).
5
Let b(k) = -16*k - 313. Calculate the remainder when b(-69) is divided by 36.
35
Suppose 5*a - 5*i + 12 = -33, 3*i - 41 = 4*a. Let r(j) = -j - 11. Let z be r(a). What is the remainder when 117 is divided by -1 + -1 + z + 29?
27
Calculate the remainder when 28 is divided by ((-4)/10)/((-243)/60 + 4).
4
Let f(t) = -34*t - 219. Calculate the remainder when -2 - ((-148)/(-2))/(-2) is divided by f(-7).
16
Suppose z - 5*s = 224, -2*s - 914 = z - 5*z. What is the remainder when z is divided by 47?
41
Let o = 134 + -132. Suppose u - 4 = -2*m + 4, -2*m + o*u + 20 = 0. Let b(z) = 4*z - 2. What is the remainder when b(3) is divided by m?
4
Calculate the remainder when (-10353)/(-315) - (-4)/30 is divided by 152/16 + (-2)/4.
6
Let y(r) = -2*r - 9. Let u be y(-7). Suppose 2*m - m - 26 = -u*v, 4 = 4*m. Suppose 0 = -v*c + 46 - 16. Calculate the remainder when 17 is divided by c.
5
Let d(i) be the third derivative of i**6/120 + 11*i**5/60 + 11*i**4/24 + 5*i**3/2 - 6*i**2. Let c = -26 + 31. What is the remainder when c is divided by d(-10)?
0
Let u = -8 + -7. What is the remainder when -6 + 5 + 0 + 51 is divided by (-69)/(-4) - (-1 - u/12)?
16
Suppose -20 = -5*d, 66 = 78*p - 76*p + d. Suppose 4*j = -136 + 604. Calculate the remainder when j is divided by p.
24
Let i be ((-2 - -2)/1)/(-1). Suppose i*g + 4*g + 56 = 0. Let r = 0 - g. Calculate the remainder when r is divided by 5.
4
Let p = -75 + 108. Suppose 14799*x = 14812*x - 793. Calculate the remainder when x is divided by p.
28
Suppose -r = -62 - 64. What is the remainder when r is divided by 43?
40
Let i(w) = w**2 + 4*w + 5. Let k be i(-4). Suppose 3*b + 3*u = 51, k*b = 2*u - u + 73. What is the remainder when 57 is divided by b?
12
Suppose 4*a - 35 = 3*t, -95*a = -94*a + 4*t - 4. Let u(f) = -f - 7. Let o be u(-6). Calculate the remainder when (44/16)/(o/(-8)) is divided by a.
6
Let p = 2256 - 2232. Let w(v) = -4*v - 3. Let h(d) = d. Let s be h(-2). What is the remainder when p is divided by w(s)?
4
Let c be ((-26)/4 - 0) + (-7)/(-14). Suppose -12 + 81 = -3*g. Let v = c - g. Calculate the remainder when 67 is divided by v.
16
Suppose v = -3*v + 116. What is the remainder when v is divided by (95/20)/(4/16)?
10
Suppose 0 = 12*m - 582 - 534. Calculate the remainder when m is divided by 19.
17
Let h(o) = -o + 21. What is the remainder when 138 is divided by h(7)?
12
Suppose 3*q = -4*v - 107, 0*q - 5*q - 175 = 5*v. Let b = q - -72. Calculate the remainder when b is divided by 14.
11
Suppose 58 = 3*c + u, 5*c + 3*u - 100 = -2*u. What is the remainder when 94 is divided by c?
18
Let h(v) = 6*v - 1. Let m = -55 + 38. Let q = m - -58. What is the remainder when q is divided by h(2)?
8
Let r(a) be the third derivative of a**5/30 - a**4/4 - 5*a**3/6 + 4*a**2. Let q be r(7). Suppose 138 - q = 3*l. Calculate the remainder when 57 is divided by l.
28
Suppose -s - 5*z + 73 = 0, -5*s - 4*z = -0*s - 281. Suppose -2*h + 3 = 9, -h = 4*i - s. Calculate the remainder when i is divided by 6 + (-2 - (-2 - 2)).
6
Let u = -593 - -747. What is the remainder when u is divided by 52?
50
Suppose 30*d - 38*d + 128 = 0. Calculate the remainder when 167 is divided by d.
7
Let l = -12 + 60. What is the remainder when l is divided by ((-33)/(-6) - -3)*2?
14
Suppose 7*v - 4*v = 126. Suppose -v = -2*i - b, 0 = 3*i - 3*b - 55 - 26. Calculate the remainder when i is divided by -1 + (49/7 - 0).
5
Let n(g) = 69*g**2 - g. Let z(u) = u + 3. Let m be z(-4). What is the remainder when n(m) is divided by (30/(-8))/(65/(-312))?
16
Let a(r) = -r - 4. Let q be a(1). Let h = 18 + q. Suppose -4*i = -6*i + 98. What is the remainder when i is divided by h?
10
Let z = -34 - -35. Calculate the remainder when 124 is divided by (19 - 1)*(z + 0).
16
Suppose -2162 = 9*m - 32*m. Calculate the remainder when m is divided by 32.
30
Suppose 3*d - 61 = -5*j + 4*j, j - 56 = -4*d. Calculate the remainder when j is divided by 16.
12
Let l = 3 + 2. Suppose 5*n - 367 = -3*v, 10*v + l*n - 595 = 5*v. Suppose -2*c = 2*f + c - 70, -f - 2*c + 37 = 0. Calculate the remainder when v is divided by f.
27
Suppose -3*h = 8*n - 4*n - 113, -5*h = 4*n - 191. Calculate the remainder when 117 is divided by h.
0
Suppose 5*z = 3*r + 460, -2*r = 5*z + 93 + 197. Let n = -106 - r. What is the remainder when 131 is divided by n?
43
Suppose h + 3 = -1. Let k(x) = 2*x**2 - 1. Let v(w) = w**2 - 3*w + 1. Let m(a) = 2*k(a) - v(a). What is the remainder when m(h) is divided by 12?
9
Let n = -350 + 436. Calculate the remainder when n is divided by 17.
1
Suppose -4*j = -1 + 5. Let g = j + 0. Let w = g + 81. What is the remainder when w is divided by 27?
26
Let l(z) = -z**2 + 7*z + 14. Let w be l(8). Suppose -o - 75 = -w*o. Calculate the remainder when 43 is divided by o.
13
Let x = 25 + 8. Suppose 16*w = 29 - 301. Let k = w + x. Calculate the remainder when 28 is divided by k.
12
Suppose 48*a - 50*a + 150 = 0. Calculate the remainder when a is divided by 26.
23
Let x(w) = 33*w**2 - w + 1. Let k be x(1). Suppose -l = 2 - k. Let d = -11 - -19. Calculate the remainder when l is divided by d.
7
Suppose -19*n + 836 = 3*n. Calculate the remainder when n is divided by 21.
17
Let l = -12 + 4. What is the remainder when 59 is divided by (l/1)/(18/(-27))?
11
What is the remainder when (-176836)/(-154) + 4 + (-90)/21 is divided by 23?
21
Let m(h) = 15 - 5*h**2 + 14*h + 1 - 3 + 4*h**2. What is the remainder when m(13) is divided by 10?
6
Let y(n) = 78*n + 222. Calculate the remainder when y(0) is divided by 75.
72
Let n(d) = -d**2 - 11*d + 15. Let a be n(-6). Let g = a + -39. Let i = -14 + 35. Calculate the remainder when i is divided by g.
3
Let a(p) = 7*p + 232. What is the remainder when a(-21) is divided by 23?
16
Let a(r) = -r**2 - 3*r + 73. What is the remainder when 74 is divided by a(-9)?
17
Suppose 10*n - 5*n = 445. Let u = n - 53. Calculate the remainder when u is divided by 19.
17
Suppose 0 = n - 4, 0*b - b = 5*n - 163. What is the remainder when b is divided by 24?
23
Let p(d) = -50*d - 48. Let b be p(-6). Suppose -2*r = 5*r - b. What is the remainder when r is divided by 10?
6
Let v(p) = -p**3 + 5*p**2 + 7*p + 7. Suppose 4*f + 54 = 46. What is the remainder when (-1 - 3) + (-54)/f is divided by v(6)?
10
Calculate the remainder when 106 is divided by (-8)/(-3)*(-54)/(-20)*5.
34
Suppose 0 = -0*k + 7*k - 126. What is the remainder when 32 is divided by k?
14
What is the remainder when (3/(-9))/((-17)/816) is divided by 16?
0
Suppose -28 = 4*g + 32. Let a be ((-8)/(-5))/((-2)/g). What is the remainder when 53 is divided by (8 - 6) + a*1?
11
Suppose -o + 15 - 1 = 0. Suppose 5*w - 3*n = 207, w + 0*n - 31 = -2*n. What is the remainder when w is divided by o?
11
Let p be (-22)/18 - 14/(-63). Let g be (1 - p) + 3 - 2. Suppose 3*d = 5*b - 25, -g*b = 2*b + 4*d - 60. Calculate the remainder when b is divided by 5.
3
Let g(k) = k**3 + k**2 + k. Let f be g(0). Suppose w + 2*w - 12 = f. Suppose -i - 39 = -5*n, n + 6*i = 2*i + 12. What is the remainder when n is divided by w?
0
Let a = 59 - -69. What is the remainder when a is divided by 50?
28
Let v = -55 + 19. Let o = 77 + v. Calculate the remainder when o is divided by 12.
5
Let a(o) be the second derivative of -3*o**3/2 - 7*o**2/2 - 19*o. Calculate the remainder when 7 is divided by a(-1).
1
Suppose 4*f - 100 = -f. Suppose 0 = 3*h - h - 10. Calculate the remainder when 33/55 - (-282)/h is divided by f.
17
Let b(j) = 59*j - 3. Let m(q) = 21*q**2 + q. What is the remainder when b(3) is divided by m(1)?
20
Suppose 0*p + 2*p - 12 = d, p + 1 = 0. Let i = d + 28. Calculate the remainder when i is divided by 7.
0
Let p(x) = x**3 - 26*x**2 - 25*x + 69. Calculate the remainder when p(27) is divided by 28.
11
Let y(a) = -a**3 + 13*a**2 + 9*a - 260. What is the remainder when 153 is divided by y(11)?
72
Suppose -804 + 161 = -g. Let t = 385 - g. What is the remainder when 95 is divided by t/(-16) + 3/(-24)?
15
Let t(f) = -20*f - 156. Calculate the remainder when t(-14) is divided by 18.
16
Let x = -6 + 18. What is the remainder when (-2174)/(-12) - (3 + (-34)/x) is divided by 23?
20
Suppose -21*x = 5155 - 13807. What is the remainder when x is divided by 11?
5
Suppose 37*h = 20*h + 102. Calculate the remainder when 118 is divided by h.
4
Let b = 56 - 54. Let h = -