e the remainder when (-16)/(-12) - (-24560)/120 is divided by 168.
38
Let l = -85 + 42. Let a = 111 + l. Let m = a + -50. Calculate the remainder when 52 is divided by m.
16
Suppose 3*y = -13 + 31. Suppose 2*w - 40 = -2*h, -3*w = y*h - 5*h - 24. Calculate the remainder when 0 - (0 - 2 - 194) is divided by h.
16
Let w(p) = 46*p - 78. Let m(u) = 21*u - 39. Let t(s) = -13*m(s) + 6*w(s). Let c = 14 + 57. What is the remainder when c is divided by t(-8)?
11
Suppose -3*c - 43 = -2*a - 0, -4*a + 3*c = -77. Calculate the remainder when 264 is divided by a.
9
Let q be 0 + (-2)/(-2) + -3. Let f(w) = 9*w**3 + w**2 - 7*w - 7. Let s be f(-1). Calculate the remainder when 53 is divided by 95/q*s/20.
15
Suppose -5*y + 3*y - 5*s = 70, 0 = -4*y - 2*s - 156. Let a be y/220 + 2/11. Suppose a = -2*x - 0*x + 76. Calculate the remainder when x is divided by 8.
6
Let u = 1464 + -1430. Calculate the remainder when 4247 is divided by u.
31
Suppose 4*q + 21 = 9, 16 = o + 5*q. Calculate the remainder when 35/2*(-58 + 70) is divided by o.
24
Let k(s) = -1 + 33*s**2 - 2*s + 54*s**2 + 3*s. Calculate the remainder when k(1) is divided by (-194)/(-9) - (-18)/(-12)*48/(-162).
21
Let l = -4 + 21. Let b(g) = 91*g**3 + 2824*g**2 + 88*g - 127. Calculate the remainder when b(-31) is divided by l.
11
Let f(s) = -8*s + 75. Let m be f(8). Suppose 4*a - 133 = m. Calculate the remainder when 176 is divided by a.
32
Suppose -230*b + 2059 + 11 = 0. Calculate the remainder when 16467 is divided by b.
6
What is the remainder when 10/15*(-16716)/(-8) is divided by 93?
91
What is the remainder when 2892 is divided by ((-6)/(-26) + (-44)/78)*-33?
10
Let s = 8818 - 8191. What is the remainder when s is divided by 70?
67
What is the remainder when 412 is divided by -6 - 27/3 - -145?
22
Let y(u) = -8*u - 88. Suppose 2*q + 36 = -q. Calculate the remainder when 94 is divided by y(q).
6
Suppose 3*y + 0*f - 51 = -3*f, 5*y - 2*f = 57. Let c = 10 + -5. Suppose -c*x + z + 66 = 0, z + 56 = 4*x - 3*z. What is the remainder when y is divided by x?
0
Suppose 6*f = 2*f. Let u be (f - -2) + (3 - 17). What is the remainder when 3/(-2)*104/u is divided by 7?
6
Let c be (-3 - 175/(-42))*6. Let d(q) = 9*q + 35. What is the remainder when d(c) is divided by 35?
28
Suppose 9*y = 5*y + 40. Let d = 15 - y. Suppose -3*q + 5*q - 52 = 3*x, -56 = -3*q - x. Calculate the remainder when q is divided by d.
0
Let u be 5880/595 - 2/(-17). Let l(m) = -m**3 + 12*m**2 - 22*m + 41. What is the remainder when ((-2)/4)/((-3)/486) is divided by l(u)?
18
What is the remainder when 958740/80 + (-14)/56 is divided by 74?
70
Let h(n) = n**3 + 10*n**2 + 2*n - 13. Calculate the remainder when 17/(1/(-68)*(-114 + 110)) is divided by h(-9).
39
Suppose 30 = 2*t + 2*q, -2*t + 33 = -2*q + q. Let x = -35738 + 35783. What is the remainder when x is divided by t?
13
Let w = 46 - 28. What is the remainder when 1753/17 + (-16)/136 is divided by w?
13
Suppose 0 = -3*x - 5*q + 94, 0 = -5*x + 3*q + 13 + 87. What is the remainder when 8325 is divided by x?
22
Suppose 18 = 2*z + j, -635*j = 3*z - 630*j - 13. Let y = 66 + -36. Calculate the remainder when z is divided by y/8 + 2/8.
3
Suppose 2*o = 3*p - o - 75, -3*p + 100 = 2*o. Let u be (-51)/(-2)*(-20)/p. Let i = 47 + u. What is the remainder when i is divided by 24?
6
What is the remainder when 3172 is divided by (6/6)/((-6)/(-4)*6/207)?
21
Let r = 12327 - 12258. Calculate the remainder when 2200 is divided by r.
61
Let f be (-6)/(-84)*6 + (-1578)/7. Calculate the remainder when 6 is divided by (f/50)/(6/(-4)).
0
Let m = -409 + 418. Suppose 4*o = -o + r + 886, 0 = -o - 4*r + 194. Calculate the remainder when o is divided by m.
7
Suppose 5*s + 4*j - 189 = 0, -3*j = 3*s - 4*j - 110. What is the remainder when s is divided by 31?
6
Let i(m) = 11*m - 10. Let n be i(7). Calculate the remainder when n + (-5)/(25/10) is divided by 6.
5
Suppose -8838 = -29*y - 1008. Calculate the remainder when y is divided by 270.
0
Let k = -17328 - -17386. Calculate the remainder when 611 is divided by k.
31
Let v(k) = 13*k**2 + 54*k - 153. What is the remainder when v(3) is divided by 64?
62
Let c(h) = -57*h - 13. Let n be c(-1). Suppose 0 = n*g - 1161 - 1479. What is the remainder when 298 is divided by g?
58
Suppose 58584 = 28*u - 2904. What is the remainder when u is divided by 311?
19
Suppose 35*p - 368 - 122 = 0. Let m(s) = 9*s + 1. Let x be m(-1). What is the remainder when p is divided by (-46)/(-10) + x/(-20)?
4
Let z(w) = 8*w**2 - 28*w + 6. Let n be z(5). Let m = n - -110. What is the remainder when m is divided by 36?
32
Suppose -2*g + 26 = 3*q + 2*q, 4 = 4*g - 2*q. Suppose 0 = x + 3*r - g - 15, 0 = -r. Let j(c) = 34*c**2 - c. Calculate the remainder when j(1) is divided by x.
15
Let s = -405 - -474. Let w(i) be the third derivative of i**6/60 - i**5/6 + 5*i**4/24 - i**3/6 - 3*i**2. Calculate the remainder when s is divided by w(5).
21
What is the remainder when 128 is divided by ((-32)/(-48))/((-20)/(-150))?
3
Suppose 74 + 192 = 19*c. Suppose 0 = -2*m - 0*m. Suppose -5*y + 0*y + 265 = m. Calculate the remainder when y is divided by c.
11
Suppose 0 = 43*r - 10*r - 264. What is the remainder when 6422 is divided by r?
6
Suppose -970 = -f - n, 3299 = 3*f + n + 397. What is the remainder when f is divided by 317?
15
Suppose -k = -7*h + 112 + 371, 5*k = -4*h + 315. What is the remainder when 269 is divided by h?
59
Let p = -52 + 177. What is the remainder when (p/(-15) + 5)*-36 is divided by 41?
38
Let u(r) = -36*r - 1705. What is the remainder when 1177 is divided by u(-51)?
129
Calculate the remainder when 1302 is divided by ((-12)/45)/((-18)/4680) + 2/3.
42
Let d be ((-2)/(-4))/((-2)/388). Let h = -67 - d. Let q = 9241 - 9233. What is the remainder when h is divided by q?
6
Suppose -l - 3*f = l - 17, 5*l = 2*f + 52. Suppose 3*u = 3*n - 78, -n - 2*u + u = -28. Suppose l*t - 53 = n. What is the remainder when 31 is divided by t?
7
Let q(c) = -112*c - 2887. Suppose 3*k + 10 = 4*k. Calculate the remainder when q(-28) is divided by k.
9
Let f(g) = g**3 + 42*g**2 - 45*g - 59. Calculate the remainder when f(-43) is divided by 17 + (-6 + -9)/5.
13
Suppose 0 = -5077*a + 5066*a + 1507. What is the remainder when 1913 is divided by a?
132
Let l(q) = 2*q**2 - q - 9. Let a be l(3). Suppose -2*m + 24 = m. Calculate the remainder when 21 is divided by (-31 - m)*(-2)/a.
8
Let z(f) = f**3 - 12*f**2 + 2*f - 7. Suppose 2*u - 2*c = 70, -u - 3*c - 2*c + 23 = 0. Calculate the remainder when u is divided by z(12).
16
What is the remainder when 201 is divided by 5 + 5/((-10)/186)*22/(-33)?
0
Let a(u) = -14*u + 352. Calculate the remainder when a(8) is divided by 59.
4
Let l(v) = -v**2 + 22*v - 50. Let r(s) = -9*s - 172. Let t be r(-21). What is the remainder when l(t) is divided by 13?
9
Suppose 565 = -3*x - 262*n + 266*n, -5*n + 393 = -2*x. Suppose 2*a - a = 2*h + 49, -h = 2*a - 88. Calculate the remainder when 1/(4 + x/a) is divided by 6.
3
Suppose -w - 2*a + 0*a = -16, 25 = 5*a. Suppose -6 = 3*v, w*n - 2*n = 4*v + 348. Calculate the remainder when n is divided by 23.
16
Calculate the remainder when 2517 is divided by ((-48)/(-10) - 4)*15/(-6) - -26.
21
Let o(j) = j**3 + 25*j**2 + 192*j + 4814. Suppose -4*i + 272 = -4*q, 4*i + 111 - 368 = q. What is the remainder when i is divided by o(-25)?
7
Let b = -624 - -1012. Suppose -2*o - 374 = -b. Calculate the remainder when 26 is divided by o.
5
Let n be (-130)/(-39)*(-852)/4. Let w = 768 + n. What is the remainder when 70 is divided by w?
12
Let g = 2927 + -2777. Calculate the remainder when g is divided by 90.
60
Let g = 253337 - 253325. Let m(y) = 2*y**2 + 6*y + 5. Let t be m(-4). Suppose -2*z + t + 27 = 0. Calculate the remainder when z is divided by g.
8
Let w = 1075225 + -1075187. Let s(a) = -113*a - 1. Calculate the remainder when s(-2) is divided by w.
35
Let w(r) = r**3 - r**2 + 3*r - 1. Suppose -7*c + 4*c + 9 = 0. Let x(o) = 3*o**3 + 137*o**2 - 47*o - 36. Calculate the remainder when w(c) is divided by x(-46).
6
Let d = -2810 + 3052. What is the remainder when d is divided by 6?
2
Let a = -19590 - -20281. Calculate the remainder when a is divided by 178.
157
Calculate the remainder when 975 is divided by (-1)/((51/(-1190))/(15/5)).
65
Let l = 191 + 26. Suppose 7*y + 28 = l. S