e 2*f + 3*r - 27 = 0, -4*f - r = -2*f - 17. What is the remainder when n(f) is divided by 33?
29
Suppose -3*o + 10 + 164 = 0. Calculate the remainder when 285 is divided by o.
53
Let k(c) = 11*c + 249. What is the remainder when 230 is divided by k(-16)?
11
Let f(w) = w**3 - 4*w**2 - 24*w + 84. Let v = -35 - -51. What is the remainder when v is divided by f(3)?
1
Let i = 8 - 3. Suppose -15 + 40 = -i*z. Let a(t) = t**3 + 8*t**2 + 10*t - 6. Calculate the remainder when 54 is divided by a(z).
16
Suppose -3 = -3*s, 4*s + 144 = 3*m + 19. Calculate the remainder when 257 is divided by m.
42
Suppose -268 = -3*j - j. Let g be (-5)/(-4)*40/(-10). Calculate the remainder when j is divided by -4 - 68/(-20) - 88/g.
16
Suppose 236*l - 287 = 195*l. Suppose 0 = -3*z + 97 - 22. Calculate the remainder when z is divided by l.
4
Let b(q) = 2*q**2 - 7*q. Let a be b(6). Suppose 9*f = 6*f + a. What is the remainder when 34 is divided by f?
4
Let x = -647 + 1619. Calculate the remainder when x is divided by 65.
62
Suppose 4*j - 3*g = j + 354, 4*j + 3*g - 451 = 0. Suppose 4 = 7*v - j. What is the remainder when v is divided by 3?
2
Calculate the remainder when 89 is divided by (675/(-54))/(5/(-2) - -2).
14
Suppose 22*g - 48 = 19*g. What is the remainder when 27 is divided by g?
11
Suppose -39*i + 49640 = 34*i. What is the remainder when i is divided by 19?
15
Let s be 37/(-13) + (-2)/13. Let z = 25 + s. Let h = z - 21. What is the remainder when h is divided by 1?
0
Let w(v) = -v**3 + 2*v**2 + v + 21. Let p(h) = -2*h**3 + 3*h**2 + h + 43. Let b(d) = 3*p(d) - 5*w(d). What is the remainder when 140 is divided by b(0)?
20
Suppose n - 18*y + 15*y = 32, 5*n - 104 = y. What is the remainder when 79 is divided by n?
19
Let l(s) = 3*s**3 + 21*s**2 + 14*s + 10. Calculate the remainder when l(-6) is divided by 8.
2
Suppose 225 - 57 = 4*t. Let x be (46/4)/(7/t). Suppose 2*f - f + 2*m - x = 0, -20 = 4*m. What is the remainder when f is divided by 20?
19
Suppose 0 = -97*n + 101*n. Suppose -z - 5*t + 2*t + 7 = n, 3*z - 4*t = 21. What is the remainder when 9 is divided by z?
2
Suppose -64*x + 2760 = -44*x. What is the remainder when 267 is divided by x?
129
Let l(g) = 4*g**3 - 21*g**2 + 11*g - 44. What is the remainder when l(7) is divided by 96?
88
Let n = -17 + 68. What is the remainder when 915 is divided by n?
48
Suppose p + 4*q - 190 = 0, 4*q - 10 + 192 = p. Suppose 8*z - 818 = -p. Suppose -54 = -4*x + 2*x. Calculate the remainder when z is divided by x.
25
Let g = 44 - 30. Calculate the remainder when (-1 - -4)/(-3)*-123 is divided by g.
11
Let w = 34 + -34. Suppose -5*t + 3*q + 91 = -42, w = -q + 4. Suppose -31 - t = -5*m. Calculate the remainder when m is divided by 8.
4
Let b be (-6)/2 + 0 + 5. Suppose -3*n - 21 = -q, b*n = 5*n + 6. Calculate the remainder when 71 is divided by q.
11
Let o(k) = -k**3 + 11*k**2 - 15*k - 2. Let i be o(10). Let c be i/2 + 2 - 1. Calculate the remainder when 21 is divided by (-102)/(-15) - (-20)/c.
3
Suppose -3*x = -39*x + 468. What is the remainder when 229 is divided by x?
8
Let a(s) = 1 - 386*s**2 - 5*s**3 + 4*s**3 - 9*s + 378*s**2. What is the remainder when 42 is divided by a(-7)?
12
Let x = 2 + 29. Suppose -15 - 5 = -4*u. Suppose u*t = 14 + x. Calculate the remainder when t is divided by 6.
3
Let s(h) = 2*h**2 + 1. Let n be s(-1). Suppose -12 = n*v, x = 2*x - 5*v - 45. Calculate the remainder when 97 is divided by x.
22
Suppose -2*m = -3*h + 344, -h - m = -2*m - 116. Let c = h - 103. Let k = -49 + 74. Calculate the remainder when k is divided by c.
7
Let q = 13 - 14. Let z be (q + 2)/(5/(-30)). Let t(w) = w**2 + 6*w + 10. Calculate the remainder when 18 is divided by t(z).
8
Let h = 74 - 63. Suppose 3*f - b = 4*b - h, 0 = f - 5*b + 17. Calculate the remainder when f is divided by 3.
0
Suppose -11*l - 9 = -12*l. Let c = l - -15. What is the remainder when 94 is divided by c?
22
Let q be 10670/165 + 2/(-3). Suppose 4*g + 108 = -v - v, -2*v = 2*g + 98. Let h = q + v. Calculate the remainder when h is divided by 11.
9
Suppose -7 = 3*t - 70. Suppose 3*b - 265 = -2*g, 9*g - 3*b = 7*g + 235. What is the remainder when g is divided by t?
20
Let i = 10 - 11. Let j(w) = w**3 + w**2 + w + 1. Let p be j(i). Suppose -48 = -p*g - 4*g. Calculate the remainder when 45 is divided by g.
9
Let h(v) = -v**2 + 7*v + 18. Suppose -n = -5*n + 32. Calculate the remainder when h(n) is divided by 6.
4
Let n(k) = 2*k - 3. Let m = 5 - 2. Let d be n(m). Suppose -4*f - p + 7 = -20, 3*p + d = 2*f. What is the remainder when 23 is divided by f?
5
Suppose 30 = -4*v + 150. Let s(g) = g**2 - 2*g - 49. What is the remainder when s(-12) is divided by v?
29
Suppose -415*j + 408*j = -259. Calculate the remainder when 75 is divided by j.
1
Suppose 5*r = 77*x - 75*x + 92, 0 = 4*r + x - 71. Let k(n) = 2*n**2 - n - 4. Calculate the remainder when k(7) is divided by r.
15
Suppose 3*t - 2*o = 17, 10 + 1 = -3*t - 5*o. Calculate the remainder when (952/14)/(-1 + t) is divided by 7.
6
Suppose 24 = -22*j + 266. What is the remainder when j is divided by 7 + (2 - -2 - 2)?
2
Suppose 7*a = 3733 - 1003. Calculate the remainder when a is divided by 17.
16
Suppose q + 332 = 4*j + 23, 5*q + 375 = 5*j. What is the remainder when j is divided by 7?
1
Let m = 389 + -337. What is the remainder when 153 is divided by m?
49
Suppose 4*g + 2 + 10 = 3*p, 3*p - 15 = 5*g. Let z(t) = 16*t**3. Let y be z(1). Let a = y + g. Calculate the remainder when 24 is divided by a.
11
Suppose 0 = 8*q - 9*q + 89. Suppose -3*i - 95 = -4*l, -5*i = 2*l - 3*l + 28. Calculate the remainder when q is divided by l.
20
Suppose 6196 - 1851 = 55*a. What is the remainder when a is divided by 11?
2
Let k(l) = -l**3 - 7*l**2 - 13*l - 38. Let c = 59 + -48. What is the remainder when k(-8) is divided by c?
9
Suppose -l + 5*h = 1 - 31, -4*l + 3*h = -35. Suppose -q = l*q - 126. What is the remainder when 57 is divided by q?
15
Let x(k) = -k**2 + 11*k - 25. Let f be x(6). Suppose 3*j - f - 5 = -a, -5*a + 126 = -4*j. Calculate the remainder when 128 is divided by a.
18
Let p(m) = -42*m - 4. Let u be p(-4). Suppose 0 = 4*q - u - 8. What is the remainder when q is divided by (-1)/(4 + 111/(-27))?
7
Suppose 5*q - 2*i = 4*q - 442, 5*q = -4*i - 2252. Let a = 741 + q. Calculate the remainder when a is divided by 37.
34
Let a(v) = 3*v + 25. Let d be a(3). Suppose -8*z - d = -9*z. Calculate the remainder when z is divided by 10.
4
Suppose -4*t + 5*m + 657 = 0, -5*m - 21 = 4. Calculate the remainder when t is divided by 40.
38
Suppose 5*a - 3*g = 211, g - 199 = -5*a - 2*g. What is the remainder when 68 is divided by 1/(-4)*1 + a/4?
8
Let o = 22 - 15. What is the remainder when (1/(-3))/((-6)/594) is divided by o?
5
Let n(r) = -21*r - 80. Calculate the remainder when 120 is divided by n(-5).
20
What is the remainder when (50/8*-1)/(140/(-560)) is divided by 7?
4
Let w = -626 + 656. Calculate the remainder when 355 is divided by w.
25
Let a = -79 - -23. Let g = a - -60. What is the remainder when 17 is divided by g?
1
Let k(f) = -28*f + 78. What is the remainder when k(-3) is divided by 37?
14
Let p be (6/(-9))/((-4)/18). Suppose p*n - 5*a - 28 = 39, 3*n + 3*a = 51. Calculate the remainder when n is divided by 7.
5
Suppose 0 = 3*j - 4114 - 4787. What is the remainder when 2/(-21) - j/(-63) is divided by 18?
11
Let q = -326 + 396. Suppose 5*v - 5*c = 100, 5*v + 0*v - 4*c - 104 = 0. What is the remainder when q is divided by v?
22
Let p = 519 - 487. What is the remainder when 181 is divided by p?
21
Let u(i) = 26*i**2 - 6*i + 2 - 12*i**2 - 10*i**2. What is the remainder when u(-3) is divided by 20?
16
Let q = 4 - 3. Let u = 2 + q. Suppose -i = 150 - 160. What is the remainder when i is divided by u?
1
Suppose 10*m + 1 = -9. Let h(q) = -49*q**3 - q - 1. Calculate the remainder when h(m) is divided by 10.
9
Let y = 37 + -83. Calculate the remainder when y/(-115) + (-696)/(-10) is divided by 24.
22
Suppose 2*z = 3*i + 3*z - 80, 2 = -2*z. Calculate the remainder when 45 is divided by i.
18
Suppose 0 = 5*w + 15, 4*t - 2*w - 938 = 4*w. Calculate the remainder when t is divided by 50.
30
Let p = 33 + -32. Calculate the remainder when 96 is divided by 24/1 + (-4)/(-3 - p).
21
Suppose 3*o - o + 12 = 2*d, 10 = 3*d + 5*o. Suppose 23 = d*y + 8. What is th