Let w be v(-7). Suppose -h - 5*s = -68, -3*s - 204 = -w*h + 80. Let p = h - 38. What is the remainder when 117 is divided by p?
17
Suppose 0 = -4*d + 20, -2*c + 5*d + 74 = -59. Suppose 4*o - h = 4*h - 402, -o - h - 96 = 0. Let j = o + 125. What is the remainder when c is divided by j?
25
Let u = 585 + -562. Suppose 6*c = 10*c - 12. Suppose 0 = -c*l - 7 + 142. Calculate the remainder when l is divided by u.
22
Let f = 5 - -1. Calculate the remainder when 1564 is divided by f.
4
Suppose 4*m = -o + 652, -660 = -4*m - 2*o + 3*o. Calculate the remainder when m is divided by 72.
20
Let n = 3193 + -3147. Calculate the remainder when 156 is divided by n.
18
Suppose -g - 2*t = -64, 5*g + t = -0*t + 266. Calculate the remainder when g is divided by 0 + (3/(-3) - -15).
10
Calculate the remainder when (-2163359)/(-3553) + (-6)/(-51) is divided by 303.
3
Let b be (-8 - (-114)/(-12))*-2. Suppose 420 = b*q - 0*q. What is the remainder when 16 is divided by q?
4
Let w(l) = l**2 - 10*l - 162. Let a be w(0). Let s = -155 - a. Suppose -v = -0 - 25. What is the remainder when v is divided by s?
4
Let v(x) = 7*x**2 + 4*x + 4. Let g(k) = 10*k**2 - 12*k + 4. What is the remainder when g(4) is divided by v(-2)?
20
Let h = 32 + -21. What is the remainder when ((-357)/49)/(18/(-126)) is divided by h?
7
What is the remainder when 46 is divided by 11/(-22)*((-8)/(-2) - 74)?
11
Let b be 4/2 + 0/3. Suppose m - 29 = -5*p + 41, b*p = 3*m - 142. Let u = m + -44. What is the remainder when 15 is divided by u?
3
Suppose -458 = -3*i - 4*n + 1179, 2*i - n - 1095 = 0. Calculate the remainder when i is divided by 10.
7
Let u be (-5 - (-9)/3)*1. Let n(m) = m**3 + 3*m**2 - 2. Let f be n(u). Calculate the remainder when (1 - (-372)/(-16))/(f/(-8)) is divided by 23.
20
Suppose -2*h = 5*z - 7460, 0 = -2*z - 8*h + 5*h + 2973. What is the remainder when z is divided by 11?
9
Let r(m) = -m + 17. Let i be r(4). Let o(n) = 7*n - 74. Calculate the remainder when 200 is divided by o(i).
13
Let r be ((-92)/12 - -8)/(4/48). Suppose -5*y = 2*g - 1411, r = -g - g. What is the remainder when y is divided by 19?
17
Let o(s) = -49 - 34 + 7*s + 2*s - s. What is the remainder when o(19) is divided by 20?
9
Suppose -372 - 513 = -5*r. Let y = 203 - r. Suppose 0 = -4*q + 12 + 24. What is the remainder when y is divided by q?
8
Suppose -13*g + 7067 + 8702 = 0. What is the remainder when g is divided by 24?
13
Suppose -u - 4*m = -69, -150 = -2*u - 3*m - m. Suppose -58 - 5 = -7*q. Let h = 12 + q. Calculate the remainder when u is divided by h.
18
Let k be (-38 + 1)/((9 - 10)/(-5)). Let t = k + 237. Calculate the remainder when t is divided by (-10)/2*(-14)/5.
10
Let u(f) = 22*f**3 + 41*f**2 + 8*f + 5. Calculate the remainder when 215 is divided by u(-1).
7
Let m = 194 - 279. Calculate the remainder when (-271)/(-5) + 3 + 17/m is divided by 55.
2
Calculate the remainder when (3 + 18)/(1/9) is divided by (3 + (-5 - -10))*4.
29
Suppose 2*g - 270 = -2*p, -4*g = -2*p + 926 - 614. Calculate the remainder when 488 is divided by p.
62
Let a(i) = 2*i**3 + 56*i - 186. What is the remainder when 1145 is divided by a(4)?
149
Suppose 8*y - 6 - 522 = 0. What is the remainder when 93 is divided by y?
27
Let y be -2 + (14/(-2) - -13). Suppose y*t + 5*z - 31 = 0, -19*z + 85 = 5*t - 22*z. Calculate the remainder when 347 is divided by t.
11
Let j(i) = 5*i**2 + 25*i + 249. What is the remainder when j(-11) is divided by 20?
19
Let t = 2817 - 2496. Let k(b) = 21*b**2 + 4*b + 5. What is the remainder when t is divided by k(-2)?
78
Let o(v) = -196*v + 26. Let r be o(-1). Suppose r = 5*p - 2*p. Calculate the remainder when p is divided by 38.
36
Suppose 5*q - 36 - 404 = 0. Let u(t) be the first derivative of 2*t**2 - t + 3. What is the remainder when q is divided by u(6)?
19
Let y(l) = 7*l**3 - 46*l**2 - 21*l + 46. Calculate the remainder when 42593 is divided by y(7).
43
Let n be (140/21)/(-2 - (-208)/105). Let k = -12 - n. Suppose 0 = -7*t + k + 54. Calculate the remainder when t is divided by 29.
27
Let z be (5 + (-136)/32)*4. Calculate the remainder when ((-23544)/144)/(z/(-8)) is divided by 22.
18
Suppose 4*w + 0*w - 364 = 0. Let z(r) = r**2 + 20*r + 401. Let p be z(0). Suppose p = 23*b - 151. What is the remainder when w is divided by b?
19
Let k = 743 + -507. Let s = k + -365. Let g = 2 - s. Calculate the remainder when g is divided by 12.
11
Suppose -o + 0 = -4. Suppose 6*m - o*m - 100 = 0. What is the remainder when m is divided by (1 - 0)/((-1)/(-13))?
11
Suppose -18*v + 12*v + 1440 = 0. Suppose 0 = 30*g - 6*g - v. Calculate the remainder when 11 is divided by g.
1
Suppose -1 = 3*y - 28. Let u(t) = t**3 - 17*t**2 - 89*t + 1563. What is the remainder when u(17) is divided by y?
5
Suppose -l + 2*l - 90 = -4*i, -5*l + 2*i = -406. What is the remainder when l is divided by 77?
5
Let k(q) = q**2 + q + 1. Let t(f) = -12*f**2 - 2*f - 9. Let s(b) = -5*k(b) - t(b). Calculate the remainder when s(-3) is divided by 14.
6
Let o be (-188)/(-8)*(-1 + 11). Suppose -4*v = -16, -5*i + o = 4*v - 246. Let x = -17987 + 18006. Calculate the remainder when i is divided by x.
17
Let q be (-6)/9 + ((-790)/(-15) - -1). Let c = -31 + q. Suppose 0 = -2*n + c. What is the remainder when 97 is divided by n?
9
Suppose 3*k + 156*s - 161*s - 29 = 0, -5*s = 3*k - 79. Suppose 144 = 3*n - f + 2*f, 2*n + 5*f = 109. What is the remainder when n is divided by k?
11
Let f(k) = 108*k + 6072. Calculate the remainder when 173 is divided by f(-55).
41
Let k be (10 + 2)/3 - 0. Calculate the remainder when (18 + (6 - k))*27/12 is divided by 10.
5
Let k = 578 - 572. Suppose -2*v + 35 + 9 = -4*h, 2*h - 66 = -3*v. Calculate the remainder when (-5952)/(-155) + k/(-15)*1 is divided by v.
16
Let b be 1/(-2) - 3*(-2)/12. Suppose b - 16 = -8*v. Calculate the remainder when (267/6)/(1/v) is divided by 23.
20
Let l = 80 + -31. Let t = -16 + -52. Let r = t - -85. Calculate the remainder when l is divided by r.
15
Let n(a) = -a**3 - 55*a**2 + 2559*a - 36. Suppose p = 6*p - 295. What is the remainder when n(30) is divided by p?
57
Let r = 1867 - -327. What is the remainder when r is divided by 44?
38
Suppose 28*i - 6*i - 624 = -2*i. Calculate the remainder when 4133 is divided by i.
25
Let m be 54/3 - ((-4)/(-1) + -6). Let c be m*(0 - 0 - 2) + -1. Let z = 60 + c. What is the remainder when 94 is divided by z?
18
Suppose 6*k = 14*k + 17*k - 1100. What is the remainder when 631 is divided by k?
15
Suppose 0 = -2*i + 54. Suppose 34*w = -21*w - 7040. Calculate the remainder when i is divided by w/352 - (-81)/11.
6
Let r(s) = -s - 1. Let f be r(-15). Suppose 0 = -x + f*x + 1729. Let l = -113 - x. Calculate the remainder when 46 is divided by l.
6
Suppose z - 64 = 3*z - 4*l, 2*z + 58 = 2*l. Let g = -4076 + 4112. Let f = g + z. What is the remainder when 19 is divided by f?
9
Let k be 5/30 + (-51)/(-18). Suppose -2*h + 69 = -k*y + 8*y, 5 = -y. What is the remainder when h is divided by 33?
14
Let c(q) = 39*q + 242. Let s(r) = -r**3 + 6*r**2 + 6*r + r**3 + r**3 + r**2 - 5. Calculate the remainder when c(-4) is divided by s(-5).
11
Let v = -713 + 812. What is the remainder when v is divided by 2 + (3 + -4 - -24)?
24
Suppose p - 170 = -5*w - 17, 0 = 2*w - p - 57. Let y(k) = -k**2 - 16*k - 2. Let o be y(-9). Let r = o + w. What is the remainder when r is divided by 46?
45
Suppose 3*q = -3*x - 186, 3*q = x + 57 - 15. Let z = x - -72. What is the remainder when 41 is divided by z?
11
Suppose -2*v + 1104 = -4*p, -29*v + 24*v - 4*p + 2732 = 0. What is the remainder when v is divided by 10?
8
Suppose -2621 = -96*y + 41*y - 366. Calculate the remainder when 448 is divided by y.
38
Let v(p) = -26*p + 230. What is the remainder when v(-4) is divided by 115?
104
Suppose 15*q + 97 = 940 + 1122. What is the remainder when 455 is divided by q?
62
Suppose -75*k + 503911 = 74*k - 7308. What is the remainder when k is divided by 54?
29
Suppose 2*h + 2*h + 751 = 5*g, -4*h = 2*g - 278. What is the remainder when (-1)/(-1)*-40*g/(-98) is divided by 9?
6
Suppose 22*u + 108*u - 1300 = 0. Calculate the remainder when 96 is divided by u.
6
Let o = 303 + -318. Calculate the remainder when 21 is divided by (o - -5)/(-2 + 0).
1
Let d(x) = 90*x + 95*x + 8 - 186*x. Let m(l) = l**3 + 15*l**2 - 22*l - 17. Calcul