remainder when (-18 - 0/(-2))/((-771)/514) is divided by f.
5
Let c be ((-84)/(-16) - 5) + (-742)/(-8). Let r = -28 + c. Calculate the remainder when r is divided by 17.
14
Suppose 7*d - 59 = 221. Let k(n) = -3*n + 7. Let z be k(6). Let p = 25 + z. What is the remainder when d is divided by p?
12
Suppose 0 = 2*u + 5*j - 19, 0 = -4*u - j - 3*j + 32. Let w = -122 - -49. Let k = -48 - w. What is the remainder when k is divided by u?
4
Suppose -3*c = 6, -2*l - 3*c = -5*l + 42. Suppose -4*h = -l + 64. Calculate the remainder when (-561)/h - 4/26 is divided by 12.
7
Suppose 0 = -2*q + 4*q - o - 13, -2*q - o + 7 = 0. Suppose 4*t - t = 30. Suppose -t = -4*y + 62. What is the remainder when y is divided by q?
3
Let g = -15 - -38. Suppose -l - 2 = -7. Suppose l*d + 0*o - 4*o = 77, 54 = 3*d - 5*o. What is the remainder when g is divided by d?
10
Let t = -34 - -54. Suppose 6*r - 5 = 1. Let m = r + t. What is the remainder when m is divided by 11?
10
Let c(w) = 2*w**2 - 5*w + 3. What is the remainder when ((28/6)/(-14))/((-1)/327) is divided by c(5)?
25
Let p(t) be the third derivative of 2*t**5/15 - t**4/24 + 8*t**2. What is the remainder when 32 is divided by p(-1)?
5
Suppose -2*b = -b. Let c be (1 - 1)/(2 - b). Suppose c = 3*g - 5*w - 12 - 1, -4*w - 28 = -4*g. Calculate the remainder when 43 is divided by g.
10
Let w be 182/((-3)/((-6)/4)). Let f = 152 - w. Calculate the remainder when f is divided by 16.
13
Suppose 10*y - 229 = 631. What is the remainder when 86 is divided by y?
0
Let q(r) = 36*r**2 + 15*r - 14. Calculate the remainder when 159 is divided by q(1).
11
Suppose -5*c = l + 33, 0 = c + 4*c - 2*l + 24. Let h = c + 14. Suppose -a - 3*m + h = -0*m, a - 3 = 2*m. What is the remainder when 8 is divided by a?
3
Let d be (1 - 2)/((-1)/19). Calculate the remainder when (38/(-2))/(d/(-19)) is divided by (-2 + 3)/(2/10).
4
Suppose 3*b - 3*c - 100 = -31, -c = 4. Calculate the remainder when 72 is divided by b.
15
Suppose 2*f + 2*u = -f + 33, 4*f = 3*u + 27. Let a = 0 - 0. Suppose a = 2*p + p + b - 76, -4 = 2*b. Calculate the remainder when p is divided by f.
8
Suppose 11*o - 723 = 1906. What is the remainder when o is divided by 60?
59
Let a(s) = -34*s**2 - 3*s + 3. Let r be a(-3). Let z = -28 - -31. Calculate the remainder when r/(-35) - (-6)/(-15) is divided by z.
2
Suppose -3*d + 13 + 5 = 0. Let j(z) = -7 + z + 2*z + 9*z. Calculate the remainder when j(d) is divided by 22.
21
Let j(t) be the second derivative of -t**4/12 - 3*t**3/2 - 2*t**2 - 4*t. Calculate the remainder when j(-7) is divided by 4.
2
Let b be ((-3)/2 - -1)/((-4)/496). Suppose 3*h + q + 7 = b, 4*q = -5*h + 87. Calculate the remainder when h is divided by ((-2)/4)/((-2)/40).
9
Let k = 135 - 191. Let a = k - -97. What is the remainder when a is divided by 14?
13
Suppose -3*u + 2*u = 95. Let t = 183 + u. Calculate the remainder when t is divided by 18.
16
Suppose 9*v - 14*v = 0. Suppose v = 5*k - 11 - 29. Suppose -4*m = m - 15. What is the remainder when k is divided by m?
2
Suppose 0 = 2*y + 11*i - 8*i - 107, 305 = 5*y - 5*i. Calculate the remainder when y is divided by 49.
9
Suppose -5*l - 4*n - 90 = -274, -2*l = -4*n - 68. Suppose -o + 276 = 3*o. What is the remainder when o is divided by l?
33
Suppose -3*a + 6 + 3 = 0. Suppose 2*p = -a*p + 25. What is the remainder when -3 + 312/20 - (-21)/(-35) is divided by p?
2
Suppose -267 - 492 = -3*r. What is the remainder when r is divided by 22?
11
Suppose -3*o + 190 + 38 = 0. Let n = -41 + o. What is the remainder when n is divided by 18?
17
Let d(r) = -r**3 + 6*r**2 - 2*r - 5. Let b(k) = 3*k - 18. Let v be b(15). Let f = v + -20. What is the remainder when d(4) is divided by f?
5
Let u = -56 + 59. Suppose 1 = -b - u*k + 22, 13 = 3*b - k. Calculate the remainder when 59 is divided by b.
5
Let m(z) be the second derivative of -5*z**2 + 0 - z - 4/3*z**3. Calculate the remainder when 54 is divided by m(-3).
12
Let a = -39 - -55. What is the remainder when (5/(-3))/(2/(-36)) is divided by a?
14
Let j(k) = 6*k + 63. Calculate the remainder when j(-7) is divided by 13 + (-2 + 1 - -1).
8
Let s(i) = 20*i**3 - i**2 - 6*i + 8. Let r(f) = -19*f**3 + f**2 + 5*f - 7. Let b(h) = 7*r(h) + 6*s(h). What is the remainder when b(-1) is divided by 5?
4
Suppose 6*w - 4*w - 2 = 0, -a = 3*w - 78. Let v = 36 + -32. Suppose k + 5*y - 166 = -3*k, -148 = -v*k + 4*y. What is the remainder when a is divided by k?
36
Let y = 73 + -54. What is the remainder when 34 is divided by y?
15
Calculate the remainder when 299 is divided by 155/10 - ((-14)/(-4))/7.
14
Let l = 900 - 450. Suppose 5*h + l = 11*h. Calculate the remainder when h is divided by 19.
18
Suppose -6*w + 17*w = 737. What is the remainder when w is divided by 17?
16
Suppose -3*d - 116 = -407. Calculate the remainder when 290 is divided by d.
96
Suppose 20*l + 715 = 31*l. Calculate the remainder when l is divided by 45.
20
Let y = -65 + 77. Calculate the remainder when 36 is divided by 10/y + -1 - (-1501)/114.
10
Let s be 1/(3/6)*1. Let o(k) = 3*k**2 - k - 2. Let r be o(s). Calculate the remainder when -20*-1*4/r is divided by 3.
1
Let g = -11 - -37. Let o(r) = -3*r**2 + 24*r + 13. Let d be o(6). Suppose -d*f + 54*f - 70 = 0. What is the remainder when g is divided by f?
12
Let l(h) = 17*h**3 + h**2 + 9*h - 20. What is the remainder when l(2) is divided by 16?
10
Let u = -57 + 84. Suppose 8 + 2 = 5*j. What is the remainder when u is divided by (2 + -17)*j/(-3)?
7
Let n = 469 - 395. What is the remainder when 244 is divided by n?
22
Suppose -13*c + 43*c = 1448 + 1942. Let r be (-2 + -80)*(-2)/4. Let j = r - 12. What is the remainder when c is divided by j?
26
Let y(b) = -b - 2. Let n be y(17). Let l = n + 58. Calculate the remainder when l is divided by 11.
6
Let f = 75 + -48. Let x(g) = g**2 + 26*g - 373. What is the remainder when x(13) is divided by f?
26
Suppose 12*b + 264 = 18*b. What is the remainder when 129 is divided by b?
41
Suppose -52 = 3*d + 2. Let a = -13 - d. Suppose -a*s + 98 + 7 = 0. Calculate the remainder when s is divided by 12.
9
Suppose -22 = -f - 0*f - 4*i, -3*f = 3*i - 30. What is the remainder when (-87)/(-2)*(-11 - (-6)/(270/555)) is divided by f?
4
Let p(m) = 57*m**2 + 25*m + 26. What is the remainder when 809 is divided by p(-1)?
55
Let i(l) = -l**3 - 6*l**2 - 5*l + 8. Let x(y) = 2*y**2 - 40*y - 34. What is the remainder when i(-6) is divided by x(21)?
6
Let z(r) = 3*r**2 - 24*r + 68. What is the remainder when 167 is divided by z(7)?
26
Suppose -316 = -5*q - 6. Let d = q - 59. Calculate the remainder when 8 is divided by d.
2
Let k = -27 + 54. Suppose 0 = 2*r + 4 - 20. Let i = r - -7. Calculate the remainder when k is divided by i.
12
Let q be 5*(-8)/(-20) - 0. Let f(t) = 12*t**2 - 3*t + 4. Calculate the remainder when f(q) is divided by 12.
10
Let b be (-6)/(6/4 + -3). Suppose 4 = 4*z - b. Suppose 4*v = 8*h - 4*h + 80, -z*v - 2*h = -60. What is the remainder when v is divided by 7?
4
Let h(y) = 2*y + 29. Let b be h(-11). Let t = b + 10. What is the remainder when 31 is divided by t?
14
Let p(g) = 8*g**2 + 2*g - 3. Suppose 2*i = -2, -5*l - 2*i - i + 642 = 0. Let j = 2 + l. What is the remainder when j is divided by p(2)?
32
Suppose -136 = -3*i + 2. Let s(d) = d**2 - 7*d + 7. What is the remainder when i is divided by s(7)?
4
Let l = 11 + -4. Suppose -86 = -4*x - u, -2*x = -2*u - 18 - 30. What is the remainder when x is divided by l?
1
Let p(z) be the first derivative of z**2/2 + z - 12. What is the remainder when 26 is divided by p(6)?
5
Suppose -212 + 28 = -8*w. Suppose 5*l - 5*u - 95 = 0, -3*u - w = -2*l + 20. Let o(v) = 2*v**2 - 4*v - 4. Calculate the remainder when o(-3) is divided by l.
12
Let f = 22 + -11. Suppose 4*y - 5*s - 437 = 0, -3*y + 0*s - 4*s = -320. Calculate the remainder when y is divided by f.
9
Let z = -1023 - -1540. What is the remainder when z is divided by 168?
13
Suppose -p + 72 = -27. Suppose q - 2*q + 34 = 5*x, 0 = 4*q - 5*x - 11. Calculate the remainder when 2/(-3)*p/(-2) is divided by q.
6
Suppose -143 = -l - 142. What is the remainder when 0/l + -2 - 4*-2 is divided by 4?
2
Let k(g) = g**3 + 7*g + 19*g**2 + 8 + 12*g - 7*g. Calculate the remainder when k(-18) is divided by 40.
36
Let r(m) = -m**2 + 3*m - 2. Let u be r(2). Suppose 2*s = -u*s + 42. Wha