210, -c = 3*f - 1022. Suppose 157 - 467 = -3*g + h, -3*g + f = 5*h. Calculate the remainder when g is divided by 55.
50
Suppose 0 = -3*q + 13 - 1, 3*a + 4*q - 565 = 0. What is the remainder when a is divided by 24?
15
Suppose 25 = -3*w + 5*m, -2*w + 2 = -2*m + 12. Suppose u - 10 - 6 = w. Let k = u + 102. Calculate the remainder when k is divided by 24.
22
Let k = -157 - 498. Let q = k + 744. What is the remainder when q is divided by 27?
8
Suppose 2*q + 1052 = 2*v, 0 = 5*v + 42*q - 44*q - 2630. What is the remainder when v is divided by 250?
26
Let j(t) = -4*t**3 - 35*t**2 + 11*t + 16. Let k be j(-9). Calculate the remainder when 158 is divided by 4/k*(-1113)/42.
52
Let s be 0*((-1)/3*-3 - 0). Suppose -6*m - 10*m + 3696 = s. Calculate the remainder when m is divided by 37.
9
Let r = 4591 - 4264. What is the remainder when r is divided by 35?
12
Suppose -18*l - 13*l - 5296 = -35*l. What is the remainder when l is divided by 1319?
5
Suppose -36*w + 17*w = -35*w + 13952. What is the remainder when w is divided by 72?
8
Calculate the remainder when 303 is divided by -106*(-5)/((-195)/(-13))*(4 + -1).
91
Let c be (-6)/21 - -1*(-370)/(-70). Suppose 12*u = -c*u + 493. What is the remainder when 56 is divided by u?
27
Suppose -5*c = -19*c + 1274. Suppose -5*s - 8*s = -c. Let q = 0 + 2. What is the remainder when s is divided by q?
1
Suppose 0 = 4*q - 5*z - 2072, 4*z + 2076 = 32*q - 28*q. What is the remainder when q is divided by 12?
7
What is the remainder when 3/(-7)*-1937 + (-24)/336*-12 is divided by 32?
31
Let l(h) = -2*h**3 - 3*h**2 + 11*h + 36. What is the remainder when l(-7) is divided by 50?
48
Suppose 0 = 4*r - 15 - 13. Let z(s) = -s**3 - 16*s**2 - 20*s + 18. Let g be z(-15). Let k = -81 + g. Calculate the remainder when k is divided by r.
5
Let x(i) be the second derivative of 4*i**3/3 + 6*i**2 - 18*i. Let b(r) = -1. Let z(c) = -5*b(c) - x(c). Calculate the remainder when 73 is divided by z(-4).
23
Suppose -c + 2*o - 5 = 0, -5*o - 7 = 7*c - 3*c. Let d(r) = 16*r + 64. What is the remainder when d(c) is divided by ((-22)/8)/(2/(-8))?
5
Let n(v) = 2*v**3 - 59*v**2 - 28*v - 57. Let u be n(30). Suppose -139 = -4*o - u*j, 5*j + 17 = 42. Calculate the remainder when 75 is divided by o.
13
Let b = 374 + -853. What is the remainder when b*2*(-5)/10 is divided by 32?
31
What is the remainder when 41 is divided by -7*(-19)/(-532)*68*-1?
7
Calculate the remainder when 4839 is divided by ((-9)/(-3) - 39)/(2 + -4).
15
Suppose -2*j - 2203 - 2251 = -3*d, 4*j - 8 = 0. What is the remainder when d is divided by 78?
4
Let d(m) = -m**3 + 44*m**2 - 10*m + 10. Let b be d(44). Let r = -295 - b. Calculate the remainder when r is divided by 30.
15
Let c(f) = f**3 - 27*f**2 - 51*f - 34. Let p = -461 + 495. What is the remainder when c(29) is divided by p?
33
Suppose -144 = -5*x + 46. Let y = 41260 - 41072. Calculate the remainder when y is divided by x.
36
Suppose -128*w = -154*w + 728. Suppose -1 = -2*z + 3. Suppose -z*i + w = 5*i. Calculate the remainder when 19 is divided by i.
3
Suppose 0 = -q - 1 + 17. Suppose 1176*z + 3063 = 1272*z - 9033. Calculate the remainder when z is divided by q.
14
Let q be (-13520)/(-76) - (-4)/38. Calculate the remainder when 116 is divided by q/3 - (-4)/6.
56
Let w(l) = 2*l + 38. Let d be w(-12). Suppose -d = -g + 13. Let a = g - -6. What is the remainder when a is divided by 12?
9
Calculate the remainder when 5 + 15/((-150)/(-2290)) is divided by 88.
58
Let m(w) = -2*w**3 - 27*w**2 - 37*w - 9. Let p be m(-12). Let t = p + 37. What is the remainder when 157 is divided by t?
37
Let p(j) = j**3 + j**2 - 19*j + 14. Suppose 10*a - a - 36 = 0. Calculate the remainder when 35 is divided by p(a).
17
Let s(j) = j**2 - 4*j - 2. Let v be s(5). Suppose 0 = -36*b - 39*b. Calculate the remainder when 6 + 113 + (b - 6/v) is divided by 30.
27
Let c(m) = 3*m**2 + 5*m + 2. Calculate the remainder when -4*-2*(-22986)/(-2304) + 9/48 is divided by c(-3).
10
Let d(k) = -23*k. Suppose 711*s - 2187 = 684*s. What is the remainder when s is divided by d(-1)?
12
Let q(t) be the third derivative of t**5/60 + 2*t**4/3 - 5*t**3/6 + t**2 - 7. Calculate the remainder when q(5) is divided by 51.
49
Let s = -13675 - -13879. What is the remainder when 987 is divided by s?
171
Suppose -5*z + 3*i = -z - 645, z - 2*i = 165. What is the remainder when 2/(-8) - (-626)/8 is divided by z/6 + ((-104)/(-16))/13?
24
Let p be ((-17)/(-68))/((-1)/(-28)). Suppose 3*r = -j + 22, 6*r - p*r = 2*j - 14. What is the remainder when r is divided by 4?
2
Suppose 5*g + 6*u = 3*u + 20, 0 = -4*u. Suppose a + g*a + 1095 = 0. Calculate the remainder when a/(-12) + -1*1/4 is divided by 10.
8
Let u be 3/(((-18)/(-4))/3). Suppose -79*h + 83*h - 4 = 0, -4*h = 5*i - 19. What is the remainder when u*(-2)/4*(-111)/i is divided by 10?
7
Let z(o) = o**2 - 5*o. Let l be z(4). Let u be l - ((-14)/56 - (-638)/(-8)). What is the remainder when 20/(-20) + (u - (-2)/2) is divided by 11?
10
Let h = -190 - -220. Suppose -x = 8*m - 12*m - 61, 4*m = 20. Calculate the remainder when x is divided by h.
21
Suppose -3*z + 27 = 3*d - 18, 3*d - z - 37 = 0. Let n(t) = -4*t**3 + 5*t**3 - 7 + 0*t + 0 - 3*t**2 - 4*t. Calculate the remainder when n(5) is divided by d.
10
Let q(p) = 6*p - 3*p - 12 - 18*p + 4*p + 2*p**2. Calculate the remainder when 105 is divided by q(8).
21
Let i = 86 - -2187. Calculate the remainder when i is divided by 24.
17
Let s(p) = 3*p + 6. Let w be s(-5). Suppose r - 5*r = -5*u - 96, 5*r - 137 = 2*u. Calculate the remainder when r is divided by w/(1 + 5/(-2)).
5
Suppose v + 39 - 23 = 0. Let d = -14 - v. Suppose 5*z - 82 = z + d*n, -3*z - 5*n = -94. What is the remainder when z is divided by 7?
2
Suppose 2*q + 4*c - 2022 = 0, -5*c = -9*q + 14*q - 5080. Calculate the remainder when q is divided by 334.
19
Let l(u) = 4*u - 140. Let n be l(37). Suppose 2*b + 2*v - 24 = 0, -n*b + 4*b = 2*v - 50. Let x(q) = -7*q - 4. What is the remainder when x(-5) is divided by b?
5
Let r(g) = -2*g**3 + 5*g**2 - 11. Let k be r(4). Let v = -57 - k. What is the remainder when v is divided by 1?
0
Calculate the remainder when 558 is divided by (30/(-20) - 15)*(-3 + (2 - 1)).
30
Suppose 0 = -17*l + 18*l - 5*k - 35, -8 = -l - 4*k. Suppose 4*c = l, 0 = 9*i - 13*i - 4*c + 4040. What is the remainder when i is divided by 36?
33
Calculate the remainder when 716 is divided by (-2)/(-6) + (-128)/(-240)*245 - -7.
26
Suppose 0 = q - 2*q. Suppose q = -x + 4*x - 75. Let h = -59 + 73. Calculate the remainder when x is divided by h.
11
Let k be 6/(-2)*68/(-6). Let p = 108 + k. What is the remainder when p is divided by 39?
25
Suppose 0 = -2*w - 4*o + 558, 13*w - 9*w + 5*o - 1107 = 0. What is the remainder when 771 is divided by w?
225
Let n(r) = r**3 - r**2 - 18*r + 23. Let g be n(5). What is the remainder when g/(-22) + 91/2 is divided by 3/(-12) + 37/4?
8
Suppose -10*c + 16 = -6*c. What is the remainder when (-16)/c + 1 - -98 is divided by 50?
45
Suppose 104 = 2*x - 3*w - 5, -191 = -3*x - w. Suppose 0 = 2*d - 1 - 19. Calculate the remainder when x is divided by 0 + d + 1 - 0.
7
Let h = -91 - -123. Suppose 2*m - 10 = m. Calculate the remainder when (123/(-2))/((-5)/m) is divided by h.
27
Suppose -60*b = -57*b - 813. Suppose -g = 3*c - 113, 5*g - 51 = -2*c + 7. Calculate the remainder when b is divided by c.
37
Let d = 141 - 106. Let w = d - 39. What is the remainder when 954/(-12)*w/(-6)*-1 is divided by 6?
5
Suppose 0 = -11*x - 39 + 138. Let y = x + 12. Let m(o) = 6*o**3 - 2*o**2 + 1. What is the remainder when m(2) is divided by y?
20
Let o = 1741 + -1161. Calculate the remainder when o is divided by 37.
25
Let h(o) = -o**3 + 16*o**2 - 14*o - 7. Let x = 2109 - 2032. Calculate the remainder when x is divided by h(15).
5
Let y(r) = r**3 - 90*r**2 - 255*r - 2228. Let o = 3 - -4. Calculate the remainder when o is divided by y(93).
3
Let f be ((-36)/21)/(2*(-3)/399). Suppose -f + 100 = -y. What is the remainder when y is divided by 13?
1
Let p(r) = -43*r + 3598. Calculate the remainder when 303 is divided by p(81).
73
Let x = 343 + -328. Let h(o) = 10*o - 126. What is the remainder when 118 is divided by h(x)?
22
Suppose -878 = -3*f - 2*f + t, -3*f - t + 522 = 0. Suppose 2*k + 5*q - 7 - 106 = 0, -2*k + 119 = -q. Calculate the rem