ppose 6*f - f - 55 = g. Let v = 2 - -4. Calculate the remainder when f is divided by v.
5
Let q(y) be the second derivative of -y**3/3 - 7*y**2/2 - y. Let d be q(-5). Suppose d*r - 5*r = -88. What is the remainder when r is divided by 15?
14
Let a(g) = 2*g - 4. Let b be a(3). Suppose 3*w - 2*r = 14, 4*w = -b*r - 3*r + 11. What is the remainder when (3 - w)/1 + 50 is divided by 17?
15
Let i = 23 - 10. What is the remainder when 38 is divided by i?
12
Let i(u) = u**2 + u + 2. Let w be i(0). Suppose 0 = -2*g - 5 - 1, w*r - 5*g = 67. Let q(o) = o**2 + 5*o + 3. What is the remainder when r is divided by q(-6)?
8
Suppose 4*b = -b + 390. What is the remainder when b is divided by 27?
24
Let w(c) = c + 1. Let v be w(-7). Let x(k) = k**3 + 6*k**2 - k - 2. Calculate the remainder when x(v) is divided by 3.
1
Suppose 0 = -6*w + 3*w + 81. What is the remainder when w is divided by 6?
3
Suppose 0 = -9*w + 4*w + 40. Calculate the remainder when 23 is divided by w.
7
Calculate the remainder when 2 + (-18)/(-8) - 8/32 is divided by 2.
0
Let j(g) = -g**3 - 7*g**2 + 7*g - 5. Let t be j(-8). Suppose 8*d = t*d + 90. What is the remainder when d is divided by 5?
3
Let y(w) = 25*w**2 - w + 1. Let u = 139 + -34. Calculate the remainder when u is divided by y(-1).
24
Let b(a) = 15*a**2 - a. Suppose -g + 3 = 3*y, y = -g + 2*y + 11. Calculate the remainder when b(-1) is divided by g.
7
Let f(y) = 0*y**2 + 0*y**2 - 3 - y**2 - 8*y. Let o = -27 - -61. What is the remainder when o is divided by f(-3)?
10
Let s(p) be the second derivative of -p**5/20 - p**4/12 + p**2 - 5*p. Calculate the remainder when s(-5) is divided by 35.
32
Let w = 6 - 4. Suppose 3*u = 2*d - 33, -w*u + 30 = 2*d + d. Calculate the remainder when 23 is divided by d.
11
Suppose -117 - 43 = -4*z + 3*u, 0 = -2*u. What is the remainder when 158 is divided by z?
38
Let i be ((-8)/(-2))/(4/2). Suppose -2*b - 21 = 5*u, i*u - 5*u - 17 = -b. What is the remainder when 2 is divided by b?
0
Let k(n) = -48*n + 2. Calculate the remainder when k(-1) is divided by 15.
5
Let h(w) = w**3 + w**2 + w - 1. Let d(p) = 5*p**3 + p**2 + p - 4. Let j(l) = -d(l) + 4*h(l). What is the remainder when (16/(-5))/((-2)/10) is divided by j(3)?
7
Let s = 10 - 3. Suppose j + 124 = 5*c, 3*j - 3 = -0*j. What is the remainder when c is divided by s?
4
Suppose 2*w - 6 = -w. Suppose a = -2*b - 0*a, 2*b - 4*a = 20. Calculate the remainder when w is divided by b.
0
Let f = 22 + -16. What is the remainder when 9 is divided by f?
3
Let d = -11 - -17. Suppose -d*z = -z - 145. Suppose 0 = -2*r + 3 + z. What is the remainder when 46 is divided by r?
14
Let w = 11 - 3. Calculate the remainder when 23 is divided by w.
7
Suppose 5*h = 34 - 4. Let l be 0*((-5)/(-2) + -2). Suppose -42 = -3*y + 2*y - 5*a, l = -5*a + 25. What is the remainder when y is divided by h?
5
Let u = -4 - 5. Let l = 15 + u. Calculate the remainder when 9 is divided by l.
3
Suppose 4 = -4*c, 2*c - 53 = -2*h - c. Calculate the remainder when h is divided by 10.
8
What is the remainder when 27 is divided by 252/(-24)*(-4)/6?
6
What is the remainder when 113 is divided by -8*(1 + -3) + -26 + 29?
18
Let b be 4*6/8*6. Let k(f) = f**2 + 3*f. Calculate the remainder when -2*(-21)/b*3 is divided by k(-4).
3
Let j be ((-34)/(-5))/(4/20). Let k(v) = v**3 - 5*v**2 - 6*v + 2. Let u be k(6). Suppose 0*q - u*q = -j. Calculate the remainder when 32 is divided by q.
15
Let m = -71 - -80. Let v = 56 - 40. Calculate the remainder when v is divided by m.
7
Let w(z) = -12*z**2 + z + 1. Let i be w(-1). Let o = 24 + i. Suppose 0*n + 4*n - 136 = 0. What is the remainder when n is divided by o?
10
Let r(b) = 2*b - 6. Calculate the remainder when r(5) is divided by 3.
1
Let f(x) = x**3 + 5*x**2 - x - 2. What is the remainder when 53 is divided by f(-4)?
17
Let v(m) = m**3 + 6*m**2 + 3. Let t be v(-6). Suppose u - 8 = t. What is the remainder when 19 is divided by u?
8
Let h = 55 - 39. Let n = 55 - h. Calculate the remainder when n is divided by 14.
11
Suppose -2*c - 16 + 4 = 0. Let l(p) = -6*p - 15. Calculate the remainder when 61 is divided by l(c).
19
Let a = -33 + 20. Let r = 23 + a. What is the remainder when 37 is divided by r?
7
Suppose -249 = l - 6*l - 3*x, 3*l - 156 = -4*x. Let s = l - 33. Calculate the remainder when 2 is divided by -5*(2 + (-36)/s).
0
Let w = 233 - 43. What is the remainder when w is divided by 32?
30
Suppose -d - 2*k = 3*d + 870, -2*d - 5*k - 423 = 0. Let n = -154 - d. What is the remainder when n is divided by 17?
14
Suppose 7*m + 6 = 9*m. Suppose -12 = -2*i + m*s - s, 3*s = 2*i - 17. Calculate the remainder when 2 is divided by i.
0
Suppose c - 3*w - 20 = -3, 2*w + 8 = 0. Suppose 0 = -p + 5 + c. What is the remainder when p is divided by 4?
2
Let f be 24/(4*3/78). Suppose f = -2*d + 6*d. Calculate the remainder when d is divided by 20.
19
Suppose 0*d = 3*d + 6. Calculate the remainder when 101 is divided by (8/8)/(d/(-52)).
23
Let g = -168 - -109. Let u = -40 - g. Calculate the remainder when 54 is divided by u.
16
Suppose 78 + 0 = 6*a. Calculate the remainder when 36 is divided by a.
10
Calculate the remainder when 663/13 + -1 + 3 is divided by 11.
9
Suppose -4*s + 21 = 5*t, 5*s = -0*s + t + 48. Suppose 12 = s*v - 6*v. What is the remainder when 6 is divided by v?
2
Suppose -3*s + 22 + 50 = 0. What is the remainder when s is divided by 7?
3
Let i be (-5)/(3*1/(-63)). Suppose 3*j - i = -9. Calculate the remainder when j is divided by 18.
14
Let b(w) = w**2 - 8*w - 2. Let q be b(8). Let u(s) = -s - 2 + 3*s - 2*s**3 - s + 1. Calculate the remainder when 23 is divided by u(q).
10
Let v = -3 - -5. Suppose -2*o - 4*x + 10 = 0, v*o - 6 = o - x. Calculate the remainder when 15 is divided by 58/o + (-4)/14.
7
Let q(f) = 5 - 4*f - 2 - 2. What is the remainder when q(-6) is divided by 7?
4
Let r = 5 - 4. Suppose -5*g = -r - 4. What is the remainder when 2 is divided by g?
0
Let h = 34 + -11. Calculate the remainder when 114 is divided by h.
22
Let h(y) = -y**3 + 4*y**2 + 9*y - 6. Let j be h(6). Let v be (j + 3/3)*-1. Let o = -10 + v. What is the remainder when 25 is divided by o?
12
Let v(c) = 3*c - 9. Let w be v(-6). Let j = w - -45. What is the remainder when 35 is divided by j?
17
Let o = -6 - -10. Let y(k) = k**3 - k**2 - 4*k + 6. Calculate the remainder when y(o) is divided by 20.
18
Suppose 0 = 5*b + 2*f - 53, -4*f - 5 = -1. Calculate the remainder when b is divided by 4.
3
Calculate the remainder when 44 is divided by (2/(-5))/((-1)/60).
20
Let l(k) = 3*k**2 + 26*k + 29. Let i(m) = -11*m - 4. Calculate the remainder when i(-5) is divided by l(-8).
12
Suppose 4*i - 4*t - 238 = -2*t, -3*t + 42 = i. Suppose k - 4*k + i = 0. What is the remainder when 56 is divided by k?
18
Let l(a) = -14*a + 1. Let d(u) = u. Let f(i) = 6*d(i) + l(i). Suppose -3*s + 51 = -0*s. Calculate the remainder when s is divided by f(-1).
8
Let y(k) be the third derivative of -k**6/15 + k**4/24 + k**2. What is the remainder when 11 is divided by y(-1)?
4
Suppose -4*a - n + 154 = 0, -2*a = -0*a - 2*n - 72. What is the remainder when a is divided by 21?
17
What is the remainder when -14*((-52)/8 + 3) is divided by 13?
10
Let c be 5/35 - (-34)/7. Suppose -25 = -c*q, 5*n - n - 64 = 4*q. Calculate the remainder when 40 is divided by n.
19
Let z(k) be the first derivative of -k**4/4 + k**3 + k**2/2 - 3*k - 2. Let h be z(3). What is the remainder when 1 is divided by 1*(1 + 0 + h)?
0
Calculate the remainder when 109 is divided by ((-74)/3*1)/(8/(-12)).
35
Suppose 4 = 2*k, 3*k + 0*k - 30 = -2*d. Calculate the remainder when 39 is divided by d.
3
Suppose 2*a + 0 = 6. Suppose -a*j + 459 = -3*s, -2*s + 286 = -j + 3*j. Suppose 5*w = w + j. Calculate the remainder when w is divided by 13.
11
Let i = 36 - 6. Suppose -5*n = n - 96. Calculate the remainder when i is divided by n.
14
Suppose 4*x = 12 + 24. Let w(q) = 2*q - 9. What is the remainder when (24/x)/(2/3) is divided by w(6)?
1
Let a(j) = j**3 - 5*j**2 + 2*j - 4. What is the remainder when a(5) is divided by 2?
0
Let b(o) = o**2 - 12*o - 54. What is the remainder when 47 is divided by b(16)?
7
Let r(c) = -c**3 - 13*c**2 - 2*c - 16. What is the remainder when 39 is divided by r(-13)?
9
Let a = -24 - -112. What is the remainder when a is divided by 30?
28
Let c(f) =