z. Let s(p) = p**2 - p - 1. Calculate the remainder when z is divided by s(3).
1
Suppose d - 402 = -5*w, w - 786 = -2*d - 3*w. Let h = d + -366. Calculate the remainder when 900 is divided by h.
18
Suppose 9*n - 804 = n - 4*n. Calculate the remainder when n is divided by 56.
11
Suppose 4*k + 159 = 1083. Let o = -197 + k. Calculate the remainder when 88 is divided by o.
20
Suppose 6 = -2*o, 4*d - 2*o = 2*o + 20. Suppose 8*h + 5*u = 3*h + 220, -3*h = d*u - 137. Let j = -30 + h. What is the remainder when j is divided by 4?
3
Let l(u) = 9*u**2 - 8*u + 33. Calculate the remainder when l(-17) is divided by 9.
7
Let m = 12032 + -5496. Calculate the remainder when m is divided by 20.
16
Suppose 3*n = -12*n - 225. Calculate the remainder when (n/(-2))/(((-10)/5)/(-12)) is divided by 18.
9
Let d(h) = -10*h - 6. Let i(z) = 2*z**2 - 22*z + 22. Let s be i(10). Suppose 0 = -s*w + 27 - 9. Calculate the remainder when d(-4) is divided by w.
7
Let d be 38/(-10) + ((-126)/30 - -5). What is the remainder when (-494)/13*(d + 2) is divided by 14?
10
Suppose -4*z - 3*v + 475 = 0, -4*z = -5*z - 3*v + 112. Suppose -z*l = -112*l - 2106. What is the remainder when l is divided by 65?
39
Let t be (1 + 3/3)/((-14)/21). Let r = 44 - t. Let o = r - 17. What is the remainder when 57 is divided by o?
27
Suppose -3*h + 307 = 5*t, -5*t - 220*h = -224*h - 314. Calculate the remainder when 1300 is divided by t.
60
Let v = 949 + -731. What is the remainder when v is divided by 33?
20
Let x(t) = -33*t + 1433. What is the remainder when 111 is divided by x(43)?
13
Suppose -2*p + 39 + 91 = -2*o, -5*o = 2*p - 130. Calculate the remainder when 7340 is divided by p.
60
Suppose -5*s = -8 - 2. Let g(m) = -5*m**2 + 5*m - 7. Let p be g(s). Let l = 26 + p. Calculate the remainder when 25 is divided by l.
7
Let l = -1211 + 1804. Let k = l + -330. What is the remainder when k is divided by 12?
11
Let t be (0 - 1)/((-2)/(-8)) + 2. Let s be 11 + 49 + (t - 0). Suppose -i = 5*g - 77, 0 = -4*g + i - 0*i + s. What is the remainder when 27 is divided by g?
12
Suppose 10*c - 6*c = 140. Suppose -9*o + 422 = c. Let r = -30 + 46. Calculate the remainder when o is divided by r.
11
Calculate the remainder when 287 is divided by (-4221)/67*2/(-3).
35
Let b = -1258 + 1276. What is the remainder when 4/(-22) + 6570/198 is divided by b?
15
Let q = 44 + -44. Let x be ((-1)/(-1))/((-2)/(-4)). Suppose x*b - b - 36 = q. What is the remainder when b is divided by 19?
17
Let a(r) = r**2 + 2*r - 1. Let u be a(-3). Suppose 33 = x + u*x. Let p(s) = 1563*s**2 + 9361*s + 28. What is the remainder when p(-6) is divided by x?
9
Let n = 763 + -654. Let r = 4 + -6. What is the remainder when n is divided by ((-1)/r)/(2/88)?
21
Let t = 157 + -187. Let f(h) = h**3 + 29*h**2 - 28*h + 64. Suppose 2*j + 2 = 4*j. What is the remainder when f(t) is divided by j?
0
Let a = 409 + -330. Suppose 8*l + 23 - a = 0. Calculate the remainder when 83 is divided by l.
6
Let q(i) = -2*i**2 + 221*i - 1274. What is the remainder when q(99) is divided by 8?
3
Let j = -79 + 104. Suppose -842 = -j*q - 167. Calculate the remainder when 126 is divided by q.
18
What is the remainder when 6/(-3*(-3)/2040) is divided by 339?
4
Suppose 0 = -1232*z + 1238*z - 36. What is the remainder when 29/1 + -1 - -4 is divided by z?
2
Calculate the remainder when 579 is divided by -138*(-7 - (0 + (-66)/12)).
165
Let b(f) = f**3 + 6*f**2 + 5*f. Let r be b(-4). What is the remainder when 39 is divided by 4/(-6)*22*(-9)/r?
6
Let o(h) = h**2 - 12*h + 16. Let f be o(11). Suppose -m + 11 = -q, -3*m + f*m = 3*q + 32. What is the remainder when 159 is divided by (-8)/q + (-333)/(-15)?
21
Suppose 89 = 2*v - 31. Let o(a) = a**3 + 93*a**2 + 180*a - 175. What is the remainder when v is divided by o(-91)?
4
Let q be 48/40*2060/12. Suppose 5*f + i = q, -2*i = -5*f + 49 + 154. Calculate the remainder when 125 is divided by f.
2
Suppose 0 = -2*a - 2*n + 30, a - 5*n - 15 = -2*n. What is the remainder when 117 is divided by a?
12
Suppose 13 = v - 10. Let c = 8 + -6. What is the remainder when v is divided by (2/c)/(2/12)?
5
Let t be 1 - (1 + 2) - 159 - -2. Let r = 87 + t. Let g = r + 101. What is the remainder when g is divided by 6?
5
Suppose 12*d - 47114 + 362 = -4*d. Calculate the remainder when d is divided by 195.
192
Let z(v) = -3*v**3 - 90*v**2 - v - 3. Suppose -34 = -5*p + 3*i - 175, 5*p + 162 = -4*i. What is the remainder when z(p) is divided by 2?
1
Let j(t) = t**2 + 3*t + 4. Suppose -2*o + 10 = -0*o. Suppose -18*g + 54 = -108. Calculate the remainder when j(o) is divided by g.
8
Suppose -4*n - 8 = 0, 5*v = v + n + 202. What is the remainder when (-10)/6*(-1)/(3/171) is divided by v?
45
Let q(k) be the second derivative of 11*k**4/12 + 11*k**3/6 + 10*k**2 + 191*k. Calculate the remainder when 499 is divided by q(-2).
37
Let z = 1916 + -1443. What is the remainder when z is divided by 82?
63
Let c(l) = -l**3 + 6*l**2 - 2. Let s be c(6). Let a be s + (3 - 5) + 15. Suppose a = 4*r - 9, 189 = 3*z + 3*r. What is the remainder when z is divided by 15?
13
Let j(k) = k**3 + 24*k**2 + 23*k + 2. Let i be j(-23). Suppose 5*u - 4*f = 31, -u + 4*f = i*f - 5. What is the remainder when 12 is divided by u?
5
Let y = -101 + 113. Calculate the remainder when 6/(3 - (-86)/(-30)) is divided by y.
9
Suppose l - 2*h - 13 = 0, -21*l = -16*l + h - 32. Calculate the remainder when 39 is divided by l.
4
Let g = -77 + 81. Suppose 0 = 11*y - g*y - 70. Suppose 36 = 2*x - 0*x. Calculate the remainder when x is divided by y.
8
Let z be (-3)/((-12)/82*(-7)/(-14)). Let n = -102 + 166. Let d = n - z. What is the remainder when d is divided by 3?
2
Suppose q = 4*z + 5625, 4*z + 17582 - 707 = 3*q. Calculate the remainder when q is divided by 13.
9
Let h(l) = l + 48. Suppose 42*p = 47*p + 4*t - 69, 0 = t + 4. Suppose 208 = -p*g + 25*g. Calculate the remainder when h(0) is divided by g.
22
Suppose -1518 = -3*x + 4*l, 5*x - 2556 = 180*l - 182*l. What is the remainder when x is divided by 207?
96
Let m(a) = 11*a + 76. Let w be m(-7). Let b(r) = -67*r - 15. Calculate the remainder when b(w) is divided by 27.
25
Let b = -2253 - -2322. Calculate the remainder when 480 is divided by b.
66
Suppose -2*t - 3*l = -1407, t - 693 = -0*t + 2*l. Suppose 0 = 30*r - 22477 + 22087. Calculate the remainder when t is divided by r.
10
Let n be 2/(4/32*4). Suppose -n*g - g = 2*g. Suppose g = j + j - 64. What is the remainder when 158 is divided by j?
30
What is the remainder when 757 + -34 - (-1 + 15) is divided by 79?
77
Let k(a) = -a**3 - 27*a**2 - a + 147. Calculate the remainder when 2260 is divided by k(-27).
172
Let j = 22 + 0. Suppose -2255 = 34*f - 75*f. What is the remainder when f is divided by j?
11
Let n(y) = y**3 - 23*y**2 - 94*y + 14. What is the remainder when 1180 is divided by n(27)?
4
Calculate the remainder when (30/3)/(((-45)/200)/(-9)) is divided by 197.
6
Let r(s) = -s**3 + 14*s**2 - 44*s + 10. Calculate the remainder when 898 is divided by r(7).
43
Suppose -11*a - 98 = 386. Let q = 100 + a. What is the remainder when q is divided by (-18)/(-1) + 0 + 2?
16
Suppose -22*a + 17*a = -b + 28, -4*b + 163 = -3*a. What is the remainder when 1164 is divided by b?
3
Suppose -4*g - 4*m = -156, 0 = -4*g - 11*m + 16*m + 174. Calculate the remainder when 225 is divided by g.
20
What is the remainder when -1 + 612 + ((-7)/(-2))/((-1764)/(-2016)) is divided by 150?
15
Suppose 5*f - 335 = 9*q - 14*q, 0 = 4*q - 16. Suppose 920 = 71*p - f*p. What is the remainder when p is divided by 41?
33
Suppose 12*s - 13760 = 27184. Calculate the remainder when s is divided by 55.
2
Let j be 5/(15/9)*(-510)/18. Let f = j - -156. What is the remainder when 281 is divided by f?
68
Suppose 3*j + 118 + 17 = 4*h, 0 = 4*h + j - 115. What is the remainder when (-8)/44 - (-12456)/264 is divided by h?
17
Calculate the remainder when 422 is divided by ((-25)/10 - -4)/((-126)/(-10248)).
56
Let m(k) = k**2 + 9*k. Let f be m(-15). Suppose 2*v = 6*v - 3*s - 360, f = v - 3*s. Calculate the remainder when v is divided by 41.
8
Suppose 0 = -4*h - 4*l + 688, -31*h + 335 = -29*h + 5*l. Calculate the remainder when h is divided by ((-30)/24)/((-1)/24).
25
Let a(w) = 2525*w - 6100. What is the remainder when a(10) is divided by 48?
46
Suppose -3*r = 3*s -