hat is the remainder when p is divided by 12?
10
Suppose 19 + 27 = o. Let c = -22 + o. Calculate the remainder when c is divided by (1 - 1) + 13 + 44 + -44.
11
Suppose 30 = l - 3*r, 0 = -l - 3*l + 5*r + 120. Let a(s) = s**2 + 2*s - 4. What is the remainder when l is divided by a(3)?
8
Let g = 53 + -31. Let l = -44 + 46. Calculate the remainder when (9 - 8) + g/l is divided by 7.
5
Suppose -3*j + 5*n + 246 = n, 335 = 4*j - 3*n. Calculate the remainder when j is divided by 11.
9
Let f be (2 - 6) + 0 + 2. Let a be (-12)/f + 1/(-1). Suppose 0 = a*i - 16 - 19. What is the remainder when 12 is divided by i?
5
Let m(h) = 2*h**3 - h**2 - 2*h - 1. What is the remainder when 20 is divided by m(2)?
6
Let c = -24 - -79. What is the remainder when c is divided by 14?
13
Suppose -4*v = 5*n - 55, -3*n + 2*v + 18 = n. Suppose 4*b - 11 = o, -5*o = -2*b - 2*b + n. What is the remainder when 8 is divided by b?
2
Let u = -10 - -23. Calculate the remainder when 59 is divided by u.
7
Suppose c = 2*b - 12 - 1, b + c = 2. Suppose -3*p + 36 = r, p - 5*r - b = -3*r. Calculate the remainder when 31 is divided by p.
9
Suppose 0*n - 560 = -5*n. Let z = -75 + n. Calculate the remainder when z is divided by 13.
11
Let u(n) = -n + 28. Calculate the remainder when u(-24) is divided by 6.
4
Suppose -2*q + 7*q + 30 = 0. Let x be 4/q*(6 - 9). Calculate the remainder when 132/4*x/6 is divided by 3.
2
Suppose 0 = -2*v + 91 - 35. Let t = -20 + v. Calculate the remainder when 30 is divided by t.
6
Let b(c) = 11*c**2 - c. Let t(h) = h. Let m be t(2). Suppose 60 = m*n + 2. Calculate the remainder when n is divided by b(1).
9
Suppose 0 = -3*x + 5*l + 139, -4*x + 175 + 57 = 5*l. What is the remainder when x is divided by 19?
15
Suppose 16 + 14 = 5*s. Calculate the remainder when (5*1)/((-1)/(-2)) is divided by s.
4
Suppose 3*o - 92 = 5*w, -o = 4*o - 3*w - 164. What is the remainder when 134 is divided by o?
32
Suppose -2*s + 5 = -7. Suppose -w + s = -7. What is the remainder when 38 is divided by w?
12
Let f(l) = -7*l - 2. Let i be f(-2). Let y = i - 9. Suppose 0 = -p + 2*b + 38, 5*b = -p - y*p + 126. Calculate the remainder when p is divided by 9.
7
Let k(w) = w**3 + 7*w**2 + 6*w + 27. Calculate the remainder when k(-6) is divided by 6.
3
Suppose -3*o = -11*o + 192. What is the remainder when 47 is divided by o?
23
Suppose 0*t + 3*t - 24 = 0. Let s be -1*(-3 + 1) + -5. What is the remainder when t is divided by -6*(s/6)/1?
2
Let o(f) = 51*f**2 - 1. Suppose 0 = 2*n - s - 51, -3*s = -n - 8 + 31. Suppose 6*l - n = 4*l. What is the remainder when o(1) is divided by l?
11
Let z(w) = -6*w - 5. Let i be z(-5). Let h = i - -9. Calculate the remainder when h is divided by 18.
16
Suppose -96 = -0*l - 8*l. What is the remainder when 34 is divided by l?
10
Let f = -5 - -6. Suppose -d = -f - 38. Calculate the remainder when d is divided by 20.
19
Calculate the remainder when 46 is divided by (78/15 + -5)*85.
12
Suppose -4*v + 81 = -39. What is the remainder when v is divided by 6?
0
Let f = -3 + 36. What is the remainder when 97 is divided by f?
31
Suppose 2*v - 15 = 29. Calculate the remainder when 54 is divided by v.
10
Let q(w) = w**3 + 8*w**2 - 3*w - 5. Calculate the remainder when (9/3)/((-12)/(-220)) is divided by q(-8).
17
Suppose 3*z + 4*b = 9, b - 3*b - 13 = -z. Let d = 2 + z. Suppose -3*s - 2*s = -25. What is the remainder when d is divided by s?
4
Suppose 0 = 2*l - 5*b - 11, 2*l - 51 = -0*l - 3*b. What is the remainder when 35 is divided by l?
17
Let c = -55 - -103. Let d(l) = -25*l**3 + l + 1. Calculate the remainder when c is divided by d(-1).
23
Let a(r) = 7*r - 1. Let o be a(1). Suppose o*n - 15 = 3*n. Suppose 15 = -2*q + 7*q. Calculate the remainder when n is divided by q.
2
Let b = 23 - 5. Calculate the remainder when 59 is divided by 356/b - 14/(-63).
19
Suppose 0 = 3*a - 6, 3*f = f - 3*a + 24. Suppose 0 = 3*l + f, 0 = 2*h + 2*l - 4. What is the remainder when h is divided by 3?
2
Let p = 68 - 40. What is the remainder when 34 is divided by p?
6
Suppose 3*f + 4*y = 37, 4*f + 3*y - 23 = 31. Let m be 1/(-2 - (-34)/16). Suppose -m = -2*s + 8. Calculate the remainder when f is divided by s.
7
Suppose 0 = -0*f - 6*f + 42. What is the remainder when 24 is divided by f?
3
Suppose 5*r - 4*h - 122 = 2*r, 2*r + h - 74 = 0. What is the remainder when r is divided by 10?
8
Suppose -2*j + 4*t - 28 = 0, 0*t - 23 = 4*j + 3*t. Let a(s) = s**3 + 8*s**2 - 6*s - 3. Calculate the remainder when a(j) is divided by 12.
9
Let d = 22 + -10. Suppose 5*n + p = -0*n + d, 2*p = -n + 6. Suppose -n*y - 45 = -3*y - 4*o, 3*y + 5*o - 121 = 0. What is the remainder when y is divided by 13?
11
Let s = -31 + 54. Let g = -4 - -6. Suppose -5*v = -5*d - 19 - 16, 3*v - 26 = g*d. What is the remainder when s is divided by v?
11
Let z be (336/(-35))/((-6)/20). Suppose 5*r = -4*c + 34, 5*c + 3*r - z = 17. What is the remainder when 20 is divided by c?
9
What is the remainder when 43 is divided by ((-20)/(-8))/(3/18)?
13
Let g = 2 + -3. Let y be ((g + 1)/2)/(-1). Suppose y = 2*h - 0*h - 34. Calculate the remainder when 49 is divided by h.
15
Let b = -43 - -75. Calculate the remainder when b is divided by 10.
2
Suppose -2*h = -0*h - 6. Calculate the remainder when 13 is divided by h.
1
Let m(r) = -2*r**3 + 4*r**2 + 11*r + 12. Let v = 12 + -4. What is the remainder when m(-2) is divided by v?
6
Let c(m) = m**2 + 17*m + 19. Let h be c(-17). Let x = h - 17. Calculate the remainder when 3 is divided by x.
1
Let t = -5 + 22. Suppose 6*d + 19 = 49. Calculate the remainder when t is divided by d.
2
Let t(l) = l**2 + 15*l + 12. Suppose -3*k + 4*q + 92 = -13, -4*k + q + 140 = 0. What is the remainder when k is divided by t(-15)?
11
Let x(t) = t + 3. Let a be x(-5). Let d = 6 + a. Let h = -3 + 9. What is the remainder when h is divided by d?
2
Let f = -13 + 18. Let d = f + -2. What is the remainder when d is divided by 1?
0
Let a(s) be the third derivative of -s**6/40 - s**5/60 - s**4/6 - s**3/2 - 3*s**2. What is the remainder when a(-2) is divided by 13?
12
What is the remainder when (72/(-30))/(3/(-30)) + -1 is divided by 12?
11
Let v(h) = -h**2 - 5*h + 6. Let k be v(-6). Suppose 3*d - 24 - 45 = k. Suppose c + 0*r - 3*r = 27, 4*r = 4*c - 68. What is the remainder when d is divided by c?
11
Let k be (-5 + 6)*(-2 + 5). Suppose d = k*d. Suppose d = x - 8 - 16. What is the remainder when 47 is divided by x?
23
Suppose 0 = g - d - 7, -g - 4*d + 0 = 3. Let w = -3 + 3. Suppose w = 4*p - g*l - 174, p = 4*l + 8 + 41. Calculate the remainder when p is divided by 14.
13
Suppose -21 = -4*f + 31. Suppose i + f = 5*x, -i - 7 = x - 3*x. Let p = i + 7. Calculate the remainder when 6 is divided by p.
2
Let h(l) = l**3 + 23*l**2 + 19*l + 23. Calculate the remainder when h(-22) is divided by 23.
20
Let g(r) = -4*r + 1. Let s be 3*(-2)/(-3)*-1. Calculate the remainder when g(s) is divided by (2 - (-9)/3)/1.
4
Let t be 0 + -5*(1 + -2). Suppose -t*m = -0*m + 4*h - 65, 3*h = 4*m - 21. Calculate the remainder when m is divided by 2/(4/6) + 3.
3
Let b(p) = 6*p - 28. Calculate the remainder when b(9) is divided by 7.
5
Suppose -15 = -10*w + 9*w. Calculate the remainder when w is divided by 4.
3
Let k be ((-6)/5)/((-2)/(-10)). Let t(y) = y**3 + 6*y**2 + 3. Let i be t(k). Suppose i*b - 64 = -10. Calculate the remainder when 34 is divided by b.
16
Let a(t) = -t**3 + 5*t**2 + t + 7. What is the remainder when 19 is divided by a(5)?
7
Let f = 14 + -11. Suppose -60 = -3*l + f*a, -4*l + 3*a + 74 = a. What is the remainder when l is divided by 10?
7
Let u(l) = -l**3 + 8*l**2 - 5*l + 1. Suppose 2*c = -3*c + 35. Let t be u(c). Suppose 0 = -h - 6 + t. What is the remainder when h is divided by 5?
4
Suppose -4*v = -3*v. Let d be v/((-1)/1) - -3. Suppose 3*w = 45 - d. What is the remainder when 41 is divided by w?
13
Calculate the remainder when 86 is divided by (-628)/(-28) + (-9)/21.
20
Suppose 3*x + 2*x = -2*v + 69, 2*v - 9 = -x. Calculate the remainder when x is divided by 8.
7
Let y be 124/44 + (-4)/(-22). Calculate the remainder when 18 is divided by y - (-10 - (0 - 3)).
8
Let m(x) = x**3 + 6*x**2 - 13*x - 9. Calculate the remainder when m(-7) is divided by 18.
15
Suppose 0 = -3*m + 2*o + 23, 5*o = -2*m + 25 + 3. What is the remainder when (0 - 11)*(2 + -5) is