9. Suppose a + c - 14 = -a, -d = -3*a - c. Let y = 18 - -9. What is the remainder when y is divided by a?
6
Let k be (-183)/(-6) + 3/(-6). Let u(o) = o**3 + 5*o**2 + o. Let x be u(-4). Suppose k + x = 2*g. Calculate the remainder when g is divided by 6.
3
Let o = 441 + -406. What is the remainder when 54 is divided by o?
19
Let i(x) = 4*x - 18. Let t = 41 + -24. Suppose -t*y + 36 = -13*y. What is the remainder when i(y) is divided by 10?
8
Let l(x) = -72*x**2 + 361*x + 1. Calculate the remainder when 46 is divided by l(5).
4
Suppose 0 = 367*r - 332*r - 4410. What is the remainder when r is divided by (-3 - (-4)/2)*-32?
30
Let r(h) = -2*h**2 - 5*h - 6. Let s be r(6). Let c = -64 - s. What is the remainder when 31 is divided by c/4 + -3 + 3?
9
Suppose -67*z = -62*z - 30. Let s(x) = 5*x**2 - 12*x + 33. What is the remainder when s(z) is divided by 18?
15
Let u = -2495 - -2559. Let a be (-2)/3 + (-2)/6. What is the remainder when u is divided by 2*10 + (-2)/a?
20
Suppose 21*v = 22*v - 36. What is the remainder when 72 is divided by v?
0
Suppose 0 = 7*t - 2*t - 2085. Suppose -5*b = -558 - t. What is the remainder when b is divided by 49?
48
Let z(h) = 4*h**2 + h + 1. Let u = 30 - 32. Let a(b) = 19*b**2 + 5*b + 6. Let i(d) = u*a(d) + 11*z(d). What is the remainder when 11 is divided by i(1)?
5
What is the remainder when 1/(-2 + 318/156) is divided by 22?
4
Let z(f) = 11*f - 6. Suppose 39*y + 50 = 44*y. Calculate the remainder when z(y) is divided by 27.
23
Suppose -34*h + 2144 = -26*h. What is the remainder when h is divided by 45?
43
Let d be -2*(-33)/(-22)*(-8)/(-6). What is the remainder when ((840/(-9))/(-5))/(d/(-18)) is divided by 17?
16
Let i(x) = x**2 + 2*x - 16. Let y(l) = 4*l - 4. Let v be y(4). Let z = 19 - v. Calculate the remainder when i(5) is divided by z.
5
Suppose -5*u = 3*a - 20, -4*u + 6 - 4 = a. Let h = 1929 + -1925. What is the remainder when a is divided by h?
2
Let m(z) = z**2 - 15*z + 5. Let t = 2 - 2. Suppose p + 2*a - 18 = t, 18 = 2*p - p + a. What is the remainder when p is divided by m(15)?
3
Let i = -1897 - -1930. What is the remainder when 80 is divided by i?
14
What is the remainder when 104/13 + -5 + 850/2 is divided by 24?
20
Let g = 51 + -40. Suppose 2*s - 5*v = 35, 0 = 4*v + g + 1. What is the remainder when 39 is divided by s?
9
Let m = 168 - 66. Suppose 24 - m = -3*g. What is the remainder when g is divided by 14?
12
Let v(p) be the first derivative of -p**3/6 + 5*p**2/2 + 4*p + 5. Let z(l) be the first derivative of v(l). Calculate the remainder when 24 is divided by z(-8).
11
Suppose -10 = -3*n + n, i + 15 = 3*n. Let u(y) be the second derivative of -y**4/12 + 31*y**2/2 - 44*y. What is the remainder when 60 is divided by u(i)?
29
Let b(x) = -4*x**3 + 5*x**2 + 10*x + 11. Calculate the remainder when b(-4) is divided by 97.
16
Suppose -638 = -12*f + 8*f - 2*j, 3*f - j - 491 = 0. Calculate the remainder when f is divided by 42.
36
Suppose -5*d + 2*a + 71 = 0, d = -15*a + 16*a + 13. Calculate the remainder when (52/3)/((-4)/(-12)) is divided by d.
7
Let m = 36 + -65. Let d = m - -60. What is the remainder when 185 is divided by d?
30
Let x = 137 - 58. Let l = x + -53. What is the remainder when l is divided by 15?
11
Let x(z) = 10*z**2 + 4*z + 2. Let g be x(-2). Let d = -14 + g. What is the remainder when 48 is divided by d?
8
What is the remainder when 82 is divided by ((-265)/20)/((-13)/52)?
29
Suppose 10*i + 39 = 289. Let r(v) = 15*v**3 - v**2. What is the remainder when i is divided by r(1)?
11
Suppose 6*o - 20 = 2*q + 2*o, -4*q - 5*o - 40 = 0. Let k = -3 - q. Let y(x) = -x**2 + 11*x - 1. What is the remainder when y(9) is divided by k?
3
Let r(c) = -c**2 + 17*c - 7. Let q be r(9). Let b = q - 37. Suppose -b = f - 3*f. Calculate the remainder when 24 is divided by f.
10
Let x(v) = -v**2 + 32*v - 105. What is the remainder when 85 is divided by x(27)?
25
Suppose -o = 2*y - 6*o - 1182, 6*o + 2942 = 5*y. What is the remainder when y is divided by 42?
40
Suppose 0 = 11*x - 3447 - 788. Calculate the remainder when x is divided by 15.
10
Suppose 10*l = 7*l + 234. Calculate the remainder when l is divided by 23.
9
Let x(g) = -g**3 - 12*g**2 - 7*g + 73. Calculate the remainder when 84 is divided by x(-11).
26
Let j be (8/(-16))/(1/(-208)). Let v = j + -69. Suppose -92 = -k - 3*k - 4*l, 0 = -k - 4*l + v. Calculate the remainder when k is divided by 5.
4
Let r(p) = 7*p**2 - 8*p - 95. What is the remainder when r(13) is divided by 21?
18
What is the remainder when 208 is divided by ((-64)/12 - -6) + (-416)/(-6)?
68
Let j = 69 - 3. What is the remainder when j is divided by -3 + 23 + 3 - 0?
20
Suppose c - 9 = -38. Let x = -26 - c. Calculate the remainder when 7 is divided by x.
1
Suppose t - 2 + 166 = 5*y, -3*y - 2*t = -88. Suppose -35 = -791*h + 784*h. What is the remainder when y is divided by h?
2
Let a(i) = i**3 - 7*i**2 - 5*i - 2. Let g be a(8). Suppose 3*s - g = 38. Calculate the remainder when 77 is divided by s.
17
Suppose 5*c - 10 = 0, -4*b = -7*b + c + 43. What is the remainder when 160 is divided by b?
10
Let o(p) = 2*p**3 - 3*p**2 + 6*p - 2. Let c(n) = n. Let j(t) = -2*c(t) + o(t). Calculate the remainder when 17 is divided by j(2).
7
Let u(z) = z**2 + 6*z - 97. Calculate the remainder when u(11) is divided by 29.
3
Let s(h) = -2*h - 12. Let m be s(5). Let g(p) = p**2 + 2*p + 4. Let c be g(0). What is the remainder when 54 is divided by (m/c)/(7/(-14))?
10
Let x(o) = 11*o + 13. Let i be x(3). Let a = 59 - i. Calculate the remainder when a is divided by 5.
3
What is the remainder when 111 is divided by 2*156/(-16)*48/(-18)?
7
Let o = 32 + -16. Let v be o/24 + 6/(-9). Suppose v = 3*i - 22 + 4. Calculate the remainder when 17 is divided by i.
5
Suppose -4*m = m + 5. Let u(b) = 62*b**2 - 2*b - 1. What is the remainder when u(m) is divided by 33?
30
Suppose -9*b + 192 = 3*b. Calculate the remainder when 72 is divided by b.
8
Let h be (-6 - -3)/3 + -36. Let w = -37 - h. Let y = w + 7. Calculate the remainder when 13 is divided by y.
6
Let p(h) = 9*h - 7*h + 28 - 10*h - 83. What is the remainder when p(-26) is divided by 13?
10
Calculate the remainder when (-230)/15*6/(-4) is divided by 1*(1 - (-7 + 2)).
5
Suppose -3*p = -4*p + 4*y + 2, 0 = -4*p + 4*y + 20. Suppose -4*d + 25 = -31. Suppose -p - d = -4*h. What is the remainder when 18 is divided by h?
3
Suppose -37 = 3*z + 5*m, 0 = -3*m + 6*m + 15. Let q(u) = -u**3 - 3*u**2 + u + 9. Calculate the remainder when q(z) is divided by 8.
5
Suppose 0 = -5*r + 3*y + 104, -98 = -5*r - 0*r + y. What is the remainder when 88 is divided by r?
12
Let s(m) = m + 4. Let b be s(4). Let f be 1/(-2 + 14/b). What is the remainder when (-1)/f - 476/(-16) is divided by 11?
8
Let l(t) = 7*t + 24. Suppose -g + 0 = -4. Calculate the remainder when l(g) is divided by 14.
10
Let s be 35*2*(-6)/10. Let i = s - -85. Suppose 3*v - 5*q = 59, -4*q = -102*v + 104*v - 54. What is the remainder when i is divided by v?
20
Suppose m = -5 + 8. Suppose v - 97 = 2*g - 6, m*g = 5*v - 441. What is the remainder when v is divided by 45?
42
Let h be (-66)/(-4) - (2/(-4) + 1). Calculate the remainder when 81 is divided by 4/(h/21)*4/1.
18
Let p be ((-372)/8)/((-2)/(2*6)). Suppose 76 - p = -5*j - 2*w, -5*j + 3*w = -183. What is the remainder when j is divided by 12?
3
Let z(b) = 0*b**3 + 14*b**2 - 10*b**3 + 9*b**3 + b - 3. What is the remainder when 18 is divided by z(14)?
7
Let p = -79 - -75. Calculate the remainder when 2 - (-70 + 1 - p) is divided by 35.
32
Let v = 757 + -549. What is the remainder when v is divided by 36?
28
Suppose 0 = 4*s + y - 4*y - 8, 4*s + 5*y - 40 = 0. Suppose -s*x - x = -222. What is the remainder when x is divided by 19?
18
Let l = 182 + -151. Calculate the remainder when 616 is divided by l.
27
Suppose 3*w - 4 = 2. Calculate the remainder when 41 - (w + (-1 - 2)) is divided by 11.
9
Let i be ((-26)/(-6) - 4)*0/1. Suppose i = -10*q + 9*q + 39. Calculate the remainder when q is divided by 7.
4
Let h(w) = -w**2 - 8*w + 8. What is the remainder when 134 is divided by h(-6)?
14
Let i(w) = -2*w**2 + 24*w - 13. Let a be i(11). Suppose -2*l - 168 = -a*l. What is the remainder when 71 is divided by l?
23
Let c = -808 - -828. Calculate the remainder when 654 is divided by c.
14
Let m = -