*t. Let x = -18 - t. What is the remainder when (-1)/(-1*(-3)/(-51)) is divided by x?
5
Let a = -1903 - -2142. Calculate the remainder when 730 is divided by a.
13
Let w(r) be the first derivative of 13*r**4/4 + 14*r**3/3 - 31*r**2/2 + 3*r + 193. What is the remainder when w(3) is divided by 23?
19
Let w(o) = 243*o**3 - 59*o**2 + 255*o - 6. What is the remainder when w(4) is divided by 93?
91
Let a be (-5)/(-9 - -4) + 0 + -1. Suppose a = -13*p + 14*p - 6. Suppose g + g = p. Calculate the remainder when 8 is divided by g.
2
Let a be 0/((3 + -2)*1). Suppose -630 = -a*f - 7*f. Suppose 2*d - 2*c = -5*c + 29, 4*c - 56 = -4*d. Calculate the remainder when f is divided by d.
12
Let o = -271 - -280. Suppose 7*g - o*g = -606. Calculate the remainder when g is divided by 18.
15
Suppose 4*b + 35*b = -30810. Calculate the remainder when (-3)/(2/b*3) is divided by 12.
11
Let h = 4109 - 2435. What is the remainder when (-4)/6*h/(-36) is divided by (1/(-2))/((-2)/32)?
7
Suppose 4*f + 127*i - 131*i - 96 = 0, 2*f = -4*i + 66. What is the remainder when 285 is divided by f?
15
Suppose -297*y + 300*y - 4*d - 307 = 0, -3*y = 3*d - 279. Calculate the remainder when y is divided by 13.
6
Let x = -3831 + 3883. What is the remainder when x is divided by 27?
25
Let w be 6/(-8) - 8/384*12. Let i(u) = -1 + u - u**2 + 3 - 1 - 77*u**3 + 0. Calculate the remainder when i(w) is divided by 28.
20
Let x(m) = m**3 - 4*m**2 - 14*m + 12. Let v be x(6). Calculate the remainder when v/(6/3) - -63 is divided by ((-60)/5 + -1)/(-1).
11
Suppose 11 = -6*c + 29. Suppose 11 = -5*j - 9, c*q + 4*j = 8. Suppose -7*g + q*g - 23 = 0. Calculate the remainder when g is divided by 14.
9
Suppose 3*o = o + 80. Calculate the remainder when 478/((-3)/21 - 15/(-7)) is divided by o.
39
Suppose 0 = 3*u - g + 126, -g - 6 = -3*g. Let z = -24 - u. Calculate the remainder when 2/6 + (-2 - 582/(-9)) is divided by z.
12
Let g = 106 - 108. Let r be 3/g*3*(-180)/81. Suppose p - 8 = -3*y - 0, -y + r = p. Calculate the remainder when 53 is divided by p.
9
Let a(y) = -y**2 - 20*y - 6. Let h be (-2 - -1)*3*(-102)/(-18). Let k be a(h). What is the remainder when (510/k)/(-1 - 4/(-3)) is divided by 9?
7
Suppose 11*m - p - 21 = 9*m, 5*p = 4*m - 39. Suppose -l + 5 = -0*s + 2*s, -4*l - 4 = 2*s. Suppose m*r = 7*r + s. Calculate the remainder when 3 is divided by r.
0
Suppose 63*v + 99 = 414. Suppose 5*o - 2*k - 684 = o, 3*o - 4*k - 503 = 0. What is the remainder when o is divided by v?
3
What is the remainder when (9/2)/(6/(-2808)*-6) is divided by 122?
107
Let v = 4067 - 3995. Calculate the remainder when 1146 is divided by v.
66
Calculate the remainder when 282 is divided by 1048/12 - 16/12.
24
Suppose 3*q + 74 = 4*q. Suppose -2*h - 5 = -7. Calculate the remainder when q is divided by h + (6 - 2 - -15).
14
Let q = 22 - 17. Let d(y) = -y**3 + 6*y**2 - 6*y + 11. Suppose 5*h + 2*v = 25, 3*h + 1 = h - 3*v. Calculate the remainder when h is divided by d(q).
1
Suppose -4*p + 32 + 12 = 0. Let n = -61 + 87. Suppose 0 = 29*h - n*h - 90. Calculate the remainder when h is divided by p.
8
Let r = -5 + 64. What is the remainder when 246/10*25150/1509 is divided by r?
56
Let g(i) = i**2 - 33*i - 1840. What is the remainder when g(-37) is divided by 270?
210
Suppose 20 + 4 = 12*y. Suppose -y*o + 184 = -86. Suppose -3*t = 2*h - 91, -3*h + 4*t - 7*t + o = 0. Calculate the remainder when 84 is divided by h.
40
Let n = -6404 - -11967. What is the remainder when n is divided by 159?
157
Let d = -21 + 18. Let k be 1*(5/d)/((-3)/9). Let c(g) = -g + 11. What is the remainder when 11 is divided by c(k)?
5
Suppose -2*n + 66 = n. Suppose n*y = 31*y - 108. Calculate the remainder when 155 is divided by y.
11
Calculate the remainder when ((-152)/(-40) - 2) + 36330/25 is divided by 112.
111
Suppose 0 = -5*v + 5*w + 445, 2*v - 180*w + 172*w = 208. Calculate the remainder when 496 is divided by v.
76
Let v(l) = l**2 - 3*l + 3. Suppose 8538*n + 649 = 8597*n. What is the remainder when v(-3) is divided by n?
10
Suppose 14 = 3*p - p. Let i = -4 + p. Suppose t + 14 = -0*t - 4*r, 7 = -i*t - 5*r. What is the remainder when 23 is divided by t?
5
Suppose -8*q - 224 = -736. Let d = 141 - q. What is the remainder when d is divided by 16?
13
Let a(q) = 14*q + 20. Let p be a(-3). Let b = -4 - p. Suppose -5*t + 49 = -y + 10, 0 = 4*t - 5*y - 27. What is the remainder when b is divided by t?
2
Suppose -468 = -2*v + 2*u, 217*v - 215*v - 465 = -u. What is the remainder when v is divided by 46?
3
Suppose 4*g - 1729 + 365 = 0. Let d = 233 + -214. Calculate the remainder when g is divided by d.
18
Let o = -6 - -11. Calculate the remainder when o is divided by ((-24)/(-22))/(777/2849).
1
Suppose 3*l - m = 1434, -203*l - 3*m - 970 = -205*l. What is the remainder when l is divided by 61?
49
What is the remainder when 373 is divided by (-116779)/(-845) - 1/5?
97
Let k = -87 - -106. Suppose l - k - 114 = -s, -2*l + 6 = 0. What is the remainder when s is divided by 12?
10
Let x = -3040 - -3127. Suppose -126 = -2*u - 4*d, -43 = 4*u - 5*u + 3*d. Let r = x - u. What is the remainder when r is divided by 19?
13
Calculate the remainder when 1210/18 + (-6)/27 is divided by (119/5)/(1113/795).
16
Suppose 195 = 5*k + 3*o, 4*k - 3*o = -39 + 222. Suppose -4*i - 20 = 2*f, 6*f + 58 = 2*f - 2*i. Let b = f + k. What is the remainder when 74 is divided by b?
22
Let l(r) = -2*r + 36. Let v be l(15). Let o be 26/v + 23/(-69). What is the remainder when 97 is divided by 6 - o - (-12 + 0 + 0)?
13
Suppose 460 = -4*k - 4*i, -4*i + 0*i + 206 = -2*k. Let b = k - -260. What is the remainder when b is divided by 50?
49
What is the remainder when (-43640)/(-55) + -1 + 174/319 is divided by 101?
86
Let o = -156 - -180. Suppose o = 5*j - 2*a - 2*a, -2*j + a + 9 = 0. What is the remainder when 11 is divided by j?
3
Calculate the remainder when 64 is divided by (-7 + -22 + 31)/((-4)/(-86)).
21
Let k(j) = 35*j - 3186. What is the remainder when 355 is divided by k(93)?
10
Let c be (-1 - 0) + (5 - 14). Let k = c - -68. Suppose -3*s - 33 = -3*d - 93, 5*d = -4*s + 80. What is the remainder when k is divided by s?
18
Let a = 19 + -15. Let t(o) = -o**2 - o + 6. Let k be t(a). Let p = k - -17. Calculate the remainder when p is divided by 3.
0
Let q(w) = -w**3 + 3*w**2 + 10. Suppose -5*b + 0*b + 2*h = -13, -11 = -5*b + 4*h. Calculate the remainder when 28 is divided by q(b).
8
Suppose 3*g - x - 129 = 0, 5*g + 2*x = 4*x + 216. Calculate the remainder when 3274 is divided by g.
40
Let c = -121 - -197. Let g = -18 + c. Suppose 0 = 11282*b - 11306*b + 504. What is the remainder when g is divided by b?
16
Let z(m) = -13*m**3 + 4*m**2 + 8*m + 19. Let j be z(-3). Suppose 380*w + 108 = j*w. Calculate the remainder when w is divided by 48.
6
Suppose -4*l + 2*l - 2*u - 112 = 0, -4*l - 225 = 5*u. Suppose -63*t + 510 - 3641 = 1468. Let h = l - t. Calculate the remainder when 52 is divided by h.
16
Let v = -511 - -1219. Let i = v + -490. Calculate the remainder when i is divided by 21.
8
Let p(q) = -q**2 - 32*q + 135. Calculate the remainder when 211 is divided by p(-32).
76
Let y = -111 + 178. Let h(w) = -w**3 - 6*w**2 - 2*w + 11. Calculate the remainder when y is divided by h(-6).
21
Suppose -1059 = -3*t - 5*l, 147*t - 150*t - 2*l = -1059. What is the remainder when t is divided by 81?
29
Suppose 15*a = 19*a + 284. Let s = 81 + a. Suppose 2*m - 16 = s. What is the remainder when 48 is divided by m?
9
Suppose g - 44 = 13. Let b = -99 + 325. Calculate the remainder when b is divided by g.
55
Let f(r) = r**3 - 17*r**2 + 33*r - 13. Let v be f(15). Suppose -v*o = -2780 - 612. Calculate the remainder when o is divided by 27.
25
Let l be 2/4 + (-4)/(-8) - -26. Suppose -12 = -l*n + 123. Suppose d - 5*d = 3*y - 47, 25 = y - d. What is the remainder when y is divided by n?
1
Suppose 5*r - 100 = -4*b, -3*r - 121 = -7*r + 5*b. Let n = r + -11. What is the remainder when 70 is divided by ((-3)/5)/(n/(-195))?
7
Let c = -1299 + 1306. Calculate the remainder when 9 is divided by c.
2
What is the remainder when 795 is divided by (-54)/(-1) - (-63 - -7)/(-8)?
43
Let p(j) be the second derivative of j**5/20 - j**4/12 - j**3/2 - 8*j**2 + 190*j. Calculate the remainder when 127 is divided by p(5).
58
Suppose 8*o - 7*o - 4*o = -324. What