 -2*z - 2 = -6. Suppose 3*t - 3 = z*t. Suppose b - 23 = -2*j, -4*b = t*j - 8*b - 40. Calculate the remainder when 23 is divided by j.
11
Suppose 7*b - 6*b = 25. What is the remainder when 45 is divided by b?
20
Let d(p) = p**2 - 6*p + 7. Let c be d(5). Suppose 2*h + 30 = v, 5 = c*v - 2*h - 53. What is the remainder when v is divided by 10?
8
Let o = 0 - -2. Suppose -2*y + 0*y + 26 = -3*h, -o*h - 54 = -5*y. What is the remainder when y is divided by -10*(8/(-20) + 0)?
2
Suppose -g + 3*g = 4*b + 20, -5*g = -3*b - 43. What is the remainder when 14 is divided by g?
6
Let w(c) = c**2 - 4*c - 7. What is the remainder when w(-3) is divided by 9?
5
Suppose 2*i - 2 = 2. Suppose 0*o + 2*o - y = 46, 17 = o - i*y. What is the remainder when o is divided by 13?
12
Let g = -118 - -130. What is the remainder when 80 is divided by g?
8
Suppose -3*c - 224 = -4*b, 279 = 5*b - 5*c + c. Let o(s) = -s**2 + 3*s - 7. Let q be o(-5). Let u = 67 + q. What is the remainder when b is divided by u?
19
Suppose 0 = -0*q + 4*q - 16. Calculate the remainder when 9 is divided by q.
1
Let t(o) = -2*o + 2 + 5 + o. Calculate the remainder when 3 is divided by t(6).
0
Let x(u) be the first derivative of u**4/4 + 2*u**3 + 3*u**2 + 2*u - 1. Let d = 64 + -58. What is the remainder when x(-4) is divided by d?
4
Suppose 0 = -2*s + g + 9, -s + 27 = -0*s + 4*g. Suppose 5*u + 31 = 2*d, -10 = -d + 3*u + s. What is the remainder when d is divided by 3?
2
Let p = -41 - -97. What is the remainder when p is divided by 12?
8
Let v = -7 - -8. Let u(w) = 29*w**2 + 1. Let l be u(v). Calculate the remainder when 23 is divided by (-12)/l - (-42)/5.
7
Suppose 88 = 3*n + 4*u, n + u - 3*u - 36 = 0. What is the remainder when n is divided by 11?
10
Suppose -i - 24 = -64. Suppose -f + 14 = i. Let p = f + 46. What is the remainder when p is divided by 7?
6
Suppose l - 2*z - 2*z - 20 = 0, 0 = 5*l + 5*z. Suppose -2 = l*g - 18. Calculate the remainder when 10 is divided by g.
2
Let z(w) = -6*w + 11. What is the remainder when z(-7) is divided by 28?
25
Let d = 20 - 13. Suppose -29 = -4*h + d. What is the remainder when 35 is divided by h?
8
Let u(a) be the first derivative of 2*a**3/3 - 9*a**2/2 + 8*a + 3. Calculate the remainder when u(7) is divided by 15.
13
What is the remainder when (4/(-14) - 132/77)*-11 is divided by 8?
6
Let i(v) be the second derivative of -2*v + 1/3*v**4 - v**2 - 7/6*v**3 + 1/20*v**5 + 0. What is the remainder when 14 is divided by i(-5)?
6
Let g = 34 + -12. Let c be 2/(-1) - (-16)/2. Let f(y) = 3*y - 6. Calculate the remainder when g is divided by f(c).
10
Suppose h - 3*z = 14, 4*h + z = -z. Suppose 4*f - h*k = 182, -97 = -3*f + f - k. What is the remainder when f is divided by 12?
11
Let d(u) be the second derivative of u**5/30 - u**4/4 + u**3/2 - u. Let o(l) be the second derivative of d(l). What is the remainder when 26 is divided by o(5)?
12
Suppose 5*q - 2 = 4*x + 7, x + 6 = 5*q. What is the remainder when 3 is divided by q?
0
Suppose r = -1, -17 = -3*k + 5*r + 84. Calculate the remainder when k is divided by 17.
15
Suppose -4*k + 7*k - 12 = 0. Suppose 9*z = k*z + 150. Suppose -z = -5*w + 20. Calculate the remainder when 18 is divided by w.
8
Suppose 3*w = -5*x + 290, 9*w - 4*x - 434 = 4*w. What is the remainder when w is divided by 23?
21
Suppose -2*a - 6 = -10. Suppose -2*v - a*v = -24. Calculate the remainder when 17 is divided by v.
5
Let k(m) = -3*m**3 - 21*m**2 + 26*m - 15. Let z(f) = 2*f**3 + 10*f**2 - 13*f + 7. Let x(c) = 3*k(c) + 5*z(c). What is the remainder when 3 is divided by x(12)?
1
Let i(x) = -x**3 + 3*x**2 + 3. Let n be i(3). Let h(d) = -d**3 + 4*d**2 - 4*d - 1. Let k be h(n). What is the remainder when 11 is divided by 4/(k/(-7)) - 1?
5
Suppose -v = -0*v - 2. Suppose -v*j = 2*j - 44. Let l = 19 - 13. Calculate the remainder when j is divided by l.
5
Let k(h) = 21*h**3 - h**2 + h - 1. What is the remainder when 36 is divided by k(1)?
16
Suppose 27 = -5*h + 182. What is the remainder when h is divided by 8?
7
Suppose 0 = -0*j - 5*j - 10, 2*j = -3*p + 47. Let u = 8 + -5. Suppose -4*k = u*c - 206, -5*k - 2*c = -373 + 119. What is the remainder when k is divided by p?
16
Let j(q) = 2*q**2 + 3*q - 6. Let w = -2 + -3. What is the remainder when j(w) is divided by ((-4)/(-3))/((-6)/(-45))?
9
Suppose -15 = -3*j - 2*j. Let l = -1 - -6. Suppose -5*p + l = -4*p. Calculate the remainder when p is divided by j.
2
Suppose v - 24 = 4*v. Let u = v + 4. Calculate the remainder when 20 is divided by ((-14)/u)/((-1)/(-2)).
6
Let x(o) = o**3 - 2*o**2 + 4*o - 1. Let w be x(3). Suppose -4*p = w - 256. What is the remainder when p is divided by 15?
14
Let d = -2 - -22. Suppose -5*p = -45 - d. What is the remainder when 23 is divided by p?
10
Suppose 0*j + 3*j = 42. What is the remainder when 83 is divided by j?
13
Let q(g) = g**3 + 4*g**2 - 5*g + 4. Let s be q(-5). Suppose 108 = 4*l - s*o, 3*l - 3*o = l + 56. Calculate the remainder when l is divided by 9.
7
Let f(l) = l + 24. Let r be 0 - -14 - (3 + -5). Suppose -3*z + 0*z - 4*g + r = 0, 0 = -2*z + g + 18. What is the remainder when f(-11) is divided by z?
5
Let g(s) = -7*s + 1. What is the remainder when g(-2) is divided by ((-3)/(-2))/(66/352)?
7
Let s be (84/(-8))/((-3)/4). Let d be s/4 + 3/(-6). Suppose -d*t - 4*l + 111 = 0, 2*t + 3*l - 11 - 63 = 0. Calculate the remainder when t is divided by 13.
11
Suppose -5*k = 5, -7*p + 3*p + 42 = 2*k. What is the remainder when 42 is divided by p?
9
Let b(w) = -10*w**3 + 2*w**2 + 4*w + 3. What is the remainder when 43 is divided by b(-1)?
10
Let u(f) = -f**2 + 3*f + 3. Let x be u(-2). Suppose 2*a = 4*m - 3 + 25, a = m + 15. Calculate the remainder when 32/(-4)*x*1 is divided by a.
18
Let p = -13 - -5. Let a(w) = w + 10. Suppose -5*b + 2 = -8. What is the remainder when b is divided by a(p)?
0
Let w(q) = 1 + 2*q - 3 - 6*q + 0. Let o be w(-5). Let k = 11 + o. What is the remainder when k is divided by 15?
14
Let h be 8/((-2)/(-36)*3). Let d(y) = 22*y + h*y + 2 - 1 + 0. Calculate the remainder when d(1) is divided by 24.
23
Let t(s) = 6*s**3 + 3*s**2 - 4*s + 2. Let u be t(2). Calculate the remainder when 4*(u/8 + 1) is divided by 17.
14
Let z be (-112)/(-6) + (-4)/6. Let m be 8/z*3*3. Suppose i + 4*i + m*a = 96, 0 = 3*a - 12. What is the remainder when i is divided by 9?
7
Let c(i) = 11*i. Let w be c(5). Suppose 4*p - w = 3*z, -2*p + z = -4 - 23. Let u(j) = -j**2 + 4*j + 12. What is the remainder when p is divided by u(5)?
6
Let o = 1 - 1. Let p = o + 5. Suppose -1 = -z + p. What is the remainder when 11 is divided by z?
5
Suppose -2*g + 5*h - 26 = -5*g, -g - 3*h + 2 = 0. Calculate the remainder when (-334)/(-7) + 6/21 is divided by g.
14
Let x(w) = w - 3. Let p be x(3). Let j(y) = y + 2. Let o be j(p). Suppose o*v - 42 = -u, 5*u + 89 = 2*v + v. What is the remainder when v is divided by 6?
5
Suppose -s + 33 = 4*c, -4*c + 12 = -2*s - 6. Calculate the remainder when 25 is divided by c.
4
Suppose 3 = 5*a - 117. Let r(p) = -2*p**2 - 39*p - 19. Calculate the remainder when r(-16) is divided by a.
21
Let a = 28 + -17. Let w(s) = -s**3 - 7*s**2 + s - 15. Calculate the remainder when w(-8) is divided by a.
8
Let i be (-3 + 6)/((-1)/(-1)). Suppose i*s - 70 - 8 = 0. What is the remainder when s is divided by 7?
5
Let l = 9 - 9. Suppose -4*c = -16 - l. Suppose -2*t + 90 = -4*g - 0*g, 3*t = c*g + 127. What is the remainder when t is divided by 19?
18
Suppose 4*u - 19 = -3*w, 4*u - 2*w = -u + 41. What is the remainder when u is divided by (1 + 0 + -5)/(1/(-1))?
3
Let j be 3/(-2)*(4 - 6). Let d be j/(-2) + (-1)/(-2). Calculate the remainder when (-1 + -1 - d)*-31 is divided by 16.
15
Let r(m) = -7*m + 1. Let g be (0 - -6)/((-3)/(-8)). Let j = 19 - g. What is the remainder when r(-1) is divided by j?
2
Let x = 13 + 6. What is the remainder when x is divided by 5*(2 + 2 - 3)?
4
Let p be 2/(-2)*-1 - -2. What is the remainder when 11/p - (-1)/3 is divided by ((9/5)/(-3))/(3/(-15))?
1
Let l(a) = a**2 + 2*a - 3. Let k = -6 - -5. Let t = 8 - k. Calculate the remainder when t is divided by l(-4).
4
Let x(d) = 3*d**2 - 35*d - 4. Let m(t) = t**2 - 2*t - 2. Calculate the remainder when m(-3) is divided by x(12).
5
Let n = 26 - 23. What is the remainder when 8 is divided by n?
2
Let k = -8 - -4. Let r(j) = -j*