k. Suppose -z - 4*z - 125 = -5*o, 3*o = 5*z + 125. Let g = z + 43. Calculate the remainder when k is divided by g.
16
Let d = 9 - 5. Suppose -5*o = -5*h + 85, d*o + 0*o + 84 = 5*h. What is the remainder when h is divided by 9?
7
Suppose -3*h = 2*h + 75. What is the remainder when 114/h*(-15)/6 is divided by 7?
5
Suppose 4*q = 18 + 2. Let x = 4 + -3. Let c(w) = 13*w**3 + w**2 - 1. Calculate the remainder when c(x) is divided by q.
3
Let z = 30 - -74. What is the remainder when z is divided by 37?
30
Let z be (8 - 5)*(-4)/3. Let d(o) = -4*o - 2. Suppose 0*r + 2*r - 80 = 4*v, 40 = r + 3*v. Calculate the remainder when r is divided by d(z).
12
Suppose -2*i = 3*d - 34, d - 1 = 4*i + 29. Let s = 9 - 5. What is the remainder when d is divided by s?
2
Let y(t) = -t**3 + 14*t**2 + 19*t + 8. What is the remainder when y(15) is divided by 10?
8
What is the remainder when 34 is divided by (7/6)/(5/30)?
6
Suppose -4*z + 3*c = 9 + 24, 3*z + 46 = -2*c. Suppose 21 = 6*p - 111. Let y = p + z. Calculate the remainder when 17 is divided by y.
7
Let l = 33 - 20. What is the remainder when l is divided by 8?
5
Suppose -6*j = -161 - 7. Suppose 3*h + 4*t = 2*t + 337, -5*t + 10 = 0. Calculate the remainder when h is divided by j.
27
Let r(n) = n**2 + n + 2. Let b(p) = p**2 - 11*p - 9. Let d be b(12). What is the remainder when r(d) is divided by ((-16)/10)/(2/(-10))?
6
Suppose 2*h = 5*h - 15. Suppose -5*j = 5*s - 35, s + h*j + 4 + 9 = 0. Let x = 15 - 10. Calculate the remainder when s is divided by x.
2
Let m = 9 + -5. What is the remainder when 15 is divided by m?
3
What is the remainder when (0 - -1)/((-12)/(-324)) is divided by 8?
3
Let w = -17 + 21. What is the remainder when 13 is divided by w?
1
Suppose 3*d = 5*o + 2*d - 1193, -5*d + 699 = 3*o. What is the remainder when o is divided by 30?
28
Suppose -j = -4*j + 63. Calculate the remainder when 4/(-3 - 1) + 41 is divided by j.
19
Let h be 4/(-22) + (-48)/(-22). Suppose h*a = -5*p - 88 - 73, -3*p - 2*a = 95. What is the remainder when 4*p/(-6) - 0 is divided by 8?
6
Let b = -18 - -42. What is the remainder when b is divided by (-2)/(-4)*2*9?
6
Let q = 16 - 1. Suppose -32 = -5*n - 162. Calculate the remainder when q is divided by ((-8)/3)/(n/39).
3
Let l(t) = 3*t - 12. Let j be l(12). What is the remainder when 9 is divided by (j/14)/((-2)/(-7))?
3
Let d(z) = z**3 - 5*z**2 - 7*z + 6. Let j be d(6). Suppose -18 = -j*x - 5*x - 4*n, -4*n + 12 = 4*x. What is the remainder when 21 is divided by x?
3
Suppose 2*l - 2*r - 21 = 61, -r = 5*l - 211. Suppose -a - l = -4*a. What is the remainder when 27 is divided by a?
13
Let t be -1 - -2 - (1 + 12). Let s = t + 14. Calculate the remainder when 8 is divided by s.
0
Let s be 1 - -94*(-3)/(-6). Suppose 3*w = 2*r + 15 - 42, -5*r + w = -s. Calculate the remainder when r is divided by 6.
3
Let p(r) = 9*r**3 - 3*r**2 - 6*r + 2. Let b(g) = 8*g**3 - 2*g**2 - 6*g + 2. Let m(x) = -4*b(x) + 3*p(x). Calculate the remainder when m(-3) is divided by 27.
25
Let l(r) = r + 9. Let q be l(-7). Suppose -q*z + 2*t - 3*t + 7 = 0, 0 = 3*t - 3. Calculate the remainder when z is divided by 1.
0
Let u(p) be the first derivative of -p**4/4 + 5*p**3/3 + 9*p**2/2 - 9*p - 1. Calculate the remainder when u(6) is divided by 6*(0 - (0 - 1)).
3
Let r(w) = -w + 1. Let z be r(-3). Calculate the remainder when 3/(z*3/12) is divided by ((-5)/10)/((-1)/2).
0
Suppose 0 = -5*b + 164 - 39. Let o = b - 16. Calculate the remainder when 35 is divided by o.
8
Suppose 2*d + 143 = 3*x, 3*x = -x + 4*d + 188. What is the remainder when 194 is divided by x?
47
Suppose 3*c = -5 + 53. Let h = -8 + c. Calculate the remainder when 22 is divided by h.
6
Let t(l) be the second derivative of -l**5/20 + 2*l**4/3 - 7*l**3/6 + 7*l**2/2 + 5*l. Suppose 3*v - 39 + 3 = 0. What is the remainder when v is divided by t(7)?
5
Let x = 40 - 24. Let d = x + -3. What is the remainder when 51 is divided by d?
12
Suppose 0*w = -4*w. Suppose o + w*o - d - 17 = 0, -80 = -5*o + 4*d. Calculate the remainder when 59 is divided by o.
11
Calculate the remainder when 9 is divided by 2*(3 + 3 - 3).
3
Suppose 67*d + 44 = 71*d. Calculate the remainder when 41 is divided by d.
8
Let v = 20 - 9. What is the remainder when 20 is divided by v?
9
Let l = 59 - 50. What is the remainder when 19 is divided by l?
1
Let b = 2 + 1. Suppose 4*l - 5*k - 8 = 3*l, l - 4 = b*k. What is the remainder when 2*(-3)/12*l is divided by 1?
0
Suppose 1 + 47 = i. Calculate the remainder when i is divided by 19.
10
Suppose 2*g - 41 = m, -3*m - 25 = -g + 2*m. What is the remainder when 79 is divided by g?
19
Let z be 45/(-15)*(-2 + 1). Suppose -2*j + 0*j = z*i - 19, 10 = 5*j. Calculate the remainder when i is divided by 2.
1
Suppose 4*t + 5 = -t + 3*r, -25 = -5*r. Calculate the remainder when 5 is divided by t.
1
Let p = -31 + 36. What is the remainder when 6 is divided by p?
1
Let n = 28 - 17. Let b = n + 1. What is the remainder when 23 is divided by b?
11
Suppose 375 = t + 4*t. Calculate the remainder when t is divided by 26.
23
Let q = 18 + 6. Let u(g) = -g**3 + 8*g**2 - g + 10. Let f be u(8). Calculate the remainder when q is divided by f*13*(-1)/(-2).
11
Let n be 51 + -3*(2 + -3). Suppose -5*y = n - 184. Calculate the remainder when y is divided by 15.
11
Suppose -4 = z - 2. What is the remainder when 49 is divided by (-2)/z - -2*8?
15
Let d(k) = -2*k**2 + 6*k - 1. Let z be d(4). Let x(g) = 3*g + 1. Let n be x(5). Let a = z + n. Calculate the remainder when 12 is divided by a.
5
Let n(g) = 40*g + 60. Let d(p) = 8*p + 12. Let b(q) = 14*d(q) - 3*n(q). What is the remainder when b(-6) is divided by 13?
10
Let q = 75 + -8. Calculate the remainder when q is divided by 34.
33
Let t(n) = -n - 5. Suppose 0 = l - 1 - 4. Let s(b) = b**2 + b - 7. What is the remainder when s(l) is divided by t(-18)?
10
Suppose k = 5*v + 32, -4*k + 9*k = 3*v + 50. What is the remainder when 40 is divided by k?
5
Let y(b) = -b**2 + b + 8. Calculate the remainder when (-1)/(2/(-30)) - 6/6 is divided by y(0).
6
Let v(f) = -39*f - 1. Suppose 0*d - d = 34. Let s = -21 - d. What is the remainder when v(-1) is divided by s?
12
Let y(o) = -5*o - 31. Calculate the remainder when 25 is divided by y(-8).
7
Suppose 3 = 5*v + w - 7, 4*w - 6 = -3*v. Suppose -z + 4 = -2*z + 5*u, 2*u - 1 = z. Suppose 3*i - z = v. Calculate the remainder when i is divided by 1.
0
Let r(v) = 5*v**2 - 10*v + 21. What is the remainder when r(5) is divided by 27?
15
What is the remainder when (-1 + -1)/((-1)/17) is divided by 18?
16
Let c(d) = -d**2 + d + 78. Calculate the remainder when c(0) is divided by 20.
18
What is the remainder when ((-452)/(-6))/((-6)/(-9)) is divided by 29?
26
Let x(b) = -13*b**3 + 2*b**2 + b. Let p = 32 + 22. Suppose 0 = v - 4*t - 10, 3*v = -2*t + p + 32. What is the remainder when v is divided by x(-1)?
12
Suppose -10*h = -482 - 348. Calculate the remainder when h is divided by 21.
20
Suppose -4 = 2*j + 8. What is the remainder when (216/(-30))/(j/20) is divided by 7?
3
Let y(m) = -m**3 + 9*m**2 - 5*m + 6. What is the remainder when y(8) is divided by 17?
13
Suppose -5*k = -4*p - 17, 3*p - 6*k = -k - 19. Suppose -p*a = -20 - 2. Calculate the remainder when a is divided by 3*(-2 + 5 + -1).
5
Let c = 1 + 4. Let s be 4/(-4) + (-8)/(-2). Suppose s*r - 5*j = 178, 4*r + r = c*j + 280. What is the remainder when r is divided by 26?
25
Let h(g) = 10*g - 9. What is the remainder when h(5) is divided by 12?
5
Suppose -12*f - 66 = -246. Suppose 5*x - 3*x = 16. Calculate the remainder when f is divided by x.
7
Suppose 6*f + 4*j - 50 = 4*f, -2*f + 51 = 3*j. Calculate the remainder when f is divided by 14.
13
Suppose 5 = -r + 2*r + 2*k, 3*r - 12 = -3*k. Suppose -m + 244 = r*m. Let x(z) = -2*z**3 - 5*z**2 - 4*z. What is the remainder when m is divided by x(-3)?
19
Suppose 4*t = 2*t + 10. Suppose u - 2*a - 9 = 0, 3*a - t*a = 3*u - 43. Let z(k) = -k**2 + 6*k + 5. What is the remainder when u is divided by z(6)?
3
Suppose -2 = -4*g + 6. What is the remainder when (0 + 2)/(2/3) is divided by g?
1
Let k(p) = p**3 + 2*p + 1. Let o(f) = 6*f**3 - f**2 + 9*f + 4. Let l(v) = 11*k(v) - 2*o(v). Let j = 2 - 4. Calculate the remainder when 21 is divided by l(j).
10
Let t(v) = v**3 + v**2 + 10. Let u be t(0). Let l be (-2)/(-5) + (-4)/u. Le