4). Let u = -21 + n. Let s(q) = -q**3 - 6*q**2 + 4*q - 13. Calculate the remainder when 14 is divided by s(u).
6
Let u(s) = -s**3 + 10*s**2 - 12*s + 10. Let z be u(8). Let c = -22 + z. Suppose y = 4*y - 36. What is the remainder when c is divided by y?
8
Suppose -147*z + 152*z - 480 = 0. What is the remainder when z is divided by 52?
44
What is the remainder when -268*((4 - (-14)/(-8)) + -5) is divided by 18?
17
Calculate the remainder when (8/10 - 0)/(28/1190) is divided by 4.
2
Suppose -43 = -3*b + 26. Suppose -r + 88 = 2*o, -3*o + r + 0*r + 122 = 0. Suppose -4*g + 230 = -o. Calculate the remainder when g is divided by b.
22
Suppose -4*r = -r + 12. Let u = 7 - r. Let m(n) = -n**2 - 14*n - 17. Calculate the remainder when m(-7) is divided by u.
10
Let n = -17 - -28. Let h = 5 - 8. Let y = h + n. Calculate the remainder when 14 is divided by y.
6
Let f be 52/8 + (-3)/(-6). Let j = f + 2. Calculate the remainder when 53 is divided by j.
8
Suppose 4*c = -2*v - 2*v + 124, 5*c = -v + 135. What is the remainder when (-766)/(-10) - 14/(-35) is divided by c?
25
Let c(x) = -7*x - 31. What is the remainder when 61 is divided by c(-8)?
11
Let j = 2967 - 1968. Let n(g) = -5*g + 28. Let a be n(2). Calculate the remainder when 2/3*j/a is divided by 19.
18
Let a = 14 + -21. Let s(t) be the first derivative of t**3/3 + 2*t**2 - 8*t - 5. Calculate the remainder when s(a) is divided by 8.
5
Let b(n) = n**3 - 5*n**2 - 12. Let i be b(5). Let d = 16 + i. Calculate the remainder when 9 is divided by d.
1
Suppose 2*g - 3*f - 5 = 0, -g = -5*g - 5*f + 65. What is the remainder when 869 is divided by g?
9
Suppose 0 = -1482*o + 1481*o + 89. What is the remainder when 276 is divided by o?
9
Suppose 0*m = -5*m. Suppose -4*o = -2*c + 30, c + m*c = -o. Suppose -4*v + 133 - 61 = 0. What is the remainder when v is divided by c?
3
Let s = 124 - 99. Suppose z + 37 = 5*z - m, 0 = -4*z + 5*m + s. What is the remainder when z is divided by (-10)/(-4) - 1/(-2)?
1
Let w(m) = -175*m - 711. Calculate the remainder when w(-14) is divided by 20.
19
Let a(j) = -3*j**3 - 4*j**2 - 3*j - 1. Suppose -3*i + 12 = -12. Suppose 2*h = -2*h - y - i, 5*y = -5*h - 10. What is the remainder when a(h) is divided by 7?
6
Let d(x) = 5 + 32*x**2 - 18*x + 24*x**2 - 2*x**3 - 68*x**2. What is the remainder when 75 is divided by d(-4)?
10
Suppose -3*o + 224 = 4*o. Calculate the remainder when 122 is divided by o.
26
Suppose 5*y + 3*u = -1823, -724 - 1098 = 5*y + 2*u. Let w be (-2)/13 - y/169. Suppose -3 = -w*o + 3. Calculate the remainder when 4 is divided by o.
1
Suppose 2321 = 11*q - 253. Calculate the remainder when q is divided by 26.
0
Suppose 23*r = 18*r + 390. Suppose -11*s + 32 + r = 0. What is the remainder when 17 is divided by s?
7
Calculate the remainder when 83 is divided by 5/(7/(-84)*-4).
8
Suppose -c - 46 = 4*i, -87 = 5*c - i + 59. What is the remainder when 179 is divided by (0 - (-108)/(-15))/(6/c)?
35
Let i(f) be the third derivative of f**4/12 + f**3/3 + 95*f**2. Let z be 21/12 + (-1)/(-4). What is the remainder when i(z) is divided by 2?
0
Suppose -40*j = -39*j - 11. What is the remainder when 86 is divided by j?
9
Suppose -11*s + 189 = -9. Calculate the remainder when s is divided by 8.
2
Let o(i) = 30*i**2 - 2*i + 2. What is the remainder when 96 is divided by o(1)?
6
Let v(b) = b**2 - 23*b + 32. What is the remainder when 503 is divided by v(24)?
55
Suppose 9*j - 88 = j. Let z = 274 - 200. Calculate the remainder when z is divided by j.
8
Suppose 3 = -6*y - 33. Let p(m) = -m**3 - 5*m**2 + m + 12. What is the remainder when p(y) is divided by 22?
20
Suppose 0 = 3*u + b - 2*b + 117, 2*b = 0. Let f = 66 + u. What is the remainder when 80 is divided by f?
26
Let i(u) = 6*u**3 - 5*u**2 - 3*u - 6. Let t be i(6). Let k = 11 + -3. Calculate the remainder when 2/(k/t*3) is divided by 23.
22
Suppose -147*y + 1305 = -142*y. What is the remainder when y is divided by 38?
33
Suppose -4 = t - 1, 0 = -5*y - t + 7. What is the remainder when 12 is divided by y*(-35)/(-20)*2?
5
Let y(p) = 19*p - 101. Calculate the remainder when y(8) is divided by 21.
9
Let j = -171 - -117. Let k = -19 - j. Suppose 4*b - 3*p - 2*p = 101, 0 = b - 4*p - 39. What is the remainder when k is divided by b?
16
Let d be 46/10 + (-6)/(-15). Suppose -5*r + 2*w - d = -26, 2*r - 4*w = 2. What is the remainder when 9 is divided by r?
4
Let w(n) = n**3 + 8*n**2 + 9*n - 14. Let c be w(-7). What is the remainder when 100 - 3 - (1 - 1) is divided by 14/c + (-51)/(-2)?
22
Let q(r) = -r**2 + 6*r - 6. Let b be q(4). Let v(y) = 4*y**b + y**3 - 2*y - 4*y - 5 + 2*y. Calculate the remainder when 43 is divided by v(-4).
10
Let p = 327 - 97. Calculate the remainder when p is divided by 13.
9
Suppose -s + 14 = 17. Suppose 31 = 3*p - 77. Calculate the remainder when p is divided by s*((-8)/6 - 3).
10
Suppose 0*c + 108 = 3*o + 3*c, 3*c - 172 = -5*o. Let b(z) = -z + 93. Calculate the remainder when b(0) is divided by o.
29
Suppose 4*x = o + 34, 0 = -5*x + 4*x + o + 10. Let r(g) = 9*g - 2. Calculate the remainder when r(x) is divided by 12.
10
Let g be (30/12)/((-2)/(-4)). Suppose -g*y = -27 - 133. Calculate the remainder when y is divided by 11.
10
Let d(y) = -y + 24. Let r(t) = -10*t - 2. Calculate the remainder when d(-29) is divided by r(-3).
25
Let i = -18 + 10. Let o(r) = r**3 + 9*r**2 + 5*r - 4. Let b be o(i). What is the remainder when (-2)/b*-6*55 is divided by 9?
6
Suppose 2*l - 4 + 2 = 0. Let p be (0 + 1)*(1 - l). What is the remainder when -3 + (p - -36) - -1 is divided by 12?
10
Suppose -32 - 3 = -7*n. What is the remainder when 5 is divided by n?
0
Let g(x) = 22*x**2 - 9*x + 19. Calculate the remainder when 620 is divided by g(2).
86
Let b(n) = n**2 - 10*n + 14. Calculate the remainder when (-3058)/(-77) - 2/(-7) is divided by b(10).
12
Suppose -45*y - 36 = -51*y. Let l = 7 - 3. Suppose 0 = l*z - 21 - 47. Calculate the remainder when z is divided by y.
5
Let f = 40 - -33. Calculate the remainder when f is divided by 38.
35
Let w = 183 - 123. Suppose -2*k = -4*l + 64, -7*k + 32 = 2*l - 3*k. What is the remainder when w is divided by l?
12
Let n(d) be the first derivative of d**2 + 59*d + 24. What is the remainder when n(4) is divided by 23?
21
Let l(o) = 12*o - 8. Let y(x) = -11*x + 7. Let r(c) = -3*l(c) - 4*y(c). What is the remainder when 47 is divided by r(2)?
11
Let x(z) = z**3 + 6*z**2 - 3*z - 4. Let u(q) = -2*q**2 - 27*q + 5. Calculate the remainder when u(-12) is divided by x(-6).
13
Suppose 0 = -3*k + s + 120, -5 = -2*k - 3*s + 86. Suppose 2*p - 1 - 11 = 0. Let g = k + p. What is the remainder when g is divided by 12?
11
Let n(s) = 10*s + 4. Let c(o) = -o**3 - 5*o**2 + 14*o - 17. Let t be c(-7). Let l = 36 + t. Calculate the remainder when n(5) is divided by l.
16
Let x(w) = -w**3 + 3*w**2 + 10*w - 4. Let c be (-70)/(-22) - (-2)/(-11). Suppose -221 - 4 = -c*j. What is the remainder when j is divided by x(3)?
23
Suppose -18*l = -21*l - 5*z + 149, 5*z = 5. Suppose 34 = 2*u + 3*u + 4*d, 66 = 5*u - 4*d. What is the remainder when l is divided by u?
8
Let s(d) = d**3 + 7*d**2 - d - 22. What is the remainder when 209 is divided by s(-4)?
29
Suppose 5*p = -5*b + 260, -5*b - p - 183 = -9*b. What is the remainder when b is divided by 8?
7
Let q = 14 + -10. Suppose q*n - 67 = -4*l + 5*n, 3*n = -5*l + 105. Suppose 34 = 4*t - l. What is the remainder when t is divided by 8?
5
Suppose -5*l + 14 = -16. Let x be 84/(-16) + l/(-8). What is the remainder when 58/8 - x/(-24) is divided by 6?
1
Suppose -2*c = -1 + 3, 3*t + 48 = -3*c. Let y = 20 + t. Suppose 4*d - 468 = -g, 310 = 3*d - y*g - 41. Calculate the remainder when d is divided by 30.
27
Suppose 3*h - 10 = h. Suppose -h*i + 198 = i. What is the remainder when 97 is divided by i?
31
Let r(x) = -x**3 - 8*x**2 - 3*x - 10. Suppose -3*y - 15 - 9 = 0. What is the remainder when 68 is divided by r(y)?
12
Let u be (-42)/(-4)*(-8)/(-6) + -1. Suppose 0 = -4*h + 23 + u. Calculate the remainder when 44 is divided by h.
8
What is the remainder when (-279208)/(-1292) + (-2)/19 is divided by 44?
40
Let b = -129 + 147. Let g(y) = 13*y**2 - 4*y + 2. Calculate the remainder when g(3) is divided by b.
17
Suppose 3 = 4*m - 9. Let q(v) = v - 4. Let n be q(6). Suppose 0*x = -n*x + 8. What is the remainde