 the remainder when i is divided by o(5)?
6
Let b(z) = z**2 - 2*z. Let x be b(3). Suppose -9 = -4*k + 5*d, -2*d + 6 = k - 7*d. Suppose 0 = -x*g + 35 + k. What is the remainder when 22 is divided by g?
10
Suppose -z + 20 = 3*z. Let i = -3 + 5. Suppose 0 = 5*v - 2*p - 51, -3*v - i*p = -p - 24. What is the remainder when v is divided by z?
4
What is the remainder when 46 is divided by 690/42 + 6/(-14)?
14
Let b(n) be the first derivative of 11*n**4/6 - n**3/6 + 2*n + 2. Let k(o) be the first derivative of b(o). What is the remainder when k(-1) is divided by 12?
11
Let f(l) = -9*l + 4. Calculate the remainder when f(-3) is divided by (-10)/(-15)*(-18)/4 - -14.
9
Suppose 7 - 1 = 6*a. Calculate the remainder when -3 + a/((-3)/(-84)) is divided by 13.
12
Let v = 185 + -111. What is the remainder when v is divided by 15?
14
Suppose a - 8 = -a. What is the remainder when (-8)/(-6)*120/16 is divided by a?
2
Suppose -5*q + 10 = -25. Let l(p) = 4*p - 1. What is the remainder when l(q) is divided by 14?
13
Let b(s) = 2*s + 1. Let g(a) = -a**3 - a**2 - a. Let w be g(-1). Let x be (2 - -6) + (-1 - w). What is the remainder when 25 is divided by b(x)?
12
Suppose 4*a - 6 = 6. Suppose -5*d + 3*i + 102 = -0*d, -4*i + 67 = a*d. Let w(u) = u**2 - 27*u + 34. Calculate the remainder when w(28) is divided by d.
20
Let u(x) be the second derivative of -x**3/6 + 7*x**2/2 - 2*x. Calculate the remainder when u(-5) is divided by 7.
5
Let q(z) = z**3 + 12*z**2 - 14*z - 10. What is the remainder when 9 is divided by q(-13)?
0
Suppose -4*n = 3*r - 0*n - 22, -3*r - 2*n = -14. Suppose -5 - 5 = r*q. Let o(u) = -u**3 - 5*u**2 - 3*u - 4. Calculate the remainder when 21 is divided by o(q).
10
Suppose f - 1 - 1 = 0. Let n = -3 - -3. Suppose -4*b - 135 = -5*m, n = f*m + 4*b - 0*b - 82. Calculate the remainder when m is divided by 11.
9
Let p = 10 + -7. Suppose -5*q + 25 + 39 = z, p*z - 36 = -2*q. Calculate the remainder when (10 - -1)/(3/6) is divided by q.
10
Let o(y) = 19*y - 2. What is the remainder when o(3) is divided by 14?
13
Suppose -9 + 25 = 4*p. Suppose 0 = -4*a - 20, -5*a + 40 = -p*o - 31. What is the remainder when -1 - (-3)/(-3)*o is divided by 8?
7
Let v be (-30 + 0)*(-12)/(-30). Let o = 32 + v. Calculate the remainder when 59 is divided by o.
19
Suppose 0 = -6*z + 4*z + 74. Let x(n) be the third derivative of n**5/60 + n**4/8 + n**3/2 - 2*n**2. Calculate the remainder when z is divided by x(-5).
11
Let g(y) = -14*y - 1. Let q(v) = -13*v - 1. Let d(h) = 3*g(h) - 4*q(h). What is the remainder when d(3) is divided by 11?
9
Suppose 0 = 3*l + 2*l + 445. Let a = -41 - l. What is the remainder when a is divided by 17?
14
Let r = 439 + -313. What is the remainder when (-3)/(-3 - r/(-44)) is divided by 12?
10
Let u = -69 - -82. Calculate the remainder when 88 is divided by u.
10
Suppose 3*o = -3*v - 21, 2*o - o = -2*v - 11. What is the remainder when v*(-3)/(-12)*-58 is divided by 30?
28
Let s(j) = j**2 + 3*j. Let q be s(-4). Suppose -3*a + 2*t + 155 = 0, 0 = q*a + t - 49 - 165. Calculate the remainder when a is divided by 18.
17
Let t(c) = c**2 - c + 11. Let o(r) = 3*r - 29. Calculate the remainder when o(16) is divided by t(0).
8
Suppose -5*j = -5*q + 5, -3 - 2 = -q. Let o = 10 + j. Calculate the remainder when 53 is divided by o.
11
Let a be ((-3)/(-4))/(1/(-4)). Let n = a - -8. Calculate the remainder when 17 is divided by n.
2
Let d(p) = 6*p + 7. Let u(x) = -6*x - 6. Let g(w) = -3*d(w) - 4*u(w). What is the remainder when g(6) is divided by 21?
18
Suppose 6*h - 22 = 50. What is the remainder when 68 is divided by h?
8
Let a be (-9)/5 + 2/(-10). Let l = 5 + a. Suppose 2*u = l*h + 36, 3*u - 2*h - 54 = 3*h. What is the remainder when u is divided by 10?
8
Let q(x) = 6*x**3 - 2*x**2 + x. Let a(d) = d**3 - 9*d**2 + 2*d - 5. Calculate the remainder when a(9) is divided by q(1).
3
Let d = 6 - 3. Suppose d*a = -0*a + 39. What is the remainder when 38 is divided by a?
12
Suppose -q + 6*q + 36 = 4*c, 3*c + 2*q = 50. Calculate the remainder when c is divided by 11.
3
Suppose -5*k + 15 = -10. What is the remainder when 24 is divided by k?
4
Let w = -6 + 10. Suppose w*n - 41 = 143. Suppose -n - 94 = -4*u. Calculate the remainder when u is divided by 12.
11
Let a(c) = 18*c. Let i be a(2). What is the remainder when (-2 + i)/(-1)*-1 is divided by 12?
10
Suppose 5*t - 25 = -0. Suppose -t*l + 3*a = -16, 3*a = 2*a - 2. What is the remainder when 1*34 + (2 - l) is divided by 12?
10
Suppose -5*z + 21 = -3*d, -4*z + 2*d + 10 = -2*z. Suppose -3 = -2*n + z. Let h = n - -5. What is the remainder when 14 is divided by h?
6
Suppose -2*w - 4*o = -60, 0*o + 54 = 2*w + 2*o. Calculate the remainder when 44/6 + (-8)/w is divided by 2.
1
Suppose 0 = -38*a + 45*a - 273. What is the remainder when 76 is divided by a?
37
Suppose -3*v = 5*t - 76, -2*t - 2*v = 3*t - 74. Let r be (-5)/(-2) + 7/t. Suppose 8*l - r*l - 210 = 0. What is the remainder when l is divided by 22?
20
Let w be (-1 + 2)/((-3)/(-3)). Let k(i) = 8*i**2 + i - 1. Calculate the remainder when (44/6)/(2/6) is divided by k(w).
6
Let c(j) = -2*j**3 - 2*j**2 + 2*j. Let v be c(-2). Let f(z) = z + 3. What is the remainder when 1/(-2)*-38*1 is divided by f(v)?
5
Suppose -5*y = 20, -z + 2*y = -5*z + 56. Let j = 45 - z. Suppose j = d - h - 2*h, -2*d + 2*h + 38 = 0. What is the remainder when d is divided by 8?
6
Let z = -78 - -113. Calculate the remainder when z is divided by 20.
15
Suppose -5*k + 22 + 53 = 0. Calculate the remainder when 148 is divided by k.
13
Let z(a) = 2*a + 10. What is the remainder when 62 is divided by z(6)?
18
Suppose -5*n + 564 = -4*i, 225 = 4*n - i - 224. What is the remainder when n is divided by 23?
20
Suppose -5*o + 142 = 2*j + j, -3*j = o - 38. What is the remainder when o is divided by 10?
6
Suppose 90 = 2*c + 3*c. What is the remainder when ((-2)/(-1))/(1/35) is divided by c?
16
Suppose 6*c = c - 10. What is the remainder when (-1623)/(-33) + (-2)/11 is divided by 0 - (-11 - (c + 4))?
10
Suppose 3*j = 6*j - 36. What is the remainder when 22 is divided by j?
10
Let x(q) = -q**2 - 10*q - 7. Calculate the remainder when x(-5) is divided by 5.
3
Suppose s - 3*f = -s + 7, -4*f = 3*s - 53. Suppose 13 = -10*w + s*w. What is the remainder when 38 is divided by w?
12
Suppose 2*w + 2*g = -92, -2*w + 96 = -4*w - g. Suppose 2*z + 208 = 2*k, 2*z + 3*z = -k - 496. Let f = w - z. Calculate the remainder when f is divided by 17.
16
Let f(z) be the second derivative of 2*z + 11/2*z**2 + 0 - 3/2*z**3 + 1/12*z**4. What is the remainder when f(8) is divided by 2?
1
Suppose 4*g + 46 = 2*z, 4*g = -g - 25. Calculate the remainder when -1 + 49 + (2 - -1) is divided by z.
12
Suppose -3*z + 58 = -z. Suppose 0 = 2*c - 47 + 7. Let w = -10 + c. Calculate the remainder when z is divided by w.
9
Calculate the remainder when 40 is divided by 12/(-60) + (-212)/(-10).
19
Let x(d) = d**3 - 6*d**2 + 7*d + 2. Let o = 9 + -1. Let p = o - -15. Calculate the remainder when p is divided by x(5).
11
Calculate the remainder when (-3)/(1/31*(13 - 14)) is divided by 24.
21
Suppose -3*c = -8*c + 5. Let z be -1*c + -1 + 3. Suppose w + z = 8. What is the remainder when w is divided by 3?
1
Let u = 225 - 137. Suppose 0 = -2*o + 6*o - u. Calculate the remainder when 42 is divided by o.
20
Let t(q) = q**2 - 2*q - 3. Let h be t(-2). Suppose -r = -30 - h. Calculate the remainder when r is divided by (-364)/(-30) + 22/(-165).
11
Let o = 33 + -54. Let p = -11 - o. What is the remainder when 49 is divided by p?
9
Let m(r) = -6*r**2 + r + 5. Let f(w) = -5*w**2 + 2*w + 5. Let t(p) = 5*f(p) - 4*m(p). Calculate the remainder when 24 is divided by t(4).
11
Suppose 17*q - 15*q - 18 = 0. Calculate the remainder when 14 is divided by q.
5
Let p(j) = 2*j**3 + 2*j**2 - 3*j. Calculate the remainder when p(2) is divided by (-20)/6*(-3 - 0).
8
Let h = 5 - 0. Suppose -4*q = 3*s - 0*s - 92, -h*q = 2*s - 108. Calculate the remainder when q is divided by 11.
9
Let p be -6*28*(-1)/(-3). Let g = -38 - p. Let v(r) = r**2 + 4*r - 7. Calculate the remainder when v(6) is divided by g.
17
Let m(a) = 2*a**3 - 49*a**2 - 24*a - 12. Suppose s = -0*s + 25. What is the remainder when s is divided by m(25)?
12
Let h(z) = z**2 - 4*z - 2. Let o be h(4). Let r be (-1)/o - 8/(-16). Calculate the remaind