is divided by 19.
15
Let s be 2/6 + -1 + (-154)/66. Let x(k) = -33*k + 1. Calculate the remainder when x(s) is divided by 13.
9
Let w = -44 - -45. Suppose 5 + w = r. Suppose 4*h - 5 - 3 = 0. Calculate the remainder when r is divided by h.
0
Suppose 3*d - 5*s = -680, 0 = 3*d + s + 4*s + 730. Let p be d/(-25) - (-6)/10. Let t = p + -4. What is the remainder when 16 is divided by t?
4
Suppose 25*y = 24*y + 164. Let u = y - 114. What is the remainder when 149 is divided by u?
49
Suppose -89 = -5*y - 2*q, -5*y = -3*y - 5*q - 53. Let a = y - 15. Suppose -a*p = p - 50. What is the remainder when 48 is divided by p?
8
Let j(d) = -d**2 - 148. Let m be j(0). Suppose -3*y - 617 = 4*w, -w + 1030 = -5*y - 6*w. Let a = m - y. What is the remainder when a is divided by 15?
14
Let n = 130 - 109. Calculate the remainder when 160 is divided by n.
13
Suppose 5*y - 39 = k, 5*k + 14 = 2*y + 3*k. Suppose 0 = -2*v + 4*v - y. Let a = -23127 - -23153. What is the remainder when a is divided by v?
2
Suppose -7*r + 418 = -2. Calculate the remainder when 133 is divided by r.
13
Let t = 17 - 19. Let a be 1/t + 230/4. Suppose -2*w + a = 15. What is the remainder when w is divided by 6?
3
Suppose -t = 3*t - 108. Let c(p) = p**2 - 6*p - 5. Let d be c(7). Suppose 5*j = -d - 8, 2*x = 5*j + 24. What is the remainder when t is divided by x?
6
Let b = 341 - 252. What is the remainder when b is divided by 16?
9
Suppose -y = c + 17, 2*y - 8*c + 6 = -3*c. Let q(d) = -d**2 + 7*d + 8. Let b be q(6). Let f = b - y. Calculate the remainder when f is divided by 15.
12
Let t(s) be the third derivative of s**5/60 + s**4/2 + 5*s**3/6 - 5*s**2. Let q be t(-12). Let w = 4 + q. What is the remainder when w is divided by 5?
4
Let q = -277 + 352. What is the remainder when 293 is divided by q?
68
Suppose 3*m - 3*g - g - 692 = 0, 3*g + 460 = 2*m. What is the remainder when m is divided by 14?
12
Let i = -11 - -54. Let v = -50 - -73. Calculate the remainder when i is divided by v.
20
Let l be (-4 - -4)/(-1 + 0). Suppose -3*f + 2*f + 8 = l. Calculate the remainder when 55 is divided by f.
7
Let f(h) be the first derivative of 2*h**2 - 3*h - 9. What is the remainder when 15 is divided by f(1)?
0
Let l be (-2)/(-3) - 3899/21. Let g = 89 + l. Let b = -50 - g. What is the remainder when b is divided by 16?
14
Let l be (36/3)/2 - -3. Let t be (l - 2) + 0 + -2. Suppose 0 = -0*w + t*w - 60. Calculate the remainder when 22 is divided by w.
10
Let a(k) = -k**2 - 14*k + 6. Suppose -2*j - 5*r + 41 = 0, 3*j - 93 = 32*r - 29*r. Calculate the remainder when a(-8) is divided by j.
26
Suppose -86 = -2*v + 2*s, -2*s = -2*v - v + 129. What is the remainder when 58 is divided by v?
15
Let k = -186 + 225. What is the remainder when 155 is divided by k?
38
Let b be (128/(-24))/(2/6). Let n(i) = -i**2 - 16*i + 8. Let l = -58 + 81. Calculate the remainder when l is divided by n(b).
7
Suppose -m = 4*m - 10. Let z = 46 + -46. Suppose 10 = -z*n + m*n. What is the remainder when 12 is divided by n?
2
Let r(x) = x**3 - 4*x**2 - 4*x + 34. What is the remainder when r(5) is divided by 23?
16
Calculate the remainder when (-6)/8*(20540/(-39) - -16) is divided by 5.
3
Let y = -94 + 7. Let i = y - -111. Calculate the remainder when 69 is divided by i.
21
Suppose 2*i - 63 = 5*p, p = 8*i - 6*i - 43. Let g(j) = -j**3 + 9*j**2 + 12*j - 1. Calculate the remainder when g(9) is divided by i.
12
Suppose 45 + 95 = 4*k. Suppose 43*t + 1104 = 47*t. Let m = -209 + t. What is the remainder when m is divided by k?
32
Let a = -22 + 27. Suppose -5*h + 4*g = -2*h - 102, -202 = -a*h - 4*g. What is the remainder when 150 is divided by h?
36
What is the remainder when 139 is divided by 3/(9 + 1470/(-164))?
57
Suppose -y - 63 = -12. What is the remainder when 17 is divided by (10/(-6))/(17/y)?
2
Let r(s) = -s**2 + 8*s - 1. Let k = -19 - -17. Calculate the remainder when r(5) is divided by 1/((-2)/(-1))*(20 + k).
5
Let l(v) = -13*v + 94. Calculate the remainder when l(-6) is divided by 8.
4
Let d = -42 - -46. Suppose -2*c = -3*u + 56, -3*u + c = -55 - 6. What is the remainder when 98 - 14 - (1 - d) is divided by u?
21
Suppose 33*x = 12*x + 567. Calculate the remainder when 61 is divided by x.
7
Suppose 0 = -u + 5*u - u. Suppose -w + 5*k + 46 = u, 3*w - 90 = -k - 0*k. Calculate the remainder when w is divided by 17 + 0 + (-1 - -1).
14
Let c(x) = x**2 - 3*x - 4. Let h(j) = -5*j**2 - 7 + 0*j + 7*j**2 + 2*j**2 - j**3 + 5*j. What is the remainder when c(-6) is divided by h(4)?
11
What is the remainder when (-3 - -2)/(-6 + (-275)/(-46)) is divided by 12?
10
Suppose 0*t = 3*r + 4*t - 14, -5*t + 20 = 5*r. Suppose -9 = -v - 3*a + 5*a, r*v - 17 = 5*a. Let z = 322 + -281. What is the remainder when z is divided by v?
8
Let d be (3 + -7)*5/(-4). Suppose 0 = q - d*p - 34, -p - 38 = -3*q + 36. Suppose 7*j - 11*j = -q. Calculate the remainder when 8 is divided by j.
2
Let k be 80/(-3)*(-4 - -7). Let x = k - -104. What is the remainder when x is divided by 5?
4
Let f = 46758 + -46754. Let x be 2/(0 + 1) + -2. Suppose -20 = -4*z, 26 = 4*d + 2*z - x*z. Calculate the remainder when d is divided by f.
0
Let j(o) = -24 + 14*o - 4*o - 7*o - 5*o. What is the remainder when 0 - (-6 - (-2)/(-2)) is divided by j(-14)?
3
Suppose 4*m - 108 = -5*s, -2*m - 10*s + 7*s + 54 = 0. Calculate the remainder when 128 is divided by m.
20
Let g be 3 - (10/15)/((-6)/9). Suppose -g*q + 170 - 38 = 0. What is the remainder when q is divided by 18?
15
Suppose 2250 = 68*m - 18*m. Calculate the remainder when 186 is divided by m.
6
Suppose -15*l + 17*l + 14 = 0. What is the remainder when 41 is divided by 114/7 - 1*(-2)/l?
9
Let c(m) = 13*m**2 + 27*m - 34. Calculate the remainder when c(-6) is divided by 39.
38
What is the remainder when 22 is divided by (-2 - (28 - 0))*(-20)/40?
7
Let p be (-1 - 2/(-8))/(1/(-16)). Suppose p*r - 242 = 10*r. Calculate the remainder when r is divided by 31.
28
Let h(d) = -8*d - 1. Let n be h(3). Let m = n + 53. Calculate the remainder when 110 is divided by m.
26
Suppose -g + 38 = 4*o, 2*g - 2*o = -12 + 38. What is the remainder when g is divided by 17?
1
Let f(x) = x**3 + 17*x**2 - 45*x - 94. Calculate the remainder when 114 is divided by f(-19).
36
Let v(q) = q**3 - 7*q**2 + 26*q - 27. Suppose -5*s + 74 = 4*y, -2*y + 11 + 15 = -3*s. Calculate the remainder when v(6) is divided by y.
13
Suppose 0 = -2*n - 3*r + 400, -4*r + 180 + 813 = 5*n. Let f = -25 + 65. Calculate the remainder when n is divided by f.
37
Suppose 0 = -5*d + 2*h + 120, -28*d = -26*d + 2*h - 34. Calculate the remainder when 47 is divided by d.
3
Let b(a) = 16*a**2 - 18*a + 62. Calculate the remainder when b(6) is divided by 59.
58
Let w be (-4)/4*81 - -2. Let g = 52 + w. Let r = g - -37. What is the remainder when 27 is divided by r?
7
Let w(c) = 5*c**2 + c. Suppose -10*r = -5*r - 45. What is the remainder when (r - (-1 - -1))*1 is divided by w(-1)?
1
Let a = -30 + 91. What is the remainder when a is divided by 2/(-4) + 473/22?
19
Suppose -2*t = -145 - 851. Suppose -1 = 4*d - 17. Suppose -t + 74 = -d*q. What is the remainder when q is divided by 27?
25
Suppose -67*c + 3111 = -2048. Calculate the remainder when c is divided by 14.
7
Let s(w) = 5*w**2 + 10*w + 84. Calculate the remainder when s(-8) is divided by 35.
9
Let m = -118 + 166. What is the remainder when (-113)/(-4) + (-12)/m is divided by 6?
4
Let i = 228 + -135. Calculate the remainder when i is divided by 24.
21
Let a(o) = o**3 + 4*o**2 + 2. Suppose 4*g = 3*z + 760, z + 223 = 2*g - 153. Calculate the remainder when g is divided by a(-3).
8
Let i = -14 + 92. Suppose -5*h - 16*n + 102 = -15*n, -n = -h + 18. Calculate the remainder when i is divided by h.
18
Suppose 4*g - 9*w = -5*w + 128, -3*g + 106 = -5*w. Calculate the remainder when 133 is divided by g.
25
Suppose 0 = -4*j + 5*j. Suppose -5*c - 2*x + 44 = 0, j*c - 39 = -3*c + 3*x. Let y(r) = -r**2 - 13*r - 11. What is the remainder when y(-8) is divided by c?
9
Let a(x) = x**2 - 30*x + 14. Calculate the remainder when 582 is divided by a(31).
42
Let b(a) = -2*a + 2. Let s(d) = d + 9. Let m be s(-9). Suppose m = -5*j + 2*c + 57, -j - 4*c - 1 = -30. Calculate the remainder when j is divided by b(-1).
1
Let z = 108 + -62. Let f(w) = w**2 - 29*w + 13. Let o be f(28). What is the remainde