the remainder when s(1) is divided by c(1).
0
Let q(o) = o**2 + 6*o - 58. What is the remainder when q(8) is divided by 7?
5
Let c be (2 - 1) + 8 - 3. Suppose 4*i = 5*l - 0*i - 27, -3*i + c = 0. What is the remainder when (1/(-2))/((-2)/72) is divided by l?
4
Suppose -2*b + 0*b + r + 36 = 0, -4*r = -2*b + 48. Calculate the remainder when (-18)/(-16) + (-2)/b is divided by 1.
0
Let p(d) = d**3 - 9*d**2 + 8*d - 4. Let w = 2 - -6. Let z be p(w). Calculate the remainder when 40 is divided by z/8 - (-29)/2.
12
Let s = 133 + -95. Calculate the remainder when s is divided by (80/6)/((-10)/(-15)).
18
Let b be 1*(3 + 0 + -1). Let q(v) = 2*v**2 + v - 2. What is the remainder when 22 is divided by q(b)?
6
Suppose -5*b + 89 + 221 = 0. Let x(n) = 10*n**2 + n - 3. Let m be x(-2). Suppose 4*y + m = 99. Calculate the remainder when b is divided by y.
14
Let y be 15 - ((0 - -1) + -4). Suppose -4*u = -4*m + 88, -4*m - 3*u + 77 = -y. What is the remainder when m is divided by 12?
11
Let b(p) = 4*p**2 - 2*p - 1. What is the remainder when b(-1) is divided by 2?
1
Let i(n) = -276*n + 7. Let u be i(-4). What is the remainder when 2/(-9) + u/99 is divided by 6?
5
Suppose 0 = -4*v + 8, -5*k + 50 = 4*v + v. Calculate the remainder when k is divided by 5.
3
Let g = 9 + -7. Suppose 0 = z + g - 6. Suppose -z*l = -3*o + 5*o - 34, l = 3*o + 12. What is the remainder when 17 is divided by l?
8
Suppose 2*b - 2 - 2 = 0. Suppose 7*a + 2*h - 85 = b*a, -2*a + 25 = -h. Calculate the remainder when -1 + 1 + 44 + 0 is divided by a.
14
Suppose 2*u + 53 = -3*t, 5*t + 3*u + 25 + 62 = 0. Let c be (-36)/t + (-4)/10. Calculate the remainder when 50/(2/c) - 1 is divided by 17.
15
Let q(v) = -57*v - 1. Let w be q(-1). Suppose 5*s + 3*y = w, -11 = -2*s - 4*y - y. Calculate the remainder when 37 is divided by s.
11
Let q = 34 - 24. Calculate the remainder when 49 is divided by q.
9
Let q = -6 - -6. Suppose l - 15 = -4*h + 39, q = 2*h + l - 28. What is the remainder when 37 is divided by h?
11
Let u be (2/4)/(3/18). Let l be (-1)/(3/(-11))*u. Let i = 27 - l. What is the remainder when i is divided by 6?
4
Let x(k) = k**3 + 5*k**2 - 5*k + 8. Let v = 1 + -7. Let m be x(v). Calculate the remainder when (2 + 0)*19/m is divided by 10.
9
Suppose 5*s = 3*p + 24, -20 = -3*s + p - 2*p. Calculate the remainder when 15 is divided by s.
3
Let i(y) = -3*y + 4. What is the remainder when i(-16) is divided by 11?
8
Suppose -c - 2*c - 24 = 0. Let m = c - -15. Let v(a) = -11*a - 3. What is the remainder when v(-2) is divided by m?
5
Let k = 8 + 7. Suppose -2*x + 2*m = 0, -4*x = 2*m - 3*m - k. Calculate the remainder when 7 is divided by x.
2
Let z = -15 - -11. Let b(q) = q**2 + 3*q + 1. Calculate the remainder when b(z) is divided by 2.
1
Suppose 0 = -2*j, -5*m - 2*j + 80 = -5*j. Calculate the remainder when 62 is divided by m.
14
Let a be 2/(-4*(-2)/20). Suppose -28 + 8 = -4*o - 3*d, -a*d - 36 = -2*o. Suppose 0 = -4*q + 39 + 49. Calculate the remainder when q is divided by o.
6
Suppose u - 35 = -5*g - 4, 5*u + g - 35 = 0. Suppose -2*z = 0, u*j = j - 2*z + 140. Calculate the remainder when j is divided by 10.
8
Let o = -138 + 161. What is the remainder when 136 is divided by o?
21
Suppose -2*n + 10 = 3*n. Calculate the remainder when -2 + 3 - (n + -8) is divided by 2.
1
Let b be (-4)/10 + 56/(-35). Let a be b/7 - (-148)/28. Suppose 105 + 5 = a*i. What is the remainder when 64 is divided by i?
20
Suppose 2*q = r + 13, r + 9 = 5*q - 22. Calculate the remainder when 10 is divided by q.
4
Let l(b) be the second derivative of -3*b**5/5 - b**4/12 - b**3/6 + b**2/2 + 2*b. What is the remainder when l(-1) is divided by 7?
6
Let n(o) = -53*o + 1. Calculate the remainder when n(-1) is divided by 14.
12
Let m = 0 - 2. Let k be -2*(1 - m/(-4)). Let o(c) = 22*c**2 + c + 1. What is the remainder when o(k) is divided by 8?
6
Suppose 0*a = -a + 9. Calculate the remainder when 44 is divided by a.
8
Suppose -44 = -2*y - 4*k, -32 = -3*y - 3*k + 46. What is the remainder when y is divided by 18?
12
Suppose -4*v = p - 14, -7*v = -2*v + 3*p - 21. Let w = -4 + v. Calculate the remainder when 2 + -4 - w - -32 is divided by 11.
9
Let q = -41 - -141. Let v = 19 - 13. Suppose v*z - q = z. What is the remainder when z is divided by 11?
9
Suppose -2*s + 0 - 30 = -2*k, k = -2*s. Let x be (k/15)/((-4)/6). Calculate the remainder when 8 is divided by (-4)/2 + (x - -6).
2
Suppose -a = 3*j + 4*a - 64, 0 = 4*j - a - 116. What is the remainder when 111 is divided by j?
27
Suppose 5*i = 146 + 159. Suppose 3*n - 23 = -4*o + i, -2*n + 88 = 4*o. Let s = 0 + 70. Calculate the remainder when s is divided by o.
22
Let o be ((-2)/3)/(2/6). Let b be (-6)/(-3) + o + 3. Suppose 4*l - b*g = 11, 0*l - 2*g + 11 = l. What is the remainder when l is divided by 3?
2
Let z = 19 - 7. Let x(j) = j**3 - 5*j**2 - j - 3. Let v be x(6). Let k = v + -4. Calculate the remainder when k is divided by z.
11
Suppose -30 = -2*l - 4*t, -5*l - 5*t + 19 = -31. Calculate the remainder when l is divided by 2.
1
Let v be 3/(-1)*1 - -3. Suppose -3*d - 6 = -3*m + 12, 5*m + d - 30 = v. What is the remainder when 17 is divided by m?
5
Suppose 5*x - 5 - 5 = 0. Let o(k) = 4*k**x - k**2 - 3*k - 4 - k**2. What is the remainder when o(7) is divided by 25?
23
Let b(z) be the second derivative of -z**4/12 + 3*z**3/2 - 9*z**2/2 - z. What is the remainder when 26 is divided by b(6)?
8
Suppose 2*o + 73 = 159. Let b(z) = -z + 1. Let t(p) = -2*p**3 - 5*p**2 + 3*p - 9. Let y(s) = 6*b(s) + t(s). Calculate the remainder when o is divided by y(-3).
13
Let y(g) = g + 16. What is the remainder when 8 is divided by y(-13)?
2
Let t(a) = 6*a + 10. Calculate the remainder when t(6) is divided by 12.
10
Calculate the remainder when 18/(-45) - 412/(-5) is divided by 17.
14
Let s(a) = -a**3 - 4*a**2 - 3*a - 2. Let f be (-18)/5 + 18/(-45). What is the remainder when (4 - 1)/(2/12) is divided by s(f)?
8
Suppose -2*a + 329 = 5*g - 52, 2*g - 2*a - 144 = 0. What is the remainder when g is divided by 19?
18
Let m(c) = -c**2 - 11*c - 3. Calculate the remainder when 20 is divided by m(-10).
6
Let n(x) = x**2 + x. Let p be n(-2). Suppose 5*d - 12 = p*d. What is the remainder when 6 is divided by d?
2
Suppose 4*k - 102 = -3*v, -50 - 58 = -4*v + 4*k. What is the remainder when v is divided by 16?
14
Suppose -v = 5*t - 8*t + 22, -5*t + 3*v = -30. What is the remainder when 106 is divided by t?
7
What is the remainder when 13 - 1 - (2 + -3) is divided by 6?
1
Let v = -90 + 95. Calculate the remainder when 12 is divided by v.
2
Suppose 8 = -4*v + 24. Let c = v + 33. Calculate the remainder when c is divided by (-36)/(-3) + (0 - 2).
7
Suppose -23*l = -25*l + 20. Suppose -2*n - 3 = -7. Let y(p) = 8*p**2 - 4*p + 3. What is the remainder when y(n) is divided by l?
7
Let m(h) = h**2 - 5*h + 0*h + h + 3*h + 70. Calculate the remainder when m(0) is divided by 24.
22
Let z(r) = -2*r + 2. Let b(c) = -c**3 + 6*c**2 - c + 5. Let g be b(6). Calculate the remainder when z(-6) is divided by g + 3 + (-6)/(-2).
4
Let x(g) be the first derivative of g**2/2 - 3*g + 1. Let j be x(4). What is the remainder when j*(25 - 0) - -1 is divided by 14?
12
Suppose -3*m = x - 575, 0 = 5*m - 5*x - 1378 + 453. What is the remainder when m is divided by 48?
46
Let n be (10 + -1)*9 - -1. Suppose -4*r - n = -2*l, 0 = -4*l + r + 198 - 6. Calculate the remainder when l is divided by 17.
15
Calculate the remainder when 59 is divided by (-24)/42 - 510/(-35).
3
Suppose 3*y - o - 4*o - 13 = 0, 0 = -5*y + 2*o + 47. What is the remainder when y is divided by (2 - (-5 - -6)) + 3/1?
3
Let w(n) = 2*n**3 - 3*n**2 - 5*n + 3. Let k be -1 - -1 - -6 - 2. What is the remainder when w(k) is divided by 22?
19
Let p = 8 + 0. What is the remainder when 2 - 44/p*-2 is divided by 4?
1
Let u be 50/15 + (-2)/(-3). Suppose 0 = u*m - 3*x - 27, -4*x - 13 - 4 = m. Suppose -2*k - 7 = -3*k. Calculate the remainder when k is divided by m.
1
Let l be -4*(-4 - 7/2). Let z = 47 - l. What is the remainder when 31 is divided by z?
14
Let r(o) = 2*o - 7. Let c = 17 + 1. Suppose 0 = t - 4*k + 3, -c = -t - t + 2*k. Calculate the remainder when t is divided by r(7).
6
Let j = 6 - -19. Let g = j + 3. Let l = -10 - -20. Calculate the remainder when g is divided by l.
8
Let x(t) = -t**3 - 8*t**2