ulate the remainder when 2/p + 763/42 is divided by 7.
4
Let z be (-1896)/(-60) + (-6)/10. Let o = z + 6. What is the remainder when o is divided by 13?
11
Let r be (-5)/5 - 6/(-2). Suppose -43 = -5*p - 3*c, -r*p + 1 + 9 = 3*c. Suppose 2*l - 6*l = -172. What is the remainder when l is divided by p?
10
Suppose 5*t = -5*i + 245, t + 186 = 4*i - 0*t. Let h = 111 - i. What is the remainder when h is divided by 17?
13
Let z(s) = -7*s - 5. What is the remainder when z(-4) is divided by 488/61 - (-3 - 9)?
3
Calculate the remainder when 185 is divided by 330/14 - 27/(-63).
17
Let j = -10 - -12. Suppose -33 = -j*r + 47. What is the remainder when r is divided by 15?
10
Calculate the remainder when 165 is divided by 3*(6 + 117/27).
10
Suppose -5*r = 4*g - 35, 2*r + 8*g + 9 = 11*g. Calculate the remainder when 15 is divided by r.
0
Let q(w) = w + 61. Suppose -10*n + 4*n = 72. Calculate the remainder when q(n) is divided by 17.
15
Let q = 737 + -524. Suppose -7*b + 8*b - 421 = 0. Suppose 0 = 3*a + 2*n - q, -b = -4*a - 5*n - 137. Calculate the remainder when a is divided by 36.
35
Let b(o) = 7*o**3 - 2*o**2 + o. Let f be b(2). Suppose 0 = -3*p + f + 4. What is the remainder when 33 is divided by p?
15
Let t be (0 - 1) + 2 - -1. Let z(u) = 2*u**2 + u - 1. What is the remainder when 132/10*(-6)/(60/(-25)) is divided by z(t)?
6
Suppose a - 18 = -3. Suppose -6*b = 3 - 33. Suppose -3*r + 117 = -5*q, -b*r + 100 = -2*q - 114. Calculate the remainder when r is divided by a.
14
Calculate the remainder when 70 is divided by -14 + 16 - 20/(-2).
10
Let f(l) be the third derivative of -l**5/60 + 2*l**4/3 - 3*l**3 + 6*l**2. Suppose 15 = -o + 53. Calculate the remainder when o is divided by f(14).
8
Let x(d) = -d**2 + 22*d - 20*d - 3 + 2*d**2. Calculate the remainder when 19 is divided by x(2).
4
Let m = -268 + 292. Calculate the remainder when m is divided by 8.
0
Suppose 4*a + 0*u = -5*u + 331, u = -a + 83. Calculate the remainder when a is divided by 30.
24
Suppose 5*c + 8 = g, 4*g + g = 2*c - 29. What is the remainder when 2/g - (-326)/14 is divided by 5*13/2*(130/(-50) + 3)?
10
Suppose -10 = -h - 5*n, 0 = 5*h - n + 6*n - 30. Suppose 48 = h*z - z. Suppose 7*x = 8*x - z. What is the remainder when x is divided by 5?
2
Let a(z) = -z**2 + 12*z + 6. Let w be a(9). Let n = w - 31. What is the remainder when n is divided by 1?
0
Let n = -908 + 1291. Calculate the remainder when n is divided by 23.
15
Let j = -714 - -757. Calculate the remainder when 127 is divided by j.
41
Let f(u) = u**3 - 8*u**2 - 3*u + 6. Let z be f(8). What is the remainder when 41 is divided by (24/z)/((-6)/99)?
19
Suppose 3*f + 2*m = 28, 2*f + 43 = 5*f + 5*m. Calculate the remainder when 123 is divided by f.
3
Suppose -3*l = -3*a + 216 - 9, a = 2*l + 65. Let h(v) = -3*v - 28. Let c be h(9). Let g = -30 - c. Calculate the remainder when a is divided by g.
23
Suppose 3*z = 8*z + 5. Let l = 10 + z. Suppose -6*p = -l*p + 33. What is the remainder when p is divided by 3?
2
Suppose 4*n = 5*a + 10, 5*a + 5*n - 8 = 27. Suppose -5*m = -4*m + a. What is the remainder when -1 - (m + 18)/(-1) is divided by 9?
6
What is the remainder when ((-70)/14 - (-6 - 1)) + 329 is divided by 13?
6
Let a = 152 - 10. Suppose i = 5*x - 93, 15 = -2*i - 3*i. What is the remainder when a is divided by x?
16
Let j(b) = -b**3 + 3*b**2 + 4*b. Let p be j(4). Suppose -2*u + 86 = -p*u. Calculate the remainder when u is divided by 22.
21
Suppose -2768 = -9*s - 7*s. Let k = -48 + 73. Calculate the remainder when s is divided by k.
23
Let j(d) = 84*d - 587. What is the remainder when (-6)/(-9)*-3*-1 is divided by j(7)?
0
Suppose 5*p - 21 = 3*z, 0*p = -p - 2*z - 1. Let b(f) = f**3 + 7*f**2 + 3*f + 4. Calculate the remainder when b(-6) is divided by p + (-3 - -6 - 0).
4
Suppose -221 = -7*q + 108. Suppose 2*b - 79 - q = 0. Suppose 32 = 2*l + 4*t, -l - 3*t + b = 2*l. What is the remainder when l is divided by 15?
11
Let x(q) = 2*q**3 - 17*q + 6. Let b be x(7). Let r = -254 + b. Suppose 4*p - r = -p - 4*s, -185 = -3*p - 4*s. What is the remainder when p is divided by 10?
7
Let s(d) = d**3 - 11*d**2 - 124*d. What is the remainder when 357 is divided by s(18)?
33
What is the remainder when 29 is divided by (-2)/12 + ((-525)/(-18) - 7)?
7
Let a(q) = -q**3 - 15*q**2 - 9*q + 94. What is the remainder when a(-14) is divided by 4/(-2)*(1 + -3)?
0
What is the remainder when 61 is divided by (-16)/(-48)*216/3?
13
Let y(k) = k**2 - 4*k**2 - 21 + 6*k + 27. Let b be y(-4). Calculate the remainder when 29 is divided by (-3)/6 + b/(-4).
13
Suppose 20 = 10*n - 11*n. Let z be (-136)/n*10/(-2). Let d = z - -59. What is the remainder when 99 is divided by d?
24
Suppose 0 = -4*j - 5*f + 77 + 53, -3*f = 6. Let l(h) = -h**3 + 9*h**2 - 7*h + 2. What is the remainder when j is divided by l(8)?
5
Let k = -31 - -56. Suppose -3*u - 3*x - 68 = 2*x, u + 3*x + 28 = 0. Let a = k + u. What is the remainder when 26 is divided by a?
8
Suppose 0 = 66*p - 60*p - 648. Calculate the remainder when p is divided by 22.
20
Let c(k) = 45*k**2 - 2*k - 1. Suppose -13 = 5*i - 8. What is the remainder when c(i) is divided by 16?
14
Suppose -k + 73 = -3*n, -3*k - 2*n = -6*k + 247. Suppose 5*u = u + 88. Calculate the remainder when k is divided by u.
19
Let f = -112 + 148. What is the remainder when f is divided by 8?
4
Let m be (5 + -2)*566/6. Let k = m - 192. What is the remainder when k is divided by 19?
15
What is the remainder when 409 + -8*27/(-36) is divided by 53?
44
Calculate the remainder when 4/8*102 + 4 + 0 is divided by 48.
7
Let t be 34*(-1 + 2/4). Let m = t + 20. What is the remainder when 15 is divided by m?
0
Suppose -3*t + 4*z + z = 1, -4*t = 4*z - 20. Suppose 90 - 21 = t*i. Let x(l) = -3*l - 6. What is the remainder when i is divided by x(-6)?
11
Let g(d) = 2*d - 12. Let k be g(8). Suppose w - k = -2. Calculate the remainder when ((-9)/6)/((-1)/2) is divided by w.
1
Let a = -9 + 44. Suppose 6*u - u - 2 = 3*m, 4*u = 5*m - 1. Suppose u = n - a. What is the remainder when n is divided by 13?
10
Suppose -5*x - 4*g = -g - 76, 4*x + 4*g - 56 = 0. Suppose 13*k + 272 = x*k. What is the remainder when k is divided by 18?
14
Suppose 3*v = -4*g + 254, 4*g - 5*v = -v + 240. Let z = g + -51. What is the remainder when z is divided by (-3)/9 + 44/6?
4
Let g(y) = y**2 - y - 1. Let x(r) = r**3 - 2*r - 4. Let i(d) = -6*g(d) - x(d). Calculate the remainder when (11*1)/(33 + -32) is divided by i(-7).
2
Suppose -41 = -25*x + 24*x - 5*f, -2*f - 230 = -4*x. Calculate the remainder when 951 is divided by x.
55
Let d = -21 - -44. Calculate the remainder when 71 is divided by d.
2
Let q = -26 - -36. Calculate the remainder when q is divided by 1 + 5*(-1 - -2).
4
Calculate the remainder when ((-6 - (-6 + 39)) + -5)*-2 is divided by 28.
4
Let y(f) = 4*f - 11. Suppose -9*n + 32 = -n. Calculate the remainder when ((-12)/10)/((-1)/20) is divided by y(n).
4
Let t = -192 - -281. Suppose 3*l - t = 103. Suppose -l = -4*n - 3*o, -3*n + 5*o + 16 = -32. What is the remainder when 61 is divided by n?
13
Let y be (-978)/(-8) + 12/16. Suppose 4*q - y = 13. Suppose 2*l - l - 12 = 0. Calculate the remainder when q is divided by l.
10
Let f = -46 + 84. Suppose 5*j = 32 + f. Calculate the remainder when 82 is divided by j.
12
Suppose -z + 50 + 121 = 0. Calculate the remainder when z is divided by 45.
36
Let n(z) = 4*z**2 - 4*z + 3. Let y be n(2). Suppose -46 - 141 = -y*d. What is the remainder when 30 is divided by d?
13
Let x be 3/(-6) - 21/(-6). Suppose q + 0*i = 2*i + 11, -5*q - x*i + 3 = 0. Calculate the remainder when q is divided by (-12)/((-6)/(-2)) - (-2 - 4).
1
Let i(v) = -v**3 + 6*v**2 + 7*v - 4. Let b be i(7). Suppose -p + 0*p + 3*g = 1, 3*p = g + 5. What is the remainder when (4/(-3))/(b/12) is divided by p?
0
Let z be 382/14 - (-24)/(-84). Let r = 32 - z. Calculate the remainder when 27 is divided by r.
2
Suppose -122 = 5*k - 3*p, p - 104 = 4*k - 3*p. Let a = k - -25. Calculate the remainder when 6 is divided by a.
0
Let x be 12/2*(-3)/(-6). Suppose i - 17 = -x*g, -3*i + g + 4*g = 5. Let m = -4 + 17. What is the remainder when m is divided by i?
3
Let c(i) = i**2 - 2*i + 1. Let a be c(1). Suppose -2*v + a + 64 = u, v = -u + 61. What is the remainder when u is divided by 30?
28
Let u(m) = 2*m**3 - 