ate the remainder when t is divided by 10/(-25) + (-84)/(-10).
7
Suppose -u - 102 = -4*f - 0*u, -2*f + 46 = -3*u. Calculate the remainder when 75 is divided by f.
23
Suppose 11 = -2*w - 5*z, -w - 5*z + 4 - 12 = 0. Calculate the remainder when (-53)/w + (-2)/(-6) is divided by 10.
8
Calculate the remainder when (-2)/(-6) + 380/12 + -2 is divided by 17.
13
Suppose -2*i - 5*v + 45 = -2*v, 0 = 4*i - 5*v - 35. Suppose 4*o + 12 = 4. Let n = o + i. Calculate the remainder when 25 is divided by n.
12
What is the remainder when 20 is divided by 18/6 + (-1 - 1) - -10?
9
Suppose h = 2*h - 4. Suppose -2*d + 10 = 2*v - 14, h*v = 4. What is the remainder when d is divided by ((-8)/10)/(1/(-5))?
3
Let t(i) = -i**3 + 5*i**2 - 4*i - 1. Suppose -g - g + 6 = 0. Let k = 39 + -26. What is the remainder when k is divided by t(g)?
3
Let q be 12/10*30/9. Suppose 2*x - q*b + 2*b = 26, x - 5*b - 21 = 0. What is the remainder when 21 is divided by x?
10
Let v(f) = f**3 + 10*f**2 - 5*f - 7. Calculate the remainder when v(-10) is divided by 6/45 + 446/30.
13
Suppose 2*z - 5*a = 41, 0 = -2*z + a + 73 - 20. What is the remainder when 111 is divided by z?
27
Let q(f) = f. Let a be q(0). Suppose 0 = -2*t - 3*s + 161, a = -5*t - 2*s - 2*s + 399. Calculate the remainder when t is divided by 20.
19
Let y(c) = 5*c + 7. Let x(m) = -8*m - 2. What is the remainder when x(-12) is divided by y(5)?
30
Suppose -x = -3 - 6. Let i be (20 - -4)*(-6)/8. Calculate the remainder when 3/i - 97/(-6) is divided by x.
7
What is the remainder when 31/(0 + -3 + 4) is divided by 16?
15
Let d = 24 - -33. Calculate the remainder when d is divided by 20.
17
Let i(d) = d**2 - 15*d - 22. Let r = -12 + 33. What is the remainder when r is divided by i(17)?
9
Suppose -2*r + 2*m = 10, 2*r - 4*m + 18 = -r. What is the remainder when 58 is divided by -1 + (0 + r - -18)?
13
Let u(a) = -32*a**3 + a**2 + a. What is the remainder when 61 is divided by u(-1)?
29
Suppose -145 = -4*y - 5*z, -4*y + 5*y - 40 = -2*z. What is the remainder when y is divided by 16?
14
Suppose 0 = -2*y + y + 5*i + 1, -i = -3*y + 31. Let g = -73 - -114. Calculate the remainder when g is divided by y.
8
Suppose 236 = -2*l + 2*t, 0*l = 2*l + t + 227. What is the remainder when 33 is divided by (-12)/(-78) - l/13?
6
Let c = -1 - -1. Suppose 2*d + 0 - 2 = c. Calculate the remainder when d is divided by 2/((-1)/((-2)/4)).
0
Let s = 17 + -13. Suppose -s*l + 49 = q, -210 = -2*q - 2*q - 2*l. Calculate the remainder when q is divided by 18.
17
Suppose 0 = g - 1 - 2. Suppose -15 = -4*x - g. What is the remainder when (x/9)/((-1)/(-39)) is divided by 4?
1
Let j = -18 + 8. Let d = j - -14. Suppose 0 = -d*h + h + 24. Calculate the remainder when 15 is divided by h.
7
Let z(m) = -m - 5. Let r be z(-5). Let c(f) = f**3 + f**2 + f + 19. Let l be c(r). Let t = l - 3. What is the remainder when 62 is divided by t?
14
Let v = 28 - 8. Suppose -h + 59 = 5*g - v, -4*g = 5*h - 59. Calculate the remainder when g is divided by 9.
7
Suppose -5*q + 134 = -236. Calculate the remainder when q is divided by 19.
17
Let f(s) be the third derivative of -s**6/120 - s**5/12 + 5*s**4/24 - s**3/2 - s**2. Calculate the remainder when 3 is divided by f(-6).
0
Suppose 11*d = 7*d + 48. What is the remainder when 59 is divided by d?
11
What is the remainder when ((-3)/9)/(1/(-249)) is divided by 28?
27
Suppose g - 44 = -9. Suppose -3*n + 76 = -3*a - 41, n - 5*a - g = 0. What is the remainder when n is divided by 14?
12
Let a = 2 + 2. Suppose -2*v + 25 = 3*v. Suppose -1 = -d + v. What is the remainder when d is divided by a?
2
Let u(i) = -i**2 + 6*i - 6. Suppose -4*d = -5*d + 24. Suppose -4*k - k = 25, 0 = -2*v + 4*k + d. Calculate the remainder when u(4) is divided by v.
0
Suppose 2*j + 6 = 4*v, 0 = -2*j - 0*v - 2*v + 12. Let a(p) = 9*p**2 - 3*p**3 - 3*p**3 + 4 + 5*p**j - 7*p. What is the remainder when 23 is divided by a(8)?
11
Calculate the remainder when ((-6)/(-4))/((-12)/(-272)) is divided by 20.
14
Let f(z) be the second derivative of 5/12*z**4 + 1/20*z**5 + 0 - 4/3*z**3 + 0*z**2 + z. Calculate the remainder when 34 is divided by f(-6).
10
Suppose -c = -s + 13, -s + c + 1 = 3*c. Let m = s - -4. What is the remainder when m is divided by 5?
3
Suppose -4*f = -2*f - 62. What is the remainder when 60 is divided by f?
29
Suppose 4*y - 3*o = 6, 5*y = -0*o - 3*o + 21. Suppose 0 = y*v + 2*i - 161, i + 4 = 2*i. What is the remainder when v is divided by 18?
15
Let c be (4*52/(-8))/(-2). Suppose -10*s = -c*s + 21. What is the remainder when s is divided by 3?
1
Suppose 3*p = -26 - 46. Let u be (-2)/8 - 2814/p. Calculate the remainder when (-6)/4 - u/(-6) is divided by 5.
3
Suppose -6 = 3*d, 3*u - 2*d + 4*d = 17. What is the remainder when u is divided by 6?
1
Let y = -10 - -19. Let j be (12/y)/(2/3). Suppose 49 = 4*n - 4*c + 13, 3*c = j*n - 17. Calculate the remainder when 18 is divided by n.
8
What is the remainder when 20 is divided by (-33)/(-4) + 4/(-16)?
4
Suppose -y + 27 = 5*w - 24, -5*w = -3*y - 67. Let a = -4 + w. Let r(q) = q**3 - 9*q**2 + 3*q - 1. Calculate the remainder when r(9) is divided by a.
5
Suppose l + 5 - 23 = 0. What is the remainder when l is divided by 7?
4
Let m(s) = -s + 11. Let g = -20 - -51. What is the remainder when g is divided by m(0)?
9
Let h = 17 + -12. Suppose -h*b = -3*b + f - 14, -2*b - 6 = -4*f. What is the remainder when 12 is divided by b?
2
Suppose -5*w - 4 = 16. Let l be w + 5 + (63 - 1). Suppose -o = h - 54, -33 = -2*h + 4*o + l. What is the remainder when h is divided by 18?
16
Suppose 113 = -5*t + 2*h + 339, 5*t - h = 228. Suppose 5*b - 73 = 7. Calculate the remainder when t is divided by b.
14
Let r = 18 - 16. Suppose -101 = -3*k + 3*m + 22, r*k = 4*m + 90. What is the remainder when k is divided by 13?
11
Let x(r) = -r**3 + 9*r**2 - 5*r - 7. Let s(h) = 11*h - 6. Calculate the remainder when s(5) is divided by x(8).
15
Suppose 0 = 5*d - 205 + 50. Calculate the remainder when d is divided by 17.
14
Let w be 14/3 + 4/(-6). Calculate the remainder when 9 is divided by (5/(-3))/(w/(-12)).
4
Suppose -8*v + 11 = -5. What is the remainder when v is divided by 1?
0
What is the remainder when 33 is divided by (-84)/8*12/(-21)?
3
Suppose -j + 0*o - 5*o = -6, 32 = 3*j + o. Let n = 89 - 47. Calculate the remainder when n is divided by j.
9
What is the remainder when (-9 - 68/(-8)) + 567/2 is divided by 57?
55
Let i be 2 + 0/2 - -2. Let k = -7 - -9. Suppose 22 = k*r + i. What is the remainder when r is divided by 6?
3
Let p = -23 - -46. Let v = 65 + -29. Suppose 2*y - v = -y. Calculate the remainder when p is divided by y.
11
Suppose -3*f + 8*f - 66 = 4*w, 28 = 2*f - 2*w. Calculate the remainder when (2/(-4))/(f/(-140)) is divided by 4.
3
Suppose 84 = 4*o + 4*j, -5*j = o - 19 - 10. Suppose -2*a + 200 = 3*a. Suppose d - a = -3. Calculate the remainder when d is divided by o.
18
Let v(x) = x**3 + 6*x**2 + 4. Let c be v(-6). Suppose 2*j = 2 + c. Calculate the remainder when 10 is divided by j.
1
Suppose 29 - 13 = 2*j + 4*f, 4*j - 38 = -5*f. Let b = j - 7. Suppose -b*h + v + 21 = -3*v, -3*h + 17 = 2*v. What is the remainder when 8 is divided by h?
3
Suppose h - 17 = -4*w + 18, -3*h - 4*w = -73. Let b(k) be the first derivative of -27*k**2 + k - 2. What is the remainder when b(-1) is divided by h?
17
Suppose 5*z + 60 = 3*x, -5*x - z + 0*z = -72. What is the remainder when 71 is divided by x?
11
Suppose 0*m - 8 = -4*m. Suppose 0 = -m*j - 10, 0*j + 46 = 3*k + j. Calculate the remainder when k is divided by 9.
8
Let w(x) = x**3 - 3*x**2 - 10*x - 8. Calculate the remainder when 239 is divided by w(6).
39
Let b = -69 + 77. Calculate the remainder when 20 is divided by b.
4
Let x = -26 - -47. Calculate the remainder when x is divided by 11.
10
Suppose 5*m - 41 = g - 14, g = -2. Suppose -132 = -4*k - 2*f, -m*f = -2*k - k + 73. Calculate the remainder when k is divided by 8.
7
Suppose 22 + 18 = w. Suppose -l + 25 = 4*l. Suppose -4*u = -2*m + u + 53, -25 = l*u. What is the remainder when w is divided by m?
12
Let o = 5 - 13. Calculate the remainder when 25 is divided by o/(-1) + 2 - 1.
7
Let s(a) = 2*a**3 - 25*a**2 - 11*a - 20. Let p = 12 - 3. Calculate the remainder when p is divided by s(13).
3
Let j(s) = s**3 + s**2 - 5*s + 5. What is the remainder when j(4) i