alculate the remainder when 21 is divided by m.
10
Suppose -12 = 5*i - 3*g + 12, 2*i = -2*g. What is the remainder when 9 is divided by ((-12)/10)/(i/5)?
1
Let k be (-1)/(-2) + (-76)/8. Calculate the remainder when 28 is divided by (k/(-3))/(6/20).
8
Let l(f) = -f**2 + 3*f + 12. Calculate the remainder when 44 is divided by l(3).
8
Let j(w) = -w**3 - 5*w**2 - 1. Calculate the remainder when j(-6) is divided by 12.
11
Let c(p) = 20*p**2 - 2*p + 1. Let u be c(1). Suppose s = 3*f + u, 3*s - 27 = -2*s - 2*f. What is the remainder when -2 + 23 - 4/2 is divided by s?
5
Let d(q) = 35*q**3 + q**2 + q - 1. Let t(h) = 19*h. Let y(g) = -g + 6. Let i be y(5). What is the remainder when d(1) is divided by t(i)?
17
Let h(x) = -x**3 + 5*x**2 + 10*x - 11. What is the remainder when 32 is divided by h(6)?
6
Let z = -4 + 32. What is the remainder when 81 is divided by z?
25
Let u be (-2 - -3)*3/1. Suppose 127 + 41 = u*d + 3*n, 3*n = d - 56. Suppose -a + d = 3*a. What is the remainder when 40 is divided by a?
12
Suppose 0 = 4*t - 4*v + 2*v - 86, -5*v - 5 = 0. Suppose 4*g - 2 = 22. Calculate the remainder when t is divided by g.
3
Suppose 0 = 5*d + 14 + 31. Let l = 35 - 22. What is the remainder when l is divided by -4*(d/12 + -1)?
6
Let h(g) = -g**3 - 14*g**2 + 12*g. Calculate the remainder when h(-15) is divided by 23.
22
Suppose -19 = -5*n + 41. Calculate the remainder when 22 is divided by n.
10
Let d = 42 - -30. Calculate the remainder when d is divided by 19.
15
Calculate the remainder when 159 is divided by (-5)/(20/(-3)) - 267/(-12).
21
Let r be (-12)/18 + (-34)/3. Let j be 34/8 + 3/r. Suppose -35 = -j*g - g. Calculate the remainder when 27 is divided by g.
6
Suppose 4*q - 84 = -0*q. What is the remainder when q is divided by 11?
10
Let f(n) = n**2 + 13*n - 21. What is the remainder when 14 is divided by f(-15)?
5
Let m be (8/(-10))/((-4)/10). Suppose 2*d + 6 = -2*y, m*d + 5 = 3*y - 1. Suppose 3*t - 4 - 5 = y. What is the remainder when 4 is divided by t?
1
Suppose -5*g - 3*a + 377 = -0*g, -20 = -5*a. What is the remainder when g is divided by 20?
13
Suppose -3*y = -p - 57, 0 = 4*y + y + 5*p - 115. Suppose 0 = 3*j - 3*z - 39, 5*z + 0*z + 21 = j. Calculate the remainder when y is divided by j.
9
Let l be -1 - (-3)/4*-4. Let v(q) = -q**3 - 2*q**2 + 5*q + 2. What is the remainder when v(l) is divided by 8?
6
Let d(y) = -5*y - 7. What is the remainder when d(-5) is divided by 5?
3
Let l = 97 - 56. Let g = -9 - -23. Calculate the remainder when l is divided by g.
13
Suppose -6*i - 2 = -2*w - i, -i = w - 8. Suppose -5*c = -3*d - 80, -5*d = c - 10*d + w. What is the remainder when 55 is divided by c?
17
Let i = -15 - -15. Suppose 3 + 3 = t. Suppose -t*f + 2*f + 48 = i. Calculate the remainder when f is divided by 7.
5
What is the remainder when 35/((-5)/(-10) + 0) is divided by 12?
10
Let b = 67 - 45. What is the remainder when b is divided by 8?
6
Let d(w) = w**2 - 6*w - w**2 + 3*w**2 + 3 + w. Let r be d(3). Suppose 17 + r = 5*x - 3*p, 3*p - 3 = 0. What is the remainder when x is divided by 3?
1
Let d(i) = -i + 16. Calculate the remainder when 28 - (0 - 0 - -2) is divided by d(7).
8
Let f be 44 + -2 - (0 - -2). Suppose 3*j - f = j. What is the remainder when j is divided by 11?
9
What is the remainder when (-2187)/(-24) - 1/8 is divided by 23?
22
Suppose 5*b = 0, -5*b - 40 = -3*g + 14. Suppose 9 = s + 2*u + 1, -13 = 4*s - u. Calculate the remainder when g is divided by (2/5)/(s/(-50)).
8
Let y = 14 + -11. Suppose 0 = h + 2*g - 61 - 13, 0 = -y*h - 4*g + 228. What is the remainder when h is divided by 27?
26
Suppose k - 4*u - 19 = -u, 2*u + 18 = 2*k. What is the remainder when 87 is divided by (-468)/(-16) + 3/k?
27
Suppose 4*n + c - 105 = -33, -2*c - 60 = -4*n. What is the remainder when 151 is divided by n?
15
What is the remainder when (0 - (-1)/5) + (-11247)/(-115) is divided by 25?
23
Let x = 78 + -46. What is the remainder when 95 is divided by x?
31
Suppose 18 = 3*i + 4*t - 18, 5*t - 7 = i. What is the remainder when 3/(-2)*312/(-36) is divided by i?
5
Let a(f) = 5*f**3 - 2*f**2 - f - 5. Let n(u) = 4*u**3 - 3*u**2 - 4. Let h(i) = -3*a(i) + 4*n(i). Calculate the remainder when 49 is divided by h(6).
15
Let l(i) = -4*i - 41. Calculate the remainder when l(-12) is divided by 5.
2
Let o = 400 + -193. Suppose 66 = -3*j + o. Calculate the remainder when j is divided by 16.
15
What is the remainder when 0/21 - (0 + (-86 - 0)) is divided by 8?
6
Let x(q) = -25*q. What is the remainder when x(-1) is divided by 13?
12
Let s = -27 - -8. Let o be 0 - (3 - 0) - s. Let v = o + -4. What is the remainder when 46 is divided by v?
10
Suppose -5*y = -3*u - 124, -2*y + 0*y + 56 = 2*u. What is the remainder when 127 is divided by y?
23
Suppose -4*z + 3*g + 36 = 0, 4*z - 2*g = z + 27. What is the remainder when 34 is divided by z?
7
Suppose 0 = 6*k - k - 4*p - 141, 114 = 4*k - 2*p. Suppose 2*c = c + k. What is the remainder when c is divided by 10?
9
Suppose 0 = x - 1 - 11. What is the remainder when 67 is divided by x?
7
Let u = -76 - -130. Let t = 11 + u. Suppose 4*l - 4*d - 27 = 41, -d + 49 = 2*l. What is the remainder when t is divided by l?
21
Let u = 3 - -4. Calculate the remainder when 25 is divided by u.
4
Suppose 0 = 7*a - 2*a - 10. Suppose 4*f = a*f + 10. Suppose 2*m = m - f*d - 1, 5*m = -3*d + 39. What is the remainder when m is divided by 5?
4
Let g(i) = i**2 - 4*i - 3. What is the remainder when 52 is divided by g(-3)?
16
Let m = 4 - 3. Suppose -14 = -d + 3*f, 3*d - 2*d = -f + 6. What is the remainder when (m - -2)*44/6 is divided by d?
6
Suppose -30 = -3*f - g, 0*g - 16 = -2*f - 2*g. What is the remainder when 41 is divided by f?
8
Suppose f = -3*y + 15, -2*f = -4*y - 4 + 14. Suppose 3*v - 13 = -2*d, -5*v = -2*d + f + 18. Calculate the remainder when 1*14*1/1 is divided by d.
6
Let q(t) be the third derivative of t**4/4 + 5*t**3/3 + 3*t**2. Let j be q(8). Suppose 0*v - j = -v. What is the remainder when v is divided by 20?
18
Let o(f) = f**3 - 3*f**2 + 3*f. Let d be o(3). Suppose -d*h = -4*h - 15. Calculate the remainder when 15 is divided by h.
0
Let c = -3 + 5. Let u(s) = c*s**2 - 4*s + 2*s + 2*s**2 + 1 + 9*s - s**3. Calculate the remainder when 20 is divided by u(5).
9
Let g(t) = -4*t - 33. Calculate the remainder when 13 is divided by g(-10).
6
Suppose -37 = -5*r + 348. Let g = r + -42. Calculate the remainder when g is divided by 0/2 + 19 + -1.
17
What is the remainder when (-4)/3*15/5 - -25 is divided by 5?
1
Suppose -5*s = 3*m + 20, 4*s - 2*s + 29 = 3*m. Let q = -5 - s. Let r = q - 1. Calculate the remainder when 2 is divided by r.
0
Let s = 12 - -2. Let o = 5 + -5. Suppose o*w - w + 25 = 0. Calculate the remainder when w is divided by s.
11
Suppose -4*k + 3*k - 4*y = 54, -2*k + 2*y - 58 = 0. Let m = k + 69. Suppose 0 = -4*f + 34 + 38. Calculate the remainder when m is divided by f.
17
Suppose -6 = -c + q + 5, 4*c = q + 29. Suppose c - 2 = -2*x. What is the remainder when 7 is divided by (3/x)/((-2)/4)?
1
Suppose o = m + 15 + 14, 5*m = -25. What is the remainder when 143 is divided by o?
23
Suppose -2*n + 25 = 3*o, 0*n - 2*n + 2*o = 0. Suppose -61 = 4*y - n*y. Calculate the remainder when y is divided by 16.
13
Let n(k) = 4*k + k - 8 - 4*k. Let x be n(8). Calculate the remainder when 57 is divided by -15*(-3 + x - -2).
12
Suppose 0*w = 2*w - 32. Calculate the remainder when w is divided by 5.
1
Let i = -44 + 92. Let x = i + -98. Let f = -29 - x. Calculate the remainder when f is divided by 11.
10
Let f be (-3)/2*(-10)/15. Let d be f/3*0 + -2. What is the remainder when 56 is divided by (19/d)/(2/(-4))?
18
Let y be 8/40 - (-138)/10. Suppose 3*h - d - 3*d = 16, 2*h - d - y = 0. Calculate the remainder when 19 is divided by h.
3
Suppose -4*u + 45 = -u. Let a(l) = 3*l**2 + 8*l - 3. Let o be (-3)/(-1*(-2)/4). What is the remainder when a(o) is divided by u?
12
Suppose -9*c + 422 = -109. Calculate the remainder when c is divided by 32 + (-2 - (-1 + 1)).
29
Let k = 121 - 46. What is the remainder when k is divided by 16?
11
Suppose 4*o + 2*x - 6 = 0, -3*o + 4 + 3 = x. Let k be (-2)/(3 + -1)*-64. Calculate the remainder when 10 is divided by o/(-10) + k/10.
4
Let g(a) = 3*a**2 + 22*a + 5. Let h(f) = 2*f**2 + 15*f + 3. Let x(q) = 5*g(q) - 7*h(q). What is the re