197 = 3*b - 2*v, 4*b - v - 439 = 0. What is the remainder when b is divided by 16?
15
Suppose -2 + 0 = -2*c - y, 4*c = y + 16. Suppose o - c*u - 15 = 0, -2*u - 3 = 1. Calculate the remainder when 15 is divided by o.
6
Suppose 0 = -0*j + 3*j - 75. Calculate the remainder when 68 is divided by j.
18
Suppose -4*x = 4*q - 0 - 96, -x - 72 = -3*q. Let f = 25 - -22. Calculate the remainder when f is divided by q.
23
Let u(s) = -s**3 + 10*s**2 - 11*s + 5. Calculate the remainder when u(8) is divided by 16.
13
Let l be (5 - -31)/(-6)*(-1)/2. Let c(s) be the first derivative of s**3/3 + 2*s + 1. What is the remainder when 20 is divided by c(l)?
9
Let y(w) = w**2 - 3*w. Let u be y(4). Suppose -2 = -u*d + 2*d. Suppose -7 - d = -v. Calculate the remainder when 14 is divided by v.
6
What is the remainder when (-46)/8*-1*(-8)/(-2) is divided by 12?
11
Suppose -f = -2*h + 2*f + 2, -3*h + 22 = 5*f. Suppose 2*q + 16 = h*q. What is the remainder when 14 is divided by q?
6
Let f(o) = 6*o + 2. Let c be f(-13). Let m = 164 + c. Calculate the remainder when m is divided by 23.
19
Let a be (-108)/(-10) + 2/10. Let i = a - 3. What is the remainder when -44*(2/4 + -1) is divided by i?
6
Let d = -11 + 5. Calculate the remainder when 4 is divided by 1*(d + 3 + 5).
0
Suppose -8 = z - 3*z, -2*b + 2*z = 2. Let c = 14 + -8. Suppose -c*r + r - 3*o + 34 = 0, o - 38 = -5*r. Calculate the remainder when r is divided by b.
2
Let r(j) = 8*j + 6. What is the remainder when r(9) is divided by 10?
8
Let h = 82 + -77. Calculate the remainder when 22 is divided by h.
2
Let b be 1/(-3) - (-25)/(-15). Let c = 6 + b. What is the remainder when 7 is divided by c?
3
Let s be 30/(-4)*12/(-18). Let m = s + -1. Calculate the remainder when (-6)/m + 15/2 is divided by 4.
2
Let k(r) = -2*r**2 + 17*r + 3. Calculate the remainder when k(3) is divided by 68/7 - 8/(-28).
6
Suppose s + 41 = 2*s. Calculate the remainder when -1*(-1 - -1 - s) is divided by 21.
20
What is the remainder when 6*5/75 + (-888)/(-5) is divided by 20?
18
Let s(k) = k**3 - 3 - 4 + 0*k**3 - 3*k + 3 - 2*k**2. What is the remainder when s(5) is divided by 19?
18
Let g = -17 - -15. Let v(c) = -6*c + 3. What is the remainder when v(g) is divided by 8?
7
Let l be (0 - -1)/((-6)/(-30)). Suppose -b = -0*b + l. Let n = b - -10. What is the remainder when n is divided by 3?
2
Suppose 0 = -2*j + 4*j. Suppose 2*d + 13 - 37 = j. Calculate the remainder when 22 is divided by d.
10
Let a = 39 + -27. Calculate the remainder when a is divided by (-3 - -2)*-8 + -1.
5
Suppose 0 = 3*l - 27. What is the remainder when 33 is divided by l?
6
Calculate the remainder when ((-3)/(-6))/(1/126) is divided by 35.
28
Let a = -79 + 122. Suppose 5*u = -1 + 76. Calculate the remainder when a is divided by u.
13
Let r(z) = -z**3 + 3*z**2 + 5*z - 5. Let j be r(4). Let u be (2 - 0)/j - 7. Let l = u - -23. What is the remainder when 26 is divided by l?
12
Let l(d) = 81*d**2 - d + 1. Let r be 1/2 - 30/(-12). What is the remainder when l(1) is divided by r/5 - (-408)/20?
18
Suppose 3 - 12 = -f. Calculate the remainder when 31 is divided by f.
4
Let s(w) = w**3 + w**2 + 15*w + 30. What is the remainder when 2/(1 - 87/89) is divided by s(0)?
29
Let s = 12 + -7. Suppose -48 = w - s*w. What is the remainder when w is divided by ((-7)/4)/((-2)/8)?
5
Let o be -1*5*(-39)/65. Let i(h) = 3*h. Let n be i(4). Let s = o + n. What is the remainder when 44 is divided by s?
14
Suppose 2*w + 7 = 3. Calculate the remainder when (-43 + 1)*w/3 is divided by 10.
8
Calculate the remainder when 11 is divided by (-1)/((-27)/(-7) - 4).
4
Suppose -4*i + 3*z = 2*z - 107, 5*z - 53 = -i. What is the remainder when i is divided by (-10)/(-2) + (-125)/(-25)?
8
What is the remainder when 197/3 - (-4)/(-6) is divided by 11?
10
Suppose o - 5 = 2. Let p = -34 - -59. Calculate the remainder when p is divided by o.
4
Let t = -46 + 87. What is the remainder when t is divided by 14?
13
Let f(z) = -5. Let h(x) = -x - 1. Let q(d) = f(d) - 4*h(d). Let n(o) = o + 8. Let t be n(-6). Calculate the remainder when 19 is divided by q(t).
5
Let i(l) be the first derivative of 1/2*l**2 + 15*l - 2. What is the remainder when 43 is divided by i(0)?
13
Let g(y) = -25*y - 5. What is the remainder when g(-4) is divided by 24?
23
Suppose 3*j + 5*u = -j + 100, 0 = -2*j + 4*u + 24. Let s(d) = -72*d - 85. What is the remainder when s(-2) is divided by j?
19
Let b(u) be the third derivative of u**4/12 - 7*u**3/6 - 2*u**2. Let r be b(6). Let t = r + 5. Calculate the remainder when 28 is divided by t.
8
Let z(l) = 5*l - 3. Let d be z(3). Let c = -8 + d. What is the remainder when 0/(-1 + 4) - -9 is divided by c?
1
Suppose 5*n = 260 - 55. Calculate the remainder when n is divided by (-5)/(-15)*(-1 - -64).
20
What is the remainder when (14/(-35))/((-4)/10)*49 is divided by 19?
11
Let q(m) = -2*m. Suppose -l + 6*l + 5 = 5*w, 3*w - 7 = 2*l. What is the remainder when q(-5) is divided by l?
2
Let u = 0 + -5. Let d = u + 23. Suppose -p = 3*o - 1, -5*o + d = 3*p + p. Calculate the remainder when 20 is divided by p.
6
Suppose -u = -16 - 6. Suppose 4*v - 89 = -5*c - 8, 2*c - v - u = 0. What is the remainder when 38 is divided by c?
12
Suppose -5*v + 160 = -2*b, -3*b + 2*b + 85 = 3*v. Calculate the remainder when v is divided by 11.
8
Let v = -4 + 16. Let u = 11 - -12. Calculate the remainder when u is divided by v.
11
Let a(p) = -3*p**2 - 7*p - 8. Let r(h) = -13*h**2 - 27*h - 32. Let i(l) = 9*a(l) - 2*r(l). What is the remainder when 47 is divided by i(-5)?
11
Suppose -5*j - 20 = -j, -2*r + 5 = j. Suppose o = 6*o - r. What is the remainder when 68 is divided by (-168)/(-7) - (0 + o)?
22
Let l(q) = q + 1. Let b be l(5). Suppose b*h - 410 = h. Calculate the remainder when h is divided by 17.
14
Let s(v) be the third derivative of -v**5/60 + 13*v**4/24 - v**3 + 3*v**2. Calculate the remainder when s(10) is divided by 13.
11
Suppose -t + 6*t - 5 = o, -4*t - 80 = -5*o. What is the remainder when 65 is divided by o?
5
Let j = -19 + 20. What is the remainder when 2 is divided by j?
0
Suppose -24 - 36 = -4*s. What is the remainder when 53 is divided by s?
8
Let y(z) = -3*z**3 - 3*z**2 - 3*z. What is the remainder when 35 is divided by y(-2)?
17
Suppose -3*a + 10 = -17. Let b(p) = p**3 - 14*p**2 - 12*p - 28. Calculate the remainder when b(15) is divided by a.
8
Let b(s) = 13*s**3 + 2*s**2 - 2*s + 1. Calculate the remainder when 53 is divided by b(1).
11
Suppose -5*z + 9 = -b, -4*z = 9 - 29. Calculate the remainder when b is divided by (0 - 1)*2 - -8.
4
Suppose 0*d - 5*d + 65 = 0. Let w = 2 - -5. Suppose -3*s + w*s = 0, -3*h + 75 = 3*s. Calculate the remainder when h is divided by d.
12
Suppose -4*o = -2*o - 68. Let p(k) = k**3 + 7*k**2 - 9*k + 4. Calculate the remainder when o is divided by p(-8).
10
Let g(w) = 5*w - 22. What is the remainder when 20 is divided by g(6)?
4
What is the remainder when (-2)/(-8) + (-306)/(-24) is divided by 7?
6
Let b(c) = -6*c + 1. Let u(n) = -n**3 - 9*n**2 + n + 11. Let a be u(-9). Let z = a - -5. What is the remainder when b(-2) is divided by z?
6
Let s = 1 - -2. Suppose s*i = 7*i - 32. Let p(k) = k**3 + 6*k**2 - 2*k - 9. Calculate the remainder when i is divided by p(-6).
2
Suppose 2*l - i - 132 = 0, 5*i - 4 + 24 = 0. What is the remainder when l is divided by (-1)/2*-2 + 21?
20
Calculate the remainder when 47 is divided by 0/3 + 2 + 23.
22
Suppose -12 = -5*l + 4*j - 4, 3*j = 4*l - 7. Let s = 16 - 13. What is the remainder when l is divided by s?
1
Calculate the remainder when 184 is divided by 224/6 + 1*(-2)/6.
36
Suppose -a + 6*a = 0. Suppose a = -3*z + 4*x + 28, 5 = -3*x + 4*x. What is the remainder when 61 is divided by z?
13
Calculate the remainder when (18/81*6)/((-1)/(-57)) is divided by 33.
10
Suppose 2*w - 36 = -2*w. Suppose -i + 1 + w = 0. Suppose q = i + 3. Calculate the remainder when q is divided by 5.
3
Let b be (0/(-1))/(3 + -4). Let w = b - -3. Suppose w*r - 10 = 2*i, 6*r - 36 = 2*r - 3*i. What is the remainder when 10 is divided by r?
4
Suppose -4*v + v = -15. Suppose 0*s = v*s - 25. Let u = -47 + 50. What is the remainder when s is divided by u?
2
Let d be 5/3 - (-3)/9. Suppose -4*z + d*y + 74 = 0, -3*y + 49 = -0*z + 2*z. What is the remainder when z is divided by 2 - 1*-4 - -1?
6
Let x