ose s*y - 4 = y. What is the remainder when y is divided by 2?
0
Suppose -5*j - 10 = -0*j. Let u = j + -4. What is the remainder when 61 is divided by (-4)/u - 61/(-3)?
19
Suppose m - 3*p - 26 = 0, -p - p = -5*m + 195. Suppose -4*y = -0*n - n - 47, -3*n - 31 = -2*y. Calculate the remainder when m is divided by y.
8
Let p be ((-48)/(-20))/(2/10). Let f(n) = -n**3 + 12*n**2 + 2*n - 10. Calculate the remainder when 54 is divided by f(p).
12
Suppose -5*j + j + f + 211 = 0, -j + 4*f = -49. Let l = 33 + -15. What is the remainder when j is divided by l?
17
Calculate the remainder when 23 is divided by ((-10)/25)/((-2)/40).
7
Let i be 7 - (-1)/((-2)/4). Suppose -i*r - 5*x + 15 = 0, -4*x - x = 5. Suppose 55 = y + r*y. What is the remainder when y is divided by 6?
5
Suppose 5*i = -2*i + 14. Calculate the remainder when 8 is divided by i.
0
Let s(p) be the second derivative of p**4/3 + p**3/2 + 3*p**2/2 + 4*p. What is the remainder when 24 is divided by s(-2)?
11
What is the remainder when 66 is divided by (21 - 0) + -1 + -3?
15
Let w(f) = -3*f - 3. Let q be w(-2). Suppose u - 3 = -4*d, -5*u - q*d - 2*d = -15. Suppose -u = i - 10. What is the remainder when i is divided by 2?
1
Calculate the remainder when 60 is divided by 10/30 + (-186)/(-9).
18
Let n be 0*2/(-8)*2. Calculate the remainder when 15 is divided by n - 12*(-6)/9.
7
Suppose -4*p = -3*h - 2*p + 30, -5*p + 75 = 5*h. Let g = 8 + 0. Calculate the remainder when h is divided by (g/12)/((-4)/(-42)).
5
Suppose 27 = 3*u - 0*u. Let v(h) = 3*h**2 + 3*h + 1. Calculate the remainder when (24/u - 2)*54 is divided by v(-3).
17
What is the remainder when (1/2)/(0 + (-1)/(-312)) is divided by 53?
50
Suppose 2*r + 8*w - 3*w = -67, -2*w = -r - 20. What is the remainder when 13 is divided by 12/42 - r/7?
1
Let l = 162 - 101. Calculate the remainder when l is divided by 16.
13
Suppose -90 - 27 = -9*k. What is the remainder when 115 is divided by k?
11
Let m be (1 + 0)/(2/62). Let d = m + -13. Calculate the remainder when 53 is divided by d.
17
Let r(u) = u**3 - u**2 + 4. What is the remainder when 87 is divided by r(3)?
21
Calculate the remainder when 62 is divided by (33/(-2))/((-9)/18).
29
Suppose 0 = 5*p + 4*p - 99. What is the remainder when 31 is divided by p?
9
Suppose 0 = -2*n - 5*k + 2*k + 1, 4*k = -2*n - 4. Let t = n + 4. Calculate the remainder when 45 is divided by t.
9
Suppose 3*p - 46 = -0*p + 2*d, 86 = 5*p - d. Suppose 14 = 5*a + 4*o - 16, -a + 25 = -3*o. Calculate the remainder when p is divided by a.
8
Suppose -2*r = r - 105. Suppose -2*s = -3*g + 3*s - 3, 5*g + 5*s = r. What is the remainder when g is divided by (-3)/(-1) - 0/(-1)?
1
Suppose 0*w + 2*w - 38 = 0. What is the remainder when 74 is divided by w?
17
Let m = -3 + 4. Suppose 7*x = 10*x - 69. What is the remainder when x is divided by -1 + m - (-36)/3?
11
Suppose n + 7 = -0*c + 4*c, -12 = c - 3*n. Suppose -c*k = 19 - 55. Calculate the remainder when 8/28 - (-243)/7 is divided by k.
11
Let b be (-16)/(-12)*(-3)/(-2). Suppose -b*z + 45 = o, z - o = 10 + 14. What is the remainder when z is divided by 6?
5
Let f(l) = l**3 - 2*l**2 - l - 3. Let j be f(5). Let w = j - 24. Suppose d - 5 - 10 = 0. What is the remainder when w is divided by d?
13
Suppose d - 8 = -0*d + 5*w, 18 = -5*d - 4*w. Calculate the remainder when 13 is divided by (d/4)/(1/(-14)).
6
Suppose -36 + 8 = 4*d. Let c = d - -9. What is the remainder when -23*c*(-3)/6 is divided by 6?
5
Suppose -5*x + 120 + 29 = 2*d, 2*d - 56 = -2*x. What is the remainder when 87 is divided by x?
25
Let f(w) = 19*w + 1. Let c be f(-1). Let n = c - -27. Calculate the remainder when 25 is divided by n.
7
Suppose 0 = 3*i - 53 + 2. Calculate the remainder when i is divided by 6.
5
Suppose -2*b - 14 = -4*l, 0*b - 3*b = 3. Let y(i) = i - 15*i - 2 + l. Calculate the remainder when y(-2) is divided by 15.
14
Suppose -2*p + 125 = 3*p. Suppose 4*z + l = 294, 4*l + 67 = z + l. What is the remainder when z is divided by p?
23
Let p(d) = -3*d**3 + d**2 - 1. Let s be p(-1). Let j = -58 - -86. Calculate the remainder when j is divided by (s + 17)*6/8.
13
Let x = 282 - 215. What is the remainder when x is divided by ((-1)/(-1))/((-1)/(-17))?
16
Let t = 9 - 12. Let r(v) = -5*v - 3. What is the remainder when r(-6) is divided by -21*(8/3 + t)?
6
Suppose 2*d - 100 = 64. What is the remainder when d is divided by 28?
26
Suppose 17*u = 208 + 574. Calculate the remainder when u is divided by 25.
21
Let c = -14 - -14. Suppose 5*r + 5 = c, 3*r + 75 = 4*o - 0*r. Calculate the remainder when o is divided by 4.
2
Suppose -9 = -2*x + w, -2*x = w - 5*w - 18. What is the remainder when 9 is divided by x?
0
Calculate the remainder when (-1 - -5)*(-255)/(-12) is divided by 29.
27
Suppose 0 = -0*p + 2*p - 126. Let i = p - 4. Calculate the remainder when i is divided by 20.
19
Suppose -s + 28 = 3*s. What is the remainder when s is divided by 3?
1
Let z = 3 - -6. Let i(l) = l**3 - 9*l**2 + 2*l + 2. Calculate the remainder when 59 is divided by i(z).
19
Suppose 3*v + 4*x = 109, 4*x = v - 2*v + 47. Calculate the remainder when 90 is divided by v.
28
Suppose 0 = 2*d - 5*d + 9. What is the remainder when 10 is divided by d?
1
Let q = -32 - -85. Let o(v) = -v + 27. Calculate the remainder when q is divided by o(13).
11
Let z(x) = -x**3 + 7*x**2 + 3*x - 7. What is the remainder when z(3) is divided by 13?
12
Let s = 128 + -118. What is the remainder when 118 is divided by s?
8
Suppose -5*m - 3*p + 373 = 0, 4*m - 2*m = 4*p + 144. Calculate the remainder when m is divided by 19.
17
Suppose 3*h - 112 = h. Calculate the remainder when h is divided by 15.
11
Suppose 5 + 25 = 2*f. Calculate the remainder when (2 - 6)*(-9 + 2) is divided by f.
13
Suppose -i + 160 = 3*i. Let r = 56 - 26. Suppose 4*j + r - 78 = -4*q, 2*q - 10 = -j. Calculate the remainder when i is divided by j.
12
Suppose 0 = 3*s, -3*s - 2*s + 206 = 2*b. Calculate the remainder when b is divided by 26.
25
Suppose 5*j + 0*j = 40. What is the remainder when 17 is divided by j?
1
Suppose -30*n + 38*n = 144. Suppose 27 - 287 = -5*f. Calculate the remainder when f is divided by n.
16
Let d(n) = -n**3 - 3*n**2 + 3*n + 3. Calculate the remainder when 17 is divided by d(-4).
3
Let x(i) = -i**2 - i. Let h be x(-3). Let m = -8 + 13. Calculate the remainder when m is divided by 1/(0 + (-3)/h).
1
Suppose 0 = -o - 19 + 255. Suppose -o = -5*j + j. Calculate the remainder when j is divided by 20.
19
Let r(u) = -3*u**2 - 2*u. Let h be r(-2). Let g = -1 - h. What is the remainder when 25 is divided by g?
4
Let q(n) = n**3 - 17*n**2 - 16*n + 33. Calculate the remainder when q(18) is divided by 12.
9
Let q(b) = b. Let l be q(-3). Calculate the remainder when 1/((-400)/134 - l) is divided by 17.
16
Let h be 11/3 - (-2)/(-3). Suppose 2*k = h*k - 46. Calculate the remainder when k is divided by 16.
14
Suppose 0 = -85*p + 84*p + 60. What is the remainder when p is divided by 7?
4
Let n = 6 + -4. Suppose -2*c - 3*f = -8 + n, -f + 9 = 3*c. Let a = -5 + 12. What is the remainder when a is divided by c?
1
Let n = -27 + 57. Calculate the remainder when n is divided by 8.
6
Suppose -3*f + 4*f - w - 36 = 0, 5*w + 78 = 2*f. What is the remainder when f is divided by 12?
10
Let h be (-2)/12 - (-155)/30. Suppose 2*j + h - 29 = 0. What is the remainder when (4/j)/((-2)/(-174)) is divided by 10?
9
Let r(a) = -2*a - 1. Let j be r(2). Let y be (4/10 - 2)*j. Suppose 6*k = 5*k + y. What is the remainder when 15 is divided by k?
7
What is the remainder when 49 is divided by 6 + 6 - (-3 - (-1)/1)?
7
Suppose 8*k = k + 434. What is the remainder when k is divided by 16?
14
Suppose -o + 4 = -5*k, 0 = -5*o + 3*k - 0*k + 64. Calculate the remainder when 27 is divided by o.
13
Let w = -228 + 352. Calculate the remainder when w is divided by 42.
40
Suppose -10*w = -89 - 101. Calculate the remainder when w is divided by 5.
4
Let t be (-13)/((-2)/2 + 0). Let w = t - 4. What is the remainder when w is divided by 6?
3
Suppose -13*m = -12*m - 15. Calculate the remainder when 25 is divided by m.
10
Suppose -2*z + 4*o + 102 = 0, 0 = -4*o - 0*o - 20. What is the remainder when z is divided by 7?
6
Let y be 2 - 1 - (4 + -4). Let v(w) = 29*w**2 + w. What is the remainder when 117 is divided by v(y)?
27
Suppose -2*g - 1 = -3*g. Sup