What is the remainder when 57 is divided by z?
7
Let i = 259 + -249. Let n = -22 + 60. Calculate the remainder when n is divided by i.
8
Let o = -99 + 138. Calculate the remainder when 388 is divided by o.
37
What is the remainder when 181 is divided by ((-18)/(-2))/(5/15)?
19
Suppose 3*t + t = 80. Let d = 19 - 16. What is the remainder when (-1156)/(-20) + d/15 is divided by t?
18
Suppose w - 5 = -11*b + 9*b, -5*b - 2*w + 13 = 0. What is the remainder when 4/(-2)*(-5)/2 is divided by b?
2
Suppose 36*b + 796 - 2308 = 0. Calculate the remainder when b is divided by 15.
12
Let t(s) = 2*s + 6. Let v be t(-10). Let x be (-4)/(-14) - (-788)/v. Let g = x - -187. Calculate the remainder when g is divided by 33.
32
Let b = 163 - 102. Let l = b + -49. Calculate the remainder when 30 is divided by l.
6
Suppose 6*k - 335 = 61. Calculate the remainder when k is divided by 14.
10
Suppose 30*w - 12285 = -5*w. Calculate the remainder when w is divided by 44.
43
Suppose 3*u - 168 = -2*a, 5*u = 2*u - 3*a + 168. Suppose 2*g = 6*g - u. Calculate the remainder when 66 is divided by g.
10
Suppose 0 = -14*s + 10*s. Suppose s*d = -3*d + 24. What is the remainder when 77 is divided by 21 - 4/d*2?
17
Suppose 2*p - 5 = v, -p + 0 = -4. Suppose -v*i + 1 + 29 = 0. What is the remainder when i is divided by 7/(-28) + (-13)/(-4)?
1
Let a = -16 + 13. Let q be -8*(9/a)/3. Suppose 2*c + k - 4*k - 21 = 0, k = -c + q. What is the remainder when 26 is divided by c?
8
Suppose 204 = 12*j - 888. Suppose 4*a = j + 269. Let v(u) = 5*u - 7. Calculate the remainder when a is divided by v(6).
21
Calculate the remainder when 120/(-70) - (-1998)/14 is divided by ((-3)/(-1))/(2/24).
33
Let b(k) = -k + 2. Let n be b(-10). Let m = n + -9. What is the remainder when (3 + -3)/m + 5 is divided by 3?
2
Let f be (-13)/(-3) + 3/(-9). Suppose 3*v - 108 = 3*w, -3*w + 150 = f*v - 4*w. What is the remainder when v is divided by 1*-3*1*110/(-33)?
8
Let x(j) = j**3 - 2*j**2 + j + 3. Let w be x(2). Suppose 5*t - 50 = -w*t. Calculate the remainder when 22 is divided by t.
2
Suppose 0 = -13*q + 3190 - 291. Calculate the remainder when q is divided by 118.
105
Let a(b) = 76*b**3 - 2*b + 1. Let c be 13 - (-9 + 6 - -6). What is the remainder when a(1) is divided by 16 + (4 - c)/(-2)?
18
Let v(w) be the first derivative of 4*w**3 - 4*w - 1. Suppose 5*d + 3*m = 190, -5*d + 224 - 54 = -m. What is the remainder when v(-3) is divided by d?
34
Suppose 0 = -2*q + q + 1. What is the remainder when (-1 - -2)/((-1)/(-29)) is divided by (-2 + q)*-12 - -4?
13
Let h(z) = z**3 + 2*z**2 - 10*z + 19. Calculate the remainder when h(4) is divided by 4.
3
Let x(q) = -8*q - 122. Let u = 288 - 205. What is the remainder when u is divided by x(-18)?
17
Suppose -2*v - v + 984 = 0. Calculate the remainder when v is divided by 2 + (106/(-4))/((-28)/56).
53
Let r(i) = i**3 - 4*i**2 - 5*i + 13. Let b be r(6). Suppose 2*p + 5*k = b, 0*p + 5*p + 4*k = 129. Let o = 52 - p. What is the remainder when o is divided by 14?
13
Let x(q) be the first derivative of q**2/2 + 14*q - 10. Let i be x(-11). What is the remainder when 11 is divided by 4 + i + -2 + 2?
4
Let t = -1361 - -1376. Calculate the remainder when 57 is divided by t.
12
Let l = 17 + -10. Suppose -45 = -5*z + 5*t, -z + 7*t - 1 = 11*t. Calculate the remainder when l is divided by z.
0
Suppose 3*t - 6*a + 2*a - 12 = 0, -4*t = -5*a - 15. Suppose t*w = -5*w + 225. Calculate the remainder when w is divided by 12.
9
Let y(r) = 15*r - 40. What is the remainder when y(9) is divided by ((-6)/(-8))/((-6)/(-192))?
23
Let s(g) = -2*g**2 - 48*g - 60. Calculate the remainder when 165 is divided by s(-22).
25
Let z = 0 - -10. Suppose 0 = 2*h - 0*h + 4*o - z, h + 5*o - 8 = 0. What is the remainder when 48/(-9)*(-12)/8 is divided by h?
2
Suppose -3*u + 408 = 3*l, 156 = -u + 2*u - 4*l. Suppose -5*f + f + u = 0. What is the remainder when f is divided by 9?
8
Calculate the remainder when 268 is divided by 158/(-869) - (-1610)/22.
49
Let z be (-261)/12 - (-9)/12. Let i be (0 + 18)/(z/(-14)). Calculate the remainder when 55 is divided by (6/i)/((-1)/(-58)).
26
Suppose -5*a + 2117 = 202. What is the remainder when a is divided by 65?
58
Let t(c) = -6*c**2 - 7*c + 12. Let n(i) = i**2 - 1. Let r(u) = 5*n(u) + t(u). Let a = 57 - 9. Calculate the remainder when a is divided by r(-5).
14
Let m be (-2 - (-1 + -2)) + -2. Suppose -10 = -5*o + 10. What is the remainder when o + m - 6 - -45 is divided by 15?
12
Suppose 4*l - 185 = -w, -425 = -3*w - 2*l + 160. Calculate the remainder when w is divided by 50.
47
Suppose 884 = -58*p + 62*p. What is the remainder when p is divided by 25?
21
Let p = 754 + -676. What is the remainder when 226 is divided by p?
70
Let s = -671 - -683. What is the remainder when -2*9/6 - -48 is divided by s?
9
Let y(o) be the first derivative of -19*o**2/2 + 3*o + 16. Calculate the remainder when y(-1) is divided by 6.
4
Let b = 49 + -33. Calculate the remainder when b is divided by (12/10)/((-9)/(-45)).
4
Let z = 7 - 0. Suppose -3*y = u + 148, 4*u + 3 = u. What is the remainder when z is divided by 52/14 + (-14)/y?
3
Let y = 6 + 23. Let f = -41 - -67. Let j = -18 + f. What is the remainder when y is divided by j?
5
Let o(j) = j**2 + j - 5. What is the remainder when 49 is divided by o(5)?
24
Suppose -p + 5*p - 30 = -5*f, 5*p - 35 = -5*f. Let o = 25 - 25. Suppose 5*s = -3*d + 25, 0 = f*d - o*d - 5*s - 25. What is the remainder when d is divided by 4?
2
Suppose 25 = v + 2*k + 2*k, 0 = -5*v + 3*k + 10. Let n(m) = 20*m - 147. What is the remainder when n(9) is divided by v?
3
Suppose -5*m - 3*l + 215 = 2*l, -2*m = -4*l - 68. Calculate the remainder when 134 is divided by m.
14
Suppose -15 = -5*z - f, 2 + 5 = -4*z + 3*f. Suppose x - 3*k = 6, 3*k - 4*k = z. Suppose p + p - 8 = x. What is the remainder when 9 is divided by p?
1
Suppose -3*j = -16 + 4. Let g = -1 + j. Suppose -11 = -g*t + 16. Calculate the remainder when 35 is divided by t.
8
Let z(a) = -3*a. Let u be z(-6). Let r = 0 - u. What is the remainder when r/(-15)*45/2 is divided by 15?
12
Suppose 0 = 2*z + 2*a - 862, 2*z - 3*a - 1263 = -z. Suppose z = 7*f - f. Calculate the remainder when f is divided by 18.
17
Let n(m) = 2*m. Let g be n(2). Suppose -g*d = d - 45. Suppose 3*j + j + 5*a = 121, -67 = -3*j + a. Calculate the remainder when j is divided by d.
6
Let i = 776 + -699. What is the remainder when i is divided by 20?
17
What is the remainder when 239 is divided by 9 - 23/((-115)/30)?
14
Let p(r) = -r**3 - 15*r**2 + 17*r - 4. Let q be p(-17). Suppose 6*n + 39 - q = 0. What is the remainder when n is divided by 11?
8
Let d = -240 - -533. Calculate the remainder when d is divided by 75.
68
Calculate the remainder when (1/3)/(13/156) + 111 is divided by 32.
19
Let q = -988 - -1304. What is the remainder when q is divided by 32?
28
Let f(u) = -u**2 - 16*u - 9. What is the remainder when f(-9) is divided by (-18)/(-8)*940/141?
9
Suppose 139 = 4*f - 25. Let h(q) = q**2 + q + 11. Calculate the remainder when f is divided by h(0).
8
Calculate the remainder when 472 is divided by (-105)/(-35)*(-3)/(9/(-79)).
77
What is the remainder when 5*(-4)/(-20) - -82 is divided by 18?
11
Let u be (-34)/6 + 1/(-3). Let i(c) be the third derivative of -c**4/6 - c**3 + 5*c**2 - 2*c. What is the remainder when 34 is divided by i(u)?
16
Suppose -5*l + 13 = -7. Let a be l/16*-2*-10. Suppose 0*r + a*r - 2*h - 230 = 0, -2*r - 2*h = -78. Calculate the remainder when r is divided by 12.
8
Suppose -2*l + 13 = -l + 4*h, -l = -3*h - 13. Suppose 3*s + 5*k - 31 = 0, 5*k + 11 = 3*s - 0*k. What is the remainder when l is divided by s?
6
Let b = 471 + -453. What is the remainder when 53 is divided by b?
17
Let f = -60 + 123. Suppose -60*s = -f*s + 18. Calculate the remainder when s is divided by 2.
0
Let r(c) = -13*c - 53. Let s be r(-11). Suppose -5*j + 95 = 5*m, -3*j = -3*m - 33 + s. Calculate the remainder when m is divided by 10.
9
Let x(i) = -3*i - 70. Let y be x(-24). Suppose 0 = h + k - 11 + 5, y*h = -3*k + 9. Calculate the remainder when 42 is divided by h.
6
Let n = 622 - 605. What is the remainder when n is divided by 6?
5
Let w(h) = h. Let f be w(-5). Let p(m) = 2*m**2 + m - 29. Calculate the remainder when 142 is divided by p(f).
14
Let s(z) = 8*z**2 