t is the remainder when (-27)/((-2)/(-3) + 35/n) is divided by 11?
5
Let z = 0 + 3. Let s = -5397 - -5400. What is the remainder when s is divided by z?
0
Suppose 7*u = 4*u + 9. Suppose -w + 3*y + 31 = 2*y, u*w = y + 89. What is the remainder when w is divided by 15?
14
Let o(m) = 2*m**2 - 8*m + 16. Suppose -5*j + 0*j = -35. Calculate the remainder when o(j) is divided by 15.
13
Let b be (-5)/5*(-6 - -1). Suppose -4*k + 26 = -3*k - b*d, 4*k + 4*d - 56 = 0. Let v = 33 - k. What is the remainder when 66 is divided by v?
15
Let r = -114 - -161. Suppose -4*b = -r - 1. What is the remainder when 23 is divided by b?
11
Suppose 3*y - h - 26 = 0, 7*y + 2*h = 10*y - 28. What is the remainder when 709 is divided by y?
5
Suppose 23*m = 27*m - 2252. What is the remainder when m is divided by 94?
93
Suppose -319 = -h - 4*p, 0*h + 3*h = 3*p + 897. Calculate the remainder when h is divided by 18.
15
Let p(f) = 97*f**3 + 2*f - 1. Let m be p(1). Let k = m - 73. What is the remainder when k is divided by 10?
5
Suppose 3*k = 305 - 266. Calculate the remainder when 101 is divided by k.
10
Let u = -241 + 303. What is the remainder when u is divided by 17?
11
Suppose 0 = 8*x + 4*x - 156. What is the remainder when 126 is divided by x?
9
Let c(l) = 6*l - 18. Let w be c(6). What is the remainder when 88 is divided by w/(-4)*(-3 - 1)?
16
Let c(g) = g**3 - 7*g**2 + g - 22. Let b be c(9). Let s = -252 - -151. Let x = b + s. What is the remainder when x is divided by 17?
14
Let i = -36 - -21. Let c = -295 - -290. Calculate the remainder when (1 - -6)*i/c is divided by 8.
5
Let u(f) = -f + 8. Let y be u(5). Suppose -2*t = -y*t + 29. What is the remainder when t is divided by 10?
9
Suppose 15 + 13 = 4*k. Let m(x) = -x**2 + 8*x + 16. Calculate the remainder when m(k) is divided by 25/4 - (-5)/(-20).
5
Suppose 0 = 3*q - 4*x - 2159, 3*q + 605 = 5*x + 2760. Suppose a + 4*a - q = 0. Calculate the remainder when a is divided by 2*(-1)/1*259/(-14).
34
Let p(w) = -w**2 + 36*w - 241. Let y = 954 + -674. What is the remainder when y is divided by p(12)?
45
Suppose 51*b = 21*b + 8760. Calculate the remainder when b is divided by 44.
28
Let j be -2*(-1 - -1 - 2). Suppose -2*n + 2 = j, -2*q = -4*n - 26. What is the remainder when ((-86)/8)/(-2*(-8)/(-64)) is divided by q?
10
What is the remainder when (12104/51)/(-1 + (-5)/(-3)) is divided by 17?
16
Suppose 0 = -2*i - 2*i + 180. Let f = -6851 + 7027. Calculate the remainder when f is divided by i.
41
Let b be 2/(-6) - 13/(-3). Let a(p) = -3 - 5 - 692*p**2 + 4 + 694*p**2 - 5 + p. Calculate the remainder when 78 is divided by a(b).
24
Let m be -1 + -4*(-2)/8. Suppose -o = -3*o + c + 160, 4*o - 4*c = 316. Calculate the remainder when o is divided by 3 + m/(-3) - -18.
18
Suppose -m - 45 = -2*m + 5*v, -v - 149 = -3*m. Let w = 71 - m. What is the remainder when 81 is divided by w?
18
Suppose 180 + 575 = 5*s. Let x = -77 + s. Let u = x + -50. What is the remainder when 45 is divided by u?
21
Suppose q = 4*g + 7, g - 4*q = -q + 1. Calculate the remainder when 38 is divided by 13 + g + 22/11.
12
Suppose -6*g + 2 = 20, 2*g + 141 = 5*o. Calculate the remainder when o is divided by 14.
13
Suppose 177 = 14*p - 565. Let h(s) = 2*s + 2. Let a be h(3). Suppose t + 2*v - a = 0, 2*t - 3*v + v = 34. Calculate the remainder when p is divided by t.
11
Let f(k) = 13*k - 27. What is the remainder when 186 is divided by f(5)?
34
Suppose 442 = 38*c - 128. What is the remainder when 69 is divided by c?
9
Suppose -489 + 1347 = 39*b. Calculate the remainder when 637 is divided by b.
21
Let m = -9 + 44. Calculate the remainder when 207 is divided by m.
32
Let k(a) = 2*a**2 - 6*a - 72. Calculate the remainder when k(11) is divided by 21.
20
Suppose -l + 2*i = -5, 3*i = i - 2. Suppose -6*a + 85 = -a. What is the remainder when 50 - 0/((-9)/l) is divided by a?
16
Let c(u) = -u**2 + 12*u - 19. Let w be c(12). Let x = 30 + w. Let k = -52 - -93. Calculate the remainder when k is divided by x.
8
Let b(l) = 25*l + 135. Suppose 0 = 4*g + g. Suppose -3*i + g*i = -36. What is the remainder when b(-4) is divided by i?
11
Let k = -6 + 8. Let w(m) = -m**3 + 4*m**2 - 4*m + 3. Let v be w(k). Suppose 4 = v*r - 20. Calculate the remainder when 12 is divided by r.
4
Suppose 6*p + 341 = 407. Calculate the remainder when 219 is divided by p.
10
Suppose 45 = 6*s - s. Let w = 4 - s. What is the remainder when (6 - 1)/(w/(-25)) is divided by 13?
12
Suppose -3*s + 18 = p, -1 = p - 4. Calculate the remainder when s is divided by 3.
2
Suppose 3*x + 5*z = 282, -z + 27 = 2*x - 154. Calculate the remainder when x is divided by 45.
44
Let a = 1 - -64. Calculate the remainder when a is divided by 11/(-3)*3 + 30.
8
Let k be ((-1)/(-1))/1 - -2. Suppose -k*m + 4 + 5 = 0. Suppose s = -8, -2*w + 2*s + 28 + 14 = 0. What is the remainder when w is divided by m?
1
What is the remainder when 67 is divided by 50/(-20)*((-6)/15 + -2)?
1
Let b(g) = -3*g**2 - 13*g - 5. Let n be b(-5). Let h(p) = -p**2 - 23*p - 22. What is the remainder when h(n) is divided by 25?
23
Suppose i + 5*z - 546 = 0, i - 4*i - 3*z = -1614. Calculate the remainder when i is divided by 9.
5
Suppose 11*o = 227 - 73. Calculate the remainder when 70 is divided by o.
0
Suppose -3*k + 41 = -4*r, 6*r = r - 4*k - 28. Let g(j) = j**3 + 9*j**2 + 9*j + 12. Calculate the remainder when g(r) is divided by 3.
1
Let q(n) = -n**3 + 5*n**2 + 4*n. Let s be q(6). What is the remainder when (-342)/(-8) + (-3)/s is divided by 11?
10
What is the remainder when 320 is divided by -5 + (-6)/33 + 1064/44?
16
Let v be 115/20 - 9/12. Suppose v = -0*y + y. Suppose -z = 2*r - 27, -y*z - 25 = -0. What is the remainder when 46 is divided by r?
14
Suppose -2*a - 324 = -4*h - 0*a, -2*h + 2*a = -166. Let m = -35 - -38. What is the remainder when h is divided by (m/(-1))/(7/(-63))?
25
Suppose 0 = -4*q + 69 + 35. Suppose 126 = -5*g + 19*g. What is the remainder when q is divided by g?
8
Suppose 2*m - 4*c = 560, -3*c - 658 = -2*m - 93. Calculate the remainder when m is divided by 27.
20
Let i = 1247 + -1201. Calculate the remainder when i is divided by 17.
12
Suppose -3*o - 27 = 3*a, -3*a - 7 = -5*o + 3*o. Let p be o*(3 + 6/(-8)). Let c = 24 + p. Calculate the remainder when c is divided by 6.
3
Suppose -8*v + 83 = -240 - 381. Let c = 12 - 3. What is the remainder when v is divided by c?
7
Let t = -68 - -146. Suppose -3*m + t = -60. Calculate the remainder when m is divided by 16.
14
Let f(t) = t**3 + 5*t**2 + t - 5. Let l be f(-4). Suppose -l - 5 = 3*u. Calculate the remainder when u - -35 - 4/(-2) is divided by 9.
6
Suppose 9*u + 636 = 21*u. What is the remainder when u is divided by 32?
21
Let t(k) = -5*k + 12. Let c be t(6). Let o = c + 64. Let i(j) = -j**3 - 3*j**2 + j. Calculate the remainder when o is divided by i(-4).
10
Let y be (4/(-3))/((-18)/(-81)). Let g = -14 - -24. Calculate the remainder when ((-9)/y)/(3/g) is divided by 4.
1
Suppose -g - 4*f + 26 = 0, 2*f + 64 = -0*g + 5*g. Let n = g - -7. What is the remainder when 58 is divided by n?
16
Suppose -19 = -5*m - 4*n, -m - n - 1 + 5 = 0. What is the remainder when m*4*5/20 is divided by 1/((-2)/(-2))*1?
0
Let m(a) be the first derivative of a**4/4 - 8*a**3/3 - 23*a**2/2 - 33*a - 34. Calculate the remainder when m(11) is divided by 21.
14
Let u(v) = 4*v**2 + 19*v + 5. Suppose -3 = -2*o + 17. What is the remainder when u(-7) is divided by o?
8
Let c be 2/5 - 1654/10. Let s be c/(-44) + 1/4. Calculate the remainder when 202/8 + s/(-16) is divided by 14.
11
Suppose -7*v + 4*s - 31 = -8*v, -5*s - 82 = -4*v. Calculate the remainder when 274 is divided by v.
21
Let j = 14 - -14. Let s = j - 13. Calculate the remainder when (3/(-2))/(6/(-236)) is divided by s.
14
Let m be 1/2*(-5 - -5). Suppose -5*h + 15 = m, 5*h - 6 = -g - 45. Let v = g + 91. What is the remainder when v is divided by 13?
11
Let g = 1226 - 1177. What is the remainder when (-1)/((-4)/(-18))*-32 is divided by g?
46
Let z be (33/(-4))/(6/(-16)). Let t = 51 - z. What is the remainder when t is divided by 16?
13
Let h = -200 + 310. What is the remainder when h is divided by 57?
53
Suppose 3*d - 4*g - 113 = -2, 4*g - 94 = -2*d. Suppose -4*t = -3*m + 4 - 33, 3*m = 15. What is the remainder when d is divided by t?
8
Suppose 0 = 8*g - 13*g + 60. Let d 