4. What is the remainder when 512 is divided by z(27)?
12
Suppose 0 = -27*s + 28*s + j - 12, 0 = -5*s + 2*j + 46. Calculate the remainder when 729 is divided by s.
9
Suppose 24 = l + 3*l. Suppose 19 = 4*p + 5*o - 22, -5*p + 2*o + 10 = 0. Suppose 0 = j + p*j + t - 102, 6 = -2*t. What is the remainder when j is divided by l?
3
Let t(r) = 22*r + 823. Suppose 0 = 4*s + 12, 3*c = -2*c - 3*s + 71. What is the remainder when t(-34) is divided by c?
11
Suppose -2*m = -2 - 0. Suppose -2*s - 20 = -2*q, -4*s - 5*q = -6 + m. What is the remainder when 148/20 - 3/s is divided by 2?
0
Suppose 3*u + 5*r = -0*u + 25, 4*r - 20 = -3*u. Let l(m) = -m**2 - 3*m + 18. Calculate the remainder when l(u) is divided by 9.
0
Let v(s) = s**2 + s - 6. Suppose -2*m + 2*g = -7*m + 202, -2*g = -5*m + 198. Calculate the remainder when m is divided by v(-5).
12
Calculate the remainder when ((260 + 7)/(-3))/(9/(-27)) is divided by 40.
27
Suppose 5*r - 68 = -2*b, -2*b + 4*r + 21 = -11. Let o = 169 - 89. Suppose y = 3*j - 205, -j + 0*j = 2*y - o. What is the remainder when j is divided by b?
22
Let q = 71 + -99. Let p = 60 + q. Calculate the remainder when 94 is divided by p.
30
Let q be (-9 - -4)*6/(-10). Let v(i) = 2 + 3 + 2 + 2*i. What is the remainder when 62 is divided by v(q)?
10
Suppose 0 = -v - 5*r + 21, 3 + 3 = 3*v - 4*r. Calculate the remainder when 27 is divided by v.
3
Suppose -16 - 8 = -4*l. Let j be (4/(-6))/((-4)/6). Suppose 0 = 3*w - 2*c - 21, -2*w + c + 14 = -j. Calculate the remainder when w is divided by l.
3
Suppose 6*o - 143 = 229. Suppose -5*m - 37 = -c, -1 = -m + 2*m. What is the remainder when o is divided by c?
30
Suppose 10*c - 4*c - 792 = 0. Calculate the remainder when c is divided by 19.
18
Let s = -59 - -86. Suppose -157 = -69*g + 66*g - 5*f, -241 = -5*g + 2*f. Calculate the remainder when g is divided by s.
22
Let r be 22/((-4)/2)*-36. Suppose -50 + 270 = 11*g. What is the remainder when r/(-30)*g/(-6) is divided by 15?
14
Suppose 5*q = -2*y + 39, -2*y + 36 = y + 3*q. Suppose 5*p - y - 3 = 0. Suppose -p*w = w - 81. Calculate the remainder when w is divided by 7.
6
Let x(b) = -b**2 + 17*b + 9. Let d be x(17). Let o(q) = q**3 + 8*q**2 - 4*q + 5. Let l be o(-8). Let y = l - d. Calculate the remainder when 53 is divided by y.
25
Calculate the remainder when 1/(10 - 13293/1330) is divided by 32.
30
Let k be 1/(3*(-3)/(-567)). Let o be 392/k - (-2)/(-9). Let g = o + -2. What is the remainder when 13 is divided by g?
1
Let w = 27 - 51. What is the remainder when 42 is divided by (w/14)/(3/(-21))?
6
Let o(p) = p**3 + 6*p**2 + 7*p + 4. Let z be o(-5). Let y be ((-4)/(-6))/((-2)/z). Suppose 158 = y*t + 20. What is the remainder when t is divided by 18?
15
Suppose 1 - 21 = -4*s. Suppose 798*p = 816*p - 198. Calculate the remainder when p is divided by s.
1
Suppose -4*j + j - 47 = -2*a, -5*a + 122 = -3*j. Suppose -5*y + 30 = -a. Calculate the remainder when 64 is divided by y.
9
Suppose -21*a - 265 = -26*a. Calculate the remainder when 2*a*(-1)/(-4)*2 is divided by 18.
17
Calculate the remainder when 25 is divided by (18/(-27))/(3 + 74/(-24)).
1
Let r(t) = 3*t - 4. Let k be (36/30)/((-2)/(-5)). Suppose x = -k*x + 116. What is the remainder when x is divided by r(4)?
5
Let m be 3/((-9)/21) - 0. Let p = -24 - m. Let y(c) = -5*c + 25. What is the remainder when y(p) is divided by 28?
26
Suppose 2212*x - 2203*x - 1107 = 0. What is the remainder when x is divided by 8?
3
Let u = -66 - -63. What is the remainder when -101*(-5 - 12/u) is divided by 35?
31
Suppose -175 = -2*n - 3*n + 3*h, -3*n + h + 105 = 0. Calculate the remainder when n is divided by 13.
9
Suppose p - 20 = 3*h, -2*p + 20 = -0*h + 4*h. Suppose 5 + 5 = 2*d. Calculate the remainder when p is divided by d.
4
Let f(b) = b**2 - 11*b + 17. Let h be (-6 - 14)/(4/(-18)). Suppose -5*p + 5*j = -h, 7*p - 2*p - 87 = 2*j. Calculate the remainder when p is divided by f(10).
3
Suppose 32 - 8 = 3*o. Suppose -168 = -32*w + 120. Calculate the remainder when w is divided by o.
1
Let d = -646 + 1304. What is the remainder when d is divided by 20?
18
Let k(y) = -y + 13. Let b be k(4). Suppose 3*d - 36 = -b. What is the remainder when 25 is divided by d?
7
Suppose 8*l - 9*l = -3. Suppose 29 - 143 = -l*k. Calculate the remainder when 149 is divided by k.
35
Suppose -u = 2*k - 19, 9*k - 4*k = -4*u + 85. Suppose -188 = -5*b + b. What is the remainder when b is divided by u?
22
Let v = 1813 - 1786. What is the remainder when 322 is divided by v?
25
Let h(d) be the second derivative of d**5/20 + d**4/2 + 7*d**2/2 + 4*d. What is the remainder when 26 + 2 + 4/(-2) + 0 is divided by h(-6)?
5
Suppose -85 = -q + 2*h, -2*q = -2*h - 15 - 149. Suppose -77*k + 661 + 571 = 0. Calculate the remainder when q is divided by k.
15
Suppose -3*d - 68 = 2*t - 61, -d = 4*t - 11. Calculate the remainder when 31 is divided by t.
3
Let q = -7 + 11. Suppose -q*k + 4 = -12. Suppose -k*z = 16, 43 - 3 = 2*a - 3*z. Calculate the remainder when a is divided by 4.
2
Let i(m) = 9*m**2. Suppose 131 = -5*b + 956. Suppose 8*w - b = 3*w. Calculate the remainder when w is divided by i(-1).
6
Suppose 3*q = 24 + 6. Let u(f) = -11*f + 844. Calculate the remainder when u(75) is divided by q.
9
Suppose 72 = 5*c - 53. Suppose -w + 0*w = -2*x - c, 2*w + 4*x - 58 = 0. What is the remainder when w is divided by 15?
12
Let i(o) = -o + 11. Let n be i(8). Suppose -n*k - 15 = 4*c + 51, -5*k = -2*c - 46. Let u = 34 + c. Calculate the remainder when 45 is divided by u.
13
Let l = -3 + 45. Let v = l - 27. Calculate the remainder when 28 is divided by v.
13
Suppose 5 = 4*p + 5*v - 6, 4*p - 46 = 2*v. Calculate the remainder when 5/(-90) - (-7084)/504 is divided by p.
5
Suppose -39*x = 10*x - 686. What is the remainder when 37 is divided by x?
9
Suppose 3 = 3*v, 4*i - v + 0*v = 15. Suppose -8 = -2*b - 0*b, -4*p + 56 = 5*b. Calculate the remainder when p is divided by i.
1
Let z = 566 + -515. What is the remainder when z is divided by 41?
10
Suppose -5*n + 5*t = -175, t + 72 = -447*n + 449*n. Calculate the remainder when n is divided by 31.
6
Calculate the remainder when 7438/10 + (-13)/(-65) is divided by 150.
144
Suppose 24 = -3*y - y. Suppose 5*a - 495 = 5*r, 97 = a - 3*r + r. Calculate the remainder when a is divided by (26/y)/(2/(-12)).
23
Let a(h) = h + 108. What is the remainder when a(-29) is divided by 15?
4
Let b = -640 - -666. What is the remainder when 441 is divided by b?
25
Suppose -27 = z - 47. Calculate the remainder when 38 is divided by z.
18
Let f = -2 + 7. Let d = f - 3. Suppose 10 = d*j - 8. What is the remainder when 34 is divided by j?
7
Let m(i) = 4*i**2 + 2*i - 3. Let g = -102 + 160. Suppose -5*a - 3*f + g = 0, 5*a = 3*f + f + 86. Calculate the remainder when m(-4) is divided by a.
11
Let x = -18 + 18. Suppose -8 = 4*i, -22 + x = -5*v + i. Suppose -p = 3*k - v*p - 78, 5*k + 2*p = 95. What is the remainder when 39 is divided by k?
18
Let r(t) = t**2 + 16*t + 20. Let i be r(-14). Calculate the remainder when 18 is divided by 7/(-14)*(i + 0).
2
Suppose -30 = -2*q - c + 36, -2*q + 56 = -4*c. What is the remainder when q is divided by 3?
2
Let x be 25/(-2) - (-8)/16. Let a be ((-322)/8)/(3/x). Suppose -5*u + a = -469. What is the remainder when u is divided by 32?
30
Suppose -24 - 352 = -4*t - 4*a, -270 = -3*t + a. Suppose -4*r = 3*l - 109, 2*l - 2*r = -r + t. Calculate the remainder when l is divided by 11.
10
Suppose 2*p - l - 132 = 0, 0 = 2*p + 5*l - 48 - 84. Suppose q + 5*q = p. Calculate the remainder when 21 is divided by q.
10
Suppose -k = 3*h - 4*k + 3, 0 = -h - k + 7. Let s(f) = 12*f**2 + 4*f - 7. What is the remainder when s(h) is divided by 23?
21
Suppose 0*x + 3*x + 4*m = 125, 2*x + 3*m = 84. Let n = x + -20. Calculate the remainder when 68 is divided by n.
11
Let g(o) = -o - 2 - 2*o - 1 + 4*o. Let h be g(5). Suppose 22 = -h*j + 3*j. What is the remainder when 41 is divided by j?
19
Let o = 42 - 14. Suppose -5*l = -4*l - 53. What is the remainder when l is divided by o?
25
Let b(j) = j**3 - 7*j**2 + 7*j - 5. Let d be b(6). Let f(l) = 17*l - 1. Let p(w) = 21*w - 326. Calculate the remainder when p(17) is divided by f(d).
15
Let f = 85 + 31. Let y = -95 + f. Calculate the remainder when 78 is divided by y.
15
Let y = 25 + -19. Suppose -y*q - 6 = -