alculate the remainder when x is divided by i.
3
Suppose -t - 3*s + 150 = 0, -2*s - 586 = 2*t - 6*t. Calculate the remainder when t is divided by 30.
27
Let n(j) = -19*j**3 + 4*j - 2*j + 21 + 18*j**3 - 3*j. Let v = 0 - 0. What is the remainder when n(v) is divided by 11?
10
Suppose 16 = 3*t - 4*f + 2*f, 2*t + 2*f = 4. Suppose -t*u - 317 = -3*h - 3*u, -5*h = -2*u - 528. Calculate the remainder when h is divided by 27.
25
Suppose 4*f - 9*f + 4*i + 17 = 0, -5*i = -f + 16. Let p = f + 2. What is the remainder when 10 is divided by p?
1
Suppose 2*g = 5*z - 947, 5*z + 4*g = -0*g + 941. What is the remainder when z is divided by 38?
37
Let q = 116 + -69. Suppose -20 = -3*v + 16. What is the remainder when q is divided by v?
11
Suppose -8 = -4*h + 140. Let p(v) = 2*v**2 + 3*v. What is the remainder when h is divided by p(-4)?
17
Let d = 19 - -36. What is the remainder when d is divided by 29?
26
Calculate the remainder when 8 is divided by (-6 + 12)/((-2)/(-1)).
2
Suppose 88 - 30 = 2*r. Calculate the remainder when r is divided by (6 + -2)*30/12.
9
Suppose -31 = -4*v + 25. Suppose n - 4*d = v + 4, 4*n = 4*d + 132. Let u = -31 - -44. What is the remainder when n is divided by u?
12
Suppose -78 = -3*u + 3*k, 3*u - 34 - 56 = -k. What is the remainder when 86 is divided by u?
28
Let u be 422/10 + (-1)/5. Let o be 2/(-7) - (-306)/u. Suppose 3*l + 14 = -w, -o*w + 14 = -3*w - 2*l. Calculate the remainder when w is divided by 1.
0
Suppose 0 = 3*y - 5*s - 100, 4*y - s - 3*s = 136. What is the remainder when (-10)/y + (-37)/(-7) is divided by 4?
1
Let j = -109 - -54. Let f = -37 - j. Let z = 29 + -19. Calculate the remainder when f is divided by z.
8
Let f(v) be the third derivative of 1/8*v**4 + 0*v + 0 + 1/60*v**5 - 2*v**2 + 1/6*v**3. What is the remainder when 56 is divided by f(-6)?
18
Let i(b) = -b**3 - 14*b**2 - b - 5. What is the remainder when i(-14) is divided by 3?
0
Let z = 2 + -1. Let n = z + 2. Suppose -67 = -5*q + n. Calculate the remainder when 27 is divided by q.
13
Suppose 2*y = -y. Suppose y*q - 20 = -4*q. Calculate the remainder when q is divided by 4.
1
Let m = -18 + 8. Let d = 24 + m. What is the remainder when -3 + 3 - 27*-1 is divided by d?
13
Let o(k) be the second derivative of -5*k**3/6 - 5*k**2 - k. What is the remainder when o(-8) is divided by 16?
14
Suppose 5*r + 0*r - 10 = 0. Suppose -r*g - g = -42. What is the remainder when 25 is divided by g?
11
Let m(p) = -p**3 - 5*p**2 - 4*p - 5. What is the remainder when 73 is divided by m(-5)?
13
Let v(j) = -17*j**3 + j**2 + 2*j + 1. What is the remainder when v(-1) is divided by (-476)/(-49) - 2/(-7)?
7
Suppose -5 = 4*t - 21. Suppose 5*p - t*p - 7 = -2*l, -4*p + 38 = -2*l. Suppose -28*q + 23*q = -80. What is the remainder when q is divided by p?
7
Let u = 23 + 35. What is the remainder when u is divided by 30?
28
Let q = 5 - 2. Suppose 0 = -q*y + 5*k - 41, -5*y = 3*k - 2*k + 115. Calculate the remainder when 11 is divided by 4/22 + (-128)/y.
5
Calculate the remainder when 111 is divided by 28/((-3)/(-4) + (-1)/(-4)).
27
Calculate the remainder when 3 + (-2 - -3) + 19 is divided by 6.
5
Suppose -2 = -2*k + 10. Let v = k + 2. Calculate the remainder when v is divided by 5.
3
Let x = 5 + 0. Suppose 60 = 6*s - 18. Calculate the remainder when s is divided by x.
3
Let s be (-46)/(-4) + (-1)/(-2). Let t(q) = -q**3 + 12*q**2 + 6. What is the remainder when t(s) is divided by 2?
0
Let q be -138*(0 + 1 + -2). What is the remainder when 77 is divided by q/7 + (-6)/(-21)?
17
Let a be (-2)/4*(-4)/1. Let u = 16 + -14. Suppose -u*n + t = -73, 0 = a*n - n - 4*t - 26. What is the remainder when n is divided by 13?
12
Let s(w) = w**3 + 10*w**2 - 2*w - 5. Calculate the remainder when 41 is divided by s(-10).
11
Let r = 33 - 11. Calculate the remainder when 87 is divided by r.
21
Suppose -2*f + 2 = -0. Calculate the remainder when 3 is divided by f.
0
Let o = -19 + 24. Let s = o + 0. Calculate the remainder when s is divided by 4.
1
Suppose j - 5*p = 19, 4*p + 12 = -0*p. Suppose -9 = j*d - 29. What is the remainder when d is divided by 2?
1
Suppose y = -0*y + 17. Let n(k) = -48*k + 2. Let w be n(-4). Suppose 3*z - w = -3*i - 56, 3*i + 62 = z. What is the remainder when z is divided by y?
16
Calculate the remainder when 15 is divided by (-18)/(8/(-5 + 1)).
6
Suppose 6*x - x + 7 = -u, -2*u - 2 = 4*x. Suppose 3*s = -0*s + 2*r + 9, r = s - 4. Let l = s + 7. Calculate the remainder when l is divided by u.
2
What is the remainder when 80 is divided by 2/(-10) - (222/(-10) + 1)?
17
Suppose -3*u = v - 15 - 64, 5*u = 5*v + 105. Let g(h) = 2*h - 2 - 1 + 0. What is the remainder when u is divided by g(6)?
7
Let h = 0 + 5. Let x(c) = 0*c + 3 + 3*c - 5. Calculate the remainder when x(5) is divided by h.
3
Let w(a) = a**3 - 5*a**2 - 6. Let j be w(5). Let f be (-309)/j + (-1)/(-2). Let b = -27 + f. Calculate the remainder when b is divided by 13.
12
Let o = -343 + 364. Suppose 1 = 2*i - 21. Calculate the remainder when o is divided by i.
10
Let g(u) = -8*u + 9. What is the remainder when g(-9) is divided by 12?
9
Suppose 2 - 10 = -2*m. Calculate the remainder when (16/(-10))/(m/(-110)) is divided by ((-1)/(-3))/((-1)/(-69)).
21
Suppose 0 = -4*n - 4*k + 16, 6 - 17 = -2*n - 5*k. What is the remainder when 3 is divided by 4 + -1 - (4 - n)?
1
Let q(v) = v**3 + 5*v**2 - 8*v - 8. Let a be q(-6). Suppose 0 = -a*x - 1 + 21. What is the remainder when 9 is divided by x?
4
What is the remainder when 0 + (-3)/(9/(-132)) is divided by ((-92)/4)/(-1 - 0)?
21
Let w = 22 + -7. What is the remainder when w is divided by 9?
6
Let p(o) = -o**3 + 6*o**2 + 2*o + 7. Let s be p(5). What is the remainder when 14 is divided by s/8 - (-2)/(-8)?
4
Suppose -20 = 5*v, 5*v + 0*v + 330 = 5*m. Let q = 33 - 12. Calculate the remainder when m is divided by q.
20
Suppose 3*n = 3*h, -4*n + 4 = -n - 4*h. Let u = n + 0. What is the remainder when (27/(-2))/(3/u) is divided by 10?
8
Let w be 42 - (-1 + 7 + -2). Suppose 0 = 2*q - 3*v + 2*v - 27, -3*q + v + w = 0. Calculate the remainder when 19 is divided by q.
8
Suppose 6*h - 480 = 186. Calculate the remainder when h is divided by 28.
27
Let k be ((-28)/10)/((-3)/15). Let c = 15 + k. Calculate the remainder when c is divided by 15.
14
Let v(y) = 3*y**2 + 4*y - 4. What is the remainder when v(3) is divided by 9?
8
Suppose 58 = 3*g + 1. What is the remainder when 33 is divided by g?
14
Let s(f) = -f - 2. Let i(g) = g**2 + 10*g + 11. Let d be i(-8). Let r be s(d). Calculate the remainder when 12/4 + -1 + r is divided by 3.
2
Let k(f) = f. Let o be k(-2). Let w = 0 - o. Calculate the remainder when w is divided by 2.
0
Let x(v) = v**2 - 9*v + 18. What is the remainder when x(12) is divided by 14?
12
Let k be 12/(-8)*(-3 + 1). Suppose -58 + 7 = -k*x. Calculate the remainder when x is divided by 9.
8
Suppose -5*p + 5*y + 0*y = 115, y + 17 = -p. Let j be (12/5 + -2)*p. Let h = 18 + j. Calculate the remainder when 18 is divided by h.
8
Let o be (-598)/(-14) - (-4)/14. Let g = -11 + o. What is the remainder when g is divided by 11?
10
Let t(w) = 2*w**2 + 12*w + 6. What is the remainder when (-1 - -23)/2*1 is divided by t(-6)?
5
Let z be (1 + -1)*6/(-6). Suppose z = 3*x - 3*r - 30, 13 = x + 2*r - 0. Suppose -t = -25 + 6. Calculate the remainder when t is divided by x.
8
Suppose -q - 2*q + 12 = 0. Suppose 5*i - 4*l + 13 = -11, 0 = 5*l + 20. Let f = i - -14. What is the remainder when f is divided by q?
2
Let d be ((-1)/(-3))/((-1)/(-21)). Suppose 0 = -5*y - 10, -5*p = -d*p - 2*y + 50. What is the remainder when p is divided by 14?
13
Suppose 2*z + 7*z - 324 = 0. Calculate the remainder when 106 is divided by z.
34
Suppose -5*z = 20, -46 = -2*r + 2*z + 2*z. Calculate the remainder when 62 is divided by 6/r + 312/20.
14
Let h(w) = 2*w**2 - 3*w + 2. Let t be h(4). Let g = t - 2. Suppose 2*o - 6*o = -g. What is the remainder when o is divided by 2?
1
Let v = -13 + 26. Calculate the remainder when 46 is divided by v.
7
Suppose -3*z = -23 + 5. What is the remainder when 21/6 + (-2)/4 is divided by (5 - 2)*4/z?
1
Suppose 9*u = 4*u + 120. Suppose 5*p = 2*f - 20, 2*f - 2*p = p + u. Suppose s = 5*x - 46, 3*x - 16 = 4*s + f. Calculate the remainder when 25 is divided by x.
7
Let j = 8 + 4. Calculate the remainder when 346/10 