t is the remainder when u is divided by 47?
44
Suppose 2*l - 440 = -4*k, k + 4*k - 5*l = 550. Calculate the remainder when k is divided by 8.
6
Let a = 55 - 32. Let r(w) = w**2 + 8*w - 20. Let c be r(-10). Suppose -5*z - 10*s = -7*s - 352, c = 2*s - 8. Calculate the remainder when z is divided by a.
22
Suppose 11 = j + 4*w + 5, -192 = -7*j + 2*w. What is the remainder when 32 is divided by j?
6
Suppose -55 = -5*x - 3*p, -2*x - 3*p = -p - 18. Calculate the remainder when 21 is divided by x.
7
Let s(p) = 7*p**3 + 2*p**2 + 4*p + 1. Let w(h) = h**3 + h + 2. Let n(d) = -s(d) + 4*w(d). Calculate the remainder when n(-3) is divided by 8.
6
Suppose -4*c + 9*c = 55. Suppose -368 = -9*p - 206. Calculate the remainder when p is divided by c.
7
Suppose -6*p + 12 = -0*p. Suppose -5*b - 5*r + 55 = 0, -2*b + p*r = -0*b - 38. Suppose -c + 6 = -0. What is the remainder when b is divided by c?
3
Suppose 4*f = f + 9, -4*m + 5*f + 69 = 0. Suppose -3*h = -3*r + 24, -3*r + 5*h + 26 = 2. Calculate the remainder when m is divided by r.
5
Let k = -72 - -205. Suppose 11*o + 3*o - 210 = 0. What is the remainder when k is divided by o?
13
Let w(z) = -z**3 + z + 2. Suppose -10*o + 249 = -571. Let q = o + -80. Calculate the remainder when q is divided by w(0).
0
Let t(a) = 2*a**2 + 8*a + 177. Calculate the remainder when t(35) is divided by 15.
12
Suppose 46 = 4*g - 10. Suppose -4 = 7*h - 11. What is the remainder when h*(-1 + 0) - -39 is divided by g?
10
Suppose f + 20 = 3*p, -3*f = -4*f + 4. Let v = 21 - p. Suppose -v = -4*k + 39. What is the remainder when 36 is divided by k?
10
Let j = -148 + 162. Calculate the remainder when j is divided by 12.
2
Let n(v) = -2*v**2 - 32*v - 3. Let x(h) = 2*h**2 + 7*h + 4. What is the remainder when n(-13) is divided by x(-5)?
18
Suppose 0 = -4*j - 5*m + 700, 3*j - 5*j + 350 = -3*m. Calculate the remainder when j is divided by 59.
57
Calculate the remainder when 0 - ((-7 - -4) + 2 - 334) is divided by 24.
23
Suppose 0*m + 2*p = -2*m + 290, 3*m + p - 427 = 0. Calculate the remainder when m is divided by 27.
6
Suppose 52*n - 2 = 51*n. Suppose -2*f + 24 = -2*h, 3*f + 0*h = -n*h + 11. Calculate the remainder when 39 is divided by f.
4
What is the remainder when 181 is divided by 1/((3/(-9))/((-235)/15))?
40
Let v(h) = -6*h - 9. Let q be v(-4). Let r(c) = c**3 - 16*c**2 + 19*c + 19. What is the remainder when r(q) is divided by 40?
39
Let x = 546 - 377. Suppose 4*w - x = -l - 36, 0 = 2*l + 2*w - 242. Suppose -4*d = -l - 151. What is the remainder when d is divided by 23?
21
Let b = -14 - -28. Let t be 118 + 3/((-9)/(-12)). Suppose -3*l + t = 2*n, -2*l = -2*n + 70 + 72. What is the remainder when n is divided by b?
11
Suppose 0 = 8*l - l + 42. Let n be -4 + -124 - l/(-3). Calculate the remainder when ((-10)/25)/(4/n) is divided by 7.
6
Suppose -a + 28 = y + y, 0 = 3*y + 3*a - 42. Suppose 209 = 5*h + 2*o, 4*h - 162 = 4*o - 3*o. What is the remainder when h is divided by y?
13
Let u = 95 - 52. Let t = 115 - 55. Suppose 6*o = 10*o - t. Calculate the remainder when u is divided by o.
13
Let f be (-8)/(-52) - 531/(-13). Let z = 26 - f. What is the remainder when 26 is divided by 18/(-4)*(z + 13)?
8
Let k(a) = -10*a - 35. Let v(n) = 2*n + 7. Let h(g) = -2*k(g) - 11*v(g). Suppose 13*d - 60 = -2*d. Calculate the remainder when h(-9) is divided by d.
3
Suppose 11*o = 18*o - 154. What is the remainder when 62 is divided by o?
18
Suppose 4*t - y + 2 = 0, -3*t = -y - 1 + 3. Calculate the remainder when 2/(-1) + 106 - (t + 4) is divided by 26.
22
Let o be -2 + (2 - (-2 + -3)). Let u = 12 - o. Suppose u = h - 0*h. Calculate the remainder when 11 is divided by h.
4
Suppose 10*u + 1710 = -5*u. Let k = -88 - u. What is the remainder when k is divided by 7?
5
Let t(l) = l**3 + 2*l**2 - 17*l + 87. Calculate the remainder when t(8) is divided by 3.
0
Suppose -752 = -17*c + 268. Suppose 2*i + 4*k = -98, 3*i = -i - k - 161. Let p = i + 55. Calculate the remainder when c is divided by p.
12
Let a(t) = 2*t**2 + 3*t + 1. Suppose 3*v - 1 = -2*z, 2*v + 4*z - 2 = 2*z. Let m be a(v). Suppose m*j = -3*j + 12. What is the remainder when 6 is divided by j?
2
Let l be -15*(16/6)/(-2). Suppose 26*x = l*x + 450. Calculate the remainder when x is divided by 11.
9
Let k be ((-6)/10)/((-1)/35). Let j = k - -16. What is the remainder when j is divided by 8?
5
Let x = -25 + 23. Calculate the remainder when 39 is divided by x/10 - 616/(-55).
6
Calculate the remainder when (-20)/12 - 19536/(-36) is divided by 4.
1
Let r(o) = 159*o**2 + 2*o + 1. Let x be r(-1). Suppose -x = -3*k + 64. Calculate the remainder when k is divided by 11.
8
Let o be (-5 - 2) + (-1)/(-1). Let h = o + 8. Suppose -5*z - 4*k = -55, -3*z + 4*z - 2*k = -3. Calculate the remainder when z is divided by h.
1
Let c(x) = -2*x**2 + 20*x - 12. Let p(m) = -2*m - 1. Let o be p(-7). Let z be c(o). Calculate the remainder when 19 is divided by 16/6*z/(-24).
9
Let c(g) = g**2 + g + 14. Let s be 6*((-5)/(-2) + -2). Suppose -s*d + 188 = 68. Calculate the remainder when d is divided by c(0).
12
Let g(s) = -5 + 2*s**2 - 2*s**2 + 15*s - s**2. Suppose 6*f = f + 75. What is the remainder when f is divided by g(14)?
6
Let y = -1255 - -1273. Calculate the remainder when 394 is divided by y.
16
Suppose -2*u = 36*d - 34*d - 160, -3*d - 170 = -2*u. Suppose f + 21 = 2*f. Calculate the remainder when u is divided by f.
19
Let n = 46 + -33. Let f(b) = -b**2 - 28*b - 188. What is the remainder when n is divided by f(-16)?
1
Let n(x) = 5*x + 5. Let r = 5 - -1. What is the remainder when n(6) is divided by r?
5
Suppose -124 = -y + 102. Suppose 6*f - y = 14. Calculate the remainder when f is divided by 15.
10
Let u = 52 + -25. Suppose w = u + 1. Let p(f) = f**2 - 2*f + 11. What is the remainder when p(-9) is divided by w?
26
Suppose -3*r - 42 = -6*r. Let f = -8 + r. What is the remainder when 17 + (1 - 0)*-1 is divided by f?
4
What is the remainder when 129 is divided by 180/14 + (-7 - (-550)/77)?
12
Let b be (-1 - -5*3) + -2. Let y = b + -14. Calculate the remainder when (-58)/(-1) + y/(-1) is divided by 21.
18
Let y(f) be the first derivative of -f**3/3 + 13*f**2/2 - 21*f - 4. Calculate the remainder when y(9) is divided by 6.
3
Suppose 277 - 853 = -6*j. Suppose -4*t = 5*x - 138, 2*x - 4*t = -2*x + j. Calculate the remainder when x is divided by 9.
8
Suppose -12*y + 7*y = -170. Suppose 0 = -c - c + 14. What is the remainder when y is divided by c?
6
Let v(o) = 6*o + 65. Let l(i) = -2*i. Let s(a) = -5*l(a) - v(a). Calculate the remainder when (-94)/(-3) - (-2)/3 is divided by s(19).
10
Suppose 0 = 124*o - 119*o - 50. What is the remainder when 11 is divided by o?
1
Let z be 2/13 + (-396)/39. What is the remainder when (-1 - z)*(-114)/(-18) is divided by 29?
28
Let l(z) = z**2 + 5*z - 3. Let s be -6 - ((0 - -3)/1 - 4). Let u(c) = -5*c + 16. What is the remainder when u(s) is divided by l(3)?
20
Let d(u) = 67*u - 189. Let o = -4 + 7. What is the remainder when d(3) is divided by o?
0
Let o(f) = -f**3 - 21*f**2 - 104*f - 66. What is the remainder when o(-16) is divided by 60?
18
Let x(f) = -f**2 - 3*f + 2. Let m be x(-4). Calculate the remainder when (20/(-40))/(m/292) is divided by 25.
23
Suppose 0 = 5*t - 10, 9 = 5*q - 2*t - t. Calculate the remainder when 1/(q/1) + (-2142)/(-54) is divided by 22.
18
Suppose 0 = -4*z - 4*i + 232, 0*i - 2*i = z - 61. Let u(g) = -28*g**3 - 5 - 19*g**2 - 42 + 4*g + 29*g**3. Calculate the remainder when z is divided by u(19).
26
Let q(f) = -8*f + 63. What is the remainder when q(5) is divided by 15?
8
Suppose -9*g + 3*g = -360. Suppose 16*f = 11*f + g. Let h(n) = 4*n**2 + 4*n - 3. What is the remainder when h(3) is divided by f?
9
Suppose 0 = 9*i + 60 - 168. Calculate the remainder when i is divided by 6.
0
Calculate the remainder when (-51)/68*-382 + 2/4 is divided by 27.
17
Suppose -11*b + 325 = -82. What is the remainder when 256 is divided by b?
34
Suppose 0 = -70*y + 65*y + 3785. Calculate the remainder when y is divided by 69.
67
Let m be 7 - ((-35)/5 + 4). Suppose 9*b = m*b - 26. What is the remainder when b is divided by 3?
2
Suppose -4*w + 6 = -2*w. Suppose -4*i = w*u - 64, 64 = 4*i + 3*u - 5*u. Let k = i - 14. What is the remainder when 8 is divided by k?
0
Let x(b) = -b**2 + 11*b - 9. Let p be x(8