
Let z = -19 - -22. Suppose z*i = 2*q + 6, 4 + 10 = 5*i - 2*q. Calculate the remainder when 5 is divided by i.
1
Let b = -308 - -320. Let n be 0 + 1 + 0 + -1. Suppose -s + 0*s + 47 = n. What is the remainder when s is divided by b?
11
Suppose 2*b + 55 = -3*j, 2*j - 172 = 5*b - 2*j. Let p = b + 54. What is the remainder when p is divided by 8?
6
Let v(p) = 2*p - 9. Let u be v(6). Let o(n) = 6*n + u - 4*n - n. Calculate the remainder when 19 is divided by o(7).
9
Let v(l) = -l**2 - l + 7. Suppose -2*c - 2*a + 7*a = -21, -4*c - a = 13. What is the remainder when c/3 - 186/(-9) is divided by v(0)?
6
Suppose 4 = u - 6. Calculate the remainder when u is divided by 4.
2
Let s = 0 - -6. Calculate the remainder when 10 is divided by s.
4
Let x = 58 - 41. What is the remainder when 50 is divided by x?
16
Suppose 0 = -x - 4*x - 5*k + 55, 0 = -5*k - 10. Let l(p) = -p**2 - 2*p. Let h be l(-5). Let b = 52 + h. Calculate the remainder when b is divided by x.
11
Suppose 58 = 3*q + 2*h, 2*h - 125 + 27 = -5*q. Suppose q = -2*t + 52. What is the remainder when t is divided by 9?
7
Suppose 0 = -4*b + 4*x + 60, -2*b - 2*x + 58 = 20. What is the remainder when 66 is divided by b?
15
Suppose -2*m = -0*m - 28. Calculate the remainder when m is divided by 8.
6
What is the remainder when 33 is divided by -10*(-8)/(-20)*-3?
9
Let u be (1*(-2 + -2))/2. What is the remainder when (-13)/(1 - 0)*u is divided by 7?
5
Let s = 312 - 283. Let b(r) = 58*r**3 - 1. What is the remainder when b(1) is divided by s?
28
Let s(v) = v**2 + 27*v + 15. Calculate the remainder when 33 is divided by s(-27).
3
Let p be (-12)/36 - 154/6. Let n = p - -39. Let b(v) = -v**3 - 3*v**2 - 3*v - 4. Calculate the remainder when n is divided by b(-3).
3
Let l = 45 - 23. Calculate the remainder when 10/55 + 172/l is divided by 3.
2
Let o(q) = -2*q**3 - q - 1. What is the remainder when o(-2) is divided by 5?
2
Suppose 0 = -4*x + 6*x - 12. Suppose -x = -t - 2. Suppose 0*m = -5*p + t*m + 122, 5*m - 51 = -3*p. Calculate the remainder when 42 is divided by p.
20
Calculate the remainder when 48/1*(-2)/(-4) is divided by (8/(-3) - -2)/(8/(-156)).
11
Let f = 26 - 11. Let k = -21 + 64. Calculate the remainder when k is divided by f.
13
Suppose -117 = 4*d - 177. Suppose 236 = -x + 5*x. Calculate the remainder when x is divided by d.
14
Suppose -4*v = 4 + 12. What is the remainder when ((-35)/10 - -3)*-46 is divided by (-1)/4 + (-49)/v?
11
Let t = -88 - -222. Calculate the remainder when t is divided by 27.
26
Suppose 2*o + 5*m = 25, -5*o - 10 + 5 = -m. Suppose o = -j - 5*r - 11, -101 = -4*j + 3*r - 30. Calculate the remainder when j is divided by 8/10*(11 - 1).
6
Let f = -53 - -104. Let i = -33 + f. Calculate the remainder when 34 is divided by i.
16
Suppose 3*b - 27 - 6 = 0. Let l(c) be the second derivative of c**3/6 + 9*c**2/2 - 4*c. Calculate the remainder when l(10) is divided by b.
8
Let p(z) = 3*z**2 + 9*z - 2. Let t be p(-7). Let n = -47 + t. Suppose w = -5*l + 22, 3*l = -4*w + n - 15. Calculate the remainder when l is divided by 3.
1
Let x(g) be the first derivative of -g**2/2 - 3. What is the remainder when 24 is divided by x(-7)?
3
Let r(w) = 3*w + 34. Calculate the remainder when 99 is divided by r(6).
47
Suppose -38 = -2*r + r. Suppose z - 2*z = -4*p + r, -26 = -4*p - 5*z. Let h = 19 + -4. Calculate the remainder when h is divided by p.
6
Let m be 4/6 - (-38)/(-3). Let j = m - -43. Suppose 5*q + 2 = -3*w + j, q + 31 = 4*w. Calculate the remainder when 14 is divided by w.
6
Suppose g = -19 + 20. Let s(o) = 5*o**2 + 1 - 10*o**2 + 32*o**2 - 2*o. What is the remainder when s(g) is divided by 9?
8
Suppose 228 = -16*g + 20*g. What is the remainder when g is divided by 20?
17
Suppose s - 6 = -4. Let m = 3 + -2. What is the remainder when s is divided by m?
0
Let i(r) = -2*r - 3. Let h be i(-8). Let q = h - 5. What is the remainder when q is divided by 1/4 - 22/(-8)?
2
Suppose y + 10 = 45. Calculate the remainder when y is divided by 9.
8
Suppose -1 = -2*i + 179. Calculate the remainder when i is divided by 31.
28
Let f(q) = q + 1. Let a be f(-5). Let z(s) = s**2 + 3*s. What is the remainder when (-46)/(-8) - (-3)/12 is divided by z(a)?
2
Let o(r) = 3*r. Suppose 2*z + 52 = 7*z + 3*c, 4*c = 3*z - 37. Let i(p) = p**2 - 9*p - 12. What is the remainder when i(z) is divided by o(2)?
4
Let y be ((-6)/2 + 2)*-3. Suppose g - 9 = -y*n, 0 = 2*g - 3*n - 2*n - 29. What is the remainder when 22 is divided by g?
10
Let h be 276/8*8/6. Suppose -3*j + 2*u = 6*u - h, 4*u = 16. Suppose -j = -v + 34. What is the remainder when v is divided by 15?
14
Suppose -3*f = y - 38, -y + 174 = 2*y - 3*f. Calculate the remainder when y is divided by 15.
8
Let i(m) = -m**3 + 7*m**2 - 4*m + 6. Suppose 0 = -4*a - 20, -2*p + 4*a + 41 - 9 = 0. Calculate the remainder when 35 is divided by i(p).
17
Let s(a) = 2*a**2 - 10*a + 2. What is the remainder when s(8) is divided by 2/(-4)*-1*34?
16
Suppose 2*q = -2*l + 40, 0 = 2*l + 2*l - 5*q - 89. Suppose -6*r - 4*c - 285 = -11*r, 0 = -r - 3*c + 76. Calculate the remainder when r is divided by l.
19
Suppose 5*s - d = -2*d + 27, -4*d + 8 = 0. Suppose -21 = -s*u + 44. Calculate the remainder when 24 is divided by u.
11
Suppose 0 = -5*m - 0*m + 70. Suppose -5*x + 216 = -x. Calculate the remainder when x is divided by m.
12
Suppose q - 14 = -3*y, -q - 2*y + 13 = 2. Calculate the remainder when 11 is divided by q.
1
Let t(c) = 75*c**3 + c**2. Let j be t(1). Let f = j - 40. Calculate the remainder when f is divided by 19.
17
Suppose -5*m + 4*b + 242 = b, -234 = -5*m + b. Let u = 23 + -12. Suppose -3*a + 4*a = -o + u, -4*a - 20 = 0. What is the remainder when m is divided by o?
14
Let n be 0 - 2 - 4/(-1). Let m = n - -5. Suppose 27 = a + m. Calculate the remainder when a is divided by 7.
6
Let h = -38 - -43. Calculate the remainder when 19 is divided by h.
4
Let o = 11 + 3. Suppose -16*j = -17*j, -3*j = -4*l + 104. Calculate the remainder when l is divided by o.
12
Let l = -20 - -20. Suppose l = 28*f - 29*f + 15. Calculate the remainder when 57 is divided by f.
12
Suppose 2*k - 5*v = 124, 3*k - 320 + 117 = -v. Suppose 3*c = 5*c - 34. Calculate the remainder when k is divided by c.
16
Suppose 5*y - 5*q = -10, -4*q + 15 = -0*y - 5*y. Let k = y + 13. Suppose 20 = 2*c - 0. Calculate the remainder when c is divided by k.
4
Suppose -4*s + 5*j = -36, 9 = s - 0*s - j. Suppose 3*z = 5*v + 4*z - 23, 3*v - 17 = z. Calculate the remainder when s is divided by v.
4
Let l = 59 - 42. What is the remainder when l is divided by 9?
8
Suppose -r - r = 3*q - 12, 4*r - 18 = -3*q. Suppose -2*a + 104 = q*a. Calculate the remainder when a is divided by (-1)/3 - 28/(-3).
8
What is the remainder when (-58 - -1)*(-4)/12 is divided by (-3)/(-12) + (-54)/(-8)?
5
Let h = 163 + -115. What is the remainder when 190 is divided by h?
46
Let h = -18 - -13. Let q = 9 + h. Suppose 3*t - 3*v = 27, -4*t + 5*t = q*v - 3. What is the remainder when t is divided by 5?
3
Suppose -o + 48 = 3*z, 4*z - o = -19 + 90. Calculate the remainder when 82 is divided by z.
14
Let h(z) = -z + 17. Calculate the remainder when 65 is divided by h(0).
14
Let s(f) = -2*f**2 - f + 14. Let k be s(-10). Let z be 4/18 + k/(-18). What is the remainder when (-8)/(-28) - z/(-14) is divided by 1?
0
Let a = 29 + 9. What is the remainder when a is divided by 14?
10
Suppose y = -y + 26. Let f = -86 - -88. Suppose 3*i = -f*i - 4*s + y, i + 3*s = -4. What is the remainder when 9 is divided by i?
4
Suppose 0 = r - 0*v - 4*v - 21, 15 = -3*v. Calculate the remainder when 15 is divided by r*8*7/7.
7
Let r be 5 + -1*(-4 + 1). Calculate the remainder when 41 is divided by (-63)/(-6)*r/6.
13
Let u = -27 + 79. What is the remainder when u is divided by 15?
7
Let y(t) = -2*t + 6. Let l be y(4). What is the remainder when 39 is divided by (15/l)/((-3)/8)?
19
Suppose -2*w + 10 + 4 = 0. Calculate the remainder when 33 is divided by w.
5
Let p = -15 - -9. Let m(s) = 2*s + 0*s + 4*s + 8 + s**2. Calculate the remainder when 15 is divided by m(p).
7
Suppose 2*l - 23 = 1. Calculate the remainder when 22 is divided by l.
10
Let x(i) = 5*i**2 - 2*i - 1. Let d(l) be the first derivative of 5*l**2/2 - 2*l + 1. What is the remainder when x(3) is divided by d(3)?
12
Let g = 14 - 12. Suppose 2*w = -