, 5*a - 55 = -5*u. Let x(p) = -3*p + 22. Let q be x(0). Suppose f - q = 17. Calculate the remainder when f is divided by u.
9
Suppose -r = -0 - 4. What is the remainder when 50 is divided by (702/(-21))/(-2) - r/(-14)?
16
Let t = -21 + 39. Let u = -1095 + 1100. What is the remainder when t is divided by u?
3
Let f(h) = -2*h + 8. Suppose -108 = -14*n + 116. Calculate the remainder when f(-16) is divided by n.
8
Suppose 4*w + 6 = 42. Suppose 0 = 5*a + 48 - 213. What is the remainder when a is divided by w?
6
Let o = 981 + -967. Calculate the remainder when o is divided by 8.
6
Let i(q) = -6*q - 3 + 2*q - 3 + 5. What is the remainder when i(-9) is divided by 22?
13
What is the remainder when 42 is divided by 18 - (24/80 - 86/20)?
20
Let a(r) = r + 7. Let x be a(-7). Suppose 0 = -x*p + 6*p + 12. What is the remainder when 6 is divided by (-7)/p + (-4)/8?
0
Suppose 4*v - 80 = -4. Calculate the remainder when 531 is divided by v.
18
Let f = 327 - 238. What is the remainder when 184 is divided by f?
6
Let n(m) = -42*m**3 - 3*m**2 - 5*m + 10. Calculate the remainder when n(-3) is divided by 27.
25
Let c = 1378 - 1317. Calculate the remainder when 2073 is divided by c.
60
Suppose -26 = -2*x + x. Suppose 4*g = x + 38. Let w = 10 - -20. What is the remainder when w is divided by g?
14
Suppose -3*f + 68 = 5*r, -52*r - 2*f + 28 = -50*r. What is the remainder when 129 is divided by r?
12
Let x = -11 - -15. Suppose -4*t - 36 + 100 = x*y, -3*t + 56 = -y. Calculate the remainder when t is divided by (30/9)/((-1)/(-3)).
8
Let g(b) = -b**3 + 5*b**2 + 2*b - 12. Let l be g(5). Let q be l/(-10) - 192/(-40). Suppose 44 = q*o - o. Calculate the remainder when 42 is divided by o.
9
Let o(d) = 15*d - 2. Let l be o(-2). Let z = 50 + l. What is the remainder when z is divided by 11?
7
Let a(u) = u**3 + 51*u**2 + u + 78. Let f = 6 - 0. Calculate the remainder when a(-51) is divided by f.
3
Suppose 5*w = 45 + 20. Let t = -67 - -72. Let h(i) = -i**3 + 4*i**2 + 13*i - 4. What is the remainder when h(t) is divided by w?
10
Suppose -155*t + 612 = -143*t. Suppose 0*n - 5*n + 10 = 0. Suppose -5*o = 2*y - 26, 4*o = -y + 11 + n. What is the remainder when t is divided by y?
12
Let o = -2 - -12. Suppose -38 = 5*d + 12. Let t(i) = -i**3 - 10*i**2 + 6. What is the remainder when o is divided by t(d)?
4
Let a be -8*(-1)/((-2)/(-21)). Let n = a - 30. Calculate the remainder when n is divided by 14.
12
Let w(y) = y**2 - 6. Let x(n) = -3*n**3 - 25*n**2 - 6*n - 7. Let p be x(-8). Let o = p - -78. Calculate the remainder when o is divided by w(-5).
17
Let s(u) = -28*u**2 - 7*u - 7. Let k(j) = -3 - 5*j - 19*j**2 - 5 + 0*j + 3. Let l(v) = 7*k(v) - 5*s(v). Calculate the remainder when l(-3) is divided by 16.
15
Let d(u) = u**2 - 6*u - 3. Let i be d(-7). Suppose 4*k - 8*k = -i. What is the remainder when k is divided by 8?
6
Suppose 1 = -4*w + 13. Suppose 72 = -v + w*v. Suppose -1658*y = -1650*y - 104. What is the remainder when v is divided by y?
10
Let t = 114 - 115. What is the remainder when 63 is divided by 4 + ((-16)/4)/t?
7
Let o(b) = 2*b + 38. Let p be o(-18). Calculate the remainder when -3*(-3836)/72 + p/12 is divided by 23.
22
Let u = 69 + -28. Let a = -1123 - -1285. Calculate the remainder when a is divided by u.
39
Suppose -9*c - c + 1080 = 0. Calculate the remainder when c is divided by 58.
50
Suppose -3*z + 136 = -z + 5*t, -244 = -4*z + 4*t. Let n(q) = q**3 - 3*q**2 + 3*q + 5. What is the remainder when z is divided by n(4)?
30
Let n be 0 + 16/(-4) - 0. Let s(h) = -h**3 - 5*h**2 - 5*h. Calculate the remainder when 15 is divided by s(n).
3
Let c = -18 + 77. Suppose -5*s = -194 + 49. Let a = -9 + s. Calculate the remainder when c is divided by a.
19
What is the remainder when -22 + 62 - (2 - 0) is divided by (-8 - -5)/(2/(-14))?
17
Let r = -3591 - -6248. Calculate the remainder when r is divided by 10.
7
Suppose 0 = 6*t - 27 - 9. Let f(v) = 5*v + 1. Calculate the remainder when 92 is divided by f(t).
30
Suppose 0 = 3*x + 5*n - 20, 2*x - 3*n - 7 = -0*n. What is the remainder when 18 is divided by x?
3
Let q be 105/14*(-6)/(-9). Suppose 2*x - 322 = -4*i - 0*i, 0 = -4*i + q*x + 343. What is the remainder when i is divided by 21?
19
Let p be 1/2*(1*24 - 2). Suppose -2*g + w = -58, 0 = 2*g + w - 55 - p. Calculate the remainder when g is divided by 16.
15
Suppose 4*f = -2*i + 258, -3*i - 2*f = -96 - 291. What is the remainder when i is divided by 13?
12
Let x(o) be the second derivative of -o**3/3 + 23*o**2/2 + 13*o. Calculate the remainder when 163 is divided by x(-9).
40
Let t(w) = w**3 + 24*w**2 - 26*w - 1. Calculate the remainder when t(-25) is divided by 2.
0
Suppose -749 = -2*m + f, -3*f = 5*m - 2517 + 650. What is the remainder when m is divided by 15?
14
Let j = -289 - -318. What is the remainder when 84 is divided by j?
26
Suppose -6*f + 40 = -4*f. Suppose -f = b - 95. Let w = -12 + 31. Calculate the remainder when b is divided by w.
18
Suppose 5*b - 1030 = -5*w, 405 = -w + 3*w - 5*b. Let s = 342 - w. Calculate the remainder when s is divided by 46.
45
Let g(d) = d**3 + 8*d**2 + 7*d. Suppose 0 = -12*s + 2695 - 847. Let k = -146 + s. Calculate the remainder when g(-6) is divided by k.
6
Let i = 15 - -27. Let x = i - 38. Suppose m + 5*f - 12 - 5 = 0, 5*m - 114 = x*f. What is the remainder when 62 is divided by m?
18
Suppose -32*c + 34*c - 2*j = 784, 5*c + 3*j - 1968 = 0. Calculate the remainder when c is divided by 9.
6
Suppose -k + 50 = -11. Calculate the remainder when 116 is divided by k.
55
Suppose -1 + 2 = n, 4*w - 5*n = 47. Calculate the remainder when w is divided by 9.
4
Suppose 2*j + 5*b = 283, -5*j + 428 + 266 = -b. What is the remainder when j is divided by 43?
10
Let c be 19/3 + -1 + 19/(-57). Let j = c - -29. What is the remainder when 269 is divided by j?
31
Let m(n) = n**2 + 9*n. Let y be m(-6). Let t = -15 - y. Suppose 5*x = -20, 2*f - f - 18 = t*x. What is the remainder when 20 is divided by f?
2
Let y = -2644 - -2830. Calculate the remainder when y is divided by 72.
42
Suppose -2*k = -5*l - 4*k + 4, 4*k = -3*l + 8. Let v(b) = -b + 29. What is the remainder when 173 is divided by v(l)?
28
Suppose -s = -5*y + 9, -3 - 2 = -5*y + 5*s. Let v be (1/3)/(1/39). Suppose -5*r = -y - v. What is the remainder when r is divided by 1?
0
Let v(t) = -t**3 + 4*t**2 + 18*t + 14. Let q be v(-12). Suppose 0 = -4*o - 20, -4*p = -o - q + 561. Calculate the remainder when p/(3 + 0) - 1 is divided by 26.
23
Let a(u) = u**2 + 20*u + 86. What is the remainder when 1572 is divided by a(-17)?
32
Let o(f) = -2*f + 12. Let i be o(7). Calculate the remainder when (130/(-8))/((-2)/8) is divided by i - 19*(-5 - -4).
14
Let f(i) = 2*i**3 - i**2 - 2*i - 3. What is the remainder when 178 is divided by f(3)?
34
Suppose 0 = -a - 15 + 19. Suppose 251 = 5*k - a*n, -3*n - 9 = -2*k + 90. What is the remainder when 253 is divided by k?
49
Suppose 0 = -2*z - 0*z - 4*c + 70, -4 = 2*c. Let p be -545*32/(-300) - 4/30. Let k = p - z. Calculate the remainder when k is divided by 5.
4
Let h = -162 - -369. What is the remainder when h is divided by 30?
27
Suppose 3*n - 13*b - 44 = -11*b, 5*b = -4*n + 28. Let p = 34 - -22. What is the remainder when p is divided by n?
8
Suppose d = 2*d - 48. Let w be 8*3/(d/52). Suppose 38 + w = 4*p - 3*a, 5*p - 73 = 2*a. What is the remainder when 38 is divided by p?
12
Suppose 522 = 19*k - 143. What is the remainder when 57 is divided by k?
22
Let b be 4/6 - (-406)/3. Calculate the remainder when 19 is divided by 3/4 + b/32.
4
Suppose 3*k = -h + 50, 5*k = -5*h + 3*h + 97. Calculate the remainder when 202 is divided by h.
38
Suppose 28*x - 66 = 17*x. Calculate the remainder when 117 is divided by x.
3
Suppose -6*m + 87 = -87. Let x(i) = -i**2 + 6*i. Let v be x(7). Let q = v - -91. Calculate the remainder when q is divided by m.
26
Let n = -1173 - -1218. Calculate the remainder when n is divided by 23.
22
Let o(v) = v - 4. Let x be o(3). Let s = x + -7. Calculate the remainder when 18 is divided by 7 - (2 - s/(-4)).
4
Let c = 24 + -14. Let n be (-3)/15 - (-2)/c. Let w(r) = -r**2 + r + 10. What is the remainder when 29 is divided by w(n)?
9
Let i(c) = -2*c**3 - 16*c**2 + 15*c. Let u(a) = a - 1. What is the remainder when i(-9) is divided by u(8)?
6
Let o(d) = -55*d + 4. Calcu