e remainder when w(13) is divided by 8.
6
Let f(v) = -v**3 + 2*v + 2. Let n = 6 + -1. Calculate the remainder when n is divided by f(0).
1
Let y(x) = -x**2 + 5*x + 4. Suppose -5*i - 73 + 298 = 0. Suppose i = 10*g - 7*g. Calculate the remainder when g is divided by y(5).
3
Suppose -13*p + 394 = -399. What is the remainder when 180 is divided by p?
58
Suppose c + 3*q = 6*c + 18, -4*c + 2*q - 16 = 0. Let v = 109 - 72. What is the remainder when v is divided by c/(1 - 19) + (-38)/(-3)?
11
Suppose 0 = 3*z - 15, 0 = 5*a - 14*z + 12*z - 735. Calculate the remainder when a is divided by 50.
49
Let w(p) = -p**2 - 5*p. Let h = 25 - 29. Let v be w(h). Suppose 4*z - v = 4. Calculate the remainder when z is divided by 2.
0
Suppose 12*f = 9*f + 54. Calculate the remainder when (-1)/((0 - 2)/66) is divided by f.
15
Let x = -6 + 0. Let a(k) = k + 13. Calculate the remainder when (27/((-864)/16))/(2/(-132)) is divided by a(x).
5
Let f(v) = 4*v**3 + 2*v**2 - 2. Calculate the remainder when (-678)/(-4)*12/18 is divided by f(2).
37
Let r = -6638 - -9324. What is the remainder when r is divided by 96?
94
Let r(p) = 34*p - 138. What is the remainder when r(36) is divided by 32?
30
Suppose 85 - 467 = -2*l. Calculate the remainder when l is divided by 10.
1
Let g(u) = -8*u**2 + 14 + 2*u**3 - 2*u - 5*u - 3*u**3. Let r be (1 - -4)*(-11 + 9) - -3. What is the remainder when 40 is divided by g(r)?
12
Let y(i) = i**2 - 16*i + 5. Suppose 3*m - 32 = 7. Suppose -m*w = -15*w + 32. What is the remainder when 28 is divided by y(w)?
3
Suppose 213 + 63 = 12*x. Calculate the remainder when 35 is divided by x.
12
Suppose 0 = -2*l - 0 - 8. Let f(v) = -2*v + 6. What is the remainder when 96 is divided by f(l)?
12
Let z(q) = 2*q + 10. Let s be z(3). Let x(l) = 2*l - 28. Calculate the remainder when 51 is divided by x(s).
3
Let g = -83 - -152. What is the remainder when g is divided by 19?
12
Suppose 0 = y - 1 - 18. Let k be ((-12)/4)/((-3)/(-10)). Let f = y + k. What is the remainder when f is divided by 4?
1
Let x(k) = -4*k - 33. Calculate the remainder when 110 is divided by x(-12).
5
Suppose 0 = 393*d - 388*d - 1320. What is the remainder when d is divided by 7?
5
Let r(a) = -17*a - 1. Let d be r(3). Calculate the remainder when ((-13)/(-2))/((-13)/d) is divided by 7.
5
Suppose 5*j - 1943 - 965 = -2*m, 2*m + 572 = j. Suppose 7*l - 337 = j. Calculate the remainder when l is divided by 34.
29
Let c = 889 + -740. Let t = -63 + 88. Calculate the remainder when c is divided by t.
24
Let z(n) = 226*n - 241. Calculate the remainder when z(5) is divided by 56.
49
Let w(q) = q**3 + 5*q**2 + 4*q + 1. Let k be w(-3). Suppose -12*g = -k*g - 60. Calculate the remainder when 44 is divided by g.
8
Let k(o) = -3*o**3 - o**2 + 3. Let n(q) = 3*q**3 - q**2. Let c be n(-1). Let h be (-6 - c) + 1 + -1. What is the remainder when k(h) is divided by 5?
3
What is the remainder when (-2)/(-9) + (-1339)/(-9) + -2 is divided by 47?
6
Let n(c) be the first derivative of 13*c**4/4 + 1. Suppose 4*o - 4 = -0. What is the remainder when n(o) is divided by 5?
3
Suppose -5*p - 66 = -216. Calculate the remainder when p is divided by 17.
13
Suppose 4*c = -2*q - 0*c + 586, -5*q - 5*c + 1440 = 0. What is the remainder when q is divided by 13?
10
Suppose -4*h - 40 = 2*g, -2*h + h = 2*g + 4. What is the remainder when 53 is divided by (h/(-10))/(6/45)?
8
Let k = -89 + 103. Calculate the remainder when ((-27)/(-2))/((-1)/(-4)) is divided by k.
12
Let x = 54 - 6. What is the remainder when x is divided by 12?
0
Let y(n) = -15*n**3 - 2*n**2 - 2*n - 1. Suppose 3*k + 3*l - 6 = -0, 5*k - 20 = 5*l. Calculate the remainder when (-106)/3*k/(-2) is divided by y(-1).
11
Let i(n) = -n**2 - 9*n - 10. Let z be 10/15 + 46/(-6). Calculate the remainder when 14 is divided by i(z).
2
Let o(u) be the first derivative of 6*u - 1/4*u**4 - 2*u**2 + 7/3*u**3 + 13. What is the remainder when o(6) is divided by 5?
3
Let j be 35/(-3) + 2/3. Suppose -4*a + 3*q - 26 = -8, -4*a = q + 10. Let z = a - j. What is the remainder when 23 is divided by z?
7
Let n = 15 + -11. Suppose -z + 1 = 0, -i + 136 = 3*i + n*z. Calculate the remainder when i is divided by 18.
15
Suppose -4*f - 4*b + 348 = 0, -4*f + 45*b = 47*b - 354. What is the remainder when f is divided by 33?
24
Let j(f) = -3*f + 3. Calculate the remainder when -9 + 67 + -10 + 7 is divided by j(-6).
13
Suppose -28*x - 164 = -32*x. Let y = x + 28. Calculate the remainder when y is divided by 24.
21
Let m be 1/1 - (10 - 13). Let p be 2*-3*(m - 3). What is the remainder when (-2)/3 - 448/p is divided by 25?
24
Let n(g) = g**3 - 3*g**2 - 2*g + 1. Let a be n(4). Suppose -3 = 2*z + a. Let b(t) = 2*t**2 + 6*t - 3. Calculate the remainder when b(z) is divided by 12.
9
Let r = 218 - 117. Calculate the remainder when r is divided by 21.
17
Calculate the remainder when 12 - ((-4 - 5) + -12 + 2) is divided by 2/3 - (-92)/6.
15
Let h(t) be the third derivative of t**6/120 + 7*t**5/60 - 3*t**4/8 - 11*t**3/6 - 16*t**2. Calculate the remainder when h(-6) is divided by -3*1 + 0 + 23.
19
Let f = 481 + -40. What is the remainder when f is divided by 12?
9
Let t(f) = 27*f**2 - f - 2. Calculate the remainder when t(-3) is divided by 50.
44
Let p(r) = 3*r**2 - 6*r - 3. Let i be p(3). Suppose -2*c - 4 = -i*w + 2*w, -c + 13 = w. Suppose 2*g + c = 52. Calculate the remainder when 86 is divided by g.
20
Suppose -6*p = -p - b - 101, 4*b = -5*p + 96. Suppose -m = 2*m - 9. Suppose -m*l + p = -10. Calculate the remainder when l is divided by 3.
1
Let c(q) = -q**3 - 7*q**2 - 4*q - 48. What is the remainder when c(-10) is divided by 42?
40
Let x(b) = 17*b**2 - 19*b - 6. Calculate the remainder when x(-4) is divided by 69.
66
Let n(q) = 45*q**2 + q. Suppose 5 - 14 = -3*a + 3*h, 3*a - 17 = 5*h. Calculate the remainder when n(a) is divided by (184/3)/4*12/8.
21
Let m be -1*(4 + -4)*(3 + -2). Suppose m = -12*o + 10*o + 8. What is the remainder when 12 - (1 - -1)/2 is divided by o?
3
Calculate the remainder when 87 is divided by 140/3 - (-2)/6.
40
Let i = 47 - -630. Calculate the remainder when i is divided by 85.
82
Let g = -87 + 130. Let k = 2 + 13. What is the remainder when g is divided by k?
13
Suppose 4*x = 2*p + 31 + 7, -4*x + 20 = 4*p. What is the remainder when x is divided by 4/(5/(15/6))?
0
Suppose k + 664 = -8*l + 11*l, 5*k + 20 = 0. What is the remainder when l is divided by 45?
40
Let f(b) = -b**3 - 3*b**2 + 4*b - 3. Let j be f(-4). Let a = -19 - -29. Calculate the remainder when (-3 - 6/j)*-19 is divided by a.
9
Let y = 25 - 28. Let p(v) = -11*v - 1. Calculate the remainder when p(y) is divided by 11.
10
Suppose -157*p + 155*p = -92. What is the remainder when p is divided by 8?
6
Let x = -33 + 26. What is the remainder when 3 + (-1 - 3) + 3 is divided by ((-2)/x)/((-20)/(-70))?
0
Let r(z) = 6*z - 2. Let b(s) = s**3 + 3*s**2 - 5*s - 6. Let t be b(-4). Calculate the remainder when (7 - -55) + (t - -1) is divided by r(3).
13
Suppose 4*t - 2*d - 66 = -3*d, -4*t = 3*d - 70. What is the remainder when t is divided by 9?
7
Suppose -3*a + 5*h + 49 = -4, 0 = 4*a + 2*h - 88. What is the remainder when 57 is divided by (12/(-7))/((-3)/a)?
9
Let q = 829 + -793. What is the remainder when 163 is divided by q?
19
Let m(o) = -2*o**2 - 10*o + 2. Let h(y) = -2*y**2 - 10*y + 3. Let a(j) = 4*h(j) - 3*m(j). Calculate the remainder when 15 is divided by a(-5).
3
Let q = 5 - -2. Let d = q - 3. Suppose d*a = z + 373, z + 3*z = -a + 72. What is the remainder when a is divided by 31?
30
Suppose 5*x - 28 - 27 = -3*r, 0 = 5*x - 10. Suppose 2*o + 10 = -6. What is the remainder when (-794)/(-14) + o/(-28) is divided by r?
12
Suppose -24*p + 15183 = -2265. What is the remainder when p is divided by 13?
12
What is the remainder when 119 is divided by -6 + 4 - (2 + -25)?
14
Calculate the remainder when 87 is divided by (-2)/2 + (-1 - 0) + 36.
19
Let t be (13/4)/((-8)/(-32)). Suppose 29 = 4*n + t. Suppose -5*q - 2 - 8 = 0, -5*x = n*q - 77. Calculate the remainder when x is divided by 10.
7
Let t be 11/4 - 12/16. Calculate the remainder when 27 is divided by (-1)/(t*(-3)/60).
7
Let z be -3*116/(-60) - (-2)/10. Let l(y) = y**3 - 4*y**2 - 7*y - 1. What is the remainder when l(z) is divided by 8?
5
Let g be (-6)/45 + 133/(-15). Let v = g + 16. Calcu