hat is the remainder when b is divided by 6?
4
Let a(i) = -6*i**2 - 2*i - 3. Let k(g) = -g**2 + 1. Let z(b) = -a(b) - 4*k(b). Let d = 4 + -3. Calculate the remainder when 21 is divided by z(d).
10
Suppose 0 = 2*j - 6*i + i + 6, 0 = -j + i. Let s = -67 - -72. Calculate the remainder when s is divided by j.
1
Let b(t) = -t**2 + 3*t + 10. Suppose 5*u - 35 = 5*p, 4*p = -3*u - 7 - 0. What is the remainder when b(0) is divided by u?
1
Suppose 5*w = -2 - 8. Let k be (2 + 0)/(2/(-2)). What is the remainder when 1 is divided by (w/k)/(3/3)?
0
Let x(l) = 25*l**3. Calculate the remainder when 47 is divided by x(1).
22
Suppose 3*b = -0*b + 30. Let o = 66 - 63. What is the remainder when b is divided by o?
1
Let k(m) = -2*m**3 - m - 1. Let y(v) = -2*v + 1. Let j be y(1). Let i be k(j). Suppose -3*q = i*q - 35. What is the remainder when q is divided by 4?
3
Suppose 4*o - 6 - 66 = 0. Calculate the remainder when 69 is divided by o.
15
Suppose -3*l + 5*l = 946. Suppose 4*k = -77 + l. What is the remainder when k is divided by 34?
31
Let f(s) = -s**2 - 17*s - 32. What is the remainder when f(-11) is divided by 5?
4
Suppose 3*l - 148 = -43. What is the remainder when l is divided by 9?
8
Suppose 4*v = 0, -3*v = a - 383 - 2. Suppose 5*u = a - 130. Suppose -5*b = -0*q + 5*q - 195, -q - 4*b + u = 0. What is the remainder when q is divided by 12?
11
Let j(p) = 1 + 7*p**2 - 3*p**3 - 2 + 4*p**3 - 2*p**3 - 2*p. Let d(f) = 13*f**2 - 2*f + 1. Calculate the remainder when j(6) is divided by d(1).
11
Let r = -8 - -10. Suppose -5 + r = -n. Calculate the remainder when n is divided by 3.
0
Let x = 6 - -5. Let q = 221 - 147. Calculate the remainder when q is divided by x.
8
Suppose -3*a + 7*a = 440. Suppose -a = -6*c + c. Let j = c - 15. What is the remainder when 12 is divided by j?
5
Suppose 2*o - 114 = -4*n, -5*o = 5*n + 7 - 142. What is the remainder when 178 is divided by n?
28
Let h(n) = n**2 + 4*n + 3. Suppose -4*m + 2*u - 5*u = -48, 27 = m - 3*u. What is the remainder when m is divided by h(-5)?
7
Let x = 2 - 7. Let k = x + 5. Suppose -3*l = -0*j - j - 91, -4*l - 2*j + 108 = k. What is the remainder when l is divided by 10?
9
Let a(w) = -w**3 - 4*w**2 + 5*w. Let d be a(-5). What is the remainder when 35 is divided by (d + 4)/(2/9)?
17
Let d(y) = y + 5. What is the remainder when 16 is divided by d(1)?
4
Let y(v) = v**3 - 4*v**2 - 5*v + 5. Let u be y(5). Let n = u + -3. Suppose 3*s - 2 = 2*s. What is the remainder when s is divided by n?
0
Let m = 32 - 11. Suppose -3*h - 12 = y, h = -5*y - 0*h - 60. Let d = y + m. Calculate the remainder when d is divided by 5.
4
Let r = -14 + 67. What is the remainder when r is divided by 15?
8
Let d be ((-100)/8)/5*-2. Suppose 5*b + 65 = 3*k, -d*k + 3*b = b - 83. What is the remainder when k is divided by 6?
3
Suppose -192 = -19*q + 15*q. What is the remainder when q is divided by 14?
6
Let k(i) = -i**3 - 7*i**2 - 7*i + 8. Let q be k(-6). What is the remainder when (-1 + -16)*(-8)/4 is divided by (-12)/(-42) - (-164)/q?
10
Let v = -39 - -56. What is the remainder when 47 is divided by v?
13
Suppose -24 = -2*o - 0*o. Calculate the remainder when 37 - -2*(0 - 1) is divided by o.
11
Let v(j) = -2*j - 22. Let l(c) = -c - 9. Let d(x) = 12*l(x) - 5*v(x). Let a = -21 - -44. Calculate the remainder when a is divided by d(-3).
7
Suppose -65 = -2*k - 3*k. Calculate the remainder when 21 is divided by k.
8
Let q be (-30)/(-9) - (-2)/(-6). Suppose 0 = q*s - 2*s. Suppose 52 = -s*x + 4*x. Calculate the remainder when x is divided by 5.
3
Let h = 116 - 200. Let g = h + 124. Let w = g - 29. Calculate the remainder when w is divided by 7.
4
Suppose -5*w + 15 = -0*w. Let f = 6 - w. Suppose 5*b - f*b = 2, 0 = 3*s - 2*b - 43. Calculate the remainder when s is divided by 8.
7
Suppose 0*g - 4*g + 28 = 0. Suppose -m + 7 + 0 = 4*a, -5*a = m - g. Let f = m - 5. What is the remainder when 6 is divided by f?
0
Suppose 0*y + y - 4 = 0. Let q(u) = u**3 + 3*u**2 - 4*u - 3. What is the remainder when 16 + y + -3*1 is divided by q(-3)?
8
Let v(l) = 3*l - 7. What is the remainder when 41 is divided by v(6)?
8
Suppose 4*g = 5*u + 8, 5*u = -0*u. Let i be (g + -1)/((-3)/(-15)). Suppose i*r = 91 + 84. What is the remainder when r is divided by 12?
11
Let q = -136 + 164. What is the remainder when q is divided by 17?
11
Let v(a) = -a**3 - 3*a**2 + 2*a + 1. Let k be v(-4). Let o = k - -42. Calculate the remainder when o is divided by 18.
15
Suppose 26 + 46 = 8*u. What is the remainder when 52 is divided by u?
7
Let i(r) = 21*r - 95. What is the remainder when i(7) is divided by 6?
4
Let z be ((-975)/6)/(-5)*-2. Let q = 126 + z. What is the remainder when q is divided by 21?
19
Suppose -2*i = -4*c - 28, -2*i + c = -1 - 18. What is the remainder when 22 is divided by i?
6
Let y(j) = j**3 - 4*j**2 - 6*j + 5. Let q be y(5). Suppose -3*k + p + 35 = 0, -k + q*k - p = -13. What is the remainder when 108/5 + (-2)/(-5) is divided by k?
10
Let h = 42 + -27. Let y = 29 - h. What is the remainder when 55 is divided by y?
13
Let s = -4 - -36. Calculate the remainder when s is divided by 11.
10
What is the remainder when ((-52)/16)/((-2)/64) is divided by 35?
34
Let w be (-5)/1 + (-1 - 1). Let t = 11 + w. Suppose 12 = -t*d + 36. What is the remainder when 9 is divided by d?
3
Let d be -1*(-3)/(-3) + -9. Let y = 17 + d. Let f = 2 + y. What is the remainder when 17 is divided by f?
8
Suppose i + 3 - 12 = 0. Let h = 7 - 3. Let x(v) = v. What is the remainder when i is divided by x(h)?
1
Suppose -x - h + 24 = 0, 6*x = 4*x + 2*h + 40. What is the remainder when 38 is divided by x?
16
What is the remainder when ((-72)/108)/(-2*(-2)/(-846)) is divided by 36?
33
Suppose y - 2 = -0*y. Let g(d) = -1 - d - d + 2*d**y - 5*d. What is the remainder when g(5) is divided by 8?
6
Suppose 2*c = 3*f + 14, 5*c - 2*f - 34 - 1 = 0. Let p = 37 - 11. What is the remainder when p is divided by c?
5
Suppose -4*y = -5*y + 14. What is the remainder when 54 is divided by y?
12
Suppose 3*k - 95 - 60 = -2*r, -1 = -r. What is the remainder when k is divided by 27?
24
Suppose 0 = 3*l - 3*j, 4*l + 4*j - 24 - 16 = 0. Let m(k) = -l - 5*k + 0 + 2. Calculate the remainder when 19 is divided by m(-2).
5
Suppose 5*p - 6*p = -2*f + 129, 4*f + 5*p - 251 = 0. Suppose 0 = 5*k + 9 - f. Calculate the remainder when 21 is divided by k.
10
Let j be 2/(-2 - 2)*0. Suppose j = t + t - 16. What is the remainder when (58/(-4))/((-4)/t) is divided by 10?
9
Let f(u) = 3*u**3 + 2*u**2 + 2*u + 1. Let h be f(-1). Calculate the remainder when (-3)/h*434/21 is divided by 8.
7
Let h = 27 - -5. Calculate the remainder when h is divided by 7.
4
Suppose -4*y + 4*a + 17 = 3*a, 5*a = -2*y - 19. What is the remainder when 18 is divided by y?
0
Suppose 0 = 2*o - 0*o - 30. Suppose 2*r - 26 - 10 = -5*u, -o = -5*r. What is the remainder when 22 is divided by u?
4
Suppose 6*v = 3*v + 24. What is the remainder when 23 is divided by v?
7
Let i = -72 + 88. Calculate the remainder when 28 is divided by i.
12
Let p(z) = 56*z**2 + 2*z - 1. Suppose -4 = -7*k + 3*k. Let t be p(k). Let x = t + -19. Calculate the remainder when x is divided by 13.
12
Let t(j) = -j**2 - 10*j - 1. What is the remainder when t(-7) is divided by 2?
0
Suppose 2*l = 5*q - 3*l - 195, q - 33 = -2*l. What is the remainder when 73 is divided by q?
36
Suppose 15*r + 100 = 19*r. Calculate the remainder when 74 is divided by r.
24
Suppose -24 = -5*f - 4*n, 0*n = -f - 5*n - 12. Let r(m) = m**2 + 3*m - 1. Calculate the remainder when f is divided by r(-4).
2
Let i = 4 + 0. Let d = 7 + 0. Suppose -n + i = 3*g, -4*n - 7 - d = -3*g. Calculate the remainder when 2 is divided by g.
0
Let k = 20 - 19. What is the remainder when -4*(-2)/4 + -1 is divided by k?
0
Suppose 4 = -t, 2*t = h + 7*t + 8. Let j = -2 + h. Let b = j - 5. What is the remainder when 14 is divided by b?
4
Let a be 52/20 - (-4)/10. Suppose 0 = 3*d + 2*d + 5. Let q = a + d. What is the remainder when 4 is divided by q?
0
Let j = -8 + 67. What is the remainder when j is divided by 15?
14
Let j = 5 + -3. Let y(x) = x**2 - 7*x + 1. Calculate the remainder when y(7) is divided by j*(2/(-4))/(-1).
0
Suppose 3*d = -5*q + 41, 5*d - q - 89 = q. Calculate the remainder when 83 is divided by d.
15
Let n be 310/6 - (-9)/27. Let j = n + -27.