f = a - -20. Suppose -3*r - i - 4*i = -20, f*i - 4 = -r. Calculate the remainder when r is divided by 6.
4
Suppose 4*p + 30 = 3*r + p, 0 = r + 2*p + 5. Suppose -7 = -r*j + 4*j. Let u(n) = -11*n**3 + n**2 + 2*n + 1. What is the remainder when u(-1) is divided by j?
4
Let x(t) = -10 + 13*t - 2*t**2 + 4 + t. What is the remainder when 26 is divided by x(5)?
12
Suppose -w + 114 = -99. Calculate the remainder when w is divided by 60.
33
Suppose 89*a - 81*a - 704 = 0. What is the remainder when a is divided by 12?
4
Let l = 5 + 7. Suppose -4*z + l = -20. What is the remainder when 37 is divided by z?
5
Calculate the remainder when 82 is divided by 2856/(-280)*(-5)/3.
14
Let q(z) = 6*z**2 - 39*z + 17. What is the remainder when q(11) is divided by 15?
14
Suppose -10*x + 266 = -754. Let q(o) = -o + 46. What is the remainder when x is divided by q(20)?
24
Let m(j) = -8*j. Let l be m(-1). Let r = 9 - l. Let b = -30 - -33. Calculate the remainder when b is divided by r.
0
Let z = 190 - 165. Let d = 13 + -3. Calculate the remainder when z is divided by d.
5
Let u be (4 - 20/4)*17. Let d(b) = b**2 + 17*b + 4. Calculate the remainder when 15 is divided by d(u).
3
Let q(k) = 12*k**2 - 20*k + 40. What is the remainder when q(2) is divided by 13?
9
Let s be (12/(-5) + (-54)/(-135))/(-1). Suppose -s*t + 2*n + 90 = 0, -t - 2*n - 135 = -4*t. What is the remainder when t is divided by (14 - -2)/(0 - -1)?
13
Suppose 5*p = 3*a + 70, 84*a - 82*a + 14 = p. Calculate the remainder when 175 is divided by p.
7
Suppose 5*m - 32 = -2*p, 0 = -3*p - p - 16. What is the remainder when 76/6 - (3 + 42/(-18)) is divided by m?
4
Let u = 6 + 19. Suppose -2*l - 3 = -59. Suppose l = 5*v - v. Calculate the remainder when u is divided by v.
4
Let s = -77 + 81. Suppose -k + z + 32 = 0, -5*k + s*z + 3 = -162. Calculate the remainder when 73 is divided by k.
36
Let g(t) be the third derivative of -t**4/6 - t**3/2 - 7*t**2. Suppose 0 = 4*j - 4, -17 = 2*f + 3*f - 2*j. What is the remainder when g(f) is divided by 4?
1
Suppose -3*b = 190*v - 189*v - 19, -4*b + 32 = -2*v. Calculate the remainder when 215 is divided by b.
5
Let c = -7 + 60. Calculate the remainder when 149 is divided by c.
43
Let w be (1*4)/((-22)/(-33)). Suppose w = -133*k + 136*k. Let c = -7 + 12. What is the remainder when c is divided by k?
1
Suppose -3*v + 8*y - 5*y = 6, -2*y - 8 = 4*v. Let r(m) = -m**2 - m - 5*m**2 - m**3 + 2*m**2 + 5*m**2 + 2. Calculate the remainder when r(v) is divided by 6.
4
Suppose 32 = 2*p - 70. Let k = p + -35. What is the remainder when 3/(-12) + 378/8 is divided by k?
15
Let x = 261 + -242. Calculate the remainder when x is divided by 7.
5
Suppose -9 = -4*a + 11. Suppose -59 = -8*b - 19. Let o(c) = -c**2 + 5*c + 13. Calculate the remainder when o(b) is divided by a.
3
Let n(d) = d**3 + 2*d**2 + 3*d - 29. Let r be n(0). Let k = r - -46. What is the remainder when 50 is divided by k?
16
Suppose 5*u + 5*q = 9*q - 22, 0 = 5*u - q + 13. What is the remainder when ((-96)/(-20) + -8)/(u/35) is divided by 19?
18
Let y(z) = -z + 1. What is the remainder when y(-18) is divided by 7?
5
Let p = -37 + 20. Let r = 19 + p. Suppose 2*m - r*w - 58 = 0, -55 = -2*m + 2*w + 3*w. What is the remainder when m is divided by 11?
8
Calculate the remainder when 115 is divided by 24 + (-42)/(-6) + -2.
28
Suppose 7*o - 110 = 2*o. Let p = o + -8. What is the remainder when p is divided by 4/2 - (-5 + 1)?
2
Let u(o) = 10*o**3 + o**2 + 2*o - 2. Calculate the remainder when 163 is divided by u(1).
9
Suppose -42 = 4*l - 5*l. Let k = 1866 + -1855. Calculate the remainder when l is divided by k.
9
Suppose 0 = -46*u + 45*u - 1. What is the remainder when (5 - 1 - 5)*71/u is divided by 15?
11
Let b(v) = -2*v**3 - 3*v**2 + 8*v - 10. Calculate the remainder when b(-5) is divided by 28.
13
Let g(f) = -6*f**3 - f**2 + 2*f - 1. Let k(d) = -d**3 + 9*d**2 + d - 7. Let p be k(9). What is the remainder when g(-2) is divided by -9*35/(-15)*(-1 + p)?
18
Suppose 4*f - 68 = k, -3*k - 4*f - 174 = -f. Let j be (-2 + k - 2) + 0. Calculate the remainder when ((-9)/(-18))/((-2)/j) is divided by 10.
6
Let q = -10 + 2. Let o be 4/16 - (-202)/q. Let d = -7 - o. What is the remainder when d is divided by 7?
4
Suppose 28*t - 248 = -52. Calculate the remainder when 120/4 - (-1 + 2) is divided by t.
1
Let b = 7 + -5. Suppose -11*n - 38*n = -49. What is the remainder when b is divided by n?
0
Let a(t) = -t**2 - t - 1. Let y be a(-3). Let c be 6/21 - 12/y. Suppose 5 = -c*h + 3*p + 56, 3*h = -3*p + 54. Calculate the remainder when 41 is divided by h.
20
Let z(x) = -549*x**2 - 6*x + 3. Let s be z(2). What is the remainder when s/(-60) + 2/8 is divided by 10?
7
Let w(k) = 9*k - 52. Calculate the remainder when w(7) is divided by 11.
0
Suppose 0 = -0*k + 5*k + 5*c + 15, 4*k + 2*c = -2. Suppose 26 = -5*n - 4. What is the remainder when (-26)/13 - (0 + n) is divided by k?
0
Let t(z) = 20*z**3 - z. Let f(m) = -5*m**3 + 4*m**2 - m - 2. Suppose -4*k - 14 = q, 5*q + 3*k + 30 = 11. What is the remainder when f(q) is divided by t(1)?
18
Suppose 0 = -t + 4*v + 11, -4*t + 6 = -4*v - 50. Calculate the remainder when 794 is divided by t.
14
Calculate the remainder when ((-992)/(-40))/((-1)/(-10)) is divided by 25.
23
Let a(p) = 2*p**3 - p**2 + 2*p. Let j be a(0). Let k(x) = x**2 + 3*x + 14. What is the remainder when 51 is divided by k(j)?
9
Suppose 9*o - 4*o - 20 = 0. Let m(j) = j**3 - 2*j**2 - 5*j + 5. What is the remainder when 84 is divided by m(o)?
16
Let p(d) = 36*d**3 - 5*d**2 - 2*d + 5. Calculate the remainder when 47 is divided by p(1).
13
Suppose 8*p - 5*t - 425 = 3*p, -269 = -3*p - 4*t. Suppose 4*q - 293 = p. What is the remainder when q is divided by 33?
29
Let t be (-4)/10 - 20/(-50). Suppose a - s - 30 = t, 0 = 2*a - 3*s - 2*s - 63. What is the remainder when a is divided by 10?
9
Suppose 3*s = 22*s - 342. What is the remainder when 125 is divided by s?
17
Suppose 5*i = 3*i + 22. Let p(w) = -w**2 + 15*w + 1. What is the remainder when p(i) is divided by 23?
22
Let m(s) = 2*s**2 + 4*s. Let a be m(-3). Suppose -13*q + 16*q - a = 0. Suppose 3*f = -q*f + 275. Calculate the remainder when f is divided by 14.
13
Let q(l) = l**3 + 5*l**2 + 2*l - 4. Let m be q(-4). Let a(b) = 3*b**2 + 0 - 3 - b**2 - m*b. What is the remainder when 23 is divided by a(4)?
10
Let a = -3 - -28. Suppose -4*i + a = -43. Calculate the remainder when i is divided by 6.
5
Let g(j) = j**3 - 3*j**2 + 21*j - 116. What is the remainder when 622 is divided by g(5)?
37
Let p be (-4)/(-18) - (-316)/36. Suppose 2*n + n + p = 4*w, -3*n - 12 = -5*w. Calculate the remainder when n*(-4)/(12/(-27)) is divided by 3.
0
Let w = -4112 - -4135. Let r = -20 - -33. What is the remainder when w is divided by r?
10
Let n(d) = -d**2 - 11*d + 246. Calculate the remainder when n(0) is divided by 51.
42
Suppose 16*a - 25*a + 378 = 0. What is the remainder when a is divided by 22?
20
Let x(j) = -2*j - 20. Let m be x(-11). Suppose p = -m*p + 42. Calculate the remainder when 41 is divided by p.
13
Let h = 241 + -171. Calculate the remainder when h is divided by 24.
22
Suppose m - 5 = y, 2*m - 2*y + 3*y = 4. What is the remainder when (-272)/(-6) - 1/m is divided by (-2)/2*(5 + -28)?
22
Let k(v) = 4*v + 1 + 7*v**2 - 5*v**2 - v**2. Calculate the remainder when 22 is divided by k(-5).
4
Let q(w) = -w**3 - 5*w**2 + 8*w + 14. Let p be q(-6). Suppose -4 = -p*f + 2. What is the remainder when f is divided by 1?
0
What is the remainder when 170*20/15*15/20 is divided by 30?
20
Suppose 3*r = 7 - 19, -2*l - 6 = 3*r. Suppose -4*j = 4*a - 24, l*j - 3*a = a + 11. Let o = 14 + j. What is the remainder when 74 is divided by o?
17
Suppose 4*u + 2*r - 332 = 0, 2*u - 241 = 4*r - 95. Suppose 5*a + 2*b = u, a = -5*b - 0*b + 7. Calculate the remainder when a is divided by 6.
5
Let p = 143 + -104. What is the remainder when p is divided by 11?
6
Let t = 4 + -4. Calculate the remainder when (-41 - -2)*2/(-6) is divided by (2 + t)*(8 - 6).
1
Let q(m) = -m**3 + 3*m**2 + 2*m + 1. Suppose -82 = -5*w - 2. What is the remainder when w is divided by q(3)?
2
Suppose 5*n + 3*w - 95 = 0, 5*w - 44 = -4*n + 19. What is the remainder when 283 is divided by n?
19
What is the remainder when (0 - (-15)/2)*14 is divided by (-161)/(-6) - (-7)/42?
24
Let x