lculate the remainder when 9 is divided by l(12).
4
Suppose 6*y = 187 + 203. Calculate the remainder when y is divided by 22.
21
Let n be (5/10)/((-1)/(-34)). Calculate the remainder when 444/n + 6/(-51) is divided by 7.
5
Let r = -7 + 9. Suppose 8*z + 4*c = 3*z + 40, -r*c = -3*z + 2. Suppose -z = -2*f + f. What is the remainder when 6 is divided by f?
2
Let v be 40/(-16)*1*2. Calculate the remainder when 40*(-1 - 7/v) is divided by 9.
7
Let g = 70 + -51. What is the remainder when 55 is divided by g?
17
Let h(p) = 4*p**3 - 2*p**3 + 2*p - 2*p**2 + 1 - 3*p**3 - p**2. Let d be h(-4). Suppose 3*f - d - 30 = 0. Calculate the remainder when 23 is divided by f.
10
Let w(u) be the third derivative of u**4/24 - 3*u**2. What is the remainder when w(6) is divided by 2?
0
Suppose -3 + 7 = 2*p - 5*a, 0 = -p + 5*a - 8. Let t = -4 - -8. Let k(w) = 8*w + 3. Calculate the remainder when k(t) is divided by p.
11
What is the remainder when 2 + -3 + (2 - -4) is divided by 4?
1
Suppose 3*u - 10 = 11. What is the remainder when u is divided by 4?
3
Let a be (-6)/(-27) + (-529)/(-9). Let y = -24 + a. Calculate the remainder when y is divided by 12.
11
Let t = 30 - 21. Suppose -t = -f - 5. Calculate the remainder when 13 is divided by f.
1
Let x = 51 + -34. Let n = -17 - 46. Let c = n + 112. What is the remainder when c is divided by x?
15
Let d(q) = -q**3 + 14*q**2 - 11*q + 15. Calculate the remainder when d(13) is divided by 11.
8
Let v(p) = 2*p - 5. Let h be v(3). Let q = 14 - h. What is the remainder when q is divided by 8?
5
Suppose -33 = -m - 4*q, 4*m + 4*q - 50 = 2*m. Suppose -2*z - 3*z + 45 = 0. Calculate the remainder when m is divided by z.
8
Let a = 14 + -6. Suppose -3*n - 25 = 2*s, 5*s + 24 = -n - n. Let j(b) = -b**3 - 6*b**2 + 4*b + 10. Calculate the remainder when j(n) is divided by a.
7
Let u be (8/(-20))/(3/60). Let r = -5 - u. What is the remainder when 4 is divided by r?
1
Suppose -2 + 7 = b - 4*t, 0 = -5*b + 5*t + 40. What is the remainder when 53 is divided by b?
8
Let z(p) = -p**2 + 6*p - 5. Let r be z(4). Suppose 3*u - 107 = -5*x, 6*u + 91 = 4*x + r*u. What is the remainder when x is divided by 8?
6
Let d(u) = 2*u + 1. What is the remainder when 38 is divided by d(6)?
12
Let y = -24 - -35. Suppose y = z - 2*o, -3*z - 1 = -5*z - 3*o. Calculate the remainder when 8 is divided by z.
3
Suppose 6*b = 2*b + 28. Let j(d) = -2 + 2*d**3 + d - 3*d**3 + 7*d**2 + 4. What is the remainder when 25 is divided by j(b)?
7
What is the remainder when 7 is divided by 5/(5/2) + 0?
1
Let c(f) = -f**2 - 11*f - 13. Let d be c(-9). Suppose 0 = -3*a + 7 + d. What is the remainder when 14 is divided by a?
2
Suppose b = -b + 5*o + 16, 0 = 5*o + 20. Calculate the remainder when 7 is divided by (b - -10)*2/8.
1
Let f(n) = 4*n**3 - n**2 - 3*n + 2. Let a(p) = -p - 4. Let r be a(-6). Suppose 42 = 5*i - 23. What is the remainder when f(r) is divided by i?
11
Let n(p) = p**2 + 28*p + 59. What is the remainder when n(-27) is divided by 19?
13
What is the remainder when 1/(1 + -4) + 1070/15 is divided by 18?
17
Suppose -y - 2*y + 9 = 0. Suppose y*b = 8*b. Suppose 2*f - 36 = 5*j, 2*f + 5*j + b*j - 16 = 0. Calculate the remainder when 49 is divided by f.
10
Suppose 2*r - 5*a = -97, 4*r + 124 = 3*a - 7*a. Let i = r - -22. Let p = -1 - i. What is the remainder when p is divided by 8?
5
Let q(u) = u**3 + 4*u**2 - 2*u + 1. Suppose r + 12 = -r. Let v = r - -3. Calculate the remainder when 31 is divided by q(v).
15
Calculate the remainder when 3 + 3/((-3)/(-130)) is divided by 34.
31
Let n = 11 + -7. Suppose -n*i - 8 = -20. What is the remainder when i is divided by 3?
0
Let y = -67 - -99. Calculate the remainder when 285 is divided by y.
29
Let s be (-4)/(-8) + (-2)/4. Suppose s = -3*g - 0*o + 5*o + 1, 3*g + o - 25 = 0. Calculate the remainder when 26 is divided by g.
5
Suppose h = 4*a + 5, -3*a - 2*a - 42 = -4*h. Let r = -6 - -14. Suppose -r = -q - q. Calculate the remainder when h is divided by q.
1
Let s be 36/(-15)*(-20)/(-6). Let v = s - -16. Calculate the remainder when v is divided by 5.
3
Suppose -6*x = -58 - 26. Calculate the remainder when 137 is divided by x.
11
Suppose 16 = 5*t + 1. Let i be 3/(5/(20/t)). Suppose 5*r + 4*k = -k + 75, -i*r + k = -50. Calculate the remainder when r is divided by 7.
6
Suppose 0*o - 13 = -v + 3*o, 132 = 4*v + 4*o. What is the remainder when v is divided by 18/(-45) - 104/(-10)?
8
Let w = 59 + -30. Let j be (8/6)/(2/60). Let f = j - w. What is the remainder when 32 is divided by f?
10
Let j = 12 + 4. What is the remainder when 46 is divided by j?
14
Suppose -114 = -10*m + 4*m. Let p = -1 - -2. What is the remainder when p/4 - m/(-4) is divided by 4?
1
Suppose 3*l - 77 - 31 = 0. Suppose 6*i = 3*i - 3*g + l, -4*i + 62 = -3*g. Calculate the remainder when 39 is divided by i.
11
What is the remainder when -1 + -1 + 38 - -4 is divided by -5*(0 - 28/10)?
12
Let n = -19 - -9. Calculate the remainder when 51 is divided by 6/15 - 176/n.
15
Let u be 792/30 + (-6)/(-10). Let r be ((-2)/(-6))/(3/u). What is the remainder when (0 + -3)*(-11)/r is divided by 4?
3
Let h(z) = -6*z - 10. What is the remainder when h(-3) is divided by 6?
2
Let k be (0/(-3))/(1 + 1). Calculate the remainder when (-46)/(-4)*(-1 + 3) is divided by (0 - -6) + 2 + k.
7
Let d(x) be the third derivative of -x**5/60 - 5*x**4/24 - 2*x**3/3 - 2*x**2. Calculate the remainder when d(-3) is divided by 2.
0
Let k(h) = -h**3 - h**2 + 10*h + 3. Suppose -20 = -y - 0*y. Calculate the remainder when y is divided by k(-4).
9
Let g = -3 - -19. Let x(m) = m**3 - 12*m**2 - 13*m + 3. Let s be x(13). Suppose 81 = s*p - 9. What is the remainder when p is divided by g?
14
Let m(f) be the second derivative of -f**5/20 - f**4/6 - f**2/2 - f. Let w be m(-2). Calculate the remainder when 0 + w + 2 + 23 is divided by 13.
11
Let s(y) = y**3 - 4*y**2 - 6*y + 5. Let g be s(5). Suppose -2*m = -z + 25, -3*m + 30 = -0*z + 3*z. What is the remainder when 0 - (0 - g - 44) is divided by z?
14
Let o(l) = -l**2 - 6*l + 2. Suppose -d - 4*w = 18, 5*d + 13 = 4*w - 5. What is the remainder when o(d) is divided by 0/1 - 0 - -2?
0
Suppose -10 = 2*a, -5*w - 5*a - 19 - 6 = 0. Suppose -3*u + 4 + 41 = w. Calculate the remainder when ((-43)/(-1) + 1)/1 is divided by u.
14
Let c be ((-12)/4)/((-2)/4). Let v = c - -9. Suppose 2*u = -3*u + 210. What is the remainder when u is divided by v?
12
Let r(s) = -s**3 + 11*s**2 - s - 2. Let k be r(11). Let x = 33 + k. What is the remainder when 39 is divided by x?
19
Calculate the remainder when 29 is divided by -1*8*(2 + -4).
13
Let c = -1 - -4. Suppose 0 = 22*o - 17*o - 55. Calculate the remainder when o is divided by c.
2
Suppose 0 = -5*k + 2 + 88. Suppose 5*w - 50 = 2*w - 2*x, 0 = -w + 4*x + 40. Let f = 89 - w. Calculate the remainder when f is divided by k.
15
Suppose 5*u = -u + 342. Suppose 10 = 5*p, -5*p + 17 - u = -2*r. What is the remainder when 48 is divided by r?
23
What is the remainder when 5423/68 + 1/4 is divided by 21?
17
Suppose 5*b = -50 + 305. Calculate the remainder when b is divided by 14.
9
Suppose 4*j - 3*i + 1 = 2*i, -2*j + 5*i = 13. What is the remainder when 9 is divided by j?
3
Suppose 0*n + 30 = 5*n. Suppose -105 = -n*w + w. Suppose 30 + 25 = 5*i. What is the remainder when w is divided by i?
10
Suppose 43*m - 39*m - 120 = 0. Calculate the remainder when 68 is divided by m.
8
Let c = 43 - 33. What is the remainder when 46 is divided by c?
6
Let z = 68 - 55. What is the remainder when 25 is divided by z?
12
Suppose -2*a = w, -a - 2*w - 2*w = 14. Suppose 18 - 58 = -2*i + 2*g, -3*g + 50 = a*i. Calculate the remainder when i is divided by 12.
10
Suppose 3*g = -4*c + c + 120, -3*g + 2*c = -100. Suppose 0 = -8*o + 10*o - g. Let i(y) = 8*y - 6. Calculate the remainder when i(5) is divided by o.
16
What is the remainder when 8 is divided by (-3)/(-5) + (-111)/(-15) + -4?
0
Suppose 3*k - k - 10 = 0. Let t be 4/14 - 300/21. Let s = 17 + t. Calculate the remainder when k is divided by s.
2
Suppose -5*j - 14 = -v, 3*v - 13 = -3*j + 11. Calculate the remainder when 25 is divided by v.
7
Suppose 0 = -w + 2*w - 6. Suppose -w - 4 = -5*k. Calculate the remainder when 4 is divided by k.
0
Suppose a + 70 = 4*i, 7*a - 79 = -5*i + 4*a. Calculate the remainder when 46 is divided by i.
