uppose 5*b - 8 = -4*s - 3, -8 = -s + b. Suppose -s*q + 3 + 16 = 4*x, -5*q = -4*x - 51. Calculate the remainder when 19 is divided by q.
5
Let a(l) = -l**2 - 5*l + 2. Let y be a(-5). Suppose -13 = s - y*s. Calculate the remainder when 37 is divided by s.
11
Let t(p) = -p**2 + 9*p - 11. Let i = 19 - 14. What is the remainder when 42 is divided by t(i)?
6
Let o = 11 + 7. Let v = o + -13. Calculate the remainder when 14 is divided by v.
4
Let y(d) = -d**2 - 7*d + 9. What is the remainder when y(-4) is divided by 11?
10
Suppose -4*a - 5*b + 125 = a, -3*a + 2*b = -50. Suppose 3*z + p - 161 = 3*p, -5*z = -3*p - 270. What is the remainder when z is divided by a?
17
Suppose -3*h + 3*q - 3 = -0*h, -11 = -5*h - 3*q. Let v be 2 + (1*-10 - 0). Let u(p) = p**3 + 9*p**2 + 8*p + 2. What is the remainder when u(v) is divided by h?
0
Let i(u) = u**2 - u. Let a(m) = 2*m**2 - 10*m - 13. Let l(w) = -a(w) + i(w). Let y(p) = 13*p - 2. Calculate the remainder when y(3) is divided by l(9).
11
Let k = 29 - -1. Suppose 2*z - 40 = -3*q, -12 = -0*q - 2*q - 5*z. Calculate the remainder when k is divided by q.
14
Suppose -2*q + 0*p - 3*p = -85, -3*p = 4*q - 167. Calculate the remainder when 122 is divided by q.
40
Let o(m) = 4*m - 7. Suppose 16 = 6*q - 2*q. Suppose -5*u = -d + 13, 89 = -d + q*d - 5*u. Calculate the remainder when d is divided by o(5).
12
Suppose 4*t - 10 = -2*o, -6*t + t = 20. Let q(s) = s**3 - 4*s**2 + s - 1. Calculate the remainder when o is divided by q(4).
1
Suppose -q + 2*y + 18 = 0, q - 4*q + 54 = 5*y. Let g = 0 - -5. What is the remainder when q is divided by g?
3
Let r(q) be the third derivative of -q**6/120 + q**5/15 + 5*q**4/24 - q**3 - 5*q**2. Calculate the remainder when 26 is divided by r(4).
12
Let k = 86 + -58. Calculate the remainder when 53 is divided by k.
25
Suppose -5*v - q = -0*v + 45, 27 = -3*v + q. Let o = -5 - v. Calculate the remainder when 30 is divided by o/2 + 12 + 2.
14
Let w(c) = -c**2 - 7*c - 4. Let k be ((-10)/(-6))/(2/(-6)). Let x = 25 + -14. What is the remainder when x is divided by w(k)?
5
Suppose 3*g - g + w = 7, g + w = 3. Suppose g*v + 5*y + 4 = v, 8 = v - 3*y. Calculate the remainder when 3 is divided by v.
1
Let u(y) = y**2 - 11*y - 2. Let l be u(9). Let i = l - -35. Calculate the remainder when i is divided by 8.
7
Let q = 92 + -80. What is the remainder when q is divided by 6?
0
Let a(x) = -x**3 - 6*x**2 - 7*x + 1. What is the remainder when 31 is divided by a(-5)?
9
Suppose 120 = 5*o - o + 4*l, -90 = -3*o + 3*l. What is the remainder when o is divided by 21?
9
Suppose 4*m + 2*y = 196, m - 4*y = y + 60. Let n = -25 + m. Let w = 36 + -23. Calculate the remainder when n is divided by w.
12
Suppose l = 3*n - 33, 3*n = l + l + 33. Let k = n - 7. Calculate the remainder when (12 - 5) + (4 - 1) is divided by k.
2
Suppose -6*z = -2*z - 52. What is the remainder when 47 is divided by z?
8
Let t = 6 + -6. Suppose 2*b + 0*b - 104 = t. Let w = -6 + 24. Calculate the remainder when b is divided by w.
16
What is the remainder when -3 - (-436)/(5 + -1) is divided by 27?
25
Let k = 44 + -29. Let q = -4 + -10. Let z = -6 - q. Calculate the remainder when k is divided by z.
7
Let s be (-160)/24 + 2/3. Calculate the remainder when 7 is divided by 1/((2 - 4)/s).
1
Let w(r) = 2*r - 4. Let m be (-3)/(-15) - 1/5. Suppose -2*b - 3*b + 85 = m. Calculate the remainder when b is divided by w(5).
5
Let p = 28 + -20. Calculate the remainder when 21 is divided by p.
5
Let c(g) = g**2 - g + 5. Let h be c(0). Suppose -3*w = 2*w - 10. What is the remainder when 33 is divided by w*1 + 75/h?
16
Suppose 10*k - 8*k = 18. Calculate the remainder when 14 is divided by k.
5
Suppose 5*t = 6*t - 22. Calculate the remainder when t is divided by (-4 - -3)/((-2)/12).
4
Let y(i) = -i**3 + 5*i**2 + 6*i - 8. Let p be y(6). Let v(t) = t**2 + 3*t + 3. What is the remainder when v(p) is divided by 22?
21
Suppose -5*f + y = -26, -4*f = -0*y + 2*y - 32. Let j = 3 + 9. Let w = j + -1. What is the remainder when w is divided by f?
5
What is the remainder when (-4)/10 + 1064/10 is divided by (5/(-10))/(1/(-54))?
25
Let r = 3 - 0. Suppose 0 = r*l - 17 + 2. Suppose 2*g - 2*v - 8 = -l*v, -16 = -4*g - 5*v. Calculate the remainder when 6 is divided by g.
2
Let l = -58 + 122. Suppose -7*j + 72 = 4*t - 3*j, 0 = 3*t + 5*j - 46. What is the remainder when l is divided by t?
20
Suppose -3*t + 7*t - 5*n - 352 = 0, 2*t - 176 = 3*n. Suppose 2*l - h + 3 = 59, -3*l + 70 = -5*h. Calculate the remainder when t is divided by l.
28
Let g = 35 + -27. Calculate the remainder when 47 is divided by g.
7
Let z(o) = 15*o**3 - o**2 + 1. Let r be z(1). Suppose 2*i = 5*y - 130, i = 2*y - 0*y - 51. Calculate the remainder when y is divided by (r/(-2))/(3/(-4)).
8
Let g = -9 - -19. Let v(f) = -f**3 + 7*f**2 - 5*f - 2. Let s be v(6). Suppose -s*r - 2 = -78. What is the remainder when r is divided by g?
9
Let i(f) = 2*f**2 - 5*f + 1. Let m(k) = k - 3. Let l be m(8). Calculate the remainder when i(l) is divided by 9.
8
Let f(z) = 2*z**2 + z - 21. Let x be f(0). What is the remainder when ((-70)/x)/(4/54) is divided by 24?
21
Let t(w) = -w**3 + 4*w**2 + 4*w - 1. Suppose -3*v + 4 = -2*v. What is the remainder when (-1 + -26)/(3 - v) is divided by t(4)?
12
Let d(o) = -o**3 + 4*o**2 - 2. Calculate the remainder when ((-20)/(-6))/(4/12) is divided by d(2).
4
Suppose -3*f + 4*w + 110 = 0, -3*w = 5*f - 174 - 48. What is the remainder when f is divided by 11?
9
Let a = -5 - -9. Suppose 3*q + 6 = -z - 3, -a*z + 9 = -3*q. Suppose -g - u + 46 = z, 3*u - 212 = -5*g + 4*u. Calculate the remainder when g is divided by 11.
10
Calculate the remainder when -2 + 26 + (-2 - 1) is divided by 4.
1
What is the remainder when 62 is divided by 11*3*((-15)/(-3))/5?
29
Let z(h) = h**3 - 9*h**2 + 13*h - 30. What is the remainder when z(8) is divided by 3?
1
Calculate the remainder when 1*8/4*7 is divided by 8.
6
Let p be -6*(0 - 6/(-4)). Let w be (-4)/(-1)*p/(-6). What is the remainder when 4 is divided by 6/(5 + w/(-2))?
1
Suppose s + 3*x = -128, x + 365 = 5*s + 1005. Let r = s + 205. Calculate the remainder when r is divided by 26.
25
Let a = -33 - -38. What is the remainder when 52 is divided by a?
2
Suppose f + 5 = 2*c, 5*f - f = c + 8. Suppose 5*v = 3*h - 54, -h + f*v + 10 = 4*v. Calculate the remainder when h is divided by 8.
5
Let r = 9 - -8. Suppose 0 = -2*f + 1 + 11. What is the remainder when r is divided by f?
5
Let n = 17 + -15. Suppose n*o - 46 = -5*l, 2*o - 4*l + 0*l - 28 = 0. Calculate the remainder when 70 is divided by o.
16
Let j(t) = t**2 - 5*t + 1. Let b be j(7). Let c be 80/b - 2/6. Suppose -2*v = -c*v + 18. What is the remainder when v is divided by 3?
0
Let i = -23 + 41. Suppose 3*r = -6, 3*g - r - 3*r = 221. Suppose h - g = -3*t + t, -t - 2*h = -37. What is the remainder when t is divided by i?
17
Let z(i) = 3*i + 7. Calculate the remainder when z(3) is divided by 11/2 - (-1)/2.
4
Suppose q - 8 = -3. Suppose 3*i = q*i - 2. What is the remainder when 32 is divided by 162/15 - i/(-5)?
10
Let a = -76 + 116. Suppose -2*v = 4, 5*d - 2 = -3*v + 62. What is the remainder when a is divided by d?
12
Let g(k) = k**2 + 11*k - 14. Let t(z) = 15*z**3 + 2*z**2 - 2*z + 1. Suppose -7 = -5*j - 2. What is the remainder when g(-15) is divided by t(j)?
14
Let p(s) be the second derivative of s**3/6 + s**2 + 2*s. Calculate the remainder when 11 is divided by p(4).
5
Let l(s) = -s**3 + 5*s**2 + 6*s + 2. Let v be l(6). Let n be 1 + (2/v - -2). Suppose -24 = -c - n. Calculate the remainder when 39 is divided by c.
19
Let a be 4/14 - (-8)/(-28). Suppose 2*o = -a*o + 60. Calculate the remainder when 87 is divided by o.
27
Suppose -3*c - 10 = w, 3*c - 5 = -5*w - c. Suppose 0 = -w*l + 12 + 28. Calculate the remainder when 6/21 - (-192)/14 is divided by l.
6
Suppose 3*z = -0*z + 5*j + 5, -8 = -4*j. Calculate the remainder when 8 is divided by z.
3
Suppose -4 = -0*a - 2*a. Suppose 0 = -0*h + a*h - 18. Let b = 32 - h. Calculate the remainder when b is divided by 12.
11
Let a = 94 - 59. Let p = -10 - -22. Calculate the remainder when a is divided by p.
11
What is the remainder when 85 is divided by (72/(-27))/(1/(-3))?
5
Suppose g + 0*q = -3*q + 2, 0 = -5*g - 3*q + 46. Let d(r) = 7*r + 6. Calculate the remainder when d(5) is divid