= 2*z, 2*l - 4*z - 68 = 0. Suppose -12*u = -16*u + l. Calculate the remainder when u is divided by -1*(1 + (-2 - 5)).
5
Let y(u) = 5 - 1 + 4*u**2 - 8*u + 2. Suppose -25 = -5*p + 25. What is the remainder when y(4) is divided by p?
8
Let b be -1*1*4/(-4). Let u be 14/84 + b/(-6). Suppose 5*d = -2*z - 17 + 159, -4*d - 4*z + 116 = u. What is the remainder when d is divided by 16?
12
Let v(y) = -y**3 - 10*y**2 + 19*y + 12. Calculate the remainder when 141 is divided by v(-12).
69
What is the remainder when -6*(-131)/2 - -6 is divided by 40?
39
Let f = -334 + 482. Suppose 0 = 4*z - 9 - 111. What is the remainder when f is divided by z?
28
Let h(w) = w**3 - 5*w**2 + 5*w + 1. Let a be h(4). Suppose -a*b = -67 - 23. Let p = -101 - -152. Calculate the remainder when p is divided by b.
15
Let z = -79 + 113. Let x(d) = 2*d**2 + 7*d - 5. Let p be x(-5). Suppose 1622 = p*a + 282. What is the remainder when a is divided by z?
32
Let c(b) = 2*b + 128. What is the remainder when c(23) is divided by -1 + 4 - (6 + -47)?
42
Suppose 9*c = 10*c - 6. Let s = 17 + -12. What is the remainder when c is divided by s?
1
Let u = -305 + 307. Suppose -5*p = -7 - 3. What is the remainder when p is divided by u?
0
Suppose 6*w = 2*w + 8. Suppose w*m - 52 + 36 = 0. What is the remainder when 15 is divided by m?
7
Suppose -3*v - 3*j - 2*j + 38 = 0, -j = -5*v + 54. What is the remainder when v is divided by 5?
1
Suppose 0 = -4*o - 367 - 5. Let r = 54 + o. Calculate the remainder when 57 is divided by (5 - 1)/((-13)/r).
9
Let s(z) be the second derivative of -z**4/12 + 2*z**3/3 + z**2/2 + 2*z. Let h be s(6). Let l = -6 - h. What is the remainder when 8 is divided by l?
3
Let s = 33 + -29. Suppose x = -x + 3*g + 120, s*g + 232 = 4*x. What is the remainder when (-202)/(-18) - 12/x is divided by 6?
5
Suppose 2*b + 2*v = 52, 32*b - 28*b = 5*v + 86. What is the remainder when 131 is divided by b?
11
Let h = -93 - -28. Let d be h/((-2)/4 - 0). Calculate the remainder when 23 is divided by d/11 + 2/11.
11
Suppose -3*j + 2*x + 2*x = 12, -3*j + 5*x = 15. Suppose j = 5*t - w - 576, 1 - 3 = 2*w. Calculate the remainder when t is divided by ((-27)/(-6) + -4)*78.
37
What is the remainder when 22 is divided by (1 + -14)/(4 + -5)?
9
Let x = -4 - -6. Let z = -25 - -35. Suppose -3*q + x*q + z = 0. What is the remainder when 39 is divided by q?
9
Suppose 0 = 4*h - z - 71, 2*h - 16 = -4*z + 6. Suppose 4*i - x = x + 252, 189 = 3*i - x. Calculate the remainder when i is divided by h.
12
Let q = -396 + 400. Calculate the remainder when 21 is divided by q.
1
Let g(s) = -42 + 2*s**2 - s**2 + 20. Calculate the remainder when g(11) is divided by 51*1/(3/2).
31
Suppose -3*p = -3*c + 8*c - 23, -2*c + 3*p + 5 = 0. Let y = 391 + -388. Suppose l - c = -y*l. Calculate the remainder when 1 is divided by l.
0
Let d = 34 + -31. Suppose 4*g + 8*m - 41 = 3*m, 3 = d*m. What is the remainder when 11 is divided by g?
2
Let q(b) = -b**3 - 10*b**2 - 11*b - 3. Let j be q(-9). Let c = 6 + j. What is the remainder when c is divided by 11?
10
Suppose 120*w + 2655 + 2277 = 394*w. Let p be 10/(-14) + (-4)/14. What is the remainder when w is divided by (-3)/(1*-2 - p)?
0
Let s = -15 + 43. Suppose x + x + s = 0. Let a = 9 - x. Calculate the remainder when 66 is divided by a.
20
Let f = 0 - -29. Let h(x) = -x**2 + 10*x - 10. Calculate the remainder when f is divided by h(8).
5
Suppose 3*u + 6 = 18. Suppose -u*d = -97 - 91. Suppose -15 = -3*j, -3*i + 568 = -2*j + 503. What is the remainder when d is divided by i?
22
Let a(r) = 0*r**3 - r**3 + 14 + 17*r**2 - 24*r**2 + 5*r. What is the remainder when a(-9) is divided by 33?
32
Suppose 0 = 3*d - 413 - 7. Calculate the remainder when d is divided by 25.
15
Let b(o) = 4*o - 6 - 2*o - o. Suppose i - 9 = -2*i. Calculate the remainder when i is divided by b(8).
1
Let g = -56 - -172. Calculate the remainder when g is divided by 17.
14
Suppose 3*x = x + 192. What is the remainder when 187 is divided by (x/14)/(-2)*(5 - 19)?
43
Calculate the remainder when (-2265)/(-25) - (-4)/10 is divided by 47.
44
Let i = 330 - 311. Let r = -20 - -36. Let m = r + -6. Calculate the remainder when i is divided by m.
9
Let c be 148/18 - 6/27. Suppose 6*o + 4 = c*o. Suppose -t - o + 27 = 0. What is the remainder when 99 is divided by t?
24
Suppose -3*q + 273 = 2*s, -q + 124 - 34 = s. What is the remainder when 176 is divided by q?
83
Let d be ((-24)/(-10))/((-10)/(-25)). Let o = 19 - d. What is the remainder when 34 is divided by o?
8
Let q(z) = 2*z**2 + 4*z - 6. Let x(m) = m**3 + 7*m**2 + 5*m + 2. What is the remainder when q(-8) is divided by x(-3)?
21
Let o(t) = 13*t**2 - 99*t - 4. Calculate the remainder when o(13) is divided by 101.
98
Suppose 2*b + 119 = 133. Let v = 16 + 9. Let i = 45 - v. Calculate the remainder when i is divided by b.
6
Let t(j) be the first derivative of j**3/3 + 3*j**2 + 5*j + 1. Let y(s) = s**3 + 6*s**2 + 126*s + 640. Calculate the remainder when y(-5) is divided by t(-7).
11
Let h(m) be the second derivative of 4*m**3/3 - 3*m**2/2 - 26*m. Calculate the remainder when 51 is divided by h(2).
12
Let x(y) = -y**3 - 13*y**2 - 2*y - 13. Suppose 4*h = -56 + 184. Suppose 4*j + 0*a - 145 = 3*a, 5*a = j - h. What is the remainder when j is divided by x(-13)?
11
Let j(l) = -l**3 - 13*l**2 - 19*l - 35. What is the remainder when j(-12) is divided by 25?
24
Let s = -57 + 109. What is the remainder when 258 is divided by s?
50
Let k(i) = -2*i**2 + 20*i + 10. Let p be k(11). What is the remainder when 79 is divided by p*(-5)/(15/4)?
15
Suppose -79 - 89 = -2*m + 3*w, w = -5*m + 437. Calculate the remainder when m is divided by 46.
41
Suppose -20*o - 537 = -1637. Let m(k) = 5*k**3 + 2*k - 1. Let n be m(1). Let y = n + 8. What is the remainder when o is divided by y?
13
Suppose 2*x - 16 = -4. Suppose -8 + 5 = -h. What is the remainder when x is divided by h?
0
Let b(l) = 8*l + 1. Let t(h) = 17*h + 1. Let y(m) = -5*b(m) + 3*t(m). What is the remainder when y(1) is divided by 4?
1
Suppose 0*h - 3 = -3*h. Suppose 5*l = -3*z + 44, -2*l = -h - 7. Let t = -6 + z. What is the remainder when t is divided by 2?
0
Let i be 36/(22/(-24) - (-2)/8). Let s = -49 - i. Let c(y) = 4*y**2 + 1. Calculate the remainder when c(2) is divided by s.
2
Suppose 0 = -0*n - 4*n + 44. Suppose -2*l = 2*t - n - 13, -3*t + 30 = 5*l. Calculate the remainder when 42 is divided by t.
12
Suppose m = -1223 + 1343. What is the remainder when m is divided by 14?
8
Let g(d) = 35*d**3 - 2*d**2 + 2*d - 1. Suppose 48 = -3*k + 249. What is the remainder when k is divided by g(1)?
33
Let i(g) = -2*g - 3. Let j be i(3). Let w(h) = -h**3 - 8*h**2 + 2*h - 7. Let r be w(j). Suppose 0*m + r = 2*m. Calculate the remainder when m is divided by 10.
8
Suppose -25 = -3*j - 2*j - 4*v, 3*v = 0. Let p be (-5)/j - -1*7. Calculate the remainder when 16/p*6 - 1 is divided by 4.
3
Let s(u) = 2*u + 2. Let l be s(-4). Calculate the remainder when 6 - (-2 - 1*l) is divided by 1.
0
Let k(b) = -b**2 + 45*b - 393. Suppose -4*y + y = -36. What is the remainder when k(30) is divided by y?
9
Suppose 5*f + 5*s - 452 = 1008, -f + 298 = -5*s. What is the remainder when f is divided by 101?
91
Suppose -2*g + 7 + 5 = 0. Let o(d) = 2*d**2 - 4*d - 4. Calculate the remainder when o(g) is divided by 15.
14
Let u be 15 + (-9)/(6 + -3). Suppose 0 = l + 2*l - u. Let f = l - -12. Calculate the remainder when 46 is divided by f.
14
Let a(u) = -u + 5. Let r be a(-5). Suppose -r*z - 3 = -7*z. Let y = z - -51. Calculate the remainder when y is divided by 13.
11
Let i be 0 + 0/(4 - 0). What is the remainder when i - (268/(-4) - 1) is divided by 23?
22
What is the remainder when 305 is divided by 164/4 + 6 + -3?
41
Calculate the remainder when 142 is divided by ((-308)/49 + 5)/((-2)/14).
7
Suppose l = h + h - 2456, -3*h + 3*l + 3678 = 0. Suppose 5*v = -v + h. What is the remainder when v is divided by 52?
49
Suppose 120 = 2*h - 188. Let p be (-12)/48 - h/(-8). Let d = -11 + p. What is the remainder when 15 is divided by d?
7
Calculate the remainder when 19 is divided by -1 + 2 + 2/1.
1
Let w = 450 + -297. Suppose -i - w = -5*f, -13 = 5*f - 2*i - 164. Let a(k) = 5*k - 4. Calculate the remainder when f is divided by a(3).
9
Let x = 153 + -130. What is the remainder when 54 is divide