 p*b = -2*b + 52. Calculate the remainder when x is divided by 5.
3
Suppose -5*q + 4*o - 10 = o, -5*q - 3*o = 10. What is the remainder when 10 is divided by q/3 - (-42)/9?
2
Suppose -3*t = -5*t + 16. What is the remainder when 12 is divided by t?
4
Suppose -6*n + 200 = -136. Let y = 12 - 32. What is the remainder when n is divided by 1/1*(-1 - y)?
18
Let i(k) = -k**3 - 2*k**2 + 2*k - 4. Let l be i(-3). Let p = 9 - 2. What is the remainder when l/(1/(-20)) + -1 is divided by p?
5
Let t = -47 - -67. Let s = t + -10. Calculate the remainder when 19 is divided by s.
9
Let t = -26 - -88. What is the remainder when t is divided by 21?
20
Let b(z) = z - 5*z + 2*z + 1. Let y be ((-3)/(-2))/((-4)/8). What is the remainder when b(y) is divided by 4?
3
Suppose 14*h - 69 = 11*h. Let v be (-5 - 0)*2/(-5). Calculate the remainder when (h/5)/(v/10) is divided by 13.
10
Let i(w) = -5*w - 89. Suppose -2*n + 5 = -1. Suppose 5*c - 97 = -4*h, 4*c + 8*h = n*h + 74. Calculate the remainder when i(-26) is divided by c.
20
Let b = -16 + 25. Calculate the remainder when 24 is divided by b.
6
Let s(t) = -22*t - 4. Let k(p) = -1. Let j(f) = 3*k(f) - s(f). Let g be j(1). Let u = g + -15. What is the remainder when 14 is divided by u?
6
Let o = -6 + 13. Calculate the remainder when 34 is divided by o.
6
Let z(g) = -2*g**2 - 16*g + 9. Suppose -1 = -q - 5*a + 30, 3*q = 3*a + 39. Calculate the remainder when q is divided by z(-8).
7
Let v = 42 - 20. Suppose -4*b - 2*f + 20 = 0, -29 = -3*b - 3*f + 5*f. Let t = v - b. Calculate the remainder when t is divided by 8.
7
Let y(o) be the third derivative of o**5/60 - 3*o**4/8 + 7*o**3/6 - 2*o**2. Calculate the remainder when 12 is divided by y(9).
5
Let j = -33 - -60. What is the remainder when j is divided by 15?
12
Suppose 11 - 63 = -2*g. Let b = g + -14. Suppose 5*c - 125 - 50 = 0. What is the remainder when c is divided by b?
11
Let y = -12 - -44. Calculate the remainder when y is divided by 9.
5
What is the remainder when 1 + (-1 - -1*27) is divided by 12?
3
Suppose 0 = -6*b + 1122 + 54. Suppose -5*u = -3*w + b, -w + u - 3*u + 58 = 0. What is the remainder when w is divided by 16?
14
Let o = -6 - -4. Suppose -2*b + 59 = -0*b - 3*i, 0 = -5*b + 2*i + 142. What is the remainder when b is divided by (-2)/o + 13 + 1?
13
Let w(c) = c**3 + c**2 - 3*c + 6. Let i = -34 + 59. Calculate the remainder when w(4) is divided by i.
24
Suppose -5*h = -2*h - 3*k + 12, 25 = 5*k. Calculate the remainder when 6 is divided by h.
0
Let g(n) = n**2 + 3*n + 9. Calculate the remainder when g(-6) is divided by (2 + 12/(-8))/(2/28).
6
Let l = -45 + 70. Suppose 4*z = 7*z + 3*b - 45, 2*z - 31 = -3*b. Calculate the remainder when l is divided by z.
11
Let c(b) = -b**3 + 13*b**2 - 11*b + 3. Calculate the remainder when 27 is divided by c(12).
12
Suppose -3*m - 26 = -5*m. What is the remainder when 34 is divided by m?
8
Let i be (6/4)/(4/16). Suppose 4*j - i = 3*j. What is the remainder when j is divided by 3?
0
Suppose -3*d + 1 = -4*d. Let t(j) = -13*j - 2. Suppose -2*a - 19 = -3*a. What is the remainder when a is divided by t(d)?
8
Let c = -8 - -15. Let r(s) = s**3 - 6*s**2 - 5*s + 5. Calculate the remainder when 55 is divided by r(c).
17
Suppose 345 = 6*w - 249. Calculate the remainder when w is divided by 25.
24
Let k(w) = -7*w - 1. What is the remainder when k(-5) is divided by 18?
16
Suppose 2*z = 8*z - 42. Calculate the remainder when 22 is divided by z.
1
Let p(v) = 3*v - 1. Let u be p(1). Suppose u*x + 2 = 12. Calculate the remainder when x is divided by (1/2)/((-3)/(-24)).
1
Let s(b) = b - 2. Let r be s(3). Calculate the remainder when 37 is divided by 8 - -8 - (-2 - r).
18
Let r be (-3)/(-3) + 9 + -2. Suppose 0 = -2*p - q + 4, 0 = -p - p + q + r. Let a = p - 0. Calculate the remainder when 5 is divided by a.
2
Let v = 70 - 43. Calculate the remainder when 105 is divided by v.
24
Let g = -4 + 8. Let i(h) be the first derivative of -h**4/4 - 4*h**3/3 - 3*h**2/2 - h + 4. What is the remainder when i(-4) is divided by g?
3
Let u be (-5)/(-10)*(-20)/(-2). Suppose -4*c = u + 3. Calculate the remainder when 7 is divided by (-2)/2*c - -1.
1
Let d(l) = l**3 + l**2 - 4*l + 3. Suppose -54 = -2*y - 0. What is the remainder when y is divided by d(2)?
6
Suppose 0 = 2*a + 2*a - 152. What is the remainder when a is divided by 13?
12
Calculate the remainder when 9/15 - (-1002)/(-30)*-1 is divided by 12.
10
Let p be (-2 + 0)/(12/(-66)). Let z(b) = -b**2 + 11*b + 5. Let t be z(p). Calculate the remainder when 6 is divided by t + (-1 - (0 + 0)).
2
Suppose -s - 130 = -3*s. Let z = 143 - s. What is the remainder when z is divided by 20?
18
Suppose -i = -4*i - 2*r + 38, 3*i - r - 35 = 0. What is the remainder when i is divided by 7?
5
Suppose -6 = -c + 40. Suppose 95 = 51*z - c*z. Let b(v) = -4*v**3 - v + 2. Calculate the remainder when b(-2) is divided by z.
17
Let t = -59 + 72. What is the remainder when 75 is divided by t?
10
Suppose 15 = -5*f + 3*o, 5*o + 7 - 1 = -2*f. Let q be (2/4)/(f/(-66)). Calculate the remainder when (q + -5)*(4 - 0) is divided by 9.
6
Suppose -4*r - 5*o + 43 = 0, -3 = 5*o + 2. Calculate the remainder when ((-30)/r)/((-2)/36) is divided by 12.
9
Suppose 0 = -2*i - 4*l + 78, -3*l = 3*i - 0*i - 129. Calculate the remainder when i is divided by 12.
11
Suppose 0 = y + 2*y - 3. Suppose 3*u = -2*b - u - 32, -5*b - 48 = 2*u. Let w = b + 10. Calculate the remainder when w is divided by y.
0
Let j = 0 - -2. Let x be (-3 - -4)/(j/10). Suppose 100 = x*c - 3*c. What is the remainder when c is divided by 17?
16
Let u = -33 + 58. What is the remainder when u is divided by 7?
4
Let d(t) = -3*t - 2*t + 7*t + 1. Calculate the remainder when d(4) is divided by 5.
4
Suppose -2*m = -g - 58, 5*g = -3*m + g + 87. What is the remainder when 86 is divided by m?
28
Let p = 5 - -25. Let g = p - 17. Calculate the remainder when g is divided by 7.
6
Suppose 28*d - 33*d = -5. What is the remainder when (2/(-3))/((-6)/27) is divided by d?
0
Let g(m) = m**3 + 8*m**2 + 5*m + 14. What is the remainder when g(-6) is divided by 29?
27
Suppose -3*t = 2*t - 40. Let q = t - -2. Suppose 2*v - 5 = 3. What is the remainder when q is divided by v?
2
Let s be (-239)/(-4) + 3/12. Let o = -17 + s. Calculate the remainder when o is divided by 22.
21
Suppose 118 = 3*o - 17. What is the remainder when o is divided by (-1 - (-3 - 0))*8?
13
Suppose g = -3, -5*p + 11 = -4*g - 1. Suppose p = -3*o + o + 4. Suppose 0 = -5*z - 3*d + 29 + 6, -d = 4*z - 21. Calculate the remainder when z is divided by o.
0
Let o = 71 + -57. Suppose -44 = -4*n + 176. What is the remainder when n is divided by o?
13
Suppose -5*k + 53 = 3*n, 3*k + n - 59 = 6*n. What is the remainder when k is divided by 5?
3
Let m = 32 + -13. Suppose 15 = 12*d - 7*d. Let g = m - d. Calculate the remainder when 62 is divided by g.
14
Let z(s) = -s**3 - 5*s**2 + 2*s + 1. Calculate the remainder when z(-6) is divided by 9/15 - (-64)/10.
4
Let u = -829 + 861. Calculate the remainder when 1/(2/252*2) is divided by u.
31
Let r = 59 + -31. Let p = -3 - -5. What is the remainder when r is divided by (p + 1)*(-10)/(-3)?
8
Suppose t + 0 = 1, -3*t + 15 = 4*h. Suppose 0 = d + q - 1, 2*d + h*d - 15 = 5*q. Suppose d*f - 100 = -2*f. What is the remainder when f is divided by 9?
7
Suppose 2*k + 2 = k. What is the remainder when ((-2)/(-10))/(k/(-290)) is divided by 6?
5
Let q = 55 + -32. Let g(m) = 2*m**3 + 2*m**2 + 8*m - 7. Calculate the remainder when g(3) is divided by q.
20
Suppose 18*x - 6*x - 360 = 0. What is the remainder when x is divided by 8?
6
Suppose 8*j - 3*j + 3*a - 35 = 0, 0 = -4*a + 20. Suppose -c = j*q + 3 - 23, c + 4 = 2*q. Calculate the remainder when c is divided by 3.
1
Let f(p) = p**3 + p + 2. Calculate the remainder when 6 is divided by f(0).
0
Suppose 28 = 5*k + 3. Suppose 4*d - 126 = k*d. Calculate the remainder when 31 is divided by d/(-8) - 1/(-4).
15
Suppose 3*p + 181 = 3*q - 2*p, -126 = -2*q - 2*p. Calculate the remainder when q is divided by 16.
14
Suppose 3*k = 6*k - 36. Let l = -10 + k. Suppose -2*p + 22 = 4*w, 5*p + 16 - 47 = -4*w. Calculate the remainder when w is divided by l.
0
Suppose 3*q + 0*p - 107 = 2*p, 185 = 5*q - 2*p. Calculate the remainder when q is divided by 11.
6
Suppose -2*w + w + 4*c + 14 = 0, 3*c