 the remainder when 12 is divided by u.
5
Suppose -s - 4*s = -60. Suppose -3*r + 70 = -r. What is the remainder when r is divided by s?
11
Suppose -2*t + t + 341 = 5*a, 0 = -a + 2*t + 77. Calculate the remainder when a is divided by 20.
9
Suppose -4*h + 58 = -5*i, 4*h - h - 3*i = 42. Suppose 46 = 3*x - 95. Calculate the remainder when x is divided by h.
11
Let c(m) = 3*m**2 - 3. Calculate the remainder when c(6) is divided by 27.
24
Let h be 70/(-9) + (-4)/18. Let k = h - -18. Calculate the remainder when 38 is divided by k.
8
Let l(k) = -k**2 + 7*k + 6. What is the remainder when 47 is divided by l(6)?
11
Let w(k) = 7*k + 8. Let b(d) = -d**3 + 7*d**2 + 2*d + 8. Suppose 0 = -4*q + 12 + 16. Calculate the remainder when w(8) is divided by b(q).
20
Let j = -2 + 5. Suppose -j*v - 3*i = -72, -8*i - 88 = -4*v - 4*i. What is the remainder when v is divided by 5?
3
Let l(h) be the second derivative of h**3/6 + 3*h**2/2 - h. Calculate the remainder when ((-26)/(-5))/(4/20) is divided by l(6).
8
What is the remainder when 20 is divided by 8 + (12*-1)/3?
0
Let u = -56 + 221. What is the remainder when u is divided by 24?
21
Suppose -i + 3*i - 64 = 0. Suppose 5*w - 2*w = -6, -x + 4*w = -19. Calculate the remainder when i is divided by x.
10
Let r be (10/(-6))/((-2)/(-12)). Let p be 12/20 + 76/r. Let s(a) = a**3 + 8*a**2 + 8*a + 9. Calculate the remainder when 4 is divided by s(p).
0
Suppose j = -r + 5, -4*r + 3*j + 3 = -3. Let l = 185 - 127. What is the remainder when l is divided by 30*r*(-4)/(-18)?
18
Let t be 0 + 2 + -52 - -2. Let f = t - -67. What is the remainder when (-1296)/(-12)*(-2)/(-4) + 1 is divided by f?
17
Suppose 4*z - 7*t - 35 = -4*t, -5*t = 4*z - 27. What is the remainder when 19 is divided by z?
3
Suppose -1 = -4*h + 7. Let v = 12 + h. Suppose -s - 4*s = -d + v, 3*d = 4*s + 42. Calculate the remainder when 27 is divided by d.
13
Let b be (-16 + 4)*(-1)/(-2). What is the remainder when (4/b)/(2/(-6)) is divided by 1 + (0 - -1)/1?
0
Let c be (-3*1)/((-1)/2). Suppose 1 + 5 = c*p. Calculate the remainder when p is divided by 1.
0
Suppose 6*g - 8*g = -24. What is the remainder when 21 is divided by g?
9
Let z(y) = -y**2 - 17*y - 7. Let t be z(-16). Suppose -3*i + 23 = m, -i - 5*m + t = -6*m. What is the remainder when 28 is divided by i?
4
Calculate the remainder when 251 is divided by 8/(40/3) + 87/5.
17
Calculate the remainder when 75 is divided by (-108)/252 + (-188)/(-14).
10
Suppose 0 = -5*x + 3*x + 24. Suppose -u - 3*q - q + 6 = 0, -4*u - 4*q = -72. Calculate the remainder when u is divided by x.
10
Let d(c) = -3*c + 0 - 4*c - 4 - 3. Calculate the remainder when d(-10) is divided by 16.
15
Suppose -12*d + 13*d - 25 = 0. What is the remainder when d is divided by 16?
9
Let r(z) = z**3 - 13*z**2 - z + 17. Let c be r(13). Suppose i = -c*f - 0*f + 132, 3*f + i = 98. What is the remainder when f is divided by 18?
16
Let c = 38 + -26. Suppose 2 + 1 = -f - 2*n, -4 = -4*n. Let p(z) = -9*z. What is the remainder when p(f) is divided by c?
9
Let i(n) = -2*n - 30. Calculate the remainder when 7 is divided by i(-17).
3
Let d(k) = -2*k - 20. What is the remainder when 23 is divided by d(-14)?
7
Let v = 0 + 8. Let o = 6 - 8. What is the remainder when v is divided by o/(-2) - 16/(-4)?
3
Let r = -9 + 18. Calculate the remainder when 35 is divided by r.
8
Suppose 2*y - y = 7. Calculate the remainder when y is divided by (-10)/35*(-9 + 2).
1
Let x(t) = -t**3 - 11*t**2 - 13*t - 12. Calculate the remainder when 70 is divided by x(-10).
16
Suppose 16 = 3*m - 86. What is the remainder when m is divided by 18?
16
Suppose -255 = -3*p - 2*p. Calculate the remainder when p is divided by 9.
6
Let c(n) = n**3 - 4*n**2 + 9*n - 15. Suppose 4*a - 21 = 55. What is the remainder when c(5) is divided by a?
17
Let j = -46 - -73. Suppose m + 2*m = j. What is the remainder when 25 is divided by m?
7
Suppose 3*s + 3*p = 45, -2*p + 48 = 4*s - p. Let g = -5 + s. Let l(m) = -m**2 + 8*m - 4. Calculate the remainder when l(g) is divided by 5.
3
Suppose -4*m + a - 9 = 0, 0 = m - 2*a - 4 + 1. Let t(v) = 6*v**3 + v - 1. Calculate the remainder when (m/(-2))/(9/60) is divided by t(1).
4
Suppose -2*r - 10 = -30. Let g = 2 + r. Calculate the remainder when 23 is divided by g.
11
Let d = 64 + -43. Suppose -4 = w - d. What is the remainder when 65 is divided by w?
14
Let k(u) be the first derivative of u**4/4 + u**3/3 + 20*u - 8. What is the remainder when 39 is divided by k(0)?
19
Calculate the remainder when 23 is divided by 4 + 0*(-2)/10.
3
Suppose -3*g + 85 - 22 = 0. Let i = g - 5. Calculate the remainder when 29 is divided by i.
13
Suppose 8*s - 3*s - 65 = 0. What is the remainder when 62 is divided by s?
10
Suppose s - 12 = 20. Suppose -2*x + 6 = -6. What is the remainder when s is divided by 17 - -3 - x/2?
15
Let l be -3*1/(6/(-4)). Suppose -j = j - 20. Suppose 0 = -3*c + j + l. Calculate the remainder when 11 is divided by c.
3
Calculate the remainder when 198 is divided by 4/(4 - (-57)/(-15)).
18
Suppose 0 = -0*t - 2*t + 2*s + 18, -21 = -t + 4*s. Suppose -2*n = -t*x - 11, -x + 24 - 8 = n. What is the remainder when 23 is divided by n?
10
Let q(v) = -4*v + 3. Calculate the remainder when 20 is divided by q(-2).
9
Let j = -13 - -57. What is the remainder when j is divided by 12?
8
Suppose q + 31 = 85. What is the remainder when 104 is divided by q?
50
Let p be 24/(-30)*245/1. Let t = -5 - -10. Calculate the remainder when (t + -2)*p/(-12) is divided by 17.
15
Calculate the remainder when 46 is divided by 9/(7/(-6)*(-9)/14).
10
Suppose v - 5*v = -12. Suppose -2*d = -2*q - 38, v*d = -5*q - 8 + 105. What is the remainder when d is divided by 13?
11
Suppose -4*q = -3*g - 14, 5*g + 6 = 5*q - 14. Let a(r) = 18*r**2 + q - 2 - 4*r**2. What is the remainder when a(-1) is divided by 8?
6
Let t = 11 - 5. Let m = 12 - t. Calculate the remainder when 11 is divided by m.
5
Let p(g) be the second derivative of -g**3/2 - 3*g**2 + 2*g. What is the remainder when 45 is divided by p(-10)?
21
Suppose 2*r - 2 = -2*s, -6*s + 2*s + 4*r = -20. What is the remainder when 13 is divided by s?
1
Suppose -89 = -5*x - 2*g, -4*x + 13*g = 11*g - 82. Suppose 0 = -5*r + 25, -2*p + 4*r - 6 = -0*p. Calculate the remainder when x is divided by p.
5
Let x be (9/9)/((-2)/(-8)). What is the remainder when 20 is divided by 12/16 - (-25)/x?
6
Let l(v) = -12*v**3 + v. What is the remainder when 16 is divided by l(-1)?
5
Suppose 4*h - 304 = n + 3*n, -3 = -n. Suppose 0*t + h = t + 3*k, -t - 4*k = -74. What is the remainder when t is divided by 24?
22
Let b be (7 + (-6)/3)*-1. Let y = 0 - b. Suppose -32 = -4*j + 4*h + 44, 0 = y*j - 4*h - 92. What is the remainder when j is divided by 9?
7
Let w(f) = f**3 + 7*f**2 + 9. What is the remainder when 15 is divided by w(-7)?
6
Suppose -3*f = -3*m + 1 + 2, m - 2*f = 0. Let j(l) = l + 55. What is the remainder when j(0) is divided by (-2*(-19)/m)/1?
17
Suppose j + 3*c = 6*c - 1, -3*j = -5*c - 5. Suppose 92 = j*s + 4*z, 2*z = s - 0*s - 10. Calculate the remainder when 31 is divided by s.
15
Let t = -157 + 195. What is the remainder when t is divided by 14?
10
Let z(f) = -3*f**2 - f. Let h be z(-1). Let v be (-22)/(-2) + (h - -1). Suppose 2*w = w + v. What is the remainder when 18 is divided by w?
8
Suppose -5*v + 3*s = 15, 4*v - 2*s - 2*s = -4. Let w be (4/3)/(2/v). Let u(j) = -j**3 - 2*j**2 + 3*j + 6. Calculate the remainder when u(w) is divided by 9.
8
Suppose 3*n = -8 + 53. What is the remainder when 9/(-12) + (-115)/(-4) is divided by n?
13
Suppose 3*a + 10 = 28. What is the remainder when (a/9 - 1)*-99 is divided by 9?
6
Let t = -30 + 46. What is the remainder when 31 is divided by t?
15
Let h(s) = s**3 - 4*s**2 - 11*s + 8. Suppose -2*y = -4*g - 18 - 16, -2*y - 2*g = -64. What is the remainder when h(7) is divided by y?
24
Let c = -16 + 16. Let h be (-1)/(-4) + (-118)/(-8). Suppose c = 2*f - h - 21. Calculate the remainder when f is divided by 7.
4
What is the remainder when 143 is divided by ((-3)/4)/(((-5)/(-32))/(-5))?
23
Let f(a) = a**3 - 3*a + 1. Let z(v) = -v**2 - 4*v - 6. Let x be z(-4). Let m = 2 - x. Calculate the remainder when m is divided by f(2).
2
Let c be 1/2 - (-234)/4. Let u = -34 + c. Let b = -49 + 58. What is the remainder when u is divided by b?
7
Let k 