1 = u + i. What is the remainder when u is divided by 21/9 - (-410)/30?
15
Let f = 24 - 14. What is the remainder when 8*(3/12*127 + 3) is divided by f?
8
Let i(r) = 418*r + 6408. What is the remainder when 1071 is divided by i(-15)?
105
Suppose o - 12*x = -14*x + 54, -2*x = -2. What is the remainder when 54 is divided by o?
2
Suppose -79*m + 4596 = 304*m. Calculate the remainder when 585 is divided by m.
9
Let c(u) = 67*u**2 - 6*u + 4. Suppose -6199 = -10*a - 1029. Calculate the remainder when a is divided by c(1).
62
Let i be 1 + 0 + (2 - 4) + 2105. Suppose -3*j + 2492 = -z + 914, -4*j - z + i = 0. What is the remainder when j is divided by 12?
10
What is the remainder when 5399 is divided by -1 - (-4 + -1569)/13?
119
Suppose 0 = 6*a - 3*a. Suppose a = -2*v + 538 - 48. Suppose -3*l - 215 = -4*q + 2*l, -4*q - l + v = 0. Calculate the remainder when q is divided by 21.
18
Let c(b) = -b**3 - 34*b**2 + 3*b + 232. What is the remainder when c(-41) is divided by 45?
41
Let i = 6573 - 6450. What is the remainder when 755 is divided by i?
17
Suppose 0 = a - 5 + 17. Let g(z) = -z**3 - 12*z**2 - 2*z + 7. Let o = -206 + 218. What is the remainder when g(a) is divided by o?
7
Suppose -286 = -93253*p + 93242*p. Calculate the remainder when 820 is divided by p.
14
Let j(r) = -6*r - 15. Let i be j(-6). Suppose -4*a = 3*a - i. Suppose -q = a*t - 34, 13 = q - 3*t - 33. What is the remainder when q is divided by 14?
12
Suppose 8*f - 27*f = 190. Calculate the remainder when (-1 + 2)/(f/(-110)) is divided by 7.
4
Let j = -11566 + 11577. Suppose -468 = -3*y - y. What is the remainder when y is divided by j?
7
Suppose -15*t + 442 = -3 + 10. Calculate the remainder when 1824 is divided by t.
26
Suppose -5*a + 4*a = -155. Suppose -9*o = -4*o - a. Calculate the remainder when 494 is divided by o.
29
Suppose -85*w + 75*w = -1190 - 680. What is the remainder when w is divided by 19?
16
Suppose 5*i + 11*x - 1844 = 15*x, -4*i + 5*x = -1486. What is the remainder when 766 is divided by i?
38
Let w(u) = u - 3. Suppose 0 = -11*l - l + 192. Let b(a) = -6*a + 16. Let m(c) = l*w(c) + 3*b(c). Calculate the remainder when m(-6) is divided by 7.
5
Suppose 1927 + 1028 = 3*s. Suppose -343*j + 91*j = -4788. What is the remainder when s is divided by j?
16
Let j = -467 - -541. Suppose 810 + j = 13*w. Let y(x) = 2*x**2 + x + 2. What is the remainder when w is divided by y(2)?
8
Let c(d) = -18*d - 13. Let j = -196 + 195. What is the remainder when 49 is divided by c(j)?
4
Suppose a = -2*x - 78 + 227, -a - 4*x = -155. What is the remainder when a is divided by 4?
3
Suppose 355 + 742 = 37*w - 309. Calculate the remainder when 2770 is divided by w.
34
Let w(a) = a**3 - a**2 - 69*a + 75. What is the remainder when 10861 is divided by w(-8)?
49
Let c be (0 + 3)/((-5)/170). Let i = 104 + c. Calculate the remainder when 31 is divided by (-5 + (-17)/(-2))/(i/4).
3
Let s(h) = h**3 - 3*h**2 - 4*h + 3. Let z be s(4). Let q be (44/33)/((-2)/z). What is the remainder when (-5 - q)*(-2)/6 + 1 is divided by 1?
0
Suppose 0 = -611*l + 548*l + 17136. What is the remainder when 2175 is divided by l?
271
Let a = -67 + 95. Let u be (-11 - -15)/(2/(-9)). Let i = u + 28. What is the remainder when a is divided by i?
8
Let h be (-1122)/(-16) + 1/(-8). Suppose -3*k = -5*k + h. What is the remainder when k is divided by (12/6 - 3) + -1 + 21?
16
Let p(j) = 309*j - 1563. Calculate the remainder when p(6) is divided by 290.
1
Let h = -10474 - -11658. Calculate the remainder when h is divided by 574.
36
Let c(b) = -38*b + 48. Let o be c(5). Let q = o - -166. Calculate the remainder when q is divided by (5/(-3))/(2/(-6)).
4
Let b(g) = 339*g + 1295. Suppose 0*v - 2*v = -70. What is the remainder when b(-3) is divided by v?
33
Suppose -18*n + 171 + 1233 = 0. Let d = 18 - 5. Suppose 27 = f - d. Calculate the remainder when n is divided by f.
38
Suppose -10*o + 16 = -9*o. What is the remainder when 49 is divided by 340/o - (33/(-12) - -3)?
7
Suppose 9*v - 7 = 8*v + 2*x, 5*x + 25 = 5*v. Suppose -v*w + 695 + 64 = 0. Calculate the remainder when w is divided by 17.
15
Let b(t) = -629*t + 3215. Calculate the remainder when 1202 is divided by b(5).
12
Let i(a) = 4*a**2 + a - 2. Let j = 336237 + -336223. Calculate the remainder when i(2) is divided by j.
2
Let f(r) = 9*r**2 - 39*r - 179. What is the remainder when f(-7) is divided by 20?
15
Suppose -i = 3*i + 140. Let g = 49 - 61. Let n = g - i. Calculate the remainder when 183 is divided by n.
22
Suppose 36 = -2*g + 3*g + 5*v, 44 = 4*g - 5*v. What is the remainder when 382/(6/((-3)/(-1))) is divided by g?
15
Let l(v) = -13*v + 3*v**2 + 6 + 16*v - 14. Let b be l(7). Suppose -11*y = -3*y - b. What is the remainder when 79 is divided by y?
19
Suppose j + 3*f = -4*j + 1428, -2*j + 584 = -2*f. Calculate the remainder when j is divided by (232/(-56))/(16/(-14) + 1).
27
Let s = -167 - -170. Suppose -s*i = -9*i + 282. Calculate the remainder when i is divided by 19.
9
Let z(k) = 3*k**3 + 4*k**3 - k**3 - 7*k**3 + 5 + 6*k**2 + k - 15. What is the remainder when 135 is divided by z(3)?
15
Suppose 0 = 5*u + 2*c - 54, -4*c = 12 - 0. Suppose -5*n + 3*i + 262 = 0, 5*i = 2*i - u. Calculate the remainder when 347 is divided by n.
47
Suppose 2*q - 5*y = 5*q + 4, -4*y = 8. Suppose -68*n + 2*t = -69*n + 8, 5*t = 5*n - 55. Suppose -23*o - n = -148. What is the remainder when o is divided by q?
0
Suppose 29*i + 37*i = -18*i + 1848. Calculate the remainder when 257 is divided by i.
15
Suppose -14*f = -10*f - 20. Suppose -m - 2*i = -62, i - 388 = -f*m - 69. Suppose 2*s = m - 8. Calculate the remainder when 138 is divided by s.
26
Suppose 3*x + r + 80 = 0, -r = 4*x + 176 - 68. Let h = x + 52. Calculate the remainder when h is divided by 105/(-6)*(-28)/49.
4
Suppose 0 = 2*d - p - p - 24, 5*p = 2*d - 39. What is the remainder when (13 - 408/30) + -4 + (-1152)/(-20) is divided by d?
4
Let n = -2221 - -2350. Calculate the remainder when 381 is divided by n.
123
Suppose 0*z + 15 = 5*z, 20925 = 3*m - 12*z. Calculate the remainder when m is divided by 15.
12
Let l(d) = 50*d - 276. What is the remainder when 454 is divided by l(6)?
22
Let o(l) = 5*l - 9. Let m(q) = q. Let d(b) = m(b) + o(b). Let i be d(-5). Let r = i + 52. Calculate the remainder when 47 is divided by r.
8
Let c(p) be the first derivative of p**4/4 + 19*p**3/3 - p**2 - 18*p + 39. What is the remainder when c(-18) is divided by 49?
48
Let x(q) = 2*q**2 - 269*q - 2539. What is the remainder when x(-9) is divided by 15?
14
Let g be 3*(-19)/((-3 - -7)/(-12)). Suppose -2*l + g = l. What is the remainder when l is divided by 20?
17
Suppose 22 = o - 16. Let f = 664 + -662. Calculate the remainder when 147/14 - 9 - (-141)/f is divided by o.
34
Let q = 13 + 22. Calculate the remainder when 5/q + (-2504)/(-14) is divided by 26.
23
Let a = -5559 - -5619. Calculate the remainder when 138 is divided by a.
18
Let g(f) = f**3 - 5*f**2 - 2*f - 8. Let s be 4/1 - (48/3)/(-4). Let h = s - -39. Calculate the remainder when h is divided by g(6).
15
Let w(f) = 236*f + 2. Let t be w(1). Let m = t - 222. Suppose -141 - 89 = -5*u + c, 2*c = u - 37. What is the remainder when u is divided by m?
15
Let q be (92/10)/(5/75). Suppose 18 + q = 3*l. Suppose -49 = -4*d - 5. Calculate the remainder when l is divided by d.
8
Let m(q) = 7*q + 4 - 5*q**2 - 139*q**3 - 24 + 140*q**3. What is the remainder when m(5) is divided by 10?
5
Let a be (-2 - 0) + 4 - (-22 - -24). What is the remainder when 127 is divided by (a + -2)*26/(-4)?
10
Suppose -82 = 5*a - 2422. Let u = 495 - a. Calculate the remainder when u is divided by 9.
0
Suppose -40*k + 392 = -12*k. Let j(t) = -2*t**2 - 37*t + 31. What is the remainder when j(-17) is divided by k?
12
Let g(w) = -2*w**2 + 12*w - 15. Let b be g(3). What is the remainder when 5 + ((-2)/b)/((-2)/9) is divided by 3?
2
Suppose -r = 2*f + 1, -4*r + 4*f + 49 = 17. Calculate the remainder when 1/(-2)*r*(-708)/10 is divided by 15.
12
Calculate the remainder when 4666 is divided by (-1104)/230*(-10)/4.
10
Let n = 5055 + -40. Calculate the remainder when n is divided by 29.
27
Let k = -21 + 58. Suppose 5602 = k*z + 1199. What is the remainder when z is divided by 10?
9
Suppose -47642 = -152*u + 24862. What is the remainder when u is divided by 1