?
5
Let s = 11921 - 11910. What is the remainder when 1867 is divided by s?
8
Let l be (-18)/27 - (-23)/6*2. Suppose -z + 3 = 0, -3*b + z + l = -98. What is the remainder when 104 is divided by b?
32
Suppose -y + 9 = 3*j, 9*y - 5*j = 6*y + 41. What is the remainder when 862 is divided by y?
10
Suppose -12*h - 33*h = -1669 - 1661. What is the remainder when 629 is divided by h?
37
Let t(z) = 13*z**3 - 3*z**2 + 6*z - 4. Let l be (-6)/4 - ((-108)/(-24) - 7). Calculate the remainder when 58 is divided by t(l).
10
Suppose -p + 5*p = 3*m + 1000, 0 = 4*p - 4*m - 996. Let v = 258 - p. Calculate the remainder when 47 is divided by v.
2
Let o = 103 + -71. Suppose j = 5*j - o. What is the remainder when 94 is divided by (j/6)/((-3)/(-18))?
6
Let j be (-690)/(-20)*(-2)/3. What is the remainder when -3*j/15 - 6/10 is divided by 42/9 - 2/3?
0
Let q(j) be the second derivative of -j**5/20 - 5*j**4/3 - 53*j**3/6 - 11*j**2 + 33*j. Calculate the remainder when q(-17) is divided by 8.
4
Calculate the remainder when 1158/(-5)*4340/(-372) is divided by 33.
29
Let z = 313 - -32. Let y = -329 + z. What is the remainder when 1293 is divided by y?
13
Suppose 88 = 4*f + 76, -a - f + 50 = 0. Calculate the remainder when 203 is divided by a.
15
Suppose -4*y + 26 = -2*w, 0 = -w - 0 - 1. Let l = 140545 + -140505. Calculate the remainder when l is divided by y.
4
Let p be ((-711)/(-6))/((-2)/(-32)). Let c = -8 - -48. Calculate the remainder when (p/180*-6)/((-2)/5) is divided by c.
38
Suppose 276*t = 289*t + 1729. Calculate the remainder when 2/(-2) - (t + 49) is divided by 8.
3
Let d(z) = -455*z - 1808. Calculate the remainder when 8649 is divided by d(-4).
9
Let z = 17646 + 26236. What is the remainder when z is divided by 69?
67
Let q(x) = -89*x - 2325. Calculate the remainder when 3447 is divided by q(-30).
342
Let j be 25369/(-115) - (-9)/15. Let c = -183 - j. What is the remainder when c is divided by 16?
5
Suppose -2*g - 24 + 0 = 0. Let c(v) = -v + 6. Let w(l) = l**2 - 2*l - 2. What is the remainder when w(7) is divided by c(g)?
15
Let a be (-21)/(-14) + (-1)/2. Let h be (-3*a + 2)/((-7)/(-28)). Calculate the remainder when (h/4)/((-1)/6) is divided by 3.
0
Let j(v) = -11*v - 150. Let a be j(31). Let o = a + 638. Calculate the remainder when o is divided by 17.
11
Let x = 75 + -68. Suppose -37 + 94 = f. Calculate the remainder when f is divided by x.
1
Let g be 91/5 + 0 + (-36)/(-45). Suppose -18*k = -g*k + 19. What is the remainder when 166 is divided by k?
14
Suppose 3*y = 4*q + 29, -6*q - 25 = -q. Suppose 0 = -2*v - 2*w + 16, -3*v - 3*w + 29 = w. Calculate the remainder when (7 - 1) + 1 + -3 + y is divided by v.
1
Let j(m) = -6*m**2 - 35*m + 192. Let z(c) = -3*c**2 - 17*c + 96. Let x(g) = 6*j(g) - 13*z(g). Calculate the remainder when x(6) is divided by 27.
24
Suppose -3*y = -2*g + 1406, 3*y - 2106 = -3*g + 6*y. Let d = g + -695. Calculate the remainder when 33 is divided by d.
3
Let u(g) = g**3 + 7*g**2 - 7*g + 10. Let y be u(-8). Let v(c) = -13*c - 117. What is the remainder when v(-11) is divided by (-9 + y)/(2 - 3)?
5
Let a(r) = -r**2 + 4*r + 36. Let p be a(-4). Suppose 7*o - 2*o + f - 267 = 0, p*o + f - 213 = 0. What is the remainder when 209 is divided by o?
47
Let c(x) = -x**3 + 4*x + 5. Let v be c(-2). Suppose -47 + 17 = v*g. What is the remainder when 53 is divided by -3*(44/g + 1)?
15
Suppose 11*z + 16079 = 166*z - 4846. What is the remainder when 2151 is divided by z?
126
Suppose 0 = -5*u + 4*u. Suppose 2*a = 2*p - 3*p + 425, u = -p + 5. Suppose -2*y + a = y. What is the remainder when y is divided by 21?
7
Let g = 352 + -349. Suppose -5*f - 5*r = -420, 223 + 112 = 4*f + g*r. Calculate the remainder when f is divided by 15.
8
Suppose -r + 388 = x, -1709*x = -r - 1713*x + 418. Suppose -5*m = -2*z + 172, 2*z - 3*m = 81 + 83. Calculate the remainder when r is divided by z.
74
Let i = -74 + 180. Suppose i*f - 102*f = 880. What is the remainder when f is divided by 28?
24
Suppose 900 = 5*l - 5*i, -l + 192 = -45*i + 50*i. Suppose -13*k + 9*k = -172. Calculate the remainder when l is divided by k.
10
Suppose 0 = 108*d + 26222 - 95126. Calculate the remainder when d is divided by 209.
11
Suppose -26*m + 29*m - 4066 = -5*j, -5*j = -2*m - 4106. Calculate the remainder when j is divided by 39.
38
Let q be (-3 + 4)*6 + -1. Suppose 5*d + i = d + 924, -q*d = -2*i - 1142. Calculate the remainder when d is divided by 18.
14
Let g = 70 - 50. Let r be 2/15*-9*15/(-6). Suppose -5*k - 3*c - c = -491, 3 = -r*c. What is the remainder when k is divided by g?
19
Suppose 121*f = 122*f + 2*i - 25, -5*i + 54 = 2*f. What is the remainder when 530 is divided by f?
3
Suppose 0 = 4*y - 3*b - 512, -32*b + 637 = 5*y - 35*b. What is the remainder when 1248 is divided by y?
123
Let x be (0/6 - 2)*-4. What is the remainder when 1/(x/(-4224)*-6) is divided by 55?
33
Let u(r) = r + 320. Let t be u(-7). Suppose 2*a - 2*h - t = -3*h, 2*a - h = 323. Calculate the remainder when a is divided by 18.
15
Suppose 15*x + 2*t = 11*x + 8, -5*x - t = -13. What is the remainder when 273 is divided by x?
0
Suppose 26*h - 252*h = -1130. Calculate the remainder when 86 is divided by h.
1
Let i(j) = -j**3 - j**2 + 4*j - 2. Let p be i(2). Let q be (70/p)/(5/(-15)). Suppose -115 = -5*h + q. What is the remainder when h is divided by 16?
14
Let x = -451 - -473. Let l(j) = -j**3 + 20*j**2 + 43*j + 54. Calculate the remainder when 154 is divided by l(x).
26
Suppose 4*s + 2*h - 192 = 0, s - 13 = 4*h + 17. Let u(l) = -l**2 + 102*l + 1898. Calculate the remainder when s is divided by u(-16).
6
Suppose -3*h - 70 - 233 = 0. Let n = -69 - h. What is the remainder when 58 is divided by n?
26
Let q(p) be the first derivative of p**3/3 - 9*p**2 - 67*p - 83. What is the remainder when 145 is divided by q(22)?
19
Suppose -39*o + 2912 = -25*o. What is the remainder when 66 is divided by 7254/o + (-1)/(-16)*2?
31
Let o(s) = 13*s**3 + 3*s**2 - 5*s**2 + 3*s**2 + 11*s - 16 + 4*s. Calculate the remainder when o(1) is divided by 4.
1
Let u(l) = -l**3 + 7*l**2 - 4*l - 10. Let v be u(6). Let k be 39 - (2 + (2 - v)). Suppose 86 = 39*g - k*g. What is the remainder when g is divided by 23?
20
Suppose -1210 = 33*y - 2959. Calculate the remainder when 58 is divided by y.
5
Suppose 0 = -4*a + 79 + 105. Let p = 90 - a. Suppose 8 = -4*l + p. What is the remainder when 24 is divided by l?
6
Suppose q - 2*d - 47 = 0, d + 3 = 4*d. Let v be (-693)/66*40/36*-3. Suppose 44*a - q*a = -v. Calculate the remainder when 13 is divided by a.
6
Suppose -t - 5*y + 125 = 0, 3*y - 515 = -3261*t + 3256*t. Calculate the remainder when 375 is divided by t.
75
Let j(i) = 272*i + 5063. Let y(h) = h**2 - h + 13. Calculate the remainder when j(-18) is divided by y(0).
11
Let w(f) = 176*f - 50. Let a be w(-5). Let i = a + 938. Calculate the remainder when 351 is divided by i.
7
Suppose f + 458*j = 457*j + 67, -5*j + 197 = 3*f. Calculate the remainder when 1240 is divided by f.
67
Suppose -6*m + 39 = 15. Suppose m*k + 5*z - 51 = 21, k - 29 = -4*z. What is the remainder when 739 is divided by k?
11
Suppose -2*l = -5*y - 1 + 5, -7 = -l - 2*y. Suppose l*u - u = 214. Let a = 17607 + -17553. Calculate the remainder when u is divided by a.
53
Suppose 152*z + 340206 = 1252814. Calculate the remainder when z is divided by 35.
19
Suppose 0 = -7*g + 206 + 172. What is the remainder when g is divided by (-18)/42 - (-960)/84?
10
Suppose 5*u - 91 = 2*g, 5*u + 9*g - 84 = 12*g. Calculate the remainder when 671 is divided by u.
20
Let d(k) = -k**3 - 46*k**2 - 5*k - 92. Suppose 22*j + 138 = 19*j. What is the remainder when d(j) is divided by 35?
33
Let w = -9226 + 9245. What is the remainder when 795 is divided by w?
16
Suppose 36*x - 45*x = -891. Calculate the remainder when x + 6/2 + -7 is divided by 20.
15
Let o(z) = z**2 + 8*z + 14. Suppose 16*r - 51 = 13*r. Suppose -8*k + r = 73. Calculate the remainder when 13 is divided by o(k).
6
Suppose -2*f - 3*k + 172 = 3*f, 3*f + 4*k = 112. Let q = -675 + 786. Suppose 110 = 13*r - q. What is the remainder when f is divided by r?
15
Suppose -s - 6 = 4*k, 75*k - 74*k = s - 9. What is the remainder when 522 is divided by s?
0
What is the remainder when 2259*2/3 + 25 is divided by 752?
27
Let y(b) = 8*b**3 - 19*b**2 - 11*b + 21. What i