**2. What is the remainder when w(-8) is divided by 23?
20
Let c(a) = 2*a**3 - 4*a**2 - 4*a - 3. Calculate the remainder when c(4) is divided by 12.
9
Let u = -11 + 13. Suppose -6*s + 5*q = -s - 110, u*s = q + 39. Let x = 5 + 44. Calculate the remainder when x is divided by s.
15
Let m(c) = c**2 - 1. Let r = 8 - 4. What is the remainder when 42 is divided by m(r)?
12
Suppose 51 = 8*r - 29. What is the remainder when r is divided by 4?
2
Suppose -27 = -2*u + 47. Calculate the remainder when 181 is divided by u.
33
Let j be (1 - 3) + (45 - -4). Suppose 5*d - 222 = -j. What is the remainder when d is divided by 12?
11
Let a(f) = 4*f**2 - 2*f. What is the remainder when a(3) is divided by 16?
14
Suppose 3*a + 6 = a + 4*q, 30 = 2*a + 5*q. Suppose 0 = -a*y + 26 + 64. Calculate the remainder when 35 is divided by y.
17
Calculate the remainder when 43 is divided by 3/(-9) - 92/(-6).
13
Suppose 0 = -a - 2*a + 18. Let d = 30 + a. What is the remainder when d is divided by 19?
17
Suppose 3*i - 4*i - 2*y = -9, 2*i - 23 = -5*y. Let b = i - -6. Suppose -5*j + 51 = 16. What is the remainder when j is divided by b?
2
Suppose -70 = -2*o - 0*m - 4*m, -4*o - m = -119. Calculate the remainder when 115 is divided by o.
28
Suppose 3*q = 3*w - 12, 5 = -2*w - 3*q + 3. Let c(b) = 0*b**2 - 10*b**2 - b**3 - 8*b + 2*b**2 - 5 + 0. Calculate the remainder when c(-7) is divided by w.
0
Let w = 335 + -162. Calculate the remainder when w is divided by 58.
57
Suppose 4*s = -19 + 91. Let g = s - 10. What is the remainder when 29 is divided by g?
5
Suppose 24*w - 25*w + 1 = 0. What is the remainder when 4 is divided by w?
0
Let z = 3 - -11. Let m = -3 + 8. Calculate the remainder when z is divided by m.
4
Let k be (8/(-1))/2*-1. Suppose -h + 25 = k*h. Calculate the remainder when h is divided by 3.
2
Let z(o) = -15*o + 2. Let i be z(-2). Suppose 5*a - a - i = 0. What is the remainder when a is divided by 3?
2
Suppose 0 = -2*d - 2*d + 72. What is the remainder when 70 is divided by d?
16
Let t be (-118)/(-6) - 1/(-3). Suppose w - 5 = 0, t + 39 = 3*q - 2*w. Let y = -23 + 35. Calculate the remainder when q is divided by y.
11
Let y be (3*2)/(6/(-40)). Calculate the remainder when 18 is divided by ((-9)/(-18))/((-2)/y).
8
Let m = 100 + -92. Calculate the remainder when 39 is divided by m.
7
Suppose 9 = -k + 4*k. Suppose k = o + 8. Let d = -3 - o. What is the remainder when 7 is divided by d?
1
What is the remainder when (-9 - -5 - 22)*-2*2 is divided by 27?
23
Let a(n) = -n**2 - n + 5. Let r be a(0). Suppose 0 = 2*t + 4*g + 6, 4*g + 28 = r*t + 1. What is the remainder when 7 is divided by t?
1
Suppose 5*d + 1 = -4, 152 = 3*u + d. Calculate the remainder when u is divided by 13.
12
Suppose -3*u + u = -8. Suppose 40 = t + 14. Calculate the remainder when t is divided by (21/(-2))/((-3)/u).
12
Let t(n) = n**2 - 8*n - 7. Let b be t(9). Let u be -10*(0 + 1/(-2)). Suppose -5*k + 15 = 0, -4 = -b*o + u*k + 33. What is the remainder when o is divided by 14?
12
Let r(a) = -2*a + 2. What is the remainder when 27 is divided by r(-6)?
13
Suppose 3*w + 41 + 1 = 0. Let p = w + 21. What is the remainder when 25 is divided by p?
4
Suppose -2*a - 10*a + 300 = 0. Calculate the remainder when 47 is divided by a.
22
Suppose -3*i - 89 = -2*w, 2*w + 7*i - 2*i = 81. What is the remainder when 214 is divided by w?
42
Let i = -60 - -101. Calculate the remainder when i is divided by 7.
6
Suppose s - 2*w - 4 = -0*w, -4*w = -s + 10. What is the remainder when (6/12)/(1/12) is divided by -1 + 5 - s - 2?
2
Let f(i) = 13*i**2 + i. Let u(s) = s**3 + 4*s**2 - 6*s - 4. Let b be u(-5). Calculate the remainder when (-6 - -26)/((-1)/(-2)) is divided by f(b).
12
Let h(u) = -20*u**3 + 2*u**2 - 1. Let c be h(1). Let d = -5 - c. Suppose 2*r + q - 11 = 0, q + 2*q + 23 = r. What is the remainder when d is divided by r?
6
Suppose 7*n = n + 204. What is the remainder when 98 is divided by n?
30
Let f = 0 - -4. What is the remainder when (-6*(-12)/(-16))/((-1)/2) is divided by f?
1
Let c(l) = l + 10. Let k be 2 - 5/(15/6). Let i = -7 - -25. What is the remainder when i is divided by c(k)?
8
Suppose 3*w = -20 - 4. Let f(m) = -2*m - 7. Suppose 0 = -6*q + 2*q + 100. What is the remainder when q is divided by f(w)?
7
Let n(a) be the second derivative of a**3/6 - 3*a**2/2 + 3*a. Let o be n(9). What is the remainder when 40 is divided by (-16)/o*(-63)/12?
12
Let r(w) = -w**3 + 6*w**2 + 9*w - 1. What is the remainder when 62 is divided by r(7)?
10
Let j be (-4)/(-3 - 1) - -4. Suppose 6*c - 37 = j*c. Calculate the remainder when c is divided by 10.
7
Let m = -9 - -9. Suppose -g + 9 = -m. Calculate the remainder when g is divided by 2.
1
Let w(a) = a**2 - 5*a - 7. Let o be w(6). What is the remainder when 35 is divided by ((-18)/(-4))/(o/(-2))?
8
Suppose 31 = 3*o - 5*s, -o - 2*s + 11 = -3. Calculate the remainder when 35 is divided by o.
11
Let r = 13 - 27. Calculate the remainder when 27 is divided by 3*r/9*-3.
13
Let b be 3/(-4)*(19 + -15). Let o(k) = k + 4. Let a be o(3). Let p = b + a. What is the remainder when 10 is divided by p?
2
Suppose 2*h + h = 0. Suppose h = -4*a + g + 4, 4*a + 3*g + 6 = -6. Suppose -p + 5 = -a. What is the remainder when 9 is divided by p?
4
Let h = -15 - -34. Suppose o = -4*o. Suppose o = -5*g - 59 + 334. Calculate the remainder when g is divided by h.
17
Let r = 6 + -4. Suppose r*a = -a + 9. Calculate the remainder when 8 is divided by a.
2
Let x(w) = -w**3 - 5*w**2 - 2*w + 1. Let v be x(-5). Suppose 0 = -a + 9 + v. Suppose -2*z = -17 - 5. Calculate the remainder when a is divided by z.
9
Let v = 33 + 117. Let c = v - 84. Calculate the remainder when c is divided by 17.
15
Let z(v) = 26*v - 3. What is the remainder when z(1) is divided by 6?
5
Let k = -8 + 11. Suppose -1 = -k*j + 2*n, 5*n = j - 6*j + 35. What is the remainder when j is divided by 2?
1
Let r = 0 + 6. What is the remainder when r*(10/6 + 2) is divided by 6?
4
Let f = -123 + 214. Calculate the remainder when f is divided by 19.
15
Suppose 0 = -3*k + i + 7, 7 = -2*k + 3*i - 0. Suppose w - k = -w. What is the remainder when 5 is divided by 6/(1 + w) + 0?
1
Suppose -j + 2*v = -98, 4*v + 178 = 3*j - 120. Calculate the remainder when j is divided by 27.
21
Let k = 95 - 70. Calculate the remainder when k is divided by 10.
5
Calculate the remainder when 2/(-4) + 13/2 is divided by 4.
2
Let c(g) = -22*g - 16. Let b(q) = -7*q - 5. Let p(f) = -7*b(f) + 2*c(f). Let l = -41 + 53. What is the remainder when p(4) is divided by l?
11
Let r = -49 + 104. Calculate the remainder when r is divided by 28.
27
Suppose -4*y = -13 - 3. Suppose 2*g = 2*i + 4, -5*g = y*i - g - 8. Suppose t + i*t - r - 60 = 0, -4*r - 4 = 0. Calculate the remainder when t is divided by 20.
19
Suppose -4*f + 5*f - 11 = 0. Suppose 0 = -3*d - 2*d. Suppose -v = -d - f. What is the remainder when 41 is divided by v?
8
Calculate the remainder when 50 is divided by 6/(-8) + 71/4.
16
Suppose -3*i + 6*i - 168 = 0. Let v be ((-6)/8)/((-2)/i). Let l = 39 - v. Calculate the remainder when 35 is divided by l.
17
Let p = -187 + 304. What is the remainder when p is divided by 40?
37
Let j(l) = -20*l**3 - l**2 + l + 1. Calculate the remainder when 75 is divided by j(-1).
18
Let s(t) = t**3 + 2*t**2 + t - 1. Let d be s(2). Suppose -3*p - 4*r + 34 = 0, -2*r - d - 11 = -p. What is the remainder when 69 is divided by p?
15
Let k = 77 - 45. Suppose -3*w - 2*w = 0. Suppose -f - 7 + 18 = w. What is the remainder when k is divided by f?
10
Let t(k) = k - 2. Let x be t(6). Suppose 5*w - p = 5, 2*w - 3*w + 10 = -2*p. Let n = x - w. Calculate the remainder when n is divided by 3.
1
Let n = 3 + 6. What is the remainder when 5 is divided by ((-2)/(-6))/(1/n)?
2
Let j(q) = q**3 + 5*q**2 - q + 7. Let z be j(-5). Suppose 0*o - z = -4*a + 4*o, -3*a + 14 = 2*o. What is the remainder when 7 is divided by a?
3
Let h(p) = -6*p**2 - 2*p + 1. Let l(s) = -s**2 - s. Let y(r) = -h(r) + 2*l(r). Let v be y(-1). Calculate the remainder when 7 is divided by ((-6)/4)/(v/(-8)).
3
Let n = 56 - 36. Let z(g) = -g**2 + 6*g - 5. Let j be z(4). Suppose d + j*d = 44. What is the remainder when n is divided by d?
9
Let i(b) = -b**2 - 23*b + 18. Calculate the remainder when i(-11) is divided by 38.
36
Suppose 0 = -5*d + d + 52. Let f(r) 