e remainder when n is divided by 61.
22
Let a = 24 - 19. Suppose -5*c + s = 167, -a*c + s = -4*s + 155. Let r = c - -58. What is the remainder when 69 is divided by r?
21
Let y be 524/(-12) - (-2)/(-6). Let p = -28 - y. Let d = -3 - -9. What is the remainder when p is divided by d?
4
Suppose 0*s = -3*s + 24. Suppose 0 = -s*m + 3*m + 155. What is the remainder when m is divided by 8?
7
Let j(g) = g**2 - g - 10. Calculate the remainder when 229 is divided by j(-4).
9
Let g = -51 - -57. What is the remainder when ((-316)/6 - 0)/((-2)/g) is divided by 20?
18
Let h(d) = d**2 - 3*d - 13. Let l(r) = -r**3 - r**2 - r. What is the remainder when h(10) is divided by l(-2)?
3
Suppose -12*k = -12, 58 = 3*u + 8*k - 13*k. Calculate the remainder when 66 is divided by u.
3
Suppose 0*l = -4*l + 48. Let f be -2 - -7 - 4 - -3. Suppose -f*c + 7 = 2*x + 1, -2*x - 2*c = -10. Calculate the remainder when l is divided by x.
5
Suppose 0*w + w = 2, 33 = c + 2*w. Suppose c = r + 1. Calculate the remainder when r/1 + 3 + -3 is divided by 15.
13
Let l(q) = -3*q**2 + 5*q - 1. Let o(g) = -7*g**2 + 11*g - 2. Let m(s) = -5*l(s) + 2*o(s). What is the remainder when 27 is divided by m(4)?
2
Suppose z = 13 - 11. Suppose -z*y - y = -27. What is the remainder when 13 is divided by y?
4
Suppose -5*u = -x - 80, 4*u - 7 = 5*x + 36. Let s(q) = q**2 + 28*q + 82. What is the remainder when s(0) is divided by u?
14
Let n = -102 + 161. What is the remainder when 115 is divided by n?
56
Suppose p = 2*a - 2*p - 15, 2*a = p + 21. Let f(z) = -8*z**2 + 13*z**2 - 4*z**2 + z + 4. Calculate the remainder when a is divided by f(0).
0
Let a(i) be the third derivative of i**5/10 + i**4/4 + 2*i**3/3 - 31*i**2. Calculate the remainder when a(-2) is divided by 2/(-3) - (-35)/3.
5
Let u be -4*(0 - 1) - 12. Let p = -4 - u. Suppose -6*f + 71 + 43 = 0. Calculate the remainder when f is divided by p.
3
Let q(n) = n**2 - 2*n - 11. Let j be q(4). Calculate the remainder when j + 1 + 1 - (-36)/3 is divided by 5.
1
Suppose -f - 4 = 0, 4*r + 5*f - 367 = -111. Suppose -y = -r + 16. Let x = -58 - -76. What is the remainder when y is divided by x?
17
Let u = -43 - -69. Calculate the remainder when 33 is divided by u.
7
Suppose -q - 3*k + 0*k = -50, 5*q = k + 186. Let m = -17 + q. Calculate the remainder when 80 is divided by m.
17
What is the remainder when 5 is divided by (200/(-60))/(4/(-6))?
0
Let z = 138 + -135. Let v be ((-20)/(-8))/((-2)/(-4)). Suppose 3*j - j = 2, 0 = -2*t - v*j + 15. Calculate the remainder when t is divided by z.
2
Suppose -5*a = -4*z + 49, 3*z - 5*a = -2*z + 55. Let q(k) = -2*k + 11. Let w be q(-17). Let u = -28 + w. Calculate the remainder when u is divided by z.
5
Suppose -5*j + 90 = -5*i, -3*i = 4*j - 42 - 44. Calculate the remainder when j is divided by 6.
2
Suppose 0 = 2*l - 3*l - 2, -2*g - 2 = l. Suppose g = 4*i - 28 - 0. Calculate the remainder when 11 is divided by 5 + i/(28/8).
4
Suppose -38*j + 1392 = -14*j. Calculate the remainder when 223 is divided by j.
49
Let i(c) = 3*c. Calculate the remainder when i(2) is divided by 3*12/27*303/202.
0
Suppose 2*t + 8 = 6*t. Suppose 0 = c + 2, t*h - 8 - 10 = -c. Calculate the remainder when 29 is divided by h.
9
Let n = -7 + 9. Suppose -n*g - 8 = -g. What is the remainder when 49 is divided by g/(-12)*(-51)/(-2)?
15
Suppose -4*b + 25 + 47 = 0. Suppose -3*a = 3 - b. Suppose -c = 5 - 13. Calculate the remainder when c is divided by a.
3
Let p be (-3)/(0 + 2/(-74)). Suppose 0 = 2*i + 4*y - 13 - 41, -3*i + 4*y = -p. What is the remainder when 1752/18 + 1/(-3) + 0 is divided by i?
31
Suppose 3*k = 15, -5*p - 4*k + 0*k = -140. What is the remainder when 57 is divided by p?
9
Let i = 1 + 3. Let w = i - -13. What is the remainder when ((-44)/6)/((-2)/9) is divided by w?
16
Let d = -27 + 32. Suppose c - 711 = -2*c + d*r, -9 = 3*r. Suppose 5*l = c + 58. Calculate the remainder when l is divided by 15.
13
Let f = 742 + -455. Calculate the remainder when f is divided by 72.
71
Let o(q) = -694 + 0*q - 3*q + 4*q + 703. Suppose -3 = c + 1. Calculate the remainder when 17 is divided by o(c).
2
Suppose -3*q = -q - 152. What is the remainder when q is divided by (-1216)/(-24) + -8 + (-15)/9?
35
Suppose 0 = -p + 309 - 288. What is the remainder when (81/2)/(1/2) is divided by p?
18
Let f(o) = -o**2 + 25*o + 29. Let v be f(26). Suppose 5*b - v*g = 89, 0 = -2*g - 6. Calculate the remainder when 31 is divided by b.
15
What is the remainder when 19 is divided by 110/45 + (-4)/9?
1
Let p = 62 + -64. Let c(f) = -22*f - 13. What is the remainder when 90 is divided by c(p)?
28
Suppose 3*m = f, 3*f - 4*m + 30 = 5*f. What is the remainder when 112 is divided by f?
4
Let h be 2 + -1 + -5 + -1 + 7. Suppose -2*o + 64 = -2*j, h*o + 4*j + 93 = 5*o. Calculate the remainder when 208 is divided by o.
33
Let l be 28 + 2 + 1 + -3. Suppose 0 = -4*x + l + 224. Let f = -1626 + 1648. Calculate the remainder when x is divided by f.
19
Let n = 36 + -22. Suppose -4*d - 5*h + 262 = -111, 0 = -5*h + 45. Calculate the remainder when d is divided by n.
12
Let c(u) = u**3 - 2*u**2 - 5*u + 6. Let d be c(3). What is the remainder when (d - 10/25)*-110 is divided by 12?
8
Suppose 0 = 44*c - 24*c + 520. Let u be (-4)/10 + 232/5. Let k = c + u. Calculate the remainder when k is divided by 7.
6
Suppose -z + 31 = -5*o, -z - 55*o + 53*o = -24. What is the remainder when 84 is divided by z?
6
Let m(y) = y**3 + 4*y**2 + y - 3. Let a be m(-3). Suppose 0 = -n - 0*n + 12. Suppose -a*x = -0*x - n. Calculate the remainder when 6 is divided by x.
2
Let b(v) = 58*v**2 - 5*v + 6. Let h = 15 - -5. Calculate the remainder when b(1) is divided by h.
19
Suppose -3*a + 2*r - r = 12, 0 = 2*a + 4*r - 6. Let k = 4 + 2. Let q = k - a. Calculate the remainder when 26 is divided by q.
8
Let s(j) = 2*j**2 - 2*j + 44. What is the remainder when 52 is divided by s(0)?
8
Calculate the remainder when 37 is divided by (-20)/(-3)*(-30)/(-350)*63.
1
Suppose -4*d + 165 = -5*g, -2*d + 0*g + 95 = -5*g. Calculate the remainder when 419 is divided by d.
34
Let k(p) = 7*p + 20. Let x(h) = -3*h + 3. Let n be x(5). Let d = n - -33. Calculate the remainder when k(9) is divided by d.
20
Let t = 12 - 13. Let d be 4/10*t*-75. Suppose d = 5*i - 0*i. What is the remainder when i is divided by 4?
2
Suppose -4*u - r = -27 - 216, 3*r = -5*u + 309. What is the remainder when 176 is divided by u?
56
Let t = 75 - -33. Suppose 0 = p - a + 5*a - 34, -9 = -3*a. Calculate the remainder when t is divided by p.
20
Let v = -24 + 18. Calculate the remainder when 13 is divided by (-2)/v - (-56)/12.
3
Suppose j - k - 70 = 0, -9*k = -5*j - 7*k + 362. Calculate the remainder when j is divided by 22.
8
Let b(r) = -r**2 + 13*r - 14. Let q be b(6). Let h be ((-17)/3)/((-1)/(-3)). Let z = h + q. What is the remainder when 42 is divided by z?
9
Let y = 2137 - 2128. Calculate the remainder when 126 is divided by y.
0
Let g = 2391 + -2357. What is the remainder when 1699 is divided by g?
33
Suppose 154 = b - 5*g, -6*b + 4*b + 308 = -5*g. What is the remainder when b is divided by 71?
12
Suppose 2*j - 1888 = 6*j. Let m = -289 - j. Calculate the remainder when m is divided by 31.
28
Let g(q) = 379*q**2 + 26*q + 4. Let r(d) = 76*d**2 + 5*d + 1. Let c(h) = -2*g(h) + 11*r(h). Calculate the remainder when c(-1) is divided by 8.
6
Let f(t) be the third derivative of -t**4/24 + 5*t**3/3 + 4*t**2. Calculate the remainder when 69 is divided by f(-8).
15
Let k = 123 - -22. What is the remainder when k is divided by 26?
15
Let n(a) = -4*a + 3. Suppose 2*r - 30 = -3*r. Let q be (-6)/(-36) + (-25)/r. Calculate the remainder when n(q) is divided by 4.
3
Suppose 4*f - 15 = -f, f = -3*u + 18. Suppose -3*z + 10 = -u. Let x(y) = -2*y + 12. Calculate the remainder when 7 is divided by x(z).
1
Suppose i - 5 = -0*i. Suppose -2*j - 8 = n - 3*n, -5*j = -4*n + 16. Suppose j = 2*t - 2. What is the remainder when i is divided by t?
0
Let h = 6 - 1. Suppose -5*v = -5*a + h, 4*a - 2*a + v - 8 = 0. Suppose -8 = -y - a. What is the remainder when 11 is divided by y?
1
Let u = 423 + -391. What is the remainder when 414 is divided by u?
30
Let y(a) = -25*a + 27. Let b(d) = -8*d + 9. Let h be 7 + (0 - 1)/1. Let o(l) = h*y(l) - 17*b(l). Calculate the remainder when o(-3) is divided by 13.
12
