t is the remainder when 31 is divided by z?
7
Suppose -3 = 4*k - 7*k. Suppose -p = -4 - k. What is the remainder when p is divided by (-4 - -2) + 6/1?
1
Suppose 4*z - 11 = 5, 113 = -3*x + 5*z. Let f = 31 + x. Suppose 5*t - t + 118 = 3*c, -c + 2*t + 36 = f. Calculate the remainder when c is divided by 12.
10
Suppose -5*o - 4*j = -102, 0 = 3*j - 8 - 1. Let x(r) = r**2 - 7*r - 3. Let a be x(8). Suppose -o + a = -c. Calculate the remainder when 51 is divided by c.
12
Calculate the remainder when 326 is divided by 14 + (-108)/(-12) + -20.
2
Suppose 3*r + 20 = 2*q, 2*r + 16 = 3*q + r. Let o be (q + (-44)/8)*10. Let v = 13 - o. What is the remainder when 110 is divided by v?
26
Let r be ((-30)/24)/((-1)/40). Let x = r + -26. Suppose -x = -3*l - l. What is the remainder when 8 is divided by l?
2
Suppose 3*c = 33 - 0. Calculate the remainder when c is divided by (-6)/2*-1 - -3.
5
Suppose x + 1 = 0, -2*x = r - 4*r + 509. What is the remainder when r is divided by 19?
17
Let i = 45 - -600. Calculate the remainder when i is divided by 18.
15
Let g(u) = u**2 + 8*u + 6. Let d be g(-6). Let p(v) = -v**3 - 28*v**2 - 28*v - 35. Let r be p(-27). Calculate the remainder when 61 is divided by d/r - (-61)/4.
13
Suppose s - 6 = 3*s - 2*b, -3*s - 5*b = -15. Suppose -3*a - a + 84 = s. Suppose 4*p - 2*p = 78. What is the remainder when p is divided by a?
18
Suppose 5 = o + i, -o + 4*i + 28 = 3*o. Calculate the remainder when 207 is divided by o.
3
Suppose 0 = -20*y + 1475 + 185. Calculate the remainder when 406 is divided by y.
74
Suppose -46*r + 139134 = 29976. Calculate the remainder when r is divided by 24.
21
Let q(n) = -2*n**2 + 18*n + 25. Let v be q(14). Let j = v - -357. Calculate the remainder when j is divided by 27.
26
Suppose -5*y - 3*c = -38, -4*y + 4*c + 24 = -0*y. Suppose -158 = -y*f - 4. Calculate the remainder when f is divided by -10*(-2 - (-12)/15).
10
Let b(z) = 16*z**2 - 2*z - 3. Calculate the remainder when 351 is divided by b(-1).
6
Suppose 4*o = -4*k + 37 + 35, 2*o - 3*k - 21 = 0. Suppose 20*l + o = 25*l. Calculate the remainder when 5 is divided by l.
2
Suppose -3*t + a + 21 = 0, 8*a - 14 = -2*t + 3*a. Suppose -t*p + 235 = -2*p. What is the remainder when p is divided by 10?
7
What is the remainder when 356 is divided by (-4)/((100/(-90))/5)?
14
Suppose 3*x = -6, 4*w + 5*x - 5 + 3 = 0. Suppose w*d - 5*d = -12. Suppose 0 = 5*i - d*i + 22. What is the remainder when 42 is divided by i?
20
Suppose 0 = -36*b + 39*b - 276. Calculate the remainder when b is divided by 22.
4
Let l = -25 - -2. Let t = l + 48. Let x(d) = -d**3 - 22*d**2 - 24*d - 49. What is the remainder when t is divided by x(-21)?
11
Let r(d) = d**2 + 5*d + 2. Suppose 5*h - 2*q + 17 = 0, -3*h + 0 = -4*q - 1. Let v = 0 - -5. Calculate the remainder when v is divided by r(h).
1
Let k(x) = -x**3 + 7*x**2 - 4*x + 1. Let j(l) = -l**2 - 36*l - 89. What is the remainder when k(6) is divided by j(-33)?
3
Calculate the remainder when ((99/(-5))/(147/(-2450)))/2 is divided by 78.
9
Suppose -f - 5 = -33. Suppose 59*s - 660 = 53*s. Calculate the remainder when s is divided by f.
26
Let j = -1291 + 1357. Calculate the remainder when 326 is divided by j.
62
Suppose -d - p = 3*p - 30, 4*d - p = 52. Suppose 3 = 3*q - 3*n, 3*n - 12 = -2*q - 5. Suppose -5 = -q*o + 3. Calculate the remainder when d is divided by o.
2
Let n(j) = -j**3 + 5*j**2 - 4*j + 4. Let k be n(4). Suppose q - 16 = -5*z, -q + 16 = 3*q - k*z. What is the remainder when (4/q)/(4/102) is divided by 7?
3
Let a = -1902 - -2107. What is the remainder when a is divided by 18?
7
Let l = 50 - 32. Suppose l*t - 155 = 13*t. What is the remainder when t is divided by 8?
7
Suppose -2*y + 2*d = 2, 0 = 4*d - 8 - 4. Suppose k = y*k - 8. Suppose -2*r - 10 = 0, -b = -r - 21 - 5. Calculate the remainder when b is divided by k.
5
Suppose 4*d = -8*g + 10*g + 10, -3*d = -2*g - 5. What is the remainder when 243 is divided by g?
3
Let j(f) = -4*f**2 + 7*f - 4. Let o be j(2). Let k(m) = m**3 - m**2 - 3*m + 2. Let a be k(o). Calculate the remainder when a/(-9) + 4/18 is divided by 7.
5
Let w = -90 + 156. Suppose 0 = -2*q - 2*g - g + 53, -5*q + 155 = 3*g. What is the remainder when w is divided by q?
32
Let o(l) = 30*l**2 + 3*l + 2. Let v = 20 - 17. Suppose -v*n + 6 = 0, 5*r + 5*n = n + 3. Calculate the remainder when o(r) is divided by 10.
9
Suppose 0*m - 3*m = -4*w + 412, -16 = -4*m. What is the remainder when w is divided by 12?
10
Suppose -23*a + 24*a - 64 = 0. Let t(g) = -4*g - 15. What is the remainder when a is divided by t(-8)?
13
Let d = -808 - -843. Calculate the remainder when 161 is divided by d.
21
Let v(g) = g**3 - 24*g**2 - 25*g + 10. Suppose 0 = 3*j + 5*l - 124, -3*l + 0*l = 5*j - 196. What is the remainder when j is divided by v(25)?
8
Suppose -10 = t - 3*p - 4, 3*t = -2*p + 15. What is the remainder when 16 is divided by t/(-4*(-1)/12)?
7
Let x = -61 + 67. What is the remainder when 742/x + (-10)/(-30) is divided by 32?
28
Suppose 0 = 4*w, 0 = 9*d - 5*d - 4*w - 200. Calculate the remainder when 137 is divided by d.
37
Suppose 4*p + 460 = -320. Let b = p - -275. Calculate the remainder when b is divided by 29.
22
What is the remainder when 86 is divided by ((-12)/9)/((-16)/312)?
8
Let j(w) = -w**2 + 80*w + 1931. Suppose -4*f - 4*a + 474 - 74 = 0, 0 = -5*f + a + 482. Calculate the remainder when f is divided by j(-19).
47
Let d(l) = l**2 - 12*l - 1. Let r = 11 - -2. Let y be d(r). Let t = y + -8. What is the remainder when 10 is divided by t?
2
Suppose 2*p + 2*d - 20 = 0, 0*p + 5*d - 32 = -3*p. Suppose 5*x - 125 = -2*w, -5*x + 9*w + 125 = 4*w. What is the remainder when x is divided by p?
7
Let m(v) = 3*v + 15. What is the remainder when m(32) is divided by 38?
35
Let s be (-11)/(2*(-2)/4). Suppose -2*a + s = -45. Let d = a - -41. Calculate the remainder when d is divided by 24.
21
Suppose 0 = -3*p + 30 + 3. Let b(k) = -k**3 - 12*k**2 + 41*k - 28. Calculate the remainder when b(-15) is divided by p.
10
Let h be 55/(-3) - 18/27. Let b = h - -66. Suppose 4*c - 2*r - 20 = c, -r = 2*c - 18. What is the remainder when b is divided by c?
7
Let k = 7 - 5. Suppose k*j - 16 = -2*j. What is the remainder when 13 is divided by j?
1
Let c = 34 - 34. Suppose -5*y - 41 + 116 = c. Calculate the remainder when 29 is divided by y.
14
Let u = -1067 + 1999. Calculate the remainder when u is divided by 55.
52
Let u = -21 - -55. Let t = -159 - -164. Suppose -2*l - 27 = -t*l. Calculate the remainder when u is divided by l.
7
Let m(h) = 4*h + 89. Suppose w + 0 = 1. Calculate the remainder when w is divided by m(-22).
0
Calculate the remainder when (-4)/14 + (4290/(-70))/(-1) is divided by 20.
1
Suppose -p - 3*f + 20 = 0, 3*p = 12*f - 7*f + 74. Calculate the remainder when 435 is divided by p.
21
Let z = -225 - -595. Calculate the remainder when z is divided by 22.
18
Suppose -2*f - 2*o + 38 = 0, 6*o - 5*o + 81 = 4*f. What is the remainder when f is divided by 5?
0
Let k(r) be the first derivative of -9*r + 1/3*r**3 + 3 - 5/2*r**2. What is the remainder when k(7) is divided by 2?
1
Suppose -3*n - 2*l + 272 = 0, 0 = n + 9*l - 8*l - 90. Calculate the remainder when 279 is divided by n.
3
Suppose 210 - 40 = 5*x. Let c(h) = 24*h - 308. What is the remainder when c(17) is divided by x?
32
Let f(c) = -c**2 + 10*c + 1. Suppose -3*p = -5 - 19. Calculate the remainder when (10 - 6) + 64*1 + -2 is divided by f(p).
15
Let b(r) = 8*r - 9. Let n be b(9). Calculate the remainder when 1092/n*3/2 is divided by 5.
1
Suppose 6 = 2*l - 3*q - q, -4*l = 4*q. Suppose 2*j = -l + 5. Suppose -35 = -5*d - 2*g, d + 3*g = -j*d + 12. Calculate the remainder when 17 is divided by d.
8
Let o(a) = -2*a**2 - 127*a - 353. What is the remainder when o(-52) is divided by 141?
138
Let a = 1 - -7. Let d be ((-3)/2)/((-6)/a). Suppose 7*p - 173 = 4*p - d*g, 3*p + 5*g = 176. Calculate the remainder when p is divided by 20.
17
Suppose -48*x = -4*x - 2640. What is the remainder when 213 is divided by x?
33
Let t(c) be the third derivative of -c**6/120 + c**5/10 + c**4/2 + 2*c**3 - 48*c**2. Calculate the remainder when t(7) is divided by (-1)/1 - (-26)/2.
11
Let g = 1672 - 1624. What is the remainder when 1870 is divided by g?
46
Suppose u - 32 = -0*s - s, -5*s + 120 = -3*u. Let g(h) = 4*h + 31. Calculate 