d. Calculate the remainder when o is divided by j.
6
Let f = 16 + -11. Suppose -5 = f*o, -5*o = -3*z - z + 9. What is the remainder when (-4)/10*5/(-1) is divided by z?
0
Suppose -3*i + 4*p = 20, 0*i + 2*i = 4*p - 20. Suppose i = -b + 2*b + 4. Calculate the remainder when 42 is divided by ((-8)/(-10))/(b/(-110)).
20
Suppose 3*i = -4*b - 3246, 0 = -i + 6*i + 4*b + 5402. Calculate the remainder when 58 is divided by 2/13 - i/91.
10
Calculate the remainder when 54 is divided by 4 + 13 + 6/(-6).
6
Suppose -4*o - 4*a = -24, o - 15 = a - 5*a. Suppose 5*q - l - 43 = l, o = q + l. Let h = 23 - 4. Calculate the remainder when h is divided by q.
5
Let y(w) = -8*w**2 - 18*w + 6. What is the remainder when 64 is divided by y(-2)?
4
Let t(p) = p**2 + 8*p - 5. Let w be t(-9). Suppose -a - w = -8. Suppose 10 = -2*z, -a*m = -m - z - 44. Calculate the remainder when m is divided by 8.
5
Let t(l) = -6*l**3 + 3*l + 6*l**2 + 27 - 23 + 7*l**3. Let o be (-5)/4*(2 - -2). Calculate the remainder when 39 is divided by t(o).
11
Let u(l) = l**3 + 13*l**2 + 20*l - 14. Let w be u(-11). Calculate the remainder when (-17 + 1)*(-4 - 0) is divided by 636/48 + (-2)/w.
12
Let o(n) = n**3 - n**2 - 5*n - 2. Let i be o(4). Suppose -i + 70 = c. What is the remainder when 174 is divided by c?
42
Let r(v) = -3*v - 14. Let f be r(-6). Let a = f + 19. Let t(p) = 17*p - 2. Calculate the remainder when t(4) is divided by a.
20
Let a = 407 - 355. Calculate the remainder when 1557 is divided by a.
49
Suppose -522 = -95*i + 66*i. Let s(r) = r**2 - 2*r + 4. Let d be s(3). Suppose 0 = -3*m + 8 + d. Calculate the remainder when i is divided by m.
3
Suppose 0 = 4*v, -4*c + 0 = 4*v - 12. Suppose -y = c, 9 = -0*h + h + 2*y. What is the remainder when h is divided by 4?
3
Suppose 2*b = -5*y + y + 146, 4*y + 323 = 5*b. Suppose -i + 2*s = -5, -636 = -4*i - 3*s - 550. Calculate the remainder when b is divided by i.
16
Let z = -141 + 179. Calculate the remainder when z is divided by 11.
5
Let v(h) = 2*h - 13. Let c be v(12). Let s(b) = b**2 - 10*b + 3. Let q be s(c). Suppose -5*w = q - 324. What is the remainder when w is divided by 16?
14
Let p(j) = 1 + 0*j - 3*j - 5. Let n = -108 + 116. Calculate the remainder when p(-6) is divided by n.
6
Let c be 15/(-10)*78/(-9). Let n(i) = 5 - c*i - 9*i + 21*i. What is the remainder when 42 is divided by n(-4)?
6
Let k = -338 + 659. What is the remainder when k is divided by 19?
17
Suppose -11*y + 535 = -895. Calculate the remainder when y is divided by 33.
31
Let q(f) = -f**3 - 3*f**2 + 4. Let m be q(-3). What is the remainder when 21 is divided by (-26 - -2)/(m/(-2))?
9
Let z be 1/7 - 30/14. Calculate the remainder when 21 + -1 + z + -1 is divided by 9.
8
Let m(j) = -3 - 7 + 6*j - 2*j**2 - 3*j**2 + 6*j**2. Calculate the remainder when m(-9) is divided by 9.
8
Let y(m) = m**2 + 2*m + 3. Let f be y(-5). Suppose v = 4*v - f. What is the remainder when 24 is divided by v?
0
Suppose -11*i = 93 - 5. Let m(p) = 2*p**3 + 19*p**2 + 18*p - 9. What is the remainder when m(i) is divided by 6?
3
Let p = 256 - 238. What is the remainder when 174 is divided by p?
12
Let f(k) = 18*k. Let y(z) = 6*z. Let w(x) = 2*f(x) - 7*y(x). Suppose -r + a + 25 = 0, -3*r + 44 = a - 23. What is the remainder when r is divided by w(-2)?
11
Suppose 26*q = 25*q - 18. Let h = 1 - q. What is the remainder when h is divided by 11?
8
Suppose -3*y = 2*y - 500. What is the remainder when 46 is divided by (12/(-5))/((-30)/y)?
6
Calculate the remainder when (15/25)/((-8)/(-3320)) is divided by 129.
120
Let c = -19 + 45. Suppose 0 = -0*d + d - 76. Calculate the remainder when d is divided by c.
24
Suppose -865*f + 2778 = -859*f. What is the remainder when f is divided by 58?
57
Let l(v) = 3*v - 3. Let n be l(-4). Let g = n + 39. Calculate the remainder when 93 is divided by g.
21
Let s(a) = -a**3 - 4*a**2 + 10*a - 4. Let w be s(-6). Suppose 0 = d + w*d - 162. Calculate the remainder when 88 is divided by d.
16
Suppose 0 = 2*h + 2*q, -6*h - q = -h - 4. Calculate the remainder when 3 - (-3 - (94 + h)) is divided by 17.
16
Let v(c) = -c**3 + 8*c**2 - 12*c + 4. Let j be v(6). Suppose 5*n = -4*q + 89, j*n - 5*q = -3*q + 66. What is the remainder when 32 is divided by n?
15
Suppose -4*q + 20 = -9*q. Suppose 10*b = 6*b + 40. What is the remainder when b is divided by (q/6)/(1/(-6))?
2
Let o(u) be the third derivative of u**5/60 + 2*u**3 + 4*u**2. What is the remainder when ((-12)/(-18))/((-2)/(-102)) is divided by o(0)?
10
Let n(g) = -g**2 - 11*g + 24. Let i be n(-8). Suppose i = 15*h - 11*h. What is the remainder when 68 is divided by h?
8
Suppose -18 = -t + 5*v, -t + v + 22 = -2*v. Calculate the remainder when t is divided by 23/((-1449)/18) + (-72)/(-7).
8
Let w = 1 - -3. Let l(h) = 4*h**2 + 4*h + 40. Let p be l(-5). Calculate the remainder when p*((-9)/w)/(-3) is divided by 23.
21
Let z(p) = 2*p**3 - 3*p**2 + 3*p - 1. Let x be z(2). Let i = x - 5. Let o = i - -16. Calculate the remainder when 57 is divided by o.
17
Let s(x) = -2*x**2 + 44*x - 30. Calculate the remainder when 21 is divided by s(21).
9
Let z = -6 + 11. Suppose -9 - 11 = -4*i. Suppose 83 = 4*p + 5*t, -i*p + 3*t + 80 + 33 = 0. Calculate the remainder when p is divided by z.
2
Let h = -93 - -93. Let w(y) = -5*y + 50. What is the remainder when 197 is divided by w(h)?
47
Suppose -a = 2*t - 84, 3*a - 6*a - 42 = -t. Suppose 19 = 2*d - 3*q, -d + t = 3*q + 2*q. What is the remainder when 48 is divided by d?
14
Let k(d) = d**3 - 19*d**2 - 2*d + 43. Let c be k(19). Suppose -5*y = 4*p + 146 - 536, 0 = y - c*p - 78. Calculate the remainder when y is divided by 16.
14
Let s = -1 - -6. Let j(w) = 1. Let g(b) = -b**2 + b + 11. Let c(a) = -g(a) - j(a). What is the remainder when 13 is divided by c(s)?
5
Suppose 0 = -71*f + 63*f + 64. Let n(t) = -t**3 + 6*t**2 + t - 7. Let w = -5 + 10. What is the remainder when n(w) is divided by f?
7
Let u(c) = c**2 + 4*c - 14. Suppose 2 = 2*h + 20. Let d(g) = 2*g + 3. What is the remainder when u(h) is divided by d(4)?
9
Suppose -15*n + 257 = -73. Calculate the remainder when 34 is divided by n.
12
Let t = -35 + 21. Calculate the remainder when (-4)/t + (-1532)/(-28) is divided by 8.
7
Let v = -727 + 951. Calculate the remainder when v is divided by 45.
44
Suppose -15*c = -95 - 160. Calculate the remainder when 50 is divided by c.
16
Suppose -14 = 2*h - 52. Calculate the remainder when (-2)/h + (-2530)/(-209) is divided by 3.
0
Suppose 2*a - 3*f = -9 + 39, -2*f + 19 = 3*a. Let y(g) = 8*g**2 - g - 5. Let x be y(-2). Let z = -23 + x. Calculate the remainder when a is divided by z.
3
What is the remainder when 339 is divided by ((-30)/8)/((-465)/(-80) - 6)?
19
Suppose -2*d - 4*d = -126. Suppose -2 = 4*t - 18. Suppose x - z - 85 = 0, 2*z + 343 = t*x - 3*z. What is the remainder when x is divided by d?
19
Let l = -1295 - -1608. What is the remainder when l is divided by 63?
61
Let c = -62 + 91. What is the remainder when c is divided by 16?
13
Suppose a = -232 + 268. What is the remainder when 213 is divided by a?
33
Suppose -345 = -2*m - 0*m + q, m - 150 = 5*q. Calculate the remainder when m is divided by 10.
5
Suppose 5*z = -15*i + 11*i + 180, 0 = -5*i - 25. What is the remainder when 635 is divided by z?
35
What is the remainder when 19/(-8) - -2 - (-68310)/528 is divided by 4?
1
Suppose 0*s + 2*s = 202. Suppose -p = -3*f - s, 3*p - 2 = -14. Let t = -28 - f. What is the remainder when 18 is divided by t?
4
Suppose 4*f = 2*f - n + 17, 4 = -f - 3*n. Let j = -9 + f. Calculate the remainder when 10/j*(-28)/(-5) is divided by 10.
8
Let l be (-4134)/21 - 5/35. Let i = -138 - l. What is the remainder when i is divided by 15?
14
Let g(w) = w**2 + 8*w + 7. Let j be g(-7). Suppose j*a = 5*a - 10. Suppose 0*h + 25 = h - 2*y, -3*y - 53 = -a*h. What is the remainder when h is divided by 17?
14
Suppose 0*o + 3*o = -5*u + 8, -2*o - 5*u = -12. Let k = o + 8. Suppose -5*w - 3*v + 7 = -10, 0 = w - k*v + 15. What is the remainder when 2 is divided by w?
0
Suppose 2*m = -2*m - 16, 5*d = 2*m + 133. Suppose -4*l = 2*t - 754, -l + t + 211 = -3*t. Let r = -94 + l. Calculate the remainder when r is divided by d.
22
Let i = -13 - -27. Suppose 0 = 4*b - 4*g, -2*b + 3*b - 4*g + 12 = 0. What is the remainder when i is divided by b?
2
Suppose -239 