et w = 40 + -19. Let a = -1 + w. What is the remainder when a is divided by 11?
9
Suppose 3*d + l + 2*l + 9 = 0, 0 = d - 3*l - 1. Suppose -2*z + 2 + 2 = 0. Calculate the remainder when z is divided by (d/(-6))/((-9)/(-54)).
0
Suppose 50 = 2*u + 12. Let n = u - 8. Let i = -20 - -41. Calculate the remainder when i is divided by n.
10
Let y(x) = -x + 54. What is the remainder when y(11) is divided by ((-46)/3)/((-2)/3)?
20
Suppose -192 = -2*i + 2*h, 3*i = -i - 3*h + 370. Calculate the remainder when i is divided by 24.
22
Suppose 0 = h + 4*g - 21, 0*h - 63 = -3*h + g. What is the remainder when h is divided by 12?
9
Suppose 7*d + 80 = 17*d. Calculate the remainder when d is divided by 3.
2
Suppose 0 = -3*f + 4*f - 29. What is the remainder when f is divided by 8?
5
Calculate the remainder when 8*2/(-4)*-2 is divided by 3.
2
Let y = 85 - 80. What is the remainder when 20 is divided by y?
0
Let o(m) = -3*m - 3. Let z be o(-3). Let w(p) = -4 + 0*p**2 + 8*p - p**2 - 1. What is the remainder when 13 is divided by w(z)?
6
Let u = 7 - 2. Suppose -b = 4*b + u*m - 10, 2*m = -3*b + 5. Suppose 2*t = 3*w - b - 88, 0 = -t + 2. Calculate the remainder when w is divided by 16.
15
Let n = 2 - -1. Let y = 3 - n. Suppose y = l - 0*l - 8. Calculate the remainder when 15 is divided by l.
7
Let a = -8 - -11. Suppose 3*q - 31 = v + 27, 2*v + 56 = a*q. Calculate the remainder when q is divided by 11.
9
Calculate the remainder when (1 - 3)/(-2)*29 is divided by 10.
9
What is the remainder when (-4)/(-6 + 4) + 9 is divided by 5?
1
Let y(n) = -n**3 + 2*n**2 + 3*n + 2. Let z be y(3). Suppose 0*a + 2*a = 2*m + z, 2 = -2*a + 3*m. What is the remainder when 19 is divided by a?
4
Let h(b) = -2*b + 6*b + b**2 + 3 + 1. Calculate the remainder when 9 is divided by h(-4).
1
Let a(w) = w**2 - 12*w + 4. Let s be a(12). Suppose 3*o - 11 = -r, s*o = -o + 5*r - 15. Calculate the remainder when (0 + -2 - -3)*5 is divided by o.
1
Let x = 17 - -6. Calculate the remainder when 68 is divided by x.
22
Let p(g) be the second derivative of -g**4/12 + g**3 + 3*g**2/2 + 3*g. Calculate the remainder when p(6) is divided by 3.
0
Suppose 4*a + 188 = -3*c, -2*a - 93 = -2*c + 15. Suppose -228 = 3*b + 42. Let p = a - b. What is the remainder when p is divided by 21?
19
Suppose -4*z - 2 = -5*z. Let g = -2 + z. Suppose -o = -g*o - 6. Calculate the remainder when 10 is divided by o.
4
Let f be (6/4)/((-3)/6). Calculate the remainder when 15 is divided by (-2)/f - 44/(-6).
7
Suppose -2*o = -0*g - 2*g + 76, 2*g - 4*o - 66 = 0. Suppose 4*l = -2 - 2. What is the remainder when g is divided by l/((-3)/15)*3?
13
Suppose -5*g + 64 = -z, -10 = g - 2*g + 3*z. What is the remainder when 49 is divided by g?
10
Let o(t) = 2*t - 3. Let x(b) = -3*b - 3. Let w be x(-2). What is the remainder when 20/(-6)*30/(-25) is divided by o(w)?
1
Let m(u) = u**2 + 3*u - 9. Let j be (-2)/(-3) - 196/(-21). Let y = -3 + j. Calculate the remainder when m(y) is divided by 16.
13
Suppose -5*p + 2*m + 261 + 205 = 0, -2*m - 282 = -3*p. What is the remainder when p is divided by 24?
20
Calculate the remainder when 11 is divided by (-20)/(-35) - 38/(-7).
5
Let b be (0/(-1))/((-11)/(-11)). Let k be 4/(0 - (0 - 1)). Suppose -k*g + b*g + 24 = 0. Calculate the remainder when g is divided by 2.
0
Let z be 1/(-1 + 120/122). Let v be 7/1*(-6)/(-14). Let t = v - z. Calculate the remainder when t is divided by 22.
20
Suppose 0 = -3*y - 3*o + 6*o + 9, 5*y + o = -15. Let r be (0 + y)/(1/2). Let k = 8 + r. What is the remainder when 11 is divided by k?
3
Suppose 2*q = 4*i + i + 39, -3*q = 2*i + 27. Let u(z) = -3*z - 18. Calculate the remainder when 25 is divided by u(i).
7
Calculate the remainder when 88 - -1 - 5*(-8)/(-20) is divided by 22.
21
Calculate the remainder when 107 is divided by (36/(-48))/((-1)/36).
26
Let l be (16/10)/(3/(-15)). Let o = l - -17. What is the remainder when o is divided by 6?
3
Let i = -6 - -12. Let l(o) = -o**2 + 6*o. Let c be l(i). Suppose 2*s = -c*s + 30. Calculate the remainder when 28 is divided by s.
13
Let m(j) = -j**3 - 15*j**2 + j + 23. Suppose -4*d + 5*d - 15 = 0. What is the remainder when d is divided by m(-15)?
7
Suppose 0 = 177*g - 182*g + 10. Let f(p) = 3 - 8 + 2*p + 0*p. What is the remainder when f(5) is divided by g?
1
Let g be (2 + -1)/(-10 + 11). Suppose -3*o = -13 + g. Suppose 4*z - 56 = -2*x, -2*x + 9*z - o*z = -47. What is the remainder when x is divided by 9?
8
Suppose -2*p = -z + 29, -2*p = -z + 3*p + 32. What is the remainder when z is divided by 10?
7
Let n(s) = -s + 8. Suppose 3*f + 68 = 5*g, -2 = g + 5*f - 10. What is the remainder when g is divided by n(3)?
3
Suppose 5 = 3*o - 43. Suppose -g + 6 - 16 = 2*y, 4*y + 34 = -3*g. Let h = -8 - g. Calculate the remainder when o is divided by h.
4
Suppose 0 = 164*c - 160*c - 568. What is the remainder when c is divided by 16?
14
Suppose 7*q - 2020 = -13*q. What is the remainder when q is divided by 17?
16
Suppose 331 = 3*q + 100. Calculate the remainder when q is divided by 16.
13
Suppose -3*w = 2*w + 4*d - 25, d = -2*w + 13. Suppose 3*j = j + 8. What is the remainder when w is divided by j?
1
Let f = -182 + 194. What is the remainder when 35 is divided by f?
11
Calculate the remainder when 67 is divided by 26 - (-1 + (-16)/(-4)).
21
Let c be (5/4)/((-2)/16). Let f = 19 + c. Let x(w) = 2*w - 7. What is the remainder when f is divided by x(6)?
4
Let o(m) = m + 21. Suppose -5*t - 10 = 2*a, -3*t - 4 = 2. What is the remainder when o(a) is divided by 11?
10
What is the remainder when 31 is divided by (4/(-6))/(3/(-36))?
7
Suppose t = 2*m + 36, 63 = 4*t + m - 63. Calculate the remainder when t is divided by 11.
10
Let r(b) = b**3 + 3*b**2 - 2*b + 3. Let o be r(-4). Let n = o - -9. Suppose k = n*m - 98, -3*m = -4*k - 68 + 1. What is the remainder when m is divided by 9?
7
Suppose -2*r = -3*k - 19, -4*r + 0*k - 3*k = -65. Calculate the remainder when 35 is divided by r.
7
Let f(h) = -7*h + 8. Let v(s) = 6*s - 9. Let l(p) = -5*f(p) - 6*v(p). Let t = -1 - -6. What is the remainder when t is divided by l(12)?
1
Let i = 11 - -15. Let j = -8 - -17. What is the remainder when i is divided by j?
8
Let s(o) = -o**3 - 6*o**2 - 2*o - 9. Let w be s(-6). Suppose 0 = -w*m + 19 + 2. What is the remainder when 26 is divided by m?
5
Suppose 0 = -2*d - o + 7, -5*d - 3*o + 2*o = -13. Suppose -55 = -7*m + d*m. Let c = -24 - -45. What is the remainder when c is divided by m?
10
Let f(d) be the third derivative of d**4/24 - 11*d**3/6 - 4*d**2. What is the remainder when 2 is divided by f(12)?
0
Let f(l) = l - 13. Let z be f(12). What is the remainder when 49 is divided by z/(-2)*-6 + 20?
15
Suppose 0 = -s + 4*s + 3*q - 27, -4*s + 4*q = 4. Suppose k - s = 0, k - 94 = 2*b - 7*b. Calculate the remainder when 69 is divided by b.
15
Let t be 16/(-6)*12/2. Calculate the remainder when 10 is divided by (-11)/(-2) + (-8)/t.
4
Let z(o) = 15*o - 1. Suppose 2*k = -0*k + 2. Let s be z(k). Suppose -q + s = q. What is the remainder when 20 is divided by q?
6
Let h = 1 + -3. Let f = h + 12. What is the remainder when 29 is divided by f?
9
Suppose 2*w - 3*g = 6, 0 = -4*w - 5*g + 34 + 22. Calculate the remainder when w is divided by -1*(-2)/(-2) - -4.
0
Suppose -6*l = -l - 30. Suppose 5*u + l - 101 = 0. What is the remainder when u is divided by 11?
8
Suppose -2*p = 2*p - 2*m - 120, -2*m - 4 = 0. What is the remainder when 84 is divided by p?
26
Let c(i) = -i + 6. Let r be c(6). Let x = r + 10. What is the remainder when 27 is divided by x?
7
Let l(n) = -n**3 - 12*n**2 - 7*n - 12. Let t be l(-12). Suppose x = -0*x + t. Calculate the remainder when x is divided by 15.
12
Let y(z) = -z**3 - 8*z**2 + 6*z - 15. What is the remainder when y(-9) is divided by 4?
0
Let m = -211 - -214. What is the remainder when 58 is divided by m?
1
Let p(t) be the second derivative of 1/2*t**2 + 0 + 11/6*t**3 + 3*t. What is the remainder when p(3) is divided by 12?
10
Let q = -11 + 7. Let y be q*(5/2 + -3). What is the remainder when y - -1 - (0 + -10) is divided by 7?
6
Suppose 2*j = j, 3*v - j = 0. Let y(z) = -z + 7. Calculate the remainder when 13 is divided by y(v).
6
Let g(v) = 2*v**2 - 9*v - 8. Let i be g(-10). What is the remainder when 31 is divided by (-10)/(-65) - i/(-26)?
9
Let l(a) = -4*a**2 + 10*a - 4