d. What is the remainder when o is divided by 10?
8
Suppose o + 5*u - 9 = 4*o, -3*o - 36 = 4*u. Let t(v) = -v**2 - 10*v - 5. Calculate the remainder when 54 is divided by t(o).
10
Suppose -4*r + 4 = -4. Suppose 0 = 4*v - r*v + 30. Let w = 29 + v. What is the remainder when 40 is divided by w?
12
Let p = 23 - 7. What is the remainder when p is divided by 6?
4
Let w(p) = -2*p + 17. Calculate the remainder when w(-8) is divided by 17.
16
Let r = 83 - 62. Calculate the remainder when 80 is divided by r.
17
Let l = 55 + -39. What is the remainder when l is divided by (22/33)/((-2)/(-27))?
7
Let d(b) = -b**2 + b + 5. Let j be d(-4). What is the remainder when 41 is divided by (j/(-25))/(1/35)?
20
Suppose 3*f + 80 = 7*f. What is the remainder when f is divided by 11?
9
Suppose 0 = 4*w + 4 + 4. Let r(m) = -m**3 - m**2 + m. Let o be r(1). What is the remainder when 35 is divided by 23/2 + o/w?
11
Let t(d) = d**3 - d**2 + d + 1. Let r(p) = 3*p**3 - 14*p**2 - 6*p + 16. Let n(s) = -r(s) + 2*t(s). Calculate the remainder when n(12) is divided by 21.
19
Let p(u) be the second derivative of u**5/20 - 5*u**4/12 + u**3/3 + u**2 + u. Calculate the remainder when p(5) is divided by 5.
2
Let u be (-14)/49 + (-144)/(-14). Suppose -3*s + 3*c + 36 = 2*c, s - u = c. What is the remainder when (-2)/4*-2 - -50 is divided by s?
12
Let v = 41 + -12. Suppose -j = 3*y - 36, j + 4*y - 34 = 4. Suppose 2*d = -d + j. What is the remainder when v is divided by d?
9
Let m(f) = -f**3 - 8*f**2 - 8*f + 13. What is the remainder when 0 + (-1 - (-60)/1) is divided by m(-7)?
19
Let h(y) = -3*y + 4. Let t be h(6). What is the remainder when (-82)/(-7) + 6/21 is divided by -2*t/(-8)*-2?
5
What is the remainder when (-3 - -105)*(-1 - -2) is divided by 21?
18
Let j be 2/1 - (-1 - -3). Suppose 4*s - 42 - 46 = j. Calculate the remainder when s is divided by (-256)/(-40) - (-4)/(-10).
4
What is the remainder when (-2)/18*-6*(59 + -5) is divided by 8?
4
Suppose 2*q = 4*x + 7*q - 656, 0 = -2*x + q + 328. Calculate the remainder when x is divided by 56.
52
Let p(r) = -r**3 + 11*r**2 + 10. What is the remainder when 27 is divided by p(11)?
7
Suppose -x - 3*q = -1314, q - 2638 = -6*x + 4*x. Calculate the remainder when (-2)/3*x/(-16) is divided by 19.
17
Let t be (-4)/(-3)*(4 - 1). Let z = 8 - t. What is the remainder when 14 is divided by z?
2
Let v(b) = -b**3 + 3*b**2 + 4*b + 4. Let t be 0/(-1 - 0) + 6. Calculate the remainder when t*(1 + 0/2) is divided by v(4).
2
Suppose -70 = -11*c + 18. What is the remainder when 29 is divided by c?
5
Suppose 0 = 4*b - 2*b + 20. Let l(r) = r**2 + 8*r. Suppose 0*k = -5*k + 195. Calculate the remainder when k is divided by l(b).
19
Let f(u) = 6*u**2 + 13*u**2 - 3*u**2 + u. Let o be f(2). Let j = o - 47. Calculate the remainder when j is divided by 10.
9
Let j(g) = -g**2 - 3*g - 3. Let l(z) = z**3 + 4*z**2 + z + 2. Let d be l(-4). Let b be j(d). Calculate the remainder when (65/15)/(b/(-3)) is divided by 7.
6
Let g = 105 - 61. Calculate the remainder when g is divided by 24.
20
Suppose -6*w = -4 - 314. Let o(r) = -r + 14. What is the remainder when w is divided by o(0)?
11
Let i = 11 + -6. Suppose q + 1 = 4*t - 6*t, -i*t - 3*q = 1. Let w(h) = -h. Calculate the remainder when w(t) is divided by 2.
0
Let n be (2 - -57) + -1 - 0. Suppose 0 = -4*y + 4*p - 156, 4*y = 3*p - 158 - 0. Let j = n + y. Calculate the remainder when 49 is divided by j.
15
What is the remainder when 29 is divided by ((-4)/(-2))/(3 - (-69)/(-24))?
13
Let f(u) = -u**3 - 4*u**2 + 4*u + 3. Calculate the remainder when (3/12 - 114/8)*-2 is divided by f(-5).
4
Let d(o) = -o + 7. Let b be d(7). Suppose 5*x + 7 - 2 = b. What is the remainder when (1 + 0)*(37 - x) is divided by 13?
12
Let o = 13 + -12. Calculate the remainder when ((4 + 23)*1)/o is divided by 14.
13
Let a(o) = 7*o**2 + 0*o**2 + 2*o**2. Calculate the remainder when a(2) is divided by 19*(-1 - (-4)/2).
17
Let s = -26 - -83. What is the remainder when s is divided by 15?
12
Let d = 199 + -125. Calculate the remainder when 33 is divided by d/8 - (-4)/(-16).
6
Suppose 4 = 2*s, 0*p + p + 4*s - 43 = 0. Let q be 8/20 + (-122)/5. What is the remainder when p is divided by ((-4)/8)/(1/q)?
11
Suppose -5*v = -0*v - 20. Let f be 15/1*(-4)/(-6). Suppose -3*k + f = -2*k. Calculate the remainder when k is divided by v.
2
Suppose 3*b + 89 = 14. Let h = b + 48. Suppose 0 = 4*l - 2*q - 14 - 20, 0 = -5*l - 4*q + 36. What is the remainder when h is divided by l?
7
Suppose k - 10 = -0*k. Let z be (2 - -1) + 55*1. Suppose 3*l - z - 53 = 0. What is the remainder when l is divided by k?
7
Let f = 45 + -5. What is the remainder when f is divided by 14?
12
What is the remainder when 4/8*1 + 226/4 is divided by 30?
27
Suppose 5*l - 2*l - 48 = 0. What is the remainder when 126 is divided by l?
14
Let i(c) be the first derivative of -c**3/3 + 6*c**2 - 14*c + 4. Calculate the remainder when 23 is divided by i(10).
5
Suppose 0*w + 8 = w. Let x = 2 + 1. Suppose 0*q - 18 = -q - 3*j, 0 = x*j - 15. Calculate the remainder when w is divided by q.
2
Let s(r) = r**2 + 8*r - 9. Let d be s(-7). Suppose 3*q - 4*h + 14 = 0, 3*q - 5*h + 4 = -15. What is the remainder when d/(-6) + (-2)/(-6) is divided by q?
1
Suppose 3*f - 18 = -0*f. Let k = 38 - 21. Calculate the remainder when k is divided by f.
5
Let n = -463 - -659. Calculate the remainder when n is divided by 9.
7
Suppose 145 = 4*x + x. What is the remainder when 114 is divided by x?
27
Let i(n) = 2*n**2 + 1. Let z = 5 - 3. Calculate the remainder when (-1)/z*2*-17 is divided by i(2).
8
Let j = -84 - -127. Let x be (68/6)/((-1)/3). Let o = x + 49. Calculate the remainder when j is divided by o.
13
Let j(d) = 13*d + 3. Let x = -6 + 23. Calculate the remainder when j(3) is divided by (x - -5)*2/2.
20
Let q = -61 - -138. Suppose -3*o + 15 = 0, -t - 4*o = -o - q. Calculate the remainder when t is divided by 16.
14
Suppose x = -3*v + 15, 3*x - 6 = -2*v + 6*v. Calculate the remainder when 16 is divided by x.
4
Let q(i) = 3*i**2 - 2*i - 3. Let b be q(-2). Let c = b + 16. Calculate the remainder when c is divided by 15.
14
Let v(n) = -n**3 + 6*n**2 + n + 8. Let m be v(6). Calculate the remainder when (m/3)/((-8)/(-60)) is divided by 12.
11
Let y(v) = 12*v**3 + 2*v**2 + v. Let n be y(-1). Let f = n - -15. What is the remainder when f is divided by 2?
0
Suppose r = 5*c - 22, 2 = 4*c - r - 16. Let v(o) = 7*o - 6. What is the remainder when v(c) is divided by 8?
6
Let r = -46 + 53. What is the remainder when 24 is divided by r?
3
Let x = -18 + 33. What is the remainder when 74 is divided by x?
14
Let i be -17*(-2 - 1)*-1. Let d = i - -88. Let x(n) = n**3 - 2*n**2 - 5*n + 1. Calculate the remainder when d is divided by x(4).
11
Let f = 36 + -51. Let m(u) = -u**2 - 18*u - 6. Let i be m(-13). Let v = i + f. What is the remainder when v is divided by 15?
14
Suppose 3 = -c - 2*f, -6 = -3*c + 2*f + 9. Suppose 0 = 8*q - c*q - 175. What is the remainder when 103 is divided by q?
33
Let c = -1 + 2. What is the remainder when -2 - -1 - c*-2 is divided by 1?
0
Let x(y) = -y**3 + 6*y**2 - 3*y - 4. Let b(p) = -p**2 - p - 2. Let k be b(-5). What is the remainder when (k/(-4))/((-1)/(-2)) is divided by x(5)?
5
What is the remainder when 41 is divided by 1221/88 - 2/(-16)?
13
Suppose 0 = -2*v + 2*p + 2*p + 142, -229 = -4*v - 3*p. Calculate the remainder when v is divided by 22.
17
Let i = -3 + 6. Suppose -67 = -5*o + i. Calculate the remainder when o is divided by 8.
6
Let b be (-16)/(-10) + 8/20. Suppose -b*o + 104 - 38 = 0. What is the remainder when o is divided by 9?
6
Let x = 37 + 50. What is the remainder when x is divided by 22?
21
Let l be 0/(0 + (-2 - -4)). Suppose l = -2*j + 10. What is the remainder when 6*j - (-1 - 0) is divided by 16?
15
Let z(d) = -3*d**3 - d**2 - 3*d - 1. Let l = 33 - 19. Calculate the remainder when z(-2) is divided by l.
11
Suppose -3*l + 5*b = -l, 5*l - 19 = 3*b. Suppose l*w = 36 + 29. Calculate the remainder when w is divided by 7.
6
Suppose 0 = 4*x + 4*u - 616, 41 = -3*x - u + 497. What is the remainder when x is divided by 17?
15
Suppose 3*f - 2 = 2*f. Suppose f*n = 7*n - 65. What is the remainder when n is divided by 5?
3
Suppose 5*t - 8*t + 15 = 0. Suppose 0 = 4*y - 37 - 11. What is the remainder when y 