s divided by 23.
20
Suppose 0 = 13*q - 10*q - 45. Suppose 7*z + 5*d - 145 = 2*z, 0 = -2*z + 4*d + 40. Calculate the remainder when z is divided by q.
11
Let c(i) = i**2 - 16*i + 8. What is the remainder when 12 is divided by c(16)?
4
Let b = -6 + 4. Let f be 2/10 + 9/5. Let o = f - b. Calculate the remainder when 13 is divided by o.
1
Suppose 0*b = 2*b + 4. Let n be 33/(-6)*(b - 0). Let y = 39 - n. What is the remainder when y is divided by 10?
8
Let z = -15 - -33. Calculate the remainder when z is divided by ((-10)/(-3))/(1/3).
8
Suppose -489 = 3*k - 1281. Calculate the remainder when (-2)/(2 - k/129) is divided by 22.
21
Let b(s) = -3*s - 1. Suppose -2*c - 369 = -2*k - 3*k, 4*k - 309 = -3*c. Let g = k + -43. Calculate the remainder when g is divided by b(-6).
15
Suppose -6*y + 92 = -4*y. Suppose 5*v + g = 12, v - 1 = 4*g - 7. Let u(t) = 4*t**2. Calculate the remainder when y is divided by u(v).
14
Suppose -4*p - 34 + 0 = -5*g, 0 = -3*g - 3*p + 42. What is the remainder when 28 is divided by g?
8
Let b = -117 - -54. Let k = -7 - 20. Let v = k - b. What is the remainder when v is divided by 19?
17
Suppose 3*g = -0*g + 54. Let l = -12 + g. What is the remainder when 22 is divided by l?
4
Suppose 0 = -r - j + 9, 0 = -r + 3*j - 2*j + 3. Let g(m) = 2*m + 5. Calculate the remainder when g(r) is divided by 10.
7
Let q = -3 + -1. Let g be -3*((-40)/(-6))/q. Suppose 7 = g*j - 58. What is the remainder when 38 is divided by j?
12
Suppose 9*b = 348 + 165. Calculate the remainder when b is divided by 15.
12
Let c = 16 + -11. Calculate the remainder when c is divided by (-18)/8*22/99*-6.
2
Let m(g) = 2*g**2 - g**2 - 11 + 13*g - g**2 - g**2. What is the remainder when m(11) is divided by 3?
2
Suppose 4*l - 23 = -5*k + 8*k, -43 = -5*l - k. Let b = 0 + 3. What is the remainder when l is divided by b?
2
Let l(m) = m**2 + 6*m + 15. Let k(g) = -g**2 + 6*g - 1. What is the remainder when l(-6) is divided by k(3)?
7
Let m = 46 + -27. Calculate the remainder when 50 is divided by m.
12
Suppose w - d + 70 = 2*w, -358 = -5*w - 3*d. Calculate the remainder when (-4)/6 + w/3 is divided by 9.
6
Suppose 0 = -7*p + 4*p - 6. Let d = p - -7. Suppose 2*g = -5*q + 40, -3*q + 2*q + d*g = -8. What is the remainder when 23 is divided by q?
7
Suppose 2*r - 78 = -2*n, 5*r - 4*n = -0*r + 177. What is the remainder when r is divided by 19?
18
Suppose -5*m = -73 - 72. What is the remainder when 81 is divided by m?
23
Let u be (-162)/12 - 3/2. What is the remainder when 8 is divided by (u/(-9))/((-2)/(-6))?
3
Let c = -8 + 17. Suppose 5*t - c = 2*t. Let f(x) = 2*x**2 - x - 2. What is the remainder when 38 is divided by f(t)?
12
Let j be 2/3 - 40/(-12). Suppose 32 = j*k + 8. Calculate the remainder when 52 is divided by ((-3)/k)/(1/(-36)).
16
Let t be 1/3 - (-174)/18. Suppose -3*k - 56 = -6*k + 5*j, -5*k + 4*j = -76. What is the remainder when 318/14 - t/(-35) is divided by k?
11
Suppose 7 = m - 12. Suppose -19*c + 1089 = -336. What is the remainder when c is divided by m?
18
Let v = 49 - 47. Let x be 3 + (-1 - -1)/(-1). Suppose -x = a - 7. What is the remainder when a is divided by v?
0
Suppose 6*j = j + 5. Let m be 2*18 - (-2 + j). Suppose 2 = k - m. What is the remainder when k is divided by 20?
19
Let k(f) = -3*f - 1. Let b be k(-1). Calculate the remainder when (1 + -2)/(b/(-58)) is divided by 16.
13
Let q(o) = o**2 - 3*o. Suppose -3*s + 15 = -0*s. What is the remainder when q(6) is divided by s?
3
Suppose -3*i = 2*j - 6*j + 153, -4*j - 5*i = -161. Calculate the remainder when j is divided by 14.
11
Let w be (38/(0 + 2))/(-1). Let n = w - -41. Let m(r) = -5*r + 2. Calculate the remainder when n is divided by m(-2).
10
Suppose -3*s - y = y - 93, -s = 3*y - 31. What is the remainder when s is divided by 11?
9
Let n be 35/(-2) - (-3)/(-2). Let i = -5 - n. Calculate the remainder when 55 is divided by i.
13
Let u(n) = -n**3 - 10*n**2 + 2*n + 33. What is the remainder when 89 is divided by u(-10)?
11
Suppose w = -3 - 0. Let f = w - -16. Suppose -5*v + 2*s + 109 = -24, -4*s - 66 = -2*v. What is the remainder when v is divided by f?
12
Let q(w) = w**3 - 4*w**2 + 3*w + 1. Let c be q(4). Let j = -7 + c. What is the remainder when 21 is divided by j?
3
Let q = 25 + -17. Let x(m) = -m**2 - 5*m - 3. Let k be x(-3). Suppose k = 4*o - 9. What is the remainder when q is divided by o?
2
Suppose -8 = -4*a + 6*a, -5*a = -2*m + 44. What is the remainder when 42 is divided by m?
6
Suppose -h = 0, 27*h - 26*h - 147 = -3*n. Suppose -2*l + 2 = -3*p - 26, 2*l = -4*p + 42. Suppose -l = -0*o - o. Calculate the remainder when n is divided by o.
15
Let j be (5/(-4))/((-3)/252). Let u = -47 + j. Suppose 4*v - v - 3*g - 42 = 0, 0 = -4*v + 2*g + u. Calculate the remainder when 43 is divided by v.
13
Let j = -15 + 36. What is the remainder when j is divided by 8?
5
What is the remainder when 28 is divided by 17/1 + 1 + 9/(-3)?
13
Let a be 42 + -3 - 2/2. Suppose -4*r + a = -74. Calculate the remainder when r is divided by 10.
8
Let l(p) = 15*p + 1. Calculate the remainder when l(4) is divided by ((-48)/20)/((-3)/20).
13
Suppose 2*u - 1 - 3 = 0. Suppose 13 - 2 = 5*g - 2*h, 3*h - 21 = -5*g. Calculate the remainder when g is divided by u.
1
Suppose 16*t - 45 - 19 = 0. Calculate the remainder when 5 is divided by t.
1
Let i(h) = h**2 - 11*h - 12. Let q be i(12). Suppose q*u - 4*u = -76. What is the remainder when u is divided by 10?
9
Let h = 296 + -194. Suppose 138 = 12*d - 42. Calculate the remainder when h is divided by d.
12
Let d = 5 + -2. Suppose -4*y + 5*z = y, 0 = y + z - 8. Suppose 0 = -y*s + 63 - d. What is the remainder when 29 is divided by s?
14
What is the remainder when 74 is divided by -4*25/(-20) - -2?
4
Suppose -3*x - 3 = 24. Let i be -40*(-3)/(x/(-3)). Let l = i + 21. Calculate the remainder when l is divided by 16.
13
Let n(a) = -a**3 + 13*a**2 + 14*a + 15. What is the remainder when 25 is divided by n(14)?
10
Suppose 2*f + 2*f + 12 = 0. What is the remainder when 29 is divided by (-10)/(-2 - (f - -2))?
9
Let c = 104 + -56. What is the remainder when c is divided by 17?
14
Let b(s) = s + 5. Let p be b(-4). Let m = p + 3. Suppose 0 = -7*o + m*o + 18. What is the remainder when 10 is divided by o?
4
Let r(y) = y**2 + 2*y - 2. Let p = -35 + 39. What is the remainder when r(2) is divided by p?
2
Let o(t) = 2*t + 2. Suppose 0 = -2*v - 0*v. Let j be (1 - v) + 6 - 1. What is the remainder when 40 is divided by o(j)?
12
What is the remainder when (-4 + 19)/(-5) - -32 is divided by 10?
9
Let j(f) = 17*f - 1 - 51*f - 1 - 35*f. What is the remainder when j(-1) is divided by 14?
11
Suppose 0 = 5*w + 5*h - 208 - 7, 3*w + 2*h = 129. What is the remainder when w is divided by -5*(-2 + 1 - 2)?
13
Let u be (69/(-12))/((-1)/20). Suppose -5*r = -5*w - 250, 2*r + 0*r - 5*w - u = 0. Let l = r - 14. What is the remainder when l is divided by 11?
9
Let f = 29 - -5. Calculate the remainder when f is divided by ((-1)/1)/((-1)/12 - 0).
10
What is the remainder when 68 is divided by (-1)/(-3) + 205/15?
12
Let c = 11 + 1. Calculate the remainder when c is divided by 5.
2
Let g(a) = -a**3 + 18*a**2 + 9 - 6*a**2 + 19*a - 4*a. Let x be g(12). What is the remainder when ((-6)/9)/((-6)/x) is divided by 8?
5
Calculate the remainder when ((-2)/10)/(14/(-1190)) is divided by 5.
2
Let u = -45 - -88. Calculate the remainder when u is divided by 4.
3
Let a(v) = -v**3 + 7*v**2 - 4*v + 3. Let c = 25 + -19. Calculate the remainder when a(6) is divided by c.
3
Let b(j) = -41*j**3 - 4*j**2 + 4*j + 5. Let s(t) = -41*t**3 - 5*t**2 + 5*t + 6. Let q(y) = -6*b(y) + 5*s(y). What is the remainder when q(1) is divided by 21?
20
Suppose 2*c - 2 - 28 = 0. Calculate the remainder when 42 is divided by c.
12
Suppose 8 = 2*j - 0. Let y = j - 1. Calculate the remainder when 16 is divided by y.
1
Suppose -2*v + 76 = -80. Let i(k) = k**3 + 3*k**2 + 2*k + 5. Let l be i(-5). Let b = l + v. What is the remainder when b is divided by 8?
7
Suppose -3*l = 12 - 3. What is the remainder when 49 - l - (-1 - -3) is divided by 13?
11
Let k = -39 + 52. Let t = 23 + -15. Calculate the remainder when k is divided by t.
5
Suppose 0 = -0*u - 4*u + 28. Let k = 3 - 5. Let z(l) = -3*l - 2. Calculate the remainder when u is divided by z(k).
3
Suppose 4*k = t - 37 + 209, 