by 21.
19
Suppose -8*v = -17*v + 1017. What is the remainder when v is divided by 17?
11
Let a = 4 + -1. Suppose 3 = a*r - 3*c, 0 = 3*r + r + 2*c - 10. Suppose 0*v - 8 = -r*v. Calculate the remainder when 10 is divided by v.
2
Let j(h) be the third derivative of h**6/120 + 7*h**5/60 + h**4/8 + h**3/6 - h**2. What is the remainder when j(-5) is divided by (((-456)/15)/(-4))/(2/5)?
17
Let i = 2 - -7. Suppose -i - 17 = -2*q. Suppose 17 = x - 3*n, 2*n + 0*n = -8. Calculate the remainder when q is divided by x.
3
Let w = 3 + 2. Suppose -m + w - 1 = 0. Calculate the remainder when 8 is divided by m.
0
Suppose -4*a = a - 35. Calculate the remainder when 25 is divided by a.
4
Let o(a) = a**2 + 2*a - 2. Suppose -3*v - 2*u = 26, 2*v - 4*u = -2 + 6. Let t(c) = c + 13. What is the remainder when o(v) is divided by t(-7)?
4
Let h(p) = 2*p**3 + 2*p**2 - 2*p - 2. Let u be h(-2). Calculate the remainder when ((-4)/(-3))/(2/6) is divided by -6*(2 - -1)/u.
1
Let y(t) = t**2 + 2*t + 13. What is the remainder when y(-7) is divided by 13?
9
Let u(h) = -4 + 5*h - 1 + 1 - 4*h. Calculate the remainder when u(8) is divided by (-2)/3 + (-8)/(-3).
0
Suppose -4*j = -p - 61, 2*p = -5*j + 6*p + 90. What is the remainder when 46 is divided by j?
4
Let a(n) = -3*n**3 - 4*n - 3. Let g = 9 - 1. What is the remainder when a(-2) is divided by g?
5
Let m(p) = -p**3 - 2*p**2 + 3*p + 1. Let x be m(-3). Suppose -k + 26 = -x. What is the remainder when k is divided by 14?
13
Suppose 4*f = -2*k + 10, -4*f + 3*f - 4*k + 20 = 0. Let q = 4 + f. Let j = q - -1. What is the remainder when 9 is divided by j?
4
Suppose z + 0 + 4 = -2*l, -5*l = -5*z + 10. Let t be (51 + z)*(-20)/(-15). Calculate the remainder when 22 is divided by t/6 + (-2)/(-3).
10
Suppose 0 = 2*f + 5*a - 64 + 13, -f = 4*a - 27. Suppose 22 = 2*d + 6*j - 8*j, 2*d = 3*j + 20. What is the remainder when f is divided by d?
10
What is the remainder when 17 is divided by (-1)/((-4)/56*2)?
3
Suppose -3*r - 4*p = -173, 5*r + 2*p - 31 = 248. What is the remainder when 163 is divided by r?
53
Suppose 4*j + 20 - 4 = 0. Let i = j + 8. Let b = 1 + i. What is the remainder when b is divided by 2?
1
Let d(w) = -5*w**3 - w**2 - w. Let k be (2/(-6))/((-10)/(-30)). Suppose 3*u = n + 11, 4*u = -2*n + 11 + 7. Calculate the remainder when d(k) is divided by u.
1
Let s = -106 + 159. Suppose -m = z - s, m + 45 = z - 0*m. Suppose -4*w - q + 73 = -0*w, -5*w + 75 = -2*q. What is the remainder when z is divided by w?
15
Suppose -2*a + 4*a - 35 = -5*x, -5*x - 25 = -2*a. Calculate the remainder when 111/4 + (-1)/(-4) is divided by a.
13
Suppose w + k + 16 = 0, 21 = -3*w + 2*k - 12. Let l = -5 - w. Suppose -4*u + 6 = -86. What is the remainder when u is divided by l?
7
Suppose 5*y - 80 = 3*y. What is the remainder when 117 is divided by y?
37
What is the remainder when 31 is divided by (((-21)/(-6))/7)/(3/66)?
9
Suppose 3 = 3*i, i - 19 - 52 = 5*a. Let s = 15 + a. Calculate the remainder when s is divided by 1.
0
Suppose 0 = 4*h - 48 - 12. What is the remainder when 42 is divided by h?
12
Let d(o) = -o**3 - 2*o**2 + 6*o - 2. What is the remainder when d(-5) is divided by 23?
20
Let f(o) = o**2 - 10*o - 35. What is the remainder when f(18) is divided by 28?
25
Suppose -4*o = 2*c - 60, 5*o = -4*c + 18 + 51. Calculate the remainder when o is divided by 5.
2
Let r be (-480)/(-9) + (-2)/(-3). Let p = 100 - r. Calculate the remainder when p is divided by 12.
10
Let w(k) = -3*k - 3. Let t be (-2)/(-4)*(3 - 1). Calculate the remainder when ((-1)/(-2))/(t/46) is divided by w(-5).
11
Suppose -3*p = 2*b + 101 - 245, -2*p + 96 = 3*b. Let i = 80 - p. What is the remainder when i is divided by 11?
10
Let b = -59 + 87. Suppose 1 = -c - 3*j - 0*j, 4*j = 4*c - b. Calculate the remainder when c is divided by 3.
2
Let b = 175 + -157. What is the remainder when 50 is divided by b?
14
What is the remainder when -1 - (4 - (27 - 4)) is divided by 5?
3
Let u = 24 + -15. Suppose -11*b = -20*b + 297. What is the remainder when b is divided by u?
6
Suppose -f = 2*f - 96. Calculate the remainder when f is divided by 9.
5
Suppose 0 = -2*y - 4 + 8. Let w = 5 + y. Let h(g) = g + 12. Calculate the remainder when h(0) is divided by w.
5
Let y = 41 - 22. Suppose 0*c + 4*c - 5*p - 53 = 0, -c = -2*p - 17. What is the remainder when y is divided by c?
5
Let g = -17 + 29. Calculate the remainder when ((-4)/(-3))/(2/33) is divided by g.
10
Suppose 5*a = -62 - 28. Let l = a - -30. Let x(b) = 8*b**2 + 2. What is the remainder when x(2) is divided by l?
10
Suppose -1 = 3*w + 2*q, -w - 5 = -2*q - 18. Calculate the remainder when 3 is divided by w.
0
What is the remainder when 38 is divided by (4 - 3)*12 + 3/3?
12
Let v be (-3 - 2) + (-3)/(-3). Calculate the remainder when 26 is divided by 9/(-2)*(2 + v).
8
Suppose 2*x - 23 = -3*t + 29, 5*t - 4*x = 72. Calculate the remainder when t is divided by 10.
6
Calculate the remainder when 2*((-145)/(-10))/1 is divided by 10.
9
Suppose -3*j - j = 2*i - 52, -3*i + 50 = 4*j. Let y(k) = -3*k + 2*k + 4*k + k. What is the remainder when j is divided by y(2)?
6
Let o be (-1)/(((-6)/(-2))/15). Let b = o + 10. Suppose -b*f + 3 = -f - 5*h, -4*f = 5*h - 13. Calculate the remainder when 2 is divided by f.
0
Let o(u) = u**3 + 6*u**2 + u + 6. Let a be o(-6). Let h be (5 + a + -1)*7. Suppose -7 = -t + h. Calculate the remainder when t is divided by 12.
11
Suppose -4*t + 36 = -0*t - 5*h, 0 = 4*t + 5*h + 4. What is the remainder when 9 is divided by t?
1
Suppose 0 = -2*i - i - 87. Let y = i + 49. Suppose 0*w = -5*w + y. Calculate the remainder when w is divided by 2.
0
Let d(u) be the second derivative of u**4/4 + u**3/2 - u**2/2 + u. Let c(n) = n**3 + 6*n**2 + 6*n + 1. What is the remainder when d(-3) is divided by c(-4)?
8
Suppose -6 + 1 = -m. Let w = m + -4. Let c(k) = 41*k**3 + k**2 - k. What is the remainder when c(w) is divided by 14?
13
Let h(t) = -t**2 - 16*t + 25. Suppose -l + 2*l - 22 = 0. What is the remainder when h(-15) is divided by l?
18
Let b = 6 + 6. Let z be 66/15 - 4/10. Suppose 5*r - 5*u = 20, -3*r = -z*u - u - 6. What is the remainder when b is divided by r?
5
Let r be 3804/84 - (-2)/(-7). Let c = -30 + r. Calculate the remainder when 74 is divided by c.
14
Suppose 3*c + 3*b - 156 = 0, -2*c = -2*b + b - 104. What is the remainder when c is divided by 11?
8
Suppose -2*c + 3*t = -11, -5*c + 4*t = 21 - 59. Calculate the remainder when 15 is divided by c.
5
Let a(x) = 2*x**2 - 10*x + 6. Let m(q) = -5*q + 1. Let o be m(-1). Let k = -24 + 34. What is the remainder when a(o) is divided by k?
8
Suppose -j - q - 1 = 0, 0*j + 5*q + 6 = -4*j. Let v = 3 - j. Suppose 0*d - 16 = -4*d. Calculate the remainder when d is divided by v.
0
Let g(f) be the second derivative of 13*f**3/6 - f**2 + f. Let y be g(2). Suppose 3*d - 21 - y = 0. What is the remainder when 57 is divided by d?
12
Let s(i) = -i**2 + 6*i - 1. Let f be s(7). Let p = f + 21. Let d = 34 + 4. Calculate the remainder when d is divided by p.
12
Suppose 2*j - 4 = 2. Suppose 1 = -o + j. Suppose -o*y + 124 = 14. What is the remainder when y is divided by 19?
17
Let v(r) = -3*r - 23 + 26 - r. What is the remainder when v(-5) is divided by 8?
7
Suppose -4*c + 3*j = -320, 2*j - 22 - 47 = -c. What is the remainder when c is divided by 26?
25
Let q(j) = j**2 - 7*j - 2. Let d = 2 - 0. Suppose d*u - 17 = -v, -4*v - 40 = -3*u - u. What is the remainder when 29 is divided by q(u)?
13
Let a(q) = q**3 - 12*q**2 + 14*q - 18. Suppose 3*s = 4*n - 2*s - 26, 0 = 3*n - 4*s - 20. Calculate the remainder when a(11) is divided by n.
3
Suppose -q - 3*h = -12, -2*h = 2*q - 8 - 4. Suppose -a = -q*a - 66. Let i = 64 + a. What is the remainder when i is divided by 11?
9
Let a = -26 - -36. Let b = -1 + 8. Suppose -9 = -4*c + b. Calculate the remainder when a is divided by c.
2
Let d = 116 + -77. Calculate the remainder when 115 is divided by d.
37
Suppose -2 = -4*j + 258. Suppose 6*y - j = y. What is the remainder when 24 is divided by y?
11
Suppose -t + 6*t + r = 65, -t + 34 = -4*r. What is the remainder when t is divided by 8?
6
Suppose -4*j - j = -2*c + 48, j = -4*c + 52. What is the remainder when 26 is divided by c?
12
Suppose -41 + 11 = -5*d. What is the remainder when 28 is divided by d?
4
Let w be 9*(20/6 - 4). What is t