e 4/6 - 204/9. Let r be 2/(-11) + (-48)/p. Suppose -q - y + 0 - 1 = 0, r*q = -y + 3. What is the remainder when 13 is divided by q?
1
Suppose -2*a - 110 = -7*a. Calculate the remainder when 4/a - (-654)/33 is divided by 7.
6
Suppose 6*m = -0*m + 66. Let f = 8 - 4. Let t = m + f. What is the remainder when 43 is divided by t?
13
Suppose 12 - 80 = -q. Calculate the remainder when q is divided by 12.
8
Let v(f) = -f**2 + 11*f + 5. Calculate the remainder when v(10) is divided by (6/9)/(2/24).
7
Let x(m) be the third derivative of m**6/120 + 2*m**5/15 + 2*m**3/3 - 7*m**2. What is the remainder when 14 is divided by x(-8)?
2
Let m be (2 + -1 - 1) + 2. Suppose -g - 2*g = -15, 45 = m*q + g. Suppose -q = -5*a - 0*a. Calculate the remainder when 7 is divided by a.
3
Suppose -c - 6 = 5*w, c + 0 = 5*w + 14. Suppose 18 = c*d - 7*d. What is the remainder when d/(-9)*(-39)/(-2) is divided by 4?
1
Let x(o) = -8*o - 10. What is the remainder when x(-6) is divided by 13?
12
Suppose 0*m - 55 = -5*h + 5*m, 5*h + 5*m - 105 = 0. Suppose 4*q = 71 + 181. Calculate the remainder when q is divided by h.
15
Let j(l) = l + 7. Let a be j(-6). What is the remainder when 90 is divided by (-46)/(4/(-2)*a)?
21
Let k(g) = g**3 + 36*g**2 + 36*g + 38. Suppose -h + 3 = -2. What is the remainder when h is divided by k(-35)?
2
Suppose 3*b - 2*i + 4 - 76 = 0, 0 = 3*b + i - 81. What is the remainder when 103 is divided by b?
25
Let j(k) be the first derivative of -7*k**4/2 + 2*k**3/3 + k**2 + k - 4. What is the remainder when j(-1) is divided by 8?
7
Let f(j) be the first derivative of j**2 + 8*j - 3. Suppose -12 = -2*g - 5*y + 3, -5*g + 21 = -4*y. What is the remainder when f(0) is divided by g?
3
Suppose r + 3*q - 37 = 0, -2 = 4*q + 2. What is the remainder when r is divided by 8/20 - (-136)/10?
12
Let b be (-1)/(1 + 0 - 2). What is the remainder when (b/(-1) - -18)/1 is divided by -2*(-1)/(-9) + 376/72?
2
Let g = 4 - 1. Suppose -d = 5*f + 13, 2*d + d - 15 = g*f. Suppose -u - 21 = -d*u. Calculate the remainder when u is divided by 11.
10
Suppose 1 = -3*n + 28. Calculate the remainder when 15 is divided by n.
6
Let n(r) = 5*r - 15. Let h be n(5). Suppose -5*w - h = -10*w. Calculate the remainder when 2 is divided by w.
0
Let n(u) = u**2 + 3*u - 1. Let d be n(-3). Let a(h) = -7*h**3 + h**2 + 2*h + 1. Calculate the remainder when a(d) is divided by 2.
1
Let p be (90/4)/(9/12). Suppose 4*r + 0*k - 2*k + p = 0, 0 = r - 3*k + 15. Let s(o) = o**2 + 2*o + 1. What is the remainder when s(r) is divided by 9?
7
Let w be (-1 + 62/(-10))*-5. Let p = w + -23. What is the remainder when 25 is divided by p?
12
Calculate the remainder when 8 is divided by (-1 + (-3 - -3))*-5.
3
Let q = -68 + 75. Calculate the remainder when 22 is divided by q.
1
Let r(t) = -7*t. Let b(g) = g + 9. Let v be b(-5). What is the remainder when v/(-8) - 27/(-2) is divided by r(-1)?
6
Let h = 72 - 38. What is the remainder when 169 is divided by h?
33
Let m(t) = t**2 - 8*t - 12. Let k be m(9). Suppose 6 = -j + 3*j, 74 = 4*x + 2*j. What is the remainder when x is divided by (-2)/k - 32/(-6)?
5
Suppose 110 = 2*i + 4*u, 2*u = 3*i + 2*i - 251. What is the remainder when 201 is divided by i?
48
Calculate the remainder when 268 is divided by ((-14)/35)/(3/(-135))*3.
52
Let w(x) = -20*x - 1. Suppose 3*y - 11 = 5*a + 5, -5*y + 38 = 3*a. Calculate the remainder when w(-1) is divided by y.
5
Let i(d) = d**2 - 7*d - 5. Let l be i(6). Let v = l - -76. Calculate the remainder when v is divided by 17.
14
Calculate the remainder when 68 is divided by (-2)/((30/(-175))/3).
33
Let u = -4 - -3. Let t be 4 + u - 10/(-5). Suppose 0 = -3*i - t*y + 18, i - 3*i + 3*y + 31 = 0. What is the remainder when 31 is divided by i?
9
Let f = -151 + 215. What is the remainder when f is divided by 22?
20
Let a = -10 - -15. Let f = 1 - 1. Suppose 18 = 5*b + 4*h, -3*h + f*h = -b - 4. Calculate the remainder when a is divided by b.
1
Let q(s) = -s**3 + 1. What is the remainder when 30/25*(-5)/(-3) is divided by q(0)?
0
Suppose 2*d - 316 = -2*d. Suppose -5*p + 10 = u - 16, -4*u + d = -5*p. What is the remainder when (2*3)/((-4)/(-40)) is divided by u?
18
Suppose 2*a = -13 - 1. Let l = a - -9. Calculate the remainder when 4 is divided by l.
0
Suppose -1 = -2*t - 3*z, t + 2*z = 5*z - 4. Calculate the remainder when t/(-4 - 150/(-38)) is divided by 5.
4
Suppose l + x - 20 = 0, -4*l - 5*x = 32 - 112. What is the remainder when 30 is divided by l?
10
Let k(d) = 4*d + 69. Calculate the remainder when k(-11) is divided by 17.
8
Let l = 23 - -4. Calculate the remainder when 158 is divided by l.
23
Let r(l) = 2*l**2 + 4*l + 4. Suppose -2 = -2*m, 3*h - 5*m = -0*m - 227. Let z = -46 - h. Calculate the remainder when z is divided by r(-3).
8
Let p(j) = 5*j**2 - 2*j + 3. What is the remainder when p(-3) is divided by 14?
12
Suppose 5*a - 2*x - 301 = -x, 0 = -4*a + 3*x + 232. What is the remainder when a is divided by 21?
19
Let j(s) = s**3 + 6*s**2 + 3*s - 3. Calculate the remainder when j(-5) is divided by (-91)/(-28) - (-6)/8.
3
Let x = 46 + -28. Let m = x - 13. Let p = -5 + 18. Calculate the remainder when p is divided by m.
3
Suppose 0 = 5*m + 4*y + 1, 3 + 3 = -2*m + 4*y. Suppose 4*k = 3*s - 4 - 0, -2*k - 24 = 4*s. Calculate the remainder when 16 is divided by 0 - m - s*2.
7
Let j(p) = -p**2 + 9*p - 6. Suppose 3*x + 5*v - 41 = -0*x, 0 = -4*x - v + 32. What is the remainder when 31 is divided by j(x)?
7
Let y be (-1 + 2)/(-1)*8. Calculate the remainder when 7 is divided by (6/9)/(y/(-36)).
1
Let w(h) be the third derivative of -h**6/120 + h**5/12 + h**4/24 + h**3 - 8*h**2. Calculate the remainder when 43 is divided by w(5).
10
Suppose 7 = 4*q - 3*q. Let c = 5 - q. Let h = c - -5. Calculate the remainder when 8 is divided by h.
2
Let m = 45 + 14. What is the remainder when m is divided by 13?
7
Let x = 107 + -28. Calculate the remainder when x is divided by 20.
19
Let r be (0 + 3)*1/3. Suppose -2*j - 7 = -r. Let u = j + 6. Calculate the remainder when 8 is divided by u.
2
Suppose -63 = 13*m - 16*m. Let o = 28 - m. Suppose 0*k + k = 26. Calculate the remainder when k is divided by o.
5
Suppose -399 = -3*i - 3*l, 4*i + 5*l = 5*i - 139. Calculate the remainder when i is divided by 34.
32
Suppose -1 = 2*y - 11. Suppose -2*a + y*a = 33. What is the remainder when 43 is divided by a?
10
Let i = 89 - 59. What is the remainder when 86 is divided by i?
26
Suppose -h - 65 + 70 = 0. What is the remainder when h is divided by 1?
0
Let f = 12 - 11. Calculate the remainder when 58 is divided by 2/2*(19 + f).
18
Let g(b) = 15*b. Let c be g(1). Let r = c - -4. Calculate the remainder when r is divided by 5.
4
Let h(a) = 3*a**2 + 12*a - 2. Let j(f) = 8*f**2 + 35*f - 5. Let s(x) = -11*h(x) + 4*j(x). What is the remainder when s(6) is divided by 5?
4
Suppose 5*f - 4*u - 111 = 0, -4*f - 3*u + 16 = -48. Let z(i) = -i**3 + i**2 + i + 4. Calculate the remainder when z(-3) is divided by f.
18
Suppose -4*o = -2*i - 620, -5*o = i + 377 - 1159. Suppose j + k = 2*k + 60, o = 3*j + 3*k. What is the remainder when j is divided by 19?
18
Calculate the remainder when 49 is divided by (-1 - -10)/(-7 + 8).
4
Let k be (-27)/(-6) + 2/4. Suppose -k = -0*m + m. Calculate the remainder when (-160)/m - (-3 - -1) is divided by 18.
16
Let k = 53 + -36. Let z(s) = -s**2 + 14*s + 9. Calculate the remainder when z(10) is divided by k.
15
Suppose 5*j = -3*b + 230, 3*b - j - 253 = -11. Suppose -5*a = 5*v - b, v - 25 = 4*a - 64. What is the remainder when 20 is divided by a?
9
Suppose -7*p = l - 3*p - 9, 4*l - 2*p - 18 = 0. Let j = 9 - -5. Calculate the remainder when j is divided by l.
4
Let r be ((-104)/4)/((-2)/1). Suppose -4*y - 33 = -2*m - 3*m, m = 4*y + r. Let u = m - 3. What is the remainder when u is divided by 1?
0
Suppose 0*s - 24 = -4*s + 4*b, 0 = -5*s + 3*b + 26. Calculate the remainder when 9 is divided by s.
1
Let n = 11 + -1. Calculate the remainder when 39 is divided by n.
9
Let w = 116 + -78. Suppose -w = 4*t + 78. Let i = t - -64. Calculate the remainder when i is divided by 12.
11
Let y = -53 + 65. What is the remainder when 93 is divided by y?
9
Let i = 181 - 92. Calculate the remainder when i is divided by 13.
11
Let g(l) = -2*l**3 - 2*l - 1. What is the remainder when g(-3) is divided by 1