- (-183)/21. Suppose 0 = i + 2*i - k. Let c(x) = 2*x - 17. Calculate the remainder when c(16) is divided by i.
0
Let r(q) = -q**3 + 11*q**2 + 21*q - 22. Let w be r(11). Suppose -113 = -14*i + w. What is the remainder when 23 is divided by i?
0
Suppose -37 = -3*y + z + 143, -3*z - 60 = -y. Let d = y - 32. Suppose 0 = -4*g + d + 8. Calculate the remainder when 32 is divided by g.
5
Suppose 0 = 114*a - 117*a - 2*v + 364, 0 = 5*a - 4*v - 570. Calculate the remainder when 999 is divided by a.
55
Let t = 107 + -52. Suppose a = -3*r + 80, -203*r + 4*a - 117 = -208*r. What is the remainder when t is divided by r?
26
Let j(g) = -g**3 - 5*g**2 - 3. Let f be (0 - 1)/(6/30). Let w be j(f). What is the remainder when w + 2*31/2 is divided by 8?
4
Suppose 3*w = 2*o + 110 + 22, 0 = w - 5*o - 70. What is the remainder when 639 is divided by w?
39
Let x be (-4)/16 + 8/32. Suppose 3*n - 4*d - 281 - 203 = x, -658 = -4*n - d. What is the remainder when n is divided by 28?
24
Suppose 96 = 5*n + 35*u - 39*u, 2*u = 4*n - 84. Calculate the remainder when 2198 is divided by n.
14
Let i(k) = -k**3 + 43*k**2 - 342*k + 99. What is the remainder when i(31) is divided by 22?
17
Let w(o) = 4*o + 405*o**2 + 7*o + 21 - 403*o**2. Calculate the remainder when (-627)/(-9) - 4/6 is divided by w(-3).
3
Suppose -5*l + 184 = -266. Suppose -12*j + 6*j = -l. Calculate the remainder when 98 is divided by j.
8
Let a = 1016 + -590. Let u = -411 + a. What is the remainder when 27 is divided by u?
12
Let l(z) = 2*z**3 - 29*z**2 + 19*z - 30. Let t be l(15). Suppose -33*c + t = -2853. Calculate the remainder when c is divided by 17.
16
Let b be 5*1/20*68. Suppose 37 = 6*y - b. Calculate the remainder when 89 is divided by y.
8
Suppose -57*k + 3452 + 292 = -25*k. Let m = 13 + 11. Suppose -3*o - m = -4*o. What is the remainder when k is divided by o?
21
Suppose -2*v = q - 1269, 5*v - 6*q - 3174 = -10*q. What is the remainder when v is divided by 22?
18
Let z(u) be the second derivative of 13*u**3/2 + u**2 - 415*u. Let g = 2 - 0. What is the remainder when z(g) is divided by 14?
10
Let j = -2 + 38. Let t(d) = d**3 - 34*d**2 - 69*d + 3. What is the remainder when t(j) is divided by 25?
11
Suppose -158*u + 36322 = -26720. What is the remainder when u is divided by 55?
14
Suppose 51*j = j - 1430 + 9130. What is the remainder when 946 is divided by j?
22
Let d(j) = -54*j + 11 - 58*j - 59*j - 52*j + 222*j. Let g(f) = f**3 - 6*f**2 + 6*f - 1. Let w be g(5). Calculate the remainder when 19 is divided by d(w).
5
Suppose 2*b - 169 - 143 = 0. Let s = -10 + b. What is the remainder when s is divided by 37?
35
Suppose 169*j - 187 = 150 + 1. Calculate the remainder when 96 is divided by j.
0
Suppose 108 = 5*b - 2*y + 30, -48 = -b + 4*y. What is the remainder when 1204 is divided by b?
4
Let q = 365 + -248. Let o = 1198 - 1306. Let n = o + q. What is the remainder when n is divided by 7?
2
Let f(l) = l**2 - l - 1. Let x = 116 + -111. Let g(w) = -6*w**2 + 7*w + 17. Let c(i) = x*f(i) + g(i). Calculate the remainder when c(0) is divided by 4.
0
Let l(w) = -3*w + 8*w + 6 + 7*w**2 - 4*w - 4. Calculate the remainder when l(2) is divided by 11.
10
Let w(k) = k**3 + 11*k**2 - 14*k - 19. Suppose 0 = 2*b - 16*b - 168. Let n be w(b). Suppose -n*m + 144 = m. Calculate the remainder when 115 is divided by m.
19
Suppose 3*s = 3*n - 297, 5*n = 2*n - 4*s + 297. Suppose 18*r + 13722 + 2244 = 0. Let m = r - -907. What is the remainder when n is divided by m?
19
Let c = 4 + -89. Let m = c - -118. What is the remainder when 74 is divided by m?
8
Let k be (4 - -3 - 100)/(12/(-20)). Suppose -5*a = -5*n + k, 5*n + 18 - 155 = -4*a. Calculate the remainder when n is divided by 18.
11
Suppose u = -3*x - 2*x + 305, 4*x + 4*u - 260 = 0. What is the remainder when (-5*7/(-140))/((-18)/(-51768)) is divided by x?
59
Suppose d = -5*x + 243, -22*d = 2*x - 24*d - 102. Calculate the remainder when 191 is divided by x.
44
Let t = -968 - -1513. Calculate the remainder when t is divided by 14.
13
Let h = -237 - -205. Let c = 65 - h. What is the remainder when c is divided by 23?
5
Suppose -83*m - 38 + 119 + 334 = 0. Calculate the remainder when 1824 is divided by m.
4
Suppose 5 = 2*h - h. What is the remainder when -1*(-4 + h) - -78 is divided by 26?
25
Let x(g) = 906*g + 99. What is the remainder when x(1) is divided by 8?
5
Suppose -76*n + 74*n + 2 = 0. Suppose 16 = 5*o + n. Calculate the remainder when 171/(-4 + 7) - (o - 0) is divided by 8.
6
Let u = 29 - 12. Suppose 0 = 11*g - 102 + 36. Calculate the remainder when u is divided by g.
5
Let f(s) = 6*s - 17 + 0*s + 117*s**2 - 116*s**2 + 0*s. Calculate the remainder when f(4) is divided by 6.
5
Suppose 7460 = 5*i - 7*f + 1422, -2*f - 3603 = -3*i. Calculate the remainder when i is divided by 225.
70
Let k(h) = h**3 - 4*h**2 + 5*h - 4. Let v be k(2). What is the remainder when 142 is divided by (-22)/22 + -22*v/2?
16
Let h = -26673 - -35490. What is the remainder when h is divided by 21?
18
Let v be (8/5)/((3/(-35))/3). Let s = -86 - v. Calculate the remainder when 51 is divided by (-2)/(s/267) + (-3)/(-15).
15
Suppose -3*t = -5*z + 150, -86*z - 39 = -88*z - 3*t. Suppose -3 - 3 = -k. What is the remainder when z is divided by k?
3
What is the remainder when (618/8)/(90/240) is divided by 41?
1
Let h be ((-3)/(-3) - 7)/(-2). Suppose h*f = 2*f + 9. Suppose 149 + 43 = 12*p. Calculate the remainder when p is divided by f.
7
Suppose 0 = -61*d + 13453 - 3266. Suppose -3*l - k + 31 = 3*k, -2*l + 59 = -5*k. What is the remainder when d is divided by l?
14
Let l = -2070 - -2144. Calculate the remainder when 522 is divided by l.
4
Suppose -14*s + 1540 = -0*s. Let u = s - 101. Calculate the remainder when 106/6 + (-4)/6 is divided by u.
8
Suppose -3*j + 3*q + 903 = 2*q, 0 = 4*j + 5*q - 1223. Suppose -n - n + j = 0. Calculate the remainder when n is divided by 19.
18
Suppose a + 36*a = 254*a - 6293. What is the remainder when 200 is divided by a?
26
Suppose -27*b = -31*b - 296. Suppose s + s = 22. Calculate the remainder when b/(-4) - (-2)/4 is divided by s.
8
Let f(a) = -a**3 - 10*a**2 - 18*a - 27. Let b be f(-8). Let g(p) = p**2 + 12*p + 64. Calculate the remainder when g(b) is divided by 14.
11
Let m(s) = -16*s**3 - 4*s**2 + 45*s + 48. What is the remainder when 49 is divided by m(-1)?
4
Calculate the remainder when 275 is divided by 668/(-2338) - ((-326)/(-4))/((-14)/4).
22
Let a = -46278 + 46302. Let h = 282 + -52. What is the remainder when a is divided by h/18 + 2/9?
11
Calculate the remainder when (57105/(-18))/(-27) - 1/(-2) is divided by 35.
13
Let k(s) = 1 + 16*s**2 + 0*s - 2*s - 40*s**2. Let u be k(1). Let p = u + 56. Calculate the remainder when p is divided by 11.
9
Suppose -8*a + 10 = 2*a. Suppose -c - 4*o = -a - 2, -4*o - 25 = -3*c. Calculate the remainder when -2 - (c/3)/((-2)/6) is divided by 4.
1
Suppose 5*o + f - 414 = 0, 2*o = -5*f + f + 180. What is the remainder when 150 is divided by o?
68
What is the remainder when 820 is divided by (-3784)/(-110) + -34 - ((-4848)/10)/3?
10
Suppose 0 = 3*z - 30*y + 35*y - 1867, 3*y + 1232 = 2*z. Let d = z - 612. Let u = 9 + 18. Calculate the remainder when u is divided by d.
6
Let c(p) = -p**2 + 37*p - 46. What is the remainder when 1871 is divided by c(35)?
23
Let i(b) = -14*b - 18. Let c(t) = -t**2 + 2*t. Let h be c(3). Calculate the remainder when 93 is divided by i(h).
21
Suppose -4*x - 5*a + 469 = 222, 7*x - 461 = -3*a. Calculate the remainder when 181 is divided by x.
45
Suppose z = 4*z + 4*c + 11, 0 = -c - 5. What is the remainder when (767/26 + 25)*(-1 - -3) is divided by z?
1
Let b = 102 - -1. Let w = -2606 - -2662. Calculate the remainder when b is divided by w.
47
Let a = -82 + -412. Let p be (-6)/(-10) + a/(-10). Let q = p + -44. What is the remainder when 11 is divided by q?
5
Let d(k) = -14*k + 6 - 5 + 12*k - 24*k. Let b be d(-2). Let x = -27 + b. What is the remainder when x is divided by 6?
2
Let a = 21883 - 21688. What is the remainder when a is divided by 45?
15
Let f = -313 + 462. Suppose -f = -8*n - 13. Calculate the remainder when 320 is divided by n.
14
Suppose -87*c + 3516 = -84*c + 3*j, -3*j + 5870 = 5*c. What is the remainder when c is divided by 294?
1
Let u be ((-1)/4)/((-1)/28). Suppose -2*v + 7 = -5*p, -v + 6 = -u*p