 the remainder when 18 is divided by f?
4
Suppose -38*f + 41*f - 63 = 0. What is the remainder when 62 is divided by f?
20
Suppose -5*j + 4*j + 1 = 0. Let r(o) = 5*o - 2. Calculate the remainder when 10 is divided by r(j).
1
Suppose -9 = -5*n + 11. Calculate the remainder when 17 is divided by n.
1
Suppose -3*g - 3*b = 30, -3*g + 30 = -7*g - 2*b. Let k(t) = -25*t - 5. Let p be k(g). Suppose -2*q + p = 2*q. What is the remainder when q is divided by 16?
14
Let z(i) = 9 - 10*i - 10*i**2 + 4*i**3 - 2 - 3*i**3. What is the remainder when z(11) is divided by 5?
3
Let s = -188 + 264. What is the remainder when s is divided by 13?
11
Suppose 2*p + 5*l = -0*l + 12, 2*p + 4*l = 12. Let s be 24/p*2/4. Calculate the remainder when s/(-3 - (-231)/75) is divided by 9.
7
Suppose -5*b - 25 = 5*g, -3*g + 2 + 7 = 0. Calculate the remainder when 31 is divided by b/(-5)*(0 - -10).
15
Let f(m) = m**3 - 12*m**2 + 37*m - 8. Suppose -2*b = -b - 5*p - 2, -3*p + 12 = 0. Calculate the remainder when b is divided by f(7).
4
Let s = 0 - 2. What is the remainder when (s - (-4 + 3))*-11 is divided by 6?
5
Let g(r) = -r**3 - r**2 + r - 5. Let v = -26 + 46. Calculate the remainder when g(-4) is divided by v.
19
Suppose 23 = -4*x - 13. Let b(s) = 5*s**3 - 12 - 7*s**3 + 9*s**2 - 5*s + 3*s**3. Calculate the remainder when b(x) is divided by 17.
16
What is the remainder when 29 is divided by 26/3 - (-2)/(-3)?
5
What is the remainder when (-4)/(-18)*36/6*24 is divided by 11?
10
Suppose 2*f = f + 4. Suppose 0 = -n - f*n + 50. Calculate the remainder when 18 is divided by n.
8
Let a = -40 - -58. Calculate the remainder when 35 is divided by a.
17
Let r(h) = 3*h**2 - 8*h + 4. Calculate the remainder when 251 is divided by r(6).
59
Suppose c + 13 = 4*a - 63, a = -3*c + 32. Calculate the remainder when 78 is divided by a.
18
Suppose 0*z - 23 = -5*y + 3*z, 3*y + 5*z = 7. Calculate the remainder when 8*((-7)/(-4) + -1) is divided by y.
2
Let b = 367 - 344. Let k(n) = n + 13. What is the remainder when b is divided by k(0)?
10
Let n(v) = -v**2 - 4*v - 2. Let a be n(-2). Let m be 2/(a + -4) + -2. What is the remainder when 10 is divided by 1 + (-3 - m) + 3?
2
Let s(p) = -7*p - 31. Calculate the remainder when s(-14) is divided by 18.
13
Suppose 4*g = -g. Suppose -x + 41 + g = 0. What is the remainder when x is divided by 11?
8
Suppose -4*w + z + 2 = -13, -w - 3*z = 6. Suppose -v - w*v = 0. Suppose v = 3*q - 69 + 21. What is the remainder when q is divided by 6?
4
Let t(z) be the second derivative of -1/6*z**3 + z + 0 - 3/2*z**2 - 1/20*z**5 + 5/12*z**4. What is the remainder when 24 is divided by t(4)?
6
Let k be ((-16)/6 - -2)*-6. Suppose -11 + 3 = -k*h. Suppose -r - 5 = -h*r + 2*f, 2*f - 2 = 0. Calculate the remainder when 20 is divided by r.
6
Let p(t) = 14*t - 2. Calculate the remainder when p(2) is divided by 10.
6
Let l(u) = 3 + 3*u + 2*u - 5*u + 5*u. Suppose 4 = -0*r - r, 16 = 2*d + 2*r. Calculate the remainder when l(4) is divided by d.
11
Suppose 0 = -h - 9 - 12. Let y = h + 43. Suppose y = 5*k - 13. What is the remainder when 12 is divided by k?
5
Let a = 3 - 3. Let s(p) = p + 15. Let i(x) = -x - 16. Let h(r) = 5*i(r) + 6*s(r). Calculate the remainder when h(a) is divided by 4.
2
What is the remainder when 13 is divided by (-33)/(-5) + (-2)/(-5)?
6
Calculate the remainder when (-57)/(-4)*(-16)/(-6) is divided by (2 + -1)/((-1)/(-10)).
8
Suppose 2*t + 4*r + 5 = 3*t, -3*t + 15 = 5*r. Suppose -16 = -4*h - q + 5*q, -16 = -4*h - t*q. Calculate the remainder when 14 is divided by h.
2
Let u be (186/(-9) + 3)*-3. Let p = -28 + u. What is the remainder when p is divided by 13?
12
Suppose 4*c = 4*f - 76, -6*c - 80 = -4*f - c. What is the remainder when 51 is divided by f?
6
Let y(l) = 65*l + 1. What is the remainder when y(1) is divided by 34?
32
Let h = 107 - 70. Let y = h - 23. What is the remainder when 40 is divided by y?
12
What is the remainder when ((-2)/(-4))/(10/180) is divided by 11 + -11 + 1 + 2?
0
Let m(u) = 4*u + 6. Let y be m(-4). Calculate the remainder when (6/(-10))/((-3)/75) is divided by (12/y)/((-9)/30).
3
Let z(v) = v**3 + 12*v**2 - 4*v - 2. Let u = -13 - -1. What is the remainder when z(u) is divided by 16?
14
Suppose 2*c = -3*c - 510. Let j = -65 - c. What is the remainder when j is divided by 19?
18
Let p = 9 - 5. Suppose -j + 2*j - p*g - 1 = 0, 2*j - 5*g = -4. Let d = j + 17. What is the remainder when 18 is divided by d?
8
Suppose -2*d + 0*d = -718. Let i = d - 242. Calculate the remainder when i is divided by 30.
27
Suppose -50 = -5*p - t, 13 = 5*p + 3*t - 27. What is the remainder when (84/(-10))/(2/(-5)) is divided by p?
10
Let s = 7 + 26. What is the remainder when 119 is divided by s?
20
Let v be 2/((-2)/5)*-3. Let m = v - 5. Suppose -4*y = -5*k + 18, 0*y - 21 = -3*k - y. What is the remainder when m is divided by k?
4
Let u = -62 + 104. Let l = u - 21. What is the remainder when 82 is divided by l?
19
Let g be (-8)/(-52) + (-791)/(-13). Suppose g = 5*f + 2*d, -f = 2*d - 3 - 14. Calculate the remainder when f is divided by 3.
2
Suppose 0 = -0*p - 2*p. Suppose g - 7 = -p*g. Let f(r) = -r**2 + 7*r + 1. What is the remainder when f(4) is divided by g?
6
Let h be (-2 - 1) + 0 - -4. Calculate the remainder when 19 is divided by 10/(-4)*(h + -3).
4
Suppose -2*b + 3*r - 16 = -r, 0 = -2*b - r + 9. Calculate the remainder when 4/(b/(-24)*-2) is divided by 13.
11
Let d = 18 - 8. Let q = 0 - -6. What is the remainder when d is divided by q?
4
Calculate the remainder when 123 is divided by ((-6)/4)/((-24)/224).
11
Suppose 3*g + g = -44. Let x = -1 - g. Suppose x = 3*m - 2*i, 4*m + 4*i - 40 = -0*m. Calculate the remainder when 16 is divided by m.
4
Let y = -5 + 8. Suppose 2*l - 4*z = -0*z + 30, 0 = y*l + 2*z - 37. What is the remainder when l is divided by 8?
5
Suppose -5*u - 4 + 24 = 0. Let j(q) = 3*q - 5. What is the remainder when j(5) is divided by u?
2
Suppose 17 = -2*l + 1. Let x = 10 + l. Suppose -m - 3*m + 33 = 3*i, -i = x*m - 13. What is the remainder when 12 is divided by i?
5
Suppose 2*y - 2*g + 4*g = 64, 3*g = 0. What is the remainder when y is divided by 7?
4
Let x(r) be the first derivative of -r**2/2 + 5*r + 3. What is the remainder when 29 is divided by x(-5)?
9
Let h be (2 + 2 - -1)*1. Suppose h*q = 20 + 10. What is the remainder when 22 is divided by q?
4
Let p(i) = 11*i**3 + i**2 - 1. What is the remainder when 54 is divided by p(1)?
10
Suppose 3*y = 3*q - 2*q - 7, y = -4. Let f = q - -8. What is the remainder when 8 is divided by f?
2
Let w = -10 - -33. Calculate the remainder when 87 is divided by w.
18
Calculate the remainder when 10/(((-3)/15)/(24/(-20))) is divided by 16.
12
Let f = -11 + 26. Let v = f + 33. Suppose 2*d - v = -2*d. What is the remainder when 35 is divided by d?
11
Let j = -49 + 54. Let k = 1 - -1. Suppose 4*i - k*p - 78 = 0, 9 = -3*p - 0*p. What is the remainder when i is divided by j?
3
Suppose f = -4*f + 40. Calculate the remainder when 21 is divided by f.
5
Let q = -7 + -13. What is the remainder when ((-30)/8)/(5/q) is divided by 8?
7
What is the remainder when ((-2)/(-12) + 68/24)*36 is divided by 55?
53
Suppose -20 = -0*b - 4*b. Suppose -4*s = -b*s + 35. What is the remainder when s is divided by 18?
17
Let g be (-1*(-3 - -1))/1. Let b = g - -1. Calculate the remainder when 10 is divided by b.
1
Let t(c) = -c**3 + 9*c**2 + 4*c + 6. Let o be t(9). Suppose 0 = 3*g - g - o. Calculate the remainder when 39 is divided by g.
18
Let j(t) = -t + 9. Calculate the remainder when 64 is divided by j(-4).
12
Let n(i) = 2*i**3 - 4. Calculate the remainder when 46 is divided by n(2).
10
Suppose 3*n - 128 = -4*l, 3*n + 0*n = 4*l + 88. What is the remainder when n is divided by 13?
10
Suppose -3*l + 3 = -9. Suppose -y = -l*g - 4*y + 1, -3 = -2*g - y. What is the remainder when 30/g*(-12)/(-6) is divided by 8?
7
Suppose -4*i + 17 = 4*v - v, -4*i = -4*v + 4. Let w = 23 - i. Suppose 4*h - 129 - 115 = 0. What is the remainder when h is divided by w?
19
Suppose 0 = 3*v - 8*v - 3*d + 26, -3*v - 5*d = -22. Suppose v*g + 2 - 58 = 0. Calculate the remainder when 26 is divided by g.
12
Suppose -2*o - 2*o - 3*g + 122 = 0, -2*o + 4*g + 50 = 0. What is the remainder when o is divided by 4?
1
Suppose 5*a = 4*j - 6 + 18, 3*a - 10 = j. Let q be (1/(-2)