What is the remainder when z(-33) is divided by 13?
12
Suppose -2*q + 280 = -5*f, 5*f - f + 2*q = -224. Let w = -54 - f. Suppose 7 = w*h - 9. Calculate the remainder when 12 is divided by h.
4
Suppose 122*h - 292*h + 1725 = -145*h. What is the remainder when h is divided by 18?
15
What is the remainder when 183 is divided by (28/462 - (-8)/(-11))*-33?
7
Suppose 83 = -2*o - 5*p + 241, 0 = o - p - 107. Calculate the remainder when 105 is divided by o.
6
Suppose 37*r = 43*r - 42. Let y(m) = 3*m**2 - m - 14 + 0*m**2 + 0*m. What is the remainder when y(r) is divided by 43?
40
What is the remainder when 2155 is divided by 143/(-11) - 62/(-1)?
48
Let d(l) = -l**3 - 6*l**2 + 21*l + 34. Let x be d(-11). Let m = x + -397. What is the remainder when 55 is divided by m?
0
What is the remainder when (-25)/20 + (16 - 44944/(-64)) is divided by 96?
45
Let k = -2343 + 2386. Calculate the remainder when k is divided by 27.
16
Suppose 3*u + q = 4*q + 627, q - 3 = 0. Let x = 234 - u. Calculate the remainder when 60 is divided by x.
16
Let p(u) = 4*u**3 + 80*u**2 - 79*u + 141. Suppose -5*g + 1435 = -3*s, 0 = -0*g + 2*g - 2*s - 574. Calculate the remainder when g is divided by p(-21).
35
Let t be (962/37)/(4/(-194)). Let l = -678 - t. Calculate the remainder when l is divided by 65.
63
Suppose 5*r - 2*r + n - 23 = 0, 0 = -3*r + 2*n + 8. Suppose 3*a - 66 + r = -3*z, -3*z = -5*a - 20. What is the remainder when 23 is divided by z - 2 - (1 - 1)?
10
Suppose 3 - 2 = l. Let u = 49 + -47. Calculate the remainder when 97 is divided by 11*(u - (l + 0)).
9
Let f(x) be the first derivative of x**4/4 - x**3/3 + 57*x - 17. Let k be f(0). Let h = k + -36. Calculate the remainder when h is divided by 12.
9
Let z(j) = 60*j**2 + 4*j + 2. Let t be z(-1). Let n = t - 58. Calculate the remainder when (-1 + 2)/((-2)/(-18) + n) is divided by 5.
4
Suppose -5*w = 2*z - 153, -3*w + 2*z - 6*z = -103. Suppose 3*k - 6 = -0. Suppose -3*r + w = k. What is the remainder when 60 is divided by r?
6
Let n(u) = 7*u**2 - 123*u + 105. Let l(a) = a**3 - 5*a**2 + 2*a. Calculate the remainder when n(17) is divided by l(5).
7
Suppose 4 - 14 = -5*z. What is the remainder when 92 is divided by (-14)/(-49) - z/((-14)/131)?
16
Suppose 4*u + 4*x - 68 = 0, -3*u + 42 + 5 = 2*x. Let q = 1409 + -930. Calculate the remainder when q is divided by u.
11
Suppose -39 + 90 - 13 = 2*u. What is the remainder when 63 is divided by u?
6
Let a = 1673 + -926. Suppose 741*r = a*r - 780. Calculate the remainder when r is divided by 15.
10
Suppose 118*a - 45066 = 76*a. What is the remainder when a is divided by 90?
83
Suppose -2*j + 76 = 86. What is the remainder when 84 - (j + 2/((-2)/(-3))) is divided by 11?
9
Let x be (4 - (-2)/(-6) - 3)*132. Suppose 93*v - x*v - 2*t = 357, 3*v = -2*t + 211. What is the remainder when v is divided by 15?
11
Suppose -6*a + 2*i - 4696 = -11*a, 4*a = -3*i + 3754. What is the remainder when a is divided by 259?
163
Calculate the remainder when 949 is divided by (-2388)/(-15) + 425/1000 + 6/16.
149
Let y(h) = 2*h**2 - 4*h + 14. Calculate the remainder when y(6) is divided by 980/36 + -4 + (-34)/(-9).
8
Let h(v) = v**3 - 12*v**2 + 30*v + 34. Let u be h(10). What is the remainder when 82 is divided by u/11 - (-36)/(-198)?
10
Let u(h) = -122*h + 3326. Calculate the remainder when u(25) is divided by 125.
26
Suppose 0 = -p - 28 + 156. What is the remainder when 1229 is divided by p?
77
Suppose 0 = -9*k + k + 72. Calculate the remainder when 834 is divided by k.
6
Let x = -2524 - -3320. What is the remainder when 2433 is divided by x?
45
Suppose 4527 + 81 = 6*t. What is the remainder when t is divided by 5?
3
Let g(x) = -x**2 + x + 17. Let a be g(-7). Let k be -4*(a/(-12) + -4). Suppose k*s - 7*s = -20. What is the remainder when 19 is divided by s?
4
Let o = 3390 - 3383. What is the remainder when 127 is divided by o?
1
What is the remainder when 3876 - ((-116)/638 - (291/33 + -2)) is divided by 111?
109
Let a(r) = r**2 - 2*r - 4. Let g(b) = -2*b + 19. Let i be g(7). Let c(p) = p**2 + 10*p - 45. What is the remainder when c(i) is divided by a(5)?
8
Suppose 3*o - 14 = -3*c - 2*o, -2*c + 2*o + 4 = 0. Suppose -90 = -8*f + c*f. Calculate the remainder when 14*(-3)/(18/(-15)) is divided by f.
17
Let f be 5 + 15 + 3 + -8. Suppose 2*g + f + 0 = 3*v, -v + 5 = -g. Calculate the remainder when 68 is divided by v.
3
Let x(h) = 5*h**2 + 10*h - 12. Calculate the remainder when x(-11) is divided by 64.
35
Let r(g) = 115*g + 1176. What is the remainder when 2113 is divided by r(-9)?
139
Let g be (6/(-4) - 0)*(-72)/(-54). Let d = g + -5. Let a(q) = -6*q - 32. What is the remainder when 29 is divided by a(d)?
9
Let a(k) = -4*k - 27. Suppose -10*m = -9*m + 8. What is the remainder when ((-93)/12)/(2/m) is divided by a(-11)?
14
Let j = -3271 - -3294. What is the remainder when (390/45)/((-2)/(-42)) is divided by j?
21
Suppose 3*f - 3*g + 6 = 0, 0*g = -2*f - 4*g + 20. Suppose 23*n = p + 27*n - 32, -f*p + 2*n + 54 = 0. What is the remainder when p is divided by 6?
4
Suppose 2*j - 398 = 5*v, -5*j = -0*j + 3*v - 933. What is the remainder when j is divided by 1268/20 - ((-165)/(-25))/(-11)?
61
Let i(v) = 3*v**2 - 153*v - 612. Suppose -2*u = -f - 27, 0 = 2*u - 4*f - 6 - 6. What is the remainder when i(55) is divided by u?
0
Suppose -4*o + 4*r + 352 = 0, 0 = -2*o + 46*r - 51*r + 204. Calculate the remainder when 1058 is divided by o.
46
Let s = 10091 + -10048. What is the remainder when 261 is divided by s?
3
Suppose 12*i - 108 = 14*i. Let m = i + 32. What is the remainder when 0 - (0 + (m - 3)) is divided by 13?
12
Let r = 14960 + -13906. What is the remainder when r is divided by 13?
1
Let f(j) = -61*j - 1914. What is the remainder when f(-32) is divided by (-8 + -1)*20/(-15)?
2
Suppose -24*h + 28*h + 1728 = 2*u, -2*u + 5*h = -1722. What is the remainder when u is divided by 287?
15
Let s = 301 - 70. Let c = s + -148. What is the remainder when c is divided by 14?
13
Let z be 65/91 - (-28832)/(-28). Let x = -1000 - z. What is the remainder when 113/(-2)*(-2 + 0) is divided by x?
26
Suppose 3*i + 3*b + 48 = 0, 4*b + 80 = -0*i - 5*i. What is the remainder when ((-22)/(-44))/((-19)/(-988)) is divided by (i/(-2))/(0 - -1)?
2
Let y be (3/3)/((-4)/(-20)*1). Let l be (3/y)/((-1)/15). Let d = 33 + l. What is the remainder when d is divided by 5?
4
Suppose 0 = -2*h + 4*l - 359 - 19, 3*h + 612 = -3*l. Let x = -120 - h. Calculate the remainder when x is divided by 10.
9
Suppose 5*j + 4*i - 51 = -20, -2*i = -4*j + 30. Let t(b) = -2*b - 4. Let y be t(j). Calculate the remainder when 28 is divided by (6/(-4))/(6/8) - y.
12
Suppose f + 151 = 543. Suppose 18*t - 382 = f. What is the remainder when 341 is divided by t?
40
Let k(g) = 4*g**3 - 9*g**2 + 74*g - 323. Calculate the remainder when 968 is divided by k(5).
2
Suppose 0 = 1130*c - 1137*c + 364. Calculate the remainder when 986 is divided by c.
50
Let y be (-42)/98 - (-1210)/28*2. What is the remainder when 110 is divided by y/4 - (-9)/(-6) - 4?
14
Let o = 629 + -640. Let p(i) = -8*i**2 + 18 + 9 - i**3 - 2*i**2 + 11*i. Calculate the remainder when 51 is divided by p(o).
24
Suppose 22*g - 24*g = 0. Let i be 1*(-11 + g)*1. What is the remainder when 51 is divided by (-6)/(-2)*(-2 - i)?
24
Let f = 3689 + -3655. Let w(x) = -x**2 + 9*x + 38. What is the remainder when f is divided by w(12)?
0
What is the remainder when 670 is divided by 90/4*(16/(-104) + (-264)/(-26))?
220
Suppose 5*n = 4*q - 82 - 224, 4*n - 8 = 0. What is the remainder when q is divided by 46?
33
Let o(f) = -5*f**2 + 491*f + 418. Calculate the remainder when 2109 is divided by o(99).
19
What is the remainder when (-7)/28 + (-8209)/(-4) is divided by 13?
11
Suppose 4*y + 47 = -5*r + 123, 3*y = 5*r + 22. Suppose -3*v = 4*l - 85, 3*l + 27 = v + 4*l. What is the remainder when v is divided by y?
9
Let n = 166 + -207. Let p = 50 + n. Suppose 2*u = 54 - 2. Calculate the remainder when u is divided by p.
8
Let r(x) = -2*x + 8. Let t be r(-5). Suppose -5*c - p = -79, -2*c - 5*p + 53 - 3 = 0. Calculate the remainder when t*1 + (-44)/(-22) is divided by c.
5
Suppose 11*b = 15*b - 148. Suppose 2*t - 5*g = -t + 29, -t + 19 = 3*g. Calculate the remainder when b is divided by t.
11
Suppose y = -2*c + 45, -c + 114 = y + 63. What is