p) be the second derivative of -p**3/3 - 6*p**2 - p. Suppose 0 = -w - 0 - 8. What is the remainder when 7 is divided by i(w)?
3
Let i(y) = -2*y - 16. What is the remainder when 9 is divided by i(-11)?
3
Suppose -2*b + 2*c + 76 = 0, -4*b + 34 = -2*c - 114. Calculate the remainder when b is divided by 14.
8
Suppose 3*o = 3*i + 39, -5*o + 5 + 69 = 4*i. Suppose -o = -3*p - 5. Let d = 17 + -15. Calculate the remainder when p is divided by d.
1
Suppose 0 = 2*j + 3 - 1, -4*o + 31 = 5*j. Calculate the remainder when 23 is divided by o.
5
Let l(q) = -3*q + 50. What is the remainder when l(10) is divided by 9?
2
Suppose i + 6 = 3*i. Suppose 5*q - 4*f = 44, -i*q - 4*f = -5*q + 20. Suppose 0 = -q*s + 3*s + 125. What is the remainder when s is divided by 13?
12
Let r = 13 + -29. Let i = r + 28. What is the remainder when i is divided by 8?
4
Let l(i) = -2*i**3 - 2*i + 1. Let p be l(1). Let t = -1 + 6. What is the remainder when 28 is divided by p + t - 26/(-2)?
13
Suppose 4*k - 4*h - 16 = 0, -2*k - k - 3*h - 6 = 0. Let o = k - 7. What is the remainder when 41 is divided by o/2 + 14 + 0?
8
Suppose 5*p + 6*g - 2*g + 135 = 0, 3*g = 4*p + 108. Let r = p - -42. What is the remainder when 59 is divided by r?
14
Suppose -5*d = -4*k - 67, -3*d + 2*d - 4*k = -23. Calculate the remainder when 73 is divided by d.
13
Let c = 104 - 95. Calculate the remainder when c is divided by 4.
1
Suppose -c = -3*b - 25, 5*c - 91 = 3*b - 5*b. Suppose -28*d = -31*d + 30. What is the remainder when c is divided by d?
9
Suppose -5*h = -59 - 26. Suppose -14*z = -140 + 14. What is the remainder when h is divided by z?
8
Suppose -p + 72 = p. Suppose -3*w + 65 = 2*w. Calculate the remainder when p is divided by w.
10
Suppose -71 + 18 = -5*u - 2*r, 4*u + r = 40. Calculate the remainder when u is divided by 2.
1
Let d = 13 - 1. What is the remainder when 46 is divided by d?
10
Let y(i) = i**2 + 3*i - 4. What is the remainder when 17 is divided by y(-5)?
5
Let u(x) = x**3 + x**2 - x - 13. Let i(h) = -2*h**3 - h**2 + 2*h + 12. Let t(p) = -2*i(p) - 3*u(p). Calculate the remainder when t(0) is divided by 8.
7
Let m(c) = -14*c - 2. What is the remainder when m(-2) is divided by 16?
10
Let z = 12 - 28. Suppose 101 = 4*h - 119. What is the remainder when h/(-2)*z/20 is divided by 8?
6
Suppose 0 = -3*x + 6 + 18. Let g be (-6)/10*(-35)/7. Suppose -2*z - 2*b = -66, -5*z = g*b - 158 - 3. What is the remainder when z is divided by x?
7
What is the remainder when 64 is divided by ((-190)/20)/((-2)/4)?
7
Let g = 72 + 13. What is the remainder when g is divided by 30?
25
Suppose 38*r - 40*r + 72 = 0. What is the remainder when 70 is divided by r?
34
Suppose 4*g = -63 + 391. What is the remainder when g is divided by ((-15)/10)/3*-42?
19
Let k(t) = t**2 - 8*t + 13. What is the remainder when 64 is divided by k(9)?
20
Calculate the remainder when 59 is divided by (-448)/140*1*-5.
11
Suppose 5*r - 9*r = -16. Suppose 4*n = 5*u + 47, 2*n - r*u - 28 = -0*n. Calculate the remainder when 38 is divided by n.
6
Suppose 17*l - 117 = 8*l. Calculate the remainder when -1 + 2 + -2 - -38 is divided by l.
11
Let h(t) = t**2 - 9*t + 3. Let x be h(9). Let u(y) = 6*y**2 + 3. What is the remainder when u(x) is divided by 20?
17
Suppose -2*s + 7*s - 5 = 0. Let x = -2 + 3. Calculate the remainder when 2 - (1 - x)/2 is divided by s.
0
Suppose 214 + 198 = 2*l. Suppose 9*w - l = 4*w + 3*f, -4*w - 5*f = -150. Calculate the remainder when w is divided by 14.
12
Let y = 65 + -27. Let f(j) = 14*j**2 - j. What is the remainder when y is divided by f(1)?
12
Suppose 0 + 18 = 3*b. Suppose b*s = 3*s + 51. Calculate the remainder when 33 is divided by s.
16
Suppose -h = -4*p + 5*p - 21, -3*h = 2*p - 43. What is the remainder when 119 is divided by p?
19
Let u = 53 - 25. Calculate the remainder when 50 is divided by u.
22
Let r be ((-1)/(-1) - 2)/(-1). Let z be (r*-1)/(4/24). Let o = z + 19. What is the remainder when 37 is divided by o?
11
Let m = -2 - -7. Suppose -f = -v - 2, m*f + 2*v + 3*v = 30. What is the remainder when -3*(6/(-2) + 1) is divided by f?
2
Let j be 46/((-4 + 2)*-1). Let n(p) = -3*p. Let y be n(-4). Let g = j - y. What is the remainder when 21 is divided by g?
10
Suppose 55 = 4*n + n. Let l(i) = -i - 5. Let c be l(-8). Let u(z) = z**3 - 2*z - 1. Calculate the remainder when u(c) is divided by n.
9
Suppose 2*r - 4 = -2*r. What is the remainder when 23 is divided by (1 + r + -3)*-12?
11
Let d = 50 - -64. What is the remainder when d is divided by 29?
27
Suppose f = 7 + 8. What is the remainder when f is divided by 8?
7
Let s(o) = -o - 1. Let a be s(-3). Suppose -57 = -f - a*f. What is the remainder when 10/(-6)*11*-3 is divided by f?
17
Let f(q) = q**3 - 9*q**2 + 9*q + 9. Suppose -m + y = -4 - 5, -13 = -2*m - 3*y. What is the remainder when f(m) is divided by 6?
5
Suppose -4*v - 16 = u, u - 2*u + 2*v = -8. Suppose 3*a + 2*z = -u*z + 30, -25 = -2*a - 3*z. What is the remainder when a is divided by 4?
0
Suppose -96 - 68 = -4*n. Let u(h) = h - 2 - 2 + 0 - 3*h. What is the remainder when n is divided by u(-9)?
13
Let p = -10 - -17. Calculate the remainder when 19 is divided by p.
5
Suppose 4*d = 5*o - 3*o, -o + 12 = 4*d. Suppose 0 = 4*h - d*u - 104, 2*h + 9 = -5*u + 49. Calculate the remainder when h is divided by 7.
4
Suppose 7*s - 2*s - 120 = 0. Suppose 0 = 3*v - 0 - s. Let w(z) = -9*z - 4. What is the remainder when w(-3) is divided by v?
7
Let o(c) = c**3 + 19*c**2 - 21*c - 12. What is the remainder when o(-20) is divided by 6?
2
Suppose s = -5*o + 68 + 8, 3*o = s + 44. What is the remainder when o is divided by 5?
0
Let z = -7 - -11. Suppose 3*a - 37 = -b - 12, b = -z*a + 32. What is the remainder when 20 is divided by a?
6
Suppose -51 = -4*o + 41. Let g be (-50)/2*1 - 0. Calculate the remainder when o is divided by g/(-2) - 1/2.
11
Suppose 1 + 27 = 2*q. Suppose 13 = 4*h - 87. Calculate the remainder when h is divided by q.
11
Let l(q) = 4 + q**3 + 11*q**2 + 3 + 24*q - 43*q + 28*q. Let b(w) = w**3 - 4*w**2 - 1. Let f be b(3). What is the remainder when 49 is divided by l(f)?
15
Let z(t) be the third derivative of t**4/24 + 7*t**3/6 + 4*t**2. What is the remainder when z(9) is divided by 9?
7
Suppose 0*h = -3*h + 3, 29 = 4*m + 5*h. Let o = m - -3. Suppose -g = -j + 25, -50 = -5*j + 3*j - 3*g. Calculate the remainder when j is divided by o.
7
Suppose 117 = 12*m - 3. Calculate the remainder when 57 is divided by m.
7
Let p = -15 + 47. Calculate the remainder when p is divided by 6.
2
Calculate the remainder when (-4)/12*-3*19 is divided by 12*1 - (3 - 2).
8
Let k = 118 - 114. Let v(h) = -12*h - 1. Calculate the remainder when v(-1) is divided by k.
3
Suppose 2*o = 40 + 16. What is the remainder when o is divided by 15?
13
What is the remainder when ((-7)/(-21))/((-2)/(-828)) is divided by 14?
12
Let z = 5 + 7. Suppose -4*n + 14 = -3*y, 3*n + 0*y - 17 = -y. Calculate the remainder when z is divided by n.
2
Suppose v + 3 = 6. Let w = v - -1. Calculate the remainder when w is divided by 2.
0
Suppose 4*p - 254 = -3*v + 110, -2*p + 192 = -v. What is the remainder when p is divided by 19?
18
Let m(b) = -b**3 - 4*b**2 - 6*b - 6. What is the remainder when m(-4) is divided by 10?
8
Suppose 2*d + 5*k - 24 = 0, -2*d - 10 = -d - 3*k. Let v be (0 - 1)/(d/74). Let q = 69 + v. Calculate the remainder when q is divided by 11.
10
Let t(r) = -6*r - 18. What is the remainder when t(-16) is divided by 20?
18
Let n be (-108)/30 - 4/10. Let p(v) be the third derivative of v**5/30 - v**4/8 + v**3/6 - v**2. Calculate the remainder when p(n) is divided by 16.
13
Suppose -3*p + 2*t + 86 = 0, -p - 8 = 4*t - 60. Suppose 0 = 3*x - 0*x - 2*u - 176, u = -x + 67. Calculate the remainder when x is divided by p.
30
Let q = -21 + 3. Let j = 32 + q. Calculate the remainder when 27 is divided by j.
13
Let c(v) be the first derivative of v**2/2 - 2. Let o be c(1). What is the remainder when 1 - (1 + -30 + o) is divided by 10?
9
Let l = -4 - -19. Calculate the remainder when l is divided by 8.
7
Suppose 5*w + 7 = 32. Let u = 77 + -60. Calculate the remainder when u is divided by w.
2
Suppose 6*m - 8 = 2*m. Calculate the remainder when 7 is divided by m.
1
Suppose -a = a - 470. Suppose -5*m = -10 - a. What is the remainder when m is divided by 17?
15
Suppose