 54*g - 10236 + 742 = 1576. What is the remainder when 821 is divided by g?
1
Suppose 1371 = -18*h + 20*h + 5*u, -5*h + 3384 = -2*u. Calculate the remainder when h is divided by 85.
83
Calculate the remainder when 2298 - -8*95/(-40) is divided by 12.
11
Suppose -11*a + 154 = -9*a. Let u = -2273 + 2279. Calculate the remainder when a is divided by u.
5
Suppose 3*f + 257 = 5*z + f, 3*z - 3*f - 147 = 0. What is the remainder when (10 + 891/(-88))*-8*(-1320)/(-6) is divided by z?
8
Suppose 428 = 6*n - 34. Calculate the remainder when (-1)/(2*2/(-292)) is divided by (-211)/(-11) + (-14)/n.
16
Let o(b) = -b**3 - b**2 + b - 3. Suppose 294 = l + 302. What is the remainder when o(-4) is divided by (-6)/l*(-80)/(-15)?
1
Let w(g) = 124*g + 1626. Calculate the remainder when 877 is divided by w(-13).
9
Let v be 5 + (-4 - -1) - 2. Suppose -2*o + 26 - 8 = v. Suppose -21 = 6*g - o*g. What is the remainder when 26 is divided by g?
5
Let z = -1886 - -2173. What is the remainder when z is divided by 112?
63
Let p be 474/5 + (-68)/85. Calculate the remainder when 144 is divided by (-230)/92 - p/(-4).
18
Let n(h) = -102*h**2 + 1045*h - 6. Calculate the remainder when 973 is divided by n(10).
241
Suppose -30*a + 25173 + 38997 = 0. Calculate the remainder when a is divided by 2124.
15
What is the remainder when 615 is divided by 14628/120 + 6/60?
5
Let q = -639 - -559. What is the remainder when 115 is divided by (300/q)/((-6)/40)?
15
Suppose -5*t + 4*a = -18, -2 = -3*t + 2*a - 4*a. Suppose -t*l + 270 = 7*l. What is the remainder when 119 is divided by l?
29
Let d = 108 - 102. What is the remainder when -4 + d/(-39) + (-7728)/(-39) is divided by 30?
14
Suppose -7*k + m - 8 = -8*k, -m = -5*k + 64. Calculate the remainder when 751 is divided by k.
7
Let h be (-2 - (-26)/10) + (-567)/45. Let w(g) = -3*g - 4. Let s(r) = r**3 + 6*r**2 - 10*r - 10. What is the remainder when w(h) is divided by s(-7)?
10
What is the remainder when 466 is divided by 52 + (21 + -13 + -6)*7/(-2)?
16
Let b(d) = -2*d**3 - 2*d**2 - 31*d + 17. Calculate the remainder when b(-8) is divided by 296.
273
What is the remainder when 362 is divided by 18624/216 - 4/18 - 6?
42
Let v(d) = d**3 - 10*d**2 + 10*d - 9. Let b be v(9). Let h be -3 + 5 + -1 + b. Calculate the remainder when h/2 - 231/(-14) is divided by 3.
2
Calculate the remainder when 529 is divided by (1333/(-341))/((-5)/55).
13
Suppose -147 = 5*y - 1192. Let v = -116 + y. What is the remainder when v is divided by 8?
5
Let h = -3 + 20. Suppose -4*m + 2*g = g + 28, 16 = -2*m + g. Calculate the remainder when (2 + 1 - (m - 23)) + 0 is divided by h.
15
Calculate the remainder when 4571 is divided by ((-136)/(-48))/(-17) - 219/(-18).
11
Let k = -947 - -951. Suppose k*y + 3*m - 142 = 0, -2*y - 156*m + 154*m = -70. What is the remainder when y is divided by (-11 - 0)/(1*-1)?
4
Suppose 426*f = 401*f + 4025. Calculate the remainder when f is divided by 23.
0
Let h = 31 - -39. Suppose -3*y + h + 17 = 0. What is the remainder when (-14*1 + 1)*(26 - y) is divided by 14?
11
Suppose 119189 = 51*f - 81868 + 64581. Calculate the remainder when f is divided by 56.
44
Suppose 4*v = -12, -327*v + 323*v = 2*g - 8. What is the remainder when 890 is divided by g?
0
Suppose 0 = -4*u - 16, 4*u + 154 = -i + 4*i. Let t = i - 37. Suppose -145 = -t*s + 8. Calculate the remainder when 48 is divided by s.
14
Let k(r) = r**3 - r**2 + 2*r. Let z = 30 - 18. Suppose -9*p + z*p - 6 = 0. What is the remainder when 21 is divided by k(p)?
5
Calculate the remainder when 1874 is divided by 18 + 0 - -14*85/(-119).
2
Let b = 1555 + -1439. Calculate the remainder when b is divided by 14.
4
Let z(c) = -c. Suppose 4*q = v + 4*v - 49, 3*q + 23 = v. Calculate the remainder when 3*(-8)/((-168)/203) is divided by z(q).
5
Let w = -6474 - -7176. Calculate the remainder when w is divided by 32.
30
Let a(v) = -v**3 - 6*v**2 + 4*v + 2. Let d be a(-5). Let h = d - -94. What is the remainder when h is divided by 0 + 18 + -44 + 52?
25
Suppose -3*p - 11*p + 4507 = -60145. What is the remainder when p is divided by 31?
30
Let w = 314 + -238. Let n = 81 - -58. Let f = n - w. What is the remainder when f is divided by 16?
15
Let j = -94 - -104. Let f(b) = -11*b - 10. Let h(c) = 10*c + 10. Let r(l) = -6*f(l) - 7*h(l). Calculate the remainder when r(-7) is divided by j.
8
Let o = -6 + 21. Let p(z) = z**2 - 2*z - 1. Let a be p(3). Suppose -2*n - a*s + 20 = 0, -3*n + 9 + 5 = -s. Calculate the remainder when o is divided by n.
3
Let d be 0 - (5 + (-6 - 72)). Let l = 99 - d. Calculate the remainder when l is divided by 8.
2
Calculate the remainder when 263 is divided by (-152)/32 + 4 - (-102)/8.
11
Suppose 23 - 77 = -2*y. Let c = 5 - 1. Suppose 0 = 2*b - c*b + 30. What is the remainder when y is divided by b?
12
Suppose 5*s - 12*s = -553. What is the remainder when s is divided by (-7 + (-15)/(-2))*2*6?
1
Let v be 0*((-36)/8 - -4). Suppose 2*i + 3*x - 24 = -3*i, -5*x - 10 = v. Suppose 7*a - 2*a = 45. Calculate the remainder when a is divided by i.
3
Let t = -6878 - -7530. Calculate the remainder when t is divided by 82.
78
Let p(q) = -q**3 - 17*q**2 + 123*q - 8. What is the remainder when p(5) is divided by 7?
1
Suppose -q + 9 = -3*a - 8, 4*a = -4*q - 12. Let b(u) = 29*u**3 - 2*u**2 - 7*u + 11. Calculate the remainder when b(q) is divided by 45.
41
Suppose 6079*j - 6065*j = 280. Suppose 0 = n - 17 + 4. What is the remainder when j is divided by n?
7
Suppose 16 = 12*b - 10*b. What is the remainder when 1266 is divided by b?
2
Let k(t) = t**2 - 10774*t - 172478. Suppose 0 = -4*y + 4*s + 244, 0 = -6*y + 2*y - s + 269. Calculate the remainder when k(-16) is divided by y.
30
What is the remainder when 17862120/12963 - 4/(-58) is divided by 20?
18
Suppose -4*g + 20 = 2*k, -k - k + 17 = g. Calculate the remainder when ((-13)/(546/12))/(80/(-13720)) is divided by k.
1
Let b(r) = 3*r + 11. Let v be b(-2). Let a(m) = m**3 - 4*m**2 - 6*m + 15. What is the remainder when 128 is divided by a(v)?
8
Let n(z) = -3*z - 42. Let y be n(-17). Let a = y - -67. Suppose -3*w + 0*v = -4*v - a, 0 = -5*w + v + 121. What is the remainder when 94 is divided by w?
22
What is the remainder when ((-2)/4 - (-114)/76)/(4/1540) is divided by 35?
0
Suppose -19 = -n + 877. Let j = 1166 - n. What is the remainder when j is divided by 13?
10
Let c(p) = 3*p**2 + 31*p - 29. Let l(s) = 3*s**2 + 32*s - 29. Let g(u) = 4*c(u) - 3*l(u). What is the remainder when 70 is divided by g(-11)?
18
Suppose 27 = 3*p - 3. Suppose 0*f + p = f. Calculate the remainder when -1 - 8/(-4)*f is divided by 11.
8
Let l(p) = -27*p + 98 + 78*p - 24*p - 20*p. What is the remainder when 823 is divided by l(-12)?
11
Calculate the remainder when ((-30)/21)/(-7 + (-23504)/(-3360)) is divided by 295.
5
Suppose 61*x = 56*x + f + 4496, -4490 = -5*x - 5*f. What is the remainder when 3622 is divided by x?
26
Let r = -3537 - -10897. What is the remainder when r is divided by 6?
4
Suppose -n + 117 = w - 44, -4*n - 2*w = -650. What is the remainder when n is divided by 35?
24
Let d(l) be the third derivative of l**6/120 + 3*l**5/20 + 5*l**4/24 - 4*l**3/3 + 4*l**2. What is the remainder when 38220/520 + (-2)/4 is divided by d(-8)?
9
Suppose 0 = 11*u + 27*u + 3*u - 1271. Calculate the remainder when 246 is divided by u.
29
Let n = 1 + 11. What is the remainder when 74 is divided by 12/(-9)*(-225)/n?
24
What is the remainder when (-21)/(378/90) + 775 is divided by 18?
14
Let l(g) = -g**2 + 10*g - 15. Let c be l(6). Suppose 6*z - 7*z = -c. Calculate the remainder when z is divided by (1 + -22)/(-3)*42/49.
3
Suppose 66*k - 5065 = 71399 - 6570. What is the remainder when k is divided by 212?
211
Let o(r) = -r**2 + 6*r + 7. Let p be o(-4). Calculate the remainder when (-2634)/p + 18/99 is divided by 22.
14
Let u(n) = -48*n - 141. Let m be u(-3). Suppose 3*s + 2 = -x + 19, -5*x + m*s = -103. What is the remainder when 158 is divided by x?
18
Let g(q) = -8*q**2 - 19*q - 5*q**3 + 17*q**3 - 11*q**3 + 22. Calculate the remainder when 125 is divided by g(10).
29
Let h(i) = -2*i**3 + 5*i**2 + 77*i - 30. Calculate the remainder when 2991 is divided by h(7).
67
Let d(z) = -8*z + 2. Let g be d(-1). Suppose -4*c + 3*y + 10 = -0*y, 0 = 5*y - g. Calculate the remainder when (460/(-60))/(-1 + (-2)/