by 14.
9
Let g(p) = p + 23. Let u be g(0). Let i = -27 + u. What is the remainder when 38 is divided by (-174)/(-21) - i/(-14)?
6
Suppose 0 = -4*b - 5*d + 110, 0*d - 146 = -5*b - 2*d. Calculate the remainder when 388 is divided by b.
28
Let m(f) = -f**2 + 19*f + 45. Calculate the remainder when m(18) is divided by 19.
6
Let t = -32 - -46. Suppose 0 = -13*s + 18*s + 1870. Calculate the remainder when s/(-14) + -5 + 37/7 is divided by t.
13
Let a(s) = -6*s + 239. Calculate the remainder when a(36) is divided by 8.
7
Suppose -2*d = -d + 2. Let v be (9 + -8)/(1/d). Let a(h) = -11*h + 2. Calculate the remainder when 71 is divided by a(v).
23
Suppose 16 = -4*f, 4*f = 5*m + 200 - 71. Let b = -10 - m. Calculate the remainder when 53 is divided by (b/3)/(2/6).
15
Suppose -2*w + 39 = 3*r, -r - 3*w + 64 = 4*r. Suppose 4*l = -2*y + 82, l - 1 = -2*y + 24. Calculate the remainder when l is divided by r.
8
Suppose 26*s - 1548 = -17*s. What is the remainder when 195 is divided by s?
15
Suppose -1187 + 3482 = 3*j. What is the remainder when j is divided by 32?
29
Let k = -29 + 43. Suppose 0 = 3*h + 2*r - k, -4*r = -3*h - 0*h + 26. Suppose -4*b = -0*b - 40. What is the remainder when b is divided by h?
4
Let f = -14 + 11. Let p be f/2*(-10)/3. Suppose 0 = q - p, s - 3*q + 22 - 64 = 0. Calculate the remainder when s is divided by 12.
9
Let p(h) = -h**2 + 3*h + 1. Let y be p(4). Let n(l) = -l**3 - 2*l**2 + 3*l + 4. Calculate the remainder when (-4)/(28/(-7)) - -4 is divided by n(y).
1
Suppose j = -4*f + 2*j - 67, -2*f = -4*j + 16. Let r = -19 + 43. What is the remainder when r is divided by (-48)/f*(1 - -2)?
0
Let z = -8 + 20. Suppose -z*b + 64 = -8*b. Suppose -b*o = -12*o - 68. Calculate the remainder when o is divided by 9.
8
Let r be -2 - -2*(-2)/(-2). Suppose -3*k + k = r. Suppose k = 2*m - 0*m - 28. What is the remainder when m is divided by 5?
4
Suppose 6*f - 224 = 34. Suppose 4*k - f = 3*k. Suppose 3*d - k = -7. What is the remainder when 22 is divided by d?
10
Let u = 170 + -10. Suppose 4*y = 8*y + u. Let s = -33 - y. What is the remainder when 10 is divided by s?
3
Suppose 0 = x - 1, 3*x + 1 = h - 5. Suppose 3*d - 5*o = 1 + h, -3*d - 4*o = -46. Calculate the remainder when 27 is divided by d.
7
Let o be (2/5)/(4/20). Suppose -o*a + 5 = 3*w - 25, 4*a = 0. Calculate the remainder when 16 is divided by w.
6
Let y(d) = d**3 + 48*d**2 + 47*d + 36. Let k = 344 + -203. Calculate the remainder when k is divided by y(-47).
33
Let h = -261 - -268. Let c(p) = -5*p + 6. What is the remainder when c(-4) is divided by h?
5
Let z(m) = -19*m - 296. Suppose -2*w + 200 = 3*w. Let l = w - 3. What is the remainder when l is divided by z(-16)?
5
Let c = 104 - -68. What is the remainder when c is divided by 44?
40
Let z = -73 + 76. Calculate the remainder when 4*43 + z/((-21)/(-14)) is divided by 35.
34
Let i(n) be the first derivative of -n**3/3 - 7*n**2/2 + 11*n + 1. Calculate the remainder when (-42)/12*(-270)/105 is divided by i(-8).
0
Calculate the remainder when 19 is divided by (1/(-2) + -3)*24/(-14).
1
Let u(m) = 2*m + 12. Suppose -v - 4 = -7*z + 6*z, 3*v - 3 = 0. Suppose -197 + 2 = -3*g. Calculate the remainder when g is divided by u(z).
21
Let m(o) = o**3 + 8*o**2 + 3*o - 2. Let y be (-14)/(-56) - 22/(-8). Suppose y*a - 7 = -19. What is the remainder when m(a) is divided by 26?
24
Let q(c) = 8*c**2 - 13*c - 2. Let f(i) = 7*i**2 - 12*i - 2. Let x(l) = -7*f(l) + 6*q(l). Calculate the remainder when 28 is divided by x(4).
8
Calculate the remainder when 622 is divided by ((-2808)/126)/((-2)/7).
76
Let g = 65 + 5. Let m = -33 + g. Let o = 32 - 19. What is the remainder when m is divided by o?
11
Suppose -158*t = -4*l - 157*t + 2035, t - 1 = 0. What is the remainder when l is divided by 57?
53
Suppose 2*n = -q, -65*q = -69*q + n + 9. Calculate the remainder when 41 is divided by q.
1
Let g(y) be the second derivative of y**5/20 - y**4/4 - 3*y**3/2 + 5*y**2 - 16*y. What is the remainder when 56 is divided by g(5)?
11
What is the remainder when 160 is divided by ((-8)/(-6))/(84/3213)?
7
Suppose 2*f = -3*o + 274, -98 = 2*o - 3*o - 2*f. Let b = 100 - o. What is the remainder when 23 is divided by b?
11
Suppose 5*f - 409 + 29 = 0. What is the remainder when f is divided by 6?
4
What is the remainder when -1 + 10/6 - (-424)/12 is divided by 20?
16
Let h(r) = r - 2. Let f be h(2). Suppose i + 3 = 5*v - 30, -4*v + 3*i + 22 = f. Calculate the remainder when 33 is divided by v.
5
Suppose -5*v - 969 = -1039. Calculate the remainder when 207 is divided by v.
11
Let f = 35 + -31. Suppose -2*i - 52 = -f*p, -2*i + 6*i = 16. Calculate the remainder when 56 is divided by p.
11
Let l(j) = 9*j - 2. Let s be l(-6). Let c = 78 + s. Let f = c - -3. What is the remainder when f is divided by 7?
4
Let z(l) = -7*l + 5. Let f be z(-4). Suppose 3*b = f + 69. What is the remainder when 64 is divided by b?
30
Let p(g) = 23*g - 17. Let b(z) = -70*z + 52. Let q(a) = 5*b(a) + 16*p(a). What is the remainder when q(6) is divided by 25?
21
Suppose -5*n = -20*n + 180. Calculate the remainder when ((-36)/(-16))/((-3)/(-56)) is divided by n.
6
Let k = -5 + 8. Suppose -4*q + 30 = -a - 215, -2*q + 2*a = -118. Suppose 5*h + 4*v - 99 = 0, 2*h - k*v - q = v. What is the remainder when h is divided by 6?
5
Suppose 227*o + 42 = 228*o - 2*m, -4*o + 201 = 3*m. Calculate the remainder when 170 is divided by o.
26
Let h(l) = -4*l**2 + 5*l + 1. Let c be h(-3). Let b = 54 + c. What is the remainder when 13 is divided by b?
1
Let y(q) = -3*q**3 + 3*q**2 + 3*q + 2. Suppose 20*b - 4*m - 36 = 16*b, -4*m - 14 = -2*b. Calculate the remainder when y(-2) is divided by b.
10
Let t(b) = -b**3 - 12*b**2 - 13*b - 3. What is the remainder when t(-11) is divided by 2?
1
Let k = -15 - -36. Suppose 49 + k = 2*w. What is the remainder when w is divided by 20?
15
Suppose -2*r - 1 = -r. Let h = 40 + -32. Let d = h - r. Calculate the remainder when 25 is divided by d.
7
Let j(b) = b**2 - 20*b + 117. What is the remainder when j(8) is divided by 8?
5
Suppose -9*z + 95 + 22 = 0. Calculate the remainder when 38 is divided by z.
12
Suppose 5*g - 604 = -2*h, -547 = -3*g - 5*h - 196. What is the remainder when g is divided by 59?
4
Let h = 14 - 5. Suppose 0 = -q - h + 11. Suppose -3*m + 2*m = -2*r - 66, 0 = 4*m - q*r - 282. What is the remainder when m is divided by 19?
15
Let b = -21 + 56. Let g = -101 + 141. Suppose d - 3*h - 60 = -3*d, h + g = 3*d. What is the remainder when b is divided by d?
11
Let q = 118 - 109. Calculate the remainder when 54 is divided by 404/36 + ((-11)/q - -1).
10
Suppose -5*t + 20 = -4*r - 6*t, 4*r + 16 = -2*t. What is the remainder when 92 is divided by 16/((-1)/r*4)?
20
Suppose 4*q + 4*f = 124, 2*f + 4 = -2*f. What is the remainder when 123 is divided by q?
27
Suppose -302 = -w - 23*q + 19*q, -3*w + 851 = q. What is the remainder when w is divided by 57?
54
Let o = 37 + -34. Suppose 269 - 108 = 2*j - o*n, -3*j + 239 = -4*n. Let d = j - 51. What is the remainder when d is divided by 9?
4
Suppose 4*o = -2*x + 666, 0 = -4*x + 6*o - o + 1293. Calculate the remainder when x is divided by 55.
52
What is the remainder when (0 - -1)/((-1)/(-87)) is divided by 432/60*45/27*2?
15
Let f(y) = -y**2 - 8*y + 8. Let p be f(-9). Calculate the remainder when 58 is divided by p/(1/(-10))*2.
18
Let u(c) = 3*c + 55. What is the remainder when 440 is divided by u(-7)?
32
Let c be 7/(70/(-4)) + (-357)/(-5). Let u = 94 - c. What is the remainder when 68 is divided by u?
22
Let u(r) = r**2 + 2*r - 19. Suppose 0 = c - 2*j + 12, 0 = -4*c + 3*j - 6*j - 26. Calculate the remainder when u(c) is divided by 16.
13
Let n be 3*1*3/((-6)/(-2)). Suppose 20 = 3*c - c + 4*p, -3*p = -n. What is the remainder when 23 is divided by c?
7
Suppose 2*q = 4*u + 6 - 34, 0 = -2*u - 2*q + 20. Suppose -u*a + 16 = -7*a. Suppose 0 = -4*g + 4 + 20. What is the remainder when a is divided by g?
4
Suppose -282 = -28*x + 22*x. Calculate the remainder when x is divided by 8.
7
Let t(m) = 13*m**2 + 5*m + 5. Let l = -53 - -37. Let g = 26 + l. What is the remainder when t(-2) is divided by g?
7
Suppose -6*w - 70 = -13*w. Suppose -5*n + w = -55. What is the remainder when 64 is divided by n?
12
Let o = 85 + 41. Calculate the remainder when o is divided by 13.
9
Suppose 0 