d is divided by y.
7
Calculate the remainder when 578/14 + (-10)/35 is divided by 21.
20
Let n(x) be the third derivative of -x**5/60 + x**4/3 - x**3/3 - 4*x**2. What is the remainder when 36 is divided by n(5)?
10
Suppose 4*m = -4, -m + 2 = -o - 6*m. Let k(j) = 0*j**2 - 4*j - 1 + 0*j + 2*j**2. Calculate the remainder when k(o) is divided by 3.
2
Suppose -c = -r + 1 - 3, -5*c = -20. Calculate the remainder when -1 - (1*-2 - 1) is divided by r.
0
Let a = 80 + -50. Calculate the remainder when a is divided by 16.
14
Suppose 2*l + v + 3 + 25 = 0, 4*v = 5*l + 70. Suppose -2*j = 3*j - 15. Calculate the remainder when ((-5)/(-5))/((-2)/l) is divided by j.
1
Let y(w) be the second derivative of w**4/3 - w**3/6 - w. Suppose -6 = 5*a - 7*a. Calculate the remainder when y(-1) is divided by a.
2
Suppose 2*d = -0*d - 32. Let j = 26 + d. What is the remainder when j is divided by 3?
1
Suppose -5*q + 14 + 71 = 0. Suppose -4*s + 4*w = -0*s + 20, -4*s = -2*w + 10. Suppose 4*a - 2*a - 100 = s. What is the remainder when a is divided by q?
16
Let p(z) = 5*z - 1. Calculate the remainder when 297/12 - (-1)/4 is divided by p(2).
7
Let b(t) = t**3 + t**2 + 43 - 2*t**3 + 0*t**3. Suppose 0 = -0*h + 2*h. Calculate the remainder when b(h) is divided by 15.
13
Calculate the remainder when -4 + 46 - (-2 - -2) is divided by 15.
12
Suppose 6*b = b - x + 36, 52 = 4*b - 5*x. Suppose -f = 4*f - 145. Calculate the remainder when f is divided by b.
5
Let k(l) = -7*l - 11. Calculate the remainder when 69 is divided by k(-5).
21
Suppose -4 + 15 = m. Calculate the remainder when 63 is divided by m.
8
Suppose j - 5*m - 2 = -2*m, -5*j = -3*m - 34. Calculate the remainder when j is divided by 3.
2
Let h = -16 - -23. What is the remainder when 0 + 2 - 1/((-1)/11) is divided by h?
6
Suppose -3*l + 104 = l. Suppose 25*o - 70 = 20*o. Calculate the remainder when l is divided by o.
12
Let f = 119 + -81. Let i(k) be the second derivative of k**5/2 - k**3/6 + k**2/2 + 3*k. What is the remainder when f is divided by i(1)?
8
Let x(h) = h**3 + 7*h**2 + 1. Let q be x(-7). Let f = 1 + q. Suppose -f = -2*m + 18. What is the remainder when m is divided by 4?
2
Suppose 0 = z + x - 5*x + 8, 5*x - 7 = 2*z. Let w = z + -1. Calculate the remainder when (0 + -1)/((-1)/7) is divided by w.
1
Suppose 0 = -10*v + 6*v - 60. Calculate the remainder when (-10)/2*9/v is divided by 3.
0
Calculate the remainder when 99 is divided by 2/3 - 219/(-9).
24
Suppose -n - 4*q + 48 = n, -81 = -3*n + 3*q. Suppose 4*w + 23 = 3*t, -16 = -0*t - 2*t + 2*w. Calculate the remainder when n is divided by t.
8
Let o = 69 + -28. What is the remainder when 120 is divided by o?
38
Let z = 137 + -128. What is the remainder when 17 is divided by z?
8
Suppose 2*x = 5*o + 190, x = -2*o + 66 + 20. Suppose d + x = 4*d. Calculate the remainder when d is divided by 8.
6
Let k = -8 - -10. Suppose -k*y + 16 = 3*t, 5*y - y - t - 4 = 0. Suppose 3*g + 0*j - j = 13, 3*g - 10 = -y*j. Calculate the remainder when 10 is divided by g.
2
What is the remainder when 82 is divided by 4 - 10/3 - 19/(-3)?
5
Suppose -y - 34 = -41. Calculate the remainder when 47 is divided by y.
5
Let m(p) = 4*p + 0*p**2 + 3*p + p - 6 - p**2. What is the remainder when m(5) is divided by 6?
3
Let k be (-3)/((27/(-6))/(-3)). Suppose -4*l + 7 = -25. What is the remainder when (0 + -69)*k/6 is divided by l?
7
Suppose 3*j = 2*l + 21, -6 = -0*j + j - 5*l. What is the remainder when 26 is divided by j?
8
Let h = 51 - 14. What is the remainder when h is divided by 19?
18
Let j = 658 + -431. Suppose -j = -5*d + m, 2*d = -3*m + 65 + 36. Calculate the remainder when d is divided by 16.
14
Let w(r) = -r**3 + 3*r**2 + 4*r**2 - 10 + 0*r**3 + r. Let f be w(7). Calculate the remainder when ((-6)/(-4))/(f/(-16)) is divided by 5.
3
Let w = 33 - 18. Calculate the remainder when 29 is divided by w.
14
Let b = -1 + 5. Suppose b*w - 210 = 26. Calculate the remainder when w is divided by 15.
14
Suppose -2*p - y + 6 = 0, -6*y + 2*y = 8. Suppose 12 = p*x - 24. What is the remainder when 26 is divided by x?
8
Let i(z) = 3*z**2 + 3*z - 3. Let h be i(2). Let c = 2 + h. Calculate the remainder when c is divided by 2 + 1 - (2 - 4).
2
Let f = -128 + 142. Calculate the remainder when 51 is divided by f.
9
What is the remainder when (-1)/5 + (-1284)/(-20) is divided by 3/2*(-44)/(-3)?
20
Let o(d) = -d**2 - 10*d + 14. Suppose 0*s = 4*c - s - 9, -4*s = -12. What is the remainder when o(-11) is divided by c?
0
Let g(b) = b**3 + 7*b**2 + 5*b. Calculate the remainder when g(-4) is divided by 5/((-2)/(-2 - 2)).
8
Suppose 5*u = 3*q - 22, 2*q = 4*q - 3*u - 14. Suppose -5*d + n + 90 = 2*n, d - 18 = -q*n. Calculate the remainder when d is divided by 5.
3
Let g(u) be the third derivative of -u**6/120 + u**5/10 - 5*u**4/24 + u**3 - 4*u**2. Let c = 7 - 5. Calculate the remainder when g(5) is divided by c.
0
Suppose -59 + 11 = 3*m. Let h = -15 - m. Suppose -2*g = 4*n + 2, 2*n = -5*g + 3*n + 17. Calculate the remainder when g is divided by h.
0
Let l = 17 + -12. Let m = l + 5. Let q = -5 + m. Calculate the remainder when q is divided by 2.
1
Suppose 5*g - 2*h + 0*h = 3, 3*g + 3*h - 6 = 0. Suppose 81 + 11 = 4*u. What is the remainder when u is divided by (-25)/(-3) + g/(-3)?
7
Let f(z) = -4*z + 5*z - 5*z + z - 16. Calculate the remainder when f(-12) is divided by 7.
6
Let f(t) = -4*t + 4. Let l be f(-3). Suppose r - l = -m, -4*m = m + 4*r - 81. Calculate the remainder when 32 is divided by m.
15
Let p = 5 - -25. What is the remainder when 118 is divided by p?
28
Suppose 5*j = -2*p + 25, -5*j = -7*p + 4*p - 50. What is the remainder when 20 is divided by j?
6
Let h = 10 - 8. Suppose -31 = -3*d + h*z, -4*z + 8 = 2*d + z. Calculate the remainder when 26 is divided by d.
8
Suppose -10*z + 6*z + 12 = 0. What is the remainder when 11 is divided by (-28)/8*(1 - z)?
4
Let s(p) = p**3 + 27*p**2 - 2*p - 38. What is the remainder when 43 is divided by s(-27)?
11
Let l = -45 - -58. Suppose -6*t = -t - 245. Calculate the remainder when t is divided by l.
10
Suppose 0*r = 3*r - 114. What is the remainder when ((-6)/(-12))/(1/r) is divided by 7?
5
Let u(w) = w**2 + 7*w - 5. Calculate the remainder when u(-9) is divided by (-6)/8 + (-138)/(-24).
3
What is the remainder when -6 + 4 + 0 + 120 + -3 is divided by 39?
37
Let y = -11 - -14. Suppose 0 = y*k + k - 60. What is the remainder when 44 is divided by k?
14
Suppose 82 = 4*t - 18. What is the remainder when 72 is divided by t?
22
Suppose -384 + 159 = -5*d. Calculate the remainder when d is divided by 16.
13
Let d = -13 + 14. Calculate the remainder when 30 is divided by d/(40/(-44) - -1).
8
Let v(f) = -5*f + 7. Let s be v(7). Let p = 39 + s. Suppose 3*k - 4*z - 22 = 0, 0 = -3*z - 5 + 2. Calculate the remainder when p is divided by k.
5
Suppose -3 = -z + 2. Suppose -4*y = z*c - 9, 0 = -y + 3*y + 8. Calculate the remainder when 8 is divided by c.
3
Let y(b) = -b**3 + 4*b**2 + 11*b + 12. What is the remainder when 7 is divided by y(6)?
1
Let f be (-2 + -2)/(1/(-41)). Suppose 5*j = -5*r + 50, r - 26 = -j + 4*j. What is the remainder when 34 is divided by 4/r + f/14?
10
Let m(w) be the third derivative of w**6/120 - 7*w**5/60 - w**4/6 - w**3/2 - w**2. What is the remainder when m(8) is divided by 10?
9
Let j = 29 - 9. Suppose -22 = -3*l + 4*v + 22, 2*l = 3*v + 30. Calculate the remainder when j + (-2)/(2 - 3) is divided by l.
10
Suppose y = 4*y - 129. Let f be 8/5*45/6. Let z = 27 - f. What is the remainder when y is divided by z?
13
Suppose 4*h + 5*v = 71, -4*v = -2*h + 107 - 39. Calculate the remainder when 117 is divided by h.
21
Suppose 3*l + 74 = 2*p, -5*p + 110 + 65 = -5*l. Let r = -6 + 22. What is the remainder when p is divided by r?
15
Suppose 85 = -0*h + 5*h - 4*v, -4*h + 4*v + 64 = 0. What is the remainder when 57 is divided by h?
15
Suppose -132 = -17*w + 5*w. Calculate the remainder when w is divided by 2.
1
Suppose 1 = -4*w - 3. Let j be 1 + (-18)/(-2 + w). Suppose -2*a = -1 + j, 12 = 3*g - 2*a. Calculate the remainder when g is divided by 1.
0
Let g(q) = -q**3 + 11*q**2 - 18*q. Calculate the remainder when 141 is divided by g(8).
45
Suppose -f + d = 2*f - 48, 33 = 2*f - d. Calculate the remainder when 26 is divided by f.
11
Suppose -3*o + 8 = -7. Let n be 2/(-2 + 12/o). Su