remainder when f is divided by 27.
4
Suppose -z - 9 = 4*t - 44, -3*z = -4*t + 55. Suppose w = -4*n - 19 - 48, -35 = 2*n + w. What is the remainder when n*(t/4 + -3) is divided by 2?
0
Let j = 1449 + -1284. Calculate the remainder when j is divided by 20.
5
Let l be -4*(-1)/(6/(-9)). Let d = l + 19. What is the remainder when d is divided by (-11 - -1 - (-10 + 5))*-1?
3
Suppose 43 - 8 = -5*l. Let p(g) = 1 - 12*g + g + 0*g - 15. Calculate the remainder when p(l) is divided by 17.
12
Suppose 2*a + 0*a = 42. Calculate the remainder when 81 is divided by a.
18
Let q = -474 + 495. Calculate the remainder when 35 is divided by q.
14
Suppose 3*d - 102 = -0*d. Suppose -3*o = -2*s - 206, -s - 137 = -3*o + o. What is the remainder when 0 + o + (-4)/2 is divided by d?
32
Let o = 3 + 0. Let c be -3 + -1 + 1 + o. Suppose c = -3*y + 315 - 117. Calculate the remainder when y is divided by 17.
15
Let h(y) be the first derivative of -y**3/3 + 13*y**2/2 + 15*y - 36. What is the remainder when 44 is divided by h(13)?
14
Suppose -6*z + 7*z = 86. Suppose 5*u + 177 = -3*c, 0 = -2*c - u - 32 - z. Let h = c + 86. What is the remainder when 79 is divided by h?
25
Suppose t - 410 = -o - 149, 0 = -4*o - 5*t + 1039. Calculate the remainder when o is divided by 67.
65
Let q(o) = 50*o - 275. What is the remainder when q(11) is divided by 90?
5
Suppose -43 = -i + 4*q, 151 = 18*i - 13*i - 4*q. Let p = -117 + 194. Calculate the remainder when p is divided by i.
23
Suppose 0 = -4*y - 2*i + 46, -y + 7*i - 2*i = -28. Calculate the remainder when 48 is divided by y.
9
Suppose -9223*t - 664 = -9231*t. Let p = 27 - -16. What is the remainder when t is divided by p?
40
Let w be -3*(-3 + 4/2). Suppose 10*v - 13*v + 9 = 0. Suppose c + v*c - 170 = 3*k, k = -w*c + 134. Calculate the remainder when c is divided by 15.
14
Let a(y) = -y**3 - 33*y**2 - 31*y + 49. Calculate the remainder when 27 is divided by a(-32).
10
Let j be 2 + -2 + 3 + 5. Suppose -2*u + j = -0*u. Suppose 5*r = 5*b - 60, 0*b - 3*b - u*r = -71. Calculate the remainder when b is divided by 6.
5
Calculate the remainder when 128 is divided by (22 - 21)/(2/26).
11
Let y be (-510)/22 + 2/11. Let k = -31 - y. What is the remainder when 16 is divided by 37/4 - (-2)/k?
7
Let p be (-12)/7*(-147)/(-14). Let d = 18 + p. Suppose -20 = 4*r, 2*c + 3*r = -d*c + 33. Calculate the remainder when c is divided by 9.
6
Suppose -5*h + 6 = -14. Suppose -3*l - 5*u + 44 = 0, 3*l - 5*l + h*u = -66. Suppose 3*s + 5*g - 67 = -0, -g = -5. What is the remainder when l is divided by s?
9
Suppose 0 = 2*v + v - 21. Let q = -12 + 16. Suppose z - 135 = -q*z. What is the remainder when z is divided by v?
6
Let y = -102 - -52. What is the remainder when 4/y*5 + 2804/10 is divided by 47?
45
Suppose -2*d + 304 = -70*c + 66*c, c - 477 = -3*d. What is the remainder when d is divided by 84?
74
Suppose -4760 = -9*s - 5*s. Calculate the remainder when s is divided by 18.
16
Let w = 329 - 323. What is the remainder when 29 is divided by w?
5
Suppose 149 + 835 = -l. Let x = -419 - -436. Calculate the remainder when 1/(-5) + l/(-20) is divided by x.
15
Let n be (-3)/((48/(-20))/4). Calculate the remainder when 37/(1/(5/n)) is divided by 8.
5
Let l = -43 + 46. Suppose 0 = -3*q - h + 152, 2*h - 48 = -q + l*h. What is the remainder when q is divided by 18?
14
Let k be ((-21)/28)/(1/(-24)). Suppose 3*l - k = 24. Calculate the remainder when 37 is divided by l.
9
Let b = 58 - 39. Suppose 4*l = 3*l. Suppose -3*u + 2*o + 40 = 0, l = 2*u + o + 3*o. Calculate the remainder when b is divided by u.
9
Let f(y) = -46 - y + 20 + 3*y**3 + 5*y**2 + 21 - 4*y**3. Calculate the remainder when 18 is divided by f(4).
4
Let q = 87 + -38. What is the remainder when q is divided by (-10)/4*(-52)/5*1?
23
Calculate the remainder when 139 is divided by 1/(-7) - 66276/(-882).
64
Let t(x) = 7*x**2 - 64*x + 32. What is the remainder when t(10) is divided by 60?
32
Let k(b) = -b**3 + 7*b**2 + 10*b - 2. Let f(c) = -c**3 - 8*c**2 - 8*c + 4. What is the remainder when f(-8) is divided by k(8)?
12
Let g(z) = 14*z - 23. Let v be g(11). Suppose -56 - v = -3*m - 2*t, -4*m - t = -251. Calculate the remainder when m is divided by 16.
15
Calculate the remainder when 6 is divided by -7 - (-9 - (-3 + 3)).
0
What is the remainder when 28 - (-7)/(7/2) is divided by (-3 - -5)/((-2)/(-9))*2?
12
Let y be 8/(-12) + 2/3. Suppose -h + 0*h = y. Suppose 5*d = -3*a + 17, 5*d + 7 = 3*a - h. Calculate the remainder when 9 is divided by a.
1
Suppose 2*h + v = 124, -3*v = -2*h - 10 + 118. Let i be (-10)/40 + (-46)/8. Calculate the remainder when h is divided by (i/(-4))/((-4)/(-56)).
18
Suppose 3 = -3*v + 15. Suppose 3*g + 5*h = 119, -2*h + 3*h = -v*g + 187. Let j = g - 31. What is the remainder when 65 is divided by j?
14
Suppose -7*i + 2*i = -v - 73, 4*v = -3*i + 30. Calculate the remainder when 41 is divided by i.
13
Calculate the remainder when (72/(-40) - -1) + 38478/10 is divided by 104.
103
Let o = -1427 - -1678. What is the remainder when o is divided by 94?
63
Suppose 6*c = 30 + 84. Calculate the remainder when 111 is divided by c.
16
Let r = -682 + 693. What is the remainder when 19 is divided by r?
8
Suppose 14*n - 12*n - 420 = 0. What is the remainder when 123 is divided by n/6 - (-1 + 5)?
30
Let l = -19 + 22. Suppose -5*a - 2*w + 1345 = 0, l*a - 2*a - 269 = 5*w. Suppose -229 = -6*c + a. What is the remainder when c is divided by 21?
20
Suppose -3*q = -3, 0*q = 2*l - 3*q - 173. Calculate the remainder when 261 is divided by l.
85
Let f be 1008/(-15) - 1/(-5). Let c = 85 - 122. Let t = c - f. What is the remainder when t is divided by 11?
8
Let t(b) = -17*b**3 - 2*b**2 - 3*b - 2. What is the remainder when 47 is divided by t(-1)?
15
Calculate the remainder when (-3)/(-15) - 68596/(-220) is divided by 27.
15
Suppose 0 = 5*a + 25, 5*v - 4*a = v + 256. Calculate the remainder when 648 is divided by v.
58
Let x(o) = o**3 + 4*o**2 + 7*o + 3. Let g be x(-2). Calculate the remainder when (-7)/g + 2/3 + 13 is divided by 6.
4
Suppose -3*b + 9 = -0*b. Suppose b*f - 45 = -2*f. What is the remainder when 17 is divided by f?
8
Suppose 3*q = k - 2, -37 = 4*k + 3*q - 0*q. Suppose -26 = -3*i + 10. Let t = i + k. Calculate the remainder when 14 is divided by t.
4
Let t(q) = -q**2 - 4*q**2 + 3*q**2 - 7*q + q. Let x be t(-4). Let u = x + 21. Calculate the remainder when u is divided by 5.
3
Calculate the remainder when 181 is divided by (-1317)/(-63) + 19/(2394/12).
13
Let u = -7 + 13. What is the remainder when (-7)/14 + (-3536)/(-32) is divided by u/(-21) + (-522)/(-14)?
36
Let o(p) = p**3 + 7*p**2 - 3*p - 10. Let j be o(-7). Let x(s) = -s**3 + 12*s**2 - 5*s - 11. What is the remainder when x(j) is divided by 29?
26
Let c(g) be the first derivative of -g**4 + 4*g**3/3 + 5*g**2/2 + 5*g - 49. What is the remainder when c(-2) is divided by 9?
7
Suppose 5*c + 605 = 16*c. Calculate the remainder when c is divided by 14.
13
Suppose -68*r + 59*r + 1953 = 0. Calculate the remainder when r is divided by 55.
52
Let z be 0 - (-105 + 1 + 0 + -3). Let w = z - 60. What is the remainder when w is divided by 17?
13
Suppose 0 = 3*y - 3 - 15. Suppose -p = k - 4*k - 16, -2*k - y = 0. Suppose 2*t = p*t - 15. What is the remainder when 7 is divided by t?
1
Let y be 4/14 + 7800/140. Let x = 85 - y. Calculate the remainder when 113 is divided by x.
26
Suppose 0*z + 493 = 5*o + 4*z, -o + 2*z = -107. Calculate the remainder when o is divided by 53.
48
Let j(v) = -v**3 - 3*v**2 - 2*v - 4. Let i be j(-3). Suppose 0 = -i*a - 2*a + 188. Let m = a + -5. What is the remainder when m is divided by 9?
6
Suppose i + i - 186 = 5*z, 0 = -i - 3*z + 82. Calculate the remainder when 142 is divided by i.
54
Suppose t - 4*c + 17 = 0, -t + 3*t + 14 = 4*c. Suppose t*a - 7*a = -76. Let q = 8 + 2. Calculate the remainder when a is divided by q.
9
Let m(x) = 103*x**2 + 60*x - 112. What is the remainder when m(2) is divided by 44?
24
Let u = -10 + -8. Let w = u + 25. What is the remainder when w is divided by 3?
1
Let s(y) = -9*y - 12. Let h be -2 + 10/15 + 11/(-3). What is the remainder when 97 is divided by s(h)?
31
Suppose -2*i + 77 = 4*x - 197, 5*x - 270 = -2*i. What is the remainder when i is divided by -1 + -2 + 40*(-3)/(-3)?
34
Suppose 3*d + 1020 + 321 = 3*t, -900