1
Let l(n) = -n**3 + 11*n**2 + 29*n + 13. What is the remainder when 309 is divided by l(13)?
49
Suppose -4 = -4*o + 3*t + 58, o + 4*t - 6 = 0. What is the remainder when o is divided by 5?
4
Suppose 0 = -s - 3*h - 9 - 43, 4*s - 5*h + 140 = 0. Let y = -24 - s. Calculate the remainder when 31 is divided by (1 + 0)/(1/y).
15
Let a be (-2)/3 - 42/(-9). Suppose 0 = -4*d + 4*o + 16, -d - 3*d + 48 = a*o. Suppose -4*k + 75 = -17. What is the remainder when k is divided by d?
7
Calculate the remainder when (2/(-6))/(2/(-516)) is divided by 22.
20
Let q(j) = 1. Let h(z) = -z - 10. Let l = -4 - -1. Let n(w) = l*q(w) - h(w). Calculate the remainder when n(8) is divided by 8.
7
Suppose 4*d - 2*d + 3*y = 91, -3*y + 47 = d. Calculate the remainder when 175 is divided by d.
43
Let l be 13*-3*(-1)/3. Let x = 19 - l. What is the remainder when 15 is divided by x?
3
Suppose 16 = 5*r - 19. Calculate the remainder when 18 is divided by r.
4
Let v(r) = 21*r**2 + r + 1. What is the remainder when v(-2) is divided by 17?
15
Suppose 0 = f - 0*f, 2*f = -4*g + 48. Let w = 15 - g. What is the remainder when 8 is divided by w?
2
What is the remainder when 35/(-2)*(12/30 - 2) is divided by 20?
8
Suppose v + 0*v = 4. Let r be 48/20 - 2/5. Let m(q) = -q**3 + 6*q**2 - 4*q + 3. Calculate the remainder when m(r) is divided by v.
3
Let h = 0 - -6. Calculate the remainder when 10 is divided by h.
4
Let l = -43 + 46. Let v = -7 - -18. Calculate the remainder when v is divided by l.
2
Suppose 7*b - 3*b - 4 = 0. Let d be b/(-3) - 17/3. What is the remainder when 17 is divided by (12/14)/(d/(-42))?
5
Suppose 9*f = 8*f + 10. Calculate the remainder when 58 is divided by f.
8
Suppose 0 = -9*q + 10*q - 15. Calculate the remainder when 26 is divided by q.
11
Let b = 117 - 112. Calculate the remainder when 12 is divided by b.
2
Let u(q) = q**3 + 5*q**2 - 14*q + 6. What is the remainder when 26 is divided by u(-7)?
2
Suppose -3*p - 2*c = -73, -p + 3*c - 4*c = -25. Suppose -5*h - 26 - 9 = -2*k, 5*k + 4*h - 71 = 0. Let d = k + -7. What is the remainder when p is divided by d?
7
Suppose 0 = 5*n - 8 - 37. Suppose 3*h = -2*h + 30. Let w = 11 - h. What is the remainder when n is divided by w?
4
Suppose -2*n = 2*n - 44. Calculate the remainder when 29 is divided by n.
7
Suppose 2*l - 4*l + p = -9, 1 = -p. Suppose -3*y + m = -14, 2*y + 15 = l*y + 5*m. Suppose -y*b + 35 - 10 = 0. Calculate the remainder when b is divided by 2.
1
Let h = -28 + 82. What is the remainder when h is divided by 11?
10
Let u = 6 - 1. Suppose -2*h + i + 27 - 8 = 0, 3*h + 2*i - 25 = 0. What is the remainder when h is divided by u?
4
Suppose 2*j - 31 = 55. What is the remainder when 158 is divided by j?
29
Let b = -5 - -5. Let o(t) = 2 - 3*t + 4*t + 1 + b. Calculate the remainder when 22 is divided by o(5).
6
Let u(d) = 17*d + 3. What is the remainder when 36 is divided by u(1)?
16
Suppose -g + 7 = -6. What is the remainder when 25 is divided by g?
12
Let s(c) = c - 12. Let j be s(11). Let t = j + 1. Suppose -4*l = -t*l - 36. Calculate the remainder when 15 is divided by l.
6
Let m(p) = -p + 10. Suppose -2*k + 17 = 5. Suppose 4*t - 4*n - 52 = 0, 5*t + 3*n = k*n + 57. Calculate the remainder when m(-7) is divided by t.
8
Suppose 0 = -57*y + 60*y - 204. What is the remainder when y is divided by 35?
33
Let w be 2 + (-2 + 3)*-1. Suppose 24 = 5*f - w. Calculate the remainder when 7 is divided by f.
2
Suppose 109 = 5*m + 4*s, m + 4*m - 2*s = 133. What is the remainder when 90 is divided by m?
15
Let q(o) = 3*o + 7. Calculate the remainder when q(2) is divided by 3.
1
Suppose -4*h - 13 = -7*h - o, 2*h = -5*o. What is the remainder when 47 is divided by h?
2
Suppose 4*v - 5*w = -29, -17 = -0*v + 3*v + w. What is the remainder when v/((-5)/(80/6)) is divided by 9?
7
Calculate the remainder when 14 is divided by ((-2)/5)/((-5)/50).
2
Let y = -9 + 17. Calculate the remainder when y is divided by 4.
0
Suppose 3*o = -o + 2*b + 394, 2*o - 167 = -5*b. Suppose 2*f = o - 8. Let j(g) = -g**2 + 8*g - 1. Calculate the remainder when f is divided by j(4).
14
Let d(z) = -2*z - 26. What is the remainder when d(-19) is divided by 7?
5
Let f = -11 + 15. Suppose -3*c + 2*c = z - 6, 0 = f*c + 16. Calculate the remainder when (19/3)/(1/3) is divided by z.
9
Suppose -10 = -2*a + r + 3, -2*r + 10 = 5*a. Suppose 0*z + 52 = a*z. Calculate the remainder when z is divided by 5.
3
Let m(x) = x**2 - 6*x. Let d be m(6). Let q(c) = -c**3 - 18. Let y be q(d). Calculate the remainder when 35 is divided by y/((-2 + 5)/(-3)).
17
Let n be (-4)/(-12) - (-1192)/6. Suppose -a + 5*a - 187 = 3*v, 0 = 4*a + v - n. Suppose 4*j = 6*j - 34. Calculate the remainder when a is divided by j.
15
Let o be (-20)/(-6)*6/4. Suppose -o*k - 27 = -g, 3*g = -g - k + 66. Suppose 22 = 3*f - g. What is the remainder when f is divided by 5?
3
Let w(o) = -o - 5. Let l = 5 + -14. Let v be w(l). Let a = 15 - v. Calculate the remainder when 32 is divided by a.
10
Let g = 4 + -3. Let a = g - -3. Suppose -3*o + o - 70 = -a*u, -u + 13 = o. What is the remainder when 46 is divided by u?
14
Suppose -f = 3*f - 16. Suppose -74 = -5*c - f. Suppose c = 2*q - 4*t, 3*t + 23 + 5 = 4*q. Calculate the remainder when 12 is divided by q.
5
What is the remainder when ((-20)/(-4) - 7) + 101/1 is divided by 25?
24
Let r(j) = 6*j + 2. Let f(c) = -c. Let p(m) = 3*f(m) - r(m). What is the remainder when p(-5) is divided by 15?
13
Let v(m) = -2*m**3 - m. Let j be v(-1). Suppose 2*s - 70 = -j*s. What is the remainder when 53 is divided by s?
11
Suppose 2*l - l = 16. Let t = -15 + 11. Let w = t - -13. Calculate the remainder when l is divided by w.
7
Suppose 0 = b + 2*s - 21, 0 = -4*b - 5*s + 52 + 17. Let q(c) = c**2 - c + 2*c + 7 - 2*c. What is the remainder when b is divided by q(0)?
4
Let c(o) = -o**3 + 3*o**2 - o + 1. Suppose 0 = -3*b + n + 13, -5*b = -5*n - 15. Suppose 0 = b*k - 35 - 5. What is the remainder when k is divided by c(2)?
2
Suppose 0 = 3*z + 2*v - 30, 5*z - v - 37 = 26. Suppose 15 = 2*l + 1. Calculate the remainder when z is divided by l.
5
Let w = 34 + -77. Let b = -2 - w. What is the remainder when b is divided by 14?
13
Let h(w) = -w**3 + 13*w**2 + 16*w + 6. What is the remainder when 101 is divided by h(14)?
33
Let h(a) = a**2 - 13*a - 15. Calculate the remainder when h(17) is divided by 14.
11
Suppose -p - 10*p + 66 = 0. What is the remainder when p is divided by 6?
0
Let k be 1 + (2 - 0/3). Let h be k*(0 + 6/(-9)). Calculate the remainder when 40 is divided by (-24)/h + 1 + 1.
12
Let l(k) = -2*k - 21. Calculate the remainder when 15 is divided by l(-15).
6
Let f be (-2 - -2) + 2 + -1. Suppose -f = 4*x - 5. Suppose k - 18 = x. Calculate the remainder when k is divided by 7.
5
Let t(s) = s**3 - s**2 + 8*s + 4. Calculate the remainder when t(4) is divided by 17.
16
Calculate the remainder when 22 is divided by (-4)/8*(-48)/(1 - -1).
10
Suppose 5*p + 480 = -5*a, 83 + 109 = -2*p + 2*a. Let x = 138 + p. Calculate the remainder when x is divided by 15.
12
Suppose 0 = -2*x - 4*a + 28, -3*x + 3*a = -0*x + 3. Suppose -x*o + 3*o + 7 = 0. What is the remainder when o is divided by 4?
3
What is the remainder when ((-2)/(-2) - 32)*-2 is divided by 32?
30
Let m(u) = 15*u**2 + u. Calculate the remainder when 38 is divided by m(-1).
10
Let r = 192 - 49. Suppose 11 = -3*u + r. Calculate the remainder when u is divided by 23.
21
Let n = 44 + -30. Let w(u) = -9*u - 1. What is the remainder when n is divided by w(-1)?
6
Let q be 3/5 + (-1520)/(-50). Suppose -12*y = -13*y + q. What is the remainder when y is divided by 11?
9
Let y(i) = i**2 - 8*i - 5. Let c(j) = 1. Let s(n) = -6*c(n) - y(n). What is the remainder when 41 is divided by s(6)?
8
Suppose 2*q - 54 = 2*l, -3*l + 2 = 14. Calculate the remainder when q is divided by 8.
7
Suppose 0 = 3*a - a - 44. Suppose -a = -5*c + 33. Suppose 5*o - 3*o - 12 = 0. Calculate the remainder when c is divided by o.
5
Calculate the remainder when 15 is divided by 4*3/(-15)*-10.
7
Let v = -17 - -32. Let b be (-1778)/(-18) - (-2)/9. Let r = -71 + b. What is the remainder when r is divided by v?
13
Let l be ((-14)/(-6))/(1/(-3)). Let i(a) = -a**3 - 8*a**2 - 10*a. Calculate the remainder when 82 is divided by i(l).
19
Suppose -4*q - 24 = -7*q. What is the remainder when 31 is di