 4. Calculate the remainder when i(-4) is divided by 2.
0
Suppose -u - 10 = -0*y - y, 0 = 5*y - 2*u - 53. Calculate the remainder when 43 is divided by y.
10
Suppose 5*p - 80 = 20. Suppose -p = 2*m - 5*f, 4*m - 20 = -3*f - 2*f. Suppose x - 4 = -m*x. Calculate the remainder when x is divided by 2.
0
Let a(k) = k**3 + k**2 + k + 12. What is the remainder when 35 is divided by a(0)?
11
Suppose r = -4*d + 58, 7*r - 4*r - 4*d = 94. What is the remainder when r is divided by 10?
8
Let i(r) = r**3 - 7*r**2 + r - 1. Let x be i(7). Suppose j + o = 28, -j = -x*j + 5*o + 130. Calculate the remainder when j is divided by 14.
13
Let p = 31 + 16. Calculate the remainder when p is divided by 13.
8
Suppose -32*y + 810 = -26*y. What is the remainder when y is divided by 20?
15
Let k be (1*6)/(-3) + -2. Let z be (k + 1)*4/(-6). Suppose -q + 10 = -0*q - 2*l, z*l - 22 = -3*q. Calculate the remainder when 23 is divided by q.
7
Let q = 25 + -21. Suppose -5*a + q*a = -61. What is the remainder when a is divided by 16?
13
Suppose -4*n + v + 97 = -0*v, -n + 28 = v. Suppose -3*g = r - n - 9, r - 40 = 3*g. Calculate the remainder when r is divided by 13.
11
Let o(s) = 28*s + 1. Let a be o(2). Suppose -5*j + 131 = 2*z - z, 0 = -2*j - 5*z + a. Calculate the remainder when 76 is divided by j.
24
Let i = 2 - 0. Suppose i*r + 0 = 38. What is the remainder when r is divided by 1/1 - (-6 + 0)?
5
Let p(m) = 2*m**2 + 9*m + 6. Suppose 5*f = 109 - 44. Calculate the remainder when p(-6) is divided by f.
11
Suppose 3*t = 10 + 5. Suppose -t*u = -10, 0 = -2*c + 6*c - u - 182. What is the remainder when c is divided by (6/12)/((-1)/(-24))?
10
Let r(l) = 47*l - 1. What is the remainder when r(1) is divided by 4/((5/1)/20)?
14
Suppose 2*z - 7 = 7. Let a = -24 + 45. Let t = a - z. Calculate the remainder when t is divided by 8.
6
Let r(y) = 34*y**2 - 1. What is the remainder when r(1) is divided by 17?
16
Let z = -12 - -3. Let y be 3/(-1 - z/6). Suppose 4*a = 2*a + y. Calculate the remainder when a is divided by 2.
1
Let o(w) = -3 + 2 - 4*w - w. Let s be o(-4). Let i = -7 + s. What is the remainder when 35 is divided by i?
11
Let n = -17 + 23. What is the remainder when 16 is divided by n?
4
Suppose 95 = -23*z + 28*z. Calculate the remainder when 15*3/((-18)/(-14)) is divided by z.
16
Let q(a) = a**2 - 2*a - 3. Let l be q(5). Let u = l + -6. Let o(c) = 3*c**2 + 4*c - 3. Calculate the remainder when o(2) is divided by u.
5
What is the remainder when 154 is divided by 11 - 12 - (-28)/(3 + -1)?
11
Let b(o) = 2*o**2 - 2*o - 5. Let k = -3 - -8. What is the remainder when b(4) is divided by k?
4
Suppose u - 2 = 35. What is the remainder when u is divided by 19?
18
Suppose -3*k + 12 = -0*k. Let f = 75 + -71. Calculate the remainder when f is divided by k.
0
Let m be (-366)/15 + (-6)/10. Let o = 49 + m. What is the remainder when 46 is divided by o?
22
Suppose 8*l + 40 = 3*l. Suppose -q + 28 = q. Let y = q + l. Calculate the remainder when 16 is divided by y.
4
Suppose p - 2*p = 0. Suppose p = -a - 9 + 26. What is the remainder when a is divided by 5?
2
Suppose -z - 3*u = -29, 0 = 5*z - 3*z - 4*u - 48. Suppose 0*r - 56 = -4*r. Calculate the remainder when z is divided by r.
12
Suppose 2*k - 14 = 2. Suppose -k*o + 45 = -5*o. Calculate the remainder when 26 is divided by o.
11
Suppose -3*h - 36 = -3*t, 3*h + 8 = -t - 0*h. What is the remainder when 20 is divided by t?
6
What is the remainder when 16 is divided by 22/4 + (-2)/(-4)?
4
Let x(c) = -c**2 - c + 4. Let j be x(0). Suppose 0 = r + r - 2*t - j, 5*t - 18 = -2*r. Suppose 0 = -o + r + 8. Calculate the remainder when o is divided by 7.
5
Let h(s) = s**3 - 18*s**2 - 17*s - 30. What is the remainder when h(19) is divided by 3?
2
What is the remainder when (-832)/(-10) + (-3)/15 is divided by 17?
15
Let p = 190 + -175. Calculate the remainder when 71 is divided by p.
11
Suppose -11 = -9*h + 16. Suppose -c - 3*i = 4, -4 = 5*c + 3*i - 20. Calculate the remainder when c is divided by h.
2
Let j = -12 - -6. Let f(s) = s - 1. Let r(v) = 9. Let b(o) = -4*f(o) - r(o). Calculate the remainder when 36 is divided by b(j).
17
Suppose 0 = -3*w - 2 + 125. Calculate the remainder when w is divided by 21.
20
Let d be -1 - (-3 - (-2)/1). Suppose 4*z - z = d. Let t = z - -1. What is the remainder when 1 is divided by t?
0
Let i = 35 - 12. What is the remainder when i is divided by 5?
3
Let d(v) = v**2 - 2*v - 38. What is the remainder when 47 is divided by d(9)?
22
Let j = -1 - -5. Suppose 4*w - 5*o - 30 = -w, 32 = 5*w - j*o. Calculate the remainder when 21 is divided by w.
5
Suppose -n - 46 = -5*p, 0*p + 4*p = 3*n + 28. Calculate the remainder when 36 is divided by p.
6
What is the remainder when 9 is divided by 4 + ((-2)/(-3))/(12/18)?
4
Let v = 16 + 0. What is the remainder when v is divided by 10?
6
Let d(z) = z**3 + 8. Let x be d(0). Suppose -x - 22 = -3*y. What is the remainder when y is divided by 6?
4
Suppose -2*a - 10*a = -156. Calculate the remainder when 36 is divided by a.
10
Suppose -5*g + 75 - 5 = 0. Let x(q) = -56*q**2. Let c be x(-1). What is the remainder when g is divided by c/(-12) - 1/(-3)?
4
Let a(f) = 2*f**2 + 2*f - 4. Calculate the remainder when a(-6) is divided by 12.
8
Suppose -4*n = -462 + 150. What is the remainder when n is divided by 20?
18
Suppose 5*c - 64 = c. Let z(h) = -4*h - 14. What is the remainder when z(-19) is divided by c?
14
Let t(f) = 10 - 6*f + 3*f + 3*f - f. Calculate the remainder when 18 is divided by t(0).
8
Let a = -3 - -2. Suppose s = 4 - 5. What is the remainder when s - (6/a - 2) is divided by 4?
3
Suppose 0 = 2*k - 6, 2*k + 1 = -5*q + 2. Let j(m) = -36*m**3 + m**2 + 2*m + 1. Calculate the remainder when 69 is divided by j(q).
33
Suppose 2*a + 2*t = 16, 4*t = 4*a - 0*t - 40. Suppose 5*d - 25 + 0 = 0. Calculate the remainder when a is divided by d.
4
Let c be (7/3)/(3/27). What is the remainder when (-8)/(-16) + c/2 is divided by 3?
2
Let n = 13 - 2. Suppose 3*u + 8 + 7 = 0. What is the remainder when (-2028)/(-65) + 1/u is divided by n?
9
Let b be (-270)/(-24) + 1/(-4). Suppose 5*p = i + 110, -5*p + b = -4*i - 114. Calculate the remainder when p is divided by 11.
10
Let b = 14 - 3. Let c(f) = 5*f - 4. Suppose 5*d = 2*d + 6, 5*y + 2*d = 39. What is the remainder when c(y) is divided by b?
9
Let q(c) be the second derivative of -c**5/20 + 5*c**4/12 - c**3/2 + c**2/2 - c. Let d be 115/35 - 4/14. What is the remainder when 28 is divided by q(d)?
8
Suppose -5*t + 3*p + 73 = 0, -29 = -4*t + 4*p + 23. Let r = 31 - -18. What is the remainder when r is divided by t?
15
Suppose 0 = 6*d - 5*d - 57. What is the remainder when d is divided by 15?
12
Suppose 3*c - 2*c - 14 = -2*h, 6 = -3*h. Calculate the remainder when 33 is divided by c.
15
Calculate the remainder when (-3 - -11) + (2 - 1) is divided by 4.
1
Suppose -4*z + 2*z = -10. Suppose z*x = 5*b - 15, -3*x = -2*b + x + 4. What is the remainder when 10 is divided by b?
2
What is the remainder when (-3)/5 - 264/(-15) is divided by 5?
2
Let n be ((-2)/(-3))/(1/3). Let l = 265 + -180. Suppose -l = n*g - 7*g. What is the remainder when g is divided by 9?
8
Suppose -2*i + 3*f = i - 141, 0 = -i + 5*f + 51. What is the remainder when i is divided by 13?
7
Let j(t) = t - 2*t + 8*t - 6*t + 17. Let u(g) = g - 6. Let m be u(6). What is the remainder when j(m) is divided by 9?
8
Let s(y) = -42*y + 1. Calculate the remainder when s(-2) is divided by 22.
19
Suppose 0 = -h - 4*h - 10, 3*h = 4*c + 106. Let r = c + 58. Calculate the remainder when r is divided by 16.
14
Suppose -143 - 31 = -2*r. Calculate the remainder when r is divided by 23.
18
Suppose 5*m - i = 30, 3*i = 5*m - i - 45. Let o = -3 + m. Suppose -3*w - 2*w = 4*q - 24, 2*w - 11 = -3*q. Calculate the remainder when o is divided by q.
0
Let n(f) = -f**2 + 4*f + 4. Let b be n(4). Suppose -t + 32 = b*m, -t - 3*t = -4*m + 32. What is the remainder when 15 is divided by m?
7
Suppose -5*x + 140 = -35. What is the remainder when 67 is divided by x?
32
Let j = -15 + 26. Calculate the remainder when 17 is divided by j.
6
Let s be (1 - (0 + -2)) + 0. Suppose 3*c + y - 5 - 4 = 0, s*c - 9 = 3*y. What is the remainder when 10 is divided by c?
1
Let k(l) = -3*l + 2. Suppose 14 = 4*a - 5*t, 6*a + t = 10*a - 22. What is the remainder w