late the remainder when 276 is divided by i.
132
Suppose -4*c = -3*v - 9*c + 20, 0 = 3*v - c + 4. Suppose -8*x + 404 - 52 = v. What is the remainder when 175 is divided by x?
43
Suppose 0 = 5*n + 4*p - 88, 41*n - 4*p = 44*n - 56. Let q(k) = 50*k**2 - k. Let u be q(1). Let c = u - n. Calculate the remainder when c is divided by 9.
6
Let i be (-168)/1596 + (933/19 - -1). Let r = i - -84. What is the remainder when r is divided by 23?
19
Suppose 16*g = 4900 + 6092 + 1120. What is the remainder when g is divided by 244?
25
Let l = -18395 + 18679. Calculate the remainder when 6810 is divided by l.
278
Let q(v) = -2*v**3 + 12*v + 22. What is the remainder when q(-5) is divided by 111?
101
Suppose 47*c - 43*c + n - 15 = 0, -14 = -4*c - 2*n. What is the remainder when (309/(-9) - 9)/(c/(-6)) is divided by 5?
0
Let q(r) = 22*r**2 - 503*r - 45. Calculate the remainder when 3909 is divided by q(23).
21
Calculate the remainder when 2070 is divided by ((-1)/(-7))/((-156)/(-33852)).
24
Suppose 8*v - 10 = 246. What is the remainder when 27 is divided by (15/(-4))/5 + 120/v?
0
Suppose -5*k + 0*j - j + 15 = 0, -2*k + 2*j = -6. Suppose -2*d - 5 = -k*g - d, d = g - 5. Calculate the remainder when 46 is divided by g - (1 + -2)*(12 + 0).
10
Suppose -24*m + 23*m = -460. Suppose -454*g + m*g = 1536. Calculate the remainder when g is divided by 43.
41
Suppose -204*v + 240*v = 1332. Calculate the remainder when 4621 is divided by v.
33
Suppose 3*f - 173 = -4*u + 760, 3*f + 435 = 2*u. What is the remainder when u is divided by 205?
23
Let d = 851 + -438. Let i = d - 394. Let v = -52 + 89. What is the remainder when v is divided by i?
18
Suppose 3*g + 100 = 2*p, -4*p - 4*g + 185 + 35 = 0. Let b be 4/((-8)/(-18)) + 3. Let w = 21 - b. Calculate the remainder when p is divided by w.
8
Let n be (-6)/51 + -4*(-26)/17. Suppose -m + 2 = -2. Suppose -m*q = -n*q + 28. What is the remainder when 27 is divided by q?
13
Suppose -3*g + 5*h - 117 = -404, -3*g - h + 263 = 0. Suppose -f + g = 5*d, -13 = -d + 2*f + 7. What is the remainder when 84 is divided by d?
12
Suppose 30*j = 72*j - 15614 - 17356. Calculate the remainder when j is divided by 158.
153
Let t(u) = -9*u - 13. Let j be (-576)/252 + -2*2/(-14). Let s be t(j). Suppose -o - 5 = s*a - 4, 5*a = -25. Calculate the remainder when 165 is divided by o.
21
Let p(g) = -67*g + 1437. What is the remainder when p(13) is divided by 21?
20
Suppose -m = 3*o - 21, -5*o = 32*m - 27*m - 165. What is the remainder when m is divided by 6?
3
Let j = -84329 - -84343. Calculate the remainder when (-3 - -1*2) + 137 is divided by j.
10
Let b = 10388 - 8663. What is the remainder when b is divided by 345?
0
Suppose -4*a = -4*f - 1 + 13, -2*f + 21 = 3*a. Suppose 0 = 5*l - 3*b - 9, -2*l + l - 3 = b. What is the remainder when (2 + -7)*-2 + l + 4 is divided by f?
2
Suppose 215*j + 66 = a + 218*j, 3*a - 170 = -2*j. Suppose i = -t + 33, -i - 2*i + 4*t + 71 = 0. What is the remainder when a is divided by i?
25
Let l(k) = -k**2 + 10*k + 9. Suppose 2*s = -d - d, 0 = 5*d + 3*s + 8. Let r be d*1 + (17 - 7). Calculate the remainder when l(r) is divided by 12.
9
Calculate the remainder when (-9 + 0)/((-24)/1440) is divided by 540.
0
Let m = 1918 + -1415. What is the remainder when m is divided by 242?
19
Suppose i - 414 = -f, -1686 = -4*f + 4*i - 2*i. What is the remainder when 1261 is divided by f?
4
Let a(y) = y**3 + 4*y**2 + 4*y + 7. Let u be a(-3). Suppose -42 = -2*i - 4*h, -u*i + 3*i - 3*h + 22 = 0. What is the remainder when 53 is divided by i?
15
Let p(o) = -4 + 18 - 71*o**3 - 7*o + 70*o**3 - 13*o**2. Calculate the remainder when p(-13) is divided by 18.
15
Suppose 5*q + 2*y = -1348 + 3454, 0 = 3*q + 5*y - 1275. What is the remainder when q is divided by 107?
99
What is the remainder when 284 is divided by ((-358)/(-537))/((-4)/(-354) + 0)?
48
Let z(p) = -33*p + 49. Let w be z(11). Let m = -306 - w. What is the remainder when 894 is divided by m?
6
Calculate the remainder when 3517 - 151 - (0 - (-1 - 7)) is divided by 30.
28
Let u(g) = 16*g**2 - 2214*g - 1212. Suppose 0 = o + 2*o - 45. Calculate the remainder when u(139) is divided by o.
13
Suppose 0 = 120*d - 23430 - 21330. Calculate the remainder when d is divided by 368.
5
Let q(w) = -w**2 - 32*w - 160. Calculate the remainder when 445 is divided by q(-24).
29
Suppose -3*c = -2*c - 3. Suppose -c*i + 8*i + 190 = 0. Let o = i - -50. What is the remainder when 20 is divided by o?
8
What is the remainder when 4728/26 + 1 + 4/26 is divided by 63?
57
Let y(f) = -5*f - 2. Let b be (-3)/(30/(-8))*240/(-96). Let h be y(b). Suppose -h*w + 76 = -76. Calculate the remainder when 54 is divided by w.
16
Suppose -4*h - 48*k = -50*k - 532, 0 = 5*h - 2*k - 666. Calculate the remainder when 268 is divided by h.
0
Suppose 53*b + 1554 = 90*b. What is the remainder when 179 is divided by b?
11
Let q(i) = 10*i**3 - 5*i**2 - 7*i + 29. Let s be q(4). Suppose 18*v - s = -15*v. Calculate the remainder when 47 is divided by v.
13
What is the remainder when 6 + ((-339776)/(-56) - (-33)/(-77)) is divided by 59?
55
Suppose -67*w + 88572 = 342*w + 262*w. Calculate the remainder when w is divided by 2/(-7) - 270/(-14).
18
Let d(p) = 2*p**2 - p + 3. Let j(s) = 6*s + 16. Let y be j(8). Suppose 0*v + 3*i - 260 = -4*v, -v = i - y. Calculate the remainder when v is divided by d(3).
14
What is the remainder when 1430 is divided by 1 + (-11 - -7 - -1) - (-4 - 105)?
39
Let x(u) = u**3 - 4*u**2 - 7*u + 2. Suppose 5*s = -632*b + 634*b - 68, 0 = -0*s + 4*s. What is the remainder when x(7) is divided by b?
32
Suppose -y + 13 = -5*l, -5*l + 3*y = -3 + 12. What is the remainder when (1 + (654/l)/(-2))/2 is divided by 27?
1
Let q(r) = -r**2 - 11*r - 19. Let b be q(-7). Suppose 3*j - b*j = -102. Calculate the remainder when 62 is divided by j.
11
Let d be 1/(12/(-9))*(22 - 10). What is the remainder when (4/(-3))/(-2)*(d - -276) is divided by 23?
17
Suppose 4*a + 2*d - 14 = 0, -23*a + 2*d - 5 = -24*a. Suppose -45 = -5*q + a*w - 2*w, 49 = 3*q - 5*w. Calculate the remainder when 270 is divided by q.
6
Suppose -53*p = -749 - 2797 - 4881. Calculate the remainder when p is divided by 60.
39
Let m(i) = i + 15. Let o(c) = 2*c + 14. Let n(f) = -6*m(f) + 5*o(f). Let p be n(4). Calculate the remainder when 20 is divided by (33/6)/((-10)/p - 2).
9
Let g(q) = q**3 - 4*q**2 - 11*q + 35. Let r(l) = l**3 + 21*l**2 - 19*l + 73. Let b be r(-22). Calculate the remainder when g(b) is divided by 53.
52
Let l(p) = p**2. Let k(r) = r**3 + 22*r**2 + 41*r - 4. Let m(j) = k(j) - 5*l(j). What is the remainder when 38 is divided by m(-14)?
8
Let x(t) = -190*t**3 + 3*t**2 - 1. Let i be x(-1). Suppose 0 = -90*l + 84*l + i. Let z(f) = -13*f - 3. Calculate the remainder when z(-5) is divided by l.
30
Suppose 3*x + 13*b - 573 = 10*b, -3*b = -5*x + 947. What is the remainder when 959 is divided by x?
9
Suppose -13*i + 29*i = 12384. What is the remainder when i is divided by 110?
4
Suppose 270 = w + 5*w. Suppose -w = -3*c + 147. What is the remainder when c is divided by 17?
13
Let z be 23/115*((24 - 0) + 1). Suppose -x + z = -9*i + 10*i, -25 = -5*x - i. What is the remainder when 22 is divided by x?
2
Let l(g) = -16*g + 3. Let b be l(6). Let r(w) = -w**3 + 10*w**2 + 85*w - 186. What is the remainder when b/(-2) - (-2)/4 is divided by r(2)?
15
Let o = -288 + 282. Let w = 76 - 45. Calculate the remainder when 3200/55 + 3*o/99 is divided by w.
27
Suppose -172*t + 3*k = -168*t - 150, 4*t = -4*k + 108. Calculate the remainder when 224 is divided by t.
26
Let w be (0 - 0) + 4 + 52. Suppose 0 = -10*q + 2*q + w. Suppose 0*s = -2*s + 26. Calculate the remainder when s is divided by q.
6
Suppose 20*x - 125*x + 16576 = -3269. Calculate the remainder when 9069 is divided by x.
186
Let o be (6 + (-72)/30)/(12/40). Suppose 0 = 5*b + 2*k - 741, 10*k - 4 = o*k. Let m = -47 + 66. Calculate the remainder when b is divided by m.
16
Let u = 1099 + 480. Suppose -12*o + u = -2057. Calculate the remainder when o is divided by 76.
75
Let l be -2*(-5930)/(-26) + (-324)/(-2106). Let f = l + 578. Calculate the remainder when f is divided by 68.
54
Suppose -7*q + 8*q - 48 = 5*m, 0 = 2*q - 4*m - 72. Suppose -3*u + 47 = 5*o + 18, -q = -4*u - 4*o. What is the remainder when 41 is divided by u?
2
What is