f = 0, -5*l = 5*f. Suppose 5*z - 68 = -2*w + 57, -2*w + 10 = l. Suppose z = 3*a - 13. What is the remainder when a is divided by 5?
2
Let b(a) = -a**3 - 15*a**2 - 53*a + 24. Calculate the remainder when b(-10) is divided by 3.
0
Suppose -3*l - 2*b = -16, 0*b = -l - 5*b + 1. Suppose -32 = -l*i + 2*i. Calculate the remainder when 21 is divided by i.
5
What is the remainder when 115 is divided by 1/(3/6) + (31 - 2)?
22
Let b be (-40)/12*(-3)/2. Let f be (36/15)/(1/b). Suppose f = 3*d - d. What is the remainder when 22 is divided by d?
4
Let t(y) = -71*y - 169. What is the remainder when t(-4) is divided by 25?
15
Suppose 9 = 2*z - 13. Let a(s) = 3*s. Let x be a(1). Suppose -x*k = -4*y - 13, -k + 2 = -3*y + 4*y. What is the remainder when z is divided by k?
2
Suppose -16623 = -1075*l + 1066*l. What is the remainder when l is divided by 33?
32
Let k(p) = 4*p**3 - 4*p**2 + p + 3. Suppose 3*h - 14 = -4*h. Calculate the remainder when k(h) is divided by 9.
3
Let h = 581 - 536. Calculate the remainder when 809 is divided by h.
44
Suppose 5*q + 3*j - 6016 = 0, -4*q - 5*j - 6000 = -9*q. Let u = -637 + q. Suppose 2*v - 7*v + u = 0. Calculate the remainder when v is divided by 29.
26
Let n(i) be the first derivative of -6*i**2 - 13*i - 10. What is the remainder when n(-8) is divided by 29?
25
Let c(l) = l**3 + 6*l**2 + l - 1. Let m = -14 + 19. Suppose m*b - 253 - 122 = 0. What is the remainder when b is divided by c(-5)?
18
Let k = 630 - 332. Calculate the remainder when k is divided by 75.
73
Suppose 0 = 5*z - 15*j + 10*j - 910, 0 = -5*z + 3*j + 902. Calculate the remainder when z is divided by 6.
4
Let q(k) = 2*k**3 + k**2. Let n be q(-1). Let x(f) = -29*f - 1. Let u be x(n). Suppose -4*l + 84 = -u. What is the remainder when l is divided by 8?
4
Suppose 11*c - 143 = 187. What is the remainder when 205 is divided by c?
25
Let b(n) = -n**3 + 7*n**2 + 7*n - 8. Let k(i) = -i**3 - 17*i**2 + 203*i - 3. What is the remainder when b(7) is divided by k(8)?
20
Let j be 3 + (4 - 3)*17. Suppose -2*s - 2*y + 3*y + j = 0, -y = 3*s - 35. Suppose 3*q = s - 5. Calculate the remainder when 6 is divided by q.
0
Let u = -41 - -51. Let y(h) = -h**3 + 9*h**2 + 10*h + 11. Calculate the remainder when 32 is divided by y(u).
10
Suppose 6*j - 42 = 3*j. Let y = -12 - -15. Suppose -22 = -y*b - 4*a, -5*a + 13 + 16 = 4*b. Calculate the remainder when j is divided by b.
2
Let a(h) = -3*h + 5. Let r(z) = 3*z - 4. Let c(b) = -5*a(b) - 6*r(b). Let m be c(-2). Suppose 14 = m*o - 121. Calculate the remainder when 106 is divided by o.
25
Suppose -226 - 278 = -14*l. Suppose 0 = 3*n + 3*q - 27, -5*n + 3*n - q + 22 = 0. Calculate the remainder when l is divided by n.
10
Let k = 882 + -760. Calculate the remainder when k is divided by 122.
0
What is the remainder when (182 - -20)*(-2)/(-4) is divided by 37?
27
Suppose 5*c = -3*s + 8 + 8, 2*c - 22 = 4*s. Suppose -4*l - 5 + 112 = k, -5*k - c = 0. What is the remainder when 107 is divided by l?
26
Let p = 208 + -173. Suppose -5*i = -0*i - 685. What is the remainder when i is divided by p?
32
Let q(n) = 26*n**3 - 2*n**2 + n. Let m = -37 + 20. Let c = m + 31. What is the remainder when q(1) is divided by c?
11
Let p(i) = -1 + 0 - i**3 - 3*i**3. Let k(o) = -2*o**3 - 9*o**2 + 16*o + 53. Let b be k(-5). Calculate the remainder when p(b) is divided by 16.
15
Let j(t) = 11*t + 4. Let x(q) = -11*q - 4. Let h(s) = 3*j(s) + 2*x(s). Calculate the remainder when h(7) is divided by 21.
18
Suppose 4*k - 7*v = -6*v + 95, v = -2*k + 49. Suppose 3*h + 211 = 5*l, -2*l + 4*h = -l - 32. Calculate the remainder when l is divided by k.
20
What is the remainder when (-15)/((-75)/20) + 46 is divided by 33?
17
Suppose 0 = 19*p - 10*p - 567. What is the remainder when p is divided by 26?
11
Let l(n) be the second derivative of 7*n**4/12 - 7*n**3/6 - n**2 - n. Calculate the remainder when l(4) is divided by 21.
19
Let u(x) = 12*x + 0*x**2 + 20*x - 11*x + x**2 + 91. Calculate the remainder when u(-18) is divided by ((-13)/3)/((-1)/3).
11
Suppose -4*n + 8 = 0, -6*h + h - 5*n = -190. What is the remainder when h is divided by 21?
15
Suppose 18*k - 13*k = 80. Let x(o) = 7*o - 11. Calculate the remainder when x(8) is divided by k.
13
Suppose 3*a = 70 + 407. What is the remainder when a is divided by 47?
18
Let h(c) = -4*c - 37. Let v be h(-7). Let b(q) = -8*q**2 + 2*q**2 - 11*q - 4*q**2 - q**3 - 10. Calculate the remainder when b(v) is divided by 6.
2
Let p = -1540 - -1604. What is the remainder when 189 is divided by p?
61
Suppose -89 + 19 = -5*v - 2*g, -5*v + 5*g = -70. Suppose -54 = 5*b - 219. Calculate the remainder when b is divided by v.
5
Let j = 237 + 228. What is the remainder when j is divided by 18?
15
Let g(x) = 2*x + 4. Let m be g(0). Let b be (7/m)/(18/432). Let p = b + 0. Calculate the remainder when p is divided by 23.
19
Let j = 1515 - 1455. What is the remainder when 110 is divided by j?
50
Let a(m) be the third derivative of -m**4/24 + 23*m**3/6 - 5*m**2. What is the remainder when 30 is divided by a(6)?
13
Let o(j) = 2*j. Suppose 0 = 3*i - 2 - 4. Let p be o(i). Suppose 0 = p*v - 23 - 21. What is the remainder when v is divided by 7?
4
Suppose 0 = 7*b + b + 280. Let p = 37 + b. Calculate the remainder when 2 is divided by p.
0
Let r be 7 + (2 - 2)/3. Suppose -4*s + r*s = 15. Let v = s - -7. What is the remainder when 34 is divided by v?
10
Suppose 0 = 5*q + 2 - 22. Suppose 0 = -25*c + 202 + 773. Calculate the remainder when c is divided by q/(-15)*-3*25.
19
Let u(q) be the first derivative of q**4/4 + 22*q**3/3 - 23*q**2/2 + 7*q - 5. Calculate the remainder when 25 is divided by u(-23).
4
Let a = 1425 + -817. What is the remainder when a is divided by 29?
28
Suppose -615 - 57 = -21*a. What is the remainder when 68 is divided by a?
4
Suppose -126 = -3*k - 3*t, -4*t = -14 + 10. What is the remainder when 72 is divided by k?
31
Let w = 2 + 1. Let l(q) = q**2 - 9*q - 73. Let s be l(14). What is the remainder when ((-28)/(-98))/(s*2/(-84)) is divided by w?
1
Let a = -2195 + 2325. Suppose -26 = -j + 7. Calculate the remainder when a is divided by j.
31
Let h(v) = 12*v + 98. What is the remainder when 25 is divided by h(-7)?
11
Let c(v) be the first derivative of 2*v**3/3 + 3*v**2/2 - 2*v + 9. Let r = 13 + 12. Calculate the remainder when r is divided by c(-3).
4
Let p = 230 + -200. Calculate the remainder when p is divided by 3.
0
What is the remainder when 155 is divided by 297/6 + ((-15)/2 - -7)?
8
Let r(d) = 2*d**3 - 3*d**2 - d + 2. Suppose 3*b - 128 = 5*o, 2*b + 6*o = 2*o + 56. Let i = b - 25. What is the remainder when i is divided by r(2)?
3
Suppose 3*c - 2 = 13. Calculate the remainder when ((-2 - -2) + -15)/(-1) is divided by c.
0
Suppose -2*y = -4*x + 364, 3*x + x + 5*y - 378 = 0. Let f = -6 + 22. What is the remainder when x is divided by f?
12
Let s = -8 + 10. Suppose -s*l + 3 = -1. Suppose -6*j + 32 = -l*j. What is the remainder when 14 is divided by j?
6
Let b = 503 + -499. What is the remainder when 41 is divided by b?
1
Let z(d) = 2*d**2 - 11*d - 9. Let t(m) = -1 + 2*m**2 - 3*m + 0 - m**2 + 2*m. Let g(a) = 4*t(a) - z(a). What is the remainder when g(-4) is divided by 6?
3
Let m = 170 + -163. Suppose 4*q + 8 = 0, 0 = h + 4*h - q - 22. Suppose -n + 10 = -k - h*n, 3*n = -3*k. Calculate the remainder when m is divided by k.
2
Suppose -355*k - 495 = -358*k. What is the remainder when k is divided by 43?
36
Let k(r) be the third derivative of r**5/60 - r**4/24 + 11*r**3/3 + 3*r**2. Let f = 0 + 0. What is the remainder when k(f) is divided by 12?
10
Let r(x) = -x**3 + 5*x**2 - 2*x - 2. Let u be r(4). Calculate the remainder when (52/(-6))/((-4)/u) is divided by (-34)/85 - (64/(-10) + -1).
6
Let g = 140 - 58. Calculate the remainder when 2/(-7) - (-578)/14 is divided by 7/21 - g/(-6).
13
Let c(s) = 14*s. Let w(l) = 27*l + 1. Let y(r) = -5*c(r) + 3*w(r). What is the remainder when y(4) is divided by 12?
11
Suppose 6*i + 1804 = -5*i. Calculate the remainder when (i/2)/(10 - 12) is divided by 11.
8
Suppose b - 4 = 5*x + 2*b, 0 = 4*x + 4*b + 16. Let n(k) = -k**2 + 6*k + 9. What is the remainder when n(x) is divided by 4?
1
Suppose 0 = 11*u - 10*u - 6. Let h = u + 6. Calculate the remainder when 44 is divided by h.
8
Let a be (-1 - 2) + 15/5. Suppose a = 2*x