- 38. Calculate the remainder when s is divided by 8.
7
Suppose 5*j - 210 = 5*r, -2*r - 207 = -6*j + j. What is the remainder when j is divided by 22?
19
Let h = 0 - -9. Suppose -2*z - 4*o + 117 = -h*o, -3*z + 5*o = -178. What is the remainder when z is divided by 21?
19
Suppose -5*x + 7*x = 6. Suppose x*k - 2*k - 3 = 0. Let f = k + -1. Calculate the remainder when 2 is divided by f.
0
Suppose 5*h = -3*k + 251, 5*k - 2*h - h = 441. Suppose -2*v + k = 1. What is the remainder when v is divided by 22?
21
Suppose -d - b + 0*b + 20 = 0, 70 = 4*d - b. What is the remainder when d is divided by 10?
8
Let j(s) = s**3 + 9*s**2 - s - 5. Let h be j(-9). Suppose -h*q - 4 = 0, 2*q + 3 + 4 = 5*d. What is the remainder when d is divided by 1?
0
Let w(c) = 2*c**2 + 0*c**2 + c**2 - 3*c - 2*c**2 + 1. Let i(s) = s**3 - 6*s**2 - 9*s + 9. Let m be i(7). What is the remainder when w(m) is divided by 11?
8
Let a = 22 + -16. Calculate the remainder when 9 is divided by a.
3
Let p be (-4 - -3)/((-2)/(-22)). Let c be p + (-1 + 0)/1. What is the remainder when 40 is divided by (35/(-15))/(2/c)?
12
Let z = -12 - -44. What is the remainder when 92 is divided by z?
28
Let i = 83 + -31. Calculate the remainder when i is divided by 18.
16
Let f = 2 - 1. Let h = 69 - 28. Calculate the remainder when h is divided by ((-14)/1)/(f + -2).
13
Let b = 6 - -2. What is the remainder when 30 is divided by b?
6
Suppose -2*z + z - 61 = -5*p, -p + 3*z = -15. Suppose u - p = -2*u. Suppose u*v = -v + 60. Calculate the remainder when v is divided by 7.
5
Let y(z) = z - 7. What is the remainder when (-50)/(-15) - (-2)/(-6) is divided by y(9)?
1
Let q = -81 + 87. Suppose -c = 5*g - 0*g - 75, 4*c + 15 = g. Calculate the remainder when g is divided by q.
3
Suppose 5*x = 45 + 25. Calculate the remainder when 97 is divided by x.
13
Suppose -126 = -4*i + i. What is the remainder when i is divided by 17?
8
Let o be (-106)/(-4) - 1/(-2). Suppose -5*k + 63 = -2*a, -k + a - o = -3*k. Let d(g) = -24*g - 1. Calculate the remainder when d(-1) is divided by k.
10
Let x = 30 - 10. Let l = 54 + -17. Calculate the remainder when l is divided by x.
17
Let n = -79 + 158. Calculate the remainder when n is divided by 27.
25
Suppose 0 = -y + 5, -2*n + 178 = -12*y + 8*y. What is the remainder when n is divided by 34?
31
Let j = -4 + 8. Let w(s) = s**2 - 2*s - 4. Let k = 280 + -270. Calculate the remainder when k is divided by w(j).
2
Suppose 0 = b - 658 + 648. Calculate the remainder when ((-2)/6)/((-1)/51) is divided by b.
7
Let f = -40 + 108. What is the remainder when f is divided by 23?
22
Suppose 0 = f + p - 14, -f = 4*f + 3*p - 72. Calculate the remainder when 43 is divided by f.
13
Let m = 11 + -2. Calculate the remainder when 25 is divided by m.
7
Calculate the remainder when 1/(-3) - 1545/(-45) is divided by (-6)/(2 + 7/(-3)).
16
Suppose -c + 27 = 2*c. Let i(h) = h + 7*h**2 - h + h**3 + 5*h - h - 4. Calculate the remainder when i(-5) is divided by c.
8
Calculate the remainder when (-6)/(-4) + (-225)/(-6) is divided by 14.
11
Let j = -10 + 14. What is the remainder when (26/6)/((-11)/(-33)) is divided by j?
1
Let c be ((-5)/(-10))/(2/24). Suppose -3*s = 3*f - 9, -c*f = -f - 2*s - 43. Suppose 2*j = -f + 37. Calculate the remainder when 43 is divided by j.
13
Let z = -6 - -11. Suppose 3*f = 15, -142 = -z*u + 2*f + 48. Calculate the remainder when u is divided by 14.
12
Let l(t) = -8 - 5 + 4 - 10*t + 3*t. Calculate the remainder when l(-8) is divided by 16.
15
Let z(p) = -p**2 + 13*p + 7. Calculate the remainder when z(11) is divided by 16.
13
Suppose -2*r - 10 = -2*u - r, -5*u = 2*r - 7. Let k be 1/u - (-5)/3. What is the remainder when (-26)/k*(2 + -4) is divided by 9?
8
Let g(k) = k**2 - 4*k. Let t be g(2). Let f = 100 - t. Suppose -2*r + f = 24. Calculate the remainder when r is divided by 14.
12
Let a(v) = 3*v**2 + 2*v - 1. Let k be a(-3). Suppose 3*y = y + k. What is the remainder when y is divided by 4?
2
Let u = -6 - -8. Suppose -4 = -u*z - 2*z. Calculate the remainder when (-1 + 48)/1*z is divided by 12.
11
Let u be ((-24)/(-30))/(2/25). Let x = 25 - u. Calculate the remainder when 44 is divided by x.
14
Let l = -16 + 18. Suppose 5*g + i - 7 = 2*g, i = 5*g - 17. Suppose -l*a = a - g. Calculate the remainder when a is divided by 1.
0
Suppose -4*k = -11*k + 126. Calculate the remainder when k is divided by 4.
2
Suppose -2*b + 10 = -x, -5*b + 2*x + 15 = -9. Let r be 6*-3*(-2)/b. Suppose 3*i - r = 24. What is the remainder when 20 is divided by i?
9
Let c = 4 - 6. Let k = 30 + c. Calculate the remainder when k is divided by 10.
8
Suppose 78 = 6*s - 30. Calculate the remainder when 28 is divided by s.
10
Suppose h - 3 = 0, -5*h - 68 - 88 = -3*l. What is the remainder when l is divided by 6?
3
Let j(p) = p**2 - p + 7. Let c be j(0). Let o = 21 - c. Calculate the remainder when 41 is divided by o.
13
Let k = -31 - -71. What is the remainder when 155 is divided by k?
35
Let i = 2 - -2. Let d(k) = k**2 - 5*k + 4. Let n be d(4). Suppose -3*r - 12 = n, 0*r + 36 = i*h - 3*r. What is the remainder when h is divided by 4?
2
Let p = 4 - 2. Suppose -5 + 13 = p*r. Calculate the remainder when 3 is divided by ((-8)/r)/(0 - 1).
1
Let c(y) = 3*y + 4. Calculate the remainder when 49 is divided by c(2).
9
Let r = -4 - -8. Suppose -4*b + m + 221 = 0, r*b - 4*m + 2*m = 222. Calculate the remainder when b is divided by (-2)/(3/(114/(-4))).
17
Let b(g) = -g**3 - 5*g**2 + 5*g + 1. Suppose 5*i + 4*m = 3*m + 60, -5*m = 3*i - 36. Let n be (1/(-1))/(2/i). What is the remainder when 20 is divided by b(n)?
6
Let n be (0 - -10)*2/4. Suppose -2*d - 2*d = -k + 40, -n*k - 3*d + 108 = 0. What is the remainder when k is divided by 13?
11
Suppose j + 0*j - 102 = 0. Suppose j = 3*p - 2*v + v, 0 = 4*v - 12. Suppose 3 = 3*q - 5*u - 13, 5*u = q + 8. What is the remainder when p is divided by q?
11
Suppose 2*i - 112 = -0*i. Let y = -36 + i. Calculate the remainder when y is divided by 7.
6
Let p = 19 + -7. Let t be (-169)/(-3) + 3/(-9). Let r = t - 22. What is the remainder when r is divided by p?
10
Suppose v = -2*z + 10 + 8, 4*v + 2*z - 54 = 0. Calculate the remainder when 104 is divided by v.
8
Let l(k) = 5*k + 4*k + 6*k. What is the remainder when l(2) is divided by 8?
6
Suppose 0 = 4*c - 3*c - 21. What is the remainder when c is divided by (-10 - 1)/(-2 + 1)?
10
Suppose 4*l + 226 = 5*y - 10*y, 2*l + 3*y = -112. Let n = 107 + l. Calculate the remainder when n is divided by 67/4 + (-18)/(-72).
14
Suppose 5*t - 3 + 10 = r, -3*r + 3*t + 9 = 0. Suppose -r*z + 60 = z. What is the remainder when 38 is divided by z?
18
Let u = -26 - -40. What is the remainder when 55 is divided by u?
13
Calculate the remainder when (-66 - 1)*(0 + -1) is divided by 23.
21
What is the remainder when ((-12)/9)/(2/(-27)) is divided by 5?
3
Suppose 0 = 4*m + 5*y - 66 - 106, 204 = 4*m - 3*y. Suppose 3*l - m = l. Let s = 241 - 171. What is the remainder when s is divided by l?
22
Let x(k) = -k**3 + 4*k**2 + 7*k - 3. Calculate the remainder when 1/((-2)/(2 - 28)) is divided by x(5).
6
Let w(v) = -3*v**3 - v + 1. Let l be w(1). Calculate the remainder when (-1 + -10)/(l/15) is divided by 6/9 - 220/(-12).
17
Let v = 32 - 20. Suppose -x - i + 3*i = -v, -x + 4*i + 14 = 0. Calculate the remainder when 29 is divided by x.
9
Suppose 0 = -2*j + 4 - 34. Let c = 35 + j. Suppose 5*w + c = 0, -4*b + b + 5*w = -128. What is the remainder when b is divided by 19?
17
Let i(u) = -u**3 + 12*u**2 - 14*u + 15. Calculate the remainder when i(10) is divided by 19.
18
Let h = -57 - -65. What is the remainder when 19 is divided by h?
3
What is the remainder when (-287)/(-4) + -2 - (-3)/12 is divided by 6/15 - (-236)/10?
22
Let p(k) = 2*k - 27. What is the remainder when 53 is divided by p(27)?
26
Suppose -5*s + 3042 = 8*s. What is the remainder when s is divided by 47?
46
Let y be -2*(-2 + (-12)/8). Let u = 20 - y. Let h(s) = s**3 - 3*s**2 - 1. What is the remainder when h(5) is divided by u?
10
Suppose 2*q + 2*f = -4, -f - 4 = 2*q - 3*f. What is the remainder when 17 is divided by (3 + -1)*(q - -5)?
5
Suppose -5*u + 49 + 41 = 0. Let r(w) be the first derivative of 53*w**3/3 + w**2/2 + 2. Calculate the remainder when r(-1) is divided by u.
16
Let s(x) be the third derivative of x**5/60 + 