(x). Let s = v + 9. What is the remainder when 77 is divided by s?
17
Suppose 4*p - 41*p = 3*p. Suppose 22*g = -p*g + 330. Let c(l) = -6*l - 7. What is the remainder when c(-6) is divided by g?
14
Let w = -19116 - -19123. Let x be (-20)/(-9) + (-6)/27. Suppose -x*t + 104 = 2*t. What is the remainder when t is divided by w?
5
Let g(x) = -4 + 18 - 17 + 14*x**2. Let q be g(2). Suppose 3*l = 5*k + q, -5*l + 4*k + 69 + 28 = 0. Calculate the remainder when l is divided by 12.
9
Let p = -754 - -795. What is the remainder when (18/5)/((-104)/(-1820)) is divided by p?
22
Let m = -599 - -365. Let c = m - -318. Calculate the remainder when 185 is divided by c.
17
Let b = -21 - -37. Suppose 3*z + 5*u - 49 = 0, 33 = 5*z - 3*z + 3*u. Calculate the remainder when ((-4081)/(-63) - 2) + 4/z is divided by b.
15
Let d = 4061 + -2552. What is the remainder when d is divided by 56?
53
Let r(y) = 2*y - 1. Let t be r(-1). Let f = 7607 - 7567. What is the remainder when f is divided by (-27)/t - (-6)/3?
7
Let w = 9 - 5. Suppose -w*c - c = -2*n - 175, -3*n - 175 = -5*c. Calculate the remainder when c is divided by 22 + (2 + -24 - 140/(-14)).
5
Suppose -2*q = 3*u - 74, 54 = -119*q + 121*q - 2*u. What is the remainder when 1668 is divided by q?
25
What is the remainder when 400 is divided by -75*(-1)/(1 + 8/4)?
0
Let s(m) = 25*m**2 - 12*m - 41. Let o be s(-5). Suppose -299*t = -306*t + o. What is the remainder when t is divided by 11?
4
Let g be (2/((-2)/(-5)) - -3)*2. Suppose -3*x + 4*l + 107 = -g, 4*l = -x + 57. Calculate the remainder when 87 is divided by x.
42
Suppose 0 = 4*v + 36*j - 38*j - 182, v - 56 = 4*j. Calculate the remainder when 130 is divided by v.
42
Let p(s) = s**2 + s - 8. Suppose -o = 10, -2612 - 939 = -3*m - o. What is the remainder when m is divided by p(6)?
31
Let i(w) = -2*w**3 + 15*w**2 + 13*w + 11. What is the remainder when 3824 is divided by i(8)?
50
Suppose 7*y + 157 = -1348. Let a = -154 - y. Suppose 9 - a = -4*w. What is the remainder when w is divided by 3?
1
Let c(v) = v**2 - 21*v - 20. Let x(k) = 76*k + 2710. Calculate the remainder when x(-34) is divided by c(23).
22
Suppose -25*w + 3849 + 20423 = 12*w. Calculate the remainder when w is divided by 166.
158
Let k = 4526 - 4221. Calculate the remainder when k is divided by 145.
15
Let h = 6 + 9. Let c be 1/(((-40)/h)/(-8)). Suppose 5*j = 10, 2*u + c*j - 34 = j. What is the remainder when 43 is divided by u?
13
Suppose -20*z = -3*z - 17. What is the remainder when 2/4 + (-315)/(-14) is divided by (-46)/(-115)*(z + 29)?
11
Calculate the remainder when 1338 is divided by 162/36 - (-678)/12.
57
Let i = -14214 + 17045. Calculate the remainder when i is divided by 12.
11
Suppose 6*x - x = -4*t + 1413, t - 369 = 4*x. Suppose 468 = 5*g - t. Calculate the remainder when g is divided by 21.
18
Suppose -4*o + 9*o - 1260 = -5*u, -3*u - 4*o = -752. Calculate the remainder when u is divided by 19.
9
Suppose 10*o - 7*o = 42. Suppose 14 = 5*u + o. Calculate the remainder when 38 is divided by (-4)/(-6)*(12 + u).
6
Suppose 5*m + 42 = 397. Suppose -2*v + 36 = 4*g, 2*v - g - 36 = 2*g. Suppose 0 = v*l - 5*l - 195. Calculate the remainder when m is divided by l.
11
Let w(o) = 7*o**2 - 12*o + 50. Let r(x) = -27*x**2 + 47*x - 199. Let c(b) = 2*r(b) + 9*w(b). Calculate the remainder when c(3) is divided by 12.
7
Calculate the remainder when 94 is divided by ((-2)/(-12))/(1/36).
4
Let k(d) = 16*d + 17. What is the remainder when k(7) is divided by (-568)/(-22) + (-14)/(-77)?
25
Let r(q) = -2*q**3 - 7*q**2 + 15*q + 5. Let h be r(-5). Let u(p) = -2*p**3 + 12*p**2 - 5*p - 11. What is the remainder when 91 is divided by u(h)?
7
Let a = 4735 - 4608. Calculate the remainder when 490 is divided by a.
109
Let c(v) = -14*v + 1. Let k(p) = 1. Let w(q) = c(q) - 5*k(q). Suppose 485*f = 19332 - 5267. Calculate the remainder when w(-4) is divided by f.
23
What is the remainder when (-2556)/(-30) - (-5 - 130/(-25)) is divided by 24?
13
Let r(s) = -12*s - 25. Let b(k) = -20*k - 8 + 8*k**2 - 9*k**2 - 17 - 2. Let m be b(-19). What is the remainder when r(m) is divided by 25?
21
Let x be 430/4*(-5)/(25/(-432)). Let z be (x/63 - (-3)/(-7)) + 0. Suppose -f = -4*f + z. Calculate the remainder when 95 is divided by f.
46
Let a = -609 + 822. What is the remainder when 811 is divided by a?
172
Let i(b) = 24*b**2 - 17*b - 146. What is the remainder when i(12) is divided by 7?
5
Suppose -7*d + 462 = 259. Let w = 0 - -2. Suppose 0 = -w*l + 10, 4*t + t - 4*l - 555 = 0. What is the remainder when t is divided by d?
28
Let v(h) = h**3 + 21*h**2 + 18*h - 25. Let y(x) = 43*x. Calculate the remainder when y(1) is divided by v(-20).
13
Let k = -11816 + 11867. Let y(w) = 3*w**3 + 1. What is the remainder when k is divided by y(1)?
3
Let r(m) = 47*m**2 + 40*m + 16. Let q be r(-4). Suppose 16*u - 8*u = q. What is the remainder when u is divided by 27?
22
Suppose -2*o = -1 + 17. Let k be -1 + -5 - -12 - 10. Calculate the remainder when 62 is divided by 10 + o/k + 1.
10
Let c = 405 - 395. Suppose 0 = -3*b + c*j - 13*j + 399, b + 4*j = 136. Calculate the remainder when b is divided by 40.
12
Let a = 196 + -192. Suppose 2*t - t - a*s = 25, t - 43 = -5*s. What is the remainder when t is divided by 6?
3
Suppose 0 = -3*a - 5*d + 2852, 3*a - 13*d - 2842 = -8*d. Calculate the remainder when a is divided by 95.
94
Let x(p) = p**3 + 5*p**2 - 11*p - 15. What is the remainder when 594 is divided by x(4)?
84
Let h(z) = 295*z - 1539. Calculate the remainder when h(8) is divided by 118.
113
Suppose -32*l + 34*l = 384. Let i = 220 - l. Calculate the remainder when i is divided by 3.
1
Let v(b) = 786*b - 3911. Suppose x = 130 + 1. What is the remainder when x is divided by v(5)?
17
Suppose 0 = -8*v - 8 - 8. Let t(x) = 9*x**2 + 6*x + 1. Let m(l) = 4*l**2 - 3*l + 3. What is the remainder when m(-3) is divided by t(v)?
23
Let f = 151 + -561. Let d = -382 - f. Calculate the remainder when d is divided by 17.
11
Let l = 8595 - -10491. Calculate the remainder when l is divided by 230.
226
Suppose 2*u + 18 = -r - 3*r, 3*u + 25 = -5*r. Let a = 41 + u. Let f = -31 + 44. What is the remainder when a is divided by f?
10
Suppose 205*a - 9900 = 183*a. Calculate the remainder when a is divided by 61.
23
Let i = 239 - 247. What is the remainder when (-1 - -1) + (-5 - -156) is divided by 135/((-72)/(-8)) - i/2?
18
Let l = -22 + 57. Let o(c) = c**3 + 15*c**2 - 26*c + 47. Let g be 32/(((-18)/54)/((-1)/(-6))). What is the remainder when o(g) is divided by l?
32
Suppose -g + 3*n = -12, -3*g + 8*g + 2*n + 8 = 0. Suppose -6*d - 107 + 161 = g. What is the remainder when 149 is divided by d?
5
Let x(r) = 75*r**2 - 35*r - 116. What is the remainder when x(-3) is divided by 54?
16
Let o(u) = 26*u**2 - 6*u + 1. Let a(h) = h**3 - 4*h**2 - 22*h + 62. Let x be a(6). What is the remainder when o(x) is divided by 8?
5
Suppose 6*a = a - 2*j - 79, -4*j + 67 = -5*a. Let w = a - -40. Let q = -20 + w. What is the remainder when 17 is divided by q?
2
Let l(x) = -7*x + 13*x**2 - 2*x**2 - 9*x**2 + 4 - x**2. Let a be l(6). What is the remainder when 38 is divided by 75/(-15)*a/1?
8
Let r = -259 + 381. Let o be (27 + 1)*(-2)/(-8). Suppose o*t - 8*t + 41 = 0. What is the remainder when r is divided by t?
40
Suppose -5*p = -5*r - 35, -4*p + 3*r = 98 - 129. Suppose 473 = 4*c - 275. What is the remainder when c is divided by p?
7
Suppose 5*f + v + 21 = 0, -3*f - 6 = 4*v + 10. Let s be f/(-24)*129*4. Suppose -9*p - s = -10*p. What is the remainder when p is divided by 24?
14
Let y(l) = -69*l - 1559. Calculate the remainder when y(-38) is divided by 11.
7
Calculate the remainder when (-33240)/(-180) - 3/(-9) is divided by 22.
9
Suppose -2*b - 4*u + 1514 = 0, -b + 4*u + 501 = -250. Calculate the remainder when b is divided by 229.
68
Suppose -174*w + 12816 = 4*w. Calculate the remainder when 3741 is divided by w.
69
Let q(b) be the third derivative of 1/120*b**6 + 4/3*b**3 + 0*b + 0 + 1/24*b**4 - 1/3*b**5 - 5*b**2. Calculate the remainder when 110 is divided by q(20).
26
Let q(b) = 8*b + 3. Let u be q(4). Suppose 88 = -33*y + u*y. Suppose 0 = -5*m - y + 244. What is the remainder when m is divided by 9?
4
Calculate the remainder when 24685/95 - 390/(-2470) is divided by 104.
52
Let a(x) = -7*x + 495. What is t