5*v = s - 69. What is the remainder when s is divided by 25?
23
Suppose y - 78 + 53 = 0. Calculate the remainder when 121 is divided by y.
21
Calculate the remainder when 158 is divided by (384/10)/4*(-40)/(-12).
30
Let o = -72 - -153. Suppose k + 65 = l + 2*l, 3*l + 3*k = o. Suppose -3*h - 4 = -40. Calculate the remainder when l is divided by h.
11
Suppose -5*s + 55 = 5*p, -3*s + 43 = 7*p - 2*p. What is the remainder when 9 is divided by s?
3
Let l = 53 - 34. Suppose -f = -2*f + l. Let h(c) = -9*c**3 + c**2 - c - 1. Calculate the remainder when f is divided by h(-1).
9
Calculate the remainder when (-3 - (-4 + 2))*-35 is divided by 18.
17
Suppose 3*k - 30 = -3*y - 0*y, -5 = -5*k. Let u(d) = -2*d**2 - 6*d. Let w be u(-4). Let g = 27 - w. Calculate the remainder when g is divided by y.
8
Suppose -2*j - 2*j = 5*a + 86, -5*j - 90 = 5*a. Let v = -1 - a. Let c = 21 + -14. What is the remainder when v is divided by c?
6
Let r(c) = -73*c**3 - c**2. Let d be r(-1). Let b = d + -49. Calculate the remainder when b is divided by 13.
10
What is the remainder when 39 is divided by ((-8)/12)/(2/(-42))?
11
Suppose 5*c - 6*c = -8. Calculate the remainder when 71 is divided by c.
7
Let s be (-9)/(-5)*10/3. What is the remainder when 31 is divided by s/30 - (-158)/10?
15
Suppose 2*r = 5*n + 13 + 1, n + 3*r = 4. Let a(c) = -c**3 + 5*c**2 + 5*c + 8. Let x be a(6). What is the remainder when 36 + n + 2 - x is divided by 18?
16
Let v = -4 + 8. What is the remainder when 4/((-120)/(-395)) + (-5)/30 is divided by v?
1
Suppose 16 = -4*s + 36. Suppose 5*h - 3 = -3*u + u, -s*u + 25 = -5*h. Suppose -6 - 26 = -u*r. Calculate the remainder when 30 is divided by r.
6
Suppose 0 = 2*j - 3*j + 8. Suppose 0 = -a - 2, 2*m + 4*a - 5*a - 8 = 0. What is the remainder when j is divided by m?
2
Let w(q) = q + 17. Let p = 13 - 29. Calculate the remainder when w(0) is divided by -2 + p/12*-6.
5
Let t(z) = 9*z**2 - 3*z - 2. Calculate the remainder when t(-2) is divided by 7.
5
Suppose -2*a + 8 = -0*a. Suppose 10*u - 6*u - 12 = 0. What is the remainder when a is divided by u?
1
Let q = 1633 - 1102. Calculate the remainder when 6/(-21) - q/(-21) is divided by (-26)/(0/(-1) - 2).
12
Let q(s) = s**3 - 5*s**2 + 5. Let f be q(5). Suppose -2*d = 2*w - 36, -4*w + 26 = -f*d + 71. What is the remainder when d is divided by 5?
3
Suppose 0 = -n + 4*a + 47 - 14, 0 = -n - 2*a + 21. Calculate the remainder when n is divided by 9.
7
Let p = 6 - 2. Let h be (2/p)/((-7)/(-70)). Suppose h*j - 64 = 31. What is the remainder when 54 is divided by j?
16
Suppose -h + 83 = 3*r + 3*h, -4*r - 2*h = -114. Let c be 30/(-1 + (-5)/(-2)). Suppose -c = -4*p + 20. What is the remainder when r is divided by p?
9
Suppose 2*q + 2*q = 2*o + 10, -2*o + 18 = 3*q. Let d = 1 - -4. Calculate the remainder when d is divided by o.
2
Let u(m) = -m + 22. What is the remainder when 21 is divided by u(10)?
9
Suppose 0 = 5*u - x - 471, 4*u + 7*x = 5*x + 374. Calculate the remainder when u is divided by 17.
9
Let a = 25 - 9. Let u = 5 - -40. Calculate the remainder when u is divided by a.
13
Let m(r) = 104*r - 1. Let z be m(1). Suppose -3*n = -2*u - 0*n + 49, -n - z = -4*u. Calculate the remainder when u is divided by 9/(-15)*-1*15.
8
Let x(u) = u**3 + 17*u**2 + 14*u - 18. What is the remainder when 40 is divided by x(-16)?
12
Suppose -2*j + 5*o + 61 = 0, 0*j - j = 5*o + 7. Calculate the remainder when j is divided by 7.
4
Let l = 40 + -17. Calculate the remainder when 91 is divided by l.
22
Suppose 4*z = 2*p + z - 44, 5*p - 2*z - 121 = 0. Let f(o) = 3*o**2 - 5*o - 3. What is the remainder when p is divided by f(3)?
7
Suppose r = m + 9, 5*r - 4*m = -0*r + 45. Let g = 0 - -4. Suppose 0 = 2*o - 4*a + g - 22, 5*o - 2*a = 69. What is the remainder when o is divided by r?
6
Let n(p) = 14*p**2 - 2*p + 1. Calculate the remainder when 73 is divided by n(1).
8
Suppose -2*z - 3*j = -3, 4*z + 6*j - 8 = 2*j. Let h(t) = 3*t + 4. What is the remainder when h(z) is divided by 4?
1
Let t(m) = -4*m + 14 + 2*m**2 - 14 - 16. Calculate the remainder when t(7) is divided by 19.
16
Let t(i) be the first derivative of i**3/3 + 3*i**2/2 - 2*i - 1. Suppose 4*q = 2*q + 46. Calculate the remainder when q is divided by t(-5).
7
Suppose 4*w = 123 - 27. What is the remainder when w is divided by 9?
6
Suppose -5*n + 9 + 1 = 0. Calculate the remainder when 7 is divided by n.
1
Let n(g) = -2*g + 4. Let c = -9 + 6. Let t be n(c). Suppose -4*r + t = r. Calculate the remainder when r is divided by 2.
0
Let w = 29 - 13. What is the remainder when -94*(5/(-2) + 2) is divided by w?
15
Suppose 3*i - 5 = 4*n + 113, 4*i = -5*n + 147. What is the remainder when i is divided by 15?
8
Calculate the remainder when 53 is divided by (63/(-3))/((-3)/2).
11
Let g be (-15)/((-9)/(-6) + 0). What is the remainder when 13 is divided by (-5)/(-2)*(-32)/g?
5
Let i(c) = -c**2 + 10*c. Suppose 0 = 5*g - 50 - 30. What is the remainder when g is divided by i(9)?
7
Let s = -2 + 4. Suppose a - 6 = 3*l + s*l, 5*l - 3*a - 2 = 0. Calculate the remainder when (-1)/(-2) + (-33)/l is divided by 9.
8
Suppose q - 18 = -2*y, -7*y + 6*y = -4*q. Suppose 4*b = 13 - 5. Let h(j) = 3*j**3 + j**2 - 4*j + 3. What is the remainder when h(b) is divided by y?
7
Suppose -g + 287 = 6*g. Calculate the remainder when 163 is divided by g.
40
Let v(s) = -2*s**3 + 7*s**2 + 9*s - 3. Let k be v(7). Let d be 3/(-4) - k/4. Suppose 0 = 3*m - m - d. What is the remainder when m is divided by 18?
17
Let n = -1 - -1. Suppose -5*a - 2*r - 20 = n, 4 = -a - r + 3*r. What is the remainder when (-88)/a*1/1 is divided by 6?
4
Suppose 2*o + 0*o - 40 = 4*c, 132 = 4*o + 5*c. What is the remainder when o is divided by 10?
8
Suppose -5*l = -22 - 8. Suppose -l = -c + 3*f, -5*f = -c - 3*f + 5. Calculate the remainder when c is divided by 2.
1
Suppose -4*y - 6*a = -a - 31, 2*y - 5 = a. Suppose 1 = -3*x + 5*t + 50, -2*x - y*t + 18 = 0. What is the remainder when x is divided by 4/6*(-168)/(-16)?
6
Let g = -8 - -4. Let l be 6/8 - (-3)/g. What is the remainder when (-4 - -2) + (l - -37) is divided by 12?
11
What is the remainder when ((-6)/(-9) - (-2244)/9) + 3 is divided by 64?
61
Let r(s) = -4*s. Let c be r(-2). Suppose 5*z - 4*u = -0*z + 11, -4*z - 4*u - 20 = 0. Let f = c - z. What is the remainder when f is divided by 5?
4
Suppose -24 = -w + 4*j, -2*w + 0*w - 2*j = -18. Calculate the remainder when w is divided by 5.
2
Suppose 3*q + 22 = 4*w - 3*w, -3*w + 18 = -q. Let n = 17 + -5. Let o = n + q. Calculate the remainder when 11 is divided by o.
5
Let p = -186 + 206. Let a be ((-22)/2)/(-2 - -1). Calculate the remainder when p is divided by (-1 - 1)*a/(-2).
9
Calculate the remainder when -2 - ((-760)/18 - 6/(-27)) is divided by 23.
17
Calculate the remainder when (-11)/(69*3/(-51) + 4) is divided by 10.
7
Let j = -15 + 21. What is the remainder when j is divided by 3?
0
Let b(p) be the second derivative of p**5/20 + p**4/2 + p**3/3 - 3*p**2/2 - 5*p. Calculate the remainder when 22 is divided by b(-5).
10
Suppose 60 = 4*s + s. Let u(b) = 22*b**2 - b + 1. What is the remainder when u(1) is divided by s?
10
Suppose -2*d + 22 = 2*i, -d - 10 = -3*d. Suppose -33 - i = -3*k. Calculate the remainder when 35 is divided by k.
9
Let f(o) = o**2 - o - 7. Let a be f(4). Suppose 0 = -4*r + 9*r - a. Calculate the remainder when 1 is divided by r.
0
Suppose -5*g + 70 + 35 = 0. Suppose -s - 3*s + t = 6, -s - 3*t - 8 = 0. Let x = g + s. What is the remainder when x is divided by 11?
8
Let t = 108 - 59. What is the remainder when t is divided by 28?
21
Suppose n - 71 = -0*n - 4*d, 4*n = -4*d + 344. What is the remainder when n is divided by 48?
43
Let t = -29 + 40. Calculate the remainder when 26 is divided by t.
4
Let p(s) = s**2 - 9*s - 14. Calculate the remainder when p(14) is divided by 30.
26
Let a be (56/(-42))/((-4)/6). Suppose -a*h = -4*h + 58. Calculate the remainder when h is divided by 15.
14
What is the remainder when (4 + -8 - -5) + 6 is divided by 3?
1
Let n(y) = -y**2 + 4*y - 6. Let l be n(5). Let h(w) = w**2 + 10*w - 1. Calculate the remainder when 27 is divided by h(l).
7
Suppose -h - 2*h - i + 43 = 0, -10 = -h + 4*i. Let t(f) = -f**3 - 5*f**2 + 6*f + 8. Calculate the remainder when h is divided by t(-6).
6
Suppose 5*c - 76 = -3*q, -2*c - q + 9