. What is the remainder when 21 is divided by b?
10
Let m = -15 + 24. Suppose -9 + 3 = -2*a. What is the remainder when m is divided by a?
0
Suppose 16 = 5*q + 3*c + 3, -17 = -q + 3*c. Suppose -q*i = 2*l - 17, -5*l = -4 + 24. Suppose -31 + 3 = -2*x. Calculate the remainder when x is divided by i.
4
Let f = 14 - 8. Suppose 0 = -n + f*n - 3*t - 31, -n + 5*t = -15. Suppose -213 - 15 = -4*r + n*w, 4*w + 224 = 4*r. What is the remainder when r is divided by 18?
16
Let b = 4 + -2. Suppose -j + 18 = b*j. What is the remainder when 23 is divided by j?
5
Suppose -3*c + 11 = -1. Let l be (-3)/((12/(-63))/c). Suppose -4*h + l = 15. Calculate the remainder when 34 is divided by h.
10
What is the remainder when 118 is divided by 1 + -5 - 165/(-11)?
8
Let y(i) be the third derivative of -i**6/120 - i**5/60 - i**4/24 - i**2. Let q be y(-1). What is the remainder when 35 is divided by (-2 + q)*(-18)/2?
8
Let i(b) be the first derivative of b**4/4 - 4*b**3/3 + 3*b**2/2 - 2*b - 1. Let v be ((-16)/6)/(8/(-12)). What is the remainder when 18 is divided by i(v)?
8
Let j(d) = d**3 + 2*d**3 - 2*d**2 + 5*d**3 + d**2 + d. Let v be j(1). Suppose 3*t - v = -2. Calculate the remainder when 5 is divided by t.
1
Let f = 31 + 16. What is the remainder when f is divided by 25?
22
Let q be (-15)/(-12)*8/1. Let p(k) = k + 12. Calculate the remainder when ((-5)/q)/((-2)/68) is divided by p(-6).
5
Suppose 25 + 79 = 2*u. Calculate the remainder when u is divided by 9.
7
Suppose 4*x = l + l - 4, 3*l = -2*x + 6. Suppose l*k = -2*k + 48. Calculate the remainder when 58 is divided by k.
10
Calculate the remainder when 82 is divided by ((-5)/(-15))/((-2)/(-126)).
19
Let c be 3*-7*(-2)/6. Suppose -c*o + 20 = -3*o - 5*x, o + 4 = -x. Suppose -i + 2*i - 15 = o. Calculate the remainder when 44 is divided by i.
14
Let b(y) = -9*y - 1. Calculate the remainder when b(-2) is divided by (-1)/(1*(-2)/18).
8
Suppose -10 = -v - v. Suppose 21 = v*c - 204. What is the remainder when c is divided by 16?
13
Let s = -31 - -58. Let k(u) = -3*u + u + 0*u + 4*u. Calculate the remainder when s is divided by k(7).
13
Let z(v) = v**2 - v + 7. Let k be z(-5). Let y = k - 63. Let f = -12 - y. What is the remainder when 41 is divided by f?
13
Let g(k) = k - 8. Let y be g(7). Let p be (y - -1) + 4 + -1. Suppose -4*t + 8 = -2*a, 4*t = p*a - 2*a + 8. What is the remainder when 4 is divided by t?
0
Let c(n) = -5*n + 1. Let l be c(-4). Let s = l + 10. Suppose 2*a = a + 16. What is the remainder when s is divided by a?
15
Let r(b) = b**3 - 5*b**2 + 7*b - 16. Calculate the remainder when 48 is divided by r(5).
10
Let p(x) = -7*x + 5. Let i(c) = 2*c**2 - 2*c - 2. Let f be i(2). Suppose 24 = y + y + 4*j, f*y = -j + 24. What is the remainder when p(-4) is divided by y?
9
Let h = -5 + 10. Let x(f) = -2*f - 8. Calculate the remainder when x(-8) is divided by h.
3
Suppose 0*w - w = 5. Let h(p) = p**3 - p**2 - p + 17. Calculate the remainder when h(0) is divided by (36/(-10))/(2/w).
8
What is the remainder when (-1206)/45*(-5)/2 is divided by 17?
16
Let p be (-16)/(-6) + (-2)/(-6). Let s = p - -8. Suppose 0*m + m = 0, m + 128 = 4*g. Calculate the remainder when g is divided by s.
10
Suppose -89 - 41 = -5*o. Let z(y) = y**3 + 6*y**2 + 2. Let v be z(-6). Let m = v + 12. What is the remainder when o is divided by m?
12
Suppose 0 = -3*z - w + 40, 5*w = 3*z + 3*w - 46. Let q(h) = 3*h - 10. What is the remainder when z is divided by q(6)?
6
Let n(h) = -h**3 + 8*h**2 - 7*h - 2. Let a be n(7). Let i = 9 + a. Suppose j + i = 2*j. Calculate the remainder when 20 is divided by j.
6
Suppose -2*m + 8 = 4*f - 4*m, 0 = 2*f + m - 4. Calculate the remainder when 5 is divided by f.
1
Let g be 0*-1*(-2 - -1). Suppose g*c = -2*c + 28. What is the remainder when 4 + -3 + -4 - -30 is divided by c?
13
Suppose 2*p = 3*q + 20, 3*p + q + 37 = 6*p. What is the remainder when 31 is divided by p?
5
Let x = -84 + 120. Let k = x - 20. What is the remainder when 31 is divided by k?
15
Let k(i) = 17*i**2 + 2*i + 1. Suppose -4*t + 9 = 1, 0 = -4*n + 5*t - 14. Let o(m) = -6*m - 2. What is the remainder when o(-8) is divided by k(n)?
14
Calculate the remainder when 7/(3*(-1)/(-6)) is divided by 5.
4
Suppose -8 = -3*d + 1. Suppose -d*q + 19 = 4. Suppose 2*o - 39 = q*n, 6*o - 5*o = -n + 2. What is the remainder when 20 is divided by o?
6
Let n(t) = 10*t**2 - 5*t**2 + 17*t**2 + 1. What is the remainder when 3*23 + -4 + 2 is divided by n(1)?
21
Calculate the remainder when ((-150)/4)/(3/12 - 1) is divided by 10.
0
Suppose -t = 3*x - 3*t - 42, 42 = 3*x - t. Calculate the remainder when 50 is divided by x.
8
Let t = -1 + 2. What is the remainder when ((-6)/(-2))/(18/12) is divided by t?
0
Suppose -4*d + 20 = 3*k, 3*d = 4*d - 4*k + 14. Suppose 17 = b - v - 2*v, d*b + 4*v = -6. What is the remainder when b is divided by 4?
1
Let o = 128 + -99. What is the remainder when o is divided by 11?
7
Suppose -5*l + 2*l - 87 = -4*k, -4*k - 5*l + 111 = 0. Calculate the remainder when 191 is divided by k.
23
Suppose -5*a - 4*m = -17 + 3, -4*m + 10 = 3*a. Suppose 5*k - j - 93 = j, -74 = -4*k + a*j. Calculate the remainder when k is divided by (14/6)/((-2)/(-6)).
5
Suppose -5*h = -2 - 3. Suppose 2*s = -2*r - 2, -s - 8 = -4*r - 2. What is the remainder when h is divided by r?
0
Suppose 82 = 3*o - 59. What is the remainder when o is divided by 16?
15
Let z(y) = y**3 + 8*y**2 + 8*y + 7. Let a = 9 - 4. Let r(k) = -k - 1. Let q be r(a). Calculate the remainder when z(q) is divided by 11.
9
Let y be (6/4)/((-6)/80). Let m = y + 34. Let o = -8 + m. What is the remainder when o is divided by 4?
2
Let k(b) = -b - 3. Let x be k(-6). Suppose 3*o - i = 156, o - x*i - 35 = 17. What is the remainder when o is divided by 18?
16
Suppose 5*u - 2*c = 153, -c + 94 = -0*u + 3*u. Calculate the remainder when 117 is divided by u.
24
Suppose -2*q + 0*q = -30. Calculate the remainder when q is divided by (63/35)/(-1 - 18/(-15)).
6
What is the remainder when 217 is divided by (61 - 2) + (-9)/(9/4)?
52
Suppose -19*y + 16*y = -24. What is the remainder when 15 is divided by y?
7
Let x be (-3 - -3) + 3 + 0. Suppose -v = v - 52. Suppose -v = -4*w + 2*w + 2*h, x*w - 71 = -5*h. What is the remainder when w is divided by 9?
8
Let h(s) = s**2 + 21*s + 29. What is the remainder when h(-23) is divided by 38?
37
Let q(s) = -s**3 - 4*s**2 + 6*s - 2. Let r be q(-5). Let o = r + 12. Calculate the remainder when o is divided by 2.
1
Let r = 175 + -64. Calculate the remainder when r is divided by 38.
35
Let z(c) = -c**3 - 9*c**2 - 2*c + 10. Let g be z(-9). Let y = g - 19. What is the remainder when 16 is divided by y?
7
Suppose 3*h = -5*z - 24, z - 4*h - 6 = -z. What is the remainder when (-48)/8*8/z is divided by 6?
4
Suppose 2*r = -2*r - 4. Let v(w) = -2*w - w**3 - w - 10*w**3 + 2*w. What is the remainder when v(r) is divided by 7?
5
Let j(c) = -4*c - 9. Let q(r) = r**2 + 11*r + 8. Let a be q(-9). What is the remainder when 122 is divided by j(a)?
29
Suppose 0 = s + 3*h - 7*h - 4, 5*h - 4 = -s. Let o be 4/10 + s/(-10). Let c(n) = n + 8. What is the remainder when 22 is divided by c(o)?
6
Let b(v) = -v - 1. Let f be b(2). Suppose -159 = -5*q + p, 2*p = -4*q + 3*q + 23. What is the remainder when q is divided by (78/3)/2 - f?
15
Suppose -3*a = 2*a - 45. Suppose -2*b = 2*b + 20. Calculate the remainder when (-2)/10 - 86/b is divided by a.
8
Suppose 3*t + p = -p + 42, 4*t - 4*p - 76 = 0. What is the remainder when 28 is divided by t?
12
Let z(d) = 3*d**2 - d. Let l be z(1). Let c(g) = 8*g**3 - 3*g**2 + 3*g - 3. Let f(q) = q**3 + 5*q**2 + 3. Calculate the remainder when c(l) is divided by f(-4).
17
Suppose -9*a - 61 = -178. What is the remainder when 272 is divided by a?
12
Let u be 2/4*-1*4. Let n = u + 21. What is the remainder when n is divided by 10?
9
Suppose -3*c + 5*r + 7 = -8, 0 = -5*c - 4*r - 12. Suppose -b + 47 - 12 = c. Calculate the remainder when b is divided by 18.
17
Let f = -23 + 26. Suppose 0 = -2*u + 59 - f. What is the remainder when u is divided by ((-26)/(-6) - 1)*3?
8
Let y = 15 - 6. Suppose -y = -2*p + i, p + 3*i + 3 = i. Suppose p*d = 2*d + 5. Calculate the remainder when 19 is divided by d.
4
Suppose -8 = 5*x + 2. Calculate the remainder when 13 is divided by -1 + 2/x + 9.
6
Let g(z) = 5*z**2 + z