y d.
6
Let a = 54 + 12. Let z(i) = 5*i**2 + 2*i + 34. Let d be z(-8). Suppose 16*m - 30 = d. Calculate the remainder when a is divided by m.
20
Suppose 24 = n + 2*n. Suppose 8*w - 2 = 4*s + 42, s - 37 = -4*w. What is the remainder when w is divided by n?
0
Let j = 34 - 30. Suppose -3*g + g = -44. What is the remainder when ((-2)/j)/(28/(-2296)) is divided by g?
19
Suppose 7*f + 797 = 2239. Calculate the remainder when f is divided by 21.
17
Suppose -2*g + 3 = -3*g. Let i be 4 + (-3)/((-9)/(-12)). What is the remainder when 4 is divided by -1 - -3 - i/g?
0
Suppose -10*b + 2090 = -5*b. Let n = -163 + b. Calculate the remainder when n is divided by 32.
31
Let a(z) = 3*z**3 + 51*z**2 + 46*z - 2. Calculate the remainder when 92 is divided by a(-16).
2
Let b(w) = w**2 - 10*w + 20. Calculate the remainder when 42 is divided by b(9).
9
Suppose -2*d + 4 = 2*d. Let j be -3*(-2 - 3/d). Let c = j + 1. Calculate the remainder when c is divided by 9.
7
Let t = -13 + 8. Let l(i) = -6*i + 3. Let v = -95 - -224. What is the remainder when v is divided by l(t)?
30
Let f = 1 + 2. Suppose -18*g - 3*x + 211 = -14*g, -7 = x. What is the remainder when g is divided by f?
1
Calculate the remainder when 466 is divided by 86 + 6/(60/(-70)).
71
Let m be (-11)/((-55)/(-10)) - 7. Calculate the remainder when (2 + m/6)*74 - 3 is divided by 22.
12
Let w(y) = -y**3 - 5*y**2 + 11*y + 6. Calculate the remainder when w(-7) is divided by ((-57)/12 - -4)*-20.
12
Suppose -411 - 129 = -10*c. What is the remainder when 213 is divided by c?
51
Let z = -1086 - -1232. Calculate the remainder when z is divided by 9.
2
Suppose -19*j = -14*j. Suppose u + 8 - 23 = j. What is the remainder when 29 is divided by u?
14
Suppose -153 = 17*q - 918. What is the remainder when q is divided by 33?
12
Let c be 1 + -4 + 5 + -2. Suppose 2*n + 4 = -c*n. Let q(x) = -7*x + 3. Calculate the remainder when 49 is divided by q(n).
15
Let r(x) = 6*x**3 + 2*x**2 + x. Suppose -27*t = -32*t + 230. What is the remainder when r(3) is divided by t?
45
Let s(b) = 2*b + 74. Calculate the remainder when 135 is divided by s(-33).
7
Suppose 25*m - 650 = 15*m. Calculate the remainder when m is divided by 14.
9
Let u be ((-2)/(-3))/((-26)/(-117)). What is the remainder when 52 is divided by 3*(u + -2) + 12?
7
Let t = -162 + 169. Let l = 0 - -4. What is the remainder when t is divided by l?
3
Let y(i) = 2*i - 6 - 5*i + 0*i**2 + i**2. Suppose -5*f + 46 = -4*a, -5*f + a - 12 = -46. Calculate the remainder when f is divided by y(5).
2
Let y(l) be the second derivative of 11*l**3/6 - 2*l**2 + 4*l. Calculate the remainder when 113 is divided by y(3).
26
Let l be 6 + (-100)/15 - 146/(-3). Let m = l - 34. Calculate the remainder when 24 is divided by m.
10
Let y(k) = k**3 - 10*k**2 + 3*k - 23. Let i(l) be the first derivative of 3*l**2/2 + 2*l + 1. What is the remainder when i(6) is divided by y(10)?
6
Suppose -3*o + 251 + 262 = 3*p, 5*o - 855 = -p. Calculate the remainder when o is divided by 63.
45
Let q = 20 + -28. Let h = q - -46. What is the remainder when h is divided by (31 - 30)*20/((-4)/(-2))?
8
Let y be 4/18 - (-497)/(-9). Let f = y - -96. Let m = f + 39. Calculate the remainder when m is divided by 27.
26
What is the remainder when (-10)/40 + (-39)/(-12) + 204 is divided by 73?
61
Let w(m) = -m**3 + 8*m**2 - 7*m - 3. Let j(t) = 2*t**3 - 16*t**2 + 13*t + 7. Let k(a) = -6*j(a) - 13*w(a). What is the remainder when 6 is divided by k(6)?
0
Let y(s) = 32*s - 17. Let z be (-1)/(-6) - 44/(-24). Calculate the remainder when y(z) is divided by 8.
7
Let s(h) = 11*h**2. Let x = 17 + -16. Let b be s(x). Let k(z) = 6*z - 8. Calculate the remainder when k(b) is divided by 15.
13
Let k(x) = -6*x - 22. What is the remainder when 52 is divided by k(-6)?
10
Let d(q) = -3*q - 8. Let a be d(-4). Suppose -u + 1 + 10 = 4*o, -2*o - a*u = 12. Calculate the remainder when (-1260)/(-16) - (-1)/o is divided by 27.
25
Let a = -141 + 220. What is the remainder when a is divided by 959/49 - (-6)/14?
19
Let u = 239 + -100. Let w = u + -80. What is the remainder when w is divided by 15?
14
Suppose -5*h + 4*v = -7, -4*h - 2*v + 7 = -3*h. Suppose g - 20 = h. Calculate the remainder when 64 is divided by g.
18
Let s be -12 - (-1)/((-1)/(-4)). Let c be (-4)/(-3)*(s - -11). Let t = 20 - c. What is the remainder when 30 is divided by t?
14
Let z(u) = -u**2 + 10*u + 24. Suppose 0 = -o + r + 10, 40 + 17 = 5*o + 2*r. What is the remainder when 74 is divided by z(o)?
9
Suppose 30*l - 31*l - 20 = -3*x, x - 2*l = 0. Calculate the remainder when 11 is divided by x.
3
Let r = -29 - -23. What is the remainder when ((-4)/r)/(6/864) is divided by 14?
12
Let s = -133 + 145. Let f be 9*-3*(-2)/6. Suppose -2*m + 4*g + 34 = 0, 4*m - 3*g + 20 = f*m. Calculate the remainder when s is divided by m.
5
Let t = -890 - -915. Let m(w) = w**3 + w**2 + w. Let q be m(0). Suppose -284 = -4*n - q. What is the remainder when n is divided by t?
21
Let q = -287 + 346. Let h = 68 - 48. What is the remainder when q is divided by h?
19
Let p be -2 + (-5)/(-2)*6/(-3). Suppose -2*z = -3*z + 23. Calculate the remainder when z is divided by (-17)/119 + (-85)/p.
11
Suppose 3*c - 6 = 3. Suppose 1 = y - c. Calculate the remainder when (-9)/(-6)*(-10)/(-1) is divided by y.
3
Let l = -19 - -22. Suppose z = -l*z + m + 44, 4 = z - 2*m. What is the remainder when 23 is divided by z?
11
Suppose -6*m = -608 + 224. Calculate the remainder when m is divided by 15.
4
Let x = 20 + 0. Let l(z) = z**3 + 10*z**2 + 5*z - 53. Calculate the remainder when l(-8) is divided by x.
15
Let h = 2850 + -2781. Let k = -16 - -51. What is the remainder when h is divided by k?
34
Let h be (-10)/3*(3 + 18/(-10)). Calculate the remainder when 17 is divided by -1 - (-3 - 9 - h).
3
Suppose -7*k = 231 - 1680. What is the remainder when k is divided by 70?
67
Suppose -2*y - 12 + 4 = 0. Let i(v) = v**3 + 7*v**2 - 2. Calculate the remainder when i(y) is divided by -10*((-297)/220 - (-2)/(-8)).
14
Suppose -74 - 11 = -5*u. Calculate the remainder when 61 is divided by u.
10
Let r = -32 + 36. Suppose 4*a - 7 = r*x - 63, 2*a - 22 = -3*x. What is the remainder when x is divided by 3?
1
Let p be 12/15 - (-648)/(-10). What is the remainder when 45 is divided by 1/(18/238) - p/(-288)?
6
Suppose 20 = -4*v, i + 0*v + 4*v + 5 = 0. Suppose t + m + 12 - 14 = 0, 2*t - m - 13 = 0. What is the remainder when i is divided by t?
0
Suppose -b = -4*w - 26, -5*w + 72 = 3*b + 11. Suppose 18 = y + y + 3*q, -2*y + 4 = -4*q. Calculate the remainder when b is divided by y.
4
Suppose -127 = -5*k + 93. Suppose 3*f - 43 = -v, -2*v - 69 = -4*f - v. Calculate the remainder when k is divided by f.
12
Let r(c) = 50*c**2 + c. Let v = -15 + 2. What is the remainder when r(1) is divided by -2*v/(-2)*-1?
12
Let a(w) = 4*w + 164. What is the remainder when 278 is divided by a(-31)?
38
Suppose 383 = -6*a + 467. What is the remainder when 208 is divided by a?
12
Let f(i) = i**3 - 9*i**2 + 23*i + 4. Calculate the remainder when 56/(-3)*(-18)/12 is divided by f(5).
9
Suppose -j - 8 = -11. Suppose -4*k + 3*n + 72 = 0, 3*k - 2*n = -j*n + 41. What is the remainder when 57 is divided by k?
12
Let s be (-3)/(-5) + (24381/45)/7. Suppose 0 = 4*f + x - 6*x - 43, s = 4*f + 2*x. Let d = -75 + 108. Calculate the remainder when d is divided by f.
16
Suppose -u + 168 = 4*q, -6*u + 8 = -4*u. What is the remainder when q is divided by 14?
13
Suppose -2*p + 5*p = 4*y - 8, 2*p + 6 = 3*y. Let b be -13 + (0 + p)/3. Let q = b - -22. Calculate the remainder when 25 is divided by q.
7
Let j(v) = -v - 34. What is the remainder when 8 is divided by j(-35)?
0
Let a(x) = -6*x - 8. Let h = 5 + -13. Let f be a(h). Let l = 69 - f. What is the remainder when l is divided by 16?
13
Let u = 1112 - 1089. Calculate the remainder when 36 is divided by u.
13
Let f(p) = 6*p - 4. Let l be f(3). Suppose -3 = -t + 5*z, -l = -3*t + z + 23. Suppose -5*c = -8 - 12. Calculate the remainder when t is divided by c.
1
Let o(a) = a**2 + a + 50. Let y(x) be the first derivative of x**4/4 + 8*x**3/3 + 5*x**2 - 12*x + 7. Calculate the remainder when o(0) is divided by y(-5).
11
Suppose -2*z = 3*q + z - 63, 0 = q + 2*z - 25. Suppose 0 = -6*o + 3*o. Let b(t) = -t + 9. Calculate the remainder when q is divided by b(o).
8