er when 7 is divided by i(m)?
1
Let n = 0 + 3. Calculate the remainder when ((-34)/6 - n)*-3 is divided by 9.
8
Let g(f) be the second derivative of f**3/6 + 13*f**2/2 - 3*f. Calculate the remainder when g(0) is divided by 4.
1
Let w = -69 + 116. Suppose 1 + 3 = n. Suppose n*z + 9 = 73. Calculate the remainder when w is divided by z.
15
Let q(x) = -10*x - 5. Let j = 4 - 2. Let y be (-2 - 0)/(j/4). What is the remainder when q(y) is divided by 18?
17
Suppose 0 = 2*p - o - 49 + 13, -2*p + 3*o = -28. What is the remainder when p is divided by 7?
6
Suppose 154 = 8*t - 110. Calculate the remainder when t is divided by 13.
7
Let k = 34 - 7. Suppose -5*o + o + 248 = 0. Calculate the remainder when o is divided by 94/6 - (-9)/k.
14
Suppose 3*q = -0*q + 60. Suppose t = 3*t - q. Let a(p) = p**2 + p - 1. What is the remainder when a(-6) is divided by t?
9
Let m be (-2)/(-2) + (1 - 14). Let x = -8 - m. What is the remainder when x is divided by 3?
1
Suppose -4*r + 2*a = -382, 376 = 5*r - r + 4*a. Calculate the remainder when r is divided by 24.
23
Let l = -66 - -99. What is the remainder when 63 is divided by l?
30
Suppose 16 = -g + 5*m, 5*g - 32 = -5*m + 8. What is the remainder when 15 is divided by g?
3
Suppose 7*o = 14*o - 126. Calculate the remainder when (69 - (2 - 1)) + 1 is divided by o.
15
Calculate the remainder when 28 is divided by (8/(-2) - -1) + 26 + -12.
6
Suppose 5*a + 60 - 500 = 0. Let d = a - 51. Let p(b) = 2*b**2 + 6*b - 7. Calculate the remainder when d is divided by p(-5).
11
Let f be 3/(-2) + 83/(-2). Let v = 119 - 52. Let g = v + f. What is the remainder when g is divided by 13?
11
Suppose 15 = 5*j, -6*s - 4*j = -8*s + 44. Calculate the remainder when s is divided by (-87)/(-9) - 2/(-6).
8
Let b(a) = -a**3 + 8*a**2 + 2*a + 24. Calculate the remainder when b(7) is divided by 23.
18
Let o(s) = -s**3 - 12*s**2 - 11*s + 2. Suppose -2*t = -2*a - 0 - 4, 3*a - 5*t = -16. Let l = a - 1. What is the remainder when l is divided by o(-11)?
0
Let t(h) be the third derivative of h**5/30 - h**4/6 + h**3/3 + 8*h**2. Calculate the remainder when t(-6) is divided by 20.
18
Calculate the remainder when (6/(-15))/((-4)/440) is divided by 15.
14
Suppose 8*r = 10*r - 18. What is the remainder when 26 is divided by r?
8
Let s = -49 - -71. Calculate the remainder when 131 is divided by s.
21
Calculate the remainder when 23 is divided by 4 + 3 + 3 + -2.
7
Let v(l) = -13*l + 1. Let g be v(-1). Let f be 3006/g + 8/28. Suppose i + 4*i - f = 0. What is the remainder when i is divided by 15?
13
Suppose -2*j + 105 = 3*j. Let z(o) = o**2 + 5*o - 6. Calculate the remainder when j is divided by z(-7).
5
Let z be 14/(3 + -3 - 2). Let w = -6 - z. Suppose w + 0 = u. What is the remainder when 3 is divided by u?
0
Suppose 4*o + o + 3*a - 76 = 0, 0 = -5*o + 3*a + 94. Calculate the remainder when 17 is divided by o.
0
Suppose 0 = -3*d, -3*d - 12 = -3*r - d. Calculate the remainder when 23 is divided by r.
3
Let g(k) = k + 6. Suppose -60 = -q - 3*y, 0*y + 4*y + 288 = 4*q. Calculate the remainder when q is divided by g(12).
15
Suppose 3*g + 85 = 2*b + 281, -3*b = -g + 70. Let m(l) = -23*l - 1. Calculate the remainder when g is divided by m(-1).
20
Let f(d) = d. Let g(r) = r**2 + 3*r - 1. Let v(i) = 6*f(i) - 2*g(i). Let t be v(2). Calculate the remainder when 17 is divided by 56/10 - t/15.
5
Let f(n) = 10*n - 14. Calculate the remainder when f(7) is divided by 19.
18
Suppose -2*n - 530 = -7*n. Suppose 41*c = 48*c - 189. What is the remainder when n is divided by c?
25
Let f(y) = -7*y - 11. Calculate the remainder when 16 is divided by f(-3).
6
Suppose 3*i + 4*a = 14 + 36, 3*i - 15 = 3*a. What is the remainder when 37 is divided by i?
7
Let z(u) = u**2 - 5*u**3 - 3*u**3 + 1 + u + 0*u**3. Suppose -12 - 14 = -4*r + 2*g, 2*r - 19 = 3*g. Calculate the remainder when z(-1) is divided by r.
4
What is the remainder when 68 is divided by -2 - (22/(-55))/(1/30)?
8
Suppose 0 = -4*d + 97 + 107. Let h(k) = -k**2 - 9*k + 5. Let n = 16 + -24. What is the remainder when d is divided by h(n)?
12
Let c be (-43)/(-2) + 3/6. Suppose 3*w = w + c. Calculate the remainder when 43 is divided by w.
10
Let w(r) = 4*r + 5. Suppose x + 30 = 4*y, -3*y - y = -2*x - 32. Calculate the remainder when w(y) is divided by 9.
6
Let a(s) = -3*s + 12. What is the remainder when 95 is divided by a(-4)?
23
Suppose -2*p = 3*p - 10. Let t be p/((-4)/(-2)) - 3. What is the remainder when (111/(-6))/(1/t) is divided by 13?
11
Let g(u) = u**3 - 4*u**2 - 16*u - 3. What is the remainder when g(7) is divided by 8?
0
Let m be -2 - (2 + 0/1). Let p(y) = -4*y - 6. Let j be p(m). Calculate the remainder when 27 is divided by (-8)/(-20) + 136/j.
13
What is the remainder when 6 is divided by (-2)/(4/(-2)) + 4?
1
Let y = -11 + 19. Let i = -3 + y. What is the remainder when 19 is divided by i?
4
Let x(v) = -v - 3. Let d be x(-8). Calculate the remainder when 22/d + (-4)/10 is divided by 3.
1
Let n(v) = 5*v**2 + 4*v - 3. Calculate the remainder when 199 is divided by n(2).
24
Let d(c) = -c + 7. Let p be d(5). Suppose -q + 64 = 2*v + v, -p*v + 39 = -3*q. What is the remainder when v is divided by 8?
5
Let k = 85 - 55. Suppose -10 + k = z. Let v = 37 - z. What is the remainder when v is divided by 9?
8
Let m(f) = -2*f - 1. Let n(g) = -6*g - 4. Let u(w) = 8*m(w) - 3*n(w). What is the remainder when 69 is divided by u(7)?
15
Suppose 0 = -3*d + 12 + 81. Suppose -15 = -5*c + 2*i, 3 + 6 = -c - 2*i. What is the remainder when d is divided by (-1)/(3/(-33)*c)?
9
Let w(h) = -h**2 - 6*h + 7. Let y(u) = -2*u - 7. Let s be y(-5). Suppose s*n + 12 = n. What is the remainder when 12 is divided by w(n)?
5
Let b(a) = 2*a - 4. Let j be b(3). Let v = j - -9. What is the remainder when 21 is divided by v?
10
Suppose t = 7 - 2. Suppose -t*g + 164 = -g. Calculate the remainder when g is divided by 14.
13
Let h(i) = 8*i**2 - i + 1. Suppose -5*v + 2*l = -49, v + v - 31 = -3*l. Calculate the remainder when h(2) is divided by v.
9
Let a = 2 + 2. Suppose a*v = 5*b + 7*v - 52, 16 = b - 5*v. Calculate the remainder when 32 is divided by b.
10
Suppose 0*p + p - 2 = 0. Let i(l) = -3 + 0*l + 2*l + 2 + 2*l. Calculate the remainder when 13 is divided by i(p).
6
Suppose 8*v = 3*v. Suppose 0 = 3*y - v*s - 2*s + 59, -y - 22 = -3*s. Let o = -10 - y. What is the remainder when 17 is divided by o?
8
Suppose 0 = 2*f - 8 + 4. Suppose -f*h - 2*w = -1 - 9, 5*h + 2*w = 28. Calculate the remainder when 23 is divided by h.
5
Let c(r) = -r + 22. Let h = -103 - -153. Calculate the remainder when h is divided by c(9).
11
Suppose 2*n + 26 = 3*x, -3*x + 4*n = -48 + 14. Let d be 160/(-28) - 2/7. Calculate the remainder when 2/4 + (-129)/d is divided by x.
4
Suppose 3*m + 9 = -2*i + 27, -4*i + m + 64 = 0. Suppose -5*b + 30 = v - 0*v, -5*v + 4*b = -5. What is the remainder when i is divided by v?
0
Suppose -9*g + 16*g - 861 = 0. Calculate the remainder when g is divided by 31.
30
Let v(u) = u**3 + 13*u**2 - 15*u - 9. What is the remainder when v(-14) is divided by (-27)/(-6) - 1/2?
1
Suppose 16 = -11*u + 13*u. Calculate the remainder when 30 is divided by u.
6
Let w(l) = 9*l**3 - 2*l**2 + 3*l - 2. What is the remainder when w(1) is divided by 2?
0
Let m(k) = -3*k**3 - 2*k**2 + 3*k + 2. What is the remainder when 71 is divided by m(-2)?
11
Suppose w = -5 - 5. What is the remainder when 18 is divided by w/35 - (-72)/7?
8
Suppose 23 - 8 = 3*s, 0 = -4*c + s + 59. Calculate the remainder when c is divided by 3.
1
Let f be 2 + 1 + 1 + -5. Let x(b) be the third derivative of 17*b**5/30 - b**4/24 - 2*b**2. What is the remainder when x(f) is divided by 12?
11
Let r(w) be the third derivative of 1/12*w**4 + 0*w**3 + 0 + w**2 + 1/60*w**5 + 0*w - 1/24*w**6. Calculate the remainder when r(-2) is divided by 14.
12
Suppose -5*n + 4*c + 544 = 0, -2*n + 2*c + 39 + 179 = 0. Suppose -n = -4*f + f. Suppose 3*s = 12 + f. What is the remainder when 30 is divided by s?
14
Let d = 67 + -52. Calculate the remainder when d is divided by 2/(-3) - 58/(-6).
6
What is the remainder when 39 is divided by (2 - -1 - 7)*-2?
7
Suppose -3 = 3*v, c - 6*v = -v. What is the remainder when ((-6)/21 - 438/(-14)) + 1 is divided by 4*3 + c/5?
10
Let u(h) = -h. Suppose -4*a = -3*a + 2. What is the remainder when u(a) is di