 by v?
1
Let v = 13 + -1. Calculate the remainder when 23 is divided by v.
11
Suppose 4*n - 4 = 4*j, 5*n + 6*j - 32 = 2*j. Let m = n - -5. Let a(x) = -x**3 + 4*x**2 + 3*x - 1. Calculate the remainder when a(3) is divided by m.
8
Suppose 22 = -2*a + 138. Calculate the remainder when a is divided by 20.
18
Let w(d) = -2*d**2 - d + 6. Let v be w(-5). Let s = 67 + v. Suppose -1 = -3*b + 2, 0 = 2*z + 3*b - 33. Calculate the remainder when s is divided by z.
13
Suppose -185 = -5*x + 2*r - 7*r, 0 = 3*x - 3*r - 141. Calculate the remainder when 166 is divided by x.
40
Let p be (1/3)/((-11)/(-33)). Let g = p - -3. What is the remainder when 6 is divided by g?
2
What is the remainder when (-3 - 1) + 603/9 is divided by 16?
15
Let b be (42/(-12))/(2/(-4)). Let f = b - -5. Let r = 22 + -1. What is the remainder when r is divided by f?
9
Suppose -5*z - 6 = -111. Calculate the remainder when z is divided by 2.
1
Suppose -2*i + 4*d = -46, d - 7 = i + 5*d. Let c(l) = l**3 - 8*l**2 + 10. Let o be c(8). What is the remainder when ((-18)/o + 1)*-45 is divided by i?
10
Suppose -4*j + 40 + 63 = u, -j + 27 = -u. Suppose 0 = s - 28 - 1. Suppose -s = -3*y - 2. Calculate the remainder when j is divided by y.
8
Suppose 0 = 12*u - 96 - 84. Calculate the remainder when 26 is divided by u.
11
Let q(f) = f**2 + 11*f - 22. Calculate the remainder when 22 is divided by q(-13).
2
Suppose 0 = -3*w - 6 + 75. Suppose 3*p - 32 = -p. What is the remainder when w is divided by p?
7
Let y = 12 - 2. Calculate the remainder when 39 is divided by y.
9
Let x(l) = -l + 9. Let g be x(7). Suppose 5*f = 3*s + s - 24, -f - g*s - 2 = 0. Let t = 22 + f. What is the remainder when t is divided by 10?
8
Let w(l) = -4*l - 6. Let h = 62 - 57. What is the remainder when w(-6) is divided by h?
3
What is the remainder when 174 is divided by (50/4 - 7)*(1 - -3)?
20
Suppose -123 = -s - 0*s. Let d(w) = 15*w - 1. What is the remainder when s/(2 + 1) + 0 is divided by d(1)?
13
Suppose -2*m + 7*m - 1459 = 4*l, -l - 349 = 4*m. Let f = 506 + l. Suppose -6*n + f = -n. What is the remainder when n is divided by 10?
9
Suppose 2*r = o - 33 - 27, 5*r + 148 = 3*o. Let b = r + 46. Calculate the remainder when 39 is divided by b.
11
Let o = -4 - -9. Suppose -3 = o*z - 23. Suppose 0 = x - z*x + 18. What is the remainder when 21 is divided by x?
3
Let n(w) = -4 - 2*w + 5 - 4. Calculate the remainder when n(-8) is divided by 5.
3
Let y = 185 - 61. Calculate the remainder when y is divided by 21.
19
Suppose 3*i = 11*i - 128. Calculate the remainder when 31 is divided by i.
15
Let m = -750 + 344. What is the remainder when 4/10 - m/10 is divided by (-4)/18 - (-256)/18?
13
Suppose 8*m = 10*m - 54. What is the remainder when m is divided by 17?
10
Suppose 2*z + 4*t - 142 = 0, -3*t = -0 - 3. Let y(m) = 2*m**2 + 16*m + 24. Calculate the remainder when z is divided by y(-8).
21
Suppose i - 4*y - 39 = 0, 0 = 3*y + 2*y + 25. Let w = i - 7. What is the remainder when 45 is divided by w?
9
Let w = 4 + -3. Let c be ((-6)/(-4))/(w/(-2)). Let q(v) = -v**2 - 3*v + 1. What is the remainder when 1 is divided by q(c)?
0
Let m(j) = 18*j**2 + 2*j. Calculate the remainder when m(-1) is divided by 2.
0
Let n = 62 - 32. Calculate the remainder when n is divided by 8.
6
Let q be 0 + 0 + 0/2. Let j = 6 + q. Let z = -11 - -28. What is the remainder when z is divided by j?
5
Suppose 0 = v + 2*s + 10 - 2, 0 = -2*v + 3*s - 9. What is the remainder when 23 is divided by 2/(v/(-27)) + -1?
7
Let y = -5 - -2. Calculate the remainder when -10*(y - 10/(-4)) is divided by 4.
1
Let f = 127 + -10. Calculate the remainder when f is divided by 17.
15
Calculate the remainder when 55 is divided by 6/(-21) - (-198)/7.
27
Let v(l) = -l**2 + 10*l + 4. Calculate the remainder when v(5) is divided by 12.
5
Suppose 2*d + 2*d = 12. Suppose 8*m = d*m - 5*j + 55, m + 2*j - 6 = 0. What is the remainder when m is divided by 9?
7
Suppose -48 = -2*k + 5*u - 16, 64 = 4*k + 4*u. Calculate the remainder when 30 is divided by k.
14
Suppose 0*j = -5*x - 4*j + 98, -3*j = -x + 12. Let r(l) = -l**3 + l**2 + l + 8. Let h be r(0). Let p = x - h. Calculate the remainder when 28 is divided by p.
8
Let p(m) = 5*m + 4. What is the remainder when p(6) is divided by 9?
7
Let f = -68 + 91. Calculate the remainder when f is divided by 5.
3
Suppose 5*i = -3*r + 479, -r = r + 4. Calculate the remainder when i is divided by 25.
22
Let z(b) = -b**3 - 22*b**2 - 21*b + 17. Suppose w = 4*w - d - 153, 2*w = -2*d + 94. Calculate the remainder when w is divided by z(-21).
16
Suppose 54 = -5*g + 194. Calculate the remainder when g is divided by 10.
8
Suppose -6 + 46 = -2*v. Let m = v - -38. Calculate the remainder when 34 is divided by m.
16
Suppose -3*t = -2*t - 14. What is the remainder when 59/1 + (0 - 7) + 3 is divided by t?
13
Suppose 4 = a + a. Suppose -4*q = -x + 106, a*x + 65 = 2*q + 247. Calculate the remainder when x is divided by 22.
20
Suppose -2*z + 5*z - 6 = -4*r, 0 = -4*z - 5*r + 7. Let y be (3/z)/((-15)/40). Suppose y*q = -0*q + 76. Calculate the remainder when q is divided by 10.
9
Let o(a) = -2*a**3 - 12*a**2 - 8*a - 10. Calculate the remainder when o(-6) is divided by 21.
17
Suppose -4*o - 9 = -7*o. Suppose -2*l + 9 = -o. Let k = 12 - 8. Calculate the remainder when l is divided by k.
2
Let p = -13 - -23. Suppose -5*n = -p - 40. Calculate the remainder when 18 is divided by n.
8
Let v(q) = -q**2 + 10*q + 1. Let u(z) = 3*z - 9. Calculate the remainder when v(9) is divided by u(4).
1
Let c(h) = -2*h**3 + 4*h**2 + h - 2. Calculate the remainder when c(-3) is divided by 29.
27
Suppose 705 = 5*w + 2*g, 0*w + 2*w - 4*g - 282 = 0. Let m = w - 85. What is the remainder when m is divided by 19?
18
Suppose -101 - 34 = -3*j. Suppose 36 = -2*z + 8. Let f = z + 30. Calculate the remainder when j is divided by f.
13
Suppose 0 = x - 6 - 0. What is the remainder when x is divided by 3?
0
Suppose -455 = -p - 4*p. Suppose 181 + p = 4*c. What is the remainder when c is divided by 23?
22
Let n = 209 - 117. Calculate the remainder when n is divided by 32.
28
Suppose -10 - 15 = -5*g. Let r = -1 - g. Calculate the remainder when 10 is divided by (36/(-15))/(r/15).
4
Suppose 3*w = 4*t - 6*t + 48, 0 = 4*w - 8. Calculate the remainder when t is divided by 3.
0
Suppose -5*y = -2*y + 9, -4*c = -y - 235. Calculate the remainder when c is divided by 15.
13
Let r(z) = -z**2 - z + 32. Let c be r(0). Suppose -4*p - 4 = 0, -4*q + 5*p + 97 - c = 0. Calculate the remainder when q is divided by 6.
3
Let t(h) = -h**2 + 7*h - 2. Let x = 10 - 4. Let i(u) = -u + 1. Calculate the remainder when t(x) is divided by i(-1).
0
Let t = 344 - 221. Calculate the remainder when t is divided by 25.
23
Let b be 76/12 + 4/6. Let d = b + -11. What is the remainder when 13 is divided by (-2)/d + 18/4?
3
Suppose 0 = 3*l - 12. Calculate the remainder when 14 is divided by l.
2
Suppose 0 = -f - 2, 3*z = -0*z + 2*f + 64. What is the remainder when z is divided by -11*(-2)/(-4)*-2?
9
Calculate the remainder when 42 is divided by 0 - (-14 - (-2)/(-2)).
12
Let w(i) = i**3 - 8*i**2 - 8*i + 6. Let k be w(9). Suppose k = j - 4. What is the remainder when 55 is divided by j?
17
Suppose -58*z = -64*z + 126. Calculate the remainder when 272 is divided by z.
20
Suppose -9 = -o - 0. Suppose 0 = 3*w - 2*w, -3*b + 9 = 4*w. What is the remainder when o is divided by b?
0
Let p = 21 - 3. What is the remainder when 51 is divided by p?
15
Let x(a) = -a**3 + 2*a**2 + 9*a + 1. What is the remainder when 5 is divided by x(4)?
0
Let z = 3 + -3. Let l(m) = -m**3 + 7. Calculate the remainder when l(z) is divided by 3.
1
Let u = 508 - 347. What is the remainder when u is divided by 41?
38
Suppose 44 = d + 5*m, 0 = 4*d + 2*m + 3*m - 116. Calculate the remainder when 140 is divided by d.
20
Suppose 2*n = -n + 12. Suppose -3*t + 6 = 2*u - n*u, 15 = 3*t + u. Suppose 6 = t*g - 2*g. What is the remainder when g is divided by 3?
0
Let b = -142 - -201. What is the remainder when b is divided by 32?
27
Suppose 2*j + 12 = 3*j. Let h(s) = s**3 - 11*s**2 - 7*s - 14. Suppose 5*z - 27 = 93. Calculate the remainder when h(j) is divided by z.
22
Suppose 0 = -3*v - 5*u + 105, -3*u = -0*v - 5*v + 209. What is the remainder when v is divided by 14?
12
Let w(b) = b**2 - 7*b - 15.