at is the remainder when 5 is divided by r(7)?
1
Let d = -23 + 53. Suppose d = 4*t - 26. What is the remainder when 54 is divided by t?
12
Let b(k) = 18*k**3 + 2*k**2 - 1. Let r be b(1). Suppose o + 6 = r. What is the remainder when 25 is divided by o?
12
Suppose -3*w - 395 = 2*w. Let g = w + 136. Calculate the remainder when g is divided by 20.
17
Let q(i) = -i**2 + 7*i + 44. Calculate the remainder when 26 is divided by q(10).
12
Let f = -37 + 50. Calculate the remainder when 48 is divided by f.
9
Let j = -20 + 24. Suppose 0 = j*o + 4*x + 8, -3*x + x - 10 = 0. What is the remainder when 7 is divided by o?
1
Suppose 6*j - 3*j = 3*i + 81, -2*i + 96 = 4*j. Let c(w) = 0*w**2 + 3*w + 4*w**2 - 1 + 0 + 2 - w**3. What is the remainder when j is divided by c(4)?
12
Let s(c) = 59*c**3 - c**2 - 2*c + 1. What is the remainder when s(1) is divided by 20?
17
Suppose -12*q = -18*q + 252. Suppose 5*s - 10 = 0, 0*s - 17 = -z - 3*s. What is the remainder when q is divided by z?
9
Suppose 3*a - 2*a + 3*i = -14, 0 = 5*a + i. What is the remainder when 1 is divided by a?
0
Let n = 11 - -2. Calculate the remainder when 23 is divided by n.
10
Suppose 0 = -4*d - 0*d + 188. Suppose 2*b - 5*z - d = 0, 25 = -z - 4*z. Let c(w) = w**2 - 3*w + 4. Calculate the remainder when c(-4) is divided by b.
10
Suppose 5*r = z + 82, -5*z = -5*r - 3*z + 79. Suppose 8*g = 82 + 174. What is the remainder when g is divided by r?
15
Let w = 42 - 34. What is the remainder when 45 is divided by w?
5
Suppose 0 = -5*d + 6*d - 12. What is the remainder when 3 + -4 - (-1 + -34) is divided by d?
10
Let d = 8 + -3. Suppose -5*w + 17 = -3. Suppose -2*n = 3*h - 9 - 6, -h - w*n + 15 = 0. What is the remainder when d is divided by h?
2
Suppose 82 = l + l. Calculate the remainder when l is divided by 14.
13
Suppose -3*p + 3*j + 0 = 6, 4*p - 20 = -3*j. Suppose -5*x + 174 = 2*r, p*x = -2*x - 4*r + 144. What is the remainder when x is divided by 18?
16
Suppose -401 = -6*i + 649. What is the remainder when i is divided by 22?
21
Let k(d) = 4*d**3 + 3*d**2 - d + 10. Calculate the remainder when k(3) is divided by 36.
34
Suppose -4*n = n - 95. Calculate the remainder when 75 is divided by n.
18
Let w = 16 + -8. Suppose 8 + w = m. Calculate the remainder when 31 is divided by m.
15
Suppose -s + 188 = -0*h + h, -3*s - 5*h + 568 = 0. What is the remainder when s is divided by 47?
45
Let j(a) = -a**2 + 10*a - 4. Let w be j(10). Let y be -2*((-10)/(-4) - 2). Let u = y - w. What is the remainder when 5 is divided by u?
2
Suppose 4*s = 18 + 94. Calculate the remainder when s is divided by 20 - (4 - 4/(-8)*2).
13
What is the remainder when 1 - (-11 - -6)*34/5 is divided by 18?
17
Let j(n) = -7*n**3 + 15*n**2 - 11*n - 4. Let b(x) = -3*x**3 + 7*x**2 - 5*x - 2. Let o(m) = 9*b(m) - 4*j(m). Calculate the remainder when o(3) is divided by 25.
24
What is the remainder when (-4 - -41)*(-3 + 6) is divided by 28?
27
Suppose f - 57 = -f - 5*m, 5 = -5*m. Calculate the remainder when f is divided by 11.
9
Let u(t) = t**3 + 19*t**2 + 13*t + 18. What is the remainder when u(-18) is divided by 37?
34
Let p(a) = a - 7. Let u be p(5). Let y = 2 - u. Suppose 74 = -r + 4*r + y*v, -5*r + 114 = 2*v. What is the remainder when r is divided by 12?
10
Suppose -4*z + 6 = -3*z. Calculate the remainder when z is divided by 20/(-24) - (-116)/24.
2
Let k = 153 + -147. Suppose h - 4 - 3 = 5*d, 25 = h + d. What is the remainder when h is divided by k?
4
Suppose -4*p = -20, -3*p + 35 = -3*i + 4*i. Let k = 5 + i. What is the remainder when 74 is divided by k?
24
Let d(m) = m**2 + m + 15. Let w = -272 + 401. Suppose z = 4*z - w. What is the remainder when z is divided by d(0)?
13
Let p = 1 - -5. Suppose -2*f = -l - 25, 2*f + l - p*l - 21 = 0. What is the remainder when 24 is divided by f?
11
Let m = -325 - -549. Suppose f = 5*f - m. What is the remainder when f is divided by 29?
27
Let r be 1 + 5/(15/6). Suppose -2*o - r*l = -10, 3 = 3*o - 2*l + 1. Let m = 23 - o. What is the remainder when m is divided by 11?
10
Suppose -2*l = -15 - 7. Suppose i - 4*y = 19, -2*i - 4*y = -i - 19. What is the remainder when i is divided by l?
8
Suppose 3*r = 4*f + 13, 5*f - 2*f = -4*r + 59. What is the remainder when r is divided by 4?
3
Let z(l) = -l**2 - 9*l - 9. Calculate the remainder when 19 is divided by z(-7).
4
Let x be ((4 - 3)*0)/3. Let j = 13 - 6. Suppose x = 3*u - j*u + 272. What is the remainder when u is divided by 23?
22
Let a(j) = -j**2 - 8*j - 7. Let r be a(-7). Suppose -2*m - 2*m + 12 = r. Calculate the remainder when m is divided by 2.
1
Suppose 12 = n + 2*n. Suppose n*o + s - 17 = 0, -2*s = -o + 2*s - 17. Suppose 7 = x - a - 24, -2*x + 58 = -o*a. Calculate the remainder when x is divided by 12.
11
Let x(w) = -w**3 - w + 11. What is the remainder when x(0) is divided by 28/6 - (-10)/(-15)?
3
Suppose 6 = 3*j - 0*j. Let r = 4 + -2. Suppose 6 = r*l - 5*t, 2*l - 12 = -j*l + 5*t. What is the remainder when l is divided by 2?
1
Suppose -2*k = -6*k + 52. Suppose -5*x = -0*o + 5*o - 105, -x + 5*o + 27 = 0. Suppose 78 + x = 4*v. What is the remainder when v is divided by k?
12
Suppose g - 6 - 5 = 0. Suppose -5*v + 33 = 13. Suppose -j - v*o = -8, 2*j = 3*o + o + 4. What is the remainder when g is divided by j?
3
Suppose -5*a + a + 28 = -4*k, -3*k + 7 = 4*a. Suppose -l = -a*l + 90. Calculate the remainder when l is divided by (-8)/(2/(-4) - 0).
14
Calculate the remainder when 187 is divided by (76 + 0)*(5/(-2))/(-5).
35
Let a(d) = -7*d. Suppose 7*g - 2*g - 4*f - 71 = 0, 5*g - 2*f - 73 = 0. What is the remainder when a(-4) is divided by g?
13
Suppose -3*y - 3*v = -105, -y = 2*v + v - 25. Let r be (y/(-6))/((-8)/12). Let z(k) = k**2 - 11*k + 12. Calculate the remainder when z(r) is divided by 1.
0
Suppose -4 = -3*j + j. What is the remainder when 13 is divided by -1 - -9 - (j - 2)?
5
Let d = 2 + 1. Suppose 0 = -5*v - 75 + 980. Suppose -d*o + v = 5*a, -2*o = -0*a + 3*a - 121. What is the remainder when o is divided by 21?
20
Let z = 41 + -37. What is the remainder when 5 is divided by z?
1
Let k(h) = h**2 + 2*h + 3. Let y be k(-2). Suppose -101 = -y*x - 4*u, -3*x + 67 = -x + 3*u. What is the remainder when x is divided by 19?
16
Let w = -4 + 9. Let r be 18/30 - 26/10. Let u = r + 4. What is the remainder when w is divided by u?
1
Let n = -1 + 5. Suppose 2*m = -k - 36, -m + 144 = -n*k - 3*m. Let c = -26 - k. Calculate the remainder when 18 is divided by c.
8
Let h = 128 - 116. Calculate the remainder when h is divided by (0 + -6)*4/(-3).
4
Suppose 348 = 27*l - 21*l. What is the remainder when l is divided by 30?
28
Let c(k) = k**3 + 7*k**2 - 3*k + 1. Let u = -10 + 16. What is the remainder when c(-7) is divided by u?
4
Let t(x) = -13*x**3 + x + 2. Let j = -2 + 7. Calculate the remainder when t(-1) is divided by j.
4
Let p(u) = -u**3 + 4*u**2 - u + 2. Let k = -2 - -1. Let w = k + 6. What is the remainder when p(2) is divided by w?
3
Let a be ((-1)/(-3))/((-2)/42). Let c = -2 - a. Calculate the remainder when c is divided by 3.
2
Let v(c) = -c**3 - 3*c**2 + 1. Let d be v(-2). Let h be d*(-1)/3 - -13. Suppose -3*b = -h - 25. What is the remainder when 37 is divided by b?
11
Let s(w) = w**3 - 8*w**2 + 9*w - 8. Let v be s(7). Suppose 4*j - j + v = 0. What is the remainder when 2 is divided by (1/j)/((-5)/10)?
0
Suppose 2*m + m = 6. Let k = 2 + m. What is the remainder when k is divided by 2?
0
What is the remainder when (2668/115)/(2/5) is divided by 15?
13
Let i = 1 + 20. Suppose 2*q - i + 3 = 0. Suppose q*o - 200 = 4*o. What is the remainder when o is divided by 14?
12
Suppose 18*s = 20*s - 46. Let r be (-2)/2*-2 - -1. Calculate the remainder when s is divided by 35/r + (-3)/(-9).
11
Let m be (-6)/10*(-16 + 1). Suppose -4*w + 304 = -3*k, -w + 85 - m = 4*k. Calculate the remainder when w is divided by 26.
24
Suppose -2*a - 2*a + 4*s + 176 = 0, 0 = -5*a - 3*s + 180. What is the remainder when 193 is divided by a?
37
Let r(l) = -l**2 + 10*l + 4. What is the remainder when 19 is divided by r(10)?
3
Let s(w) = -w**2 - 8*w + 10. Suppose -2*o = -3*t + t + 10, 5*o - 10 = -2*t. Suppose 0*y + 2*y - 96 = o. What is the remainder when y is divided by s(-5)?
23
Let w(l) = l**2 + 5*l - 6. What is the remainder when w(-10) is divided by 16?
12
Calculate the remainder when 8