 divided by 31.
30
Let p(m) = 19*m - 1. Calculate the remainder when p(1) is divided by 44/22 + (-6)/(-2).
3
Let i = -4 - -13. Calculate the remainder when 25 is divided by i.
7
What is the remainder when 49 is divided by 6/21 + (-173)/(-7)?
24
Let u(n) = 4*n**2 + 3*n + 1. Let x(j) = -j + 2. Let q be x(0). Suppose 0 = -z + 6 - q. Calculate the remainder when u(-2) is divided by z.
3
Let r = -109 + 192. Let g = 94 + -133. Let q = g + r. Calculate the remainder when q is divided by 15.
14
Suppose 0*r - 3*r - s + 70 = 0, 2*s = 8. Calculate the remainder when r is divided by (-12)/(-10)*(-20)/(-3).
6
Let l = -8 - -7. What is the remainder when 9 is divided by (l/(-3))/((-5)/(-45))?
0
Let u(v) = -v**2 - 12*v - 5. Let h = 38 - 22. Calculate the remainder when u(-5) is divided by h.
14
Let m(i) = i**3 - 10*i**2 + 12*i - 4. What is the remainder when m(9) is divided by 6?
5
Let h(u) = -u**3 - 3*u**2 - 2. Let f = 4 - 6. What is the remainder when -6*(-2 - (-5)/f) is divided by h(-4)?
13
Let w(j) = j**3 - 5*j**2 + 1. Let x be -2*(0 - (-15)/(-6)). Suppose -3 = -6*g + 3*g. What is the remainder when g is divided by w(x)?
0
Let h(t) be the second derivative of -t**3/6 - t**2/2 - 3*t. What is the remainder when 35 is divided by h(-13)?
11
Let i = 187 + -132. What is the remainder when i is divided by 12?
7
Let j = -80 - -130. Calculate the remainder when j is divided by ((-13)/(-2))/((-3)/(-6)).
11
Suppose 5 = -4*z - 15. Suppose h = -0*h + 38. What is the remainder when h is divided by -2*((-65)/(-2))/z?
12
Let o be (-1)/(-4) + 1253/28. Suppose -4*q + 75 = -o. What is the remainder when q is divided by 16?
14
Let r = 1 + 2. Suppose 0*m + r = m. Suppose 0 = 5*q - 4*l - 13, 4*q - m - 11 = 2*l. Calculate the remainder when q is divided by 2.
1
Suppose -4 = -4*t - 4*q + 4, 2*t - 24 = 2*q. Let f = t - 5. What is the remainder when 47 is divided by (-14 + f)*(-8)/6?
15
Let a(w) = w**3 + 5*w**2 + w - 2. What is the remainder when 39 is divided by a(-4)?
9
Suppose 0 = -2*t + t + 4*b - 8, -t - b + 7 = 0. Suppose t*j - 170 = 3*j. Suppose -x + 6*x = j. Calculate the remainder when x is divided by 18.
16
Suppose -2*z - 44 = -6*z - 4*a, -5*a - 26 = -4*z. Calculate the remainder when 240 is divided by z.
6
Let t be (3/9)/((-1)/(-3)). Let h(w) = 32*w**3 - w**2 + 2*w - 1. What is the remainder when h(t) is divided by 11?
10
Let g(t) = 4*t - 1. What is the remainder when 37 is divided by g(5)?
18
Calculate the remainder when 46 is divided by (-9 - 15)/(0 + -2).
10
Suppose -1 = -v, 4*w - v + 4*v - 71 = 0. Calculate the remainder when 33 is divided by w.
16
Let g = -131 - -165. What is the remainder when 116 is divided by g?
14
Suppose 0 = 8*l - 32 - 72. What is the remainder when 36 is divided by l?
10
Suppose 3*m = 8*m - 70. Let y = 36 - -17. Calculate the remainder when y is divided by m.
11
Suppose 3*z + z - 148 = 0. Let g = 66 - z. What is the remainder when g is divided by 10?
9
Let l(a) = a**3 + 2*a**2 + a - 2. Let i be (-26)/(-5) - (-3)/(-15). Suppose -16 = -i*o + 29. What is the remainder when l(2) is divided by o?
7
Let u = -2 + 7. Suppose -x + 36 = 2*w, -w = -u*x - 0*x - 18. Suppose -h = -k - 52, 3*h - h - 104 = k. What is the remainder when h is divided by w?
16
Suppose 0 = 3*l - 2*i + 6*i - 41, -i + 34 = 2*l. Suppose 0 = 2*x - 5*x + 168. What is the remainder when x is divided by l?
18
Let u = 218 - 115. What is the remainder when u is divided by 27?
22
Suppose -j = -0*n + 2*n - 82, 4*n = 2*j + 180. Calculate the remainder when n is divided by 15.
13
Let c = 114 - 53. What is the remainder when c is divided by 31?
30
Let q = 8 - 5. Suppose q*t + 20 = 7*t. Let b(u) = -3*u - 3. What is the remainder when b(-4) is divided by t?
4
Suppose 2*m - 3*j - 20 = 0, -5*m + j + 50 = 2*j. Suppose 2 = c - 2. Suppose f = c*f - 57. Calculate the remainder when f is divided by m.
9
Suppose 3*p + 8*i + 6 = 3*i, 0 = 2*i. Let j(c) = c**3 + 2*c**2 - 2*c - 1. Calculate the remainder when 9 is divided by j(p).
0
Suppose -w + 0 + 1 = 3*a, -4*w + 44 = 2*a. Calculate the remainder when 48 is divided by w.
9
Suppose -2*k - 118 = -a - 3*a, -3*k = -3*a + 90. What is the remainder when a is divided by ((-104)/63 - (-4)/18)*-7?
9
Suppose -9*q = 2*q - 165. Suppose 37 = -5*k + 242. Calculate the remainder when k is divided by q.
11
Suppose 14*o - 12*o = 24. Calculate the remainder when 23 is divided by o.
11
Let w(v) = -44*v. Calculate the remainder when w(-1) is divided by 23.
21
Suppose 0 = -4*p + p - 3. Let g(f) be the first derivative of -21*f**4/2 - f**2 - f + 2. What is the remainder when g(p) is divided by 15?
13
Suppose -5*y - 8 = -h + 3*h, -y = 4*h - 20. Suppose 2*f + h = 4*o, -o + 19 = 2*f + f. Calculate the remainder when ((-8)/3)/(8/(-36)) is divided by f.
2
Let j(r) = 2*r**3 - 5*r**2 - r - 2. Let l be j(4). Let p = l + -22. Calculate the remainder when p is divided by -1 - 1/(2/(-16)).
6
Suppose 2*c + 2*f + 2 = -0, -c + f + 1 = 0. Suppose -5*w = 4*s - 103, -5*w + 5*s + 175 - 45 = c. Calculate the remainder when w is divided by 8.
7
Let n(v) = 3 - v - 12 - 5*v + 9*v**2 - v**3. Let l be n(8). Suppose 0 = -3*m - l + 94. Calculate the remainder when m is divided by 15.
14
Suppose 10*z = 12*z - 12. Calculate the remainder when 17 is divided by z.
5
Suppose 0*o + 5*f + 116 = o, -4*f - 111 = -o. Suppose -4*x = 5*u - 159, 4*x = 5*u + 3*x - 154. Calculate the remainder when o is divided by u.
29
Let w(u) be the first derivative of u**3/3 - 2*u**2 - 3*u + 3. Let f be w(-3). Let h = f - 5. Calculate the remainder when 37 is divided by h.
11
Suppose -4 = -n + 5*q, 4*q + 56 = 3*n - 0*q. Calculate the remainder when n is divided by 9.
6
Suppose -5*s - 100 = -2*h, 0 = s - 5*s + 2*h - 82. What is the remainder when (-554)/s + (-4)/(-18) is divided by 44/4*(-2)/(-2)?
9
Let s(w) = w**3 + 8*w**2 + w + 10. Let a = 34 + -18. Suppose 4*g = 6*g + a. What is the remainder when 2 is divided by s(g)?
0
Let a(m) = -24*m + 1. Let b(u) = -2*u**2 + 15*u + 6. Calculate the remainder when a(-1) is divided by b(7).
12
Let p be -1*3 + (2 - 1). Let c(f) = -6*f - 4 + 0 + 2 + f. What is the remainder when c(p) is divided by 5?
3
What is the remainder when 26 is divided by -2 + (-21)/28 + 75/4?
10
Let j = -49 + 84. What is the remainder when j is divided by 8?
3
Let h(p) = -p**2 - 8*p + 9. Calculate the remainder when 60 is divided by h(-6).
18
Suppose 5*w - 4*x - 309 = 0, 5*w + x - 121 = 3*w. Calculate the remainder when w is divided by 16.
13
Let i(q) = 2*q - 6. Let u be i(5). Suppose t + u*t - 15 = 0. What is the remainder when 3*(14/t)/1 is divided by 4?
2
Suppose 5*u - 101 + 11 = 5*c, -c = -5*u + 74. Calculate the remainder when u is divided by 4.
2
Let r(n) = 7*n + 4. Calculate the remainder when 30 is divided by r(1).
8
Suppose 0 = -6*c - c + 35. What is the remainder when 26 is divided by c?
1
Let u be (-10)/(-14) - (-8)/28. Suppose c + 2 = u, -4*v + 369 = -c. What is the remainder when v is divided by 19?
16
Let t(n) = 4*n**2 - n. Let b(f) = -f**2 + 29*f - 21. Calculate the remainder when b(28) is divided by t(-1).
2
Calculate the remainder when (-2)/14 + (-226)/(-14) is divided by (-6)/(1 + 4/(-2)).
4
Let x = 297 - 178. What is the remainder when x is divided by 30?
29
Let n(l) = l**2 + 3*l - 11. What is the remainder when n(-6) is divided by 4?
3
Calculate the remainder when 41 is divided by (-1)/(-5) - 345/(-25).
13
Calculate the remainder when 614/11 + 38/209 is divided by 15.
11
Let g(m) = -m**2 + 4*m + 4. Let v be g(4). Suppose 2*r = -0*w + 2*w + v, 0 = -3*r - 9. Let z(y) = -3*y - 2. What is the remainder when z(w) is divided by 7?
6
Let a(q) = 3*q**2 + 5*q + 2. Let w(c) = 4*c + c**3 - 3*c**2 - 3 - 2*c**2 + 0*c**3 + 4*c**2. What is the remainder when w(3) is divided by a(-3)?
13
Let s = 52 + -39. Calculate the remainder when 50 is divided by s.
11
Let l(h) = h**2 - 6*h - 6. Let g be l(7). What is the remainder when g/(-2) + (-174)/(-4) is divided by 23?
20
Let q(x) = x**2 - 5*x - 4. Let a be (-2)/(-11) - 4779/(-33). Suppose a = 3*j + 2*j. Calculate the remainder when j is divided by q(7).
9
Suppose 0 = -n + 2*c + 15, 2*c - 13 = -2*n - 1. Suppose 29*f + 34 = 31*f. Calculate the remainder when f is divided by n.
8
Suppose -2*z + 2*s + 292 = 0, 3*s + 3 = -9. What is the remainder when z is divided by 18?