(8). Calculate the remainder when 14 is divided by 1 + 0 - (-14 + h).
5
Let r = -22 + 41. What is the remainder when 54 is divided by r?
16
Suppose -15 = -w + 64. Suppose -i - 5*u + w = 0, -i + 3*u = -0*u - 87. What is the remainder when i is divided by 17?
16
Let t = -7 + 11. Let l = -1 + -7. Let g = -1 - l. Calculate the remainder when g is divided by t.
3
Let v be (-7 - -8)*(-6 - -1). Let n = v + 7. What is the remainder when n is divided by 1?
0
Let s(r) be the first derivative of r**4/4 + 2*r**3 - 3*r**2/2 - 6*r + 2. Calculate the remainder when s(-5) is divided by 9.
7
Let n(q) = q**2 + 4*q - 4. Let k be n(-6). Let a = 30 - k. What is the remainder when 64 is divided by a?
20
Let a = -10 + 11. Let l(y) = 29*y. What is the remainder when l(a) is divided by 10?
9
Suppose 0 = -16*f + 136 + 72. What is the remainder when 103 is divided by f?
12
Let f be 6/4*-2 + 1. What is the remainder when 19/((-1)/(1 + f)) is divided by 7?
5
Suppose -o + 3*o - 34 = 0. Calculate the remainder when o is divided by 10.
7
Let q be 4/(-12) + 55/3. Calculate the remainder when 12/14*(3 - -4) is divided by (-8)/36 - (-58)/q.
0
Suppose -8*x = -6*x - 164. What is the remainder when x is divided by 17?
14
Suppose 0 = 11*l - 14*l + 93. Calculate the remainder when l is divided by -6*(-4)/9*3.
7
Suppose -2*r = r - 87. Let x(t) = -t**3 - 10*t**2 - 17*t + 7. Calculate the remainder when r is divided by x(-8).
14
Let t = 2 - 0. Suppose -4*v - 3 = -t*o - o, -4*o + v = -17. Suppose 23 + 32 = o*s. Calculate the remainder when s is divided by 6.
5
Let t = -1 + 4. Let c(k) = k**3 + k - 3. Let b = -204 - -218. Calculate the remainder when c(t) is divided by b.
13
Let v be ((-24)/(-20))/(1/35). Suppose -b - 10 + v = 0. Suppose z - b = -0*z. What is the remainder when z is divided by 11?
10
Let a = 2 + 0. What is the remainder when (0 + -2)/(-1) + 2 is divided by a?
0
Let d be 1 + 7 - (1 - -2). Suppose z = d*z - 56. Suppose -y + 30 = -24. What is the remainder when y is divided by z?
12
What is the remainder when 88 is divided by -9 + 9 - (-4 - -2 - 28)?
28
Let k(d) = -5*d**3 - d**2. Let z(i) = -i**2 + 7*i + 6. Let o be z(7). Let v(l) = l**2 - 5*l - 1. Calculate the remainder when v(o) is divided by k(-1).
1
Let b(k) be the first derivative of k**3/3 - 3*k**2/2 + 3*k - 1. Let q(h) = -h**2 - 10*h + 16. Let t be q(-11). What is the remainder when b(t) is divided by 5?
3
Let m = -16 - -76. What is the remainder when m is divided by 16?
12
Let g be (-132)/16*16/(-6). Suppose -g*d = -17*d - 240. Calculate the remainder when d is divided by 10.
8
Let c = -4 - -2. Suppose i + 5*h = 7 + 7, 0 = -4*i + 4*h + 8. Calculate the remainder when i is divided by 1 + (3 - (3 + c)).
1
Suppose j = 3*s + 17, s + 2*s = 3*j - 21. Suppose -45 = -3*m - 5*o - 0*o, -2*o + 26 = j*m. Let p = 17 - m. Calculate the remainder when 13 is divided by p.
6
Suppose 2*o - 9*b - 69 = -8*b, -177 = -5*o - 2*b. What is the remainder when o is divided by 10?
5
Let z(b) = b + 9*b**2 + b + 3*b**2 - 1. Calculate the remainder when 25 is divided by z(1).
12
Let m(p) = 2*p - 4. Calculate the remainder when m(6) is divided by 2.
0
Let t(o) = -o**3 + 7*o**2 + 2*o - 3. Suppose 2*f = -7 + 25. Suppose 4*j - 3*p + 2*p - 33 = 0, -2*j - p + f = 0. What is the remainder when t(j) is divided by 6?
5
Let f = -12 + 14. Let v(l) = -l - 2. What is the remainder when v(-7) is divided by f?
1
Suppose -4*h = h - 15. Suppose 2*g + g = h*x - 24, 0 = -4*g + 20. What is the remainder when 25 is divided by x?
12
Let v(o) = 4*o - 7. Let w be (-6)/27 - (-38)/9. Suppose -5*b - 2*c + 265 = 0, -5*c = -w*b + 189 - 10. What is the remainder when b is divided by v(5)?
12
Suppose 3*j = 3*c + 90, -2*c - c + 14 = j. Suppose 5*q + 3*w = 67, -4*q + 36 + 25 = -5*w. Suppose -5*d = -59 + q. What is the remainder when j is divided by d?
8
Suppose 3*d - 112 = -d. What is the remainder when 81 is divided by d?
25
Let n(o) = -6*o + 24. What is the remainder when n(-6) is divided by 9?
6
Calculate the remainder when 43 is divided by (-6)/(-6*(-3)/(-48)).
11
Let k = -4 + 8. Suppose o - 7 - 12 = -r, -46 = -2*r - k*o. Suppose -5*n + r = -15. What is the remainder when 11 is divided by n?
5
Let n(w) = -10*w - 5. Let i(k) = -5*k - 3. Let q(t) = -10*i(t) + 6*n(t). What is the remainder when q(-1) is divided by 6?
4
Suppose l + 8 = p - 3*l, -2*p + 2*l = -22. Suppose -c + 2*o = c - 164, -c = 2*o - 70. Let n = -44 + c. Calculate the remainder when n is divided by p.
10
Suppose -4*k + 37 = -0*k - 5*a, 0 = a + 5. Suppose k*x + x - 24 = 0. Calculate the remainder when 10 is divided by x.
4
Suppose -2*z + 7*z - 40 = 0. Calculate the remainder when 30 is divided by z.
6
Let j = 81 + -66. Suppose 4*i = 6 + 18. Calculate the remainder when j is divided by i.
3
Suppose 5*o = 2*k - 78, 0*o = 2*o - 5*k + 48. Let v = -6 - o. What is the remainder when v is divided by 3?
2
Let m(g) be the second derivative of 5*g**3/3 - 3*g**2/2 + 5*g. Calculate the remainder when m(3) is divided by 14.
13
What is the remainder when 81 is divided by (-2)/(5/((-105)/2))?
18
Suppose -3*m = -0 - 30. Calculate the remainder when 18 is divided by m.
8
Let h = 22 - 13. Let m(v) = v + 3. Let w be m(-6). Let p = 2 - w. What is the remainder when h is divided by p?
4
Let t(c) = -19*c**3 + c**2 - 1. Let z = 47 + -10. Calculate the remainder when z is divided by t(-1).
18
Let w = 6 + -3. Suppose -60 = w*r + 63. Let m = -28 - r. What is the remainder when m is divided by 5?
3
Suppose -2*h - 2 = 0, s = 2*s - 4*h - 13. Suppose -s*l + 21 = -2*l. What is the remainder when 17 is divided by l?
2
Suppose 0 = -5*l + 78 + 22. Calculate the remainder when 5/l + 223/4 is divided by 19.
18
Let m(b) = 3*b**2 + 3*b - 29. Calculate the remainder when m(7) is divided by 20.
19
Let d = -4 + 9. Suppose 5*v - 4*m + d = m, 4 = 4*v - 2*m. Calculate the remainder when 6/2 + (6 - 5) is divided by v.
1
Suppose 4 = 4*o, -4*g = -0*g + 5*o - 169. What is the remainder when g is divided by 15?
11
Let w = 0 + 5. Suppose -5*g = 5*l - 20, w*g = -4*l + 3*l + 12. Calculate the remainder when g is divided by 2.
0
Let a(g) be the third derivative of g**4/24 + g**3/3 + 2*g**2. Let v be a(2). Suppose 1 = v*x - 19. Calculate the remainder when 14 is divided by x.
4
Let k(j) = -j**3 + 9*j**2 - 5*j - 10. What is the remainder when 52 is divided by k(8)?
10
Let y be (-10)/55 + (-1821)/(-33). Suppose 4*j - y = -3*q, 3*q + 4*j = 2*q + 29. Calculate the remainder when 24 is divided by q.
11
Calculate the remainder when (-9)/6 + (-23)/(-2) is divided by 3.
1
Suppose -r - 4*k = 24 - 6, 0 = 2*r - k. Let h be 2/8 - r/(-8). Let b = 5 - h. What is the remainder when 13 is divided by b?
3
Let o(d) = 1 + 23*d + 2 - 2. Let q be -6 - -7 - (1 - 1). Calculate the remainder when o(q) is divided by 13.
11
Suppose 45 = -0*i + 3*i. Suppose -60 = -5*o + i. What is the remainder when o is divided by (-1 - -3)/(2/8)?
7
What is the remainder when 56 is divided by (-1 - -16)/(-3) + 28?
10
Let w(o) = -o**3 - 13*o**2 + 8*o - 3. Suppose 3*c + 1 = z, -z - 2*c + 60 = -6*z. Calculate the remainder when w(z) is divided by 21.
18
Let q = 29 + 47. Suppose -2*y = -3*d + y + 75, 2*d - 5*y = 47. What is the remainder when q is divided by d?
24
Suppose -8*n + 192 = -0*n. What is the remainder when 43 is divided by n?
19
Let d = 62 - 35. Suppose -q = -7*q + 318. What is the remainder when q is divided by d?
26
Suppose 4*b - 5*b + 29 = 0. Calculate the remainder when b is divided by 10.
9
Suppose 4*b = -5*g + 52, 3*b - 3*g = -2*b + 65. Calculate the remainder when 33 is divided by b.
7
Suppose -5*h + 69 = -3*n, -4*h - n + 8 = -54. Let u(g) = g**3 + 18*g**2 + 17*g + 27. What is the remainder when u(-17) is divided by h?
12
Let w(d) = -d**2 - 14*d - 2. What is the remainder when w(-13) is divided by 6?
5
Let u(z) = -4*z - 17. Calculate the remainder when u(-9) is divided by 5.
4
Let o = 49 + 6. Calculate the remainder when o is divided by 28.
27
Suppose 0*h = -h + 13. What is the remainder when h is divided by 8?
5
Let v = 0 - -17. Suppose -4*p = -5*p - m + 51, 2*m = 2*p - 94. What is the remainder when p is divided by v?
15
Let h be 1209/27 - 6/(-27). Let b = -20 + h. Calculate the remainder when b is divided by 13.
12
Suppose 3*l - 2*u = 6, -3*l + u + 13 = l. Calculate the remainder when 