 q.
5
Suppose 3*r - 5*s - 41 = -s, 0 = -4*s + 4. Let d(f) = -f**3 - 5*f**2 + 5*f - 55. What is the remainder when r is divided by d(-7)?
7
Let x(a) = 5*a**2 - a. Let b = 1 + 0. Let o be x(b). Suppose 5*h = 6 + o. What is the remainder when h is divided by 1?
0
Let t(w) = 21*w + 5. Let h be t(3). Let r = h + -15. Calculate the remainder when r is divided by 18.
17
Let c = -801 - -961. Calculate the remainder when c is divided by 81.
79
Let z = 974 + -649. What is the remainder when z is divided by 33?
28
Suppose x + 2*x + 3*p = 15, 3*x = 2*p. Suppose -x*t - 2*t + 5*z = -97, 0 = -3*t - 2*z + 90. Calculate the remainder when t is divided by 15.
13
Suppose 2*s + w = s + 13, 0 = -2*w + 8. Let c(b) = -6*b + 2. Let g(x) = 9*x - 3. Let u(y) = -8*c(y) - 5*g(y). Calculate the remainder when u(s) is divided by 9.
8
Suppose 32 = 4*g + 5*f, 3*f = 16 - 4. Let d be ((-357)/(-4))/((-15)/(-40)). Suppose 0 = g*a - d + 10. What is the remainder when a is divided by 20?
16
Suppose -p = -2*w + 71, -43 = 3*w - 3*p - 151. Calculate the remainder when 93 is divided by w.
23
Calculate the remainder when (34 - 33) + (-75)/(-1) is divided by 13.
11
Suppose 5*l - p - 25 = 0, 3*p + 11 - 2 = 4*l. What is the remainder when (26 - 5)*(0 - -1) is divided by l?
3
Let k be 2/(-3) + (-8)/6. Let b(y) be the third derivative of y**5/15 + y**4/6 + y**3/3 + 4*y**2. Calculate the remainder when b(k) is divided by 6.
4
Suppose -3141*c + 3146*c - 2095 = 0. What is the remainder when c is divided by 70?
69
Let n = -1703 + 1719. Calculate the remainder when 1597 is divided by n.
13
Suppose -10*q = -12*q. Suppose q = 4*i - i. Suppose i = -5*d + 3*d + 22. Calculate the remainder when 19 is divided by d.
8
Let c(j) = 26*j + 19*j + 5*j**2 - 5 - 51*j. Calculate the remainder when c(4) is divided by 13.
12
Let l(x) = -2 - 2 - 1 - 1 - 7*x. Suppose 4*c - 14 = -38. What is the remainder when l(c) is divided by 19?
17
Let x = 61 + 50. What is the remainder when x is divided by 54?
3
Suppose -20 = -i - l + 4*l, 5*i - 28 = -3*l. Let g = 114 - i. What is the remainder when g is divided by 18?
16
Let q = 1560 - 1486. What is the remainder when 193 is divided by q?
45
Suppose -22 + 118 = 4*r. What is the remainder when r is divided by 5?
4
Let u be -5 + 1/(-1) + 1. Calculate the remainder when (-139)/u + (-16)/20 is divided by 10.
7
Suppose 104*v - 36*v = 6936. What is the remainder when 404 is divided by v?
98
Suppose -3*h - 756 = -31*h. What is the remainder when ((-26)/(-3))/((-2)/(-12)) is divided by h?
25
Suppose -2*z + 780 = 63*z. Calculate the remainder when 64 is divided by z.
4
Let f = -2 + 4. Suppose 2*i + f*i - 32 = 0. What is the remainder when 22 is divided by i?
6
Let k(d) = -d**2 + 5*d. Let h be k(5). Suppose -p + n - 6*n + 37 = 0, h = -2*p + n + 52. Let z = 8538 - 8431. Calculate the remainder when z is divided by p.
26
Suppose -5*v - 85 - 25 = 0. What is the remainder when 700/9 + v/(-99) is divided by 27?
24
Let w = 72 - 66. Calculate the remainder when 76 is divided by w.
4
Suppose 5*h - 300 = -0*h. Suppose 0 = 4*l - 3*d + 11 - h, -5*d = 15. Calculate the remainder when 353/9 - (-2)/(-9) is divided by l.
9
Suppose -2*o = 4*r + 160, -3*o - 240 = -0*r - 5*r. Let h = o + 91. What is the remainder when 31 is divided by h?
9
Let t = -6 + 8. Suppose t*r + 104 = 6*r. Let a(z) = -z**3 + 5*z**2 + 3*z - 18. What is the remainder when r is divided by a(3)?
8
Let u(w) = 2*w**2 - 12*w + 25. What is the remainder when 70 is divided by u(5)?
10
Let k be (-3)/(-8) + (-78)/(-48). Suppose -2*u + 4*c = -2, -5*u + k*c = 5 - 18. Calculate the remainder when 31 is divided by u.
1
Let g(j) = -2*j**3 - 2*j**2 + 5*j - 2. Let n be g(2). Let t = 33 - 14. Let u = n + t. What is the remainder when 11 is divided by u?
2
Suppose -4*m - d - 6 = 0, -d = -5*m + 4*d + 5. Let n(c) = 70*c**2 + 2*c + 2. Calculate the remainder when n(m) is divided by 18.
16
Suppose 4*c = -3*y + 97, 3*c - 4*y = -0*c + 79. Let a = 10 - 14. Let l = a - -18. What is the remainder when c is divided by l?
11
Suppose -3*z + 55 = t, 0 = 3*t + 2*z - 54 - 125. What is the remainder when t is divided by 26?
9
Suppose -g + 3*u = -2*g - 12, g - 12 = 5*u. Let p(c) = -2*c**3 - c**2 + 3*c - 2. What is the remainder when p(g) is divided by 12?
10
Suppose 3*a + 0*r = 4*r + 301, -4*r = -20. Suppose -2*t - 9 = -a. What is the remainder when t is divided by 27?
22
Suppose 0 = -3*q - 15, t - 12 = 4*q - 2*q. What is the remainder when 41 is divided by t/(-8) + (-130)/(-8)?
9
Let f = -11 - -13. What is the remainder when ((-9)/(-5) - 1)/(-2)*-10 is divided by f?
0
Suppose 36 = 2*o - 6. Calculate the remainder when 160 is divided by o.
13
Suppose 411 = 4*h + 5*s, -h - 5*s + 97 = -2. Calculate the remainder when h is divided by 15.
14
Suppose 5 + 1 = 6*v. Let a be (10 + 2 - v)*1. Let p(k) = k**3 - 10*k**2 - 10*k - 2. What is the remainder when p(a) is divided by 4?
1
Let b(s) = -2*s**3 - 14*s**2 - 4*s + 3. Let h be b(-7). Suppose 32*i = h*i - 6. Calculate the remainder when 34 is divided by (i/12)/((-2)/36).
7
Suppose 2*t - 84 = -2*t. Let x(g) be the third derivative of -g**6/120 + g**5/60 + 4*g**3/3 + 5*g**2. Calculate the remainder when t is divided by x(0).
5
Let b(f) = 2*f + 2*f**2 - 4*f - f**2 + 11 - 5*f. Suppose 0 = 3*r - x - 0*x - 58, 3*r = 2*x + 59. What is the remainder when r is divided by b(7)?
8
Suppose -4*s = -3*b + 122, 2*s - 7 = -5*b + 179. Calculate the remainder when b is divided by 4.
2
What is the remainder when (-680)/(-22) - 51/(-561) is divided by 16?
15
What is the remainder when (-6)/28 + (-124619)/(-154) is divided by 54?
53
Suppose -90 = -5*h - 3*z, -6*z = -5*h - 2*z + 55. Let l(v) = 4*v - 8. Calculate the remainder when l(16) is divided by h.
11
Suppose 0 = -5*u + 444 + 1116. Suppose 24*n - u = 20*n. What is the remainder when n is divided by 21?
15
Let d(v) = -v**3 - 63*v**2 + 3*v + 210. Let j = -135 - -196. What is the remainder when j is divided by d(-63)?
19
Let k = 501 + -86. Calculate the remainder when k is divided by 52.
51
Suppose r + 30 = 35. Calculate the remainder when 118 is divided by (40/r + -4)*3.
10
Suppose 3*h + h - 52 = 0. Let f = 39 - h. Calculate the remainder when 2/(-5) - 2268/(-45) is divided by f.
24
Let x = 173 + 66. Calculate the remainder when x is divided by 8.
7
Let r = -21 + 19. Let p = 2 + r. Suppose p = -v + 4*v - 39. What is the remainder when v is divided by 4?
1
Suppose -5*x + 80 = -50. Suppose 2*u - 87 = -3*c, 5*u + 4*c = -0*u + 228. Calculate the remainder when u is divided by x.
22
Let l(q) be the second derivative of -8*q**3/3 - 12*q**2 - 4*q. What is the remainder when 278 is divided by l(-4)?
38
Let j = 2188 + -991. Calculate the remainder when j is divided by 75.
72
Let a be -2 - (-8 + 3) - 0. Calculate the remainder when 45 is divided by ((-6)/(9/a))/(6/(-39)).
6
Let v = -556 - -1429. Calculate the remainder when ((-4)/6)/((-2)/162) is divided by v/45 + 2/(-5).
16
Suppose -4*u + 232 = -0*u. Let x be (-18)/(-6) - (5 + -1). Calculate the remainder when u is divided by -2 + 14 - (x - 2).
13
Suppose -21*u + 4*u = -612. What is the remainder when 215 is divided by u?
35
Let k = 402 + -385. What is the remainder when 61 is divided by k?
10
Suppose -46*m - 5*m = -11118. Calculate the remainder when m is divided by 28.
22
Let h = 19 - 6. Calculate the remainder when (-74)/6*((-416)/(-26) + -19) is divided by h.
11
Let g = 13 - 9. What is the remainder when 622/8 - (-1)/g is divided by 20?
18
Suppose i = 134 - 27. Let d(f) = -f**2 + 7*f + 35. Calculate the remainder when i is divided by d(8).
26
Let n = -13 - -21. Let p = -82 - -266. Suppose n*a - p = 4*a. Calculate the remainder when a is divided by 24.
22
Let j = -437 + 447. Let k = 20 + 7. Calculate the remainder when k is divided by j.
7
Let k(q) = -q**3 - 5*q**2 - q. Let h be k(-5). Let a = 23 - h. Calculate the remainder when (-17)/(-2 + a/10) is divided by 22.
19
Let w be (-1261)/(-91) + 1/7. Let p be (50/w + -3)*7. Suppose 4 = -4*o, 4*v - 27 = 3*o - p. What is the remainder when v is divided by 3?
2
Suppose -5*f + 125 = -5*k, f + 2*k - 48 = -14. What is the remainder when 87 is divided by f?
3
Let w(a) = 2*a**2 - a - 2. Let p be w(2). What is the remainder when 55 is divided by (-38)/(-8)*p + -5?
13
Let o = -13 - -15. Suppose o*d = -5*q - 