.
17
Let g be 1/2 - (-301)/(-14). Let a = g - -40. Let f = -14 + 21. Calculate the remainder when a is divided by f.
5
Let i(s) = -s**3 + 2*s**2 + 3*s + 1. What is the remainder when 53 is divided by i(-2)?
9
Let h = -4 + 4. Suppose 7*x - 4*x - 30 = h. What is the remainder when 29 is divided by x?
9
Let j(z) = -z**3 - z**2 - z + 2. Let p be j(0). Suppose -2*k - p = -0*k. What is the remainder when 20 is divided by 13 - (k - -5 - 2)?
9
Let v = 139 - 88. What is the remainder when v is divided by 9?
6
Suppose -o + 3 = -5*p, -o + 2*p + 3 = -2*p. Suppose 0 = 4*g + f - 34, 0 = 4*g - o*f - 25 - 1. Let d = -1 + g. Calculate the remainder when 20 is divided by d.
6
Suppose 0 = 2*s + 3*s + 10. Let w = s + 6. What is the remainder when 5 is divided by w?
1
Suppose -5*v + 34 = -36. What is the remainder when 0/(-1 + 4) - -25 is divided by v?
11
Let z(v) = v**3 + 10*v**2 - 3*v + 10. What is the remainder when z(-10) is divided by 14?
12
Let s be 2 + -4 - (-4)/(-2). Let r = -10 + 26. What is the remainder when r is divided by (-140)/(-25) - s/10?
4
Let i = 6 - 8. Let g be (i/(-3))/(2/3). Let k = g - -3. What is the remainder when 7 is divided by k?
3
Let w(a) = 4*a - 13. Calculate the remainder when 139 is divided by w(12).
34
Let q be 1*((-4)/(-1) - -1). Let p(i) = 2*i - 5. Let u be p(8). Suppose -u = q*v - 66. Calculate the remainder when 21 is divided by v.
10
Suppose 2*d + 43 = 2*y + 3, 0 = -y - d + 28. What is the remainder when 92 is divided by y?
20
Let o(g) = -1525*g**3 + 2*g**2 - 2*g + 1. Let w be o(1). Calculate the remainder when w/(-14) + 1/7 is divided by 37.
35
Suppose -l = 3*l - 4, -n - 5*l = -12. What is the remainder when 55 is divided by n?
6
Suppose 0 - 20 = 5*a. Let s(c) = -c**2 - 8*c + 1. What is the remainder when s(a) is divided by 10?
7
Suppose 0 = f - 4*p - 3, 3*f - 5*f = -5*p - 9. Suppose 3*b + 168 = f*b. Let u = -8 + 23. What is the remainder when b is divided by u?
12
Let w be (0 - -1) + (-5)/(-5). What is the remainder when 49 is divided by w/11 + (-370)/(-22)?
15
Suppose -4*f + 14 = 5*j, j + 4*f = 5*f + 1. Suppose 3*o = j*o + 4. Suppose o*z - 7*z + 12 = 0. Calculate the remainder when 6 is divided by z.
2
Let h = -51 + 86. Let v(f) = 2*f**2 - 5*f - 3. Calculate the remainder when h is divided by v(4).
8
Let a(g) be the second derivative of -g**5/20 + g**4/6 + 2*g**3/3 + 7*g. What is the remainder when a(3) is divided by 2?
1
Suppose 99 = 5*l - 3*h, 5*l - 4*h - 96 - 6 = 0. Suppose -31 = -g + 4. Calculate the remainder when g is divided by l.
17
Let f(s) = 2*s - 1. Let u be f(4). Suppose -2*m = -u*m - 2*j + 62, 2*m = -5*j + 29. Calculate the remainder when 21 is divided by m.
9
What is the remainder when 2/3 + (-1194)/(-18) is divided by 17?
16
Let u(n) be the second derivative of 5*n**3 - 3*n**2 + 4*n**2 - 2*n - 3*n**2 - 6*n**3. Calculate the remainder when u(-6) is divided by 11.
10
Suppose 0 = -2*k - 4, 8*b = 3*b + 4*k + 173. Let o be (1/2)/(2/(-12)). Calculate the remainder when b is divided by (-2)/o - (-49)/3.
16
Let n be ((-5)/(-4))/((-4)/(-16)). Let s(g) = g**2 - 3*g - 5. Calculate the remainder when 14 is divided by s(n).
4
Suppose 5*a = 10, 6*t - t = 2*a + 21. Suppose 0 = -5*f - t*o + 360, 3*f + o - 291 = -f. What is the remainder when f is divided by 19?
16
Let v(i) = i**2 + i + 5. Let n = 15 - -51. What is the remainder when n is divided by v(-4)?
15
Suppose 2*v - 10 = 3*y, 24 = 2*v - 6*v - 5*y. Let d be (v - -3 - 3)*71. Let l = d - -102. Calculate the remainder when l is divided by 16.
15
Let l(q) = 8*q + 3 - 2 - 3 - 4. Suppose -1 = -s + 8. What is the remainder when l(4) is divided by s?
8
Suppose 0 = 2*l - m - 5, -2*l - 2 = 4*m - 22. What is the remainder when (4/6)/(2/39) is divided by l?
1
Let t be (-2)/(-4 - 0)*0. Suppose 5*v = 5*c - 75, -3*c - 2*v = -t*v - 25. What is the remainder when 21 is divided by c?
10
Suppose 0 = 5*f + 1 + 14, 5*m - 51 = -3*f. Suppose v - 1 - 22 = 0. What is the remainder when v is divided by m?
11
Suppose 0 = -3*c + 12 + 9. Let n = 9 + -8. Let l(f) = 12*f - 1. Calculate the remainder when l(n) is divided by c.
4
Let x(k) = -3*k - 1. What is the remainder when 18 is divided by x(-2)?
3
Suppose 3*x + 0*x - 9 = 0. What is the remainder when 7 is divided by x?
1
Let y(u) be the third derivative of u**5/60 + 5*u**4/12 - u**3 + 3*u**2. What is the remainder when y(-11) is divided by 3?
2
Suppose -5*p - 2*r + 20 + 3 = 0, -5*p = -3*r - 3. Suppose 5*s - 50 = -f - 4*f, -p*f - 36 = -3*s. Let g = 15 + 6. What is the remainder when g is divided by s?
10
Suppose 3*y = -7 + 28. What is the remainder when 24 is divided by y?
3
Let p = 39 - 29. Calculate the remainder when 28 is divided by p.
8
Let p(q) = q - 2. Let w be p(0). Let v(a) = -2*a + 2 - 4*a + a - 3. Calculate the remainder when v(w) is divided by 3.
0
Suppose -6*g = -4*g - 34. Suppose 3*t - 8 = 22. Calculate the remainder when g is divided by t.
7
Let k = 26 + -8. What is the remainder when 33 is divided by k?
15
Suppose 3*p + 3*p = 120. What is the remainder when p is divided by 11?
9
Suppose -2*n + 1025 = 3*n. Suppose -10 = -5*j + n. Let u = -33 + 48. Calculate the remainder when j is divided by u.
13
Suppose 4*a = -8 - 12, -5*a = 5*m - 20. Suppose 6*y = 2*y + 140. Calculate the remainder when y is divided by m.
8
Let f = -112 - -172. Let w = 45 + -14. Calculate the remainder when f is divided by w.
29
Suppose -1 = 2*d - 43. Let s(n) = -7*n**3 + n**2 - 2*n - 2. Calculate the remainder when s(-2) is divided by d.
20
Let s(p) = -18*p - 59. Let k be (-1)/(-4) + (-938)/8. Calculate the remainder when s(-6) is divided by k/3*2/(-6).
10
Let c(j) = 47*j**2 + 0*j - 6*j + 1 + 4*j. Let r be (-3)/(-5) - 4/(-10). What is the remainder when c(r) is divided by 16?
14
Suppose 6*n = n + 530. What is the remainder when n is divided by 27?
25
Suppose -5*m + 5*n + 120 = 0, 3*n + 2*n - 60 = -4*m. Calculate the remainder when m is divided by 11.
9
Let w = 1 + 1. Suppose -2*d = w*d - 252. Suppose -d + 5 = -3*u - 5*v, 2*v - 4 = 0. What is the remainder when 46 is divided by u?
14
Let h(m) = 3*m**2 - 1. Let i be (6/(0 + -2))/(-1). Calculate the remainder when h(i) is divided by 14.
12
Let z = -74 + 108. Calculate the remainder when z is divided by 12.
10
Suppose -4*o = -4*b - 80, -4*o + 3*b = -8*o + 101. What is the remainder when o is divided by 19?
4
Let p(i) = -i**3 - 4*i**2 - i - 2. Let x be p(-4). Suppose -1 = x*c + 23. Let d = c + 28. What is the remainder when d is divided by 6?
4
Suppose 2*s + 9 = 115. Suppose -k - s = -3*k + d, 5*k = -4*d + 139. Calculate the remainder when 52 is divided by k.
25
Let m be 3/(-4) + (-230)/(-40). Suppose -15 = -b + 3*y, -2*b + 28 = -m*y + y. What is the remainder when 34 is divided by b?
10
Suppose 5*a + u = -4*u + 40, 0 = 4*u + 16. Let t = a - 8. What is the remainder when t is divided by 2?
0
Suppose 0 = 2*s + r - 6, -7*s + 2*s + 3*r = -15. Suppose 39 = s*z + 5*w, 2*z - 2*w - 13 = -w. What is the remainder when (z/5)/((-3)/(-15)) is divided by 5?
3
Let u(b) = -7*b - 3. Let d = -12 - -10. Let n = d - 0. What is the remainder when u(n) is divided by 7?
4
Let h = 84 - 47. Suppose 2*w - 3 = h. What is the remainder when 38 is divided by w?
18
Suppose -9*z - 36 = -13*z. Calculate the remainder when 34 is divided by z.
7
Suppose 8*c - 157 = 11. Let t(a) = 5*a**2 - a. What is the remainder when c is divided by t(-1)?
3
Let k(h) = -2*h**2 - 2*h - 4. Let i be k(-3). What is the remainder when (-12)/(-1)*(-12)/i is divided by 5?
4
Let s = 25 - 13. Suppose s*u - 365 = 7*u. Calculate the remainder when u is divided by 19.
16
Let x = 21 + -10. Let g(k) = -k**3 + 5*k**2 - 1. Let f be g(2). Calculate the remainder when (f*-2)/(-1) - 2 is divided by x.
9
What is the remainder when 43 is divided by 2 + -5 - (-26)/1?
20
Let u(g) = -g**2 - 6*g + 4. Let q be u(-6). Suppose 0 = 2*s - q*b - 80, 35 = 2*s + b - 50. Calculate the remainder when s is divided by 15.
12
Let r(t) = 2*t**2 - 2*t - 2. Let o be r(2). Let k be 14*(4/(-8) + 1). Let c = k - o. What is the remainder when 9 is divided by c?
4
Let o(z) be the second derivative of z**4/6 - z**3 + z**2/2 - 2*z. What is the remainder when o(4) is divided by 5?
4
Let n(t) = t**2 - t + 1. Calculate the remainder when n(6) is divided by 17.
14
Suppose 3*n = 10*n - 98. Let z(d) = 12*d + 1. 