er when s is divided by 10?
9
Suppose 101*f = t + 104*f - 599, 0 = -f - 2. What is the remainder when t is divided by 80?
45
Let t be (-42)/378 + 35/(-9). Calculate the remainder when 546 + 3/12*3*t is divided by 39.
36
Suppose 15*b - 17*b = 18. Suppose -4*q - 5*o - 12 = -87, 5*q + 2*o - 115 = 0. What is the remainder when 1/3 + (-438)/b is divided by q?
24
Suppose i = 3*t + 484, -3*i + 595 + 821 = 3*t. Suppose -8*s - 11*s + i = 0. Suppose 5*g - 118 = 187. What is the remainder when g is divided by s?
11
Let b(k) = 3*k - 39*k**2 + 19 - 45*k**2 + 85*k**2. Calculate the remainder when 29 is divided by b(0).
10
Suppose -5*k - 5*o + 34980 = 0, -21*k = -18*k - 5*o - 20956. What is the remainder when k is divided by 7?
6
Suppose 16628*r - 16611*r - 1309 = 0. Calculate the remainder when 452 is divided by r.
67
Suppose 89*y - 237*y - 11925 = 77*y. Let v = 34 - 74. Let z = v - y. Calculate the remainder when 63 is divided by z.
11
Let l = -628 - -646. Suppose -l*n = -187 - 155. What is the remainder when 62 is divided by n?
5
Let f = 842 - 815. Suppose -1 = -4*w + 23. Suppose 3*m - 2*j - 302 = 0, 4*m + j - 391 = w*j. Calculate the remainder when m is divided by f.
23
Let z(a) = 22*a - 212. Let c be z(17). Let m = -128 + c. What is the remainder when m is divided by 12?
10
Let h(i) = -3*i + 51. Let b be (135/(-6))/(-3)*(3 + 7). Let r = 95 - b. What is the remainder when h(-29) is divided by r?
18
Suppose 0 = -5*x + 7*h + 570, 2*h = 2*x + 3*x - 570. What is the remainder when x is divided by (-1)/((-20)/(-32))*-20?
18
Let u(n) = n**2 + 3*n + 4. Let j be u(-3). Let z be 290/14 + j/14. Let k = z - 3. Calculate the remainder when 88 is divided by k.
16
Let r(k) = 149*k - 6506. What is the remainder when r(54) is divided by 316?
276
Let v(w) = 8*w**2 - 111*w - 233. What is the remainder when 31 is divided by v(-2)?
10
Let u be (-2)/(-9) + (-6663)/(-27). Suppose -121 + 292 = -o. Let l = u + o. What is the remainder when l is divided by 13?
11
Let k = -1819 + 1052. Let h = 856 + k. What is the remainder when h is divided by 29?
2
Suppose 110 = 4*n + 2*l, -5*n - 13 = -5*l - 188. Suppose 0 = 38*y - 33*y - 555. Calculate the remainder when y is divided by n.
21
Suppose -51*l - 15*l = -4686. Let s = 48 - 26. Let h = 2 + s. What is the remainder when l is divided by h?
23
Let f(u) be the third derivative of 1/120*u**6 + 0 + 0*u + 24*u**2 - 3/20*u**5 - 5/12*u**4 + u**3. Calculate the remainder when f(10) is divided by 3.
0
Let y be (57 - 50)/((2 + -1)/2). Suppose -5*z = -y - 206. What is the remainder when z is divided by 16?
12
Let w = 4230 - 4221. Calculate the remainder when 153 is divided by w.
0
Let x be (3 - 6 - -2)/((-2)/(-6)). Let u be x/(-4) - (3 + (-18)/8). Suppose u*t - 88 = -2*t. What is the remainder when t is divided by 17?
10
Suppose t = 5 - 2. Suppose t*d = -2*d + 1110. Calculate the remainder when d is divided by 1518/1242 - (-2892)/108.
26
Suppose 117 = 4*n - 119. What is the remainder when n is divided by ((-7475)/(-117))/5 + 4/18?
7
Suppose -1507 = -4*n + 2*o + 1387, 5*n = 5*o + 3605. What is the remainder when 748 is divided by n?
22
Suppose 0 = 2*r - x - 887, 3063 - 1261 = 4*r + 2*x. What is the remainder when r is divided by 23?
10
Suppose 727 = 111*m + 61. Calculate the remainder when 208 is divided by m.
4
Let p(o) = o**3 + 8*o**2 + 18*o + 6. Let g be p(-8). Let c = g + 162. What is the remainder when c is divided by 4?
0
Let w = 12387 - 12286. Calculate the remainder when 415 is divided by w.
11
Suppose 0 = 15*g - 14*g + 170. Let f = g - -228. What is the remainder when 462 is divided by f?
56
Let h = -1131 + 1181. Let u = -185 - -305. What is the remainder when u is divided by h?
20
Let m be (-63)/(-42)*44/(-6). What is the remainder when ((-11)/4)/(0 - m/(-88)) is divided by 6?
4
Let u = -24 - -29. Let a(t) = t - 8 + 4*t + 9*t + t**2. Calculate the remainder when a(-15) is divided by u.
2
Suppose -12*x = -10*x - 940. Suppose 6*f = f + x. Let o(y) = -y + 35. Calculate the remainder when f is divided by o(11).
22
Let d(k) = -4*k**3 - 1. Let m be d(1). Let u(z) = -6*z + 7. Calculate the remainder when -9*186/(-9) + -3 is divided by u(m).
35
Suppose -4*u - 23 = -7. Let q(a) = 6*a**2 + 19. Let v be q(u). Let b = v + -92. Calculate the remainder when b is divided by 11.
1
Let o = 11068 + -11086. Let r(p) = -13*p + 2. Let j be r(2). What is the remainder when j/o*(-1 + -2) - -36 is divided by 5?
2
Let t be -3*-4*2/6. Suppose m - t*f = -5, 4*f - 43 = -5*m + 4. What is the remainder when 32/(-20)*45/(-2)*(-216)/(-162) is divided by m?
6
Suppose -5*n = -2*v - 150 + 576, 1278 = 6*v - 2*n. Calculate the remainder when 696 is divided by v.
57
Suppose 611*y = 2*q + 612*y - 2807, -4*q + 2*y = -5610. Calculate the remainder when q is divided by 39.
38
Let s(w) = 41*w + 3254. What is the remainder when 399 is divided by s(-79)?
9
Suppose 1477 = 6*s - 1955. What is the remainder when s is divided by 38?
2
Suppose 2*u + 13 = 5*s - 1, -3*u = -9. What is the remainder when 24 is divided by 4 + (s + -5 - 2*-2)?
3
Let f(n) = n**2 + 29*n - 67. Calculate the remainder when 1819 is divided by f(-33).
64
Suppose 3*a + 4*j = -126, 5*a - 4*j = j - 175. Let b be (-3074)/(-38) + (-4)/a. Suppose -6*d - b = -15*d. Calculate the remainder when 33 is divided by d.
6
Let d = 271 - 213. Suppose 127 + d = t + 4*g, -4*t + 695 = g. What is the remainder when t is divided by 35?
33
Let i = 271 + 172. Suppose -i = -13*b + 194. What is the remainder when b is divided by 7?
0
Suppose -39*q + 87*q - 152 = 29*q. Calculate the remainder when 4846 is divided by q.
6
Calculate the remainder when 51 is divided by ((-20)/120)/(1/(-294)).
2
Suppose 3*c + 457 = 5*q, -3*q + 3*c + 255 = 6*c. Suppose -110 = -2*g + 4*m, -565*g = -562*g - 3*m - 150. Calculate the remainder when q is divided by g.
44
Suppose p - 13 = -4*h, 0 = -3*p - p - 4*h + 4. Let o(r) = -38*r + 14*r + 7*r**2 + 16*r + 20*r. Calculate the remainder when o(p) is divided by 6.
3
Let s be -2 + (-3)/(3/(-40)). Suppose 4*z = 3*n + 58, -2*z + 3*n + s = 6*n. Calculate the remainder when (341/(-44))/((-1)/4) is divided by z.
15
Suppose -4*d + 4*f = -300, 3*d = 4*f + 137 + 90. Let r be 2/(-5) + 64/10. Suppose 0 = -r*h + h + 95. Calculate the remainder when d is divided by h.
16
Let d(v) = 2*v**3 - 16*v**2 + 3*v - 24. Calculate the remainder when d(10) is divided by 80.
6
Suppose -2*g = -914 - 1116. Let c = g + -914. Calculate the remainder when 1109 is divided by c.
99
Let k = -45 + 35. Suppose 2*v + 18 = -0*v. Let w = v - k. Calculate the remainder when 1 is divided by w.
0
Let v(b) = -12*b + 3. Let w(j) = -12*j + 4. Let m(c) = 5*v(c) - 4*w(c). Let l be 1/(3/3)*1/(-1). Calculate the remainder when 18 is divided by m(l).
7
What is the remainder when 40/(-6)*((-545)/25 + 5) is divided by 44?
24
Suppose -113 = -4*m + 187. Let i be (-393)/4 + (-13)/((-156)/(-9)). What is the remainder when m is divided by 36 - ((-6)/(-8) - i/(-36))?
37
Let a = 77 - 28. Suppose 43*u + 384 = a*u. What is the remainder when 122 is divided by u?
58
Suppose 2*t = -2*l + 1184, 14*l - 19*l = 5. What is the remainder when t is divided by 23?
18
Let u = 110 - -39. Let h(c) = c**2 + 9*c + 5. Let r be h(-8). Calculate the remainder when u is divided by 31 + r/(2 + 1).
29
Let p = 15814 - 15758. What is the remainder when 11255 is divided by p?
55
Let h(i) = -51*i + 707. What is the remainder when h(5) is divided by 160?
132
Let k(l) = -35*l + 627. Calculate the remainder when k(8) is divided by 16.
11
Suppose y - 1 = -u + 5, 0 = -4*u - y + 21. Calculate the remainder when 104 is divided by u.
4
Let n = 67 - 43. Calculate the remainder when n*((-160)/(-15) + -4) is divided by 18.
16
Let b(k) = -15*k**3 - 9*k**2 - k + 15. Let v be b(-4). Let w = -821 + v. What is the remainder when 89 is divided by w?
5
Suppose -4*g + 7547 = l, 2*g + 98*l - 3798 = 94*l. What is the remainder when g is divided by 44?
37
Suppose 2*w + 448 = -2*v, 0 = 4*w + 2*v + 838 + 68. Let z = w - -277. What is the remainder when 142 is divided by z?
46
Suppose -6*z + 23 = 3*v - 19, -38 = -v + 4*z. What is the remainder when 3735 is divided by v?
17
Let o be (-4)/(-8)*(3 - 3). Suppose o = -4*d + 62 + 58. What is the remainder when 117 is divided by d?
27
Let d = 3791 + -3777. Calculate the remain