ose b - 76 = 5*b. Let y = 34 + b. Calculate the remainder when y is divided by 8.
7
Let v(c) be the second derivative of -1/12*c**4 + 3/2*c**3 + 1/2*c**2 + 0 - 3*c. What is the remainder when 25 is divided by v(8)?
7
Let v = 1 - -33. Suppose 0*x - v = -2*x. Suppose 5*s - 132 = -x. What is the remainder when s is divided by 8?
7
Suppose 0 = -10*v + 202 - 12. Calculate the remainder when 34 is divided by v.
15
Suppose 18*o - 51 = 15*o. Calculate the remainder when 32 is divided by o.
15
Suppose 5*u - 71 = -2*a, 0*a = -5*u - 4*a + 77. What is the remainder when 76 is divided by u?
11
Let z = 19 + -11. What is the remainder when 15 is divided by z?
7
Let n(k) = k**3 + 8*k**2 + 4*k + 3. Suppose -4*z - 129 = -3*j, -5*j = -0*j - 3*z - 226. Calculate the remainder when j is divided by n(-7).
23
Let h(f) = -f + 3. Let n be h(0). Suppose -2*k = -n*k - 3. Calculate the remainder when k*(-1)/3*37 is divided by 13.
11
Let a(v) = -v**2 - 12*v + 4. Calculate the remainder when a(-10) is divided by 7.
3
Let q = -10 - -55. Let t = -32 + q. What is the remainder when (0 - -1)/(1/38) is divided by t?
12
Suppose -5*w + 44 = -26. Calculate the remainder when w is divided by 9.
5
Let g(p) be the second derivative of p**4/12 - 3*p**3/2 - 7*p**2/2 - 2*p. What is the remainder when 3 is divided by g(10)?
0
Let a = -70 - -105. What is the remainder when 104 is divided by a?
34
Let t(x) = -45*x**3 - 1. Let f(y) = -y**3 + 6*y**2 + 9*y - 8. Let j be f(7). Let u = j - -9. Calculate the remainder when t(-1) is divided by u.
14
Let g(b) = 19*b - 1. Let j be g(3). Suppose -6*v + 2*v = -j. Let o = -4 + 9. Calculate the remainder when v is divided by o.
4
Suppose -4*q + 2*q - k + 9 = 0, -4*q - k = -17. Calculate the remainder when 25 is divided by q.
1
Let q = 8 - 16. Let i = q - -20. Calculate the remainder when ((-141)/9)/(2/(-6)) is divided by i.
11
Suppose -2*k + 3*k - 58 = 0. Calculate the remainder when k is divided by 15.
13
Suppose -112 = -2*i - i + 5*b, i - 19 = -2*b. Suppose j - 2 = 2. Suppose f - 5*n = -0*n - 10, 3*f + j*n = 65. What is the remainder when i is divided by f?
14
Let i be 2/(-16) - (-1863)/(-72). Let m = 40 + i. Suppose -3*w + 0*p = -4*p - 16, 0 = 2*p - 4. What is the remainder when m is divided by w?
6
Suppose 9*f = 4*f + 80. Calculate the remainder when 46 is divided by f.
14
Suppose 107 - 32 = 5*p. Calculate the remainder when p is divided by 4.
3
Suppose 5*c - 147 = -12. What is the remainder when c is divided by 10?
7
What is the remainder when (6 + -15)*(-6)/2 is divided by 7?
6
Let p(c) = c**3 + 3*c**2 - 4*c - 4. Let b be p(-3). Suppose -7*q = -3*q + b. Let k = q - -8. What is the remainder when 11 is divided by k?
5
Let h be (0/3)/(3 - 1). Suppose 61 = -h*a + a. Calculate the remainder when a is divided by 21.
19
Let u(h) = h**3 + h**2 - 14*h - 4. Suppose 0*r + 2*r = 6. Calculate the remainder when u(-4) is divided by 2/3*r + 0.
0
Suppose 5*r + 4*a = 100, 5*r + 32 - 87 = 5*a. Calculate the remainder when 93 is divided by r.
13
Let b(v) = 5*v + 54. Let r = -3 + 28. What is the remainder when r is divided by b(-9)?
7
Let w(m) = 11*m - 5. Let t = 1 - -4. Let p = 40 - 27. What is the remainder when w(t) is divided by p?
11
Suppose -5*l = 15 - 255. Suppose -2*q = t + 3*q - 8, q = -3*t + 38. What is the remainder when l is divided by t?
9
Suppose -14 = -t - 0*t. Suppose -3*k = 2*k - 5*o - 140, -k + 3*o = -32. What is the remainder when k is divided by t?
12
Let g(a) = -22*a - 1. What is the remainder when g(-1) is divided by 6?
3
Suppose l - 69 = -2*r + 2*l, -4*l = -12. Calculate the remainder when 105 is divided by r.
33
Let o(u) = u**3 + 4*u**2 - 6*u - 14. Calculate the remainder when o(-4) is divided by 4.
2
Let r(b) = b + 5. Suppose 0 = g - 3*i - 8, -3*g = 5*i + 32. Suppose 3*h + s = 0, -3*h = -6*s + s - 18. What is the remainder when h is divided by r(g)?
0
Let t(g) = g**2 + 11*g - 17. Let j be t(-13). Suppose x - 5 = j. Calculate the remainder when 26 is divided by x.
12
What is the remainder when 0 - (0 - 101) - 3 is divided by 20?
18
Let g(f) = f**2 - 2. Suppose s - b = 1, s - 5*b + 0*b + 3 = 0. Let l be g(s). Suppose 2*j + l*j = 40. Calculate the remainder when 29 is divided by j.
9
Suppose 7 = -2*z - 15. Let s = -4 - z. What is the remainder when 1/6 - (-298)/12 is divided by s?
4
What is the remainder when (-8 - 3) + 5 + 86 is divided by 27?
26
Calculate the remainder when 47 is divided by (14/(-35))/(2/(-80)).
15
Suppose -5*u = 3*a - 15, -2*u + a - 5 = -3*u. Let k = 3 - u. Suppose 62 = 4*j - h, k*h - 69 = 4*j - 9*j. Calculate the remainder when 29 is divided by j.
14
Let b(l) = -l**2 + 3*l - 2. Let h be b(4). Let t be h - -4 - 24/(-1). Let d = t + -11. Calculate the remainder when d is divided by 6.
5
Let f = 14 + -2. Let x be (-2)/(-5) + (-81)/15. Let b = f + x. What is the remainder when b is divided by 3?
1
Suppose -2*l + 14 = 2*g - 4*l, 2*g = 5*l + 8. Suppose -12*u = -g*u - 231. Calculate the remainder when u is divided by 20.
17
Let t(q) = -q**3 - 6*q**2 - 7*q + 2. Let r be t(-5). Suppose 0 = 3*y + r, 4*b - 5*y - 32 = 56. Calculate the remainder when -8*-2*2/1 is divided by b.
15
Let r(v) = -v**2 + v + 4. Let w = 6 + -2. Suppose 23 = w*n - 5. What is the remainder when n is divided by r(0)?
3
Calculate the remainder when 53 is divided by 42/(-4 + 7) - 3.
9
Suppose 150 = -2*i - 2*a, -a + 205 = -4*i + i. Let h = -9 - i. What is the remainder when h is divided by 16?
13
Let h(s) = 2*s**2 + 19*s - 14. Calculate the remainder when 168 is divided by h(-11).
16
Let b(i) = 3*i**2 - 2. Suppose 20 = -4*g - 2*v + 3*v, 0 = 5*v. Let j = -8 - g. Calculate the remainder when b(j) is divided by 9.
7
Let q(v) = -v**2 - 9*v - 1. Let w be (-7*(-2)/(-2))/1. What is the remainder when q(w) is divided by 5?
3
Suppose 6 = -t + 36. Calculate the remainder when 74 is divided by t.
14
Let s = 12 - 7. Suppose 0 = -s*i + 3*u, -i - 5*u = 2*i - 34. Calculate the remainder when 381/15 - i/(-5) is divided by 14.
12
Let l be 1*-1 - (6 + -5). What is the remainder when (-105)/(-3) + -2 + -1 is divided by ((-136)/(-16))/(l/(-4))?
15
Suppose 3*t = -0*t + 3*m + 12, -5*t + 20 = m. Let c(l) = l. Calculate the remainder when c(9) is divided by t.
1
Suppose 2*s + 0*s = -p + 2, -14 = -2*s + 2*p. Let x = 80 - 70. Calculate the remainder when x is divided by s.
1
Let x = -11 + 8. What is the remainder when 6 is divided by (x + 1)/(6 - 7)?
0
Suppose -4*z - 3*o + 330 = -264, 0 = 2*z - 2*o - 304. Let i = -90 + z. What is the remainder when i is divided by 16?
12
Let w(h) = 9*h - 2. Suppose b + 31 = 6*b - 4*c, 5*b - 2*c = 23. What is the remainder when w(b) is divided by 1 + 0/2 + 12?
12
Let n(v) = -7*v - 5. Let y be 4/6 + (-28)/(-12). Suppose b - y*b - 8 = 0. Calculate the remainder when n(b) is divided by 8.
7
Let m(j) = -j + 4. Let n be m(2). Calculate the remainder when 7 is divided by n/(-9) - 38/(-9).
3
Suppose r + 27 = 5*m - 2*r, -3*r = 12. Let q be (-1 - 1 - -2)*1. Suppose -f = -q*f - 4. Calculate the remainder when f is divided by m.
1
Let z = 2 + 5. Calculate the remainder when 11 is divided by z.
4
Suppose -h = -p - 17, 0*p = 4*h + 3*p - 96. Let i be 2/6*0 - 13. Let z = 24 + i. Calculate the remainder when h is divided by z.
10
Suppose -2*i - 2*i = 4, -5*i - 7 = 2*r. Let m(j) = j**2 - 2*j - 2. Calculate the remainder when 1*-1*(-1 + 0) is divided by m(r).
0
Let t(f) = -f + 41. Suppose -4*k - 2*o + 53 = o, -4*k + 60 = -4*o. Calculate the remainder when t(0) is divided by k.
13
Let l = -13 - -22. Let t be 2/6 + (-98)/(-3). Suppose 4*s - t = 71. What is the remainder when s is divided by l?
8
Suppose 5*k = 3*l - 40, 28 = 3*l + k - 0*k. Calculate the remainder when -50*(2/l + -1) is divided by 1/(1 - (-65)/(-70)).
12
Suppose -8*b = -4*b. Suppose -z = -b*z + f - 53, -z + 59 = -5*f. What is the remainder when z is divided by 28?
26
Suppose n + 3*n = 5*l + 52, -3*l = -2*n + 28. Suppose -3*y = -n - 28. What is the remainder when 21 is divided by y?
9
Suppose -95 = -2*x - 13. What is the remainder when x is divided by (-1 + 2)/(2/22)?
8
Suppose 0 = -3*d - d + 56. Let x = -2 + d. Suppose 5*j + 114 = 289. Calculate the remainder when j is divided by x.
11
Let j(r) = 2*r - 1. Suppose 2*u + 29 = c, -58 - 33 = -4*c + 3*u. Calculate the remainder when c is divided by j(3).
4
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