9. Suppose 6 = 5*w - a. What is the remainder when 53 is divided by w?
17
Calculate the remainder when 58 is divided by (-3)/9*0 + 20.
18
Let v = 116 - 46. Suppose -5*o + 0*m - 2*m + v = 0, -2*o - 5*m = -28. Suppose -3*a = -2*a - o. Calculate the remainder when 53 is divided by a.
11
Suppose -24 = -o - 2*o. Suppose 0 = 4*p - b - 25, p = -0*p + 2*b + o. Let k = p + 8. Calculate the remainder when 27 is divided by k.
13
Suppose -3*d = 211 - 799. Suppose 0 = -5*t - 4*s - d, 5*t - 5*s + 125 = 2*t. Let y = t + 63. What is the remainder when y is divided by 8?
7
Let l = 0 - -9. Suppose -17 = 3*w - 92. Calculate the remainder when w is divided by l.
7
Suppose x + 3 = -0*x, -5*n - 2*x + 109 = 0. Suppose 3*j - 4*j = -6. What is the remainder when n is divided by j?
5
Let t(m) = -8*m - 4. Let w(z) = 9*z + 5. Let a(x) = 4*t(x) + 3*w(x). Let y be a(1). Calculate the remainder when 8 is divided by y/(-15) + 39/15.
2
Suppose -2*a + 5*j = -0*a - 15, 4*j - 80 = -3*a. Let q = 1 + 1. Suppose q = m + 5*g, 6*g - g = -4*m + 23. What is the remainder when a is divided by m?
6
Let c(y) = -y**2 + 5*y - 5. Calculate the remainder when 1 is divided by c(2).
0
Let v(m) = m**3 - m**2 - m + 1. Let x be v(2). Suppose 2*n - x*n + 12 = 0. Calculate the remainder when ((-4)/2)/(-2) + 21 is divided by n.
10
Suppose -4*s + 86 = 10. What is the remainder when 73 is divided by s?
16
Let m(f) = -f**2 - 8*f + 1. Let j be m(-7). Suppose 0 = t - 21 - j. What is the remainder when t is divided by 15?
14
Let p = 14 - 10. Suppose 3*t - 115 = -3*k - 37, p*k = 5*t + 149. What is the remainder when k is divided by 16?
15
Suppose 2*r = -3*r + 65. Suppose r = 3*w - 2. Calculate the remainder when w is divided by 3.
2
Let y = 17 - 7. Suppose 0 = 5*b + y, -2*d + 59 = d + 2*b. Suppose s - d = -5. What is the remainder when s is divided by 9?
7
Let m(o) = 4*o + 2. Let v be m(-3). What is the remainder when 15 is divided by 20*(0 - 4/v)?
7
Suppose 0*l - 2*l = -42. Calculate the remainder when l is divided by 6.
3
Let f be (-24)/(-14) - (-4)/14. Let a be -2 - (0 - 15/3). Suppose 2*v = w - 51, -a*v = w - f*v - 36. What is the remainder when w is divided by 14?
13
Suppose 3*c = -2*c + 325. Suppose 2*z = 5*j - c, -z = 5*j - 2*z - 65. What is the remainder when ((-96)/10)/2*-5 is divided by j?
11
Let u(t) = -16*t**3 - 1. Let d = 24 + 35. Calculate the remainder when d is divided by u(-1).
14
Suppose 3*m - 2*m - c + 3 = 0, -2*m - 9 = -3*c. Suppose m - 8 = -2*d. Suppose 0*r = -3*r + 6. Calculate the remainder when d is divided by r.
0
Let b = -42 - -77. Suppose 3*o = -5*m + 44 + 2, -2*m = -4*o - 8. Calculate the remainder when b is divided by ((-36)/m)/((-1)/2).
8
Let u = 12 + -7. Suppose i + 2 = 0, -u*z + 48 + 31 = 3*i. Calculate the remainder when 32 is divided by z.
15
Suppose 5*l = 3*n + 200 - 10, 0 = 3*l + n - 100. What is the remainder when 67 is divided by l?
32
Suppose 3*d = 2*l - 84, 18 = 4*d + 2. Calculate the remainder when l is divided by 10.
8
Suppose -3*v + 4*u = -59, -4*u - 70 = -4*v + 2. What is the remainder when v is divided by 5?
3
Let b = 113 - 47. Calculate the remainder when b is divided by 23.
20
Let u be 0/(0 - (3 - 4)). Suppose u = w - 5*i - 27, 6*i = 5*w + 2*i - 30. What is the remainder when w is divided by 2?
0
Let x(f) = -f - 11. Let t be x(-11). Calculate the remainder when -2*(t - -1) - -4 is divided by 1.
0
Let g(i) = -i**3 + 5*i**2 + 9*i - 8. Let h be g(6). Suppose -y - y + h = 0. What is the remainder when y is divided by 2?
1
Let w be ((-5)/(-5))/(2/18). Suppose 3*f - w = 0, -4*c + 2*f + 124 + 118 = 0. Calculate the remainder when c is divided by 16.
14
Let j(y) = y**2 - 2*y - 5. Let o be j(4). Let q = 103 - 64. Suppose -5 = -i - o*m + 6*m, 0 = 3*i + 3*m - q. Calculate the remainder when 20 is divided by i.
9
Suppose -9*d = -4*d - 345. What is the remainder when d is divided by 10?
9
What is the remainder when 22 is divided by (-2)/5*(-9 + -6)?
4
Suppose 2*i + 0*i - 24 = -4*n, 0 = -5*i + 4*n + 60. What is the remainder when 59 is divided by i?
11
What is the remainder when 24 is divided by (24/(-20))/(16/(-40))?
0
Let x be (-81)/(-2) + (-4)/8. Let i be (-3*x/3)/(-1). Suppose -3*r = 2*o - 25, -3*r + i = -2*o + 7*o. Calculate the remainder when o is divided by 3.
2
Let i = 164 - 116. Calculate the remainder when i is divided by 17.
14
Let s be 6/(-2*(-2)/(-12)). Let q = -12 - s. Calculate the remainder when 11 is divided by q.
5
Suppose 0 = 3*b - 8*b - 5*t + 85, 2*t + 68 = 4*b. What is the remainder when 65 is divided by b?
14
Let z(i) = -8*i + 58. Let j(k) = -36*k - 1. What is the remainder when j(-1) is divided by z(6)?
5
Suppose 0 = 2*s + 5*j - 19, -5*s + j + 37 = -3*s. Let y = 12 + -6. What is the remainder when s is divided by y?
5
Let t(l) = -6*l - 7. What is the remainder when t(-4) is divided by 5?
2
Let d be -7 + 104 - 1/1. Suppose 2*y = -5*a + 176, 0 = 3*a - 6*y + 4*y - d. What is the remainder when a is divided by 18?
16
Let u = 21 + -11. Calculate the remainder when 29 is divided by u.
9
Let v(g) = g**2 + 21*g + 25. Calculate the remainder when v(-22) is divided by 7.
5
Let z(w) = -1 - 3 - w**3 + 2 + 4*w + 3 - 3*w**2. Calculate the remainder when z(-4) is divided by 1.
0
Suppose -50*x + 46*x = -368. What is the remainder when x is divided by 31?
30
Let m be (9/(-15))/(4/(-20)). Suppose -6*o = -m*o - 39. Calculate the remainder when 25 is divided by o.
12
Suppose 2*b = 4*b - 76. Let w(f) = -2*f - 4. Let m = 3 - 10. What is the remainder when b is divided by w(m)?
8
Suppose 12 = -3*b + 63. Suppose 4*s = v - 25, 2*v + 36 = 5*v + s. Suppose -3*y = -4*c + 38 - 11, -2*c = -y - v. What is the remainder when b is divided by c?
5
Suppose 6 = 3*t - 15. What is the remainder when 34 is divided by t?
6
Suppose 8*z - 15 = 3*z. Suppose -2*c + z*c - 17 = 0. What is the remainder when 33 is divided by c?
16
Let j = -143 + 149. What is the remainder when 16 is divided by j?
4
Suppose -3*a + 20 = 2*a. Suppose -a*j = -10 - 14. Suppose -2*w = -w - 16. What is the remainder when w is divided by j?
4
Let p = -76 + 92. Calculate the remainder when p is divided by 5.
1
Let u(k) = 22*k**2 - 4*k - 3. Calculate the remainder when 65 is divided by u(-1).
19
Let y = 19 - 36. Let x = y - -26. Calculate the remainder when 17 is divided by x.
8
Suppose 5*y = 2*u - 4*u + 257, y = -3*u + 41. Suppose 0 = -5*n + 5*m + 190, n + m = -3*m + y. Calculate the remainder when n is divided by 21.
20
Suppose 0 = -10*x + 14*x - 28. What is the remainder when 20 is divided by x?
6
Let s be (-7)/(-4 - (-1 + -2)). Let y(l) = l**2 + l - 5. Let k be y(0). Let q = k + s. What is the remainder when 2 is divided by q?
0
Let u be 3/(-5) + 234/15. Let p = u - 7. What is the remainder when 29 is divided by p?
5
Let v(r) = r + 5. Let i be v(-7). What is the remainder when ((-3)/(-4))/(i/(-56)) is divided by 11?
10
Let y(g) = -2*g - 6. Suppose 2*b = -5*f + 40, -3*f - 29 = -4*b - 79. What is the remainder when f is divided by y(-6)?
4
Let o(b) = -b - 3. Let w be o(-8). Let j(f) be the first derivative of 5*f**2/2 - 7*f - 3. Calculate the remainder when 53 is divided by j(w).
17
Suppose -3*g - 15 = 0, -1 = k + g - 3. Calculate the remainder when 32 is divided by k.
4
Let r = -10 + 17. Let s = -16 + -29. Calculate the remainder when r is divided by (-68)/(-18) + (-10)/s.
3
Suppose -4 = -c - 0. Suppose 13 = 3*p + c*t, 5*p - t = t + 13. Calculate the remainder when (-3)/(-1 + (-2)/(-8)) is divided by p.
1
Let n = -31 - -17. What is the remainder when 748/28 + (-4)/n is divided by 14?
13
Suppose -2*v - 25 = -127. Calculate the remainder when v is divided by 27.
24
Suppose -a = 2*a. Let t(u) = 7 - 3*u**3 - u**2 + 2*u**3 + u + 0*u. Calculate the remainder when 13 is divided by t(a).
6
Calculate the remainder when 42 is divided by 15 + 0/(2*-2).
12
What is the remainder when 26 is divided by (12/8)/(6/28)?
5
What is the remainder when -1*(0 - -74)/(-2) is divided by ((-2)/4)/((-8)/208)?
11
What is the remainder when ((-72)/48)/((-6)/304) is divided by 26?
24
Let g = -2 - -4. Let x be 223/(-2) - 1/g. Let v = x - -167. What is the remainder when v is divided by 19?
17
Suppose -2*m + 97 = -41. Let z = -11 + 29. Calculate the remainder when m is divided by z.
15
Let r = -5 + 27. What is the remainder when 41 is divided by r?