.
4
Let f(o) = -o**3 + 3*o - 2. Calculate the remainder when f(-4) is divided by 178/14 - (-8)/28.
11
Let t(k) = 21*k + 1. Let l be t(-1). Calculate the remainder when 25 is divided by 5/(l/(-36)) + -2.
4
Let d = 159 - 126. Suppose 0 = 4*s - 21 + 1. Suppose 0 = s*a - 4*c - 41, -a + c - 28 = -4*a. Calculate the remainder when d is divided by a.
6
Suppose 0 = 2*m - 5*m + 174. Suppose i = -i + m. Suppose -i = -3*b - 4*n, -4*b = 3*n - 0*n - 41. Calculate the remainder when 31 is divided by b.
9
Suppose -p = -2*n - 26, 2*p + n + 24 = 3*p. Let y = 11 + -7. Suppose 3*r + r = 5*l - 32, 0 = -2*r + y. What is the remainder when p is divided by l?
6
Let g(z) = z**3 - 6*z**2 - 8*z + 9. Let h be g(7). Suppose v = -3, -3*v + 17 = h*n - 0. Calculate the remainder when 2/(-13) - (-392)/n is divided by 16.
14
Suppose 4*z = z + 60. What is the remainder when 98 is divided by z?
18
Suppose -70 - 56 = -6*q. What is the remainder when 102 is divided by q?
18
Let m(n) = 2*n**2 + n - 5. What is the remainder when m(5) is divided by ((-306)/(-27))/(4/6)?
16
Let s(o) = -4*o + 3 - 3*o - 17. Let i(f) = f**2 + 4. Calculate the remainder when i(7) is divided by s(-4).
11
Calculate the remainder when (10/15)/((-2)/(-63)) is divided by 8.
5
Suppose 10 = -k + 4*n, -k + 28 = 5*n + 2. Suppose -k*x + 3*x + 180 = 0. Calculate the remainder when x is divided by 21.
18
Suppose -p - p = -4*k + 108, 0 = 4*p + 16. Calculate the remainder when k is divided by 14.
11
Let h be (-6)/8 - (-75)/20. Suppose -2*i + 1 + 8 = -h*d, -23 = -3*i - 5*d. Calculate the remainder when 1/2 - (-57)/6 is divided by i.
4
Let a(z) = 2*z - 13. Let h be a(10). Let s = 27 - h. Calculate the remainder when 39 is divided by s.
19
Let j = 50 - 71. Let a = -11 - j. What is the remainder when 27 is divided by a?
7
Suppose -6*a = 4*a - 700. What is the remainder when a is divided by 18?
16
Let y = 51 + -29. What is the remainder when y is divided by 13?
9
Suppose 3*m = 8*m. Let i be 1/2*m - 2. Let o(z) = -24*z + 1. What is the remainder when o(i) is divided by 17?
15
Let x = 30 - 80. Let h = -36 - x. What is the remainder when h is divided by 2 + 2 + -2 + 3?
4
Let a(z) = -z + 10. Let i be a(5). Suppose 4*p = -3*o + 340, i*p + 0*o - 428 = -3*o. Suppose w = 5*w - p. Calculate the remainder when w is divided by 8.
6
Let c = -52 - -81. What is the remainder when 114 is divided by c?
27
Suppose -5*i = -i - 120. Suppose 3*d = 5*g + 17, 9 = d - 3*g - 2. Let t = i + d. What is the remainder when t is divided by 10?
9
Suppose 0 = 2*n + p - 47 - 55, 0 = -3*p + 12. Calculate the remainder when n is divided by 26.
23
Let r = 3 + -1. Let m = 8 - r. What is the remainder when 10 is divided by m?
4
Suppose -4*a - 3*w - 1 = 8, 4*a + 4*w = -8. Let k(c) = 9*c**2 - 4*c - 4. Calculate the remainder when k(a) is divided by 23.
20
Let x = 21 - 20. Calculate the remainder when 2 is divided by x.
0
Suppose 53*w - 320 = 49*w. What is the remainder when w is divided by 41?
39
Suppose -5*b + 20 = -30. Calculate the remainder when 27 is divided by b.
7
Let v = 27 - 16. Let m be 200/v + (-12)/66. Let q = m + -8. What is the remainder when q is divided by 4?
2
Let d(h) = h - 6. Let a be d(8). Suppose a*p = -0 + 4. Suppose 3*g - 2*y - 88 = 0, 92 = 3*g - p*y + y. Calculate the remainder when g is divided by 17.
15
Let z(n) = -n + 1. Let h(g) = -22*g - 25. Calculate the remainder when h(-2) is divided by z(-3).
3
Suppose 2*n + 11 = 5*i - 15, 4*i = -2*n + 10. Suppose 2*c + c = 21. What is the remainder when c is divided by i?
3
Let g be 1 + 2 - (-2)/(-1). Let h(q) = -q**3 + 6*q**2 + 8*q - 2. Let b be h(6). Let f = g + b. What is the remainder when f is divided by 16?
15
Let d be (-14)/(-3)*9/(-6). What is the remainder when 18/63 - 299/d is divided by 11?
10
Suppose 5*t - 2*d - 296 = 0, -2*t - 4*d - 4 = -132. What is the remainder when t is divided by 31?
29
Suppose -12 = -2*p - f - f, 3*f - 9 = 0. Suppose 2*d - 11 = -1. Suppose n - d + 0 = 0, 3*c - 37 = -5*n. Calculate the remainder when c is divided by p.
1
Suppose 6 = d - 3*d, 3*u = -d - 6. Let i be -3*(1 - 2) + u. Let l = 6 + i. Calculate the remainder when 15 is divided by l.
7
Suppose -4 + 0 = -t. Suppose 3*f + 1 + 23 = 5*q, -3*f = -3*q + 12. Suppose -5*a + q*b + 2 = 2*b, 4*a = -b + 10. What is the remainder when t is divided by a?
0
Suppose 3*m = 4*q + 7*m - 276, -2*q = -5*m - 131. What is the remainder when q is divided by 36?
32
Let k = 243 + -142. Calculate the remainder when k is divided by 26.
23
Suppose -3*t - 45 = -4*z + 2*z, 0 = 5*z - 3*t - 135. What is the remainder when z is divided by 21?
9
Let j = -25 + 35. What is the remainder when -2*(1 - 42/4) is divided by j?
9
Calculate the remainder when 65 is divided by (-36)/54 + (-68)/(-3).
21
Let f be 5/((-10)/(-84)) - -1. Suppose -32 = -2*x + u, -f = -x - 2*x + 4*u. Suppose 0*c = -2*c + 18. What is the remainder when x is divided by c?
8
Let w(s) = s**2 - 3*s - 7. Calculate the remainder when w(-11) is divided by 37.
36
Let i(o) be the second derivative of -o**4/12 + 4*o**3/3 + o**2/2 - 2*o. What is the remainder when 23 is divided by i(7)?
7
Let p(o) = o**3 - 3*o**2 + 3*o + 3. Suppose w + 3 - 6 = 0. Suppose -5*s = 2*y - 59, -w*s + 2*y + 34 - 5 = 0. Calculate the remainder when p(4) is divided by s.
9
Let p(l) = 2*l**2 + l - 3. Let a(x) = -x + 17. What is the remainder when a(14) is divided by p(-2)?
0
Let m(z) = -z - 4. Let q be m(-3). What is the remainder when (-1 - q) + (-7 - -8) is divided by 1?
0
Let u(x) = x**2 + 5*x - 45. What is the remainder when 102 is divided by u(-11)?
18
Suppose -5*v + 4*m = -64, -3*v + 3*m - m + 38 = 0. What is the remainder when 44 is divided by v?
8
Let z be 29/3 - 7/(-21). Suppose -13*w = -z*w - 12. Suppose -17 = -5*u + 13. What is the remainder when u is divided by w?
2
Let k(i) = -4*i**3 + i**2 + 1. Suppose -9 = 5*u + 4*q + 6, 3*u + q = -2. Let r = -3 + u. What is the remainder when k(r) is divided by 13?
11
Calculate the remainder when 3 is divided by (1 + -3)/(-4 + -1 - -3).
0
Suppose 3*k + 5*c - 2*c - 117 = 0, 47 = k - c. Calculate the remainder when k is divided by 23.
20
Suppose -z - 22 = -h, -4*z = 5*h - 25 - 49. Calculate the remainder when 89 is divided by h.
17
Let n = -6 + 9. Let m = 14 - 9. Suppose m = -n*p + 53. What is the remainder when p is divided by 6?
4
What is the remainder when -2 + 82*(-3)/(-6) is divided by 21?
18
Let t(p) = -p + 2. Calculate the remainder when 22 is divided by t(-4).
4
What is the remainder when 20 is divided by (-2)/9 + (-74)/(-9)?
4
Suppose -5*k - j = -19, -j - 4*j + 32 = 4*k. Let i(m) be the first derivative of -m**4/4 - m**3/3 + m + 1. Calculate the remainder when i(-2) is divided by k.
2
Let f = 21 - 12. What is the remainder when (5 - 39)*2/(-4) is divided by f?
8
Suppose 2*w - 3 = 3*y - 2*y, -5*y + 15 = 0. What is the remainder when 6 is divided by w?
0
Let r(z) = -3*z - 20. Let l(f) = -2*f**3 - f**2 + 1. Calculate the remainder when l(-2) is divided by r(-9).
6
Let r(l) = -l - 5. What is the remainder when 19 is divided by r(-15)?
9
Let h(i) = -32*i - 5. Let c(q) = -4*q - 6. What is the remainder when h(-1) is divided by c(-5)?
13
Suppose g = -g + 44. Calculate the remainder when 63 is divided by g.
19
Let g = -14 + 29. Calculate the remainder when 59 is divided by g.
14
Let q be 5 - (0 - 3/(-3)). Suppose 0 = -r + q*x + 32, 4*r = 8*r + 4*x - 48. Let g(s) = -s**3 - 3*s**2 - 2*s. Calculate the remainder when r is divided by g(-3).
4
What is the remainder when (-14 - 3)*(3 - 4 - 0) is divided by 10?
7
Suppose -2*k + 32 = 2*k. What is the remainder when -2 - (k + -3)*-4 is divided by 10?
8
Let t(m) = -9*m - 35. Let w(s) = -s**2 - 7*s + 1. Calculate the remainder when t(-6) is divided by w(-6).
5
Suppose 23 = 3*w - 43. Calculate the remainder when 87 is divided by w.
21
Let h(r) = -r**3 - 4*r**2 - 4*r + 1. Let j be h(-3). Suppose j*t - 47 - 13 = 0. Suppose -62 = -5*v + 73. What is the remainder when v is divided by t?
12
Suppose 4*m - 3*h - 370 + 139 = 0, 0 = 5*m - 5*h - 285. Suppose n = -4*n + m. What is the remainder when 5/(-1)*(-66)/15 is divided by n?
10
Suppose 5*a + 20 = 0, 64 + 4 = 2*q - 2*a. Let i = q + -20. Let l = i - 0. Calculate the remainder when 28 is divided by l.
8
Suppose -85 = -3*d + 59. What is the remainder when d is divided by 7?