the remainder when k is divided by 3.
0
Suppose -5*h - 5*s = 31 + 9, 0 = -4*h + 5*s - 41. Let p = h - -24. What is the remainder when p is divided by 6?
3
Suppose -2*n - 4*c = -158, 2*c = 9*n - 11*n + 150. What is the remainder when n is divided by 13?
6
Suppose 3*v = 462 + 759. Suppose 5*i = -20, 3*n + 3*i = -i + v. What is the remainder when n is divided by 36?
33
Let g(w) = w + 3*w + w**3 - 5*w + 4*w**2 - 3. Calculate the remainder when g(-3) is divided by 3.
0
Suppose 4*y - 170 = -2*s, 2*y - 4*s = 10 + 60. Calculate the remainder when 108 is divided by y.
26
Let m(a) = -9*a - 10. Let f = -64 + 132. Let b = 105 - f. Calculate the remainder when m(-9) is divided by b.
34
Suppose 5*s = s - 104. Let d = s + 27. What is the remainder when 7/d + 1 + -3 is divided by 2?
1
Let w(k) = k**2 - 13*k + 9. Let u be w(9). Let o = u + 69. Suppose 2 = -4*a + h + 64, -5*h = -a + 25. Calculate the remainder when o is divided by a.
12
Suppose 5*f - 15 = -g - 4*g, -2*g = -f + 12. Calculate the remainder when 48/9 - 6 - (-250)/f is divided by 11.
8
Let m(y) = -15*y - 28. Let t(q) = 7*q + 14. Let p(u) = 6*m(u) + 13*t(u). Calculate the remainder when p(23) is divided by 11.
4
Suppose 137 = 16*r + 58 - 129. Calculate the remainder when (-22)/4*(-5 - 1) is divided by r.
7
Suppose 7*c - 5*c - 10 = 0. Suppose -4*l + l = -4*b + 98, -c*b - 4*l = -107. Calculate the remainder when 44 is divided by b.
21
Let p be (15/(-4))/(9/6)*-2. Suppose 2*x = 3 + p, 32 = f - x. Calculate the remainder when 177 is divided by f.
33
Let p = 22 - 14. Calculate the remainder when 18*1 + 8 + -11 is divided by p.
7
Suppose 4*x = 151 - 7. Let g(s) = 2*s**2 - 21*s + 98. Calculate the remainder when g(9) is divided by x.
35
Suppose 0 = a + 4*a - 95. Suppose 3*o - 172 + 145 = 0. Calculate the remainder when a is divided by o.
1
Let k(t) = -6*t**2 + 28*t + 20. Let z = -33 - -51. Calculate the remainder when z is divided by k(5).
8
Suppose -218 - 78 = -8*k. Let x = -23 + k. What is the remainder when 24 is divided by x?
10
Let c = -11 - -87. Suppose 0 = 2*h - z - c, -3*h = -5*z + z - 109. What is the remainder when h is divided by 20?
19
Suppose 0 = 5*n - y - 1068, 634 = 29*n - 26*n - 4*y. Calculate the remainder when n is divided by 24.
22
Let r(x) = -x**3 - 8*x**2 - 10*x + 14. Let m be r(-6). Suppose 25 = -5*f, 0*f + m*f = -s - 8. What is the remainder when s is divided by 1?
0
Let s be 752/(-8) + -1 + 0. What is the remainder when ((-4)/5)/(2/s) is divided by (-1351)/(-105) + 2/15?
12
Let x(k) = 2*k**2 + 11*k - 3. Let i(z) = z**3 + 11*z**2 + 2*z + 11. Let p be i(-11). Calculate the remainder when x(p) is divided by 30.
28
Suppose 0 = 48*p - 496 - 13616. What is the remainder when p is divided by 4?
2
Suppose 3*i + 8*t - 16 = 4*t, -5*i + 45 = 3*t. What is the remainder when 165 is divided by i?
9
What is the remainder when 296 is divided by 2*(7/1 - -31)?
68
Let k = 3 + -1. Suppose -k*t = -0*t + 3*v - 17, -2*v = 5*t - 59. Let l = 29 - 5. What is the remainder when l is divided by t?
11
Let r(n) = -n + 8. Let v be r(4). Suppose -v - 14 = c. Calculate the remainder when 25 is divided by 4/(-6)*c - -2.
11
Let u = -277 + 309. What is the remainder when 69 is divided by u?
5
Let o be (19*(-7 - -6))/((-2)/4). Let j = 54 - o. What is the remainder when 28 is divided by j?
12
Suppose 0 = -8*c + 2*c + 60. Let u(d) = d**2 + 6*d + 10. What is the remainder when u(-8) is divided by c?
6
Suppose 4*o - 69 = -5*q, 2*o - 39*q - 2 = -35*q. Calculate the remainder when 217 is divided by o.
8
Suppose -l = -2*y - 17, -11*l - 61 = -15*l + y. Suppose 4*i - i - 177 = 0. Calculate the remainder when i is divided by l.
14
What is the remainder when (0 - -1)/(-7 + (-2328)/(-332)) is divided by 36?
11
Let r = -18 + 20. Suppose -5*w + 37 = r. Let l = 9 + 9. Calculate the remainder when l is divided by w.
4
Suppose 5*k + 23*y = 26*y + 226, 3*k - 4*y - 140 = 0. What is the remainder when 115 is divided by k?
27
Let b be ((-21)/(-14))/((-6)/(-4)). Let o(v) = 15*v**2 - 2*v + 2. What is the remainder when 73 is divided by o(b)?
13
Suppose -5*w + 5*x + 2 = -18, 0 = -2*w - 5*x + 29. Suppose -5*l + 0*l + 150 = 0. What is the remainder when l is divided by w?
2
Calculate the remainder when 201 is divided by (120 + -121)/((-2)/394).
4
Suppose -2*l - 2 = -2*t - 0*t, 3*l - 5*t + 7 = 0. Suppose -4*u + 295 = -l. Calculate the remainder when u is divided by 15.
14
Suppose 8*v - 315 = v. Let w be 9/(-36) - 98/(-8). Suppose -h + 12 = k, -k = 2*k + w. Calculate the remainder when v is divided by h.
13
Suppose -3480 = -10*u - 0*u. Calculate the remainder when u is divided by 88.
84
Suppose -8 = -2*a + 12. Let h(o) = 9*o + 3. Calculate the remainder when h(a) is divided by 12.
9
Calculate the remainder when (-14300)/(-88) - (-3)/2 is divided by 7.
3
Let v(i) = 7*i + 4*i**3 - 4*i**2 + 6 - 9*i + 3*i. Calculate the remainder when v(3) is divided by 12.
9
Let t(w) = -w. Let o be t(-5). Suppose -2*g + 9 = 5*b, -4*b - 4 = -o*g + 2. Suppose 0*u = -g*u + 98. What is the remainder when u is divided by 13?
10
Suppose 8*b - 14*b = -48. What is the remainder when 17 is divided by b?
1
Let b = -2 + 144. Calculate the remainder when b is divided by 36.
34
Calculate the remainder when 23 is divided by (-175)/(-25) + 4/2 + 3.
11
Let v(w) = w + 20. Let y(k) = -19. Let l(m) = 4*v(m) + 5*y(m). Calculate the remainder when l(15) is divided by 12.
9
Suppose 0 = -0*b + 3*b. Suppose h + 2*h - 4*d = 31, b = -5*d + 25. Calculate the remainder when 33 is divided by h.
16
Suppose 39*q - 1158 = 1845. Let b = 32 + -22. Calculate the remainder when q is divided by b.
7
Suppose 6*a = -a + 301. Suppose -d + 4*d = -3. What is the remainder when a is divided by 1/(2 + d) + 14?
13
Let r = 119 + -59. Let m be (-3)/(-5) + 1824/r. Let o = -8 + m. Calculate the remainder when o is divided by 8.
7
Let h = 409 - 393. Calculate the remainder when h is divided by ((-12)/(-10))/((-4)/(-30)).
7
Suppose 44*g = 5*g + 3588. Calculate the remainder when g is divided by 34.
24
Let g be (-4 + 2 - -41) + 1. Suppose -w - 3*n + 8 = 0, -5*w + 2*n + 54 = 14. Suppose 13*j - g = w*j. Calculate the remainder when j is divided by 2.
0
Suppose 3*c = 2*o + 14, o = -2*c + 4*c - 11. Suppose -y - 57 = -77. Suppose -23*v + 19*v = -y. What is the remainder when c is divided by v?
3
Let w(s) = 2*s - 1 - 5*s + s - s. What is the remainder when (-608)/(-28) - (-4)/14 is divided by w(-3)?
6
Let h(u) = u**3 + 21*u**2 + 45*u + 20. Calculate the remainder when h(-18) is divided by 23.
21
Suppose -25 = -3*b + d, 4 = 2*b + 2*d - 2. Suppose -b*w + 10*w = 36. Calculate the remainder when 47 is divided by w.
11
Let d(z) = -2*z + 8. Suppose 4*q - 2 = -0*c + 2*c, -5*q - 2*c - 20 = 0. Let o be d(q). Suppose 15*i = o*i + 42. Calculate the remainder when i is divided by 6.
2
Suppose -3*d + 231 = -j, 6 + 3 = 3*j. What is the remainder when 232 is divided by d?
76
Suppose -3*t - 6 = -2*c, 3*c + 2*t = -c + 28. Let l be (-20)/15*c/(-4). Suppose p - l*p = -4. Calculate the remainder when 13 is divided by p.
1
Suppose 0 = s + 54 - 142. Suppose 0 = b - 52 + 6. Calculate the remainder when s is divided by b.
42
Suppose -25*t + 6*t + 190 = 0. What is the remainder when 27 is divided by t?
7
Suppose -66*m + 6545 - 979 = 55*m. Suppose 0 = 3*r, 3*r = -t - 4*t + 50. What is the remainder when m is divided by t?
6
Let b = 281 + -105. Calculate the remainder when b is divided by 91.
85
Let c = -932 - -1205. Calculate the remainder when c is divided by 58.
41
Let k be 3/2*(-30)/9. Let a = k + 27. Let y = 76 - a. What is the remainder when y is divided by 28?
26
Let g(q) = -2*q**2 - 16*q + 9. Let y be g(-8). Suppose 90 = y*n - 18. Calculate the remainder when n is divided by 4.
0
What is the remainder when 95 is divided by 32 + 105/75 + 15/25?
27
Suppose 2*p = s + 139, p + 3*s = -4*p + 320. Let i = 88 - p. What is the remainder when 39 is divided by i?
18
Let w = -305 - -398. Calculate the remainder when w is divided by 12.
9
Let n be (1/(-3))/((-1)/21). Suppose 0 = r + n + 3. Let c = 29 + r. What is the remainder when 54 is divided by c?
16
Suppose 21 + 27 = 2*z. Suppose -3*b = -z*b + 1113. Calculate the remainder when b is divided by 5.
3
Calculate the remainder when 52 - (8 + 5/(-5)) is divided by 8.
5
Suppose -48 = -0*l - 4*l + 5*n