0 = 3*c + s*a + 2*a - 5, 2*a = -5*c + 13. Suppose 42 = c*r - 0. Calculate the remainder when r is divided by 8.
6
Let h(a) = a + 4. Calculate the remainder when 51 is divided by h(9).
12
Calculate the remainder when (156/9)/(2/3) is divided by 7.
5
Let f(n) = 6*n. Let r be f(1). Calculate the remainder when ((-6)/3)/(r/(-45)) is divided by 4.
3
Suppose 3*i = 10 + 17. Suppose 6*j - j - 25 = 0. Calculate the remainder when i is divided by j.
4
Let p(m) = 3*m**2 - 4*m - 3. Calculate the remainder when p(4) is divided by 10.
9
Let k(w) = -6*w - 21. Calculate the remainder when 7 is divided by k(-4).
1
Let i(x) be the second derivative of x**3/6 + 7*x**2/2 - 3*x. Let f(o) = -o + 3. Calculate the remainder when f(2) is divided by i(-6).
0
Let j = 4 - 9. Calculate the remainder when 47 is divided by (-82)/(-5) - (-2)/j.
15
Let r = 39 - 34. Suppose -2*q + 4*u + 30 = 0, 2*q - 2*u - 19 = 15. What is the remainder when q is divided by r?
4
Suppose -d + 330 = 99. What is the remainder when d is divided by 39?
36
Suppose 86 = -2*g + 4*g. Let t(x) be the second derivative of -2*x**3/3 + 3*x**2/2 + x. Calculate the remainder when g is divided by t(-3).
13
What is the remainder when 516/15 + 2/(-5) is divided by 18?
16
Let i(l) = -l**3 - 2*l**2 + 2*l - 1. Let t be i(-3). Suppose -2*y + 2 = -t. What is the remainder when 2 is divided by y?
0
Suppose 0 = -66*m + 69*m - 216. Calculate the remainder when m is divided by 19.
15
What is the remainder when 90 is divided by (-4)/10 + (-2)/(10/(-117))?
21
Let z = 102 + -39. What is the remainder when z is divided by 22?
19
Let h(m) = 4*m**2 + 2. Calculate the remainder when h(3) is divided by 13.
12
Calculate the remainder when 42 is divided by 44/(-8)*-1*4.
20
Suppose 0*w = -7*w + 217. Calculate the remainder when w is divided by 14.
3
Suppose 6 = -c + 2*c. Let y = c - -5. Let x = 13 - 9. What is the remainder when y is divided by x?
3
Suppose d - 7 + 1 = 0. What is the remainder when ((-30)/(-21))/((-2)/(-14)) is divided by d?
4
Suppose -4*t - 4*a + 56 = 0, -3*t + a + 51 = 5. Let i = 4 + 3. What is the remainder when t is divided by 58/7 + (-2)/i?
7
Suppose -6*i + 13 = -5*i. Calculate the remainder when i is divided by 4.
1
Let j(p) = -p**2 + 11*p + 6. Let l(h) = -2*h - 9. Let o be l(-10). Calculate the remainder when 17 is divided by j(o).
5
Calculate the remainder when (-3)/5 + 872/20 is divided by 9.
7
Let a = -5 + 8. What is the remainder when 69 is divided by 20 + -3*2/a?
15
Suppose 54 = 6*b - 4*b. Let y = b + -24. Calculate the remainder when 11 is divided by y.
2
Suppose 0 = -3*y + 3 + 3. Suppose 54 = y*s + 5*a, -5*s + 45 = 2*a - 48. What is the remainder when s is divided by 5?
2
Let s(t) = t**3 - t**2 + 5. Suppose -g = -2*g + 13. Calculate the remainder when g is divided by s(0).
3
Let v(p) = 3*p - 4 + 2*p + 10 + p**2. What is the remainder when 46 is divided by v(-6)?
10
Let m(n) = n**2 - n - 4. Let f be m(3). Suppose -p = 4*w - 40, -p = p - f*w - 110. What is the remainder when p is divided by 18?
16
Suppose -6*z + 40 = -2*z. Let g = 14 - z. What is the remainder when g is divided by 2?
0
Let j(f) = -2*f - 4. Let k be j(-3). Suppose -2 = -k*c + 20. What is the remainder when 43 is divided by c?
10
Let r = 4 + 3. Let d(x) be the third derivative of -x**6/120 + x**5/10 + 5*x**4/12 - 5*x**3/3 - x**2. Calculate the remainder when 21 is divided by d(r).
10
Let a = -13 - -25. What is the remainder when 22 is divided by a?
10
Suppose 3*q + 27 = -3*g, 3*q + 6 = 5*g - g. Let p = 10 + q. Suppose -4*u = -5*f, 4*f = 5*u - p*u + 11. What is the remainder when 7 is divided by f?
3
Let w(x) = -x + 8. Suppose 0*o = 2*d + 5*o - 23, 6 = 3*d - 2*o. Suppose d*v + f = 67, -5*f - 1 = -2*v + v. What is the remainder when v is divided by w(2)?
4
Suppose -4*f + 115 = 3*p, 0*p + 45 = f + 4*p. Let h = 305 + -256. What is the remainder when h is divided by f?
24
Let q = 10 + -4. Let z be (-9)/(-6)*(0 + 2). Let n = z - -20. Calculate the remainder when n is divided by q.
5
Let g(a) = 13*a**2. What is the remainder when 23 is divided by g(-1)?
10
Suppose 0*b - 5*q = b - 15, 30 = 4*b + 5*q. Suppose -11 = -i + b. Suppose 2*w + 9 = h + w, 3*h + 4*w = 6. What is the remainder when i is divided by h?
4
Suppose 0*u + 2*u + 4 = 0. What is the remainder when 50 is divided by (-1)/(u/(-68)*-2)?
16
Suppose -b = 4*g - 26, 3*g - 5*b - 17 = 2*g. What is the remainder when 12 is divided by g?
5
Suppose 2*w + k = -k + 12, -5*w + 4*k = 6. Suppose -5*p = -3*t + 2, -9 = -w*p - 4*t + 11. What is the remainder when 6 is divided by p?
0
Suppose -5*d = -f + 13 - 104, -5*f - 37 = -3*d. What is the remainder when 28 is divided by d?
9
Suppose 0 = 3*r - 47 + 8. Calculate the remainder when 50 is divided by r.
11
Let p = -58 + 88. Calculate the remainder when p is divided by 16.
14
Suppose -3*j + 5*l = -24 - 14, 0 = -2*j + 5*l + 32. What is the remainder when 44 is divided by j?
2
Let p(m) = 3*m**3 - 3*m**2 - m + 2. What is the remainder when p(2) is divided by 7?
5
Let t = 39 - 30. Calculate the remainder when 33 is divided by t.
6
Let p(u) = 5*u + 28. What is the remainder when 94 is divided by p(4)?
46
Let x(f) = f**2 - 6*f - 1. What is the remainder when x(-2) is divided by 1*9 + 2 + -3?
7
Calculate the remainder when 58 is divided by (-6)/(-12)*-45*(-6)/9.
13
Suppose 2*a = 108 + 90. Calculate the remainder when a is divided by 17.
14
Suppose -1 = 4*c - 121. Calculate the remainder when c is divided by 15/1 - (1 - 2).
14
Let j(x) = -2*x**3 + x**2 - x + 1. Let d be j(1). Let p(v) = 9*v**2 + v + 1. What is the remainder when 34 is divided by p(d)?
7
Let j(t) = -t**3 + 3*t**2 - 2*t + 3. Let z be j(2). Let x = 61 - z. What is the remainder when x is divided by 15?
13
Suppose 0 = -3*i - 0*i + 9. Let f = i + -1. Suppose 3*r + 20 = f*a, 0 = -4*a - 0*r - 3*r + 4. What is the remainder when 11 is divided by a?
3
Suppose -5*o + 80 = -5*q + 4*q, -5*q - 26 = -3*o. Let f = o + -14. Calculate the remainder when 4 is divided by f.
1
Let r(y) = y**2 - 9. Calculate the remainder when 11 is divided by r(4).
4
Suppose 0 = 4*i - 58 - 190. Calculate the remainder when i is divided by 32.
30
Let y(o) = 8*o + 4. Let s be y(3). Suppose -3*a + s = -137. Calculate the remainder when a is divided by 19.
17
Suppose -g + 72 = g. What is the remainder when g is divided by 67/5 + 12/(-30)?
10
Suppose -5*y - 5*a = -165, 0 = 5*y + 2*a - 6*a - 183. What is the remainder when y is divided by 12?
11
Let v = 67 - 38. Let n = 27 - 12. Calculate the remainder when v is divided by n.
14
Let s be (-1)/4 + (-45)/12. Let w(p) = -p**2 - 5*p. Let i be w(s). Suppose -i*d - 3*n = -0*n - 71, 3*n - 1 = d. What is the remainder when 40 is divided by d?
12
Let t = -75 - -129. Let i be 6/(-4) + t/12. Suppose 0 = 3*k + h - 82, -15 + 133 = 5*k - i*h. What is the remainder when 51 is divided by k?
25
Let f be 5/2 - (-4)/(-8). Suppose -f*c + 138 = c. Suppose 3*l - 6 = 0, -2*y + c = 2*y + l. Calculate the remainder when 32 is divided by y.
10
Let o(v) = 2*v - 2. Suppose -2*z + 7*z = 15. Calculate the remainder when o(3) is divided by z.
1
Let u = 43 - 93. Let d = u + 86. What is the remainder when d is divided by 13?
10
Let r(y) = y**3 + 9*y**2 + 7*y + 10. What is the remainder when 67 is divided by r(-8)?
13
Let h = -28 - -72. What is the remainder when h is divided by 23?
21
Suppose -3*r + 20 = 2*r. Suppose -r*d - 14 = -6*d. Let t(b) = 3*b**3 - 4*b + 3. Calculate the remainder when t(2) is divided by d.
5
Let c(f) = 23*f - 3. Let b(x) = 8*x - 1. Let z(q) = 11*b(q) - 4*c(q). Let i be z(1). What is the remainder when (74/3)/((-2)/i) is divided by 13?
11
Let z be (28/(-16))/(5/(-140)). Suppose -2*b + c + z = 0, -5*b + 76 + 48 = -c. Suppose -2*h = h - 144. What is the remainder when h is divided by b?
23
Let v = -16 + 25. Suppose -3*p = 2*p - 130. What is the remainder when p is divided by v?
8
Let p(i) = -i**2 - 12*i - 3. Let x be p(-12). Calculate the remainder when 4/x*21/(-14) is divided by (-1)/(-3)*(1 - -2).
0
Calculate the remainder when 50 is divided by -1 + (-4 - -1) + 30.
24
Let q = 40 + -23. What is the remainder when 50 is divided by q?
16
Let p be 14/6 + 8/12. Suppose -6 = -0*q + p*q. Let y = q - -7. What is the remainder when y is divided by 2?
1
Suppose 3*z - 144 = -4*a - 42, z - 50 = -2*a. Sup