remainder when i is divided by 13.
10
Let l(q) = q**2 + 8*q - 11. Calculate the remainder when l(-11) is divided by 6.
4
Suppose -2*p + 5 = 2*h - 3*p, 3*p = 4*h - 9. Suppose -r - 33 = -6*r + h*c, 0 = -r - 5*c + 29. What is the remainder when 17 is divided by r?
8
Suppose -29*a = -27*a - 12. What is the remainder when 13 is divided by a?
1
Suppose 5*f - 10 = -3*z + 5, 2*z = 2*f + 10. What is the remainder when 7 is divided by z?
2
Let g(s) = 9 - s + 0*s - s**2 - 3*s + 5*s. Let u be g(7). Let l = -14 - u. Calculate the remainder when l is divided by 10.
9
Let i(f) = -f**3 - 3*f**2 - 4*f - 3. What is the remainder when i(-4) is divided by 8?
5
Let p = -44 + 77. What is the remainder when p is divided by 9?
6
Suppose 2*j + 5 = 35. Calculate the remainder when j is divided by 8.
7
Suppose 6 = 3*h - 2*h. Calculate the remainder when (-42)/(-4) - 1/(-2) is divided by h.
5
Let f = -10 - -3. Let v(z) = -11*z - 6. What is the remainder when v(f) is divided by 24?
23
Suppose -2*h + 1 = -17. Let k(n) = -n + 13. Let c be k(9). Suppose 6*y - 51 = -3*f + 2*y, -68 = -c*f - y. Calculate the remainder when f is divided by h.
8
Let f(i) = -12*i - 6. What is the remainder when f(-5) is divided by 28?
26
Suppose -4 = 6*n - 2*n. Calculate the remainder when 39 is divided by 18/12*(n + 15).
18
Let w be 98/5 + 6/15. Suppose 2*a - w = -3*a. Suppose 31 = 5*h - a. Calculate the remainder when h is divided by 2.
1
Let x(h) = h**3 + 7*h**2 - 10*h - 11. Suppose -2*w + 11 + 14 = 5*s, 11 = 3*s + 2*w. What is the remainder when s is divided by x(-8)?
2
Suppose -4*t + 19 + 17 = 0. Suppose 5*p = -5*j - 0 - 10, -2*j = 3*p + 2. Suppose -p*q + 51 = q. What is the remainder when q is divided by t?
8
Let v = 2 + 2. Suppose 0 = -g + 2*r - 5, -g - v*r - r = -23. Calculate the remainder when 4 is divided by g.
1
Let b = 1 + -1. Suppose b*m + 7 = -m. Let i(u) = -u**3 - 7*u**2 + u + 10. Calculate the remainder when 8 is divided by i(m).
2
Let x(m) = -11*m**3 - 12*m**2 + 15*m - 3. Let v(p) = -4*p**3 - 4*p**2 + 5*p - 1. Let s(h) = 8*v(h) - 3*x(h). What is the remainder when 2 is divided by s(-5)?
0
Let v be 3/((-9)/12) + -1. Calculate the remainder when 22/v*(-70)/28 is divided by 7.
4
Let x = -20 + 60. Suppose 5*z - 9 = -4*j, 3*z - x = -z + 5*j. Let p = z + -4. What is the remainder when 2 is divided by p?
0
Let t(c) = 51*c**3 + 2*c**2 + c - 2. What is the remainder when 99 is divided by t(1)?
47
Let p = 8 - 6. Suppose p*t - 38 + 0 = 0. Suppose t = -4*c + 83. Calculate the remainder when 30 is divided by c.
14
Let w = -22 - -13. Suppose -d + 92 = 4*x, 3*x - 3*d - 69 = -7*d. Let q = w + x. What is the remainder when 41 is divided by q?
13
Suppose 3*k - 117 = -4*l, -l = -4*l. Suppose 0 = -3*q - 0*q + 60. What is the remainder when k is divided by q?
19
Suppose -5*l = 2*w + 2, 5*l - 3*l + 5 = -5*w. Suppose -5*b + 90 = -5*u, 26 = b - l*u + 3*u. Calculate the remainder when b is divided by 11.
9
Suppose 34 = 2*s - 0*k + 4*k, 0 = k - 2. Suppose 0 = -5*l - 71 + 111. What is the remainder when s is divided by l?
5
Suppose 5*z - 10 = -b, -2*b + 49 = -5*z + 14. What is the remainder when 53 is divided by b?
8
Let d = 13 + -26. Let h = 1 + d. Calculate the remainder when 6 is divided by h*(-2 - 10/(-6)).
2
Suppose -4*k - 3*z = -17, 2*k - 4 = -5*z + 15. Suppose -l - 19 = -k*l. Calculate the remainder when 74 is divided by l.
17
Let z(j) = 3*j - 5. What is the remainder when 4 is divided by z(2)?
0
Let u = -4 - -6. Suppose 5*y - 35 = f, -5*f = -y - u*y + 21. Calculate the remainder when 19 is divided by y.
5
Let b be (-13)/(-4) + 3/(-12). Suppose -2*j + 13 = -3*s, -5*j - 1 + 17 = -2*s. Calculate the remainder when s*(b/9 - 1) is divided by 1.
0
Let q(a) = -a**2 - 7*a - 4. Let r be q(-4). Suppose -r = -5*s + 4*s. Let j = s - 5. Calculate the remainder when 7 is divided by j.
1
Suppose r - 50 = -2*r + 2*q, -q = -3*r + 55. Suppose 0 = -2*i + r - 4. What is the remainder when 23 is divided by i?
7
Suppose -v = -3*v + 46. Calculate the remainder when 205/3 - 1/3 is divided by v.
22
Suppose 0*x + x - 4 = 0. Suppose -18 = -3*h + 99. Suppose 0 = 2*q + x*m - 48, -4*q + 6*q - 5*m = h. What is the remainder when 64 is divided by q?
20
Let p be -6*(0 - (-1)/(-2)). Let a(i) = -p - 2*i - 3*i + 4. What is the remainder when a(-7) is divided by 19?
17
Suppose -5*r + r + 140 = 0. Let y(h) = -4*h**2 + 1 + 6*h**2 + 9*h**2. What is the remainder when r is divided by y(1)?
11
Suppose 5*q = 5*s + 25, 3*q - s + 8 - 25 = 0. What is the remainder when 357/q + (-3)/6 is divided by 20?
19
Let l = 5 - 5. Suppose -p - 20 = 3*o - 4*o, -2*o + p + 39 = l. What is the remainder when o is divided by (6/4)/(6/40)?
9
Let w(s) = s + 1. Let d be w(-1). Calculate the remainder when 3*(84/9 + d) is divided by 10.
8
Let g be (40/(-12))/((-2)/(-12)). Let y = g + 31. Suppose 5*q - x = -4*x + 106, 5*q + 5*x = 110. What is the remainder when q is divided by y?
9
Let c = 2 - 0. Suppose c*k = k + 22. What is the remainder when 43 is divided by k?
21
Suppose 2*f + 5*h + 44 = -50, f + 32 = 5*h. Let l = -23 - f. What is the remainder when 93 is divided by l?
17
Let m(c) be the third derivative of c**5/60 + 11*c**4/24 + 4*c**3/3 - 4*c**2. Suppose 0*h = -h + 22. What is the remainder when h is divided by m(-11)?
6
Suppose 3*o + o - 304 = 0. Let l = o + -48. Calculate the remainder when l is divided by 10.
8
Let p(x) = x + 6. Let q be p(3). Let m = 16 - q. Calculate the remainder when 25 is divided by m.
4
Let c = 5 - 4. What is the remainder when c/((4/13)/4) is divided by 7?
6
Let l(t) = t**3 + 8*t**2 + t + 11. Let s be l(-8). Let c(r) = r**2 - r + 1. Let k be c(s). Let v = k - -25. Calculate the remainder when v is divided by 11.
10
Let p(t) = t**2 - 5*t + 8. What is the remainder when 24 - (1 + 2 + -2) is divided by p(5)?
7
Suppose -10 = 2*i - 0*i, -2*s - 2*i = -366. Suppose 4*h - s = -0*h. Suppose -3*d - h + 179 = 0. Calculate the remainder when d is divided by 15.
14
Let t be 0 + 3 + 0 - 0. Suppose -y + 44 = t*y. What is the remainder when (-324)/(-10) - (-2)/(-5) is divided by y?
10
Suppose 4*f + 20 = 3*a, 4*a - 3*f = 49 - 13. Calculate the remainder when 143 is divided by a.
11
Suppose -20 = -2*a - 2*a. Let g be -1 + (-1)/1*-3. Suppose -26 = -2*y + g. Calculate the remainder when y is divided by a.
4
Let i(c) = 6*c + 4. Let b = 13 + -10. What is the remainder when i(b) is divided by 8?
6
Let s(x) = -x. Let n be s(0). Suppose n*y + y = 7. Calculate the remainder when 26 is divided by y.
5
Suppose -3*x + 6*x - 66 = 0. Suppose p + p = x. Calculate the remainder when 42 is divided by p.
9
Let c(y) = 6*y**2 + 21*y - 2 + y**3 - 19*y + 1. Calculate the remainder when c(-5) is divided by 4.
2
Let s = -101 + 143. Calculate the remainder when s is divided by 11.
9
Suppose -7*o + 249 = 4. Calculate the remainder when 174 is divided by o.
34
Suppose -3*x = -a + 8, -a - 3*x = 2*x - 24. Let k = 1 - 1. Suppose -2*r + 4*l + 25 = -59, k = -r - 4*l + 36. What is the remainder when r is divided by a?
12
Suppose j - 4 = 1. Suppose j*f = 31 + 29. Calculate the remainder when 47 is divided by f.
11
Let u be (1 - 1)*1 - 17. Let o = -40 - -9. Let w = u - o. What is the remainder when 41 is divided by w?
13
Let q(o) = -16*o**2. Let j(c) = -3*c**2. Let r(g) = -11*j(g) + 2*q(g). What is the remainder when 17 is divided by r(-3)?
8
Suppose 8*i - 3*i + 10 = 0. What is the remainder when 19 is divided by 1 + ((-36)/i)/2?
9
Let f = 101 - 42. Calculate the remainder when f is divided by (15/(-2))/(2/(-4)).
14
Suppose 489 = 5*j + s, -5*j - s + 5*s + 494 = 0. Calculate the remainder when j is divided by 25.
23
What is the remainder when 25 is divided by -2 + (-78)/(-15) + 2/(-10)?
1
Let v = 17 - -68. What is the remainder when v is divided by 22?
19
Let k be 1/(-2) - (-31)/2. Suppose -34 + k = -b. Let x = 7 + 0. What is the remainder when b is divided by x?
5
Let g be 1 + 2 + (-4 - -7). Suppose 2*m - 52 = -4*c, 4*m - g - 10 = 0. Calculate the remainder when c is divided by 3.
2
What is the remainder when 34 is divided by ((-3 - -4) + -2)*-12?
10
Let j(x) = x**2 + x - 4. Let k be j(-4). Suppose 60 = 12*u - k*u. Calculate the remainder when 42 is divided by u.
12
Calculate the remainder when (-1778)/21*6/(-4) is divided by 32.
31
Suppose 3 = 3*w, -5*s + 7*s + 5*w - 109 = 0. C