What is the remainder when 14 is divided by p?
4
Let z = 67 + -14. Let l(s) = s**3 - 4*s - 1. Calculate the remainder when z is divided by l(3).
11
Suppose -2 = -2*m + 2*i - 0*i, 5*i = -5*m + 5. What is the remainder when 1 is divided by m?
0
Suppose 18 = -y + 4*y. What is the remainder when y is divided by (2/(-2)*3)/((-9)/12)?
2
Let a(k) = -3*k - 4. Suppose 0 = -5*b + 50 + 70. Suppose b = -4*n + 68. Calculate the remainder when a(-8) is divided by n.
9
Let x = -14 - -22. Suppose -2*h + 40 = -x. What is the remainder when 71 is divided by h?
23
Suppose 0 = -5*n + 39 + 6. Calculate the remainder when 24 is divided by n.
6
Suppose 0 = -24*h + 1374 + 1506. What is the remainder when h is divided by 41?
38
Suppose 0*f + 2*f = 12. What is the remainder when 14 is divided by f?
2
Suppose -3*x + q = -0*q + 20, -3*x - 18 = -3*q. Calculate the remainder when 32 is divided by 11*1*(8 + x).
10
Let w = -48 - -67. Suppose y - 10 = -n - 3*y, -5*n - 5*y + 20 = 0. Suppose z + r + 11 = n*z, -3*z - 5*r + 25 = 0. What is the remainder when w is divided by z?
9
Let i(k) = -k**3 - 4*k**2 + 9*k + 7. What is the remainder when i(-6) is divided by 9?
7
Let y = 59 + -47. Calculate the remainder when 46 is divided by y.
10
Let q = 109 + -75. Suppose -3*o + q = -o. Suppose 5 = v - y - 30, 5*y = -3*v + 81. What is the remainder when v is divided by o?
15
Let h(n) = -n**2 - 17*n + 3. Calculate the remainder when 6 is divided by h(-17).
0
Let i(s) = s**3 - 9*s**2 + s - 5. Let b be i(9). Suppose -3*p = -7*p - b, 4*z - p = 289. Suppose o - z = -3*o. What is the remainder when 53 is divided by o?
17
Suppose -4*n + 23 = -5*t - 21, -4*n - 3*t + 44 = 0. Calculate the remainder when n is divided by (30/5)/3 - -2.
3
Let v = -53 - -90. Calculate the remainder when 69 is divided by v.
32
Suppose 307 = 23*h - 38. Calculate the remainder when 22 is divided by h.
7
Let g = 84 - 159. Let h = g - -125. Calculate the remainder when h is divided by 17.
16
Suppose -4*s + 4*i + 40 = 0, 4*s + 2*i = i + 45. Let o be (0/(-2))/(-1 + 3). Suppose 0 = u - o*u - 31. What is the remainder when u is divided by s?
9
Suppose -3*w + 67 = 2*w - 3*m, 0 = 4*w - 3*m - 56. What is the remainder when 17 is divided by w?
6
Calculate the remainder when (-5)/45 + (-982)/(-9) is divided by 37.
35
Let h(y) = y**3 + 6*y**2 + 6*y. Calculate the remainder when 29 is divided by h(-3).
2
Suppose 2*d + 44 = 2*i, -2*i = -4*i - 3*d + 19. What is the remainder when (-6)/(2/((-96)/9)) is divided by i?
15
Let t be 126/2 - (-6)/2. Suppose 2*j - t = j. Let z = -30 + j. What is the remainder when z is divided by 19?
17
Let z(a) = -a**2 + 6*a - 1. Calculate the remainder when 10 is divided by z(5).
2
Let b = -15 - -7. Let i(t) = -2*t - 11. Calculate the remainder when 8 is divided by i(b).
3
Let j = -3 + 6. Calculate the remainder when 18 is divided by (j - -9) + -1*2.
8
Suppose 0 = -0*v + 3*v - 9. What is the remainder when 9 is divided by v?
0
Let a be -1 + 2 + (1 - 2). Suppose -3*y + 5*x - 141 = -56, 3*x - 15 = a. Calculate the remainder when (-24)/y*5/1 is divided by 4.
2
Let b = -6 + 9. Let d = 2 + b. Calculate the remainder when 22 is divided by d.
2
Let w(f) = f**3 - 6*f**2 + 6*f - 9. Let b = 15 + -9. What is the remainder when w(b) is divided by 14?
13
Let r(i) = 10*i + 6. What is the remainder when r(2) is divided by 14?
12
Let k(y) = -4*y - 4. Calculate the remainder when k(-8) is divided by 6.
4
Let v = 12 - 9. Let u be 4/(0 - 2/(-4)). Suppose 0*y + u = y. What is the remainder when y is divided by v?
2
Let f = -16 - -21. Suppose -f*s + 104 - 9 = 0. Calculate the remainder when 55 is divided by s.
17
Suppose -5*z = -104 + 14. Let n(g) = -g**2 - 5*g - 3. Let q be n(-4). What is the remainder when z is divided by q*13 + (3 - 6)?
8
Suppose 0 = 7*k - 2*k - 145. Let d = 103 - k. Calculate the remainder when d is divided by 19.
17
Let t(h) = -h**2 + 9*h. Let y be t(9). What is the remainder when (0 + y + -9)*-2 is divided by 7?
4
Let c(s) = -s**3 + 5*s**2 + 3*s - 3. Let p = 27 + -18. What is the remainder when c(4) is divided by p?
7
Let t = 24 - 3. What is the remainder when t is divided by (-8)/6 + 392/42?
5
Let c(l) = l**2 - 12*l + 10. Let z be c(11). Let f = -1 - z. Suppose p - b - 2 - 1 = f, 3*b = -4*p + 47. What is the remainder when p is divided by 5?
3
Let k(d) = -4 - 3 + 3 - 8*d. Let a(m) = m + 2. Let j be a(-5). Calculate the remainder when k(j) is divided by 7.
6
Let w(f) = f**3 - 9*f**2 - 31*f + 34. What is the remainder when w(12) is divided by 14?
10
Let y = 9 + 1. Let t be y*10/12*3. What is the remainder when (t/20)/((-2)/(-8)) is divided by 2?
1
Suppose 9 = 4*q - 11. Let f(k) = -k**3 + 5*k**2 + 5*k - 4. Let y be f(q). Let j = y - 12. Calculate the remainder when 25 is divided by j.
7
Let z = -2 + 5. Suppose 2*o + z*o = 0. Suppose o*s = 2*s - 74. Calculate the remainder when s is divided by 13.
11
Let j = 3 - 3. Suppose -5*q - p + 5 = j, 31 = 3*q - 10*p + 5*p. Suppose 0 = -3*s + 19 + q. What is the remainder when 20 is divided by s?
6
Let p be 1*-1 - (-3 + 2). Suppose p = y + y - 18. Let g = y - 0. Calculate the remainder when 17 is divided by g.
8
Let m(g) = 3*g**2 + 3*g + 6. What is the remainder when m(4) is divided by 17?
15
Let h(d) = -10*d + 1. Let o = -10 + 9. Calculate the remainder when h(-4) is divided by o*(5 + -2 - 17).
13
Suppose 0 = -3*b + 26 + 49. Let j = 5 - -2. Calculate the remainder when b is divided by j.
4
Let a(u) = 2*u + 2. Suppose 0*s - 3*f = 2*s - 11, -5*s + 2*f = -18. Calculate the remainder when 28 is divided by a(s).
8
Suppose -20 = 5*w, -4*k - 5*w + 0*w = -188. Let y = -11 + 16. Suppose -3*f = 2*z + 17 - 62, y*z - 78 = 4*f. What is the remainder when k is divided by z?
16
Calculate the remainder when (-3 + 2)/(5/(-180)*2) is divided by 4.
2
Let k(n) = 4*n + 4. Let r be k(-4). Calculate the remainder when 9/r + (-357)/(-12) is divided by 15.
14
Suppose -11*d - 81 = -12*d. What is the remainder when d is divided by 28?
25
Let l be 3 - (-15)/(-3) - 3. Let v = 14 + l. Calculate the remainder when 15 is divided by v.
6
Suppose 3*a = i - 6, 5*a - 3*i + 4*i + 10 = 0. Let r = a + 4. Calculate the remainder when r is divided by 1.
0
Let v(h) = -2*h + 1. Let b(i) = -14*i - 8. Let j(t) = -7*t - 4. Let r(c) = 6*b(c) - 11*j(c). What is the remainder when r(-4) is divided by v(-6)?
11
What is the remainder when 2 - -3*146/3 is divided by 19?
15
Let k = -44 + -70. Let z(r) = 7*r**2 - 3*r + 1. Let u be z(5). Let t = k + u. What is the remainder when t is divided by 16?
15
Let g(t) = 3*t**2 + t - 1. Let r = 135 + -111. Calculate the remainder when r is divided by g(2).
11
Suppose 3*i - 2 = 13. Suppose 5*a - 35 = -l + 7, 3*l + i*a = 126. Calculate the remainder when l is divided by 22.
20
Let y(t) = -6*t - 3. Calculate the remainder when y(-9) is divided by 9.
6
Let n = 37 - 29. What is the remainder when 15 is divided by n?
7
Let y = -17 - -23. Calculate the remainder when 21 is divided by y.
3
Suppose -2*h + 10 = -p - 1, 5*h - 30 = 2*p. Let l = -17 + 38. Calculate the remainder when l is divided by h.
5
Suppose 0 = 2*f - 4*w - 4, 4*f = 2*w + w + 8. Suppose -f*n = 5*o - 400, 0 = 3*o - n + 4*n - 240. Calculate the remainder when o is divided by 27.
26
Let t(k) be the third derivative of k**4/6 - 5*k**3/6 + 4*k**2. Calculate the remainder when t(5) is divided by 8.
7
Suppose r - 2 = -0. Let a be (-15)/6*(-12 - r). Let p = a - 2. What is the remainder when p is divided by 17?
16
Suppose 14*q = 19*q - 110. Calculate the remainder when q is divided by 7.
1
Let y = -40 - -5. Let w = y - -58. Let g(h) = 3*h - 9. Calculate the remainder when w is divided by g(7).
11
Let l = 3 + 0. Let z = 4 + l. Let u = 10 - -2. Calculate the remainder when u is divided by z.
5
Suppose -3*r + 5*p - 13 + 36 = 0, 5*r - 90 = -2*p. Suppose 5*u = 7*l - 2*l + 65, -5*u = -2*l - 56. Calculate the remainder when r is divided by u.
6
Suppose -4*a = -3*n + 11, -n - 3 = -3*a - 0. Calculate the remainder when 15 is divided by n.
6
Suppose 4*m = 19 - 3. What is the remainder when m is divided by 3?
1
Suppose -4*m + 55 = -4*o + 11, 3*m = 4*o + 33. What is the remainder when 32 is divided by m?
10
Suppose -3*f - 177 = -6*f. Let w be f*3/3 - -1. Let u = w + -16. What is the remainder when u is divided by 15?
14
Suppose -6 = -3*k + 4