6. What is the remainder when c is divided by 51?
46
Suppose -5*z + 18*z = 39. Suppose -17*g + 15*g - 5*l = -73, 3*g - 132 = -z*l. What is the remainder when 341 is divided by g?
47
Let p = -71 + 163. Suppose -3*t + 4*r + 75 = 0, -36 = 4*t - 2*t - 17*r. What is the remainder when p is divided by t?
26
What is the remainder when 6*3/(-12) + 1623*14/28 is divided by 28?
26
Suppose -5*h = -3*h - 2. Let g(y) = 70*y**2 - 2*y + 1. Let n(l) = -7*l - 63. What is the remainder when g(h) is divided by n(-14)?
34
Suppose -d - 9*x + 7*x + 13 = 0, 92 = 4*d - 2*x. Suppose -5*q + 3*k = -d - 209, -138 = -3*q + 5*k. What is the remainder when 273 is divided by q?
43
Suppose -2*d = 5*n - 20, -4*d - 4*n = -5*n - 18. Suppose 0 = d*a + 10, 1367 = j + 2*j - 4*a. What is the remainder when j is divided by 12?
9
Let t(k) = -6*k**2 - 295*k - 521. What is the remainder when 1097 is divided by t(-46)?
38
Let z(a) = -8*a - 5. Let j(v) = -39*v - 582. Calculate the remainder when j(-19) is divided by z(-4).
24
Let z(q) = q**3 - 3*q**2 - 5*q - 5. Suppose -30 = -2*x + 5*k, -k - 25 = -3*x - 6. Let h = -603018 + 603030. What is the remainder when z(x) is divided by h?
8
Let l = -991 + 2393. Calculate the remainder when l is divided by 61.
60
Suppose 0 = -h + 2*l - 4, 5*h = -2*l + 40. What is the remainder when h + -1 - 3*664/(-24) is divided by 31?
26
Let p(q) = 260*q - 1979. What is the remainder when 1209 is divided by p(8)?
98
Suppose 0 = -102*r + 104*r + 12, 0 = -5*n - 2*r + 3133. What is the remainder when n is divided by 175?
104
Let d = 135 - 68. Suppose 182 = 2*h - 2*g, 4*h + 3*g - 262 = d. What is the remainder when h is divided by 30?
26
Suppose -2*d - 5*f = -82, 0*d + 2*f - 164 = -4*d. Let i(j) = -2*j**3 + 138*j**2 - 641*j + 142. Calculate the remainder when i(64) is divided by d.
37
What is the remainder when 76 - ((22 - 8) + -5) is divided by 32?
3
Suppose -3*j + 2*o - 4 = 11, -3*o - 10 = 2*j. Let b(v) = -5*v - 2. Calculate the remainder when b(j) is divided by 4.
3
Let r = 4775 + -3893. Calculate the remainder when 1776 is divided by r.
12
Suppose -2*p + 4*f = 3 - 11, p = 5*f + 10. Suppose -10*v + 6*v + 536 = p. What is the remainder when v is divided by 36?
26
Let a(i) = -568*i - 65252. Calculate the remainder when 8522/14 - 6/(-21) is divided by a(-115).
65
Let a(d) = 18*d**2 + 309*d + 57. Suppose 5*v + 4*o - 18 = 0, 5*v - 2*v - 9 = -3*o. What is the remainder when v is divided by a(-17)?
0
Let m(a) = 3*a + 40. Let n be m(-13). Let i(r) = 32*r**2 + 1. Suppose -12 = -0*k - k. What is the remainder when i(n) is divided by k?
9
Calculate the remainder when (4 - 39 - -33)/((-3)/((-17007)/(-2))) is divided by 23.
11
Suppose 4*m + 93 = o, -57*o + 105 = -56*o - 2*m. Suppose -2*g + 30 = -g. What is the remainder when o is divided by g?
27
Let b be -18*((-14)/3 - -4). Let j(x) = x**3 - 11*x**2 - 11*x + 2. What is the remainder when j(b) is divided by 8?
6
Let k(y) = -y**2 + 4*y + 19. Let w be k(-3). Let q(u) = 9*u**2 + 10*u + 20. What is the remainder when 64 is divided by q(w)?
28
Let i be -5*(-8)/20 - -133. Suppose -i = -7*z - 86. Calculate the remainder when 144 is divided by z.
4
Let l = -257 + 262. Suppose -l*i - 14*i = -190. Suppose -5*t + 33 = -22. What is the remainder when t is divided by i?
1
Let l(b) = -594*b**3 - b**2 + 8*b + 30. What is the remainder when l(-3) is divided by 76?
75
Suppose -9*t = 16*t - 50. Calculate the remainder when 12 is divided by ((5 - t) + -17)*2/(-4).
5
Let d(a) = a**2 - 4*a + 129. Let j be d(0). Let r = -122 + j. Let z = 10 - r. What is the remainder when z is divided by 3?
0
What is the remainder when 863 is divided by ((-107910)/(-5445))/((-4)/(-22))?
100
Let u(l) = 309*l + 632. Let w(f) = f**2 + 3*f + 4. Suppose -5*b = 3*a - b + 25, 5*a = b - 11. Calculate the remainder when u(-2) is divided by w(a).
2
Suppose 2*q + 1 = 89. Let w be q/(-33) - (-13)/3. Suppose 5*o + 3*y = 126, -w*y + 34 = o + 2*y. Calculate the remainder when o is divided by 7.
3
Suppose -t - 4*v + v = -122, 0 = 4*t - 3*v - 518. Suppose 0 = -134*p + t*p + 306. What is the remainder when p is divided by (-80)/(-6) + 2/3?
9
Let u(i) = 3*i - 6. Calculate the remainder when u(8) is divided by (-44)/(-8)*2 - (15 - 19).
3
Suppose 217*v + 179*v = -23*v + 694702. Calculate the remainder when v is divided by 1646.
12
Suppose i + 2*v = 328, -314 = -i + 11*v - 6*v. Suppose 3*o = -4*w + 343, 2*o + 232 = 2*w + 78. Calculate the remainder when i is divided by w.
78
Calculate the remainder when 68 is divided by (4*-4)/(2/(-1))*(-5)/(-10).
0
Let t(b) = -b**2 - 24*b - 11. Let i be t(-3). Let q be -5*((-28)/(-50))/((-2)/(-30)). Let w = i - q. Calculate the remainder when w is divided by 19.
18
Suppose -3*t - 5*k = -65, 7*t + 4*k = 2*t + 104. What is the remainder when 127 is divided by t/(-24) - (-526)/12?
41
Let l be 0 - -1 - (0 - -8). Suppose t + z = 24, 21*t + 44 = 23*t + z. Let c = l + t. Calculate the remainder when c is divided by 8.
5
Let j = 476 + -120. Suppose l - 8*z + 4*z - 72 = 0, j = 4*l + z. What is the remainder when l is divided by 45?
43
Let w(o) = 9*o - 105. Let k be w(12). Suppose -k*t + 3*f = -249, 3*f - 2*f + 239 = 3*t. Calculate the remainder when t is divided by 10.
8
Let v(f) = f + 18. Let p = 125 - 77. What is the remainder when p is divided by v(-1)?
14
Suppose 3*j - 234 = 5*u, -3*u + 175 = -2*j + 4*j. Calculate the remainder when 163 is divided by j.
80
Suppose -2729 + 389 = 59*d - 215*d. What is the remainder when 749 is divided by d?
14
Let l(q) = 9*q**2 - 35*q + 22. Calculate the remainder when l(5) is divided by 34.
4
Let q = -7 + 20. Let c(o) be the second derivative of -o**4/12 - 8*o**3/3 - 25*o**2/2 - 18*o. What is the remainder when c(-9) is divided by q?
12
What is the remainder when (-16322)/(-8) - (315/(-84) - -5) is divided by 18?
5
Let s(i) = 5*i**2 - 6*i + 5. Suppose -13 + 1 = -3*a. Calculate the remainder when s(a) is divided by 32.
29
Suppose 0 = 31*w - 1385 - 2645. Let o be (-1)/(2/2) - 87. Let u = o + w. Calculate the remainder when u is divided by 23.
19
Let b(k) = 6*k**2 + 23*k + 39. Suppose 71 + 173 = 4*j. What is the remainder when b(-8) is divided by j?
56
Suppose 0 = c - 2*c. Suppose -8*l - 15 = -159. What is the remainder when 34 - 4/(-8)*c is divided by l?
16
Suppose 4*b + 3*i = -1, 5*i = 3*b + i - 18. Let u(f) = 36*f + 1. Let r be u(b). Suppose 0 = -67*n + r*n - 204. Calculate the remainder when n is divided by 18.
16
Let n(c) = -c**2 - c + 174. What is the remainder when 430 is divided by n(12)?
16
What is the remainder when 684 is divided by 25016/318 - 1/(-3)?
52
Let z(i) = 2*i**2 - 60*i + 325. What is the remainder when 2622 is divided by z(5)?
72
Let b = 106 + -48. Suppose -3*f + 26 + b = 0. Suppose f = 7*k - 3*k. What is the remainder when 60 is divided by k?
4
Suppose 3*v - 933 = 3*l, 34*v - 29*v = -3*l + 1603. Let o(f) = 25*f + 3. Calculate the remainder when v is divided by o(2).
52
Let b = 14098 - 13539. What is the remainder when b is divided by 299?
260
Suppose 0 = -120*v - 139 + 1118 + 1421. Calculate the remainder when 674 is divided by v.
14
Suppose 8*j - 3*j = j. Suppose j = m - 6*k + 3*k - 21, 0 = -4*m - 4*k + 132. Calculate the remainder when 95 is divided by m.
5
Suppose 2*v - 125*i + 130*i = 722, 0 = -v + 5*i + 301. Calculate the remainder when 354 is divided by v.
13
Suppose -4*u + 190 = -6*j + 4*j, -4*u = 2*j - 202. Suppose 5*g = 5*a + 750, 5*a = -60*g + 55*g + 700. What is the remainder when g is divided by u?
47
Let t(k) = -2*k**3 + 2*k**2 + 3*k - 12. Suppose -1133 = -31*i - 420. Calculate the remainder when t(-5) is divided by i.
20
Let v be 9/(-21) + (772/28)/(-1). Let p = -12 + 12. Let k = p - v. Calculate the remainder when k is divided by 5.
3
Suppose 167 + 166 = 812*f - 809*f. What is the remainder when 149 is divided by f?
38
Suppose 0 = -0*t - 4*t - 5*u + 25, -3*u = -3. Suppose -5*m + 3*o = 8 - 228, -2*o = t*m - 245. Calculate the remainder when m is divided by 12.
11
Suppose 0 = -47*h + 26*h + 357. Calculate the remainder when ((-458)/(-5))/(3/15) is divided by h.
16
Let b = -50 - -71. Let x = -58 + b. Let o = -27 - x. Calculate the remainder when 35 is divided by o.
5
Let s(m) = 20*m - 539. Calculate the remainder when 620 is divided by s(28).
11
Suppose z = -15*z + 736. Suppose 2*m = -5*w