) = c**2 + 16*c - 6. Let l be m(-16). Let f(s) = s**3 + 6*s**2 - 5*s - 14. Calculate the remainder when 47 is divided by f(l).
15
Calculate the remainder when 65 is divided by -1 - -1 - ((-1 - 4) + -6).
10
Let t be 187/34 + 1/2. Calculate the remainder when 68 is divided by 4/t - (-52)/3.
14
Suppose 0 = -3*x - 5*y + 20, -3*y + y = -5*x + 85. Calculate the remainder when 56 is divided by x.
11
Let x = 15 - 11. Suppose 4*d = 5*r + 246, x*r - 77 - 59 = -2*d. What is the remainder when d is divided by 22?
20
Let a = -101 + 104. What is the remainder when 8 is divided by a?
2
Let h = 69 - 57. Let l(n) = 6*n + 4. Let f be l(5). Let r = 69 - f. What is the remainder when r is divided by h?
11
Let a(c) = c**3 + 12*c**2 - 16*c + 8. Calculate the remainder when a(-13) is divided by 8.
7
Let o(v) = 3*v + 7. Let x be o(-5). Calculate the remainder when (19/2)/((-4)/x) is divided by 7.
5
Suppose -3*h - f + 6*f = -44, 2*h + 2*f = 24. What is the remainder when h is divided by 5?
3
Let t = -2 + 2. Suppose x + 5*o + 8 = t, -x + 22 = -o + 6. Suppose 0 = 4*q + q - 110. What is the remainder when q is divided by x?
10
Let o be (-382)/4 - (-6)/(-12). Let b = -52 - o. Let z = 45 - 30. What is the remainder when b is divided by z?
14
Let x(z) be the third derivative of -z**6/120 - 7*z**5/60 - 3*z**4/8 - 4*z**3/3 + z**2. Calculate the remainder when 28 is divided by x(-6).
8
Let g = -45 - -475. What is the remainder when g is divided by 12?
10
Let b be (2 + 15/(-6))*-6. Suppose -5*a + 2*h + b*h = 5, 3*a = -h - 11. Let w = a + 8. Calculate the remainder when w is divided by 3.
2
Suppose 15*s = 10*s + 30. What is the remainder when 6 is divided by s?
0
Suppose -4*p + 7 + 1 = 0. Let f = 7 - p. Suppose r + 80 - 8 = f*v, -v = -4*r - 3. Calculate the remainder when 43 is divided by v.
13
Let c(y) = -y**2 - 3*y + 2. Let n be c(-3). Let i(o) = 5*o**3 + 3*o**2 - 2*o. Calculate the remainder when i(n) is divided by 13.
9
Suppose -4*y + 2*q = -50, 5*q + 1 = -y + 19. Let r(u) = -4*u**3 + u + 1. Let m be r(-1). Suppose -4*h = m - 32. What is the remainder when y is divided by h?
6
Let r(z) = z**3 + 9*z**2 + 4*z - 7. Let v be r(-8). Suppose 5*l + v = -0. Let n(c) = -2*c - 6. Calculate the remainder when 7 is divided by n(l).
3
Let q(h) = -2 + 10*h + 2*h**2 - h**3 + 4*h**2 - 5*h. What is the remainder when q(5) is divided by 10?
8
What is the remainder when (-6)/(-33) - (-753)/33 is divided by 12?
11
Suppose -h = -2*h + 8. Let l = h + -1. Let v = 3 - -1. Calculate the remainder when l is divided by v.
3
Suppose -53 - 42 = -5*k. What is the remainder when ((-3)/(-6))/((-1)/(-74)) is divided by k?
18
Suppose -225 = -5*h - 3*u + 125, h - 52 = 3*u. Let x = -61 + 139. Suppose h = 5*l - x. Calculate the remainder when l is divided by 10.
9
Let m(o) = 22*o - 4. Let d(n) = -15*n + 3. Let r(t) = -7*d(t) - 5*m(t). Let c be r(-5). Let p = -16 + c. What is the remainder when p is divided by 5?
3
Let k(l) = -5*l**2 - 6*l - 9. Let t(s) = s**2 + 1. Let o(n) = k(n) + 4*t(n). Let c be o(-10). Let z = -29 - c. What is the remainder when 62 is divided by z?
14
Suppose 0*i = -i + 1. Let b(l) = 6*l**2 + 1. What is the remainder when b(i) is divided by 3?
1
Suppose b = -2*a + 4, -3*b = -3*a - 2*a - 45. Let l = -337 - -366. What is the remainder when l is divided by b?
9
Let o = -3 + 5. Suppose o*k = -k - 6. What is the remainder when 14 is divided by 8/4*(-5)/k?
4
Let v(w) = w**3 - 4*w**2 + 2*w - 1. Suppose -d - 4*d = 0. Let u be (-20)/(-4) + d + -1. Calculate the remainder when v(u) is divided by 4.
3
Let r(z) = z**2 + 3*z**2 - 2 + 3*z - 4*z - 3*z**2. Calculate the remainder when 15 is divided by r(3).
3
Suppose 38 = 2*g - n - 3*n, -g + 7 = n. What is the remainder when 31 is divided by g?
9
Let f = -37 - -43. Let v(h) = h**3 - 4*h**2 - 6*h + 5. Let i be v(5). Let u(r) = -r**2 + 4. What is the remainder when f is divided by u(i)?
2
Let y(w) = 11*w**2. Calculate the remainder when (-2)/8 + (-1980)/(-48) is divided by y(1).
8
Suppose 5*s = -4*b + 35, 2*b - 2*s = -0*b + 4. What is the remainder when (-7)/(-2)*(-4)/(-1) is divided by b?
4
Let b = 39 + -28. Let t = 19 - b. Calculate the remainder when 15 is divided by t.
7
Let r(x) = -x**2 - x - 6 - 6*x - 3*x. Calculate the remainder when 28 is divided by r(-8).
8
What is the remainder when 45 is divided by 4*(-9)/(-12) - -13?
13
Suppose -4*u + 4 = 0, 3*r - u = -0*u + 323. Calculate the remainder when r is divided by 28.
24
Suppose -3*k + 5*k - 22 = 0. Let l = 2 + k. Let r(o) = o**3 - 2*o**2 + 2*o + 1. Calculate the remainder when l is divided by r(2).
3
Let x be (1 + 0)*(2 + 0). Suppose -x*l + 24 = -14. Calculate the remainder when l is divided by 10.
9
Suppose -2*r + 7 = -3*r + 3*m, 3 = -2*r - 5*m. Let j = -10 + 14. What is the remainder when j is divided by (-20)/15*6/r?
0
Suppose -t = 4*t - 50. Let i = -5 + 8. Let q = 15 + i. What is the remainder when q is divided by t?
8
Suppose -3*d + 24 - 99 = 0. Let y = d + 43. Calculate the remainder when y is divided by 4.
2
Let o = -3 - -3. Let i = 4 - -18. Calculate the remainder when 45 - 3 - (-1 - o) is divided by i.
21
Let t = -9 + 39. What is the remainder when 117 is divided by t?
27
Let j be -1*((-14)/2 - 1). Suppose -j = -o - o. What is the remainder when 51 is divided by (-1 + 2)*(22 + o)?
25
Let f(k) = 12*k**3 + k - 1. Let i(l) = 3 + 8*l - 4 + 4*l**2 - 2*l**2. Calculate the remainder when i(-6) is divided by f(1).
11
Let w be (-4)/10 + (-110)/(-25). Suppose 0 = -0*y + w*y - 20. Calculate the remainder when y is divided by 2.
1
Suppose 0*u = -2*u + 24. Let k = 0 - -5. Calculate the remainder when u is divided by k.
2
What is the remainder when 43 is divided by (-1)/2*(552/(-3))/4?
20
Calculate the remainder when (15 - -5)/(4/10) is divided by 26.
24
Let x = 17 + -32. Calculate the remainder when 13 is divided by (-2)/4 - x/2.
6
Let i(a) = a**3 + 12*a**2 - 18*a - 14. Calculate the remainder when i(-13) is divided by 18.
15
Suppose 4*p + p = 460. What is the remainder when 47 is divided by p/6 + (-14)/(-21)?
15
Suppose 3*w - 44 = -5*f, -f - 2*w - 3*w = 0. Calculate the remainder when 15 is divided by f.
5
Let h = 44 + -25. Calculate the remainder when 75 is divided by h.
18
Let i = -5 + 17. Suppose 0 = b - 5*b + 700. Suppose -8*w + b = -3*w. What is the remainder when w is divided by i?
11
Let f(z) = -z**3 - 2*z**2 + 4*z - 2. What is the remainder when 52 is divided by f(-4)?
10
Let v(o) be the second derivative of -5*o**3/3 - 3*o**2 + 3*o. Let b(w) = -w**3 + 4*w**2 + 6*w + 7. What is the remainder when v(-4) is divided by b(5)?
10
Suppose 7*z = -z + 32. Calculate the remainder when 12 is divided by z.
0
Suppose 99 = 2*y - c + 17, 0 = -3*y - 5*c + 149. What is the remainder when y is divided by 11?
10
Let z(p) = p**3 - 4*p**2 + 6*p + 4. Calculate the remainder when z(3) is divided by 7.
6
Suppose -34 = -q - 4*g + 18, 0 = g + 5. What is the remainder when q is divided by 19?
15
Let i = 159 - 80. Calculate the remainder when i is divided by 21.
16
Let w(l) = -l**3 - 3*l**2 + 3*l + 2. Let i be w(-3). Let m(x) = -2*x + 10. What is the remainder when 47 is divided by m(i)?
23
Let m(y) = y**3 + 2*y**2 - 3*y + 3. Let t be m(-3). Suppose -2 = t*s + 5*d, 3*d - 3 = 5*s - 11. Let h = 14 - 12. What is the remainder when h is divided by s?
0
Suppose -5*z + 55 = -175. Calculate the remainder when z is divided by 24.
22
Suppose 3*h - h - 22 = 0. What is the remainder when h is divided by 4?
3
Calculate the remainder when (-1)/2 - (-1185)/30 is divided by 20.
19
Suppose -3*a + 0*a = -18. Suppose 0*k + 4*k = -8. Calculate the remainder when a is divided by 3 + (-3 - (-2 + k)).
2
Suppose 3*d = 7 - 4. Calculate the remainder when 7 is divided by (-1*d)/((-8)/32).
3
Let t = 1 - 1. Let u be 1 - (-1 - t)*2. What is the remainder when 8 is divided by 50/15*u/2?
3
Suppose -50*y + 53*y = 36. Suppose -2*c + 0*c + 66 = 0. Calculate the remainder when c is divided by y.
9
What is the remainder when 33 is divided by (-3)/((-72)/(-266) - 6/14)?
14
Suppose -m + 244 = 3*m + 4*p, -308 = -5*m - 2*p. Let d(g) = g**3 + 7*g**2 + 6*g + 3. Calculate the remainder when m is divided by d(-3).
20
Let v be (76/(-8))/((-1)/(-16)). Let f = 285 + v. Suppose -3*m + f = -2*a - 0*a, m + 2*a - 31 = 0. What is the remainder when m is divided by 11?
