= 4 - 3 - 7 - 1 - k**2. Let b(q) = q**2 + 1. Let x(r) = 3*b(r) + h(r). Calculate the remainder when x(4) is divided by 15.
13
Let d(t) = 5*t**2 + 6*t + 6. Let c be d(-2). What is the remainder when 23 is divided by 164/c + 8/28?
11
Suppose -102 = -3*z + z - 4*q, -3*q - 51 = -z. What is the remainder when 101 is divided by z?
50
Suppose 5*f + 3 = -0*y + y, 6 = f + 2*y. Let l(j) = j**3 - j**2 + j + 116. What is the remainder when l(f) is divided by 30?
26
Let c(z) be the third derivative of z**6/60 + z**5/60 + z**4/24 + z**3/6 + 17*z**2. Let x = -19 - -108. What is the remainder when x is divided by c(2)?
20
Suppose 0*p - 2*p = a + 6, 3*p = -2*a - 8. Suppose 3*m - 12 = a*z, 0 = 2*z - 7*z. What is the remainder when 74 is divided by ((-25)/(-15))/(m/48)?
14
Let d = 48 - 7. Suppose 170 = 4*v - 5*a, -2*v - 7 = 4*a - 105. Suppose -150 + v = -5*f. What is the remainder when d is divided by f?
20
Let z(v) = 44 + 17*v**3 + 0*v**2 - 2*v - 42 - 4*v**2 + 3*v**2. Calculate the remainder when z(1) is divided by 7.
2
Suppose 0 = g - f - 7, 0 - 24 = -3*g + 4*f. Let c(b) = -6 + 2*b + 10 - 5 + 4*b - 5*b**2 + b**3. What is the remainder when 18 is divided by c(g)?
4
Suppose 2*w - 12 = -0*w. Suppose 0 = 7*g - w*g - 36. What is the remainder when g is divided by 13?
10
Calculate the remainder when 43 is divided by (-12)/(-78) - (-501)/39.
4
Suppose k = 3 + 2, -3*k = 4*s - 735. Calculate the remainder when s is divided by 62.
56
Let u(g) = g**3 + 19*g**2 + 6*g + 26. Let v be u(-18). Suppose -109*q + 111*q - v = 0. What is the remainder when q is divided by 31?
28
Let z(o) = -o**2 - 44*o - 367. Calculate the remainder when z(-30) is divided by 10.
3
Let s(w) = -3*w - 10. Let l be s(-6). Suppose -y + 4 = -l. What is the remainder when y is divided by 8?
4
Let q(d) be the third derivative of -d**6/120 - d**5/5 - d**4/6 - 7*d**3/2 + 26*d**2. Let y = 111 + -33. What is the remainder when y is divided by q(-12)?
24
Let n(s) = -540*s + 79. What is the remainder when n(-2) is divided by 116?
115
Let k(n) = -n + 50. Calculate the remainder when 134 is divided by k(23).
26
Let o(a) = 23*a + 3. Let v be o(3). Suppose 5*m = 18 + v. Suppose 0 = -x + 5*f + m, 2*x + f = -2*x + 9. What is the remainder when 5 is divided by x?
2
Suppose -15*j + 32 = -13*j. Suppose 11 = 5*m + 81. Let n = 24 + m. What is the remainder when j is divided by n?
6
Suppose -4*l = -2*d - 0*d - 68, d - 17 = -l. Suppose 11*w - 4*w = 2*w + 20. What is the remainder when l is divided by w?
1
Let y = -323 + 621. What is the remainder when y is divided by 20?
18
Suppose -188 = -p - 3*p. Suppose -3*o = o + 12. Let u(x) = -x**3 - x**2 - 3*x - 2. What is the remainder when p is divided by u(o)?
22
Let v = -8 - 1. Let u(p) = -5*p**2 - p**3 - 4*p - 4*p**2 + 2 - 2 - 9 + 1. Calculate the remainder when u(v) is divided by 6.
4
Let w(c) = -c**2 + 39*c - 148. Calculate the remainder when w(30) is divided by 44.
34
Suppose -3*p = -p + 4*u + 24, 3*u = 4*p + 37. Calculate the remainder when 36 is divided by 6/(-10) - 136/p.
10
Let b(y) = -y**3 + 3*y**2 + 5*y - 8. What is the remainder when 12 is divided by b(3)?
5
Let h = -878 - -934. Calculate the remainder when 57 is divided by h.
1
Suppose -73 = -v + 5*d, v + 3*d + 29 - 78 = 0. What is the remainder when 203 is divided by v?
29
Let f = -58 + 83. Suppose 2*w + 3*w - f = 0. Suppose 267 = w*a - 0*a - 4*d, -2*d = 6. Calculate the remainder when a is divided by 18.
15
Let p be (-8)/((-80)/15)*-4. What is the remainder when p/(30/5) + 37 is divided by 19?
17
Suppose -5*f + 2*z + 729 = 0, 0 = f - 4*f + 3*z + 432. What is the remainder when f is divided by 37?
36
Let d be (-14)/(-8)*(2 - -6). Let w = 38 - d. Calculate the remainder when 47 is divided by w.
23
Suppose -o + 1 = -3*r + 8, -2*r + 5*o = -9. What is the remainder when (-60)/(-14) - (3 - (-95)/(-35)) is divided by r?
0
Let u(b) = -4*b**2 + 3*b - 2. Let l be u(2). Let s(t) = -10 + 12*t + t**2 + 63 - 22 - 12. Calculate the remainder when s(l) is divided by 4.
3
Suppose -89 = -2*h + 19. Suppose 9*o = h + 216. Calculate the remainder when o is divided by 17.
13
Let j be (1/(-2))/((-6)/(-36)). Suppose -5*h + 3*k + 91 = 0, 5*h - 87 = 5*k - 4*k. What is the remainder when (-87)/j + (-6)/(-3) is divided by h?
14
Suppose 9*q = q + 736. Calculate the remainder when q is divided by 19.
16
Let i(k) = 2*k**2 + 10*k - 52. What is the remainder when i(-12) is divided by 33?
17
Suppose -4*g = o - 90, -4*g + 12 = 2*o - 76. Calculate the remainder when g is divided by 4.
3
Let p = -152 - -269. Let s(o) = -o**3 - o**2 - 4*o. Suppose d - 9 = -3*h - 0, 11 = 3*d + 5*h. What is the remainder when p is divided by s(d)?
27
Suppose -l - 4 = 0, -5*g + 90 = -4*g + 3*l. Calculate the remainder when 405 is divided by g.
99
Let v(n) = n**2 - 15*n + 17. What is the remainder when v(16) is divided by 32?
1
Suppose -68 = 2*y - 578. Suppose 6*x = x, -m = -5*x - y. Suppose 4*f + f - m = 0. Calculate the remainder when f is divided by 18.
15
Suppose -142 = -16*q + 50. What is the remainder when 268 is divided by q?
4
Let m = -35 - -80. What is the remainder when 87 is divided by m?
42
Suppose 25*r - 9*r = 144. What is the remainder when 186 is divided by r?
6
Suppose 3*k - 50 = -44. Suppose 4*v = 3*h + k*v - 104, 0 = 2*h + v - 67. Calculate the remainder when h is divided by 12.
10
Let w(u) = -u**3 - 14*u**2 + 16*u + 26. Suppose 0 = 2*l - 8 + 38. Calculate the remainder when 54 is divided by w(l).
10
Let h(v) = v**3 - 6*v**2 + 10*v + 12. Let a = 64 - 44. What is the remainder when h(5) is divided by a?
17
Suppose -2*b + 51 = l, -3*b = b - 4*l - 132. What is the remainder when 125 is divided by b?
13
Let h(k) = k + 12. Suppose -2*x = 4*x - 12. Calculate the remainder when 15 is divided by h(x).
1
Let n be (-560)/(-60) + 1*2/3. Suppose n*a + 365 = 15*a. Calculate the remainder when a is divided by 25.
23
What is the remainder when 61 is divided by (112 - -3)*(78/15)/13?
15
What is the remainder when (-8)/(-16) - 5/(40/(-612)) is divided by 16?
13
Let d(o) = -7*o - 9. Let b(x) = -4*x - 5. Let r(m) = 5*b(m) - 3*d(m). Let j be ((-4)/10)/((-15)/600). What is the remainder when 35 is divided by r(j)?
17
Let q be (-37 - -40)/(0 + (-6)/(-16)). Suppose 3*j = q*j - 1075. What is the remainder when j is divided by 12?
11
Let s be ((-1)/8 + 99/216)*6. Suppose -4*h = -2*q, -3*h - 2*q + 5 = -q. Calculate the remainder when 17 is divided by -2 - h*(-16)/s.
5
Suppose 15*c + 84 = -96. Let a(r) = -5*r + 1 + r**2 + 15*r + 5. Calculate the remainder when 57 is divided by a(c).
27
Suppose -8 = -3*y - y. Suppose -y*b = 2*b + 4, -189 = -5*s + 4*b. What is the remainder when s is divided by ((-26)/(-10))/(1/5)?
11
Let x be (1/2)/(4/(-72)). Suppose -2*n - 18 + 4 = 0. Let f = n - x. What is the remainder when 2 is divided by f?
0
Let u(t) = t**3 + 13*t**2 - t - 5. Let r be u(-13). Let v(d) = -d**3 + 8*d**2 + 8*d + 5. Calculate the remainder when v(r) is divided by (-1 - -28)*(-8)/(-12).
15
Let w be 325/10*(-4)/(-10). Suppose 4*c = 17*u - w*u + 544, 4*c = u + 559. What is the remainder when c is divided by 13?
11
Let d be (-21 - -1)/((-2)/3*3). Calculate the remainder when (3 + -4 - 3) + d is divided by 6.
0
Let p(q) = -3*q**2 + 6*q - 3. Let f(k) = -4*k**2 + 5*k - 2. Let s(m) = -2*f(m) + 3*p(m). Let t = -1242 - -1280. What is the remainder when t is divided by s(5)?
8
Let a = -138 - -176. Suppose 9*c - 5*c + 5*b - a = 0, -c = 5*b - 17. Calculate the remainder when 20 is divided by c.
6
Let m = 286 - 283. What is the remainder when 74 is divided by m?
2
Let u = 4 - 2. Suppose 22 = -2*n + 5*v - 10*v, 0 = n - 4*v - u. What is the remainder when 35 is divided by 3/10*n*-5?
8
Suppose -2*n + 7*n = 10. Suppose -n*u - o + 4*o = -129, 4*u = -5*o + 291. What is the remainder when u is divided by 5?
4
Suppose 2*t + p = 165 + 142, -2*t + 306 = 2*p. Calculate the remainder when t is divided by 5.
4
Suppose 2*h - 4*j = 34 + 34, 9 = 3*j. Calculate the remainder when 115 is divided by h.
35
Let r(q) = q**3 - 3*q**2 + 14*q - 10. What is the remainder when r(4) is divided by 54?
8
What is the remainder when 70*(3 - (-6 + 8)) is divided by 9?
7
What is the remainder when 484 is divided by 63/4 + 2 + 3/12?
16
Suppose a = -3*a. Let m(q) = -q**3 - 5*q**2 - 2*q - 29. What is the remainder when 54 + a/