 - 1/8*a**4 + 0*a**3 + 1/120*a**6 + 0 + 1/20*a**5 + 0*a. Calculate the remainder when t(-3) is divided by 5.
4
Let k = 19 + -78. Let b = k + 71. Calculate the remainder when 35 is divided by b.
11
Suppose 18*x - 3520 = 2*x. What is the remainder when x is divided by 214?
6
Let j = 2 + 1. Let p(v) = 27*v - 8. What is the remainder when p(j) is divided by 38?
35
Suppose 0 = 3*b - z - 60 - 71, -16 = -4*z. Let i(s) = s**2 - 2*s - 8. What is the remainder when b is divided by i(6)?
13
Suppose 86*v - 87341 = -5039. What is the remainder when v is divided by 12?
9
Let x(i) = i**3 + 22*i**2 - 22*i + 30. What is the remainder when 169 is divided by x(-23)?
1
Let i = 318 - 225. Let u(j) = 4*j**2 + 81*j + 39. Calculate the remainder when i is divided by u(-20).
17
Suppose -74 - 49 = -3*o. What is the remainder when ((-34)/(-68))/((-3)/(-966)) is divided by o?
38
Let f = -1787 - -1823. What is the remainder when 123 is divided by f?
15
Suppose 0 = -5*d - 5 + 20. Let n = -10 + 10. Suppose -2*z + 40 = 4*o, 4*o - 7*z + 2*z - 40 = n. Calculate the remainder when o is divided by d.
1
Let b = 28 + -18. Suppose -x = 5*g - b*g + 144, 4 = -x. Calculate the remainder when 137 is divided by g.
25
Let v(h) = 6*h + 2. Let u be v(7). Let s = 3 + u. Suppose 0 = -g + f + 13, 3*g - 4*f = 2*g + 16. What is the remainder when s is divided by g?
11
Let d = 222 - 209. What is the remainder when 77 is divided by d?
12
Let q = -692 - -706. Calculate the remainder when 80 is divided by q.
10
Let j(l) = l**3 - 4*l**2 + 3*l + 2. Let k(y) = y**3 - 12*y**2 + 7*y + 3. Let o be k(11). Let q = o + 45. Calculate the remainder when q is divided by j(3).
0
Suppose -b + 0 + 5 = 0. Suppose -124*q - 18313 = 172*q - 44361. What is the remainder when q is divided by b?
3
Suppose s - 8 = -7. Suppose -3*r + s = -11. What is the remainder when 3 + (48 - r) - 4 is divided by 11?
10
Suppose -b = -3*b + 24. Let n = -6 - -8. Suppose n*y - 16 = 50. What is the remainder when y is divided by b?
9
Suppose -l + 4*q = -57, 31 = -3*l + 3*q + 157. Calculate the remainder when l is divided by 5/(105/162) - 10/(-35).
5
Let n be 4 + (-4)/1 + 2. Suppose -n*b + 41 = 2*s - 5*b, -s - 12 = 5*b. Suppose 4*f = -10 - 2, 10*f = -3*u + 81. What is the remainder when u is divided by s?
11
Let r = -40 - -44. Suppose -3*g = r*n - 101, -6*g + g + 183 = 3*n. What is the remainder when 151 is divided by g?
34
Suppose 0 = 4*x - 5*l - 166, 3*x - 5*x - 3*l + 94 = 0. Suppose 4*w + c - x = 103, -3 = 3*c. What is the remainder when 108 is divided by w?
34
What is the remainder when (57 + -102)*(-70)/6 is divided by 22?
19
Let f be (-171)/(-36) + 6/(-8). Suppose -4*i + 5*m = 91 - 574, f*i = m + 471. What is the remainder when i is divided by 24?
21
Suppose 2*m + 22 = -222. Let w = m + 176. Calculate the remainder when w is divided by 19.
16
Let l be 20/(-5)*1*61/(-2). Suppose 43 - l = -x. Calculate the remainder when x is divided by 27.
25
Suppose j + 1 = 7. Suppose 2*n - j = 0, 3*l - n - 6 - 9 = 0. What is the remainder when 77 is divided by l?
5
Let c(n) = -n**2 - 2*n + 10. Let l be c(-4). Suppose -16 = -0*z - 2*z. What is the remainder when 31/l - (-6)/(-12) is divided by z?
7
Let h(k) = 6*k**2 - 10*k. Calculate the remainder when 445 is divided by h(4).
53
Let y(g) = 44*g + 488. What is the remainder when 159 is divided by y(-9)?
67
Let v(t) = t**2 - 9*t + 4. Let c be v(9). Suppose -10 = -2*n - 2*r, 0*n - n - 4*r - c = 0. What is the remainder when 85 is divided by n?
5
Let h be -5 + (-3)/(-4 + 3). Suppose 54 = 2*f + 4. Calculate the remainder when (-1 - h)/(1/97) is divided by f.
22
Let y(z) = 5*z - 10*z - 27 - z. What is the remainder when 12 is divided by y(-6)?
3
Let r = -259 - -302. Calculate the remainder when r is divided by 17.
9
Let s = 501 + -398. Calculate the remainder when s is divided by 26.
25
Suppose -2*l + 7*l + 25 = -5*w, 22 = -2*l - 5*w. What is the remainder when (l - 6/(-4)) + (-1729)/(-26) is divided by 23?
21
Suppose 13*i + 5*f - 60 = 8*i, -3*i + 15 = -4*f. What is the remainder when i is divided by 4?
1
Suppose -5*s + 13 + 2 = 0. Suppose -4*q + 8 = -s*q. What is the remainder when 28 - q/(-2) - 4 is divided by 15?
13
Calculate the remainder when 146 is divided by (-382)/(-6) + (-20)/30.
20
What is the remainder when (-4)/(-10) + (11676/35 - -6) is divided by 49?
46
Suppose -103*t + 198 = -94*t. What is the remainder when 2/(-7) + 578/14 is divided by t?
19
Suppose 6*c + 179 = 1097. What is the remainder when c is divided by 51?
0
Let y = 4 - -34. Suppose -y + 32 = -3*j. What is the remainder when 5 is divided by j?
1
Let a = -49 + 52. Suppose -44 = -3*b + 2*c, -b - 3*c + 87 = a*b. What is the remainder when b is divided by 10?
8
Let o be (4/(-4) + 3)*2. Suppose -9*w + o*w = -385. Calculate the remainder when w is divided by 13.
12
Suppose -19*q - 1344 = -40*q. Calculate the remainder when 381 is divided by q.
61
Suppose 3*r - m - 37 = -0*m, -4*r - 2*m + 66 = 0. Suppose 11*h = 9*h + 8. What is the remainder when r is divided by 0 + 4 + h/(7 - 5)?
2
Let t(o) = 99*o**3 - 3*o**2 + 3*o + 4. What is the remainder when t(2) is divided by 13?
10
Suppose -2*l + 1540 = 4*k, l = 2*k + 6*l - 762. Calculate the remainder when k is divided by 80.
66
Let y be -9*(1 - 3/(-9)). Let q = y + 32. What is the remainder when q is divided by 7?
6
Let f(b) = 2*b - 1. Let k be f(2). Suppose k*l = 3*g, g + 0*g - 3 = 2*l. What is the remainder when 43 is divided by g/(-6)*8 - -7?
10
Let t(z) = z + 7. Suppose -5*n + 63 - 334 = -3*j, -3*j + 273 = -3*n. Suppose 0*h = 5*h + 15, 4*i - j = 4*h. Calculate the remainder when i is divided by t(0).
6
Let w be 1/(-1)*(-1 + -3). Let m(b) = b**2 + b + 4. Let u be m(w). Let p = u - 17. Calculate the remainder when p is divided by 3.
1
Suppose 2*b + 1 = -5*g, 23*b - 25*b = -3*g - 23. What is the remainder when (92/6)/(2/6) is divided by b?
4
Let f(o) be the first derivative of o**4/4 + o**3/3 + o**2/2 + 29*o - 3. Calculate the remainder when f(0) is divided by 8.
5
Let m = 15 + -12. Let g = 9 + -6. Calculate the remainder when g is divided by 2/8*(m + 9/1).
0
Suppose -32 = 3*o - 4*k - k, -3*o = -4*k + 28. Let z be o/(-8) + (-7)/2. What is the remainder when (-6)/(-4) - z/2 is divided by 2?
1
Let u(a) = -6*a + 36. What is the remainder when 55 is divided by u(2)?
7
Suppose 3*k + 4 = -2*j - 0, -4 = 4*j + 4*k. Let d = j + 2. Suppose -l + 2*w + 19 = 0, -l + w + 111 = d*l. What is the remainder when l is divided by 10?
9
Suppose 2 = -4*v + 6, -5*j + 4*v + 156 = 0. Let f = j - -52. Calculate the remainder when 46 is divided by (f/98)/(1/28).
22
Suppose -143*t - 3*i - 102 = -144*t, -i = 4*t - 395. What is the remainder when t is divided by 10?
9
Let r be 115*3 + 2 + 2. Suppose 3*s = r + 296. Suppose 4*u + s = 9*u. What is the remainder when u is divided by 22?
21
Let q = 4633 - 4611. What is the remainder when -1 - (0 - 85*1) is divided by q?
18
Suppose -7*l + 115 = -193. Suppose 2*g - 2*w - 2*w = 16, 2*g + 4*w - 48 = 0. What is the remainder when l is divided by g?
12
Let l = 27 - 14. Suppose 5*y - 18 = 22. Suppose -2*x = -y, -2*o + 3*o - 5*x = 42. What is the remainder when o is divided by l?
10
Let b = 505 - 451. Suppose 0*t - 4*t + 8 = 0. Suppose -5*k = -5*u + 55, -t*u + k = 3*u - 67. Calculate the remainder when b is divided by u.
12
Let r(h) = -h**3 + 2*h**2 - h - 4. Let b be r(3). Let a(y) = -y - 14. Let j be a(b). Let f = j + 8. What is the remainder when 38 is divided by f?
8
Suppose 2*f + 3 = -69. Let c = -2 - f. What is the remainder when 100 is divided by c?
32
Let y = 1392 - 1387. What is the remainder when 20 is divided by y?
0
Let k be 162 - (-1 + (-1 - -4)). Let i = 275 - k. Suppose j - 5*n + 2*n = 30, -3*j = -4*n - i. Calculate the remainder when j is divided by 12.
9
Let m(s) = s**3 - 62*s**2 - 52*s - 691. Let o = 1 + 3. Calculate the remainder when o is divided by m(63).
0
Let u = 3 + 1. Let i(x) = 24*x**2 + 6*x - 7. Let y be i(2). Suppose 115 + y = u*l. What is the remainder when l is divided by 11?
10
Suppose -5*r - 3*c + 182 + 110 = 0, 0 = -4*r - 4*c + 240. What is the remainder when r is divided by 37?
19
Suppose -5*x + 26 = -114. Suppose 2*q - 66 = 5*j + 73, 405 = 5*q - j. What is the remainder when q is divided by x?
26
Let a(r) = -r + 21. Let i be 1/(-7) + (-2)/14*-85. Let