f.
97
Let s = -17 - -20. Suppose 0 = 4*n - 4*w + 2*w - 24, 5*w + 11 = s*n. Calculate the remainder when 34 is divided by n.
6
Let y be 3*(-2 + 1) - (22 - 39). Let g(q) = 9*q**2 + 2*q + 2. Let c be g(-2). Let v = c - y. Calculate the remainder when 78 is divided by v.
18
Suppose -89 = -2*u + w, -2*u + 4*w + 86 = 2*w. Let x = u - 8. What is the remainder when x is divided by 6?
2
Let g be (-6 - -7)*4/2. Let t be (-4 - 4)/g - 0. Let c = 16 + t. What is the remainder when 47 is divided by c?
11
Let d be (6/15 + -4)/((-6)/(-20)). Let w = 29 + d. Calculate the remainder when w is divided by 5.
2
Suppose 9*o + 276 = 348. Suppose -y + 0 = -1. Suppose z - 2*q = 1, 3*z - 3 - y = 5*q. Calculate the remainder when o is divided by z.
2
Let p(g) = g**2 - 10*g + 9. Suppose -22 = -3*w - 0*w + 4*j, 0 = -2*j - 2. Let q be p(w). Let a = 24 + q. What is the remainder when 34 is divided by a?
7
Suppose -2*u - 2*q + 290 = 0, 3*u + 0 = 4*q + 470. What is the remainder when u is divided by 38?
36
Suppose 2*b - u = 450, 20 = 10*u - 5*u. What is the remainder when b is divided by 58?
53
Let z = 664 - 556. What is the remainder when z is divided by 52?
4
Let n = -283 + 381. Calculate the remainder when n is divided by 32.
2
Suppose 2*w - 5*u = 48, -2*w - 3*u = u - 48. What is the remainder when 350 is divided by w?
14
Let o(a) = 15*a**3 - 2*a**2 + 1. Let x be o(1). Let w = -246 - -250. Suppose -15 = 3*u, -4*u + x = -w*l + 54. Calculate the remainder when 18 is divided by l.
3
Let a(y) = y**3 + 19*y**2 + 36*y + 64. What is the remainder when 147 is divided by a(-17)?
27
Let f(w) = -14*w + 315. What is the remainder when f(6) is divided by 58?
57
Let b(f) = -f - 4. Let z(j) = j**2 + 5*j - 13. Let v(i) = -i + 2. Let h be v(9). What is the remainder when b(-7) is divided by z(h)?
0
Let a(y) = -y**3 + 8*y**2 - 7*y - 3. Let i = -58 + 34. Calculate the remainder when a(6) is divided by (-364)/i - (-2)/12*-1.
12
Suppose 0 = h - 4*z + 4 + 2, -30 = 5*h + 4*z. Let b(w) = -8*w + 7. Let d be b(h). Suppose 2*n = d + 75. What is the remainder when n is divided by 17?
14
Let f(p) be the second derivative of p**5/20 + p**4/12 + p**3/3 + 37*p**2/2 - 23*p. What is the remainder when 106 is divided by f(0)?
32
Calculate the remainder when 43 is divided by (6 - 2)/((8/(-36))/(-1)).
7
Let w(b) = b + 26. Calculate the remainder when w(5) is divided by 3.
1
Let u(v) = v**2 - v - 3. Let l(w) = w**3 + 3*w**2 - 3*w + 7. Let s be l(-4). Calculate the remainder when (-301)/(-3) + (s - 10/3) is divided by u(5).
15
Suppose 0 = -2*s - 1755 + 2615. What is the remainder when s is divided by 18?
16
Calculate the remainder when (-377)/(-39)*(4 - (3 - 2)) is divided by 25.
4
Suppose -122 = -5*m - z, z = -0*z + 2. Let n(r) = -r**3 - 7*r**2 + 25*r + 206. Calculate the remainder when n(-8) is divided by m.
22
Let y be 417/9 + (-4)/3. Let j = y - 14. Let f = j - 25. What is the remainder when f is divided by 3?
0
Let v(r) = 16*r + 831. What is the remainder when 373 is divided by v(-51)?
13
Suppose -3*j - 10 = -j. Let g(r) = 2*r**3 + 12*r**2 + 8*r + 5. Calculate the remainder when 59 is divided by g(j).
14
Suppose 0 = 5*n - 0*q + 5*q - 2745, -5*n + 2700 = -4*q. What is the remainder when (n/(-4))/(-4) - 0 is divided by 19?
15
Let k = -10 - -18. Let u be (-2 + 6)/((-12)/(-15)). Suppose z = -0*z + u. What is the remainder when k is divided by z?
3
Let t = 0 - -75. Let r = 128 - t. What is the remainder when r is divided by 11?
9
Suppose 133 = y - 0*k - k, 5*y - 3*k = 671. Suppose q = 5*q - y. What is the remainder when q is divided by 12?
10
Let g = -61 - -76. Suppose 3*m + n = 20, 0 = 4*m + 6*n - 11*n - 52. What is the remainder when g is divided by m?
7
Let n be 1 + (-3)/6 - 217/(-14). What is the remainder when 39 is divided by n + 14 + (2 - 2)?
9
Let r(v) = 53*v**2 - 6*v + 8. Let t be r(2). Suppose 2*f = -i + 104, 7*f - i = 3*f + t. Suppose -l = 3*l - 44. What is the remainder when f is divided by l?
8
Suppose -6*x + x = -440. Calculate the remainder when x is divided by 13.
10
Suppose -1 = -3*o - 7. Let m(d) = d**2 + 6*d - 1. Let j(l) = l**2 + l. Let s(b) = 4*j(b) - m(b). What is the remainder when s(o) is divided by 9?
8
Suppose 5*k + 0 = -15. Let v(f) = 6*f**2 - 2*f + 1. Let m(n) = -n**3 - 12*n**2 - 16*n - 23. What is the remainder when v(k) is divided by m(-11)?
29
Suppose -133 = -15*w + 2. Let d = 97 - 65. Calculate the remainder when d is divided by w.
5
Suppose q - 13 = 3*p, -p = -0*p - 1. Let g = q + -13. Suppose 2*z + g = 15. Calculate the remainder when 14 is divided by z.
2
Let t = -183 + 301. Calculate the remainder when t is divided by 15.
13
Let y = -618 + 947. Suppose 3*h + y = -5*l, l + 488 + 53 = -5*h. Calculate the remainder when h/24*20/(-3) is divided by 11.
8
Suppose -5*b = 4*k - 223, 11*b + 15 = 8*b. Calculate the remainder when k is divided by 13.
10
Suppose 0 = 5*f + 4*h - 6, 0 = f + 5*h + 3. Suppose -8*x + f*x + 156 = 0. What is the remainder when x is divided by 14?
12
Suppose 26 + 9 = 7*h. Suppose 0*i - h = i. What is the remainder when ((-6)/i)/((-1)/(-5)) is divided by 3?
0
Suppose 2*r + 40 = 6*r. Let g = r - 6. Suppose -g*t = -0*t - 208. Calculate the remainder when t is divided by 14.
10
Let u(o) be the second derivative of o**5/20 - o**4 - 6*o. Let r be u(12). Suppose 4*w + 0*w - 12 = r. Calculate the remainder when w is divided by 2.
1
Let w(b) = 0 + 1 + 0 + b**2 + 2 + 2*b. Calculate the remainder when w(-10) is divided by 21.
20
Let x(t) = 2*t**3 + 51*t**2 + 10*t - 110. What is the remainder when x(-25) is divided by 89?
87
Let o(x) = 3*x**3 - 2*x**2 - 2*x - 6. Let r be o(5). Suppose h = -2*h + r. What is the remainder when h is divided by 26?
25
Let n be (34/(-7))/(1/(-7)). Suppose -59 = -u - u + t, -4*t + n = 2*u. Let p = -16 + 31. Calculate the remainder when u is divided by p.
12
Suppose 0 = 7*i - 1703 + 261. Calculate the remainder when i is divided by 35.
31
Let o be (-6)/(-10) + 13/(-5). What is the remainder when 36 is divided by o/((-56)/26 + 2)?
10
Let g(i) = -5*i - 2. Suppose y + y - 82 = 0. Suppose 5*l + 64 = 3*q, 0*q + 5*l + y = 2*q. Calculate the remainder when g(-9) is divided by q.
20
Suppose -144 = -94*b + 85*b. Calculate the remainder when 64 is divided by b.
0
Suppose 3*q + l = -0*q + 33, 0 = q - 3*l - 1. Suppose -4*a + q = -18. Calculate the remainder when 26 is divided by a.
5
Suppose -219*g + 225*g = 486. Calculate the remainder when 646 is divided by g.
79
Suppose 39 = v - 2*y + 1, -2*v + y + 67 = 0. What is the remainder when v is divided by 60/8*(-18)/(-15)?
5
Suppose 4*h = o + 5, 2*h - 6*h + 38 = 2*o. Calculate the remainder when 102 is divided by o.
3
Let t(c) = c**2 + 40*c + 95. What is the remainder when 853 is divided by t(-40)?
93
Suppose 0 = v - 5*b - 28, -2*v + b - 5*b = -98. What is the remainder when 250 is divided by v?
35
Suppose -124*l + 96*l = -980. Let n = 24 + -43. Let r = n + l. Calculate the remainder when 63 is divided by r.
15
Let w = 59 + -55. Suppose 3*l + 0*i - 30 = 3*i, -5*l + 86 = w*i. Calculate the remainder when 17 is divided by l.
3
Suppose 0*y + 2*y - 315 = c, -324 = -2*y - 2*c. Calculate the remainder when y is divided by ((-2)/(-4))/((-1)/(-54)).
24
Let g(x) = -14*x + 257. Calculate the remainder when g(17) is divided by -2 - (-6)/2 - -4.
4
Suppose 4*d - 5*d = 2*o - 32, 2*o = 0. What is the remainder when 66 is divided by d?
2
Let h = -124 - -152. Calculate the remainder when h is divided by 18.
10
Suppose 0 = -19*f + 61*f - 1470. Calculate the remainder when f is divided by 2.
1
Suppose 4 = -u - 0*u - 5*q, -3*q = u. Let k = -65 - -100. What is the remainder when k is divided by (-4)/u - 59/(-3)?
16
Suppose -20 = -5*v + 105. Calculate the remainder when v is divided by 16 + 0 + (24/2)/(-4).
12
Suppose -6*f + 5*f + 110 = 3*d, -3 = -3*d. Calculate the remainder when f is divided by 36.
35
Let m = -446 + 632. Calculate the remainder when m is divided by 43.
14
Let a = -9 + 18. Let d(n) = n**2 - 7*n + 10. Let f be d(7). What is the remainder when a is divided by f/(-1)*(-18)/30?
3
Let s = -8 - -6. Let q(f) = -10*f - 7. Calculate the remainder when 37 is divided by q(s).
11
Let c = 35 + -61. Let f = c + 28. Suppose -f*d = -u + 16 - 39, 2*u = -4*d + 66. What is the remainder when d is divided by 5?
4
Suppose -2*x + 0*k 