lculate the remainder when 64498/(-51)*(24/16)/(-1) is divided by 8.
1
Suppose 5*g + 3378 - 8204 = -33*g. Calculate the remainder when 15747 is divided by g.
126
Suppose 0 = -2*s + p + 82, 3*p - 2*p + 205 = 5*s. What is the remainder when (-18)/279 - 16/(8928/(-55278)) is divided by s?
17
Calculate the remainder when 5102 is divided by (-1976)/(-14820) - 2/6*1213/(-5).
80
Suppose 2*z - a - 488 = -529, 5*z = -3*a - 130. Let j be (-86)/2 + 0/1. Let t = z - j. Calculate the remainder when t is divided by 7.
6
Suppose 0 = -18*i + 6756 + 1421 + 2605. What is the remainder when i is divided by 101?
94
What is the remainder when 5407 is divided by (3 - 0) + ((-12)/48*-108 - -2)?
31
Calculate the remainder when 857 is divided by ((15/5)/(4/(-28)))/(3/(-58)).
45
Let w(p) = -p**3 - 41*p**2 - 6. Let s be w(-41). Let i = -1 - s. Let m(u) = u**3 + 3*u**2 + 2*u + 3. What is the remainder when i is divided by m(-2)?
2
Suppose 24*y + 5*g + 1575 = 29*y, 3*g = -8*y + 2454. Calculate the remainder when y is divided by (1 - 3)*1 + 33.
30
Let w be (-30 - 84) + 1 + -4 + 1. Let y = w + 151. Let h = 62 - -6. What is the remainder when h is divided by y?
33
Suppose -1049*v = -1055*v + 5328. Calculate the remainder when v is divided by 23.
14
Let d = -32 + 51. What is the remainder when (66/(-16))/(-11) + (-522)/(-16) is divided by d?
14
What is the remainder when 460810/(-870)*6/(-7) is divided by 27?
22
Suppose -4*x - z = 485, -5*z = -4*x - 7*z - 482. Let t = x + 185. Calculate the remainder when t is divided by 45.
18
Let k(d) = -61*d + 400. Calculate the remainder when 154 is divided by k(6).
18
Let y(k) be the third derivative of -5*k**4/6 + 21*k**3 + 11*k**2 + 3. What is the remainder when y(5) is divided by 7?
5
Suppose -4*j = -4*u - 3168, 2*j = 16*u - 13*u + 1580. Let h = j + -608. What is the remainder when h is divided by 19?
17
Let s(i) = 3*i**2 - 83*i + 344. What is the remainder when 1557 is divided by s(4)?
57
Let t(x) = 2*x**2 - 29*x - 16. Let o be t(15). Calculate the remainder when 6/(-15) + ((-92)/(-5) - o) is divided by 4.
3
Let w = -3 - -5. Let k(z) = -z**3 - 12*z**2 - 8*z + 52. What is the remainder when k(-11) is divided by w - (0 - 36)/3?
5
Let h be 89658/255 + (-6)/10. What is the remainder when 13/(h/(-1314))*-3 is divided by 46?
8
Suppose 3*i = -8*i + 55. What is the remainder when i is divided by 12/(-30)*(-45)/6?
2
Let m(h) = -h**3 - 8*h**2 - 75*h - 441. Calculate the remainder when 643/5 - 2/(-5) is divided by m(-7).
24
Suppose 5*q + 3*l - 50 = 7*l, 5*q + 5*l = 50. What is the remainder when (27*3)/(-4 + -5 + q) is divided by 12?
9
Suppose 4*j + 2*z - 358 = 394, 0 = j - 4*z - 161. Calculate the remainder when j is divided by 64.
57
Let u(j) = 10*j + 6. Let s be u(11). Suppose -3*h + 2*v = -s, -8*v + 198 = 5*h - 9*v. Calculate the remainder when h is divided by 11.
7
Suppose 0 = -5*w - 2*y + 9, 3*w - y - 5 = 7. Suppose -w = -x - 0. Suppose 4*r = -390 + 406. Calculate the remainder when r is divided by x.
1
What is the remainder when 5002 is divided by (-6120)/(-44) - -2*(-5)/110?
137
Let s = -17 + 28. Let b = -202 - -45. Let n = 188 + b. Calculate the remainder when n is divided by s.
9
Let h = 27 - 10. Let b = 55 - h. Let i(z) = 2*z**2 - 367*z - 2876. What is the remainder when i(-8) is divided by b?
36
Suppose x = 2*f - 207, 4*f + 1 = -3*x + 410. Calculate the remainder when 211 is divided by f.
5
Suppose -4*g = 2*c - 824, 28*g = 32*g + 8. Calculate the remainder when c is divided by 139.
138
Suppose -126*q + 134*q - 80 = 0. Let l = 60 + -20. What is the remainder when l is divided by q?
0
Suppose -431 = -4*w + 3*r, 0 = -0*w - w + 3*r + 119. What is the remainder when w is divided by (-292)/(-8) + 2/(-4)?
32
Calculate the remainder when 1374 is divided by (-3408)/(-10) + (-98)/(-490).
10
Let c(z) = 1124*z - 12464. What is the remainder when c(12) is divided by 174?
154
Let l(r) = -1230*r - 7043. Calculate the remainder when l(-6) is divided by 90.
67
Suppose 84 = 2*a + 80. Suppose 4*f + a*l = 194, -f - l - 8 = -58. Calculate the remainder when f is divided by 15.
2
Let j = 819 + -508. Calculate the remainder when j is divided by 25.
11
Suppose -35*q = -80*q + 51615. What is the remainder when q is divided by 290?
277
Suppose -3*x + 0*x + 12234 = 3*i, -4*x + 16324 = i. Suppose 5*b + 4*t = 93 + x, -b + 2*t + 849 = 0. What is the remainder when b is divided by 70?
69
Let s be (-1*3)/(60/40)*110. Let z = s + 236. Calculate the remainder when 89 is divided by z.
9
Let u(w) = -w + 37. Suppose j = -3*q + 30, 3*j - 20 = 4*q + 44. Let a(m) = m + 24. Calculate the remainder when a(0) is divided by u(j).
11
Let n(y) = -y**3 - 12*y**2 - 25*y - 42. Let s be n(-10). Suppose 0 = 4*q - 3*t - s, -q + 27 = 6*q - 2*t. Calculate the remainder when 262 is divided by q.
2
Suppose -q - 4*v + 44 = 0, -44 = -2*q + 317*v - 314*v. What is the remainder when 127 is divided by q?
15
Suppose -b + 246 = 4*b + 2*a, -2*a = -b + 54. Let n = 1189 + -940. Calculate the remainder when n is divided by b.
49
Calculate the remainder when (-162745)/(-726) - (-3)/(-18) is divided by 11.
4
Let q = 18 - 13. Suppose -31 = -2*b + q. Suppose -b = -2*p + 3*h + 3, -5 = -5*h. Calculate the remainder when 81 is divided by p.
9
Suppose -26 + 74 = 16*g. Suppose -4*i - g*y = -28, -28*y + 24*y = -16. What is the remainder when 38 is divided by i?
2
Suppose 7*y - 71 + 95 = 556. What is the remainder when 294 is divided by y?
66
Suppose -2*l = -w + 2*l + 332, 3*w - 2*l = 1026. Let g = -334 + w. Calculate the remainder when 89 is divided by g.
9
Suppose 0 = -a + 4*j + 200, -3*j - 21 - 3 = 0. What is the remainder when 3029 is divided by a?
5
Calculate the remainder when 643 is divided by -2 - (-605)/20 - (-2)/(-8).
27
Suppose 2665 - 407 = 55*p - 382. What is the remainder when p is divided by 8?
0
Calculate the remainder when 971 - ((19 - 36) + -3) is divided by 8.
7
Suppose -5*y + 773 = -d, 4*y - 7*d - 625 = -4*d. Calculate the remainder when 938 is divided by y.
14
Suppose o - 17 = -k, -8*o = -3*o - 15. Let l = -435 + 458. Suppose 31*m - 648 = l*m. What is the remainder when m is divided by k?
11
Let r = -264 - -516. Suppose -5*n - 2*w + r = 0, -5 = w - 6*w. Suppose -n - 40 = -3*o. Calculate the remainder when 147 is divided by o.
27
Let o(l) = 8*l**3 + 2*l**2 - 17*l + 265. What is the remainder when o(8) is divided by 132?
129
Suppose 7*r = -1919 + 148. Let i be (-3 - 0) + r/(-11). What is the remainder when (2 + 3/(-2))*0 + i is divided by 8?
4
Suppose -75 = -2*g - t, 4*g + 5*t - 43 = 92. Let p = -19 + g. Suppose -2*y = -4*d - 92, -2*y + 0*y + 88 = -3*d. What is the remainder when y is divided by p?
17
Let q = -51 - -46. Let k(p) = 5*p**2 + 6*p + 5. Let c be k(q). What is the remainder when 3725/c + ((-1)/4 - -1) is divided by 14?
10
Let l(r) be the second derivative of r**5/20 + 7*r**4/6 - 5*r**3/2 + 14*r**2 + 37*r. What is the remainder when 79 is divided by l(-15)?
23
Let o be 2 - (-112)/11 - 8/44. Suppose o = 5*a + 2. What is the remainder when a + (-43 + 0)*-3 is divided by 34?
29
Let t = 2342 - 2283. Calculate the remainder when 166 is divided by t.
48
Suppose 0*o = 4*o - 16. Let r be (-47649)/42 + 1/2. What is the remainder when 21 is divided by o/(-10) + r/(-135)?
5
Suppose 0 = -11*n + 50*n + 234. Calculate the remainder when (-15)/n - (-27)/6 is divided by 6.
1
Suppose 30*s - 1202 + 302 = 0. Let i = -13 + 26. What is the remainder when s is divided by i?
4
Suppose -78*h = -73*h - 190. Let r(u) = 22*u + 1. Let l be r(-1). Calculate the remainder when h is divided by 3 + -1 + 0 - l.
15
Suppose -259 = -8*p - 227. Let x(s) = 83*s**3 - s**2 - s + 1. What is the remainder when x(1) is divided by p - (-1 + -8 + -15)?
26
Let r(f) = 13*f - 117. Let y be r(12). Suppose y = -k + 62. What is the remainder when 104 is divided by k?
12
Suppose -4*s + 112 = -60. Let p = 52 + -41. Suppose -15 = -p*i + 10*i. What is the remainder when s is divided by i?
13
Suppose 3*v - 1 = 4*n, -2*v + 2 = -3*n - v. What is the remainder when 40 is divided by 15 - (2 + -10 - -5)*n?
4
Let a(w) = -35*w + 1. Let d(h) = -72*h - 2854. What is the remainder when a(-2) is divided by d(-40)?
19
Suppose 4 = 2*q, -161*u + 3*q = -158*u - 1788. Calculate the remainder when u is divided by 295.
8
Let b(g) = -g**3 + 17*g**2 -