uppose 2*o = -v*o - r + 13, 12 = 4*r. Suppose -o*g - 9 = -34. Calculate the remainder when 8 is divided by g.
3
Let d(k) = -k**2 + 10*k + 15. Calculate the remainder when d(8) is divided by 8.
7
Let p(t) = 6*t - 1. Let h(j) = 3*j**2 + j. Calculate the remainder when p(1) is divided by h(-1).
1
Let z = 81 - 45. Calculate the remainder when 107 is divided by z.
35
Let u(r) = -r - 3. Let z be u(-5). Suppose z*x + 78 = 5*x. Suppose 5*l - x = 4*v - 2, 5*v = -5*l + 15. What is the remainder when l is divided by 2?
0
Let r(y) = -2*y + y - 3 - 2. Calculate the remainder when 1 - -1 - (0 + 0) is divided by r(-6).
0
Suppose -3*g - 4*u - u = -25, -5*g - 5*u = -25. Let z be g/2 - (-9 - 0). What is the remainder when 3/((-4)/((-120)/z)) is divided by 6?
4
Let x be 1130/6 + 4/6. Suppose 0 = 5*b - 2*r - 307, -4*b = r - x - 54. Calculate the remainder when b is divided by 16.
13
Let a = -450 + 674. Suppose -4*x + a = 64. Let j = x - 28. What is the remainder when 22 is divided by j?
10
Let d(j) = -24*j + 1. Let a(r) = -25*r + 2. Let f(c) = -3*a(c) + 2*d(c). Let h be f(-3). Let w = -45 - h. Calculate the remainder when w is divided by 14.
12
Suppose 45 = 2*i + x, 0*i = 4*i + 4*x - 100. Let c = i + -2. Calculate the remainder when 51 is divided by c.
15
Suppose -20 - 4 = -4*d. Let k = 44 - d. Calculate the remainder when k is divided by 13.
12
Let v = -4 + 9. Let s = v - 2. What is the remainder when 4/(-6) + 20/s is divided by 4?
2
Let g(n) be the second derivative of n**3/2 + 2*n**2 + 2*n. What is the remainder when 43 is divided by g(6)?
21
Let o(r) = r**2 + 3*r - 7. Suppose -4*q + 0*q + 5*z = 26, -4*q - 5*z = 46. Calculate the remainder when o(q) is divided by 10.
7
Let a be 3/(-1)*(-21 - -20). Let w(f) = -f**3 + 7*f**2 - 3*f. Calculate the remainder when w(a) is divided by 14.
13
Let w(s) = 18*s - 4. Let q be w(3). Let a = q - 27. What is the remainder when a is divided by 13?
10
Let x(d) = d**2 - 7*d - 8. What is the remainder when 37 is divided by x(9)?
7
Let v = -26 - -64. What is the remainder when v is divided by 14?
10
Let l be (-2 + 3)/(1/5). Suppose 0*f + f + 36 = 0. Let p = l - f. What is the remainder when p is divided by 21?
20
Suppose 2*o + 3*o = z + 182, 2*o + 3*z = 66. Suppose 15*v - 55 = 11*v - 3*p, -5*v = 2*p - 67. Calculate the remainder when o is divided by v.
10
Let y be 22 + 4/1 + -2. Let l = -13 + y. Calculate the remainder when l is divided by 4.
3
Suppose 43 = 3*i - 17. Let d(x) = -x**2 - 7*x - 1. Calculate the remainder when i is divided by d(-4).
9
Let z = 4 + -3. Let n(b) = 5*b**3 + b**2 - 1. Let i be n(z). Suppose -75 = -i*v - 0*v. Calculate the remainder when v is divided by 4.
3
Suppose 0 = n - 5*r - 29 - 19, -2*n + 3*r + 75 = 0. Suppose 5*t - n = 82. What is the remainder when t is divided by 8?
7
Suppose 113 = 4*r + 5*s, 0 = 5*r - 7*r - s + 55. Calculate the remainder when 132 is divided by r.
24
Suppose -90 = -7*t + 5*t - 5*z, -3*t = 2*z - 124. Calculate the remainder when t is divided by 15.
10
Let h(x) = x + 15. Calculate the remainder when 29 is divided by h(-9).
5
Let j(o) = -o - 7. Let c be j(-7). Let w(b) be the third derivative of -b**5/60 + 35*b**3/6 - 2*b**2. What is the remainder when w(c) is divided by 9?
8
What is the remainder when 13 is divided by (-15)/(-10)*(4 + -2 - -2)?
1
Let l = 1 + -1. Let d = -9 - -13. Suppose d + l = -s, -f = -3*s - 25. What is the remainder when 25 is divided by f?
12
Calculate the remainder when 194*(-1)/(-1)*1 is divided by 49.
47
Suppose -3 = -t + 1. Suppose t = 3*j - j. Suppose 2*a + 2 = 0, -j*o - a + 35 = 4. What is the remainder when o is divided by 6?
4
Suppose 2*b + 210 = 4*l - 256, -l + b = -119. What is the remainder when l is divided by 30?
24
Suppose -w = -4 - 12. Calculate the remainder when 46 is divided by w.
14
Let a = -32 - -99. What is the remainder when a is divided by 14?
11
Suppose -4*v = -5 - 119. Suppose 1 = 2*o - v. What is the remainder when 30 is divided by o?
14
Let w = 4 + 9. Let g(q) be the second derivative of q**4/12 - 5*q**3/6 + q**2 - q. Calculate the remainder when w is divided by g(6).
5
Let c be (-31)/((3 - -1)/4). Let a = 80 + c. What is the remainder when a is divided by 10?
9
Suppose 0*j + 3*j - 12 = 0. Calculate the remainder when 3/(1 + 7/(-10)) is divided by j.
2
Calculate the remainder when (-6)/(-2)*(-2 - (-28)/6) is divided by 6.
2
Let b be (-3 + 2 - -4) + 0. Suppose -b*l + 33 = 3*m, -5*m + 0*m + 15 = -5*l. Calculate the remainder when 26 is divided by m.
5
Suppose 0*v + v - 4*c = 21, 0 = -5*v + 4*c + 105. What is the remainder when 104 is divided by v?
20
Suppose 2*a - 15 = -a. Let u = -5 - -11. Let g(n) = 2*n + 1. What is the remainder when g(u) is divided by a?
3
Calculate the remainder when 3*7/(-42)*(0 - 38) is divided by 4.
3
Suppose v - 2952 = 5*v. Calculate the remainder when v/(-15) - 2/10 is divided by 17.
15
Suppose -25 = 4*g + g, -4*b + 3*g + 31 = 0. What is the remainder when 13 is divided by b?
1
Let x(n) = -17*n - 3. Suppose -4*l + 26 + 33 = 3*o, 6 = -2*o. What is the remainder when x(-2) is divided by l?
14
Suppose 0*n - 3*n + 4*h + 70 = 0, -4*h - 16 = 0. Let r = n - 13. Suppose 3*o = 13 + r. What is the remainder when 17 is divided by o?
5
Calculate the remainder when (2/(-10))/(9/(-45)) is divided by 1.
0
Let b(k) = k**2 - 12*k + 2. Let g be b(15). Suppose -3*x + 34 + g = q, 0 = 4*x + 2*q - 108. Calculate the remainder when x is divided by 7.
6
Let i(z) = z**2 - 3*z - 1. Let x(w) = w**3 - 11*w**2 + 10*w + 18. Calculate the remainder when i(-7) is divided by x(10).
15
Let v be (6/(-4))/(-3)*-58. What is the remainder when (1 - 5)*v/4 is divided by 10/(-3)*3/(-1)?
9
What is the remainder when 44 is divided by -3*(23/(-3) + 0)?
21
Suppose 5*k + 36 = -44. Let o = k + 10. What is the remainder when 12 is divided by ((-2)/o)/((-2)/(-42))?
5
Suppose 3*h - 16 = -h. Let b be ((-2)/h)/(2/(-16)). Suppose 90 = 5*s - 5*v, 2*s - b*v = 4*s - 60. Calculate the remainder when s is divided by 8.
6
Suppose -4*h + 12 = -4*a, a + a + h + 9 = 0. Let g(x) = 2*x**2 + x - 3. What is the remainder when g(a) is divided by 13?
12
What is the remainder when 30 is divided by 9/6*64/6?
14
Let t(p) = -p**3 - 4*p**2 - 2*p + 1. Let v be t(-6). Suppose -5*l + v = -20. Calculate the remainder when 61 is divided by l.
19
Let u(j) = 22*j + 3. What is the remainder when u(1) is divided by 1/(-2*(-1)/14)?
4
Suppose 0 = 4*q + q - 15. Suppose 0 = -6*x + q*x + 9. Suppose u + 5 = 3*s, -s - s + 29 = x*u. Calculate the remainder when 25 is divided by u.
4
Let x = 3 + -2. Suppose x = 5*u - 4. Calculate the remainder when 1 is divided by u.
0
Let z = 7 + 14. Calculate the remainder when z is divided by 12.
9
Let v(a) = a**3 - 11*a**2 + 11*a - 3. What is the remainder when 33 is divided by v(10)?
5
Let i be -6 + 0/(2 - 4). Let d = i + 9. Let h = 23 - d. What is the remainder when 59 is divided by h?
19
Let a = -4 - -8. Suppose -47 - 1 = -8*s. Let j(m) = m**2 - 5*m + 4. Calculate the remainder when j(s) is divided by a.
2
Let z = 11 + 17. Calculate the remainder when 108 is divided by z.
24
Suppose -4*m = -2*m - 22. Let s = -46 - -67. Calculate the remainder when s is divided by m.
10
Let l(r) = 5*r + 4*r**2 + 4*r**2 - 9*r**2. Let o be l(4). Suppose -o*h + 17 = 1. What is the remainder when 5 is divided by h?
1
Let a be 7 + 1/1 + -4. Suppose a*f - f - 293 = -4*q, q + 3*f = 62. Let h(n) = n**3 - 3*n**2 - 5*n - 5. What is the remainder when q is divided by h(5)?
17
Let r = 19 + -8. Calculate the remainder when r is divided by 4.
3
Suppose 3*x - x = 2*s - 12, -8 = -4*s - 4*x. Let f be ((-1)/(-3))/(s/24). What is the remainder when (-1 - f) + 14 + -4 is divided by 2?
1
Suppose 5*l - l - 12 = 0. Suppose -x - 3*x - q + 77 = 0, -l*q - 109 = -5*x. What is the remainder when 77 is divided by x?
17
Suppose -4*v - v - 310 = -5*y, -3*v = 2*y - 99. What is the remainder when y is divided by 12?
9
Let b(t) = t**3 - 6*t**2 - 3*t + 3. What is the remainder when b(7) is divided by 17?
14
Suppose 2*o - 8 = -2. Suppose 4*m - 5 = -p + 6, 0 = -o*p - 3. Calculate the remainder when m is divided by 1.
0
Suppose -2*q + 2*h + 90 = 0, -2*h - 10 = -4*h. What is the remainder when q is divided by 11?
6
Let d(u) be the second derivative of -u**5/20 + 5*u**4/6 + 13*u**3/6 - 15*u**2/2 + 3*u. What i