 z = 40 + u. What is the remainder when 76 is divided by z?
37
Let w be 2/3 - 1/(-3). Calculate the remainder when 230/12 - (-3 - 19/(-6)) is divided by (-49)/(-5) - w/(-5).
9
Calculate the remainder when 162 is divided by (6/(-14) - 17/(-7)) + 36.
10
Suppose -3 = 4*x + 4*q + 9, -5*x = -2*q + 22. Let r be (48/x)/(-3) - 5. Let d = r - -9. What is the remainder when 29 is divided by d?
5
Let z(a) = 4*a - 86. Calculate the remainder when z(40) is divided by 21.
11
Let h(l) = -l**2 - 12*l + 74. Calculate the remainder when 143 is divided by h(-15).
27
Suppose -3*b - 223 = -4*l, l - 9*b = -7*b + 62. Calculate the remainder when 203 is divided by l.
47
Suppose h - 115 = -4*h + 5*g, h = -g + 23. Suppose h + 1 = 6*d. Calculate the remainder when 6 is divided by d.
2
Let h = -95 + 149. Suppose -h*p - 13 = -55*p. Calculate the remainder when (-4)/(-6)*534/4 is divided by p.
11
Let c(t) = -t**3 - 5*t**2 - 5*t - 19. Let y be c(-6). Let q = 10 + y. What is the remainder when q is divided by 15?
12
Let i be (0 - -1)/(-4 - (6 - 9)). Let k = 5 + i. What is the remainder when 13 is divided by k?
1
Suppose -780 = -12*i - 48*i. Calculate the remainder when 82 is divided by i.
4
Let i(a) = -7*a**2 + 2*a + 22. Let n be i(-5). Let k = n - -336. Calculate the remainder when k is divided by 11.
8
Suppose 0 = -0*a - 2*a + 62. Let o = 24 - a. Let f = o - -20. Calculate the remainder when f is divided by 8.
5
Let z(o) = 4*o**3 + 41*o**2 + 51*o + 14. Calculate the remainder when z(-6) is divided by 100.
20
Suppose a + 18 = -7*s + 3*s, 4*a - 18 = 2*s. Suppose -3*o - 15 = 0, -a*z + o - 5 = 2. Let l = 13 + z. What is the remainder when 11 is divided by l?
4
Suppose -3*m + 2*g = -481, 2*g + 808 = 5*m + 5*g. Calculate the remainder when 656 is divided by m.
12
Let b(f) = -2*f**3 + 5*f**2 + 3*f + 4. Calculate the remainder when (14 + -9)/(0 - -1) is divided by b(3).
1
Calculate the remainder when 349/5 + 6/5 is divided by 12.
11
Let l be (-3)/(-9)*3*-6. Let n = l - -2. Calculate the remainder when 1*26*(-2 - n) is divided by 18.
16
Let n(t) be the third derivative of t**6/120 - t**5/12 - t**4/3 + 7*t**3/3 - 11*t**2. Calculate the remainder when n(6) is divided by 1.
0
Let g(y) = -y**3 + 16*y**2 - 17*y - 3. Suppose -2*t - 2*f + 60 = 0, 3*t - 10*f = -14*f + 89. What is the remainder when g(14) is divided by t?
27
Suppose -3*w = 5*m - 55, -3*m + 24 = w - 13. Suppose -3*t = -2*t - m. Let g(f) = f**2 - 5*f - 9. Calculate the remainder when t is divided by g(7).
4
Suppose 0 = 19*n - 56*n + 555. Suppose h = 3*h - 10. Let i(z) = 2*z**2 + 2*z - 4. Calculate the remainder when i(h) is divided by n.
11
Let v be -1*(-3)/(6/(-4)). Let x be 2 + 2 + 1 + v. Suppose 3*r - x*q = 30, 0*r + r - 7 = -2*q. What is the remainder when 26 is divided by r?
8
Suppose 0 = 120*p - 112*p - 152. What is the remainder when 69 is divided by p?
12
Suppose -2*p + 20 = -3*z + z, -2*p = 5*z + 15. What is the remainder when 5 is divided by p?
0
Let t(k) = -2*k**2 - 19*k + 18. Let z be t(-9). Let i = 35 - z. Suppose 4*j - 5*p = 57, -4*j + 46 + 10 = -4*p. Calculate the remainder when j is divided by i.
5
Let k(i) = -i**3 - 3*i**2 - 1. Let b be k(-3). Let u be b/(-2)*(-2 - -4). Calculate the remainder when 17 is divided by u*-1 + 33/3.
7
Let c(m) = m**3 - m + 1. What is the remainder when 4 is divided by c(1)?
0
Let v(g) = 1. Let x(r) = -6*r + 12. Let c(i) = 12*v(i) - x(i). Let w = -52 - -56. Calculate the remainder when 71 is divided by c(w).
23
Suppose 2*u - 4 = -4*l, -5*u + 0*l + l = -54. Let r be 20/4*u/(-2). Let y = r + 53. Calculate the remainder when y is divided by 10.
8
Let c = 3 - -3. Let g = c + -2. Calculate the remainder when 31 is divided by (-9)/(-36) + 43/g.
9
Suppose 2*b + 5*g - 219 = 0, -5*b + 414 = -b + 2*g. Suppose r = 2*v - 39, 4*v - r - b = -v. Let x = -146 + 185. What is the remainder when x is divided by v?
18
Suppose 4*p - 172 = -4*d, 104*d - 37 = 103*d - 3*p. What is the remainder when d is divided by 0 - (-6 + (-1 - 0))?
4
Let v(d) = -d + 5. Let r be v(3). Suppose 0 = g - r*g. Calculate the remainder when 3 is divided by (3 + g)*(-6)/(-9).
1
Calculate the remainder when 820/36 - 2/(-9) is divided by 6.
5
Let d(z) = -36*z - 14. What is the remainder when d(-6) is divided by 23?
18
Let q(i) = 3*i**2 - 6. Let b be q(-3). Calculate the remainder when 25 is divided by (-2)/(-7) - ((-495)/b)/5.
0
Suppose p - 20 + 6 = 0. Let u(b) = b**2 + 3*b - 46. Calculate the remainder when u(7) is divided by p.
10
Let f(y) = y + 8. Let k(s) = -s**3 - 10*s**2 - 31*s - 93. What is the remainder when k(-8) is divided by f(6)?
13
Let z(a) = -a**3 - 7*a**2 + 6*a + 15. Suppose -5*q + 5 = -x, -2*q + 6*q - 8 = 0. Suppose x*j - 32 = j. What is the remainder when z(-8) is divided by j?
7
Suppose w - 373 = 2*s + 781, -3*w + 3442 = 4*s. Calculate the remainder when w is divided by 144.
142
Suppose -3*m - 13 = 4*f, -4*f + 1 = -4*m + 21. Calculate the remainder when 26 is divided by f/(-18) - 310/(-45)*2.
12
What is the remainder when (9/6 + 3/(-18))*246 is divided by 37?
32
Suppose 14*o - q - 41 = 12*o, -2*o - 2*q + 32 = 0. Calculate the remainder when 30 is divided by o.
11
Suppose 0 = 4*g - g + 3. Calculate the remainder when (18/36)/(g + (-23)/(-22)) is divided by 7.
4
Suppose -147*i = 3*i - 3150. Suppose 0 = 5*m + k - 3*k - 302, -m = 3*k - 57. Calculate the remainder when m is divided by i.
18
Suppose 3*s - s - 16 = -m, 0 = 2*m - 5*s + 4. Let t(f) = -3 + f + 18 - 3*f + 4*f. Calculate the remainder when t(7) is divided by m.
5
What is the remainder when (4*(-2)/2)/(4/(-138)) is divided by 54?
30
Suppose 2*t - 3*n + 319 = -2*n, 4*t + 617 = -5*n. Let h = -137 - t. Calculate the remainder when h is divided by 10.
1
Suppose 0 = n + 5 - 16. Let d = -47 - -34. Let y = -6 - d. Calculate the remainder when n is divided by y.
4
Let h(g) = -g**3 - 37*g**2 + g + 64. What is the remainder when 93 is divided by h(-37)?
12
Suppose -297 = -2*u - c, 2*u - 131 = -2*c + 169. Suppose 4*w = -2*a + 102, 19*w - 17*w + 3*a - 53 = 0. Calculate the remainder when u is divided by w.
22
Suppose 0 = u + z - 7, -4*z - 3 + 23 = 0. Suppose -3*c - 2*c - 3*n + 200 = 0, -4*c + u*n = -138. What is the remainder when c is divided by 13?
11
Let q = 117 + 64. What is the remainder when q is divided by 37?
33
Suppose 3*f = -3*l + 5*f + 510, 0 = l + 2*f - 162. Suppose -95*w + 97*w = l. Calculate the remainder when w is divided by 29.
26
Suppose -12 = -4*h, 6 = -4*q + 6*q + 2*h. Suppose -m = 5*s - 52 - 52, -s + 3*m + 24 = q. What is the remainder when 125 is divided by s?
20
Suppose 44 = -14*d + 16*d. Calculate the remainder when 32 is divided by d.
10
Let f = 6 + -13. Calculate the remainder when (-5 + -7)*30/(-24) is divided by (-65)/f + 4/(-14).
6
Suppose -3*v = -502 - 29. Suppose -5*w = -2*w - v. Suppose -n + o + 16 = 0, 0*o + o - w = -4*n. What is the remainder when n is divided by 9?
6
Suppose 0 = 4*w + 50 - 110. Calculate the remainder when 57 is divided by w.
12
Let a(w) = -19*w - 4. Let g be 1/((1 - -3)/(-16)). Let c be a(g). Calculate the remainder when ((-9)/(-12))/(2/c) is divided by 15.
12
Let p(m) = 12*m + 4. What is the remainder when (2/(-4))/((-5)/1110) is divided by p(2)?
27
Let g(c) = c**3 + 6*c**2 - c - 6. Let k be g(-6). Suppose 4*n + 0*n - 16 = k. Let q = 20 - 11. What is the remainder when q is divided by n?
1
Suppose 15*d = 8*d + 21. Suppose -m = d*t - 22, 4*m - 15 - 9 = -4*t. Calculate the remainder when 53 is divided by t.
5
Suppose 6*k - 3*k - 22 = -5*u, -2*u = -5*k + 16. Let j be k/(-6) + 4/(-12). Calculate the remainder when 32 + j + -2 + 3 is divided by 11.
10
Suppose -5*q = 2*o - 1 - 12, 5 = 5*q. Suppose 2*n - 18 = -j, -5*j + 3 + 24 = 3*n. Calculate the remainder when n is divided by o.
1
Let h(p) = -5*p - 8. Calculate the remainder when 31 is divided by h(-7).
4
Suppose -y - 3 = -2*w, -3*w + 1 = -14. Let c(l) = l**2 - 4*l - 6. What is the remainder when 25 is divided by c(y)?
10
Let o = -47 - -23. Let i = 39 + o. What is the remainder when i is divided by 9?
6
Suppose 0 = -5*u + 2*n + 259, -10*n + 155 = 3*u - 11*n. Calculate the remainder when u is divided by 9.
6
Suppose 26*f - 261 = 129. Calculate the remainder when 178 is divided by f.
13
Calculate the remainder when (-2)/(-9) + 16412/99 is divided by 56.
54
Suppose 0 = 