a is divided by 31?
3
Suppose 3*q - 2*m - 4 = 0, 2*q + 3 - 11 = 4*m. Let z = q + 3. Suppose 56 = y + z*y. Calculate the remainder when y is divided by 4.
2
Let y(x) = -x**3 - 5*x**2 + 6*x + 5. Let q(h) = -2*h**3 - h**2 - 3*h - 2. Calculate the remainder when y(-7) is divided by q(-2).
13
Let z(t) = 16*t - 27. What is the remainder when 8 is divided by z(2)?
3
Let s(h) = -h**2 - 27*h - 58. What is the remainder when s(-23) is divided by 12?
10
Suppose 2*h = -4*s + 184, 3*s - 2*s = -3*h + 46. Suppose -16 = -0*i - i. What is the remainder when s is divided by i?
14
Let t = 72 + -78. Let s(d) = d**3 + 6*d**2 - 4*d - 2. What is the remainder when s(-5) is divided by (14/(-21) + -3)/(2/t)?
10
Suppose j = 4*o - 61, -5*o = 5*j - 2*j - 72. Suppose -3*k + z = 28, -2*k - z - o = 2*z. Calculate the remainder when 766/7 - k/(-21) is divided by 28.
25
What is the remainder when (12/18 - (-3)/9) + 137 is divided by 48?
42
Suppose 22*x + 2 = 20*x - 3*h, -5*h + 5 = 5*x. Calculate the remainder when 81 is divided by x.
1
Suppose 0 = -3*m + 4*k + 44, m - 4*k = k + 22. Suppose -p + 4*c = -m, 2*p - 4*c + 7*c = 24. What is the remainder when 45 is divided by p?
9
What is the remainder when 503 is divided by (-14*45/120)/(1/(-12))?
62
What is the remainder when (-3234)/(-15) + (-54)/(-135) is divided by 111?
105
Let v(g) = -2*g**2 + 3*g + 6. Let d(c) = 5*c**2 - 5*c - 13. Let x(i) = -3*d(i) - 7*v(i). What is the remainder when 13 is divided by x(-3)?
1
Let b(o) = o**3 - 32*o**2 - 66*o + 75. Calculate the remainder when b(34) is divided by 38.
29
Let i be 1 - (-1*6 - -2). Suppose 0*f = -i*f + 55. Calculate the remainder when f is divided by 7.
4
Suppose 565 = 9*a + 187. Calculate the remainder when 417 is divided by a.
39
Suppose 0 = -w + 5 - 1. Suppose -w*k = -9 - 7. Suppose -k + 0 = -d. What is the remainder when d is divided by 3?
1
Let k = -289 + 317. What is the remainder when k is divided by 19?
9
Let p = 1526 - 1474. What is the remainder when p is divided by 29?
23
Suppose -3*d - 48 = -11*d. Suppose 30*j + d = 32*j. Suppose 0 = 2*y + j*y - 85. Calculate the remainder when y is divided by 9.
8
Let r = 115 - 111. Suppose 0*j + r*j - 100 = 0. What is the remainder when 44 is divided by j?
19
Let z = -131 + 138. Suppose z*g - 69 = 50. Calculate the remainder when 183 is divided by g.
13
Let b be 8/36 - (-680)/18. Let t = b - 15. Calculate the remainder when 45 is divided by t.
22
Suppose 8*t = 3054 - 726. Calculate the remainder when t is divided by 73.
72
Suppose 99*x - 28 = 97*x. What is the remainder when (x/(-3))/((-8)/108) is divided by 16?
15
Suppose 0 = 3*d - 0*d - 2*j - 1205, 0 = 2*j - 10. Suppose -2*y + d = 3*y. Suppose 21 = -4*m + y. Calculate the remainder when 57 is divided by m.
12
Let v be 4/1*20/8. Let t = v - 7. Suppose t*b - 7 = 4*w, -3*b - 4*w = -2*b - 13. Calculate the remainder when 7 is divided by b.
2
Suppose 3*b = b + 142. Let c = 1014 - 978. Calculate the remainder when b is divided by c.
35
Suppose 4*u + 28 = 2*x, -u + 15 = 16*x - 11*x. Suppose 0 = -a + 4*r + 3, 69 = 4*a - 2*r + 5*r. Calculate the remainder when a is divided by x.
3
Let o(q) = -q**3 + 7*q**2 + q - 1. Let y be o(6). Suppose -i + 4*a + y + 20 = 0, a + 49 = i. Calculate the remainder when 20 is divided by (-4)/(-18) + 305/i.
6
Calculate the remainder when (3 + (-16)/5 + -1)*-15 is divided by 8.
2
Suppose 6*t - 27 = 5*t. Let x = t - -12. Calculate the remainder when 153 is divided by x.
36
Let o(j) = 45*j**2 - j + 1. Let y be o(1). Suppose 0 = y*h - 42*h - 297. What is the remainder when h is divided by 20?
19
Suppose 5*t = 3*i + 2380, -3*t + 6*i - 3*i + 1434 = 0. What is the remainder when t is divided by 14?
11
Suppose 4*i + 4*r + r - 37 = 0, 5*i + r - 20 = 0. Suppose i*u - 33 = -0*u. What is the remainder when u is divided by 3?
2
Let t = 5 + -7. Let k be 5/10*t*0. Suppose i + 2*n + n - 32 = k, 3*n = -3*i + 90. What is the remainder when 115 is divided by i?
28
Suppose 2*d = 2*u + 60, -3*d - 4*u + 160 = d. Let h(r) = -4*r - 3 + 2*r + 3*r - 4*r. What is the remainder when d is divided by h(-5)?
11
Suppose 4*i = -4*a + 168, 3*a + 5*i + 10 = 130. Let m = -1 + a. What is the remainder when m is divided by 13?
5
Suppose -4904*u - 6799 = -4917*u. What is the remainder when u is divided by 75?
73
Suppose 2 = 2*f, 0 = -3*y - 4*f + 29 + 20. Suppose -76*d - 95*d = -1539. Calculate the remainder when y is divided by d.
6
Suppose p - 24 = 2*h + 2*h, 0 = -3*p - 3*h - 3. Suppose -p*b - 5*l = -433, -4*b - 4*l = -l - 431. Calculate the remainder when b is divided by 28.
23
Let k(a) = a**2 + 5*a - 31. Let s be k(-9). Suppose -s*q + 33 - 8 = 0. Calculate the remainder when q is divided by 2.
1
Suppose -88 = f + 3*f. Let n = 18 + f. What is the remainder when 3366/72 + (-1)/n is divided by 12?
11
Let c(p) = p**3 + 10*p**2 + 2*p - 11. Suppose -x - 5*n = x + 26, 3*x + 30 = -3*n. What is the remainder when c(x) is divided by 35?
31
Suppose -4*s + 40 = q, -s + 27 = -4*q - 0*q. Let z = -6 + s. Let f(l) = l**3 - 8*l**2 + 2*l - 12. What is the remainder when z is divided by f(8)?
1
Let z(n) = -6*n**3 + n. Let k be z(1). Let l(h) = -h - 5. Let x be l(k). What is the remainder when x - (1 - 39)/1 is divided by 10?
8
Let l = 1464 + -1403. What is the remainder when 119 is divided by l?
58
Suppose 4*m = -6*m - 150. Let w(t) be the first derivative of -3*t**2/2 - 5*t - 2. What is the remainder when w(m) is divided by 11?
7
Suppose -62 = -3*z + 5*g + 109, -228 = -4*z - 3*g. Let l(w) = -3*w + 6. Let d = 19 + -22. Calculate the remainder when z is divided by l(d).
12
Let s = 266 + -60. Calculate the remainder when s is divided by 16.
14
Suppose 576 = 103*b - 87*b. What is the remainder when 107 is divided by b?
35
Suppose -9*g - 10 = -28. Suppose 12 = g*q - 4. What is the remainder when 8*((-22)/(-8))/1 is divided by q?
6
Let s = -123 - -318. Suppose -3*i + s = -12. Let r = i - 45. What is the remainder when 45 is divided by r?
21
Suppose -14*s = 159 + 639. Let v = 101 + s. Calculate the remainder when v is divided by 8.
4
Suppose 24 + 6 = 3*k - 2*t, -2*k + 4*t = -20. Calculate the remainder when 24 is divided by k.
4
Suppose -4*x + 144 = x - v, 5*x - 152 = 3*v. Calculate the remainder when 107 - (-4)/(8/(-2)) is divided by x.
22
Suppose -2*p - 3*b + 5 = 0, -4*p = -p + 3*b - 6. Suppose 0 = -9*m + 7*m + 6. Suppose -2 = m*j - 8. What is the remainder when j is divided by p?
0
Suppose 6 = -3*p - 3. Let x(t) = -t**3 + 13*t**2 - 5*t + 19. Let n be x(13). What is the remainder when p*(3 + n/6) is divided by 4?
2
Suppose -8*w + 166 = -34. Calculate the remainder when 71 is divided by w.
21
Suppose 0 = 17*l - 59 - 9. What is the remainder when 68 is divided by l?
0
Suppose 2*y - 2*s = 72, 3*y - 51 = s + 65. Let o(q) = 23*q - 10. What is the remainder when o(9) is divided by y?
37
Suppose d - 3*d + 22 = 0. Calculate the remainder when (-16560)/(-621)*(1 + 2/(-8)) is divided by d.
9
What is the remainder when (-154)/28*36/(-11) is divided by 1?
0
Let r be 2 - (0 + 1 - 3). Suppose -2*n + r*s = 36, 2*s - s + 11 = -2*n. Let y(u) = u**3 + 9*u**2 + 4*u - 10. What is the remainder when 85 is divided by y(n)?
19
Suppose 7*o - 57 = -8. Calculate the remainder when o is divided by 3.
1
Let r(i) = -2*i**3 + 6*i**2 + 11*i - 20. Let o = 34 + 14. What is the remainder when o is divided by r(3)?
9
Suppose -5*k = -3*n + 5123, -2*n - 2*k - 8532 = -7*n. What is the remainder when n is divided by 14?
12
Suppose 2*z - k - 201 = 15, -4*k = -3*z + 334. What is the remainder when 218 is divided by z?
6
Let b = 92 + -35. Suppose -g = 4*g - t - 107, 3*g - b = 3*t. Let m(q) = -40*q**3 + 2*q**2 + 2*q + 1. Calculate the remainder when m(-1) is divided by g.
19
Suppose -353 = -2*p - 2*p + 5*m, -3*m + 171 = 2*p. Calculate the remainder when p is divided by 47.
40
Let t = 1333 - 1310. What is the remainder when t is divided by 13?
10
Let h be (-30)/(-7) - (-4)/(-14). Suppose -2*q - 2 = -h. Calculate the remainder when 20/8*2*q is divided by 2.
1
Suppose -6*s + 0*s = -744. Suppose 0 = -14*r + 117 + 79. What is the remainder when s is divided by r?
12
Suppose -2*f + 0*f = -48. Suppose 0*g - 2*g - 8 = -3*v, -20 = -4*g - 3*v. Suppose 5 = 5*p, -o + 4*o + g*p = 29. What is the remainder when f is divided by o?
6
Let u = 9 - -2. Let g = 32 - u. Cal