**3 + b**2. Calculate the remainder when t(6) is divided by 5.
1
Suppose -2*k - 10 = -4*k. Let x(l) = 6*l - 8*l + l**3 - 5*l**2 - 11 - 1. Calculate the remainder when x(6) is divided by k.
2
Let p(m) = -m**3 - 3*m**2 - 2*m + 28. What is the remainder when 447 is divided by p(0)?
27
Calculate the remainder when 855 is divided by (102/15 + 1)/(18/90).
36
Let w(d) = d**2 + 12*d + 25. Suppose -u = 4*y + 41, -2*y - 24 = 2*u + 2*u. What is the remainder when 8 is divided by w(y)?
3
Let f = 236 - 216. Suppose 238 = -3*q + f*q. Suppose -k + 115 = 4*k. Calculate the remainder when k is divided by q.
9
Let a be -32 - -4 - (-8)/2. Let w be 6/2*a/(-9). Let v(t) = t**3 - 8*t**2 + t + 9. Calculate the remainder when 83 is divided by v(w).
15
Let g be (1/(-2))/((-1)/(-94)). Let a = 38 - g. Suppose 4*l - 84 = -2*s, -s + 20 = -0*l + l. Calculate the remainder when a is divided by l.
19
Let j = -84 + 121. What is the remainder when 293 is divided by j?
34
Suppose 33*m = 65 + 430. Calculate the remainder when 266 is divided by m.
11
Suppose -78 + 117 = 13*k. Suppose 4*d = 5*r - 92, 2*d - 31 = -3*r + 11. What is the remainder when r is divided by k?
1
Suppose z + 3 - 11 = -k, 0 = 3*z. Calculate the remainder when k is divided by 7 + 2/(-3)*3.
3
Let m be (-231)/12 + (-2)/(-8). Let z(b) = b**2 + 18*b - 22. Let c be z(m). Calculate the remainder when 15 is divided by 15*c*(-6)/27.
5
Suppose 2*i + 3*g = 56, -4*i + 17 = -4*g - 75. Suppose -362*d + 150*d + 2756 = 0. What is the remainder when i is divided by d?
12
Suppose -4*g + 1 = -143. Calculate the remainder when 160 is divided by g.
16
Suppose -2*t = 2*l - 6*l - 124, 221 = 3*t + l. Calculate the remainder when 1222 is divided by t.
70
Suppose -3*b + 124 = 4*p, 2*b + b = -p + 112. Let i(j) = -63*j + 1144. Calculate the remainder when b is divided by i(18).
6
Let b = 686 + -667. Let i(c) = -c + 70. Calculate the remainder when i(0) is divided by b.
13
Let x(p) = p**2 - 3. Let z(q) = -6*q - 16. Let l be z(-3). Suppose -4*g = -8, 3*w - l*g + 0*g - 77 = 0. What is the remainder when w is divided by x(-3)?
3
Let x = -146 + 156. Calculate the remainder when 107 is divided by x.
7
Calculate the remainder when 836 is divided by -48*((-3)/24)/(4/16).
20
Let n(v) = -12*v + 65. What is the remainder when n(-7) is divided by 32?
21
Suppose -2*n = -l - 1184, 2*l = -5 - 3. What is the remainder when n is divided by 27?
23
Let x(m) = 2*m**2 + 11*m - 147. Calculate the remainder when x(10) is divided by 11.
9
Let c = -769 - -778. What is the remainder when 348 is divided by c?
6
Suppose 0 = -w + 17 + 19. What is the remainder when 286 is divided by w?
34
Let g(p) = p**2 - 7*p + 23. What is the remainder when (1 - 1) + (-576)/(-9) is divided by g(6)?
13
Let n(w) = -4*w - 2. Let t be n(-1). Suppose -t*b + 8 + 26 = 0. What is the remainder when 48 is divided by b?
14
Let q = 271 - 186. What is the remainder when q is divided by 43?
42
Let t(q) = -3*q**3 - q**2. Let c = 89 - 95. Calculate the remainder when 1 - 6/(12/c) is divided by t(-1).
0
Let h(q) = q**2 + q + 41. Let r be h(0). Suppose 2*t - 1 = r. Suppose 5*k - 75 = 2*s + s, -2*s = 10. What is the remainder when t is divided by k?
9
Suppose 4*v = -2*l + 104, -2*v - 4*l + 40 = -v. Let o = 260 + -143. Let b = -112 + o. Calculate the remainder when v is divided by b.
4
Let o(u) = 8*u + 12. Let s be o(-2). What is the remainder when (-42)/(-24)*s*-3*2 is divided by 5?
2
Let z = -1233 - -1325. Calculate the remainder when 1931 is divided by z.
91
Suppose 8*y + 32 = 4*y - b, 4*b = 0. Let m = y + 12. Calculate the remainder when 54 is divided by 1/(-2) + 78/m.
16
Let z be 16/104 + (-4)/26. Suppose z = 2*j + 2*r - 150, -r - 147 = -2*j - 0*r. What is the remainder when j is divided by 21?
11
What is the remainder when 195 is divided by (-114)/(-627) + ((-636)/11)/(-1)?
21
Let o(a) = -a**3 + 5*a**2 + 2. Let g(d) = 13*d - 280. Calculate the remainder when o(3) is divided by g(22).
2
Suppose -8*w + 161 = 41. Suppose 2*i + 137 = 5*r, 2*i = -0*i + 8. Calculate the remainder when r is divided by w.
14
Let t = 49 + -44. Let d(z) = 2*z. What is the remainder when 36 is divided by d(t)?
6
Let u(b) = -10*b + 121. Let y = 3 - 2. Suppose s + r - 1 = -r, s - y = -3*r. Calculate the remainder when u(12) is divided by s.
0
Suppose -891 = 5*a - 38*a. What is the remainder when 40 is divided by a?
13
Let p = 1573 + -1569. What is the remainder when 377 is divided by p?
1
What is the remainder when 84/((1 - 0)*2) is divided by 6 + (4 - (-4 - -5))?
6
Let i(z) = -z**3 + 6*z**2 + 10*z - 5. Let g(u) = u**2 + 8*u - 12. Let r be g(-9). Calculate the remainder when r/9*-233 + (-1)/(-3) is divided by i(7).
14
Let x(s) = -80*s - 53. Let j be x(-13). Suppose j + 471 = 18*w. What is the remainder when w is divided by 28?
25
Let k(n) = -422 + 421 + 5*n - n**2 + 4*n. Suppose l = -4*l + 15. Calculate the remainder when k(3) is divided by l.
2
Let s be 3/1 - (-1 + (0 - 48)). Let f = s + -34. Suppose 0 = 4*d + 2*n - 38, -d - 2*n + 2 + 6 = 0. Calculate the remainder when f is divided by d.
8
Let s = 45 - -12. Suppose 12*q - 123 = s. Calculate the remainder when 28 is divided by q.
13
Let r(p) = -3*p**2 - 2*p - 4. Let x(l) = -4*l + 0*l - 4*l**2 - 8 - 3*l**2. Let u(b) = 9*r(b) - 4*x(b). Calculate the remainder when 60 is divided by u(-5).
29
Suppose 574 + 651 = 5*x. What is the remainder when (-1)/((-6)/(-15) + (-103)/x) is divided by 26?
23
Suppose -84 = -2*i - 3*l, 0 = -l + 5*l + 16. Let y = -29 + i. What is the remainder when y is divided by -4*5/10 - -13?
8
Suppose x = -0*s + 3*s - 1, -4*s = 3*x - 49. Let k = -335 + 217. Let i = -76 - k. What is the remainder when i is divided by x?
9
Let a(d) = d**3 - 13*d**2 + 12*d + 4. Suppose 70 = 12*g - 62. Calculate the remainder when g is divided by a(12).
3
Suppose 0 = -4*t + 53 + 43. What is the remainder when t is divided by 17?
7
Suppose -41 = 5*n + 19. Calculate the remainder when -2 + (4 - n) + 3 is divided by (-204)/(-20) - 2/10.
7
Suppose -6 + 4 = -3*d - q, 4*d - 16 = 2*q. Suppose -d*n - 3*n = -2*w - 185, 74 = 2*n + 3*w. What is the remainder when 147 is divided by n?
36
Let k(d) be the first derivative of 6*d**4 + d**3/3 - d - 9. What is the remainder when k(1) is divided by 9?
6
Let c = 89 - 82. Calculate the remainder when 362 is divided by c.
5
Let l(m) = m - 3. Let c be l(-9). Let y = c - -20. Suppose 3*g = y*g - 305. Calculate the remainder when g is divided by 21.
19
Suppose 114*x = 5*y + 113*x - 176, -5*x - 5 = 0. What is the remainder when y is divided by 28?
7
Let m be ((-3)/(-2))/(2/4). Let q = 0 + m. Suppose -2*p = 5*i - 307, -2*i - q*i = -5*p - 335. Calculate the remainder when i is divided by 16.
15
Let l(k) = -28*k + 86. Let c(f) = 3*f + 3. Let b(s) = -9*s - 8. Let o(t) = 4*b(t) + 11*c(t). Calculate the remainder when o(-1) is divided by l(3).
0
Suppose y = -4*n + 36, 5*y - 3*n - 87 - 24 = 0. Let s = y - 16. What is the remainder when 17 is divided by s - (4 - (-3 - -4))?
2
What is the remainder when 110 is divided by ((-48)/(-9))/((-5)/(7 + -37))?
14
Let k(t) = -15*t**3 - t**2 - t. Let c be k(-1). Suppose -14*z - 10 = -c*z. What is the remainder when 29 is divided by z?
9
Let w = 9 + -2. What is the remainder when w + -4 + (-5)/(15/(-54)) is divided by 8?
5
Suppose 68 + 16 = 2*l. Suppose n - 3*u - 23 = 0, -2*n - u - 30 + 76 = 0. What is the remainder when l is divided by n?
19
Let k be (-2)/(-4) - 4095/(-42). Let x = k - 68. What is the remainder when 57 is divided by x?
27
Suppose 0 = -4*x + 2*x + 18. Suppose -3*k - 3 = -x. Let l = -2 + 4. What is the remainder when k is divided by l?
0
Suppose -3*f + 2*f - 2*x = 7, 3*x + 28 = -5*f. Let p = 0 - f. Suppose n + 11 = -p*i, n + i - 19 = 2*i. What is the remainder when n is divided by 6?
2
Suppose 0 = 2*k + 3*k - 80. Let y = k + -12. Suppose 5*m + 35 = n, 3*n - 2*n + y*m = 17. What is the remainder when n is divided by 9?
7
Suppose 4*s + 21 = 5*d - 0*s, 4*d + 2*s = -4. Suppose -3 + d = -r. Suppose -5*v - 4*n + 45 = -22, -n = r. What is the remainder when 44 is divided by v?
14
Let h = -9 + -1. Let b = 17 + h. Suppose 8*n = 33*n - 75. Calculate the remainder when b is divided by n.
1
Suppose -14 = 2*b - 2*i, -14 = b + 3*i + 1. Suppose -5*g + 3*g + 47 = -5*r, -g + 2*r = -24. Let q = g + b. Calculate the rem