 the remainder when 560 is divided by y?
47
Let u(v) = v**3 + 103*v**2 - 216*v - 615. Let c(z) = 6*z**2 + 10*z - 6. Calculate the remainder when c(7) is divided by u(-105).
13
Suppose q - 11*h = -6*h - 18, -13 = q - 4*h. What is the remainder when ((-1236)/84 - 8)/((-1)/q) is divided by 40?
39
Let c = -781 - -532. Let g = c - -413. What is the remainder when g is divided by 17?
11
Suppose -3*l + 4*x = 2650, 0 = 5*l - x - 2*x + 4402. Let z = 904 + l. Calculate the remainder when 829 is divided by z.
23
Let b = 8643 + -8489. Let m(q) = 2*q**2 - 3*q - 1. Suppose -1 = 4*h + 11. Calculate the remainder when b is divided by m(h).
24
Suppose -4*y + 10632 = 6*t, -340*t = -345*t - 3*y + 8860. What is the remainder when t is divided by 59?
2
Let r(d) = -d**3 + 29*d**2 + 28*d + 39. Calculate the remainder when r(25) is divided by 18.
17
Suppose 93 = 2*f + f. Let v = 658 + -568. Calculate the remainder when v is divided by f.
28
Let h(x) = 5*x**2 - 6*x - 9. Let z be h(-5). Suppose 46 = 8*o - z. Suppose -d = 2*a - 60, -5*a - 31 + 11 = 0. What is the remainder when d is divided by o?
20
Let f(z) = -9*z**3 + 10*z**2 - 10*z + 7*z**3 + 3*z**3 - 5. Calculate the remainder when f(-10) is divided by 816/17*1/2.
23
Let o(r) = -92*r + 2285. What is the remainder when o(-77) is divided by 10?
9
Calculate the remainder when 11272/14 - -1 - -19*(-5)/665 is divided by 37.
29
Let f = -195 - -220. Let p = 691 + -208. Suppose 5*j - 7 - p = 0. What is the remainder when j is divided by f?
23
Let q = 1403 + 1492. What is the remainder when q is divided by 69?
66
Suppose 3*k + 104 = -2*z, z - 5*z - 208 = 2*k. What is the remainder when (5 + -8)*1 - (-37 - 2) is divided by (338/z)/(1/(-2) + 0)?
10
Suppose 51*w - 1807 - 488 = 0. What is the remainder when 161 is divided by w?
26
Let l = 486 - 342. Let y(f) = 1269*f - 8852. Calculate the remainder when l is divided by y(7).
20
Suppose -9*l = -6*l - 9. Suppose 4*w = 3*w - 4*x + 26, l*w + 5*x = 57. Suppose w*k - 234 = 8*k. Calculate the remainder when k is divided by 4.
3
Suppose 3*i + 11*d - 1654 = 6*d, -i - 6*d = -534. Calculate the remainder when i is divided by 43.
42
Suppose -3*i = 3*o + 981, 4*o + 1309 = -0*i - 5*i. Let z = o - -415. What is the remainder when z is divided by 10?
9
Suppose -b + 83 = -3*a, 0 = 5*a - 4*b + 40 + 89. Let l = -24 - a. Suppose -g = g - 38. Calculate the remainder when g is divided by l.
4
Suppose 4*v - 426 = -198. What is the remainder when v is divided by 25?
7
Let s(z) = 2*z**3 - 36*z**2 + 169*z - 131. What is the remainder when 2481 is divided by s(11)?
33
Suppose z = -3*a + 7, -5*z = -a - 0*z - 3. Suppose -2 = a*n - 0. Calculate the remainder when 93 is divided by (-144)/(-4) + -3 + n.
29
Let z(s) = s**3 + 10*s**2 - 8*s - 80. Let b be z(-10). Calculate the remainder when 14 is divided by (b - (-18)/21)/(26/91).
2
Let k be (-28)/16 + 2 + (-9470)/(-40). Suppose -12*o - 3*b = -15*o + k, b + 163 = 2*o. What is the remainder when 330 is divided by o?
78
Let a = -13759 + 18435. What is the remainder when a is divided by 8?
4
What is the remainder when 149 is divided by 14/(-98)*7 - (-124 + 0)?
26
Let j(d) = -d**3 - 9*d**2 - 7*d - 56. Suppose 5*i + 40 = -w, -9*w + 8 = -2*i - 11*w. What is the remainder when 37 is divided by j(i)?
2
Let y = -1 - -3. Suppose -o + y*o - 317 = 0. Suppose 53736*z + 106 = 53738*z + 26. What is the remainder when o is divided by z?
37
Let k = 201 - 837. Let n = k - -775. Calculate the remainder when n is divided by 48.
43
Calculate the remainder when (-195)/(-9) - 3 - 17/(-51) is divided by (-27)/(-18)*10/3.
4
Let i(o) = 174*o**2 - 6*o - 3. Let a be i(-2). Suppose a*c - 713*c + 1088 = 0. What is the remainder when c is divided by 35?
31
Let i(v) be the second derivative of -203*v**3/2 - 40*v + 1. Calculate the remainder when i(-1) is divided by 36.
33
Suppose 3*d - 16 = -2*h, 3*h = -4*d + 3*d + 24. Suppose m - 5*v = 35, 2*v - h + 94 = 2*m. Calculate the remainder when m is divided by 0/2 - 240/(-10).
21
What is the remainder when 3175 is divided by 12/(-462)*-2037 + (-24)/(-22)?
43
Suppose 244*q + 14295 = 125*q + 124*q. Calculate the remainder when q is divided by 13.
12
Let z(m) = 15*m - 22. Let a be z(7). Suppose 0 = -5*r - 97 - a. Calculate the remainder when 31 is divided by (-5)/(-2)*(r/(-15) - -2).
9
Let m = 49 - 35. Let t = -220 + 466. Let u = -237 + t. What is the remainder when m is divided by u?
5
Let x(c) = -c**3 + 17*c**2 - 28*c - 1. Let y be x(15). Suppose -77 = -4*u - y. Calculate the remainder when 25 is divided by u.
1
Let q = -234 + 377. Let o = -123 + q. Calculate the remainder when 72 is divided by o.
12
Suppose 4*a + 1324 = 5*n - 12707, 5*n + 3*a - 14038 = 0. What is the remainder when n is divided by 1398?
11
Let v(z) be the third derivative of z**6/120 + 2*z**5/15 - z**4/24 + z**3/3 + 84*z**2. Let w = 0 - 8. Calculate the remainder when v(w) is divided by 7.
3
Let q = 5666 - 5416. Calculate the remainder when 1503 is divided by q.
3
Suppose -u - 8*u + 162 = 0. What is the remainder when (-14 - (0 + 0))/((-9)/u) is divided by 16?
12
What is the remainder when (-9992)/(-16)*-4*(-5 - (-25)/10) is divided by 2080?
5
Suppose -8*k + 13*k = 470. Suppose 4*m + 2*d - 63 = 5, -3*d = -m + 31. Calculate the remainder when k is divided by m.
18
Suppose 0 = 5*i + 5*k - 255, -4*k + 6*k = -12. What is the remainder when 62 is divided by i?
5
Let p be 6/(-4) - (-7275)/10. Let s = -39 + p. Calculate the remainder when s is divided by 69.
66
Let l(g) = -g**2 + 45*g - 466. Suppose -133 = -5*r - 13. Suppose j + 83 = 2*d, d = 3*j + j + r. What is the remainder when d is divided by l(17)?
4
Suppose -r - o = 0, -4*r = -6*r + 4*o. Calculate the remainder when 62 + r*1/(-2) is divided by 8.
6
Let k = -187 - -320. Let m = -96 + k. Calculate the remainder when m is divided by 20.
17
Let f be 1902/60*8 - (-4)/10. Let z = f + -210. What is the remainder when z is divided by ((-7)/2 + 2)*-10?
14
Calculate the remainder when 464 is divided by ((-47)/3)/(7*12/(-252)).
41
Suppose 1313 + 1957 = -15*t. What is the remainder when (1 - (-9)/(-18))*(0 - t) is divided by 23?
17
Let j(q) = 327*q**2 + 10*q - 8. Calculate the remainder when 9538 is divided by j(1).
326
Suppose -17*u + 74846 + 37458 = -84692. Calculate the remainder when u is divided by 61.
59
Let y = -92 - -331. Let j(w) = -w**3 - 15*w**2 + 22*w + 157. Calculate the remainder when y is divided by j(-16).
56
Calculate the remainder when 1*(-191704)/(-16) + 21/14 is divided by 5.
3
Suppose -5*k - 10*a + 944 = -6*a, -a - 964 = -5*k. What is the remainder when 953 is divided by k?
185
Suppose -4*l = l - 40. Suppose 4*i = 2*k + 6, -5*k - 5 - 10 = 4*i. Calculate the remainder when (-70)/k - (-24)/(-18) is divided by l.
6
Let y = -253 + 477. Let x = 266 - y. Calculate the remainder when 153 is divided by x.
27
Let j be 4/(-30) - (-43584)/180. Let s = 254 - j. What is the remainder when 58 is divided by s?
10
Suppose 0*w + 5*w = 10. Suppose -w*g - l = 37, 4*g - 5*l + 15 = -94. Calculate the remainder when 46 is divided by (7/g)/(1/(-39)).
7
Suppose -34 - 36 = 14*s. Let c be (-5)/((15/12)/s). Suppose -k + 5*k = -c, k - 22 = -z. What is the remainder when 64 is divided by z?
10
Let z(w) = 6*w**2 + 0*w**2 - 616*w + 610*w + w**3 - 7. What is the remainder when 188 is divided by z(-5)?
44
Let q(s) = -s**3 + 6*s**2 - 3*s + 6. Let n be q(5). Suppose 21*c = n*c + 755. Suppose -627*l - 342 = -636*l. What is the remainder when c is divided by l?
37
Let m be (-38)/(-133) + 508/(-14). Let k = 58 + m. What is the remainder when k is divided by 13?
9
Let b(n) = -1113 - 16*n + 1098 + 0*n. What is the remainder when b(-3) is divided by 6?
3
Let n = -4583 - -4645. What is the remainder when 927 is divided by n?
59
Let o(i) = 63*i**2 - 240*i - 54. Calculate the remainder when o(7) is divided by 21.
9
Suppose 5*j + 17 = -4*u, 3*j + 3*u = u - 11. Calculate the remainder when (2242/(-95))/((-1)/5) is divided by j/(40/15 - 3).
13
Let g(b) = b**3 + b + 38. Suppose 2 = -2*s + 2*l, -1 + 6 = 5*l. Let q be g(s). Suppose 4*i + q = 5*i. What is the remainder when i is divided by 15?
8
Let t = -752 - -739. Calculate the remainder when 3 - (7 + t) - -69 is divided by 16.
14
Let z(k) = -510*k - 2325. Calculate the remainder when z(-5) is divided by 120.
105
Sup