r + 2*r = 4. Suppose -r*m + 80 = m. What is the remainder when m is divided by p?
7
Let a(j) = -11*j - 12. Calculate the remainder when a(-5) is divided by 23.
20
Let t(b) = -b**2 + 10*b + 15. Let p be t(11). Calculate the remainder when (-229)/(-3) - p/(-6) is divided by 20.
17
Let j be (4/(-1))/(1 + -3). Suppose -j*v + 16 + 42 = 0. What is the remainder when 56 is divided by v?
27
Let a(h) = h**2 + 5*h + 6. Let o be a(-4). Suppose 0 = -o*y - 0*y + 6. What is the remainder when 7 is divided by y?
1
Suppose 2*h = 2*m - 8 - 4, m + 2*h = 0. What is the remainder when 2 + 46*2/m is divided by 14?
11
Let c(j) = -j. Let s be c(-2). Let n(k) = -10*k**s + 2*k**3 + 12 + 4*k**2 - 7*k - k**3 - 2*k. What is the remainder when n(8) is divided by 23?
22
Calculate the remainder when 55 is divided by ((-26)/39)/(2/(-24)).
7
Suppose -f + 25 = 4*f. Suppose 0 = f*r - 25, -2*r + 3 = -0*j - j. What is the remainder when 12 is divided by j?
5
Let u = 4 + -9. Calculate the remainder when (-2)/u + 519/15 is divided by 9.
8
Let r = 6 - 8. Let z = 14 + -1. What is the remainder when z is divided by (-11 + 1)/(1*r)?
3
What is the remainder when 56 is divided by (0 + 30)/(-1 - -3)?
11
Suppose 2*n - 4 - 2 = 0. Suppose n*q - 3*i = 2*i + 40, 2*q + 4*i + 10 = 0. Calculate the remainder when (116/q)/((-2)/(-5)) is divided by 15.
13
Let z(p) = -p**3 + p**2 - 1. Let s(r) = 5*r**3 + 4*r**2 - 4*r + 9. Let u(o) = -s(o) - 4*z(o). Let f = 7 + 7. Calculate the remainder when u(-9) is divided by f.
12
Suppose -5*j = 3*w - 49, -j - 3 = -2*w - 18. Calculate the remainder when 21 is divided by (-4)/(-1) + -3 + j.
9
Suppose -5*x - 4 = -34. Suppose 0 = -w - w + x. Suppose -3*a + 10 = q - 0*a, w*q = 3*a + 18. Calculate the remainder when 12 is divided by q.
5
Let h(t) = t - 1. Let p be h(-3). Let k(m) = m**2 - 2. Calculate the remainder when 26 is divided by k(p).
12
Calculate the remainder when 66 is divided by (-141)/(-4) + 14/(-56).
31
Suppose 3 = 3*f - 90. What is the remainder when f is divided by 11?
9
Let i(l) be the second derivative of -7*l**5/20 + l**4/6 + l**3/3 + l**2/2 + 2*l. Suppose -2*t = -t + 1. What is the remainder when 30 is divided by i(t)?
6
Let k(v) = v**2 + 3*v - 1. Calculate the remainder when 28 is divided by k(-6).
11
Let g = -5 + 11. Suppose 2*r - 36 = g*r. Let s = 15 + r. Calculate the remainder when 10 is divided by s.
4
Let d be (-66)/(-14) - 18/(-63). Suppose -d*w + 48 = -2*w. What is the remainder when 61 is divided by w?
13
Let u = 33 + -26. Let n = -7 - -13. What is the remainder when u is divided by 2/n + (-11)/(-3)?
3
Suppose -15 + 66 = 4*y + p, -2*y - 2*p = -30. Calculate the remainder when 0/2 + 4 + (-1980)/(-66) is divided by y.
10
Let v = 177 + -170. Calculate the remainder when 22 is divided by v.
1
Let m(s) = 11*s**2 - 2*s. Calculate the remainder when m(-3) is divided by 27.
24
Suppose 2 = -5*c + 17. Let d(n) = n**2 + 4*n. Suppose -2*i + 0*i = -12. Calculate the remainder when d(c) is divided by i.
3
Let c(o) = -7*o - 9. Let j be c(-6). Let u = j + -2. What is the remainder when u is divided by ((-2)/5)/((-2)/80)?
15
Let g = 63 - 4. What is the remainder when g is divided by 10?
9
Let c be (-1 + 2)*(2 - 4). Calculate the remainder when 44 is divided by 6/4*(4 - c).
8
Suppose -36 = -l - l. Let o(s) = -9*s - 12. Calculate the remainder when o(-9) is divided by l.
15
Let h = -2 - -5. Suppose 3*b - 215 = -2*i - 3*i, h*b = 2*i - 65. Calculate the remainder when i is divided by 14.
12
Let k(m) = 3*m**2 + 4*m**3 - 5*m**2 - 2*m**3. Let x be k(2). Calculate the remainder when 1/(-4) - (-370)/x is divided by 16.
14
Suppose 3*p + p - 20 = 0. What is the remainder when p is divided by 3?
2
Let g = -42 - -79. Suppose 0 = -4*f - n + 50, -3*f + 3*n = -7*f + 46. Calculate the remainder when g is divided by f.
11
Suppose 0 = -4*m + 5*m + 24. Let a = -14 - m. Let q = 0 + a. What is the remainder when 28 is divided by q?
8
Suppose 104 = -u + 3*u - 2*o, -8 = 4*o. Let j(w) = -2*w**3 - 5*w**2 - 5*w - 7. What is the remainder when u is divided by j(-3)?
16
Let h = 3 - 1. Suppose -20 = -3*q + h*q. What is the remainder when (116/12)/(2/12) is divided by q?
18
Let k = -1 + 1. Suppose -3*j - 3 + 39 = k. What is the remainder when (38 - 4) + 1 + -1 is divided by j?
10
Calculate the remainder when 713/9 + 28/(-126) is divided by 16.
15
Let y = 9 + -11. Let l(n) = -2*n**3 - 4*n**2 - 4*n - 2. Let f be l(-2). Calculate the remainder when 23 is divided by 76/f + y/3.
11
Let i = 51 + -12. What is the remainder when i is divided by 3 + -4 + 18 - -3?
19
Let a = -16 + 25. What is the remainder when 19 is divided by a?
1
Let a = 15 + -2. Suppose 84 + 11 = 5*o. Let p = o - a. Calculate the remainder when 11 is divided by p.
5
Let k = 26 + -3. What is the remainder when k is divided by 16?
7
Suppose -4*v = 26 - 186. Let n = v - 28. Calculate the remainder when 22 is divided by n.
10
Suppose 2*s + 10 = 0, 5*k - s - 52 = -12. Let w = -2 - -1. Calculate the remainder when (-1)/((-3)/w)*-57 is divided by k.
5
Let h(w) = w + 7. Let r be h(-11). Let l(f) = -2*f + 7. Calculate the remainder when 43 is divided by l(r).
13
Suppose -2*q - 84 = -4*l, -4*l = -l + 4*q - 63. What is the remainder when l is divided by ((-44)/(-8) + 0)*2 + 1?
9
Suppose 3*d = 11 + 22. What is the remainder when 41 is divided by d?
8
Let l be (2 - 1) + 3 + 1. Suppose -l*n = -n - 88. Suppose -4*h - 2*b + n = 0, -4*b + 8*b = -4. What is the remainder when h is divided by 4?
2
Let r(x) = 2*x + 21. Calculate the remainder when 3 is divided by r(-10).
0
Suppose p + 3*p + 68 = 4*m, 2*m - p = 32. Suppose 0 = 4*g + d - 37, -g - d + m = 2. What is the remainder when 13 is divided by g?
5
Let w(p) = -8*p. Suppose -4*o + 2*r = -5*o - 5, -35 = -2*o + 5*r. Calculate the remainder when w(-1) is divided by o.
3
Suppose -5*z + 55 = 5*c, -4*z = -6 + 18. Calculate the remainder when 65 is divided by c.
9
Let k = -52 - -80. What is the remainder when 53 is divided by k?
25
Let o = 29 - 23. What is the remainder when 14 is divided by o?
2
Let j(b) = b**2 - 7*b + 2. Let f be j(6). Let m = -2 - f. Suppose -3*g = -m*g - 2. What is the remainder when g is divided by 1?
0
Suppose 4*o - 3*i = 23 + 5, i = 5*o - 35. Let n = 29 + -9. What is the remainder when n is divided by o?
6
Suppose -27 = -3*c - 3. Suppose 2*j - 42 = -3*s, -2*j - 4*s + 42 = s. Calculate the remainder when c is divided by ((-35)/j)/((-1)/3).
3
Suppose 5*d - 69 + 9 = 0. Let t = d + -4. What is the remainder when 14 is divided by t?
6
Suppose -240 = -5*g - 40. Calculate the remainder when g is divided by (-2 - 16/(-12))*126/(-12).
5
Let g(t) = t**2 - 7*t - 1. Let r be g(7). Let l = r + 1. Suppose 3*a - 9 + l = 0. What is the remainder when 5 is divided by a?
2
Suppose 4*k - 7*k + 144 = 0. Let b(n) = 26*n**3 - 2*n**2 + 1. Calculate the remainder when k is divided by b(1).
23
Suppose 2*p = -2*p + 12. Let k(q) = q**3 - 8*q**2 + 2. What is the remainder when p is divided by k(8)?
1
Let c = 77 + -69. Calculate the remainder when c is divided by 3.
2
Let j(n) = n**2 - 2*n + 5. Let o(p) = -p**2 + 8*p - 8. Let w be o(6). Calculate the remainder when 28 + (-9)/6*2 is divided by j(w).
12
Let h = 6 - -6. Suppose 2*b - 8 = 0, 3*o - 7 - h = -4*b. Suppose 2*c = 5*f - f - 16, -5*f + 3*c = -21. What is the remainder when f is divided by o?
0
Suppose 3*y - 6 - 3 = 0. Let w = 3 + y. Let r = 8 - w. What is the remainder when r is divided by 2?
0
Let r(k) be the second derivative of -1/2*k**3 + 1/12*k**4 + 0 + 5/2*k**2 + k. Calculate the remainder when 26 is divided by r(4).
8
What is the remainder when 237/5 + 26/(-65) is divided by 26?
21
Suppose 3 = 3*w, w + 4*w = -5*b. Calculate the remainder when (-3)/3 - 43/b is divided by 11.
9
Let w(k) = 5*k - 7. Let a(d) = -2*d**3 - 13*d**2 + 2*d - 23. Calculate the remainder when w(8) is divided by a(-7).
9
Suppose -36 = -4*x + 44. Let u = x - 12. Calculate the remainder when 21 is divided by u.
5
Calculate the remainder when 277 is divided by (21/(-2))/(90/(-480)).
53
Let w(r) = -r**2 - 4*r - 1. Let s be w(-3). Let t(a) = a**3 + 3*a**2 - 2*a - 1. Suppose -y = 2*y - 84. What is the remainder when y is divided by t(s)?
13
Let h(x) = 2*x**2 - 15*x - 5. Calculate the remainder when h(10) is divided by 12.
9
Calculate the remainder when 14 is divided by 