t is the remainder when ((-54)/j)/(3/(-12)) is divided by 7?
5
Let v(u) = 85 - 34*u + 24*u - 7. Calculate the remainder when v(-8) is divided by 40.
38
Let c = -6 + 18. What is the remainder when (3/10*-5)/(4/((-304)/2)) is divided by c?
9
Let y = 17724 + -17718. Let s(n) = -n + 2. Let d be s(2). Suppose 0 = 3*w - d*w - 66. What is the remainder when w is divided by y?
4
Let z = 0 - -2. Suppose -1508*q + 1514*q = 12. What is the remainder when q is divided by z?
0
Suppose 224*t - 227*t + 3*s + 10704 = 0, -2*s = 5*t - 17826. Calculate the remainder when t is divided by 17.
13
Let a(f) = f**2 + 4*f - 331. Let q be a(0). Let t = q - -416. Let h(d) = 7*d + 2. What is the remainder when t is divided by h(6)?
41
Let c = -6615 - -6969. What is the remainder when c is divided by 50?
4
Let y be (3*8/(-72))/((-2)/1128). Suppose 12*q + 4*o + 38 = 13*q, -2*o = 4*q - y. Calculate the remainder when q is divided by 18.
10
Let s(i) = i**3 - i**2 - 11*i - 49. Let a be s(-4). Let p = 88 + a. What is the remainder when 6 is divided by p?
0
Calculate the remainder when (-3 - 3)*(-15057)/126 is divided by 224.
45
Let a = -1395 + 3828. What is the remainder when a is divided by 39?
15
Let o = 132 + -89. Let g(p) = -21*p**3 + 1215*p**2 + 177*p - 52. Calculate the remainder when g(58) is divided by o.
36
Let v(c) be the first derivative of -3*c**4/4 + 6*c**2 + 6*c + 80. Calculate the remainder when v(-3) is divided by 18.
15
Suppose 5*n + 5*c - 2135 = 0, -6*n + 2*n + 1704 = 3*c. Calculate the remainder when n is divided by 58.
17
Suppose 4*g - 5*l = 61, -4*l + 9*l + 70 = 5*g. Suppose g*j + 28 + 17 = 0. What is the remainder when (-346)/j - -9*(-3)/135 is divided by 8?
5
Let d = -7672 + 8171. What is the remainder when d is divided by 154?
37
Let m(a) = -a**3 + 45*a**2 - 412*a + 23. Calculate the remainder when m(29) is divided by 128.
123
Suppose 4756 = 6*v + 20*v - 3460. Calculate the remainder when v is divided by 147.
22
Let x(o) = -4*o**2 - 9*o - 76. Let h be x(-11). Let k = h - -528. What is the remainder when k is divided by 12?
7
Suppose -207*y + 14573 = -479300 - 360209. Calculate the remainder when y is divided by 59.
55
Suppose 7 = -k - 3*z + 58, 5*z = 25. Let v = k + 11. What is the remainder when v is divided by 18?
11
Let l(u) = u + 59. Suppose -15*b + 23*b - 656 = 0. What is the remainder when b is divided by l(-31)?
26
Suppose -2*d - 13234 = -4*p, 2*p + 3*p + 8*d - 16574 = 0. Calculate the remainder when p is divided by 368.
366
Let m be 8 + -5 - (-46 + -3). Let x(a) = 30*a**3 + 23*a**3 - 9*a**2 - m*a**3 + 13. What is the remainder when x(9) is divided by 2?
1
Suppose -13751 = -80*r - 12071. Let z = 641 + -181. Calculate the remainder when z is divided by r.
19
Let v(x) = 79*x - 2367. What is the remainder when 181 is divided by v(31)?
17
Suppose 0*u = -u + 84. Let v = 9 + u. What is the remainder when v is divided by (-35)/(-245) - (-669)/21?
29
Let v(j) = -1556*j + 17. Calculate the remainder when v(-1) is divided by 21.
19
Suppose o - 47 = -4*h, 15 + 35 = 5*h + 3*o. Suppose -4*l + 15 = 5*d, 2*l + 0*l + 38 = 4*d. Suppose z - 30 = d. What is the remainder when z is divided by h?
11
Suppose -5*s + 3*d + 1 = 0, 0*d = -3*s - 3*d + 15. Let p = 1 + -5. What is the remainder when 68 is divided by (17 - s/(-2)) + p?
12
Let m(l) = 9*l + 6 + 33*l + 9*l - 44. Calculate the remainder when m(7) is divided by 17.
13
Let y be -2 + (5 + -2 - -30). Suppose -5*j + 0*d + 4*d = -y, -2*j = -2*d - 14. Calculate the remainder when (0 + (-19 - -3))*(-3)/j is divided by 10.
6
Suppose 567*p + 549 = 576*p. Calculate the remainder when p is divided by 54.
7
Suppose -20 = -4*w + 2*w. Suppose 0 = w*t - 9*t. Suppose t = 8*r - 2*r - 102. Calculate the remainder when r is divided by 5.
2
What is the remainder when 139 is divided by 1092/10 + 18/10 + -85 + 83?
30
Let j = -5009 + 5394. Calculate the remainder when j is divided by 47.
9
Let g = 50 + -58. Suppose -210 = -9*d - 12*d. Calculate the remainder when (g/(-10))/(12/1170) is divided by d.
8
Let l be ((-10)/30)/((-1)/75). Let i = -22 + l. Suppose -4*s = d - 7*s - 26, 2*d - 43 = i*s. What is the remainder when d is divided by 6?
5
Suppose -26*m = -54*m + 29*m - 221. What is the remainder when m is divided by 88?
45
Suppose 2*w + 4*o + 8 = 0, 2*o = 4*w + 13 - 27. Suppose 0 = 9*z + w*z - 1232. Let d(g) = -5*g + 4. What is the remainder when z is divided by d(-5)?
25
Suppose -3*t = 4*c - t - 2, -c = -4*t - 5. Let z(d) = -d - 8*d**2 + 20*d**2 + 2*d**2 + 1. Calculate the remainder when 35 is divided by z(c).
7
Let y(l) = 2*l - 13. Let j be y(8). Suppose -j*p + 31 = -3*f - 110, -3*p - 5*f = -157. Let m = p - 46. What is the remainder when 3 is divided by m?
0
Suppose -145*u + 667 = -121*u - 893. Calculate the remainder when 1331 is divided by u.
31
Let x(z) = -z**2 - 15*z + 1. Let r be x(-29). Calculate the remainder when ((-123)/(-12))/((-2)/(-8)) is divided by ((-2)/(-12)*-4)/(18/r).
11
Suppose -22*r + 365 + 757 = 0. Suppose r = f - 3*u, -16*u + 14*u - 49 = -f. Calculate the remainder when 583 is divided by f.
43
Suppose 0 = 3*q + 2*d + 3*d + 464, -2*d + 288 = -2*q. Let i = q - -178. What is the remainder when 108 is divided by i?
18
Suppose 126*p - 122*p + 5*s = 1765, -s = -4*p + 1759. What is the remainder when p is divided by 72?
8
Let f(m) = 512*m - 1865. What is the remainder when f(10) is divided by 361?
6
Let u(m) be the third derivative of -m**4/6 + 37*m**3/6 - m**2 + 15. Calculate the remainder when 9 is divided by u(9).
0
Suppose -212*o + 440 + 2415 = -961. What is the remainder when 143 is divided by o?
17
Let i(x) = -x**3 + 6*x**2 + 2*x - 1. Let a(v) = 2*v + 23. Let t(q) = 2*q - 11. Let z be t(2). Calculate the remainder when i(5) is divided by a(z).
7
Let d = 20 - 11. Let p = -11 + 65. Suppose 2*r - p = -50. What is the remainder when d is divided by r?
1
Suppose -407*u + 203*u = -218*u + 42406. Calculate the remainder when u is divided by 11.
4
Suppose -4*y + 14 = 2*c - 10, 0 = -y - 3*c + 11. Suppose y*v + 16 = 7*v. Suppose -4*u - 10 = u, 4*s = 2*u + 56. Calculate the remainder when s is divided by v.
5
Let l = 176 - 167. What is the remainder when 88 is divided by (-184)/2*l/(-18)?
42
Let o(d) = -35*d - 4453. What is the remainder when o(-158) is divided by 118?
15
Let k(s) = -14*s - 370. What is the remainder when k(-32) is divided by (-856)/(-12) - 4/(-6)?
6
Suppose -4*g + 5*y = -4287, -279 = 5*y - 304. Calculate the remainder when g is divided by 12.
10
Let y(p) = 40*p + 2126. Let l(o) = -o + 10. Let t be l(8). Suppose -f + t = 1. Calculate the remainder when y(-53) is divided by f.
0
Suppose 0 = -3*b + 5 - 26, -l = 3*b - 347. Calculate the remainder when l is divided by 129.
110
Let f(o) = -8*o**2 + 6*o + 8681. Calculate the remainder when f(0) is divided by 26.
23
Suppose -w = -5*n - 291, -2*w - 3*w = 5*n - 1635. What is the remainder when w is divided by 86?
63
Let w = 5476 - 3966. Calculate the remainder when w is divided by 190.
180
Suppose -399 - 1314 = -113*g - 131. Let h(z) = z - 4. What is the remainder when g is divided by h(5)?
0
Suppose s - 450*q - 14849 = -452*q, -4*s + 4*q = -59384. Calculate the remainder when s is divided by 158.
153
Let q(w) = 707*w + 722. Calculate the remainder when 4/(-8) - (-354)/4 is divided by q(-1).
13
Let r(n) = -n**3 + n. Let p be r(0). Suppose 0 = 2*q + t - 17 - 29, p = -3*q - 5*t + 62. Let f = -15344 + 15353. Calculate the remainder when q is divided by f.
6
Let p be (9 - 8)/(3/594). Suppose -5*i + p = -157. Suppose a + 4*a - 95 = 0. What is the remainder when i is divided by a?
14
Let q = 687 - 876. What is the remainder when 62 is divided by 8/((-120)/q) + (-14)/(-35)?
10
Suppose -7887*s + 7892*s = -o + 200, s = 5*o + 14. Let l = 28 - 13. Calculate the remainder when s is divided by l.
9
Suppose 193*p = 160*p + 39831. Calculate the remainder when p is divided by 393.
28
Suppose -3*g + 9*d = 4*d - 33, -3*d = -4*g + 33. Suppose 4*q = -2*p + 210, -3*p + g*q - q = -326. Calculate the remainder when p is divided by 50.
7
Let x(f) = -17*f - 4. Let w be x(-9). Let b = 330 - w. Let a = -83 + b. Calculate the remainder when a is divided by 34.
30
What is the remainder when (200/1000)/((-2)/(-1310)) is divided by 119?
12
Let u(b) = b**2 - 47*b + 746. What is the remainder w