 the remainder when 4 is divided by l(0).
1
Suppose 182 = 5*c + 4*i, 3*c - 133 = -c + i. Calculate the remainder when c is divided by 12.
10
Let i = 89 - 69. Calculate the remainder when 97 is divided by i.
17
Calculate the remainder when 20 is divided by (16/(-10))/((-3)/15).
4
Let h(a) = -a**3 - a**2 + a - 2. Let y be h(-2). Let j = y - -4. Calculate the remainder when j is divided by 2.
0
Let x = 1 - -3. Let o(i) = -2*i - 12. Let y be o(-7). Suppose -34 = -y*w + 5*s, 2*s = 5*w - 46 + 3. What is the remainder when w is divided by x?
3
Let c = 8 + -10. Let r(u) = -13*u - 1. Calculate the remainder when r(c) is divided by 9.
7
Suppose -7 = -2*w + 1. Let p be (4/6)/(w/54). Let r = p - 2. Calculate the remainder when 20 is divided by r.
6
Suppose 0 = 9*n - 6*n - 27. Calculate the remainder when 47 is divided by n.
2
Let w = -3 + 7. Let z(x) = -3*x - 6. Let q(i) = 9*i + 17. Let d(f) = 4*q(f) + 11*z(f). Calculate the remainder when d(w) is divided by 8.
6
Let f(w) = 3*w**2 + 5*w + 3. Let q be f(-3). Let l = 55 - q. Let n = 5 + 9. Calculate the remainder when l is divided by n.
12
Suppose -11 = -5*c + 14. Suppose 0 = -d + g + 3, -3*g + 7 = 16. Suppose -10 = -4*p + 2*r, -r = -p - d*r + 2. Calculate the remainder when c is divided by p.
2
Let s = 82 - 9. What is the remainder when s is divided by (-2)/(-7) + 103/7?
13
What is the remainder when 63 is divided by (-22 + 0)*1/(-2)?
8
Let a = -12 + 14. Suppose 66 = a*r + r. What is the remainder when r is divided by 12?
10
Let d be (-2)/2*8/(-2). Suppose -d*x + 95 = x. Suppose 5 = -i + 2*i. Calculate the remainder when x is divided by i.
4
Calculate the remainder when (-4)/(-22) - (-6584)/88 is divided by 19.
18
Suppose 74 = 2*k + 24. Calculate the remainder when 48 is divided by k.
23
Suppose 26 - 1 = 5*o. Let m(g) = g**3 - 6*g**2 + 8*g - 3. Suppose 3*c + 4 = x, 3*x - 2*x = -c + 8. Calculate the remainder when m(o) is divided by x.
5
Let d(y) be the first derivative of -2*y**2 - 15*y + 2. What is the remainder when d(-13) is divided by 10?
7
Suppose 6 = 3*o, -6*j + 5*o + 23 = -3*j. What is the remainder when 42 is divided by j?
9
Suppose 3*c - 2 = -c + 3*p, -p = -2*c + 2. Suppose -c*g + 21 = -5*s, 0 = 5*g - s - 11 - 7. Let d = 19 + g. What is the remainder when d is divided by 12?
10
Suppose -4*t + 38 = 2*n - 2*t, 2*n + 3*t = 42. Let v = 64 + -22. Calculate the remainder when v is divided by n.
12
Let a(o) = o**3 - 12*o**2 + 16*o + 3. Let x be a(11). Calculate the remainder when 38 is divided by x/6 - (-5)/15.
8
Let d = -4 + 29. Let p = d + -16. What is the remainder when 17 is divided by p?
8
Suppose 3*y = 6, -21 = -2*w - 2*y + 11. Suppose w = 3*k - 19. Calculate the remainder when 21 is divided by k.
10
Let s(l) = -l - 1. Let z(o) = 3 - 1 - 1 + 17*o**2 - o. What is the remainder when z(1) is divided by s(-7)?
5
Let h = -3 + 5. Suppose j - h*j = -12. What is the remainder when 35 is divided by j?
11
Let n = 28 + -15. Suppose -4*k = f - 25, -2*f + 4*k + 125 = 3*f. Calculate the remainder when f is divided by (-1 + 1 - n)*-1.
12
Suppose i + 0 = 3, 2*f = -3*i + 59. Let r = 3 + f. Let z(n) = n + 7. What is the remainder when r is divided by z(8)?
13
Let p(v) = v**3 - 4*v**2 + 2*v + 1. Let x be p(2). What is the remainder when 61 is divided by (x/(-5))/(7/245)?
19
Let u be (-2 - 15/(-6))*-8. Calculate the remainder when 5/((-2)/(-12 + 2)) is divided by (-2 + (-14)/u)*6.
7
Let m = -5 - -15. Let z = m - -9. What is the remainder when 36 is divided by z?
17
Suppose 25 = -2*c + 3*c. Suppose 0 = o - 5 - c. What is the remainder when o is divided by 8?
6
Suppose -j = -1 - 27. Calculate the remainder when 108 is divided by j.
24
Let p(l) = -2*l**3 - 2*l**2 - 2*l - 2. Let b(a) = a**2 - a - 1. Let z(k) = -b(k) + p(k). Calculate the remainder when z(-2) is divided by 4.
1
Suppose -3*w + w = 0. Suppose w*u = -4*u + 4. Suppose 3*q - 2 = q. Calculate the remainder when u is divided by q.
0
Let h = 9 + 4. Calculate the remainder when (-1 + 3)/((-1)/(-19)) is divided by h.
12
Suppose -2*j + 8 = -0*j. Calculate the remainder when 10 is divided by j.
2
Suppose 269 - 104 = 5*u. Calculate the remainder when u is divided by 9.
6
What is the remainder when (-2)/1 - (-42 - (-6 + 3)) is divided by 11?
4
Suppose -5*g + 81 = -19. Suppose 79*i - 114 = 76*i. What is the remainder when i is divided by g?
18
Let i be 24/(-9)*(-54)/8. Let o(z) = 21*z + 1. What is the remainder when o(2) is divided by (i/4 - 2)*6?
13
Calculate the remainder when 20 is divided by (-884)/(-143) + 4/(-22).
2
Let r(s) = s**3 + 19*s**2 - 23*s - 23. Calculate the remainder when 107 is divided by r(-20).
33
Let i = 3 + 24. Suppose 4*b + k - 40 = -1, 5*b - 48 = -2*k. Calculate the remainder when i is divided by b.
7
Suppose 6 = 11*h - 60. What is the remainder when 59 is divided by h?
5
Suppose -4*f = -2*h + 46, 0 = 4*h - f - 3*f - 108. What is the remainder when h is divided by (2/(-9)*-24)/((-10)/(-15))?
7
Let n = -5 + 21. What is the remainder when 61 is divided by n?
13
Let u be 0 + (-4 - -2 - -7). Let w(d) = d**3 - 3*d**2 + 2*d - 6. Let m be w(u). Suppose n = -2*n + m. Calculate the remainder when 52 is divided by n.
16
Suppose 18 = 3*g + 5*n - 1, 4*g + 2*n - 44 = 0. Suppose -4*w - 8 = 0, 4*o = -w - 24 - 6. Let u = 45 + o. What is the remainder when u is divided by g?
12
Let q be 164/6 + (-6)/(-9). What is the remainder when 2/6 + q/6 is divided by (-3)/(-2)*1*2?
2
Let s(g) = 5*g**2 - g - 8. Calculate the remainder when 138 is divided by s(-2).
12
Let d = -4 - -23. What is the remainder when 37 is divided by d?
18
What is the remainder when 38/6*(-3)/(-2)*6 is divided by 15?
12
Suppose 2*g + g - 201 = 0. Let b = g - 27. What is the remainder when b is divided by 14?
12
Suppose -201 = -d - 2*d. Calculate the remainder when d is divided by 23.
21
Let u(c) = c**3 - c**2 + 2*c - 2. Let h be u(2). What is the remainder when 7 is divided by (8/h)/(1/3)?
3
Suppose -2*b + 0*b + 4 = 0. Suppose b*x - 12 = x. Calculate the remainder when 33 is divided by x.
9
Let z(a) = -5*a + 15. Calculate the remainder when z(-14) is divided by 25.
10
Suppose 3*f + 3*n - 39 = -n, -5*n = -3*f + 66. Let d = -24 + 30. What is the remainder when f is divided by d?
5
Let o(x) = x**2 - 3*x - 10. Let s be o(-7). Suppose 4*y + 3*q - 40 = -0*q, 4*y - s = 2*q. What is the remainder when 37 is divided by y?
11
Let s be 2 - (2 - 3 - -1). Suppose 4 + 42 = s*k. What is the remainder when k is divided by 6?
5
Suppose -10*i + 290 = -530. Calculate the remainder when i is divided by 21.
19
Suppose 0 = 3*d - 103 + 286. Suppose -l + 24 + 76 = 0. Let s = d + l. Calculate the remainder when s is divided by 20.
19
Let v(m) = -8*m**2 - 3*m + m**3 + 4*m**2 + 0*m**3. Suppose 25 = t - 3. What is the remainder when t is divided by v(5)?
8
Suppose 0 = f + 4, -6*v = -2*v + 5*f + 260. Suppose -5*c = -0*c - 30. What is the remainder when ((-3)/6)/(3/v) is divided by c?
4
Let x(h) = -2*h**3 - 7*h**2 + 2. Let y(l) = l**3 + l - 4. What is the remainder when x(-5) is divided by y(3)?
25
Let i = 0 - -3. Suppose -4*v + 101 = -i*j, -3*v + 2*v + 54 = 5*j. Calculate the remainder when v is divided by 8.
5
Suppose 4*a - 6 = 54. Calculate the remainder when 57 is divided by a.
12
Let g(v) = 6*v**3 + v**2 + 2*v. Let k be g(2). Suppose p - k = -3*p. Suppose f - 2*f = -8. What is the remainder when p is divided by f?
6
Let a(l) = 4*l**3 + 4*l**2 - 2*l - 1. Suppose -5*j + 5*t = -105, -4*t - 40 = -0*j - 2*j. What is the remainder when a(2) is divided by j?
21
Suppose 0 = -4*h - 5*o - 6, -5*h - 2*o = -h. Let z = 4 + h. Let g(x) = -3*x**3 - 4*x**2 - 3*x. Calculate the remainder when g(-2) is divided by z.
4
Suppose 0 = 4*y + y - 80. Let f be (-21 - -22) + 2*1. Suppose -24 = -f*j + 3. What is the remainder when y is divided by j?
7
Let t(o) = o. Let s be t(5). Suppose -s = -2*p + d, 7 = p - 2*d + 3. Calculate the remainder when 20 is divided by (p/3)/(12/198).
9
Suppose -x = 4*x - 15. Suppose 21 = 3*w + 3*j, 0 = w + x*j - 8 - 1. Calculate the remainder when (11*1)/((-1)/(-1)) is divided by w.
5
Suppose 0 = -q - 0*q + 31. What is the remainder when 60 is divided by q?
29
Suppose 4*u + 4 - 48 = -4*y, 4*u = 2*y - 34. Calculate the remainder when 49 is divided by y.
10
Suppose -5*p + 3*p + 8 = 0. Suppose 0 = -p*h + 23 - 3. Suppose