 What is the remainder when 49 is divided by p?
10
Let b(y) = y - 11. Let n be b(11). Suppose -a + 36 + 13 = n. Calculate the remainder when a is divided by 17.
15
Suppose -7*o + o + 72 = 0. Calculate the remainder when 57 is divided by o.
9
Suppose -5*w = -2*q - 436, 2*q = 4*w - 3*q - 359. Suppose 0*j - 3*j + r + w = 0, -121 = -4*j - 5*r. What is the remainder when j is divided by 8?
5
Suppose 95 = 8*z - 3*z. What is the remainder when 55 is divided by z?
17
Let w = 5 + -3. Let m be (w - 2)*(-3)/6. Suppose 5*u + 4*q + m*q = -2, -2*u + 7 = -q. Calculate the remainder when u is divided by 1.
0
Let k = -54 - -79. Calculate the remainder when 48 is divided by k.
23
Let l be (-6)/15 + 7/5. Let a be l + 1 - 0/4. Suppose o = a*o - 4. What is the remainder when 14 is divided by o?
2
Suppose z + 4*z - 175 = -i, 5*z - 195 = 3*i. What is the remainder when 214 is divided by z?
34
Let s = -2 - 0. Let w(p) = p**2 + 1. What is the remainder when 9 is divided by w(s)?
4
Let y(o) = o**2 + 5*o + 2. Let r be y(-7). Suppose -3*i + 40 = r. What is the remainder when 15 is divided by i?
7
Let w = -26 - -16. Calculate the remainder when w/(-6)*3 + 2 is divided by (-2)/9 + (-141)/(-27) - 0.
2
Calculate the remainder when 64 is divided by -2 + 981/27 + 2/(-6).
30
Suppose u = 3*v - 12, -5*u = 3*v - 0*v - 12. What is the remainder when 12 is divided by v?
0
Suppose -5*n + 8*n = 9. Calculate the remainder when 5 is divided by n.
2
Suppose -5*u + 0*k + 3*k = -163, 0 = 4*u + 2*k - 126. Calculate the remainder when u is divided by (-1)/(((-6)/(-51))/(-2)).
15
Let k be 7 + 4 + 1 + -4. Suppose -3*b = 3*d + 9, 4*d + b + k = -2*b. Let a = 4 - d. Calculate the remainder when 3 is divided by a.
0
Let t(x) be the first derivative of x**3/3 + 2*x**2 - 5*x - 2. Let i be t(-7). Calculate the remainder when ((-14)/4)/((-1)/i) is divided by 19.
18
Let j = 23 + 78. Calculate the remainder when j is divided by 13.
10
Let s = -26 + 36. Let g = s - 7. Calculate the remainder when 10 is divided by g.
1
Suppose 5*v + 10 = o - 2*o, 3*v = o - 30. Calculate the remainder when 36 is divided by o.
6
Suppose 3 = -0*i + i. Calculate the remainder when (-46)/(-6) - (-2 + (-72)/(-27)) is divided by i.
1
Suppose -5*a + 22 = 2*n, -2*a + 3*a - 5*n + 1 = 0. Let g(z) = -z**3 + 8*z**2 - 7*z + 3. What is the remainder when a is divided by g(7)?
1
Let g(k) = 9*k - 81. Let n = -8 - 5. Let s = n - -18. What is the remainder when g(10) is divided by s?
4
Let v = 61 - 8. Calculate the remainder when v is divided by 14.
11
Suppose -4*h = t - 23, -5*h - 8 = -t - 6*h. Let m(i) = -i**3 + 8*i**2 - 10*i + 4. Let a be m(7). Let o = -8 - a. Calculate the remainder when o is divided by t.
0
What is the remainder when -8 + 6 + 92 + -1 is divided by 23?
20
Let v = 110 - 67. Suppose -5*n = -2*r + v, -2*r + 2*n + 34 = -0*r. What is the remainder when 54 is divided by r?
12
Let x(v) = -v**3 + 2*v**2 - v + 1. Calculate the remainder when 15 is divided by x(1).
0
Suppose 0 = 3*r - r - 16. What is the remainder when 22 is divided by r?
6
Let w be (-3 + 7 + -3)*3. Calculate the remainder when 11 is divided by (-8)/(-16)*w*4.
5
Let r(t) = -3*t**2 + t**2 + 2*t**2 + t**2 + 2. Calculate the remainder when 52 is divided by r(4).
16
Suppose 0 = -18*w + 23*w - 785. Calculate the remainder when w is divided by 32.
29
Suppose -u + 9 = -3*d - 0, -2*d + 4 = 0. Calculate the remainder when (-1)/6 - (-4 - (-662)/(-12)) is divided by u.
14
Suppose -d = -3*d - 248. Let s = 179 + d. Suppose t = s - 12. Calculate the remainder when t is divided by 15.
13
Suppose d - 5 - 2 = 0. Let v be -1 + (3 - 0 - 0). Suppose -v*r + 12 = r. Calculate the remainder when d is divided by r.
3
Suppose 0 = -5*f + s + 161, -2*f - f - 2*s = -94. Calculate the remainder when 95 is divided by f.
31
Calculate the remainder when 28 + (-4)/4 + 3 is divided by 16.
14
Let s(w) = 2*w**3 + 4*w + 5*w**2 + 3*w**3 - 4*w**3. Let o be s(-4). Suppose o + 6 = k. Calculate the remainder when 11 is divided by k.
5
Let n(i) = -i**3 - i**2 - i - 4. What is the remainder when 31 is divided by n(-3)?
14
Suppose 0 = -2*o + 4*o - 42. Suppose -z = 3*p - 7, 5*p + 7 = 2*z - 7. Let b = o - z. What is the remainder when 41 is divided by b?
13
Let q(s) = 10*s - 9. Let i be q(6). Suppose l + 2*l = i. What is the remainder when 49 is divided by l?
15
Let m = 3 - 7. Let t(h) = h**2 + 4*h + 2. Let v(q) = -q + 1. Calculate the remainder when v(-4) is divided by t(m).
1
Suppose -3 - 6 = -g. Calculate the remainder when 34 is divided by g.
7
Let o = 3 - -1. Suppose f + f = -d + o, 0 = -2*d + 3*f + 36. Calculate the remainder when 33 is divided by d.
9
Let s(j) = j**3 - 5*j**2 + 2*j - 6. Let n be s(3). What is the remainder when 37 is divided by (-176)/n - (-14)/63?
7
Let f = -9 + 16. Suppose 0 = i - 5*i + 16. Calculate the remainder when f is divided by i.
3
Calculate the remainder when 79 is divided by ((-240)/(-84))/(2/7).
9
Suppose 0 = 3*f + 260 + 112. Let d = -10 + 0. What is the remainder when 34 is divided by f/d - (-2)/(-5)?
10
Let t be 1 + 61 - (2 - 1). Let f = t - 41. Calculate the remainder when 37 is divided by f.
17
Let z = -96 - -217. Calculate the remainder when z is divided by 31.
28
Suppose -3*a = -6, -5*j = 5*a - 22 - 43. Calculate the remainder when 43 is divided by j.
10
Suppose 3*u + 14 - 1 = 2*m, -2*m - 2*u = -28. What is the remainder when 20 is divided by m?
9
Suppose 4*j - 5*a - 5 = 12, 3*a = -15. Let t = j + 11. Let z(y) = y**3 + 6*y**2 + 3*y - 4. Calculate the remainder when z(-4) is divided by t.
7
Let q(p) = -6*p - 38. Calculate the remainder when 29 is divided by q(-9).
13
Suppose -5*m = o - 3*o - 334, 324 = 5*m + 3*o. Calculate the remainder when m is divided by 17.
15
Let o(p) = p**3 + 3*p**2 - 2*p. Let s(l) = -l. Let g(w) = o(w) + 2*s(w). Calculate the remainder when 23 is divided by g(-3).
11
Suppose z + 4*s - 7 = 4*z, 8 = 4*z - s. What is the remainder when z is divided by 3?
0
Let k = 17 - 5. Calculate the remainder when k is divided by 7.
5
Let o = -32 + 36. Calculate the remainder when 10 is divided by o.
2
Let u be (0 - -4) + -1 + -1. Suppose 5*v = 5*w + 30, 0 = -3*v - 2*w + w + u. Suppose 12 = -8*j + 11*j. Calculate the remainder when j is divided by v.
0
Let g(b) = -b**3 - 14*b**2 - 2*b + 10. What is the remainder when g(-14) is divided by 21?
17
Calculate the remainder when (-17 - -5 - 2)*-3 is divided by 15.
12
Let t(r) = 3*r**3 - 3*r**2 + r + 1. What is the remainder when t(2) is divided by 8?
7
Let p(y) = y**2 - 5*y + 10. What is the remainder when 60 is divided by p(6)?
12
Let c = 2 - -7. Let q = -63 + 88. What is the remainder when q is divided by c?
7
Let a = -8 + 32. Calculate the remainder when a is divided by 14.
10
Let z(u) = -22*u. Calculate the remainder when z(-1) is divided by 15.
7
Let b be 335/(-10) + (-3)/(-2). Let p = b + 48. What is the remainder when p is divided by 9?
7
Suppose -c + 90 = c. Suppose -5*b + c = -0*b. Calculate the remainder when 34 is divided by b.
7
Let z = -2 - 1. Let o = z - -10. Suppose 3*u = -2*u + 5, u = 3*g - 35. Calculate the remainder when g is divided by o.
5
Suppose 0 = -u - 2*u, -60 = -4*t + 2*u. Suppose 2*j - 110 = 2*v, -5*j - 2*v + 315 = 3*v. What is the remainder when j is divided by t?
14
Let g(b) = 0*b - 8 - 3*b + 7*b + 2*b. What is the remainder when g(7) is divided by 12?
10
Suppose 2*j = 21 + 17. What is the remainder when j is divided by 5?
4
Suppose 4*a - 22 = 98. Let s(d) = d**3 + d**2 - d + 1. Let h be s(0). Calculate the remainder when a is divided by (h - 3) + (-1 - -19).
14
Let k(j) = 5*j - 4. Suppose 11 = a - 0*a - 4*t, 5*t = a - 13. Calculate the remainder when 41 is divided by k(a).
8
Suppose -x - 2*x = -30. Let k(l) be the third derivative of -l**5/60 - 7*l**4/24 - l**3 + 3*l**2. Calculate the remainder when x is divided by k(-4).
4
Let t = -9 - -9. Let r be t - (-1 + 3)/(-1). Suppose -5 - 5 = -r*l. What is the remainder when 13 is divided by l?
3
Let t(a) = -2*a**2 - 5*a**3 + 2*a**3 + a**3. What is the remainder when t(-2) is divided by 5?
3
Suppose -3 = -z - 10*d + 5*d, 0 = d + 4. Suppose n - 4*c - z = -6*c, -5*c = n - 14. Calculate the remainder when n is divided by ((-3)/5)/(1/(-25)).
14
Let c(y) = y**2 - 7*y - 12. Let u be c(9). Suppose u*a = a + 50. Calculate the remainder when 29 is d