2*3/(-6) + 1. Suppose 2 = -b + u. Calculate the remainder when b is divided by 2.
1
Suppose -4*c - 4733 = -581. What is the remainder when c/(-30) - 6/10 is divided by 13 - (-1 + 4/2)?
10
Suppose -48 = -2*d - 2*d - 4*l, l - 60 = -5*d. Let t = d - 3. Calculate the remainder when 16 is divided by t.
7
Calculate the remainder when (-1*1)/(22/(-330)) is divided by (3 - -7) + 0 + -1.
6
Suppose 39 + 22 = 5*z + 3*n, -2*z + 18 = -2*n. Suppose 6 = f - 0*f. What is the remainder when z is divided by f?
5
What is the remainder when 32 is divided by 31/310 - (-109)/10?
10
Let v be -2 - (0 + (-2 - 0)). What is the remainder when (1 - -6)*(4 - -2) is divided by 1/2*v + 15?
12
Let s(c) be the first derivative of c**4/2 - 2*c**3/3 - 2*c - 4. Calculate the remainder when s(2) is divided by 2/8 - 7/(-4).
0
Suppose 0 = -5*a + a + 4*y + 20, 0 = -5*y - 10. Suppose -2*b + 15 = a*b. Calculate the remainder when (2*(-1)/(-6))/((-6)/(-126)) is divided by b.
1
Suppose -4*n + 20 = 0, n = 5*p - 5 - 15. Suppose p*d = 15, 3 = -2*r - 3*d + 8. Calculate the remainder when -6*(r - (-5)/3) is divided by 1.
0
Let a(y) = 8*y + 2. Let r(d) = d**2 + d - 4. What is the remainder when a(1) is divided by r(2)?
0
Let d(g) be the first derivative of -g**3/3 - 7*g**2/2 - 8*g - 1. Let t be d(-6). Calculate the remainder when (42/(0 - 3))/t is divided by 3.
1
Suppose 2*a + 11 = -1. What is the remainder when (-1)/(-1) + (-66)/(-18)*3 is divided by -14*(-2 - a/4)?
5
Let i = 16 - -24. What is the remainder when i is divided by 14?
12
Let t(h) = h**2 - 6*h + 1. Let g(f) = -f**2 - f + 1. Suppose -5*s + 0*s = 0. Calculate the remainder when g(s) is divided by t(6).
0
Suppose -5*i + 32 = d, 0 = -3*d - d - 4*i + 96. Suppose 4*a + d = 5*a. What is the remainder when 43 is divided by a?
21
Let b(p) = p**3 + 9*p**2 - 3*p - 13. What is the remainder when b(-7) is divided by 27?
25
Suppose 0 = 4*n + 3*d - 30 - 13, d = 4*n - 23. Calculate the remainder when 18 is divided by n.
4
Let m = -11 + 8. Let s(a) = 7*a**2 + 5*a + 2. Let z = 42 - 25. Calculate the remainder when s(m) is divided by z.
16
Calculate the remainder when 16 is divided by 3/2*20/6.
1
Suppose 0 = 5*a - 3*r - 195, 0 = -2*a - r - 2*r + 57. Calculate the remainder when a is divided by 15.
6
Let f(b) = -4*b - 21. Calculate the remainder when 32 is divided by f(-7).
4
Let s = 8 + -4. Suppose -45 = -5*a - s*m + 7, 4*m = -2*a + 28. Calculate the remainder when a is divided by 5.
3
Calculate the remainder when 3 is divided by 6/(-4)*(-24)/18.
1
Let j(p) = p**2 - 8*p + 4. Let x be j(8). Suppose -34 = -x*z + 38. Calculate the remainder when 34 is divided by z.
16
Suppose g = -3*v + 4, -6*g + 4*v = -g - 96. What is the remainder when 45 is divided by g?
13
Let w = 107 - 72. Suppose 0 = 2*s - w + 13. Calculate the remainder when (0 - 3)/(3/(-21)) is divided by s.
10
Let q(n) = n**3 + 4 + 2 - 2*n**3 - 5*n**2 - n. Suppose 4*f - 12 - 8 = -5*l, 16 = 4*l + 4*f. Calculate the remainder when q(-5) is divided by l.
3
Let k = 1 - 7. Let y be (-4 + 5)/(1/k). Let j(o) = -o**3 - 7*o**2 - 7*o + 7. Calculate the remainder when j(y) is divided by 5.
3
Let v(l) = -2*l + 9. Let x be v(5). Calculate the remainder when (5 + x)/(18/153) is divided by 9.
7
Suppose 2 = -c - 5*m + 7, -m + 1 = -2*c. Let s = -36 + 29. Calculate the remainder when 13 is divided by s/(-1*(1 - c)).
6
Let h be 2/10 + 48/10. Suppose 0 = -3*n - 3*j - 2*j + 16, -3*n + h*j = -56. What is the remainder when n is divided by 5?
2
Let h = -46 + 7. Calculate the remainder when 50 is divided by h*2/12*-2.
11
Suppose q - 45 = -2*i + 58, -2*i + 5*q = -85. Suppose 0 = g + 4*g - i. Let v = 50 - 22. What is the remainder when v is divided by g?
8
Calculate the remainder when (-4 - -1) + (2 - -48) is divided by 12.
11
Let b = -8 + 8. Suppose b = f - h - 2 - 28, -5*h - 69 = -2*f. What is the remainder when f is divided by 7?
6
Suppose 5*z - 101 + 1 = 0. What is the remainder when ((-76)/10)/((-2)/10) is divided by z?
18
Suppose 5*g + 20 = 0, -5*a - 3 + 28 = 5*g. Let l = 8 + a. Calculate the remainder when l is divided by 10.
7
Let t = -2 - -6. Calculate the remainder when 20 is divided by t/2 + 7 + 2.
9
Suppose 0 = -0*f + 5*f - 735. What is the remainder when f is divided by 30?
27
Suppose 3*w - 67 = 221. What is the remainder when w is divided by 33?
30
Suppose 40 + 9 = k. Let m = -38 + 63. What is the remainder when k is divided by m?
24
Suppose 3*a + 23 = 2*m - 13, 4*a + 8 = 0. Calculate the remainder when 43 is divided by m.
13
Let g(z) = z**2 + 8*z + 6. Let p be g(-8). Suppose 5*h + 20 = 0, 3*h = -y + 2*y - 17. Calculate the remainder when p/4*(-32)/(-6) is divided by y.
3
Let k(b) = -b**3 - 6*b**2 + 2*b. Calculate the remainder when 62 is divided by k(-7).
27
Let m(a) = -a**3 + 53. Let j be m(0). Let t = j - 37. Calculate the remainder when 62 is divided by t.
14
Let d(v) = -v**2 - 23*v - 43. What is the remainder when 83 is divided by d(-20)?
15
Suppose -k - 4*k = 0. Suppose 4*g = 2*h + 16, g + 2*h + 0*h - 14 = k. Calculate the remainder when 24 is divided by 29/2 + g/(-4).
11
Suppose 4*s + 14 - 2 = 0, 2*j + 2*s - 46 = 0. What is the remainder when j is divided by 15?
11
Suppose 4*b - 3*q + 15 = 0, 5*q - 41 + 16 = 0. Let t = b - 22. Calculate the remainder when 4/(62/t + 3) is divided by 6.
4
Let a(h) = h - 5. Let d be a(6). Let m be 3 + (1 - 2)*d. Suppose -f - l = -14, -27 = -m*f - l - 0*l. Calculate the remainder when 37 is divided by f.
11
Suppose -4*m - 29 = -5*r - 93, 0 = -4*m - 4*r + 28. What is the remainder when 53 is divided by m?
9
Let m = 12 + -7. Suppose -m*b = -5, -4*b - 6 = -s + b. What is the remainder when s is divided by 7?
4
Suppose -5*v = -0*v - 95. Calculate the remainder when v is divided by (2/(-6))/((-2)/66).
8
Let z be (-2 - 0 - -1) + 25. Suppose 0 = u - 28 - z. Suppose 3*a - u = -a. What is the remainder when 37 is divided by a?
11
Let x(i) = 10*i + 13. Calculate the remainder when x(4) is divided by 14.
11
Suppose -3*d + 92 = d. Suppose 2 = -4*u + 14. Suppose -u*b + 0*b = -36. Calculate the remainder when d is divided by b.
11
Let c(j) = j**3 + 5*j**2 - 6*j + 5. Let z be c(-6). Suppose 5*o = z*s - 60, 3*o + 11 = 26. Calculate the remainder when 32 is divided by s.
15
Suppose 2*r + 3 = 3*r. Suppose c + 4*v + r = 39, -3*c - 3*v = -90. Calculate the remainder when c is divided by 15.
13
Suppose 4*n - 119 - 153 = 0. Calculate the remainder when n is divided by 14.
12
Let q(i) = i - 3. Suppose 2*l - 10 = 0, 5*l - 17 = -0*s + 2*s. Let c be q(s). Calculate the remainder when -1*c - (-63)/3 is divided by 11.
9
Let s(k) = 2*k**2 + 7*k - 8. Let r(x) = -3*x + 6. Let w be r(4). Calculate the remainder when s(w) is divided by (-141)/(-12) - (11/4 + -3).
10
Let w be 0 - 3 - (1 - 5). Calculate the remainder when 48 is divided by (3/9)/(w/75).
23
Let f = -70 + 80. Let s(v) = -13*v - 17. Let z(i) = -4*i - 6. Let q(u) = 2*s(u) - 7*z(u). Calculate the remainder when q(f) is divided by 10.
8
Let f = 352 + -241. What is the remainder when f is divided by 28?
27
Let i = 67 - 0. Calculate the remainder when i is divided by 18.
13
Suppose -2*w = -x - 5, -7 - 8 = -3*x. What is the remainder when 13 is divided by w?
3
Suppose f + 10 = 2*f. Let t be (-24)/(-2)*4/12. Suppose -4*s + 36 = h + 3*h, 42 = 5*s + t*h. Calculate the remainder when f is divided by s.
4
Suppose 32 = 5*h + 77. Let j = h + 11. What is the remainder when 9/2 + (-1)/2 is divided by j?
0
Let h(a) = -a**2 - 17*a + 9. Calculate the remainder when h(-15) is divided by 21.
18
Suppose -45 = -3*v - 18. Let n(h) = h**3 - 8*h**2 - 3*h + 1. Calculate the remainder when n(v) is divided by 19.
17
Suppose 4*i = 20, 4*i = 4*g - 2*g - 26. Suppose 0 = x - 3*x + 12. Calculate the remainder when g is divided by x.
5
Let n(m) = m**2 - 3*m + 2. Let j be n(-4). Suppose -2*v - 85 = -2*t - v, -v - 128 = -3*t. Calculate the remainder when t is divided by (j/(-4))/(2/(-4)).
13
What is the remainder when (((-162)/(-5))/(-3))/(1/(-5)) is divided by 8?
6
Suppose 4*x + 62 = 3*c, -4*c + 0*x - 3*x + 116 = 0. Suppose -g - 5*h + 13 = -11, g + h - 12 = 0. Calculate the remainder when c is divided by g.
8
Let n(p) = -11*p - 31. Calculate the remainder when 117 is divided by n(-5).
21
Let p(x) = -x**2 + 21*x + 57. What is the remainder when 31 is divided by p(23)?
