= -p + z + 20. What is the remainder when 51 is divided by p?
9
Suppose 11 = 5*r + 1. Suppose 5*q - 218 = -4*u, 3*q - 147 = -r*u + 5*u. Calculate the remainder when q is divided by 12.
10
Let y(a) = -2*a - 9. Calculate the remainder when (-21)/(-2)*(-12)/(-3) is divided by y(-10).
9
Let s = 9 + 4. Calculate the remainder when (-4 - (-77)/14)*16 is divided by s.
11
Suppose 2*d - 3*j = 67 + 19, -3*j = -12. Calculate the remainder when d is divided by 17.
15
Let f(a) = -a**3 + 8*a**2 + 2*a - 2. What is the remainder when f(7) is divided by 21?
19
Suppose -4*u = -2*u - 32. Calculate the remainder when 47 is divided by u.
15
Let s(u) = u**2 - 10*u + 6. What is the remainder when 50 is divided by s(11)?
16
Let w = -31 - -45. Suppose 5*o + 72 = 2*a, 0 = 3*o + 4*a - 0*a + 64. What is the remainder when (-1 - 9/6)*o is divided by w?
12
Let l = -9 + 16. What is the remainder when 11 is divided by l?
4
Let h = 159 - 110. Suppose -5 = -2*v + h. What is the remainder when 107 is divided by v?
26
Suppose -3*v - 2*v - 31 = -2*t, 2*t + 3*v = -9. Suppose a + 26 = t*a. What is the remainder when 37 is divided by a?
11
Suppose 0 = -6*c + 2*c + 56. Suppose 0*m - 5*u = -2*m + 27, 4*m = -u + 21. What is the remainder when (-4)/12 + c/m is divided by 2?
0
Suppose w = 2*w - d - 13, -4*w - d = -42. What is the remainder when ((-126)/30)/((-1)/5) + 0 is divided by w?
10
Let a(z) = z**3 - 9*z**2 + 11*z - 22. What is the remainder when a(9) is divided by 16?
13
Suppose -2*k = 11 - 1. Let n = k - -9. Calculate the remainder when 10 is divided by n.
2
Let b = -5 - -18. What is the remainder when b is divided by 6?
1
Let t = -12 + 25. What is the remainder when (-1 - 0)/(1/(-37)) is divided by (4/(-2))/(-2)*t?
11
Let t be ((-1)/(-3))/((-2)/6). Let h be t - (2 + -2 + -1). Suppose -v + 5*v - 124 = h. Calculate the remainder when v is divided by 11.
9
Let t = -1 + 8. Calculate the remainder when 25/4*(4 - 0) is divided by t.
4
Suppose -13*h + 9*h = 0. Suppose 5*k - 83 - 27 = h. What is the remainder when k is divided by 5?
2
Let b = -32 + 42. What is the remainder when 36 is divided by b?
6
Suppose 5 - 2 = 3*b. Suppose -5*u - 18 + 3 = 0. Let q = 4 + u. What is the remainder when b is divided by q?
0
Suppose 4*s - 3*i = 616, -4*i + 770 = -4*s + 9*s. Calculate the remainder when s is divided by 31.
30
Let h be 0 + 3 + 10 + -3. Suppose -3*o + h = -11. What is the remainder when 20 is divided by o?
6
Let h = -10 + 7. Calculate the remainder when -87*(0 + h/9) is divided by 10.
9
Let r be ((-12)/20)/(1/5). Let v be ((-4)/r)/((-4)/(-126)). Suppose z + 4*z - 71 = -c, -v = -2*z + 3*c. What is the remainder when z is divided by 9?
6
Let a be 10/((-5 + 3)/2). Let i = 18 + a. Calculate the remainder when 14 is divided by i.
6
Suppose -12*l = -7*l - 155. What is the remainder when 91 is divided by l?
29
Suppose 4*z + 0*z = 64. What is the remainder when 62 is divided by z?
14
What is the remainder when -1*(1 - -55)/(-4) is divided by 8?
6
Suppose -2*m - 5 = s - 31, 0 = 2*s - m - 52. Calculate the remainder when s is divided by 13 - (12/2 - 2).
8
Calculate the remainder when (-4)/8*-8 + 77 is divided by 28.
25
Let f = 27 - 18. Let p(y) = 2*y**3 - 3*y**2 - 3*y - 3. Calculate the remainder when p(3) is divided by f.
6
Let k be (-18)/(-30) - (-272)/5. Suppose 5 + k = 4*j. Calculate the remainder when 29 is divided by j.
14
Let n be ((-20)/15)/((-8)/18). Suppose -9 = n*q - 186. What is the remainder when q is divided by 15?
14
Suppose -5*m = -3*m + 40. Let i = m - -27. Calculate the remainder when 25 is divided by i.
4
Let t be ((-6)/(-4))/((-3)/(-10)). Suppose -x + 27 = t*a, 3*a - x + 5*x - 6 = 0. Suppose 2*u - 12 = -u. Calculate the remainder when a is divided by u.
2
Suppose 0 = -0*q + 2*q + 14. Let o(s) = s**3 + 8*s**2 + 7*s + 6. Calculate the remainder when o(q) is divided by 4.
2
Let y be (-134)/(-8) + 2/8. Let j = y + -7. Suppose -36*n + 551 = -17*n. What is the remainder when n is divided by j?
9
Suppose -5*k + 5*f = -160, -3*k - 3*f - f = -75. Suppose 3*g = -4*u + 59, 2*g - 9 = -4*u + k. What is the remainder when g is divided by 11?
10
Let s = -77 + 86. What is the remainder when 50 is divided by s?
5
Suppose i - 4 = -2*c, 3*i - 38 = i + 2*c. What is the remainder when 39 is divided by i?
11
Suppose -4*l + 7 - 55 = -4*z, 3*z - 40 = 4*l. Suppose -f - 412 = -3*f. Calculate the remainder when f/14 - 12/(-42) is divided by z.
7
Suppose -14 = -z - 2*p, -5*z + 9*p + 10 = 4*p. Suppose 0*u + 2*k + 36 = 3*u, -5*k - 5 = u. What is the remainder when u is divided by z?
4
Suppose u = 4*u - 21. Calculate the remainder when 22/((2 + -6)/(-2)) is divided by u.
4
Let r be (0 + 1)*(3 + -4). Let x(f) = -19*f. What is the remainder when 55 is divided by x(r)?
17
Suppose 0 = -b + 5*b - 116. Suppose 4*p + 3*j = 79, -6 = -3*p - 3*j + 57. Calculate the remainder when b is divided by p.
13
Let x = 11 + -7. Suppose -x*n + 140 = 40. What is the remainder when n is divided by 13?
12
Let m(q) = q**2 - 7*q + 9. Calculate the remainder when 10 is divided by m(6).
1
Suppose -2*l + 2*s + 26 = 3*l, -2*l = -5*s - 2. Calculate the remainder when 15 is divided by l.
3
Suppose 0 = -3*c, 3*t - 27 = -c + 3*c. Calculate the remainder when 25 is divided by t.
7
Let b(d) = 2*d**2 - 4*d - 8. What is the remainder when 86 is divided by b(5)?
20
Suppose -11*u = -550 - 968. What is the remainder when u is divided by 47?
44
Suppose 0 = -i + 85 - 14. Calculate the remainder when i is divided by 18.
17
Let t(u) = u**2 + 8*u + 1. Let x be t(-9). Let v(j) = -j**3 + 9*j**2 + 10*j + 2. What is the remainder when 2 is divided by v(x)?
0
Let y = 164 - 158. What is the remainder when 118 is divided by y?
4
Let x be 0 - (2 - 0) - -1. Suppose -5*w + 5*g = -45, 2*g = 2*w - 3*w + 21. Calculate the remainder when w is divided by -2 - x - 18/(-3).
3
Suppose 39 = c - 15. Suppose -c = -3*i - 237. Let p = i + 104. What is the remainder when p is divided by 15?
13
Let f = -1 - -8. Let u(h) = h**2 - h - 3. Let j(d) = 3*d**2 - 2*d - 6. Let g(a) = 2*j(a) - 5*u(a). Calculate the remainder when f is divided by g(0).
1
Suppose -2*c - c - 2*n = 5, 0 = -3*c - n - 10. What is the remainder when 9 is divided by ((-2)/(-3))/(c/(-45))?
3
Suppose -u + 52 + 14 = 2*s, 4*s + 288 = 5*u. What is the remainder when u is divided by 31?
29
Let d(r) = r**3 + 8*r**2 + 4*r - 8. Let b = -11 - -19. Calculate the remainder when d(-7) is divided by b.
5
Suppose 5*a - 5*u + 5 = a, 4*a + 4*u = 4. Suppose -4*x = 13 - 1, a = -3*f - x + 3. What is the remainder when 4 is divided by f?
0
Suppose -2*a - 162 = -6*a + b, -5*a + 199 = -3*b. Suppose -3*v = 2*j - 22 - 34, 5*j + 113 = 4*v. Calculate the remainder when a is divided by v.
19
Let k(l) = l**2 - 10*l + 28. What is the remainder when 52 is divided by k(10)?
24
Let c(w) = w + 10. Let g be c(-9). Let d be (-12)/(-15) - g/(-5). What is the remainder when (15 - (1 - -1))*d is divided by 5?
3
Calculate the remainder when 59 is divided by (-332)/(-20) + 10/25.
8
Suppose 4 = -n + 9. Suppose 14 = 3*p + 2*r, -n*p + 0 + 21 = r. Calculate the remainder when 7 is divided by p.
3
Let r be 3956/(-10) + (-2)/5. Calculate the remainder when (1 - 2)/(6/r) is divided by 17.
15
Suppose -r + 12 = -4. Suppose -2 + 4 = h. Suppose h = t + 3*l - 4, 6 = t - 5*l. What is the remainder when r is divided by t?
4
Let v = 25 + -20. Calculate the remainder when 17 is divided by v.
2
Let d(z) = -z**2 + 24*z - 14. Let h be d(11). Suppose 5*j + 4*b = h, -j + 2*j = 3*b + 22. What is the remainder when j is divided by 7?
4
What is the remainder when (19/(-4))/(5/40*-1) is divided by 10?
8
Suppose -2*o = 3*x + 32, x - 16 = 3*o - o. Calculate the remainder when 13 is divided by (-3)/(-15) - 48/o.
3
Let v be (-3)/((-21)/9 + 2). Suppose v*s = 6*s + 12. What is the remainder when 13 is divided by s?
1
Calculate the remainder when 28 is divided by 115/10 + 6/(-4).
8
Suppose 102 + 28 = 5*k. Calculate the remainder when 77 is divided by k.
25
Let g(r) = -5*r - 3. Let m be g(-2). Suppose 0 = 2*v + 18 - 22. Suppose -v*l = -m*l + 10. Calculate the remainder when 2 is divided by l.
0
Let g(u) = u**3 - u**2 - u + 10. Let f = 3 + -3. Let m be g(f). Calculate the remainder when 57 is divided by m/(-4*1/(-6)).
12
Let t = -26 + 8. Let h(q) = -q - 1. Calculate the remainder w