8
Let a(s) = -s + 8. Let p be a(6). Suppose p = h - 12. Calculate the remainder when h is divided by 3.
2
Suppose -5*g + 18 = 2*n, 2*n - 17 = -3*g + 1. Suppose n*u = 4*u. Suppose -36 = -4*a - 2*d - 2*d, a - 2*d + 3 = u. What is the remainder when 8 is divided by a?
3
Let k(o) be the third derivative of o**5/60 + o**3/2 - 27*o**2. Suppose 2*y + 5 = -1. What is the remainder when 23 is divided by k(y)?
11
Suppose 16*o - 2*o = 1890. Calculate the remainder when o is divided by 23.
20
Let t be (1 + 21)*(-21)/14. Let z = -19 - t. Suppose 2*s - s + 161 = 4*i, 4*s = i - 44. Calculate the remainder when i is divided by z.
12
Suppose -7*u = -5*u - 10. Suppose -2*b - 1 = -u. What is the remainder when (-2)/(0 + -2) + 4 is divided by b?
1
Suppose -2*b - 3 = -3*b. Suppose 0 = 3*v - d - 33, -2*d + 39 = b*v - d. What is the remainder when 23 is divided by v?
11
Suppose 2*i = i - 2. Calculate the remainder when i + (-5)/((-10)/104) is divided by 17.
16
What is the remainder when 75 is divided by 36 + -17 - 3*1?
11
Let j(k) = -k**2 + 4. Let q be j(0). Suppose 0*z = -3*z + v + 20, -4*z = q*v - 48. Calculate the remainder when 22 is divided by z.
6
Let z be 2 + -5 - (0 - 2). What is the remainder when (-2)/4*64/z is divided by 11?
10
Suppose -4*c + 3 = -29. Calculate the remainder when -6 - -4 - (-4 + -13) is divided by c.
7
Let z = -13 + 28. Let m(f) = 4*f**2 - 4*f - 4. What is the remainder when m(-3) is divided by z?
14
Suppose 0 = x - 9 - 7. Let f(t) = -2*t - 2. Let y be f(-2). Suppose -2*r + 120 = y*r. Calculate the remainder when r is divided by x.
14
Suppose -3*m = 3*i - 15, 0*m + m - 4*i + 10 = 0. Suppose 5*h - m*h + 3*r = 45, r = 2*h - 24. What is the remainder when 51 is divided by h?
12
Calculate the remainder when 42 is divided by 88/(-3)*3/(-4).
20
What is the remainder when (2*-2)/(1 + 48/(-44)) is divided by 15?
14
Let z = 15 - -12. Suppose 0 = -4*b + 19 - 3. Suppose -z - 13 = -b*k. Calculate the remainder when 29 is divided by k.
9
Let k be (49 - 1) + -1 - -1. Let f(m) = 3*m + 8. Let z be f(6). Let o = k - z. Calculate the remainder when o is divided by 12.
10
Suppose -237 = -0*q - 3*q. What is the remainder when q is divided by 16?
15
Calculate the remainder when (18/(-10))/(3/(-20)) is divided by (-1)/(1*(-2)/14).
5
Let y = -112 + 124. What is the remainder when 2*-23*2/(-4) is divided by y?
11
Let v(o) = o**2 + 8*o - 19. What is the remainder when 53 is divided by v(3)?
11
Let v(p) = -3*p - 8. Let n = -11 - -6. What is the remainder when 11 is divided by v(n)?
4
Suppose -a - 2 = -8. Suppose n + z - 44 - 10 = 0, 5*z = -n + 50. Suppose -n = -6*w + w. Calculate the remainder when w is divided by a.
5
Suppose 4*w = u + 120, -2*u = -3*w - 0*u + 85. Let g(l) = -4*l - 5. Let t be g(-4). Suppose 0*c = -c + t. Calculate the remainder when w is divided by c.
9
Let j = 23 + -16. Let s = j + -5. Calculate the remainder when (-8 - (-4)/1) + 8 is divided by s.
0
Suppose 61 = 5*z - 2*g, -5*z = -5*g + 4*g - 63. What is the remainder when z is divided by (-15)/(-18)*(-3)/(-6)*12?
3
Let u be (-8)/44 - (-114)/22. Let a(o) = o**3 - 4*o**2 - 5*o + 2. Calculate the remainder when 2 is divided by a(u).
0
Let a(z) = -7 + 7 - 14 - z**2 - 12*z. Let q = -13 - -75. Calculate the remainder when q is divided by a(-7).
20
Let g = 81 + -2. Calculate the remainder when g is divided by 10.
9
Let p(z) = -z**2 - 13*z - 18. Calculate the remainder when 9 is divided by p(-11).
1
Let s be 10/1*(-2)/(-4). Suppose -5 = -s*n - 0*d - 3*d, 5*n = 2*d + 30. Calculate the remainder when n is divided by 0 + -1 + 6/2.
0
Suppose 7*r = 2*r + 20. Suppose r = 4*a - 68. Calculate the remainder when 69 is divided by a.
15
Suppose 5*w = -4*g + 68, 2*w = -5*g - w + 72. Calculate the remainder when 47 is divided by g.
11
Let j = -4 + 11. Suppose -2*m = -5*u + 6, 0 = -4*m - 0*m + 4*u. Suppose -10 - m = -4*s. Calculate the remainder when j is divided by s.
1
Suppose -1 = -4*o - 2*m - m, 3*m = 4*o - 31. Calculate the remainder when 4 is divided by o.
0
Let d(u) = -31*u + u**2 + 2*u**2 + 32*u. Calculate the remainder when 18 is divided by d(-2).
8
Suppose -14 + 6 = -4*q. Suppose 7*x + v - 97 = 3*x, -4*x + 72 = -4*v. Suppose -q*i = -3*i + x. What is the remainder when i is divided by 8?
7
Let u be 3/(-3 - 0)*-11. Let l = -68 - -126. Calculate the remainder when l is divided by 17/1 - (8 - u).
18
Suppose 4*p = 6 + 6. Suppose 0 = -p*z - 0*z. Suppose z = 3*v - 5*q - 37, 0 = 4*v + 2*q - 0*q - 84. What is the remainder when v is divided by 10?
9
Let d(n) = -n - 4. Let a be d(-5). Calculate the remainder when 4 is divided by 4*(1 + a/(-2)).
0
Let q(o) = o**3 - o**2 - o + 2. Let z(t) = -t**3 - 3*t**2 + 4*t + 2. Let l be z(-4). Calculate the remainder when 7 is divided by q(l).
3
Suppose -5*g - 7 = 28. Let k = g - -9. What is the remainder when k is divided by (-8)/(-20)*5*1?
0
Suppose 54 = 5*x - 11. Suppose 3*r - 97 = 14. Calculate the remainder when r is divided by x.
11
Suppose t = 5, -13 = 4*w - t - 4*t. Calculate the remainder when 11 is divided by w.
2
Let g(f) = 2*f + 8. What is the remainder when 38 is divided by g(6)?
18
Let f(n) be the third derivative of -n**4/24 - 17*n**3/6 - 3*n**2. Let y be f(0). Let m = y + 29. Calculate the remainder when 22 is divided by m.
10
Let q be ((-144)/(-30))/(3/(-10)). Calculate the remainder when 6/(-4)*q/6 is divided by 3.
1
Calculate the remainder when 721/14 + 3/(-2) is divided by 13.
11
Suppose 5*j = 3*t + 17, j - 10 + 1 = -5*t. Calculate the remainder when 8 is divided by t/2 - (-9)/2.
3
Let d be 3/(2/((-20)/(-6))). Suppose d*q = 2*q + 30. Let w = 9 + q. What is the remainder when w is divided by 10?
9
Let i be ((-4)/10)/(6/(-30)). Calculate the remainder when 24 is divided by i/6*39/1.
11
Let v(n) = -n**2 - 5*n - 2. Let u be v(-6). Let q(s) = -s + 3. Calculate the remainder when 21 is divided by q(u).
10
Let n = -94 + 177. Calculate the remainder when n is divided by 21.
20
Let w = -17 - -32. What is the remainder when w is divided by 6?
3
Let p be 121/4 + 3/(-12). Let f = p - 5. Calculate the remainder when f is divided by 13.
12
Let v(h) = -13*h - 19. What is the remainder when v(-9) is divided by 34?
30
What is the remainder when 107 is divided by (0 - -4) + -3 - -21?
19
Suppose 0 = 4*o - 2*z + 7*z - 2, 2*z = -o - 1. Calculate the remainder when (1 + -2)/(5/(-15)) is divided by o.
0
Suppose -g = -2*g. Let j = 9 + g. What is the remainder when j is divided by 5?
4
Let a(w) = w**3 - 7*w**2 + 6*w - 11. Let s(z) = 3*z**3 - 21*z**2 + 18*z - 32. Let g(u) = 8*a(u) - 3*s(u). Calculate the remainder when 22 is divided by g(6).
6
Suppose 0*q + 22 = q. Suppose -x - 3*x + 28 = 2*t, -3*x = -t - 26. What is the remainder when q is divided by x?
6
Suppose 15 = 3*n + 87. Suppose 4*l + 2*d = 70, 3*l - 45 = -d + 2*d. Calculate the remainder when l is divided by n/10*5/(-2).
4
Calculate the remainder when 49 is divided by 240/32*(-4)/(-3).
9
Let g(i) = -i + 5. Let w be g(5). Let a be 65/20 + (-3)/(-4). Suppose -t + a = -w. What is the remainder when 10 is divided by t?
2
Let f be (20/(-6))/(1/6). Let d = -5 - f. Let r(g) = -43*g**3 - g**2 - 2*g - 1. What is the remainder when r(-1) is divided by d?
13
Let z(n) = n**2 - 5*n - 2. Let w be z(6). Suppose -w*f + 29 = y, 2*y + 5*f - 14 = 44. Calculate the remainder when y is divided by 15.
14
Let h = -24 - -47. Calculate the remainder when 42 is divided by h.
19
Suppose 4*x = 2*x + 6. Let n be ((-3)/(-4))/(6/24). Suppose -x = n*r - 12. What is the remainder when 4 is divided by r?
1
Let h = 40 + -23. Suppose h = -0*t + t. Calculate the remainder when 65 is divided by t.
14
Let g(q) be the second derivative of -3*q**3/2 - 2*q**2 - 2*q. What is the remainder when g(-5) is divided by 22?
19
Let o(m) = 3*m - 5. Suppose -7 = 2*k - 5*b - 54, -2*b = 3*k - 118. Suppose 5*r - 4 = k. Calculate the remainder when o(9) is divided by r.
6
Let c be -4 + (0 - -2) - -2. Suppose c = -y - x + 7, -3*x = 2*y - 4 - 5. What is the remainder when 4/(-10) - (-117)/5 is divided by y?
11
Let n = 10 + -7. Calculate the remainder when 10 is divided by n.
1
Let q = -55 + 99. Suppose -59 - 1 = -4*j. What is the remainder when q is divided by j?
14
Let x be (5 + -4)*5*1. Suppose x*k + 67 = 192. Calculate the remainder when k is divided by 7.
4
Suppose 4*t + 14