15 = 0, 2*y - 29 = v + 78. Suppose 4*l - 5 - 3 = 0. Suppose -3*t + 90 = l*t. What is the remainder when y is divided by t?
15
Suppose c + 3*n = 2, 6 = 3*c - 0*c + 3*n. What is the remainder when 29 is divided by (-12)/(-24) + 19/c?
9
Suppose -4*j = 2*o - 20, 5*o - 14 - 21 = -5*j. Let m(a) = a - 4*a + 2*a + o*a. Calculate the remainder when m(7) is divided by 6.
3
Suppose 4*p = -5*k + 52, -21 = -2*k - 5*p - 7. Let t(a) = a**3 - 5*a**2 + a + 5. Calculate the remainder when t(6) is divided by k.
11
Let i(c) = c**3 + 4*c**2 - 5*c + 5. Let y be i(-5). Suppose -5*x + 4*a + y = 0, -5*x + 4*a = 3*a - 5. What is the remainder when 3 is divided by x?
0
Suppose -2*k + 3*t + 25 + 13 = 0, 76 = 5*k + 2*t. What is the remainder when 74 is divided by k?
10
Let p(w) = w**2 + 4*w + 2. Let i be p(-5). Suppose 2*u = i*u - 95. What is the remainder when u is divided by 10?
9
Suppose -5*y + 25 = 2*r - 249, -4*y + 206 = -5*r. Let x(t) = t**3 + 2*t**2 - 3*t + 4. Let s be x(-3). What is the remainder when y/s + 2/4 is divided by 8?
6
Let i = 152 + -82. Calculate the remainder when i is divided by 24.
22
Let l = 206 - 195. What is the remainder when 20 is divided by l?
9
Suppose 10 = 4*f - 18. What is the remainder when 18 is divided by f?
4
Let r(f) = 7*f**2 - 5*f - 31. Let k(s) = 11*s**2 - 8*s - 47. Let p(w) = 5*k(w) - 8*r(w). Calculate the remainder when 36 is divided by p(0).
10
Suppose 2*i + 0 - 2 = 0. Let u be i/(6/(-4) + 2). Suppose x - 3*x = -4*b - 8, 2*b + 16 = u*x. Calculate the remainder when 33 is divided by x.
9
Let r(o) = 5*o**2 - 2*o - 3. Let c(i) = -2*i**3 - 3*i**2 + 4*i + 2. What is the remainder when r(-3) is divided by c(-3)?
14
Let u = 0 - -3. Let y = 4 + -2. What is the remainder when ((-10)/(-15))/(y/15) is divided by u?
2
Let x be 23/3 - (-2)/6. Let w = -17 - 11. What is the remainder when x/w + 58/7 is divided by 3?
2
Let k(z) = z**3 - 7*z**2 + 8*z - 1. Suppose -617 + 929 = 6*v. Calculate the remainder when v is divided by k(6).
8
Let z = 91 - 37. Calculate the remainder when z is divided by 19.
16
Let x(y) = -4*y - 27. Calculate the remainder when x(-13) is divided by 4.
1
Suppose -21*j - 172 = -23*j. Calculate the remainder when j is divided by 22.
20
Let w(l) = -l**2 - 11*l - 1. What is the remainder when w(-9) is divided by (-2)/8 + 42/8?
2
Let h = 21 + -3. Suppose 13*a - h*a + 95 = 0. What is the remainder when 37 is divided by a?
18
Let d(x) = -2*x**2 + 4*x - 2. Let h be d(3). Let m be (-10)/15 - h/3. What is the remainder when -1 + m - (-29 - 0) is divided by 8?
6
Let s(r) = r - 2. Suppose 0 = -4*n - m + 2*m + 15, 5*n + 2*m = 9. Suppose -x + d = -2*d, -2*d = n*x - 44. Calculate the remainder when 39 is divided by s(x).
9
Suppose 6 = 5*a - 14. Calculate the remainder when 11 is divided by a.
3
Let m(z) = 120*z**3 - z**2 + z. Calculate the remainder when m(1) is divided by 31.
27
Suppose 3*t + 35 = s, -s + 2*t + 37 - 2 = 0. Let q = -16 + s. What is the remainder when q is divided by 10?
9
Let u(d) = d**3 + 12*d**2 + 23*d + 41. Calculate the remainder when 4/10 - 426/(-10) is divided by u(-10).
10
Suppose 0 = -16*m + 14*m + 106. Calculate the remainder when m is divided by 11.
9
Let p = -80 - -88. Calculate the remainder when 46 is divided by p.
6
Let i(y) be the third derivative of -y**4/24 + 5*y**3/2 - 5*y**2. What is the remainder when 0 + 14*(-1 + 2) is divided by i(7)?
6
Suppose 5*s = -5*q, -s - 4 = -2*q - 4*s. Calculate the remainder when q/(-10) - (-46)/10 is divided by (2/4)/(1/6).
2
Suppose -194 = 3*r - 5*r. What is the remainder when r is divided by 10?
7
Suppose -5*s - 9 = 11. Calculate the remainder when 39 is divided by -14*s/(-8)*-2.
11
Let p(s) = 0 - 1 + 0*s - 4*s + 5*s. What is the remainder when 16 is divided by p(7)?
4
Let t be 2/(-7) + 80/35. Suppose -2*d + d + t = 0. What is the remainder when ((-63)/(-6) - d)*4 is divided by 18?
16
Let f = -2 + 5. Calculate the remainder when 2*(-3)/3 - -15 is divided by f + 7/(7/4).
6
Let u(o) = 5*o + 1. Let m(i) = 11*i. Calculate the remainder when u(6) is divided by m(1).
9
Let s(y) = -3*y + 44. Calculate the remainder when 12 is divided by s(13).
2
Suppose -s = -3*z - 65, -4*s - 4*z + 192 = -36. Calculate the remainder when s is divided by 15.
14
Let x(t) = 3*t**2 - t + 1. What is the remainder when x(2) is divided by 4?
3
Let u be (-2)/1 - -5 - 33. Let m = u + 51. What is the remainder when 39 is divided by m?
18
Let b(h) = -h - 3 + 0*h + 11. Let k be b(4). Suppose 0 = -k*j + 9 + 19. What is the remainder when j is divided by 3?
1
Suppose 5*p = 4*k + 25, 4*p - 7*p + 5*k = -15. Suppose 160 = p*d - 10. Suppose -7 = -a + d. Calculate the remainder when a is divided by 14.
13
Let n = 61 - 27. What is the remainder when n is divided by 9?
7
Let a = -5 - -7. Suppose 2*q - 4*p + 6 = 0, a*q - 3*p = -2*p + 3. Suppose -2*x - 20 - 13 = -k, -q*k = 2*x - 75. Calculate the remainder when k is divided by 14.
13
Let v(b) = -2*b**3 + 2*b**2 + 2*b + 1. Let w(u) = u**3 + 7*u**2 - u - 8. Let n be w(-7). What is the remainder when 4 is divided by v(n)?
1
Let c(t) = 4*t**2 - t + 4. Suppose -3*w - 12 - 7 = 2*r, 2*r + 5*w + 25 = 0. Let m be c(r). Suppose 3*i - m = -31. What is the remainder when i is divided by 14?
12
Suppose -k - 4*k + 150 = 0. Calculate the remainder when k is divided by 4 - 7 - -14*1.
8
Let f be 1/((-1)/2 + 1). Suppose -a + 42 = 5*h + f*a, h + 2 = 2*a. Let b = -280 + 290. Calculate the remainder when b is divided by h.
4
Suppose l + 0*s - 5 = -2*s, 0 = 4*l - 3*s - 75. Calculate the remainder when 43 is divided by l.
13
Calculate the remainder when ((-15)/(-10))/(9/222) is divided by 20.
17
Let s = -9 - -14. Suppose s*i + 2 = -3. Calculate the remainder when 21 is divided by -2 + i - 0 - -14.
10
Suppose 0 = w + w + 88. Let r = w - -79. Suppose -3 + r = 4*a. What is the remainder when 29 is divided by a?
5
Suppose 0*k - 66 = -2*k. Suppose -2*f + 3*f + 5*d + 3 = 0, -2*f + 2*d = -30. What is the remainder when k is divided by f?
9
Suppose -2*p + 54 = -32. Calculate the remainder when 127 is divided by p.
41
Suppose 3*q - 29 = 5*v, 21 = -q + 2*q + 4*v. Calculate the remainder when 25 is divided by q.
12
Let l = -3 + 3. Suppose l = b + b - 38. Calculate the remainder when b is divided by 7.
5
Let n be 0/(-1 - 1 - -1). Suppose 24 = 3*h - n*h. Let i = 2 + 3. Calculate the remainder when h is divided by i.
3
Let x = -17 - -59. What is the remainder when x is divided by 11?
9
Suppose 3*b - 350 = b. Suppose -27 + b = 4*o. What is the remainder when o is divided by 1*20 - (-12 - -13)?
18
Let d be 78/5 + (-10)/(-25). Suppose 5*p - 320 = -2*q + 4*q, -q = -5. Suppose p - d = 5*m. Calculate the remainder when m is divided by 4.
2
Let k(y) = y**2 + 6*y - 3. What is the remainder when k(2) is divided by 7?
6
Suppose -35 = -2*r - 2*m - 11, 2*r = 3*m + 34. Calculate the remainder when r is divided by 4.
2
Let k = -38 + 50. Calculate the remainder when 32 is divided by k.
8
Let z(h) = 8*h**2. Suppose 0 = -3*c - 4 - 8. Calculate the remainder when (4/6)/(c/(-90)) is divided by z(-1).
7
Let c(o) = o**3 + 1. Let h be c(-1). Suppose h*p = -3*p. Suppose 10 = -p*g + 2*g. What is the remainder when g is divided by 3?
2
Suppose 4*j = 5*a - 29, -2*a + j = -6 - 5. Suppose a*x + 5*t - 41 = 34, 0 = 2*x - 5*t + 5. What is the remainder when 6 is divided by 4/x + (-18)/(-5)?
2
Let c(u) = u**3 - 19*u**2 + 7*u - 1. What is the remainder when c(19) is divided by 19?
18
Suppose 0*m - 4*m + 176 = 0. What is the remainder when m is divided by 33?
11
Let f = -42 - -56. Calculate the remainder when 40 is divided by f.
12
Suppose -5*b - 75 = -0*s - 5*s, -50 = -2*s - 2*b. What is the remainder when 57 is divided by s?
17
What is the remainder when 9 is divided by 10/(-5) - 12*8/(-12)?
3
Suppose 0*q - q = -5*i - 91, 87 = q - 3*i. Let n = -17 - -29. Calculate the remainder when q is divided by n.
9
Suppose -p = 5*b - 27, b + 0 = 4. What is the remainder when 26 is divided by p?
5
Suppose 0 = 2*z + z - 51. What is the remainder when 67 is divided by z?
16
Suppose -k + 3*y = -5, -4*k = -3*k - 5*y - 7. What is the remainder when 3 is divided by k?
1
Suppose k = 2*j + j - 5, -j - 17 = -5*k. Suppose -70 = -5*p + j*p. Let v = -15 + p. What is the remainder when v is divided by 7?
6
Let t be -6 + -2*(2 + -1). Let c = -3 - t. Suppose -