. Calculate the remainder when 9 is divided by z.
4
Suppose -3*p + 47 = 5*z, -24 = -4*p - 0*p + 3*z. Suppose 3*d = d + 50. Suppose 4*a - 3*a + 5*k = d, 0 = 4*k - 16. What is the remainder when p is divided by a?
4
Let v(j) = j**3 + 7*j**2 + 5. Calculate the remainder when v(-7) is divided by 4.
1
Suppose 5*f + 4*n = 2*n + 88, -4*f - 3*n = -69. Suppose 3*i = 2*i + 34. Calculate the remainder when i is divided by f.
16
Let w(j) = j**3 - 4*j**2 + 3*j + 2. Let i be w(3). What is the remainder when 26 is divided by 33/5 - i/(-5)?
5
Let y(t) = 2*t**2 - 22*t. What is the remainder when y(13) is divided by 27?
25
Let x = -5 - -6. Let v be (-1)/1 - 5/(-1). Suppose -l + x = -v. Calculate the remainder when l is divided by 2.
1
Suppose -5*m + 16 = -3*h, -m - 3*m = h - 6. Let t = h + 6. Calculate the remainder when 5 is divided by t.
1
Suppose -g - 5*o = -2*g + 197, 5*g + 4*o = 840. Calculate the remainder when g is divided by 25.
22
Let q(a) = 2*a**2 + 5*a + 6. What is the remainder when 32 is divided by q(-4)?
14
Let h = 30 - -4. What is the remainder when h is divided by 9?
7
Suppose 4*m + 4*o = 4, 7 = 5*m + o + 3*o. Let j be ((-12)/18)/((-4)/246). Suppose -11 + j = 5*v. Calculate the remainder when v is divided by m.
0
Let f(i) = i**3 - i**2 + 5. Suppose 0 = 2*p - 3*p. What is the remainder when (-4)/(1/(-2) + p) is divided by f(0)?
3
What is the remainder when 4 is divided by (2/(-4) - 1)*-2?
1
Let m = -37 + 54. Let w be 49/2*10/1. Suppose 3*t + 2*t = w. Calculate the remainder when t is divided by m.
15
Suppose 5*g - 102 = -3*n, -36 + 10 = -n + g. Calculate the remainder when 110 is divided by n.
23
Let c(t) = t**2 + t - 1. Let z be c(-1). Let w be 21 + (z - -2) + -3. Suppose -84 = -5*f - w. Calculate the remainder when 37 is divided by f.
11
Let d = -38 + 67. Let y = -12 + d. Let a = -21 - -53. What is the remainder when a is divided by y?
15
What is the remainder when 273/12 + (-2)/(-8) is divided by 12?
11
Let p(q) = -q**3 + 5*q**2 + q - 5. Let d be p(5). Suppose d = 3*k - 8*k + 15. Calculate the remainder when 9 is divided by k + -3 + (-10)/(-2).
4
Let t = -12 + 16. Calculate the remainder when 13 is divided by (-2)/t - (-102)/12.
5
Let m = 2 - 11. Let z = m + 17. What is the remainder when 23 is divided by z?
7
Let w = -19 + 24. Calculate the remainder when w is divided by 4.
1
Let s(i) = -3 - 4*i + 9*i**2 - 2*i**3 + i**3 - 7. Calculate the remainder when s(7) is divided by 21.
18
Suppose -8*h + 41 = 1. What is the remainder when h is divided by 2?
1
Let s = 97 - 81. Let h be (0 - -2)/((-2)/1). Let r(k) = 32*k**2 + k. Calculate the remainder when r(h) is divided by s.
15
What is the remainder when 59 is divided by 14/(-3) + 5 + 44/3?
14
Suppose 0 = -2*t - t - z + 9, -5*z - 19 = -t. Suppose 0 = w - j - 14, 2*w - t*j - 24 - 4 = 0. Calculate the remainder when 55 is divided by w.
13
Let c be 40 - (0 + (2 - -1)). Let f = c - 17. What is the remainder when f is divided by 7?
6
Let a = 29 + 6. What is the remainder when 173 is divided by a?
33
Let z(p) = p**3 + 9*p**2 - 14*p - 14. Let w be z(-10). Suppose -7*r + 2*r = -100. What is the remainder when w*2/((-4)/(-3)) is divided by r?
19
Suppose 5 - 1 = d. Let q = 0 - -10. What is the remainder when q is divided by d?
2
Let n(u) = 3*u + 1. Suppose -3*f + 10 = -5. Let y = 18 + -9. Calculate the remainder when n(f) is divided by y.
7
Let s(r) be the first derivative of r**3/3 + 4*r**2 - 2*r - 4. Let o = -112 + 165. What is the remainder when o is divided by s(-10)?
17
Let d = 22 + -16. Suppose 11 = -3*z + 4*z. Calculate the remainder when z is divided by d.
5
Let q(r) = -r + 4. Suppose -2*b = 21 - 5. What is the remainder when q(b) is divided by 7?
5
Let v be (-190)/(-60) - (-1)/(-6). Let m = v - -25. Calculate the remainder when m is divided by 16.
12
Suppose 6*h = 2*h - 8. Suppose v + 12 = 2*c, -3*c + 17 = -0*c - 2*v. What is the remainder when (3 + 16)/(h/(-2)) is divided by c?
5
Let l(m) be the third derivative of m**4/8 - m**3/3 - 3*m**2. Calculate the remainder when l(12) is divided by 12.
10
Suppose 0 = j - 0*j - 12. Suppose 0*i - j = -3*i. Suppose -4*l + 35 = -3*u + 7, -3*l + 5*u = -10. Calculate the remainder when l is divided by i.
2
Suppose -5*p - 1 = -26. Suppose -p*w = -10*w - 2*z + 47, -3*w + 32 = 5*z. Let h = 50 - w. What is the remainder when h is divided by 21?
20
What is the remainder when 21 is divided by (-846)/(-72) + 1/4?
9
Suppose 2*u - 3*b = 87, -3*u - 43 = b - 190. Calculate the remainder when u is divided by 13.
9
Let d = -2 + 1. What is the remainder when 3/(-1 - 2) - -20 is divided by (-108)/(-15) + d/5?
5
Let y = 2 + -2. Suppose y*c + 5*c = 25. Let s = -4 + c. Calculate the remainder when 3 is divided by s.
0
Let y(n) = n**3 - 7*n**2 + 8*n - 6. Let c be y(6). Calculate the remainder when 37 is divided by 2/c + 69/9.
5
Let v = 32 + -10. Calculate the remainder when 84 is divided by v.
18
Suppose 6*j = 3*j + 135. Let d(z) = -z**2 + 4*z + 3. Let t be d(7). What is the remainder when 1 is divided by 35/j - 4/t?
0
Suppose 2*w - 4*d - 22 = 0, 7*d = 4*d - 12. Suppose 5*a - w*y - 78 = 0, -47 = -4*a - y + 29. Calculate the remainder when a is divided by 10.
8
Suppose 2*h + 4*x = -0*h + 52, x + 1 = 0. Let m = h - 14. Calculate the remainder when 40 is divided by m.
12
Let m(w) be the second derivative of 0*w**4 + 2*w**2 + w - 1/20*w**5 + 1/6*w**3 + 0. Calculate the remainder when m(0) is divided by 2.
0
Let y(q) = q**3 - 6*q**2 + 6*q - 5. Let k be y(5). Suppose 2*l + 23 = p - k*l, -2*l = 3*p - 61. Calculate the remainder when p is divided by 11.
10
Suppose -q - 4 = -12. Suppose -q*x = -3*x - 265. Calculate the remainder when x is divided by 27.
26
Let v(r) = -19*r - 2. Calculate the remainder when 83 is divided by v(-1).
15
Suppose 0 = -9*y + 8*y + 8. Let v = 50 - 21. Calculate the remainder when v is divided by y.
5
Let k(r) be the third derivative of -r**5/60 - r**4/2 - r**3/2 + 3*r**2. What is the remainder when k(-8) is divided by 16?
13
Let c(a) = 26*a**2 - 3. Let l be c(2). Suppose 2 = -2*m, 5*i = -m + 635 - l. Calculate the remainder when i is divided by 22.
19
Suppose 3 + 14 = 3*u + 5*h, 3*u + 2*h - 23 = 0. Let q(j) be the third derivative of j**4/12 - 3*j**3/2 - j**2. What is the remainder when u is divided by q(7)?
4
Suppose 1195 = 5*f - d, 0 = f - 0*f - 2*d - 248. What is the remainder when f is divided by 48?
46
Let y(j) = 2*j**2 + 4*j + 3. Suppose 7 = -5*r + 2, -4*s + 22 = -2*r. Suppose s = -2*n + 1. What is the remainder when 7 is divided by y(n)?
1
Let n = -4 - -8. Suppose 5*f + 0*o = 2*o + 39, n*f = -3*o + 22. Suppose f = -5*l + 22. What is the remainder when l is divided by 3?
0
Let a(n) = n**3 + 4*n**2 + 2*n - 1. Calculate the remainder when a(-2) is divided by 2.
1
Let a(r) = r**2 - 5*r - 6. Let u be a(6). Suppose 5*m = -k + 92, 3*m - 149 = -u*k - 2*k. What is the remainder when k is divided by 17?
16
Suppose 2*y - 5*j = -2*y + 23, 2*y - 3*j - 13 = 0. Suppose 2*u + y + 2 = 2*d, 3 = d. Calculate the remainder when 23 is divided by (u/2)/(2/48).
11
Suppose -4*z - z + 10 = 0. Let r be 13/z + (-6)/4. Suppose -k = -r*t + 63, 0 = -3*k - 9. Calculate the remainder when 35 is divided by t.
11
Suppose -22 + 0 = -2*x. Suppose -3*v + 67 = -5*m, 22 = -3*v + m + 81. What is the remainder when v is divided by x?
8
Let l be 1 - (2 - 6 - -58). Let r = 16 - l. What is the remainder when r is divided by 18?
15
Suppose 2*b = 6, -k - 19 = -6*k + 2*b. Let i(p) = 2*p**3 + 4*p**2 - 2*p - 2. Let o be i(-3). Let q = -11 - o. What is the remainder when k is divided by q?
2
Suppose 9*o - 45 = 36. Let f(h) = -2 - 16*h**3 - 2*h + 1 + h. Calculate the remainder when f(-1) is divided by o.
7
What is the remainder when 7 is divided by 9*24/18*2/12?
1
Suppose -2*j = 5*v - 7 - 81, -8 = 2*v. Suppose g = 2*z - 27, -3*z - 3*g + j = -0*z. What is the remainder when 10/z - (-296)/6 is divided by 13?
11
Let u = -19 + 27. Suppose 2*c - 5*s = -2*s + u, 0 = -4*c + s + 16. Let q = 2 + 1. What is the remainder when c is divided by q?
1
Calculate the remainder when (-3 + (-6)/4)*-2 is divided by 3.
0
Let u be (1 - 1)*3/6. Suppose 3*c - 34 = -u*c - 5*m, -5*m = 5. What is the remainder when 23 is divided by c?
10
What is the remainder when 53 is divided by 15 - (-12)/(4 + 0)?
17
Suppose -c = 2*x, -x = -2*c - 