8. Let p(q) = -a(q) - s(q). What is the remainder when p(-3) is divided by 12?
9
Let b(g) = -9*g + 30. Suppose 0 = 4*o + 4*l + 8, 5*o + 13 = -4*l - 0*l. Calculate the remainder when b(-7) is divided by 484/20 + 1/o.
21
Let p(z) = z**3 - 8*z**2 - 4*z - 32. Suppose 28 + 84 = 4*i. What is the remainder when i is divided by p(9)?
2
Let i = -5 - -9. Suppose 16 = -5*n + 61. Calculate the remainder when i/(-8) + (-53)/(-2) is divided by n.
8
Let l be 63*((-6)/9 - -1). Suppose -3*r = -6*r + l. What is the remainder when 24 is divided by r?
3
Let c(k) = -k**3 - 6*k**2 + 4*k + 8. Calculate the remainder when c(-9) is divided by 4.
3
Suppose 8*k - 286 = 250. What is the remainder when 1070 is divided by k?
65
Let p(q) = 3*q - 2. Calculate the remainder when p(4) is divided by 6/21 - 589/(-217).
1
Let l be -14*-4*(-1)/(-14). Let k be l + -1 + 0 + -76. Let n = k - -103. What is the remainder when 89 is divided by n?
29
Suppose 4*x - 23 = 89. Let j(w) = 3*w + 3. Let v be j(0). Suppose 6 = u - v*n, -2*u + 5*n + 4 = -11. What is the remainder when x is divided by u?
13
Suppose -8*u = -7*u - 130. What is the remainder when u is divided by 40?
10
Let a(v) = 12*v - 103. Let g(f) = f**2 - f - 1. Let r(x) = 11*x**2 - 5*x. Let u(o) = -2*g(o) + r(o). What is the remainder when u(2) is divided by a(10)?
15
Suppose 14*u = 11*u + 48. What is the remainder when -2 - u/(-3)*(-66)/(-4) is divided by 22?
20
Let w = -506 + 197. Calculate the remainder when 5 + 145/(-25) + w/(-5) is divided by 16.
13
Suppose 5*z + 2 = -3*n, 2*z + 42 = 5*n - z. Let x be (n/4)/(2/4). Suppose -2*f + 115 = x*f. What is the remainder when 44 is divided by f?
21
Suppose -5*p - 2 + 7 = h, -3*h + 5*p + 35 = 0. Suppose -77 = -2*r + o + h, r = -o + 42. What is the remainder when r is divided by 11?
10
Let m(k) be the second derivative of -k**5/20 - k**4/6 + k**3 - 3*k**2/2 - 25*k. What is the remainder when 57 is divided by m(-4)?
2
Let n = 548 - 306. Calculate the remainder when n is divided by 81.
80
Let b(w) = -w**2 + 2*w - 4. Let y be b(3). Let r(h) = -3*h - 7. What is the remainder when r(y) is divided by 6?
2
Let r(j) be the third derivative of 5*j**4/24 + j**3/6 - 140*j**2. Suppose -y - y = -10. Calculate the remainder when 75 is divided by r(y).
23
Suppose -3 = 2*c + 5, 4*v + 12 = -3*c. Calculate the remainder when 66 is divided by 3/((-9)/(-102) - v).
32
Suppose 386 = -17*k + 573. Let s(d) be the first derivative of -d**2/2 + 3*d - 1. What is the remainder when k is divided by s(0)?
2
Let l(g) be the first derivative of g**4/4 - 4*g**3/3 - 7*g**2/2 - 7*g - 20. What is the remainder when 45 is divided by l(6)?
22
Let g = 78 + -47. Let n(q) = -2*q**2 - q**2 + q**3 - 2*q**3 + 1 + 5*q**2 + 3*q. What is the remainder when g is divided by n(-2)?
9
Suppose 0 = r + k - 37, -3*k + 2*k = 5. Calculate the remainder when r is divided by ((-12)/(-84))/(5/385).
9
Let t(m) = -12*m - 35. Suppose 3*h + 3*b + 3 + 15 = 0, -b = -5*h - 36. What is the remainder when t(h) is divided by 17?
15
Let n be 3/(4 - 3) - -47. Suppose -x - 129 = -5*r - n, 0 = r + 5*x + 5. Calculate the remainder when ((-15)/9 - -2)*78 is divided by r.
11
Let b = 29 + -4. Suppose -9*q = -10*q + b. Suppose -4 = -4*f + 24. What is the remainder when q is divided by f?
4
Suppose 321 = -5*b + 451. Calculate the remainder when 179 is divided by b.
23
Suppose -3*c = 2*c - 530. Suppose 134*u - 3846 = 978. Calculate the remainder when c is divided by u.
34
Suppose -d - 5*h = -295 + 33, -2*d + 2*h + 560 = 0. What is the remainder when d is divided by 40?
37
Let n(k) = 8*k - 4. Let w be n(-3). Let f(l) = -l + 26. What is the remainder when -1*3/3*w is divided by f(11)?
13
Suppose 5*i + 4*y = 34, -3*i - 5*y + 19 + 4 = 0. Suppose 0 = -i*b + 2*b + 28. Calculate the remainder when b is divided by 5.
2
What is the remainder when 1 - 1 - 30/(-2) is divided by 0 + (-250)/(-28) - (-15)/210?
6
Suppose -3*d + t = -47, -2*t = 4*d - 41 - 25. Suppose -5*n = -a - 7, a + 0*a - 13 = -5*n. What is the remainder when 22 is divided by d/a*72/32?
10
Let n be (-2)/7 - (-531)/21. Suppose 3*b = -s + 17, 3*b = -0*b + s + n. What is the remainder when 24 is divided by b?
3
Let g = -732 - -513. Let d(c) = -14*c**3 + 3*c**2 + 2*c. What is the remainder when (-1 - (-8)/12)*g is divided by d(-1)?
13
Let t(g) = 138*g - 273. Calculate the remainder when t(4) is divided by 71.
66
Suppose 0 = 4*i + 3*q - 105, 5*i - 175 = -25*q + 30*q. Calculate the remainder when 52 is divided by i.
22
Let k = -31 - -33. Suppose 2*q - 78 = -5*o, -k*q + 5*o + 44 + 34 = 0. Calculate the remainder when q is divided by 14.
11
Suppose 0 = 4*s - 13 - 43. Suppose 63 + 175 = s*v. What is the remainder when 67 is divided by v?
16
Let u(m) = 4*m**2 + 8*m + 13. What is the remainder when 19 is divided by u(-2)?
6
Let f be (8/7 - 2)*(9 - 23). What is the remainder when ((-28)/(-20) - 1)*(f - -3) is divided by 5?
1
Let f(o) = 8*o + 875. What is the remainder when f(-71) is divided by 137?
33
Let i(l) = -l**2 + 7*l. What is the remainder when i(6) is divided by -1 + -1 - 53/((-636)/72)?
2
Suppose 19 = w - j, -5*j + 68 = 3*w - 13. Suppose -84 - w = -2*g. Let r(b) = b**3 + 5*b**2 + b + 2. Calculate the remainder when g is divided by r(-4).
11
What is the remainder when 438 is divided by (-23 - -43) + 4 + -6 + 2?
18
Let y(f) = -f - 2. Let m be y(-8). Let b be (m/2)/(3/8). What is the remainder when 21 is divided by (-15)/20 - (-102)/b?
9
Let n(v) = v**2 + 2*v + 10. Let x be (-4)/12 + (-196)/(-12) - 3. Suppose -213 + x = -8*t. What is the remainder when n(7) is divided by t?
23
Suppose -2*j - 51 = -4*j + 3*a, 4*j - a - 107 = 0. Suppose -174*r + 106 = -172*r. What is the remainder when r is divided by j?
26
Suppose -67 = -f + 3*s, -5*f + 122 = -2*s - 161. Calculate the remainder when f is divided by ((-75)/(-60))/(1/12) + -1.
13
Let p(l) = -l**3 + 13*l**2 + 15. Let k be p(13). Let z(x) = 7*x - 35. Calculate the remainder when z(k) is divided by 24.
22
Suppose 4*g + 111 = -265. Let c = g + 114. What is the remainder when 99 is divided by c?
19
Suppose 0 = -2*w - 0*w - 2*r - 8, 3*w + r = -2. Suppose -4*v = 4*t - 240, 124*v + 66 = t + 122*v. What is the remainder when t is divided by 0 + -1 + w*14?
10
Suppose l + 3*h = 6 - 1, l - 3*h + 1 = 0. Suppose 0 = 5*x - 3*u - 320, 2*u = -l*x - 57 + 201. What is the remainder when x is divided by 14?
11
Calculate the remainder when 26 is divided by -5*(8/(-8) + 0).
1
Let q = -48 - -61. Suppose -3*d - 21 = -0. Let h = -2 - d. What is the remainder when q is divided by h?
3
Suppose 0 = -3*g + 2*y + 608, 3*g - 3*y - 305 = 298. What is the remainder when g is divided by 26?
24
Let i = 262 - 222. What is the remainder when 113 is divided by i?
33
What is the remainder when 644 + (9 - 8)*-8 is divided by 49?
48
Suppose 2*p = -b + 62 + 134, -292 = -3*p - b. Calculate the remainder when p is divided by 25.
21
Suppose 32*i - 945 = 17*i. Calculate the remainder when i is divided by 13.
11
Suppose -2*j + p = 0, -2*j - 5*p = 24 - 0. What is the remainder when (j*1/(-4))/(9/342) is divided by 7?
5
Suppose 0*a = -3*s - a + 59, -15 = -3*a. Calculate the remainder when 10/(-45) + 1300/s is divided by 15.
12
Let t be 1/(-2) + 471/6. Let j = 132 - t. Calculate the remainder when j is divided by 19.
16
Let b be -3 + 105/(15/3). Let f be (-1*b)/((-3)/(-3)). Let r = f + 35. What is the remainder when 64 is divided by r?
13
Let r = 5 - -2. Let v(x) = r*x**3 + 2*x + 2*x - x**3 - 2*x - 2. What is the remainder when 9 is divided by v(1)?
3
Let r be (-4)/6 - 22/(-6). Suppose -r = -5*k + 2. Suppose 0 = -i + 33 + k. Calculate the remainder when 65 is divided by i.
31
Let k = -682 + 716. Calculate the remainder when 75 is divided by k.
7
Let n = -1534 + 1577. What is the remainder when 148 is divided by n?
19
Suppose 2*c = 3*c - 11. Suppose -11 + 6 = -3*g - k, -4*k = 3*g - c. Suppose g = 3*r - 131. Calculate the remainder when r is divided by 15.
14
Suppose -3*p = -50*n + 59*n - 159, 0 = -2*n - 5*p + 31. What is the remainder when 89*(1 - 0/2) is divided by n?
17
Let b = 8 - 5. Let i = -5 + 15. Suppose -a + 6*a = i. What is the remainder when b is divided by a?
1
Suppose 8*r + 9 = 11*r. Suppose 113 = 5*x + r*l, -4*l + 73 - 3 = 3*x. Calculate the remainder when 108 is divided by x.
20
Let m(x) = 2*x**2 - 2