Let g(c) = 4*c**3 - 23*c**2 + 54*c - 314. Calculate the remainder when g(6) is divided by 16.
14
Suppose 0 = y + 4*t - 282, -584 = -2*y - 2*t + 4*t. Let a = -189 + y. Calculate the remainder when a is divided by (-4)/44 - (-2 + (-3159)/143 + 9).
11
Suppose 2*p + 30*x - 34*x - 1034 = 0, -4*x = -4*p + 2044. Calculate the remainder when p is divided by 191.
123
Suppose 4*h - 27358 = -2*k, 4*h + 27*k = 29*k + 27386. Calculate the remainder when h is divided by 116.
115
Suppose -68*w + 2 = -69*w. Let h = 81 - -40. What is the remainder when h is divided by (w/1)/12 + 1122/36?
28
Let j = 11079 - 8916. Calculate the remainder when j is divided by 167.
159
Suppose -1333*w + 3996 = -1297*w. Calculate the remainder when 311 is divided by w.
89
Calculate the remainder when 838 is divided by 22/33*(-18 + 60).
26
Let x(a) = -a**2 + 24*a - 51. Let y be 21/28 - (-81)/4. What is the remainder when 22 is divided by x(y)?
10
Let k(b) = -b**2 - 5*b. Let j be k(-5). Calculate the remainder when 15/(-5)*(3 - (6 + j)) is divided by 2.
1
Suppose 5*t + 33 - 4784 = -2*g, 5*t + 3*g - 4754 = 0. Calculate the remainder when t is divided by 87.
79
Suppose 2*c + a - 1032 = 0, 1028 = 2*c - 258*a + 260*a. What is the remainder when c is divided by 65?
63
Let v be (-1)/(-2) - ((-23)/2 - -2). What is the remainder when (1*v/30)/((-2)/(-174)) is divided by 20?
9
Let y = 293 + -290. Suppose 25 = 5*p - 2*o, 3*o + y + 3 = 3*p. Calculate the remainder when 10 is divided by p.
3
Suppose 61 = -2*a - 3*x + 6*x, -3*x = 3*a + 84. Let i be 106*(-3 + 1*28/8). Let f = i + a. What is the remainder when f is divided by 15?
9
Let a = -9 + 22. Suppose -9*b = -a*b + 456. What is the remainder when b is divided by 29?
27
Let b(t) = -15*t**2 + 6*t + 9. Let j be b(5). Let k = j - -394. What is the remainder when 171 is divided by k?
55
Suppose -c + 4*k = 1, 3 = 3*c - 4*k - 18. Suppose 0 = -c*l + 7*l - 48. Calculate the remainder when 27 is divided by (-4)/l + 70*(-1)/(-6).
3
Let i(t) be the first derivative of -t**4/4 + 3*t**3 - 5*t**2/2 + 43. Let g be i(6). Suppose -9*u = -6*u - g. Calculate the remainder when u is divided by 10.
6
Let v(f) = f**2 + f + 46. Suppose 3*h - 4*q + 6*q = 415, -2*h - 5*q + 284 = 0. Calculate the remainder when h is divided by v(0).
45
Let k = 99 + -93. Suppose -3*m + k*m = 0. Suppose 12 = r - m. What is the remainder when 47 is divided by r?
11
Let o(v) be the first derivative of 5608*v**3/3 - v**2 - 1. Let u be o(-1). Calculate the remainder when 109 is divided by 4/7 + u/154.
35
Suppose -5*z = -61 + 1. Let y = 644606 - 644534. What is the remainder when y is divided by z?
0
Suppose 3*f - 4 = 5, 0 = 3*i - 3*f - 78. Suppose 4*l + 6*b - 1796 = 3*b, -3*l + 2*b = -1330. Let x = -438 + l. Calculate the remainder when i is divided by x.
5
Suppose -10*w - 83 + 3 = 0. Suppose -15*b + 2 = -14*b. What is the remainder when ((-1)/(b/w))/(4/22) is divided by 5?
2
Suppose 4*b - h = -1313, 4*b - 326 = 5*b - h. What is the remainder when 7 is divided by 7/2*(-376)/b?
3
Suppose 11*k + 436 = 13*k. Let a = k + -122. Suppose -a = q - 4*q. What is the remainder when q is divided by 18?
14
Let i(s) = s**2 + 6*s + 15. Let l be i(-10). Let o = l + -48. Suppose 9*p - 10*p = -o. What is the remainder when 12 is divided by p?
5
Let i(l) = 17*l - 1. Let d(f) = -18*f + 1. Let s(o) = -3*d(o) - 4*i(o). What is the remainder when (-53 - -803)/(-50) + 139 is divided by s(-3)?
38
Let s(c) = c**2 - 2*c + 1. Let y(o) = 116*o - 51. Let g be y(2). Suppose -g*x + 282 = -175*x. Calculate the remainder when x is divided by s(-3).
15
Let s(d) = -d**2 - 4*d + 10. Let p be s(-5). Let x be p*(-2 - 196/(-10)). Let r = x - 71. Calculate the remainder when 63 is divided by r.
12
Let u be (54/42)/((-6)/(-28)) - 106. Let t be 16*(-4)/(-2)*7. Let c = t + u. Calculate the remainder when c is divided by 14.
12
Let a(f) = 199*f - 5469. What is the remainder when a(30) is divided by 501?
0
Let y(v) = -211*v - 1903. What is the remainder when y(-19) is divided by 46?
36
Suppose 2*v - 5*v = 9. Let g(d) be the first derivative of d**2 + 9*d - 3. Calculate the remainder when 5 is divided by g(v).
2
Suppose 4*u - 144 = -4*b, 2*b + 50 = 3*u - 83. Let i(r) = -46*r + 23. What is the remainder when i(-3) is divided by u?
38
Let c = 2407 - 1109. What is the remainder when c is divided by 14?
10
Let k(h) = -19*h + 23. Let t be k(1). Suppose -t*a = -5*v - 78, 112 = 5*a - 4*v + 10. Calculate the remainder when a is divided by 20.
2
Let l be (-2 - 0 - 127) + (0 - -1). What is the remainder when 4*(-2248)/l - 6/(-8) is divided by 4?
3
Let r(p) = p**2 - 278 - 11*p + 285 + p**3 - 4*p**2. Calculate the remainder when r(7) is divided by 10.
6
Let f(q) = -q**2 + 42*q + 59. Let p be f(31). Let m = p + -174. Calculate the remainder when m is divided by 19.
17
Suppose 19 = 5*m - 6. Let o(k) = k**2 - k + 24. Let q = 18 - 3. What is the remainder when o(m) is divided by q?
14
Let q be 108/1350 + 4/(-50). Suppose q = -102*c + 89*c + 962. Let k(m) = 2*m**2 + 3*m. Calculate the remainder when c is divided by k(3).
20
Let g = 115 + -97. Let n(q) = q**2 - 13*q + 68. What is the remainder when n(g) is divided by 42?
32
Let k(j) = -77*j - 130. Suppose 9 = 2*h + 5*f, 14*h - 13*h = -f. What is the remainder when k(h) is divided by 14?
3
Let i = 571 + -406. Calculate the remainder when i is divided by (-44 + (-22490)/(-325))/(-1 + 13/10).
81
Let g(p) = 4*p. Let c be g(0). Suppose c = -2*k + 2*d - 48, -k = -d + 6*d - 6. Let i = k + 51. Calculate the remainder when 127 is divided by i.
31
Let t(r) = 9*r**2 + 35*r + 185. Calculate the remainder when t(-4) is divided by 26.
7
What is the remainder when 174 is divided by (-502)/(-5) - 19/(950/(-30))?
73
Let n(v) = v - 1. Let d be n(4). Suppose 16*r = -27 + 27. Suppose r = d*u - 94 - 11. Calculate the remainder when u is divided by 22.
13
Let w be ((-39)/(-26))/(0 + 6/16). Let y be 98/w - (-1 + (-15)/(-10)). What is the remainder when 76 is divided by -1 - 5*(-3 + y/(-20))?
16
Let g(y) = y**3 - 37*y**2 + 2*y + 45. Let h(o) = -o**2 + 10*o + 5. What is the remainder when g(37) is divided by h(10)?
4
Let o = 7740 - 7577. What is the remainder when 497 is divided by o?
8
Let i(x) = -6*x + 46. Let l be i(7). Suppose 202 = l*y + 146. Suppose -4*c - 3*o - 5 = 2*o, 5*c - 45 = 4*o. What is the remainder when y is divided by c?
4
Let j = 233 - 150. Calculate the remainder when j is divided by ((-16)/(-40))/((-6)/(-435)).
25
Calculate the remainder when 208 is divided by ((-2)/(20/(-22)) - 1)*(-26980)/(-568).
37
Let a = 136 - 131. Suppose 7*o + a = 2*o. Calculate the remainder when 27 is divided by (6*o/(-12))/(2/88).
5
Let p(s) = 375*s**2 - 115*s + 671. What is the remainder when p(6) is divided by 107?
106
Let d be 36/(-24) + 0 + 9/(-6). What is the remainder when 102/3 + d + -5 + 6 is divided by 5?
2
Suppose 5 = -j - 0*j. What is the remainder when 26*133/42 + 4/(-3) is divided by j/20 + 114/8?
11
Suppose 45*l = 487 + 638. Let f(g) = 5*g - 103. Calculate the remainder when f(30) is divided by l.
22
Suppose j + 476*y - 49 = 479*y, 0 = 4*j - 4*y - 172. Calculate the remainder when 254 is divided by j.
14
Let g(k) = 777*k - 4753. Calculate the remainder when g(8) is divided by 183.
182
Let j(p) = 16*p**2 + 3*p - 1. Let l be j(1). Suppose -5*f + 63 = z, -l = 2*f - 3*f - 2*z. Calculate the remainder when 26 is divided by f.
2
Let g = -18 + 20. Suppose 0 = -r + 5*d - 22, -g*r = -7*r + d - 62. Let z(m) = -14*m - 13. What is the remainder when z(r) is divided by 39?
38
Suppose 370*t - 420 = 358*t. Suppose 20*f + 3105 = t*f. Let n(d) = 5*d**2 + 3*d - 2. What is the remainder when f is divided by n(3)?
51
Let k be (-92)/(-2) + 9/(45/10). Let a = -16 + k. What is the remainder when a is divided by 22?
10
Let k(l) = l**3 - 15*l**2 - 120*l - 28. What is the remainder when 35781 is divided by k(-5)?
69
Let o be -7 + (-120)/(-18) + 43/3. Let g(n) = -n**3 + 13*n**2 + 17*n + 20. What is the remainder when 201 is divided by g(o)?
15
Let q = 5 - -6. Let d = q - -6. Calculate the remainder when d is divided by ((-6)/4)/(3/(-22)).
6
Suppose 17*n + t + 160 = 21*n, -2*n + 94 = 3*t. Suppose -204 = -n*b + 7*b. What is the remainder when 49 is divided by b?
1
Suppose -h + 30 = 2*x - 6, 3*h = -5*x + 112. Let t = -28 + h. What is the remaind