 is the remainder when a is divided by k?
5
Let f = 19 + -23. Let k = f + 20. What is the remainder when 62 is divided by k?
14
Let p(o) = -14*o + 23. Suppose 3*d - 17 = -4*l + 28, -l = 5*d - 7. What is the remainder when p(0) is divided by l?
11
Suppose -2*h - 1 = g - 16, 33 = 2*g + 5*h. Let c(z) = -z + 19. Calculate the remainder when 33 is divided by c(g).
3
Calculate the remainder when (-2)/(-4) + (-105)/(-2) is divided by (-73)/12 + 6 - (-1011)/36.
25
What is the remainder when 65 is divided by 1 + (-15 + 4)/(1 + -2)?
5
Let l(y) = -3*y**2 - 10 + 2*y**2 - 6*y + y**3 + 7*y**2 - 13*y**2. Let t be (-3 + -13)*3/(-6). Calculate the remainder when l(t) is divided by 2.
0
Let y(m) = m**3 - 4*m**2 - 5*m + 3. Let r = -29 - -38. Calculate the remainder when r is divided by y(5).
0
Suppose 34 = 3*m - 5. Let a = m + -9. Calculate the remainder when 16/(-24) + (-23)/(-3) is divided by a.
3
Suppose -3*b - 134 = -5*b. Let i be 0/(-2 + (5 - 0)). What is the remainder when b is divided by (i + 0 + 1)/((-17)/(-391))?
21
Let m = 10 + -1. Let v be ((-7)/14)/(2/12). Let h(d) = -7*d - 6. Calculate the remainder when h(v) is divided by m.
6
What is the remainder when 591 is divided by (-3367)/(-182) + (-6)/4?
13
Suppose 39 = r - 4*d, -7*d + 3*d + 56 = 4*r. Calculate the remainder when 29 is divided by r.
10
Suppose -72*t + 65*t + 4291 = 0. Calculate the remainder when t is divided by 88.
85
Suppose -o + 5 = 1. Let v be o*2*14/(-8). Let d = -9 - v. What is the remainder when 16 is divided by d?
1
Let x(d) = d**2 - 19*d - 594. Calculate the remainder when 1437 is divided by x(36).
15
Let k(r) = 29*r + 1523. Calculate the remainder when 0/3 - (-25 - 1) is divided by k(-52).
11
Let h = 568 + -417. Calculate the remainder when h is divided by 59.
33
Let u = -1938 - -1952. What is the remainder when 615 is divided by u?
13
Let u = -66 - -126. Let l = -10 - -18. Suppose 3*c = l*c - 80. Calculate the remainder when u is divided by c.
12
Let s = 4 + 11. Let z(t) = t**3 - 4*t**2 - 5*t + 2. Let p be z(5). Suppose -18 + p = -4*q. What is the remainder when s is divided by q?
3
Let t = 25 + -20. Suppose 4*g = t*h - 35, 3*h + 2*h - 5*g = 30. Calculate the remainder when 63 is divided by h.
8
Suppose -501 = -31*u + 4459. What is the remainder when u is divided by 17?
7
Let v(l) = 16*l - 119. What is the remainder when 65 is divided by v(9)?
15
Suppose 0 = -5*l + 1 - 41. Let u(s) = s**2 + 7*s + 2. Calculate the remainder when 19 is divided by u(l).
9
Let f be -10*(1 + (-2565)/25). Suppose -5*p = -f + 261. What is the remainder when p is divided by 38?
37
Let x = 64 + 33. Calculate the remainder when x is divided by 9.
7
Let h = 27 + -23. Suppose -33 = -2*q + 5*k, 5*q + h*k = k + 36. What is the remainder when 35 is divided by q?
8
Suppose 0 = -k + 3*n + 19, -3*n = -3*k + 72 - 27. Suppose 2*p = -4*j + 210, -6*p + p - 25 = 0. Let v = j - 22. What is the remainder when v is divided by k?
7
Let x(h) = 5*h**3 - 3*h**2 + 2*h. Calculate the remainder when x(2) is divided by (-234)/(-34) - (-238)/2023.
4
Let k = 0 - 2. Let j(q) = -7*q - 1. Let l(o) = 62*o**3 - 2*o**2 + 4*o - 2. What is the remainder when l(1) is divided by j(k)?
10
Let u(y) = -2*y - 9. Suppose 0*n + n = -5*i - 13, -5*n - 3*i = 43. What is the remainder when 34 is divided by u(n)?
6
What is the remainder when 461 is divided by (-100536)/(-1065) - (-4)/(-10)?
85
Suppose 25 = 2*j + 3*j. Suppose -59 = -2*x - 2*x + 5*f, 46 = j*x + 3*f. Calculate the remainder when 49 is divided by x.
5
Suppose 3*z + 9 = 24. Suppose 1 = -2*f + 2*p - 3, 2*p + z = -f. What is the remainder when 21 is divided by (f - -4)*(12 + -1)?
10
Let t(f) = -f**3 - 4*f**2 + 3*f - 13. Let u be t(-5). Calculate the remainder when -2 - (u + (-111 - -2)) is divided by 14.
12
Suppose 2*q + 5 = -3*q. Let h = 39 + -8. What is the remainder when h is divided by ((-44)/2)/(q - 1)?
9
Suppose 0 = q + 5*r - 24, 5*r - 12 = 2*q - 0*r. Suppose 0 = 2*f + q*l - 26, -f - l = -0*l - 10. Calculate the remainder when 24 is divided by f.
3
Suppose -73*s = -70*s - 132. Suppose 0 = -7*y + 3*y + 120. Let w = -7 + y. What is the remainder when s is divided by w?
21
Let i(d) = -9*d**3 - d**2 + d - 1. Let q be i(1). Let r = q - -10. Suppose -p - 2*n + 21 = r, 5 = p - 5*n - 16. What is the remainder when 39 is divided by p?
18
Let x = -291 + 310. Calculate the remainder when 131 is divided by x.
17
Let t(x) = 10*x**2 + x. Let w be 2/8 - 14/(-8). Suppose -w*k - 10*k + 36 = 0. Calculate the remainder when t(-1) is divided by k.
0
Let g(n) = 2*n**2 + 12*n + 6. Let v be g(6). Suppose 3*t - v = -3*t. What is the remainder when 99 is divided by t?
24
Let r be (-43 + 19)*2/(-3). Let z = r + -8. What is the remainder when 13 is divided by z?
5
Suppose 0 = -b + 2*r + 26, 0 = -105*r + 108*r + 15. Calculate the remainder when 381 is divided by b.
13
Suppose 17 = -2*a + 4*m + 79, 5*a + 4*m - 85 = 0. What is the remainder when 59 is divided by a?
17
Suppose -263 = -14*r + 423. Let d = -142 - -238. Calculate the remainder when d is divided by r.
47
Let a = 72 + -53. Suppose 2*h - a = -7. Calculate the remainder when 16 is divided by h.
4
Suppose -13*z - 2*q = -14*z + 106, -4*q + 308 = 3*z. What is the remainder when z is divided by 22?
16
Suppose -n = -v - 12, n - 2*v + 46 = 4*n. Suppose 0 = -13*c + 11*c + 218. What is the remainder when c is divided by n?
11
Let f = 6 - 3. Suppose -4*k = -5*v - 0*k - 59, 8 = -2*k. Let z = 19 + v. What is the remainder when z is divided by f?
1
Let s(d) be the third derivative of -d**4/6 + 9*d**3/2 - 38*d**2. What is the remainder when 16 is divided by s(4)?
5
Let y(n) = -n**3 + 2*n**2 + 3*n - 4. Let h(g) = 19*g**3 - g**2 + g - 1. Let b be h(1). Let f = b + 44. What is the remainder when f is divided by y(-3)?
30
Let a = -2 - -6. Let y = 10 - 10. Let x(h) = -h**2 + h + 17. What is the remainder when x(y) is divided by a?
1
Let j(l) = -8*l**2 - 18*l - 1 + 0 + 4. Let h(p) = 3*p**2 + 6*p - 1. Let b(k) = -11*h(k) - 4*j(k). What is the remainder when b(5) is divided by 2?
0
Suppose -3*q + 3*v + 332 + 52 = 0, 3*q - 392 = v. What is the remainder when q is divided by 67?
65
Let o be 1/((-2)/42*-3). Suppose -o*q = -9*q + 28. What is the remainder when -11 + 2 + 4 + 45 is divided by q?
12
Let c(v) = v**3 - 4*v**2 - 2*v - 2. Let d be c(-2). Calculate the remainder when 60 is divided by ((-1023)/d)/((-9)/(-6)).
29
Suppose 622*b - 620*b - 72 = 0. Calculate the remainder when b is divided by 32.
4
Suppose 4*r = -d + 4 + 1, -2*d - 10 = -2*r. Suppose -3*p + 12 = -r*p. Calculate the remainder when -2 + 0 + (-1)/(5/(-240)) is divided by p.
10
Let q = 56 + -4. Suppose -5 - 5 = -2*b. Let c = 16 - b. Calculate the remainder when q is divided by c.
8
Suppose 351*f = 330*f + 546. Let x(c) = -c**2 + c + 32. Let r be x(0). Let z = 46 - r. What is the remainder when f is divided by z?
12
Let i(k) = k**3 + k**2 + k - 1. Let t be i(-2). Let g(d) = -2*d**3 - 2*d**2 - 5*d + 4. Let w be g(-4). Calculate the remainder when 17 is divided by w/21 - 2/t.
5
Let k be (10/30)/((-2)/(-12)). Let x = 1 - -6. What is the remainder when (k*2)/(1/5) is divided by x?
6
Let b = 1123 - 1113. Calculate the remainder when b is divided by (7 - 2) + -2 + 0.
1
Let l(u) = u + 24. Let g be l(0). Let w be ((-21)/(-12))/(2/g). Suppose 9 = 5*y - w. What is the remainder when y is divided by 3?
0
Suppose -20*v = -15*v - 715. What is the remainder when v is divided by 18?
17
Suppose 4*p - 4 - 4 = 0. Suppose -2*r = -6*r + 16. Suppose -5*b + 63 = p*u, b + 107 = 3*u - r*b. What is the remainder when u is divided by 9?
7
Let d = 31 + -29. Suppose -d*a - 57 = -173. Suppose -a = -2*k + k. Calculate the remainder when k is divided by 15.
13
Suppose -2*l + 3*j = -407, 0*j = -l + 3*j + 199. What is the remainder when (-4)/(-12) + (l/6)/4 is divided by (-56)/(-10) + 6/15?
3
Let a = 332 - 256. What is the remainder when 221 is divided by a?
69
Let t(y) = -y**3 + 5*y**2 + 4*y + 4. Let c = 1452 + -1443. Calculate the remainder when t(5) is divided by c.
6
Suppose -s = 2*s - 4*f - 51, -2*s + 32 = -2*f. What is the remainder when 44 is divided by s?
5
Let h be -1*(-3 + 2) - -30. Let c = h - 16. Calculate the remainder when (175 + -1)*(84/(-18) - -5) is divided by c.
13
Suppose -5*r = 4*f - 474, 4*f + 527 = 5*r + 21. Calculate the r