4 is divided by n.
5
Suppose 0 = 5*t + 5*g - 10, -4*t + 5*t - 2*g = -10. Let x be t/(-8) - 2035/(-20). Suppose -3*b + 45 + x = 0. Calculate the remainder when b is divided by 17.
15
Let d = 34 + -20. Let k = 9 + -4. Calculate the remainder when d is divided by k.
4
Let a(s) be the second derivative of -s**5/20 + 19*s**4/12 - 6*s**3 - 11*s**2 + 17*s. Calculate the remainder when a(16) is divided by 43.
41
Suppose 4*p = 142 - 46. Suppose 2*x - 8*r + 18 = -6*r, 3*x = 5*r - 29. Let w = 1 - x. What is the remainder when p is divided by w?
6
Suppose -14*k = -1713 - 933. Calculate the remainder when k is divided by 16.
13
Let s = -4 - -10. Suppose s*m - 7*m = -163. Calculate the remainder when m is divided by 33.
31
Let j = -99 + 112. What is the remainder when 63 is divided by j?
11
Suppose -2*z + 76 = -0*z + 3*h, 0 = -2*z - 5*h + 72. What is the remainder when z is divided by 17?
7
Suppose -5*u = 2*t + 331, -5*u + 0*u + 4*t - 343 = 0. Let o = -50 - u. What is the remainder when 64 is divided by o?
13
Suppose 5*i = -10, -k - i = 3*i + 10. Let o(f) = -16*f + 3. Calculate the remainder when 137 is divided by o(k).
32
Let b = -569 + 585. Calculate the remainder when 829 is divided by b.
13
Suppose -4*u - 627 = -7*u. Let f = -83 + u. Calculate the remainder when f is divided by 16.
14
What is the remainder when 12/3 + (-9792)/(-18) is divided by 19?
16
Suppose -68 = -4*p - 0*p. What is the remainder when p is divided by (-10)/3*(3 - 45/10)?
2
Let w(a) = a**3 - 2*a**2 - 5*a + 4. Let l be w(4). Let n = -14 + l. Suppose n*g - 6*g + 5 = -3*d, 4*d = -4*g + 40. What is the remainder when g is divided by 2?
1
Suppose -4*x + 10 = -2, 0 = 3*m + 2*x - 15. What is the remainder when 29 is divided by m?
2
Let a(s) = s**2 - 46*s + 165. Calculate the remainder when a(46) is divided by 22.
11
Suppose 0 = 2*x - 4*p - 54, 98*p - 81 = -2*x + 93*p. Calculate the remainder when 80 is divided by x.
14
Suppose 1602 = 58*m - 22. Calculate the remainder when 53 is divided by m.
25
Let d = 20 + -8. Let a = 2573 - 2515. Calculate the remainder when a is divided by d.
10
Suppose 0 = -8*k + 161 + 151. Calculate the remainder when k is divided by 6.
3
Let k(o) = o**2 - o + 2. Let t(f) = 7*f - 23. Calculate the remainder when t(11) is divided by k(-3).
12
Let m = -65 - -39. Let d = -22 - m. Suppose n = p - 23, 3*p - d*n - 110 = -2*p. Calculate the remainder when p is divided by 6.
0
Suppose 3*z - 3*z = -z. Suppose z = 2*k + 4*s - 8, s = -3*k + 36 - 4. Let j = 62 - 27. What is the remainder when j is divided by k?
11
Suppose 6*a = -2*a + 56. Calculate the remainder when 146 is divided by a.
6
What is the remainder when 2/12*2 - 4620/(-45) is divided by 12?
7
Suppose -29*t - 488 = -37*t. Suppose 15 = 4*l + i - 45, 0 = 4*l - 4*i - 80. Calculate the remainder when t is divided by l.
13
Let u = 45 - 12. Suppose 8 = 6*j + 2. What is the remainder when u is divided by (-144)/32*(-2)/j?
6
Let o = 2447 + -2369. Calculate the remainder when 381 is divided by o.
69
Let o = -33 + 44. Suppose 0 = -2*n + 2*h + 60, -h = 2*h. Calculate the remainder when n is divided by o.
8
Let n = -9 + 11. Suppose -q + 4*r + 51 = n*q, 0 = 3*q + r - 36. What is the remainder when 63 is divided by q?
11
Let h(y) = -13*y + 115. What is the remainder when h(7) is divided by 5?
4
What is the remainder when 356 is divided by 68*10/20 - (-4)/(-1)?
26
Suppose 321 = 3*i - 5*q, -9*q - 214 = -2*i - 8*q. Calculate the remainder when i is divided by 12.
11
Let t = -598 - -646. Calculate the remainder when t is divided by 7.
6
Suppose -3*j + 3 = 12, -4*l + 244 = 4*j. Suppose -4*a + 5*a + 5*d = 52, -a + l = -d. What is the remainder when a is divided by 33?
29
Calculate the remainder when 185 is divided by 4 - (-3 - -4 - (-2 - -27)).
17
Let r(x) = -2*x - 12. Calculate the remainder when (4/3)/((-6)/(-207)) is divided by r(-14).
14
Suppose 132*p = 128*p + 3*i + 25, -5*p + 65 = 3*i. What is the remainder when 76 is divided by p?
6
Let a = -54 - -61. Suppose 14 = a*b - 14. What is the remainder when 17 is divided by b?
1
Calculate the remainder when 82 is divided by 69/2*8/12 + 1.
10
Suppose 0 = o - 135 - 41. Calculate the remainder when o is divided by 34.
6
Suppose -20*h - 19*h + 195 = 0. What is the remainder when 173 is divided by h?
3
Calculate the remainder when 188 is divided by (7897/(-298))/(1/(-2)).
29
Let n(p) = 11*p - 457. What is the remainder when 1/2 - (-957)/6 is divided by n(44)?
25
Let s = 190 + -131. Let d = s - 38. Calculate the remainder when d is divided by 6.
3
Calculate the remainder when 18 is divided by (594/(-33))/(2 - 3).
0
Suppose 34 = 5*w - 111. Calculate the remainder when 158 is divided by w.
13
Let r(s) = -s**2 + 17*s + 2. Calculate the remainder when r(8) is divided by 1/2 + (-2923)/(-158).
17
Let u(y) = -y**2 - 8*y + 1. Let g be u(0). Calculate the remainder when (197 - g)/(1 - -1) is divided by 34.
30
What is the remainder when 68 is divided by 21 - 6*(-63)/(-54)?
12
Suppose 396 = -2*u + 6*u. Suppose 0 = -2*b + j + 40 - 8, 0 = 4*b + 2*j - 72. What is the remainder when u is divided by b?
14
Let y be 9 + (2 + 0)*-2. Suppose -a - 121 = -3*n, 3*a = y*n - a - 211. What is the remainder when n is divided by 21?
18
Let u = 1683 + -1662. What is the remainder when 170 is divided by u?
2
Let b(x) = -x**2 - 7*x + 4. Let f be b(-7). Let o = -36 - -80. Suppose -m + f*m + 12 = 2*k, -4*k - 4*m = -o. What is the remainder when 25 is divided by k?
7
Let t(l) = -l**3 - 2*l**2 - l - 113. Let g be t(0). Let a = 163 + g. What is the remainder when a is divided by 13?
11
Suppose 0 = 10*x - 16*x + 330. What is the remainder when x is divided by 14?
13
Suppose -5*b = 4*r - 152, 3*r - 122 = -4*b - 0*b. Let k be (b/(-4))/(2/(-1)). Suppose p = -p + k. What is the remainder when 4 is divided by p?
0
Suppose 110 = 17*t - 7*t. What is the remainder when 20 is divided by t?
9
Let q(t) be the second derivative of t**3 + t**2/2 - 24*t. What is the remainder when q(5) is divided by 7?
3
Let m(s) = -35*s - 3. Calculate the remainder when m(-2) is divided by 11.
1
Suppose 221*o - 186 = 219*o. Suppose -4*h = h + 5*t - 55, 0 = 3*t + 3. Calculate the remainder when o is divided by h.
9
Suppose -12*z = 5*y - 7*z - 275, 4*z = -2*y + 104. Calculate the remainder when y is divided by 6.
4
Let l(q) = 7*q - 7. Calculate the remainder when l(9) is divided by ((-18)/(-4))/(60/(-80)) - -16.
6
Let n(s) = -s**3 + 6*s**2 + 21*s - 97. What is the remainder when 1505 is divided by n(6)?
26
Suppose 0*a = 2*a - 6. Suppose 0 = a*p - 0*p - 57. Let f(z) = z**3 - 6*z**2 + 4*z + 12. What is the remainder when p is divided by f(5)?
5
Let h(z) = 20*z**3 - 5*z**2 + 3*z - 4. Let u(q) = q**2 - 9*q + 16. Let i be u(7). Calculate the remainder when h(i) is divided by 16.
14
Let t = 3 - -60. What is the remainder when (-24)/42 - 578/(-7) is divided by (t/15)/((-3)/(-15))?
19
Let g(z) = z**3 + 7*z**2 + 5*z - 10. Calculate the remainder when 51 is divided by g(-4).
15
Suppose -23 = 5*k - 158. Calculate the remainder when 79 is divided by k.
25
Let q be 10 + 1*24/(-6). Suppose -q*x - 8 = -56. What is the remainder when x is divided by 3?
2
Suppose 5*u + 53 = -127. Let f = -14 - u. Let m = -2 + f. What is the remainder when 59 is divided by m?
19
Let u(n) = n**2 + 6*n + 5. Calculate the remainder when ((-615)/(-45))/(1/6) is divided by u(-8).
19
Let o(f) = -2*f**3 + 11*f**2 + 8*f - 3. Suppose -3 - 25 = -5*g + q, -10 = -3*g + 4*q. Calculate the remainder when (2/(-3))/((-2)/51) is divided by o(g).
8
Suppose -5*b + 1380 + 655 = 0. Calculate the remainder when b is divided by 12.
11
Let k = -133 + 145. Calculate the remainder when 23 is divided by k.
11
Suppose -4*u + 12 = -60. Suppose 0 = 13*c - 9*c - 28. What is the remainder when u is divided by c?
4
Let b = 570 + 132. Let o be (-16)/(-6)*(-3)/(-2). Suppose -2*c + b = o*c. Calculate the remainder when c is divided by 30.
27
Suppose -5*x - 43*n + 48*n = -60, n = 5*x - 72. Suppose 0 = -h, -4*a + 0*h + 164 = 4*h. What is the remainder when a is divided by x?
11
Let s be 12/8*110/3. Suppose 2*w = -2*q - 0*w + 34, -5*w - s = -5*q. Suppose 0 = -4*u + 30 + q. What is the remainder when u is divided by 6?
5
Let p be 12/(((-9)/(-8))/3). Suppose 0*f + 40 = 2*u - 4*f, -p = -u - 4*f. What is the remainder when u is divid