 is divided by u.
3
Let c(i) = -i**3 + 3*i + 4. Let x be c(3). Calculate the remainder when 54 is divided by (x/4)/(2/(-8)).
12
Suppose -2*r + 21 = -33. Suppose -f = 2*f + r. What is the remainder when (-2)/(-9) - 178/f is divided by 11?
9
Let j(m) = m**3 + 7*m**2 + 7*m + 6. Let y be j(-6). Suppose 2*r = -y*r + 22. Calculate the remainder when 20 is divided by r.
9
Suppose -4*z = -5*n + 17, -12 = z + 3*z - 4*n. Let s(c) = 4*c**2 + c + 2. What is the remainder when -2 + 47 - z/(-2) is divided by s(-2)?
14
Let n be (-7 + 6)/(2/(-8)). Let g(s) be the third derivative of s**6/60 - s**5/12 + s**3/2 + 2*s**2. Calculate the remainder when g(n) is divided by 13.
12
Let b = 20 - -4. Calculate the remainder when 47 is divided by b.
23
Let g = -9 - -3. Let m = 15 - g. What is the remainder when m is divided by 8?
5
Suppose -13*z + 589 = 6*z. Calculate the remainder when 245 is divided by z.
28
Let q(h) = -h**3 + 9*h**2 - 7*h - 8. Let b be q(8). Let k(s) = -s**3 + s**2 - s + 21. What is the remainder when k(b) is divided by 12?
9
Suppose 0 = -2*n - 0*n + 172. Let b(t) = -2*t + 6. Calculate the remainder when n is divided by b(-8).
20
Suppose -4*o + g + 90 = 0, 2*g - g = -3*o + 64. Let h(m) = -4*m - 4. What is the remainder when o is divided by h(-3)?
6
Let g(k) = 2*k**2 + 6*k + 5. What is the remainder when g(-6) is divided by 11?
8
What is the remainder when (-1 - 21/(-6))*10 is divided by 13?
12
Let v(o) = -19*o**2 - 7*o - 6. Let z(y) = -18*y**2 - 6*y - 5. Let f(c) = 6*v(c) - 7*z(c). Let w = -2 + 8. Calculate the remainder when f(1) is divided by w.
5
Calculate the remainder when ((-5)/10)/((-2)/356) is divided by 23.
20
Suppose -c = r - 10, 1 - 6 = -2*c + 3*r. Suppose 3*z - 23 = -5*q + 21, -3*q + 40 = -5*z. Calculate the remainder when q is divided by c.
3
Let q(w) be the second derivative of w**3/6 + 5*w**2/2 + w. Let j be q(-3). Suppose -j*z + 3*z = 22. Calculate the remainder when 65 is divided by z.
21
Let j(y) = y**2 - 4*y - 1. Let c be j(-4). Let l = -21 + 2. Let g = l + c. Calculate the remainder when 22 is divided by g.
10
Let o = 16 - 12. Suppose o*m = 8*m - 156. Calculate the remainder when m is divided by 3/9 - 59/(-3).
19
Let n = 11 + -4. Suppose -25 - 75 = -5*v. What is the remainder when v is divided by n?
6
Suppose -2*t + 6 = -0*t. Let r(z) = z**2 + 1 - 3 + 1 + 2*z. Calculate the remainder when t is divided by r(-3).
1
Let m be (-2 - (-7)/3)*-3. Let g be 1*m - (-11 + 4). Let q(l) = -l**3 + 6*l**2 + 8. What is the remainder when 31 is divided by q(g)?
7
Let u(v) = v**3 + 9*v**2 - 19*v + 7. Calculate the remainder when u(-9) is divided by 45.
43
Let w = -214 - -332. What is the remainder when w is divided by 30?
28
Let m be (-40)/(-18) - (-16)/(-72). Suppose m*w + 2*l - 35 - 1 = 0, l = w - 24. What is the remainder when w is divided by 12?
9
Let t(g) be the third derivative of g**4/24 + g**3/3 + 4*g**2. Let s(k) = 5*k**2 - k. Let l be s(1). Calculate the remainder when 9 is divided by t(l).
3
Calculate the remainder when 36 is divided by (-3)/(-21) - 138/(-14).
6
Let f be (-8)/(-28) + (-396)/14. Let i = f + 40. What is the remainder when 23 is divided by i?
11
Let a(o) = o + 5. Let v = 11 + -11. Calculate the remainder when 12 is divided by a(v).
2
What is the remainder when (6 - 3) + 9 - 1 is divided by 7 + -2 + (1 - 0)?
5
Let y(x) = x**3 + 15*x**2 - 2*x - 26. Calculate the remainder when y(-15) is divided by (-1)/2 - (-5)/2.
0
Suppose 16*h - 11*h - 10 = 0. Suppose i + 4*i = 20. Calculate the remainder when i is divided by h.
0
Let s(p) = p**3 - 14*p**2 - 11*p + 12. What is the remainder when s(15) is divided by 25?
22
Suppose -d = -3*m + 8, 0*d - 3*d = 2*m - 20. Suppose -15 - 1 = -m*h. Let y(i) = i**2 - 2*i + 3. What is the remainder when y(3) is divided by h?
2
Suppose -11*p + 80 = -85. Let b = 3 + -4. What is the remainder when 9 is divided by (p/(-6))/b*2?
4
Let x(n) = -n**2 - 14*n - 21. What is the remainder when 14 is divided by x(-12)?
2
Let g(o) = -o**3 - 8*o**2 - o - 6. Let m be g(-8). Suppose m*b = 5 + 9. Let c = -5 + b. What is the remainder when c is divided by 1?
0
Suppose 2*x + 4 = -2*z, 3 = -3*z - 9. Let o(s) = s - 4. Let r be o(x). What is the remainder when 9 is divided by 33/7 - r/7?
4
Let q = -15 + 43. Calculate the remainder when 135 is divided by q.
23
Suppose 0 = -12*t + 8*t + 20. Let v(d) = d**3 - 3*d**2 - 2*d + 5. Calculate the remainder when v(t) is divided by 12.
9
Suppose o + o = 20. Suppose 392*l - 57 = 389*l. What is the remainder when l is divided by o?
9
Let p(b) = -b + 17. Suppose 2*d + 3 = 7. What is the remainder when p(15) is divided by d?
0
Let z = -8 - -12. Suppose -80 = -0*k - z*k. Let l = k - 1. What is the remainder when l is divided by 10?
9
Let b(t) = 4*t**3 + 3*t**2 + t + 2. Let z be b(-2). Let x = 3 - z. Calculate the remainder when x is divided by 13.
10
Suppose -2*r = -3*g + 11, 0*r + 2*r = 4. What is the remainder when g is divided by 0/4 - -2*1?
1
What is the remainder when (-3)/(-2)*(9 - -25) is divided by 14?
9
Let s(t) be the second derivative of t**4/6 - 7*t**3/6 + 2*t**2 - 9*t. Calculate the remainder when 14 is divided by s(4).
6
Suppose 1 = 2*k - 11. Suppose -k*w + 3*w = -69. What is the remainder when w is divided by 8?
7
Let s(x) = x + 10. What is the remainder when s(16) is divided by 9?
8
Suppose -3*r + 3*j = -213, -j + 0*j + 279 = 4*r. What is the remainder when 6/(-18) - r/(-3) is divided by 12?
11
Suppose 4*a - 39 - 77 = 0. Suppose 5*z - 5*u - 125 = 0, z + u - 3*u = a. Calculate the remainder when z is divided by 9.
3
Suppose -2*s - 400 = -6*s. Let x = -58 + s. Calculate the remainder when x is divided by 11.
9
What is the remainder when 59 is divided by ((-18)/15 + 2)*40?
27
Let s(i) = -10*i - 1. Let b be (-1 - 3)*(-5)/10. Suppose b*h + 3*g - 7 = 0, -g + 19 = -4*h + 4*g. Calculate the remainder when 17 is divided by s(h).
8
Suppose -6*y + 100 = -20. What is the remainder when 78 is divided by y?
18
Let p(f) = f**2 - 5*f - 8. Let u be p(6). Calculate the remainder when (49 + 0)/(u/(-2)) is divided by 13.
10
Let k = -736 + 1105. Suppose -k - 39 = -4*y. What is the remainder when y is divided by 26?
24
Let y(h) = h**3 - 3*h**2 - 3. What is the remainder when 64 is divided by y(4)?
12
Suppose 3*v - 12 = 0, -5*u - 3*v + 23 = -9. Suppose -z + u*z + 50 = 4*y, -2*z = -4. What is the remainder when y is divided by 5?
4
Let p be (21/(-14))/(3/(-8)). Suppose 2*h - l - 11 = -p*l, -36 = -3*h + 2*l. What is the remainder when 37 is divided by h?
7
Suppose a - 3*y = 4*a, 50 = 5*a - 5*y. Suppose -2*k = -a*k + 39. What is the remainder when 36 is divided by k?
10
Let d(k) = -k**2. Let u be d(-3). What is the remainder when 11 is divided by (14/6)/((-3)/u)?
4
Let w(q) = 4*q**3 - 7*q**2 + 12*q - 5. Let t(c) = -5*c**3 + 6*c**2 - 13*c + 4. Let n(h) = -3*t(h) - 4*w(h). Calculate the remainder when n(8) is divided by 22.
20
Let x = 2 - -11. Let b = -48 - -97. Let d = b - 25. Calculate the remainder when d is divided by x.
11
Suppose -3*h = -5*h + 10. Suppose 4*w = -h*r + 12, -2*r = -3*r. Suppose 0 = 2*v + 2*s - 34, w*v + s - 34 = v. Calculate the remainder when v is divided by 6.
5
Let f = -2 - -8. Let x = f + 12. Calculate the remainder when x is divided by 10.
8
Suppose i + 295 = 2*w, 0 = -w + 4*i - 2*i + 152. Suppose 2*n + 166 = 5*s, 0 = 4*s + n + 4*n - w. What is the remainder when s is divided by -2 - -15 - 40/10?
7
Let d = -12 + 16. Suppose 0*u + u + 127 = 2*w, 0 = 2*w - d*u - 112. What is the remainder when w is divided by 17?
15
Let h(t) = 10*t**2 - 1. Calculate the remainder when (1 - -5)*16/6 is divided by h(1).
7
Let m(v) = 2*v**3 + 13*v**2 + v + 12. Calculate the remainder when m(-6) is divided by 15.
12
Let p = 85 - 84. Let q(s) = 2*s**2 - s - 1. What is the remainder when q(-1) is divided by p?
0
Suppose -4 = -2*p - 3*x + 2, 3*x - 9 = -3*p. Let i(u) = 3*u - 2*u - p + 0*u. Calculate the remainder when 9 is divided by i(6).
0
Suppose 0*q + 4*q = 136. Suppose 0 = -n + 3*x + 5, 3*n - 3 = 3*x - 0. Let z = q - n. What is the remainder when z is divided by 12?
11
Let r(z) = -2*z + 1. What is the remainder when r(-6) is divided by 7?
6
Suppose 5*o - 8*o + 15 = 0. What is the remainder when 24 is divided by o?
4
Suppose -q + 3*q + 6 = 0. What is the remainder when -9*(-6 + q/(-1)) is divid