vided by p.
1
Let c = 533 + -518. Let a(r) = r**2 - 3*r + 6. What is the remainder when a(5) is divided by c?
1
Suppose -954*b = -945*b - 17262. What is the remainder when b is divided by 32?
30
Suppose -74*z + 78*z = 372. Suppose 3 - z = -5*i. What is the remainder when 105 is divided by i?
15
Suppose -5*p - 90 = 25. Let m = -6 - p. Calculate the remainder when 116 is divided by m.
14
Let a be (3 - 4)*4 - 24. Let t = -31 - a. Calculate the remainder when ((-268)/12 + -4)*t is divided by 20.
19
Suppose 15 = 5*m, -b - b - 58 = 4*m. Let j = b - -45. Calculate the remainder when 69 is divided by j.
9
Suppose 6*m - m + 10 = 0. Let a be ((-2 - -5) + m)*98. Suppose o - 3*o + a = 0. Calculate the remainder when o is divided by 25.
24
Suppose 0 = -7*n - 7076 + 7720. What is the remainder when n is divided by ((-1)/(-2))/(1/64)?
28
Suppose m = -4*r + 7656, -3*r + 1241 = -2*m - 4512. What is the remainder when r is divided by 19?
15
Let b(y) = 12*y**2 - 15*y - 26. What is the remainder when 97 is divided by b(-2)?
45
Suppose -10*l + 14*l - 97 = -3*h, 3*h = l - 28. What is the remainder when 85 is divided by l?
10
Let v(b) = -9*b + 11. Let o be (-1 - (-5 - -4))/2. Suppose -c - 3*q - 2*q + 1 = o, q - 17 = -c. What is the remainder when v(-8) is divided by c?
20
What is the remainder when 82 is divided by ((-35)/(-21) - 1)*27?
10
Let t(v) be the third derivative of 17*v**5/30 - v**4/24 - v**2. Let n(r) = -236*r + 2262. What is the remainder when n(9) is divided by t(-1)?
33
Let k(u) = -2*u + 24. What is the remainder when 94 is divided by k(-4)?
30
Suppose -3*b + 5*b = 50. Suppose -79*f + 19882 = 8269. Calculate the remainder when f is divided by b.
22
Suppose 0 = -4*s - 6*o + 4*o - 88, -2*s - 4*o - 50 = 0. Let z = s - -39. What is the remainder when 11*3 - -1*1 is divided by z?
16
Let m = 42 + -40. Calculate the remainder when (m + 3)*40/25 is divided by 2.
0
Calculate the remainder when 205 is divided by 6/11 + -7 + 2353/143.
5
Suppose 108 = 23*t - 14*t. Calculate the remainder when 56 is divided by t.
8
Suppose 0 = 3*w - 5 + 38. Let q = w + 8. Calculate the remainder when 30 is divided by (-64)/6*q/2.
14
Suppose -5*b - 91 = -29*h + 27*h, -193 = -4*h - b. Calculate the remainder when h is divided by 5.
3
Let i(k) = -137*k + 5. What is the remainder when i(-1) is divided by ((-12)/7)/(14/(-49))?
4
Let d(h) = h**2 + 17*h + 37. Let s = -3 - 12. What is the remainder when 26 is divided by d(s)?
5
Let p(l) = 2*l**2 + 4*l + 1. Let z be -4 + 0 - 4 - -2. Suppose 5*b = v - 40, 3*v + 5*b - 60 = -0*v. What is the remainder when p(z) is divided by v?
24
Let k(q) = -2 - 16*q + 21*q - 11*q. Let f be k(-1). Let n(d) = d**2 - 2*d - 4. Calculate the remainder when 4 is divided by n(f).
0
Suppose -379*x = -382*x + 48. What is the remainder when 63 is divided by x?
15
Suppose -5*v = -59 - 21. Let r(a) be the first derivative of 47*a**3/3 + a**2 - 2*a + 7. Calculate the remainder when r(1) is divided by v.
15
Let d = 2807 - 2766. Calculate the remainder when 169 is divided by d.
5
Suppose -q + 0 - 8 = 0. Calculate the remainder when 21 is divided by (0 - -2)/((-2)/q).
5
Let q(z) = z - 2. Let w be q(6). Suppose 4 = w*g - 16, 4*o + g = 137. Calculate the remainder when 96 is divided by o.
30
What is the remainder when 45 is divided by (52/(-12) - -3)/(16/(-276))?
22
Calculate the remainder when ((-188)/(-4) - -9) + -1 is divided by 31.
24
Calculate the remainder when 157 is divided by ((-560)/(-84))/((-1)/(-24)*2).
77
Suppose 3*z = -2*b + 91, -3*b = -5*z + z - 145. Suppose -53 + 22 = -j. Calculate the remainder when b is divided by (-1 + j)*8/20.
11
Suppose -11*v - 1204 = -39*v. What is the remainder when 127 is divided by v?
41
Let q(n) = 23*n - 104. Calculate the remainder when 28 is divided by q(5).
6
Suppose -12*p + 16*p - 8 = 0. Let z(n) = 4*n - 5. Let y be z(2). Suppose -7 = -y*w + p. What is the remainder when 3 is divided by w?
0
Suppose 4*v + 4*f - 50 = 2*f, 3*f = -15. What is the remainder when 338 is divided by v?
8
Let f(a) = -36*a - 532. What is the remainder when (40/(-6))/(1/(-3)) is divided by f(-15)?
4
Let d = -443 - -577. What is the remainder when d is divided by 4?
2
Let y(b) = b**3 + 48*b**2 + 2*b + 137. Calculate the remainder when 132 is divided by y(-48).
9
Let w = 56 + -31. Suppose 0 = 6*d - d - w. Suppose v = s + 2*s + 34, -d*v + 100 = -s. Calculate the remainder when 74 is divided by v.
17
Let p be (-1 + 3)*(-2 + 6). Suppose -p*o + 4*o + 352 = 0. Suppose -k - 3*x + 69 = 0, -5*x = k + 11 - o. Calculate the remainder when k is divided by 29.
28
Let a(w) = -w**3 - 11*w**2 - 2*w - 18. Let j be a(-11). Suppose -p + 5*p = -8, -p - 174 = -j*c. What is the remainder when c is divided by 22*((-6)/4 + 2)?
10
Suppose 3 = -o - 5. Let b be 1/o + (-196)/(-32). Suppose 2*a + r + 99 = b*a, 0 = -5*a - 2*r + 140. What is the remainder when a is divided by 9?
8
Suppose -6*t + 48 = 6*t. Suppose 0*r = -5*r + 15. Let m = r + 3. Calculate the remainder when m is divided by t.
2
Suppose 0 = 5*i + 2*s + 50, -5*i + 3*i + 3*s - 39 = 0. Let y = -394 + 404. Let h = y - i. What is the remainder when 42 is divided by h?
20
Suppose -g - 51 = 5*h, g = 5*h + 42 + 17. Calculate the remainder when (-1138)/(-12) - h/66 is divided by 16.
15
Let r = -32 - -37. Suppose r*x = 142 + 43. What is the remainder when x is divided by 8?
5
Let m = -33 - -33. Suppose m*r - 5*n = -3*r + 124, -n = -3*r + 128. What is the remainder when r is divided by 15?
13
Let s = -156 - -254. Let w = 6 + -7. Calculate the remainder when s is divided by w/(-3) + 74/3.
23
Suppose 3*n + 17 - 23 = 0. What is the remainder when 5 is divided by n?
1
Let a = -32 - -35. Suppose -a = -5*r + 7. What is the remainder when r is divided by 1?
0
Let x(t) = 5*t**2 + 2*t - 1. Let h be x(-2). Suppose -h = -v + 18. Suppose -41*s + 27 = -38*s. Calculate the remainder when v is divided by s.
6
Calculate the remainder when 12*(-73)/24*-4 is divided by 32.
18
Calculate the remainder when 113 is divided by 7/14 + 627/22.
26
Suppose -6*z = -4*z. Suppose -2*u + 6 = z, 99 = 2*m + 2*u + 3*u. What is the remainder when m is divided by (-1)/((3 + (-131)/44)*-2)?
20
Calculate the remainder when (2064/(-120))/(4/(-10)) is divided by 23.
20
Let u = 2903 + -2855. What is the remainder when 621 is divided by u?
45
Let m(w) = -4*w - 2*w + 3*w - 6*w - 13. Calculate the remainder when m(-10) is divided by 40.
37
Let m = 206 + -76. Suppose 14 = t - 30. What is the remainder when m is divided by t?
42
Let r(f) = 2*f**3 - 2*f**2 - 12*f + 16. Calculate the remainder when 143 is divided by r(3).
15
Let a = -29 + 38. Let b = 17 - a. Calculate the remainder when 31 is divided by b.
7
Let t(a) = -60*a + 1. Suppose -3*i = -39 - 24. What is the remainder when t(-1) is divided by i?
19
Let h = 73 + -73. Suppose h = 19*j - 22*j + 114. Calculate the remainder when 149 is divided by j.
35
Suppose 0 = 2*z, u - 373 = -3*z + z. Calculate the remainder when u is divided by 47.
44
Let i = -9 - -11. Suppose 2*m - 18 = -i*u, -m = 3*u + m - 23. Suppose p = u*g - 141, -2*g + 2*p - 9 = -59. Calculate the remainder when 114 is divided by g.
27
Let r = 15 + -9. Let v be 2 + (-2)/1 + -4. Calculate the remainder when (11/(-1))/(3 + v) is divided by r.
5
Let g(i) = -8*i - 4. Let l = 88 + -44. Suppose -2*w - 2*w = -l. What is the remainder when g(-3) is divided by w?
9
Let d = 94 + -23. Calculate the remainder when d is divided by 90/(-3)*(-6)/10.
17
Suppose 0 = l + l - 2*u - 14, 4*l + 4*u - 12 = 0. Calculate the remainder when 11 is divided by l/(-2)*1/((-10)/16).
3
Let b(k) = -101*k - 2. Suppose -4*y - 1 - 7 = 0. Let z be b(y). Let l = z + -109. What is the remainder when l is divided by 23?
22
Let n = 36 - -10. Let v = n + 13. Suppose 11*p = 16*p - 150. Calculate the remainder when v is divided by p.
29
Suppose 0 = -5*z + 2*b + 60, 0 = -0*b + 5*b + 25. Suppose 3*d - 84 = 2*h - 4*h, -h - 2*d + 44 = 0. Calculate the remainder when h is divided by z.
6
Let r(j) = -j**2 - 5*j + 7. Calculate the remainder when 197 is divided by r(-5).
1
Let g = 67 + -67. Suppose -3*y - 5*k + 120 = g, -k + 61 = 2*y - 4*k. What is the remainder when 102 is divided by y?
32
Let o = -274 - -385. Calculate the remainder when o is divided by 38.
35
Let q = -11 - -13. Suppose -q*b + 0*b + 10 = 0. Su