 Let w = 2 + y. What is the remainder when 23 is divided by c(w)?
7
Let p(w) = 16*w - 5. What is the remainder when p(2) is divided by 14?
13
Let c(m) = -m**3 - 16*m**2 + 14*m - 24. What is the remainder when c(-17) is divided by 10?
7
Suppose 4*u + 6 + 1 = 5*i, i + 5 = 4*u. Suppose -8 - 12 = -3*b + r, -3*b + 23 = u*r. What is the remainder when b is divided by 3?
1
Let y = 5 + 1. Suppose y*z = z + 20. What is the remainder when 26 is divided by 21/(2/z + 1)?
12
Suppose -4*p = 3*i - 81 - 50, 0 = -4*p - i + 137. Let a(y) = -y**3 + 7*y**2 + 11*y - 12. What is the remainder when p is divided by a(8)?
11
Let x = 16 + -3. Calculate the remainder when x is divided by 7.
6
Suppose -3*g = x + 22, -3*x - 4*g - 30 = -7*g. Let h = x - -1. What is the remainder when 23 is divided by (h/(-5))/(9/30)?
7
Let y = -34 - -75. What is the remainder when y is divided by 11?
8
Let f be (-11)/(-2) - 6/4. Let r be 20/f - (1 + 0). What is the remainder when (-2)/r + 185/10 is divided by 10?
8
Let i = 17 - -14. Calculate the remainder when i is divided by 16.
15
Suppose -69 = -3*p + 3*c, 0 = -0*p + 4*p + 3*c - 113. Calculate the remainder when p is divided by 9.
8
Let x = -10 - -20. Let p(c) = -c**2 + 12*c - 3. What is the remainder when 66 is divided by p(x)?
15
Suppose 11*o = -5*o + 192. Let d(y) = y**2 + y + 33. Calculate the remainder when d(0) is divided by o.
9
Suppose 0 = u + 3*u - 36. Suppose -8*y + 3*y = 25. Let t = 21 + y. What is the remainder when t is divided by u?
7
Let k = 0 - -5. Suppose 0*x + 12*x - 48 = 0. Suppose -z - x*o = -2*o - 28, z = k*o + 7. Calculate the remainder when z is divided by 12.
10
Let c(g) = g**3 + 12*g**2 + 12*g + 10. Let m be c(-11). Let y be (-1 - 2)/(0 - m). Let v(j) = -2*j**3 + 4. What is the remainder when v(y) is divided by 20?
18
Let m = 14 + -9. Let c = m + -2. Suppose 0 = -3*q + 10 + 2. What is the remainder when q is divided by c?
1
Suppose 2*u + 4*m = 52, -3*m + 94 = u + 3*u. What is the remainder when 439/7 - 4/(-14) is divided by u?
19
Let n be 0/(-2*1 + 1). Let b be 4/(-8)*2*-2. Suppose -2*y - b*y + 24 = n. Calculate the remainder when 16 is divided by y.
4
Let m = 36 - 26. What is the remainder when 18 is divided by m?
8
Suppose 0 = -0*b - 5*b - 3*h + 40, 0 = 3*h - 15. Suppose -2*v + 5 = -b. What is the remainder when 29 is divided by v?
4
Let a = 40 + 4. What is the remainder when a is divided by 23?
21
Calculate the remainder when 144/64*(21 + -1) is divided by 16.
13
Let f(y) = -y**2 + 5*y. What is the remainder when ((-2)/(-4) + -1)*-10 is divided by f(4)?
1
Let k = 17 + 17. Suppose 16 = -4*m, u - 6*u - 4*m = -k. Suppose 3*h = o + 4 - 23, -5*h = 5*o - 155. Calculate the remainder when o is divided by u.
8
Suppose q + 4*p + 6 = 0, 3*q = -4*p + 4 + 2. Suppose 0*v = 5*f + 3*v - 95, v - 69 = -4*f. What is the remainder when f is divided by q?
4
Let q be (8/10)/((-2)/(-5)). Let o = -5 + q. What is the remainder when 20 is divided by (0 + 33/(-9))*o?
9
Suppose -4*z = -2*p + 6*p, p + 5*z = -12. Suppose -5*f + p*f - 12 = -2*h, -5*f = 0. Calculate the remainder when 21 is divided by h.
3
Suppose 0 = 5*m - 5, -3*m - 43 = -2*v - 0*v. Suppose 0 = -3*n + 24. What is the remainder when v is divided by n?
7
Let c(x) be the second derivative of x**5/10 + 3*x. Let w be c(-1). Calculate the remainder when 14 is divided by 6/(0 + 3) - w.
2
Let b(l) = -l**2 + 2*l + 24. Calculate the remainder when 47 is divided by b(0).
23
Let m(w) = 11*w + 1. Calculate the remainder when m(4) is divided by 17.
11
Suppose -19 + 3 = -y. Calculate the remainder when 30 is divided by y.
14
Let y(z) = z + 8. Let r be y(-5). Suppose 4*l + d = -0*l + 109, 78 = r*l - 3*d. Let p = l - -10. Calculate the remainder when p is divided by 13.
11
Suppose 4*g = g + 75. What is the remainder when g is divided by 9?
7
What is the remainder when (-5)/5*(-3 + -8) is divided by 3?
2
Suppose 0 = -30*q + 35*q - 220. Calculate the remainder when q is divided by 24.
20
Calculate the remainder when (1 + -3)/((-2)/5) is divided by 2.
1
Let n be (-21)/14*(-8)/6. Calculate the remainder when 31 is divided by n*4 - (-9 + 6).
9
Let o(i) = i**3 - 5*i**2 - 2*i + 1. Suppose -2*j + 49 = 5*f, -35 + 103 = 3*j + 2*f. What is the remainder when o(7) is divided by j?
19
Suppose 28 = 6*f - 2*f. Calculate the remainder when 25 is divided by f.
4
Let f(s) = 8*s - 16. What is the remainder when 188 is divided by f(8)?
44
Let m = 2 + 17. Calculate the remainder when m is divided by 11.
8
Suppose -3*h + 6*u - 2*u = -25, 4*h + 4*u + 4 = 0. Calculate the remainder when 19 is divided by h.
1
Calculate the remainder when 32/6 + (-2)/(-3) is divided by 2.
0
Let y = -12 + 22. Calculate the remainder when 17 is divided by y.
7
Suppose 0 = -k - 0*k + 3. Let p be (1 + 2)*(-16)/k. Let g = -10 - p. Calculate the remainder when 11 is divided by g.
5
Let b(s) = -5*s**3 - 3*s**2 - 4. Calculate the remainder when 118 is divided by b(-2).
22
Let i(q) = 2*q + 5. Let h(x) = 3*x**3 - 2*x**3 - 7*x**2 + 9*x - 11*x + 2 + 5. Calculate the remainder when h(8) is divided by i(7).
17
Suppose 7*k - 3*k = -2*h + 20, -12 = -3*h. Calculate the remainder when 16 is divided by k.
1
Let z(w) = 3*w**2 + 4*w + 3. What is the remainder when z(-2) is divided by 3?
1
Suppose -2*k = 3*k - 55. Let a = 1 + -5. Let d = 25 + a. Calculate the remainder when d is divided by k.
10
Let l(b) = 5*b - 24. Suppose 4*s - 9 = -4*y - 1, 0 = 2*s + 4*y + 4. Calculate the remainder when l(7) is divided by s.
5
Let z(h) = -2*h. Let q be z(2). Calculate the remainder when 58 is divided by (q + (-3 - -12))*4.
18
What is the remainder when 4 - ((-12)/(-42) - 9/7) is divided by 2?
1
Let y = 40 - 20. What is the remainder when 97 is divided by y?
17
Let f = 91 - 21. Calculate the remainder when f is divided by 18.
16
Suppose -2*a - 4*j = -5*a - 269, a + 4*j = -63. Suppose 569 = 4*n - 5*k, 4*n - 2*k = -k + 565. Let s = n + a. What is the remainder when s is divided by 20?
18
Let d = -92 + 112. What is the remainder when d is divided by 6?
2
Let n = 19 + -14. Suppose -17 = 4*c - 1, -n*g + 15 = 5*c. Calculate the remainder when g is divided by 2.
1
Suppose 3*h + 352 = 4*f, 4*h + 356 = -4*f + 8*f. Calculate the remainder when f is divided by 18.
13
Suppose -b - q + 41 = 0, -4*b = -q + 6*q - 166. Calculate the remainder when b is divided by 14.
11
Suppose -20 = 51*z - 52*z. What is the remainder when 197 is divided by z?
17
Suppose 2*w + 2*w + 3*q = 400, -5*q + 311 = 3*w. Let z = -3 - -28. What is the remainder when w is divided by z?
22
Let s(t) = 26*t**2 - 2*t + 2. Let x be s(2). Suppose n = -2*n + x. What is the remainder when n is divided by 9?
7
Let y = 8 - 4. Let s be (-47)/y + (-3)/12. Let h = 29 + s. Calculate the remainder when h is divided by 6.
5
Let i be (1 + -2)*(-21 + 1). Let b = i + -8. What is the remainder when 47 is divided by b?
11
Let d(h) = 14*h. Suppose 0 = y - 0*y - 5*s - 21, 5*y = s + 9. Calculate the remainder when 39 is divided by d(y).
11
Calculate the remainder when 38 is divided by -1*((-4)/2 + 2*-2).
2
Suppose 0 = 4*c - 76 - 168. What is the remainder when c is divided by 21?
19
Let x(r) = 11 + r + 0*r - 2*r. Let b be x(9). What is the remainder when 10 is divided by (-29)/(-5) - b/(-10)?
4
Suppose 4*t + 154 = 5*r, 5*r - 5*t = 2*r + 82. Let f = 6 + r. Suppose 4*p - 25 = 59. What is the remainder when f is divided by p?
19
Let n be (46/(-3))/((-16)/24). Suppose -4*z + n = 3*u, 0*z - 4*z - 2 = -2*u. Calculate the remainder when u is divided by 3.
2
Let v = -21 + 25. What is the remainder when 23 is divided by v?
3
Let h(j) = j**3 - 16*j**2 + 17*j + 1. What is the remainder when 60 is divided by h(15)?
29
Let w be 12/(-8) + (-2)/4. Let k be 2/4 - 3/w. Suppose -k*s = 5*x - 42, -4*x + x - 3*s = -27. What is the remainder when 23 is divided by x?
7
Let g be 2/(-5) + 42/5. Suppose 3*w - g*w = -30. Calculate the remainder when 22 is divided by w.
4
Let l(b) = b**2 - 2*b - 3. Let g be (-4)/16*-2*-8. What is the remainder when l(g) is divided by 11?
10
Let o = 19 + -10. Suppose -2*t = -5*t + o, 0 = -2*a + 5*t - 13. What is the remainder when (1 - -2)*a - 0 is divided by 2?
1
Let j be (-1)/(-2) - 30/(-4). Suppose -j = 5*l - 73. Let k(x) = -2*x + 38. What is the remainder when k(0) is divided by l?
12
Let y = 86 + -35. What is the remai