. Calculate the remainder when t(-6) is divided by 15.
11
Suppose -y = -34 + 24. Suppose -2*f - z = -74, -z = -3*z - 4. What is the remainder when f is divided by y?
8
Suppose -29*q + 989 = 14*q. Calculate the remainder when q is divided by 9.
5
What is the remainder when 258 - (-20)/15*3 is divided by 8?
6
What is the remainder when 78 is divided by (-72)/(32/4) - -49?
38
Let w(r) = -36 + 27*r**2 + 21 + 5*r**2 + 16. What is the remainder when w(-1) is divided by 7?
5
Let f(a) = 2*a**2 - 4*a + 8. Suppose -k = g - 7, 0*g + 2*k - 2 = 2*g. Calculate the remainder when f(g) is divided by 5.
4
Let c(z) be the third derivative of z**5/60 - z**4/6 + 2*z**3/3 + 3*z**2. Let i(w) = 2*w**2 - 7*w + 2. Calculate the remainder when i(5) is divided by c(5).
8
What is the remainder when ((-101)/4)/(((-63)/(-12))/(-21)) is divided by 26?
23
Let r(u) = -4*u + 4. Let q(j) = 3*j - 2. Let x(p) = 7*q(p) + 5*r(p). What is the remainder when x(5) is divided by 2?
1
Let t = 3 + 7. Suppose 0 = -3*i + 9 + 3. Suppose n - 17 = -i*z, -2*z + 50 + 18 = 4*n. Calculate the remainder when n is divided by t.
7
Calculate the remainder when 29 is divided by (-8)/(-56) - (-222)/14.
13
Suppose g + 1 = 4*n, -2*n - 2 = -3*g + 5. Let l(d) = -d**2 - 14*d + 2. Let f = -32 + 18. What is the remainder when l(f) is divided by n?
0
Suppose -8*b + 3 = r - 9*b, -4*r = -5*b - 13. Calculate the remainder when 44 is divided by r.
0
Let a = 7 - -10. Let w(v) = v**3 - 4*v**2 + v - 3. Let m be w(4). Calculate the remainder when a is divided by (-82)/(-12)*m - 14/(-84).
3
Let w = -6 - -10. Suppose 2*c + c - 64 = w*p, 0 = c + 2*p - 28. What is the remainder when c is divided by 12?
0
Let k(p) be the third derivative of -7*p**4/12 + 5*p**3/6 - 5*p**2. Calculate the remainder when k(-6) is divided by 15.
14
Let l(s) = -s**2 - 34*s + 45. Calculate the remainder when l(-33) is divided by 43.
35
Suppose 4*r = -5*k + 137, -2*k + 22 = -3*r - 42. Let f = 31 - k. Suppose -2*t + y = t - 52, f*y = -3*t + 49. Calculate the remainder when 49 is divided by t.
15
Let g be 1*(5 - 0/(-3)). Suppose -5*w = a - 6*w - 95, -w - 479 = -g*a. Calculate the remainder when a is divided by 33.
30
Suppose -46*y = -299 - 621. Calculate the remainder when 58 is divided by y.
18
Suppose -2*q + 6*q = 508. Suppose 9*h = 37 + 107. What is the remainder when q is divided by h?
15
Let q(n) = -90*n**2 + 8*n + 38. Let k(d) = -30*d**2 + 3*d + 13. Let b(p) = 17*k(p) - 6*q(p). Calculate the remainder when b(2) is divided by 20.
19
Let m = -812 - -890. What is the remainder when 227 is divided by m?
71
Let c(d) = d**2 + 17*d - 67. Suppose -i + 49 = 4*m, -2*m + 17 = -2*i - 5. What is the remainder when c(-21) is divided by m?
5
Suppose 4*v + 0*p = -p + 56, 4*p = v + 3. Let t(h) = h**2 - 13*h + 3. Let w be t(v). What is the remainder when 55/1 - w - 1 is divided by 18?
15
Let q(j) = j**3 + 8*j**2 - j + 10. Suppose 3*c - 11 = v, -3*v + 1 = -2. Suppose -14 = -c*d + 54. What is the remainder when q(-7) is divided by d?
15
Let t = -32 + 44. What is the remainder when 22 is divided by t*(-8)/36*-3?
6
Suppose p - 3*x = 6*p - 37, -2*p - x + 14 = 0. Suppose w - 6*w - 18 = -k, -20 = p*w. Calculate the remainder when (0 - 34)*k + -2 is divided by 23.
20
Let a(m) = m**3 - 15*m**2 + 46*m + 66. What is the remainder when 311 is divided by a(11)?
47
Let z(t) = -21*t + 24. What is the remainder when 41 is divided by z(0)?
17
Let x(j) = 0 - 1 - 88*j + 4 + 90*j. Calculate the remainder when x(15) is divided by 13.
7
What is the remainder when 137 is divided by 836/36 - 26/117?
22
Suppose 5*v - 3*o + 7*o + 66 = 0, 2 = v - 3*o. What is the remainder when 12 is divided by 1/(-1) - 30/v?
0
Let c be ((-12)/30)/(1/(-10)). What is the remainder when (-1 + (-18)/c)*-34 is divided by 48?
43
Suppose 2*t = -2, -31*y + 5*t = -34*y + 61. Calculate the remainder when y is divided by 36/15*(-20)/(-6).
6
Let u = -15 + 28. Suppose 3*s - 67 = -u. Suppose 0 = 4*z - 206 + s. What is the remainder when z is divided by 24?
23
Suppose 3913*t + 93 = 5*u + 3915*t, 5*u - 65 = 5*t. Suppose 0*q + 6 = 2*q. Calculate the remainder when u is divided by q.
2
Let h = -20 + 62. Suppose -a + 6*a - 2*n = -1236, 2*n + 240 = -a. What is the remainder when h is divided by 24/(-132) - a/22?
9
Suppose -40 + 325 = 3*n. Suppose -2*s - 7*p = -4*p - 28, 2*s - p = 36. Calculate the remainder when n is divided by s.
10
Let m = -3 - -19. Calculate the remainder when m/6*(6 - -9) is divided by 21.
19
Suppose -2*m + 3 = 1, 0 = 2*g - 5*m - 177. What is the remainder when g is divided by 6/(-4)*4*-4?
19
Let y be 10/(-3) - (-56)/42. Let n = 2 + y. Suppose 3*h - 11 - 4 = n, 0 = -4*w + 4*h + 44. Calculate the remainder when 46 is divided by w.
14
Let t = 1243 - 1187. Calculate the remainder when t is divided by 19.
18
Suppose 0 = -4*o - 8*o + 180. Calculate the remainder when 85 is divided by o.
10
Calculate the remainder when 183 is divided by (-2 + -5)*(-1)/((-14)/(-46)).
22
Suppose 0 = -2*t - n - 9, -2*t - 5*n = -6*t + 17. Calculate the remainder when 38 + (15/(-5) - t) is divided by 19.
18
Let n(b) = 2*b**2 + 8*b + 28. What is the remainder when n(-7) is divided by 15?
10
Let z = 2009 + -231. Calculate the remainder when z is divided by 13.
10
Suppose -145 = -15*q - 25. What is the remainder when 36 is divided by q?
4
Let g = 22 + 16. Let k(w) = w**3 + 11*w**2 + 7*w - 22. Calculate the remainder when g is divided by k(-10).
6
Let a = -394 - -424. Calculate the remainder when 777 is divided by a.
27
Let q = -174 - -197. What is the remainder when 275 is divided by q?
22
Let q = 500 + -458. Calculate the remainder when q is divided by 30.
12
Suppose 4*w = 2*b + 14, -5*b = -4*w + 1 + 4. Suppose -w*n + 105 = 5*s, 0*n = 3*s + 5*n - 65. Let q = s - 5. What is the remainder when 28 is divided by q?
13
Let j be 1/((-3)/63*-3). Let x(a) = 2*a**2 + a**2 - a**2 - j + a**2 + a. What is the remainder when x(-5) is divided by 16?
15
Suppose -6362 - 9676 = -33*m. What is the remainder when m is divided by 34?
10
Let l be ((-6)/2)/(-5 + 39/6). Calculate the remainder when 58 is divided by (4 - 97)*l/6.
27
Let h be -15*-1*(-90)/25. Let f = h - -76. What is the remainder when f is divided by 8?
6
Suppose -o = 2*t - 3, -4*o = -2*t - 9*o + 15. Let i(u) = 3*u + 3. What is the remainder when 25 is divided by i(t)?
1
Let k be 4/(-6) - 800/(-48). Let j = 35 - k. Suppose 3*n + 2*n - 175 = 0. Calculate the remainder when n is divided by j.
16
Suppose 3*g - 7*g + 172 = 0. Let h(c) = 5*c + 152. Calculate the remainder when g is divided by h(-26).
21
Suppose -4*r - 11 = -99. Let x(b) = 21*b - 2. What is the remainder when x(4) is divided by r?
16
Suppose 0 = -8*k + 2*k - 264. Let f = k - -74. What is the remainder when 87 is divided by f?
27
Let s = -38 + 41. Calculate the remainder when s/(4/11 + (-1)/3) is divided by 10.
9
Let n(f) = -f**3 + 8*f**2 - 5*f + 2. Suppose 5 = 5*y - 4*y. Suppose 0 = 4*r - s - 34, 5*r + y*s + 1 - 56 = 0. Calculate the remainder when n(6) is divided by r.
8
Suppose 0 = -f - 20 + 139. Suppose -3*q - f = -2*g, -5*g + 2*q + 233 = -59. Calculate the remainder when g is divided by 15.
13
Suppose 0 = 2*a - p - 310, -18*a - 3*p = -15*a - 474. Calculate the remainder when a is divided by 82.
74
Suppose 0*a - 28 = 3*g - a, -3*g + 4*a - 40 = 0. Suppose 5*k + 24 + 13 = -b, -b - 4*k - 34 = 0. Let y = g - b. Calculate the remainder when 39 is divided by y.
11
Suppose -k = -4*a - 29, 2*a = 2*k + 6*a - 58. Let t = 90 - k. Suppose -3*d = -t + 4. What is the remainder when d is divided by 11?
8
Let x = -2 - -29. Calculate the remainder when x is divided by 4.
3
Suppose 7*r + 30 = 10*r. Suppose -5*s + r = -35. What is the remainder when s is divided by 6?
3
Let i(w) = 12*w**2 + w. Let b(a) = 7*a - 8*a**2 + a + 2 - a**3 + 2*a**3 - 3*a. Calculate the remainder when b(8) is divided by i(-1).
9
Let n(o) = 134*o + 38. What is the remainder when n(2) is divided by 10?
6
Let c(j) = -3*j**2 - 56*j + 6. What is the remainder when c(-15) is divided by 40?
11
Suppose 5*z - 1800 = -2*k, 4*z - k - 1433 = -4*k. Calculate the remainder when z is divided by 91.
89
Let o = 774 + -738. What is the remainder when 138 is divided by o?
30
Suppose -6*u + 5*u = -97. Suppose 5*s - 48 = u. Calculate the remainder when 85 is divided by s.
27
Calculate