is divided by 3.
1
Let w(d) be the third derivative of d**5/60 - d**3/3 + 2*d**2. Calculate the remainder when w(-2) is divided by 2.
0
What is the remainder when 1/(-3)*3*1*-99 is divided by 20?
19
Suppose 0 = 2*k - 3*k + 3. Suppose 8 = 5*v - 7. Suppose -v - 12 = -3*x. What is the remainder when x is divided by k?
2
Suppose -4*a + 55 = a. Calculate the remainder when 59 is divided by -1 + 1 - (-220)/a.
19
Suppose -18 = -3*g + 24. Let k = 70 + -44. What is the remainder when k is divided by g?
12
Suppose -2*p - 4 = -6*p. Let s = 4 - p. Calculate the remainder when 10 is divided by s.
1
Let n(p) = -p**2 - 5*p. Let t be n(-5). Let m = 267 + -159. Suppose t = -d - 3*d + m. Calculate the remainder when d is divided by 14.
13
Let m = 22 - 16. Let t = 15 - 7. Let j(a) = 3*a - 8. Calculate the remainder when j(t) is divided by m.
4
Suppose -5*l + 6188 + 112 = 0. Calculate the remainder when 4/14 - l/(-49) is divided by (-17)/(-2) - 2/(-4).
8
Suppose 4*n - 21 - 27 = 0. Suppose -2*l + 110 = 3*l - z, 5 = z. What is the remainder when l is divided by n?
11
Let j = -10 - -14. Let q be 1/(3/(-2) - -2). Suppose -q*i + 9 = i. Calculate the remainder when j is divided by i.
1
Suppose -5*q = -137 - 23. Let h(p) = -p**2 + 7*p + 11. Calculate the remainder when q is divided by h(6).
15
Let n = -4 - -9. Let h = n - -2. Calculate the remainder when 17 is divided by h.
3
Suppose 4*y = 3*o - 0*o - 39, -o - 4*y = -13. Calculate the remainder when o is divided by 7.
6
Let c = -74 - -318. Suppose 3*h + h = c. Calculate the remainder when h is divided by 21.
19
Let q(z) = -7*z - 60. Calculate the remainder when q(-28) is divided by 35.
31
Suppose 2*w + k - 41 = 4, 42 = 2*w + 4*k. What is the remainder when 90 is divided by w?
21
Let r = -17 + -5. Let n = 45 + r. What is the remainder when 43 is divided by n?
20
Let s(y) = y**3 - 8*y**2 - 9*y. Let m be s(9). Let r = m - -13. Calculate the remainder when 38 is divided by r.
12
Let x = -96 - -123. Calculate the remainder when x is divided by 8.
3
Suppose -3*z = 4*v - 106, -z + 0 = -3*v - 57. Suppose 4*r + 0*n - z = -3*n, 0 = 5*r - n - 62. What is the remainder when 47 is divided by r?
11
Let f = 9 - 6. Suppose 2*v = 2*q, -v + 6*v = f*q + 8. Suppose 3*n - 6 = 0, 0*a + v*n + 72 = 5*a. Calculate the remainder when 31 is divided by a.
15
Suppose 0*d - d = 0. Calculate the remainder when 6 is divided by (0 - 0) + 2 + d.
0
Let k(n) = -n**3 - 7*n**2 + 6*n - 6. Let a = -2 - -2. Suppose a = -v + 3*z + 49, 0*z - 5*z + 91 = 3*v. Calculate the remainder when v is divided by k(-8).
7
Let b = 4 + 14. Suppose -v = -3*l - 57, 6*l - 3*l + 159 = 3*v. What is the remainder when v is divided by b?
15
Let x be (-11 - 1)/((-3)/2). Let u be (-9)/3*x/(-6). Let s = u - 2. What is the remainder when 2 is divided by s?
0
Calculate the remainder when 10 is divided by 385/133 + (-2)/(-19).
1
Let y = 19 - 6. What is the remainder when 23 is divided by y?
10
Let x = -7 - -12. Suppose -3*p - 6 = -4*c + 12, -7 = c + x*p. Suppose -3*h + c*v = -48, -33 = -3*h - 2*v + 5. Calculate the remainder when 26 is divided by h.
12
What is the remainder when 62 is divided by (-39)/(-2)*(-4)/(-6)?
10
Let t = -25 + 28. What is the remainder when 11 is divided by t?
2
Suppose 4*p - 68 = -0*p. Let u(f) = f**2 + 6*f + 9. What is the remainder when p is divided by u(-6)?
8
Suppose -b + 33 = 10*b. Calculate the remainder when 9 is divided by b.
0
What is the remainder when 82 is divided by (-392)/(-18) - (-4)/18?
16
Let m(v) = 16*v + 12. Let r(o) = -o - 1. Let j(b) = -m(b) - 5*r(b). What is the remainder when 75 is divided by j(-3)?
23
What is the remainder when (-120)/(-14)*(-14)/(-3) is divided by 15?
10
Let j(r) = -r**3 + 3*r + 68. What is the remainder when j(0) is divided by 18?
14
Calculate the remainder when ((-72)/(-30))/((-8)/(-60)) is divided by 5.
3
Let a(b) = 2*b - 7. Let r be a(6). Suppose -r*g + 24 = -31. What is the remainder when (2 + 0)*g/2 is divided by 6?
5
Suppose 6*o = -o. Let u(g) be the first derivative of g**2/2 + 20*g + 1. What is the remainder when 59 is divided by u(o)?
19
Let h = 123 + -87. Let i(v) = -19*v. What is the remainder when h is divided by i(-1)?
17
Suppose -3 - 57 = -3*u. Suppose -4*v = v - u. What is the remainder when 5 is divided by v?
1
Suppose -5*a + 29 = 5*g - 1, -8 = 2*a - 3*g. Suppose 21 - 3 = a*b. What is the remainder when b is divided by 4?
1
Suppose 2*d + 78 = 2*o + 4*d, d = -4*o + 141. Calculate the remainder when o is divided by 18.
16
Suppose 4*d - 5*m = -10, -3*m + 2 = -d - 4. Suppose d*x - 2*x - 3*c = -5, 5*x - 41 = 2*c. Calculate the remainder when 25 is divided by x.
4
Suppose 4*c - 119 = -51. Suppose 0 = -r + 5*v + 68, 0 = 2*v + 30 - 22. What is the remainder when r is divided by c?
14
Suppose 0 = -6*u + u + 75. Let z(g) = -36*g - 1. Let d be z(-6). Suppose 5*b - d = -0*b. What is the remainder when b is divided by u?
13
Let k = 6 + -6. Suppose -5*y = 2*z - 44, -3*y + 5*y - z - 23 = k. Calculate the remainder when y is divided by (-3)/(-6)*(9 + -1).
2
Calculate the remainder when 24 is divided by 3 + -3 + -2 - -7.
4
Suppose -m - 4*m + 41 = -2*f, 5*m + 11 = -2*f. Let i(t) = t**2 + 14*t + 19. Calculate the remainder when i(f) is divided by 4.
2
Suppose a + u = -4*a + 168, -5*a + 174 = -2*u. Calculate the remainder when 7 - 5 - (0 - a) is divided by 19.
17
Let h = -24 - -45. What is the remainder when (3 - 4048/(-52)) + (-12)/(-78) is divided by h?
18
Let w(o) = -o**3 + 6*o**2 - 7*o + 7. Let l be w(5). Let x(z) = z + 5. Suppose 4*b = 5 + 3. Calculate the remainder when x(l) is divided by b.
0
Suppose -10 = -4*b + 2*b. Suppose t = b*t - 176. Suppose x + t = 3*x. Calculate the remainder when x is divided by 12.
10
Let t(y) = y**2 - 5*y + 2. Let v be t(5). What is the remainder when v/(0 - -2) - -13 is divided by 8?
6
Let r = -25 - -36. Let k = r - 10. Suppose 0 = 4*s - 4. What is the remainder when s is divided by k?
0
Let x be ((-12)/(-10))/(12/200). Let w = 54 - x. Calculate the remainder when w is divided by 18.
16
Let k(o) = 6*o**2 + 2*o + 1. Let a be k(-1). Let x = 19 - a. What is the remainder when 27 is divided by x?
13
Suppose -40 = -4*l + 5*q, 2*l + 2*q = 3 + 35. What is the remainder when 28 is divided by l?
13
Let p = -10 + 14. Let g be 21/p*24/(-9). What is the remainder when 292/7 - 4/g is divided by 22?
20
Let f(j) = j + 6. Let b be f(-4). What is the remainder when (-3 + b)*(-78 + 1) is divided by 20?
17
Let h(i) = i**2 - i. Let f(u) = -2*u**3 + u**2 + 7*u + 7. Let w(g) = -f(g) - 6*h(g). What is the remainder when w(5) is divided by 16?
15
Suppose -3*m + 20 = -19. Calculate the remainder when 49 is divided by m.
10
Let z = 12 - 23. Let k(d) = -2*d - 13. Let x = 65 - 40. What is the remainder when x is divided by k(z)?
7
Let g(d) = -12*d - 2. Let k = 4 - 8. What is the remainder when g(k) is divided by 16?
14
Let i(f) = 2*f**2 - 4*f + 17. Calculate the remainder when 56 is divided by i(3).
10
Let k = -66 + 110. Let i = 23 + -8. What is the remainder when k is divided by i?
14
Let f(o) = 3 - 4*o**2 + 24*o**3 + 2*o**2 - 2. Suppose -l + 2*u + 4 + 6 = 0, -4*l = 4*u - 28. What is the remainder when f(1) is divided by l?
7
Suppose 2*k - l - 39 = 0, -l - 20 - 39 = -3*k. Calculate the remainder when k is divided by 3.
2
Let m = 73 + -65. Let o = 14 + 1. Calculate the remainder when o is divided by m.
7
Let n(y) = -y + 1. Let m be n(4). Let x = 3 - m. Calculate the remainder when x is divided by 4.
2
Let h = 16 + -18. Suppose 0 = 5*q - 0*q - 185. What is the remainder when q is divided by h + (3 - -1) + 17?
18
Let a = 1 + 8. What is the remainder when -5*1*(-8 - -3) is divided by a?
7
Suppose 2*j + c - 13 = 21, j - 5*c - 39 = 0. What is the remainder when j is divided by 7?
5
Suppose t + 2*n - 20 = 2, 3*t + 3*n = 57. What is the remainder when 29 is divided by t?
13
Let g(q) = -q**2 + 3*q - 5. Let f be g(-5). Let j = -32 - f. What is the remainder when j is divided by 5?
3
Let n = 30 + 1. Suppose -2*s - 84 = -4*c, 3*s = c + 5*s - n. Suppose b + i - c = -2*i, 3*i + 45 = 3*b. What is the remainder when 50 is divided by b?
16
Let d = -30 + 80. Suppose m - k - d = -4, -10 = 5*k. Suppose s - 3*q - 24 = 0, s = -4*s + 2*q + 81. What is the remainder when m is divided by s?
14
Suppose -5*i - 4*n + 52 = 0, 4*i - 3*n = n