z = -3*j + 15. Calculate the remainder when 17 is divided by j.
8
Let u = 1738 + -1651. Calculate the remainder when 108 is divided by u.
21
Let g = -277 - -343. What is the remainder when g is divided by 28?
10
Let z be -2*((-45)/(-10))/(-3). Suppose 2*g - z - 23 = 0. Let p = -9 + 33. What is the remainder when p is divided by g?
11
Suppose 95 = 2*c - 3*x, -3*c = x - 95 - 42. What is the remainder when 227 is divided by c?
43
Let s be 70*(-3)/(-6) - 0. Suppose -13 = -5*l - 38, -5*y - 3*l = -s. What is the remainder when 17 is divided by y?
7
Let r(l) = -l**3 + 12*l**2 - 32*l + 8. What is the remainder when 30 is divided by r(7)?
1
Let k = -22 + 56. What is the remainder when (k - 0)/((-6)/(-9)) is divided by 13?
12
Let q(w) = -15*w - 305. Let z be -2 - -2*6/4. What is the remainder when q(-21) is divided by (2 + z*-3)*-3?
1
Suppose 4*l - 3*g - 35 = -0*g, -3*l = 4*g - 20. Let p(d) = 3*d + 29. Calculate the remainder when p(l) is divided by 18.
17
Suppose -5*f - 34 - 143 = -4*c, -4*f + 170 = 5*c. What is the remainder when c is divided by 13?
12
Let y = 1338 + -931. Calculate the remainder when y is divided by 68.
67
Let h(a) = -a**3 + 46*a**2 - 39*a - 108. What is the remainder when h(45) is divided by 58?
46
Let p = 11 - -9. Let v = 1 + p. Let t(a) = 2*a**3 - 5*a**2 + 12*a - 6. Calculate the remainder when t(3) is divided by v.
18
Suppose 0 = -2*x + 7 - 1. Let j be (1/x)/(4/492). Suppose -4*a + 158 = -5*y, -j = -4*a + 3*a + 2*y. Calculate the remainder when 72 is divided by a.
35
Let g(s) = -2*s**2 - 25*s - 17. Calculate the remainder when g(-11) is divided by 5.
1
Suppose 2*v + t = 5*v - 853, -3*v + 5*t = -845. What is the remainder when v is divided by 149?
136
Let z(b) = b**2 - 5*b - 19. Let l = 9 + -14. Let n be 6 + l/(20/(-8)). Calculate the remainder when 15 is divided by z(n).
0
Let s = 43 + -4. Let o(a) be the first derivative of -a**4/4 + 7*a**3/3 + a**2 - 4*a - 2. Calculate the remainder when s is divided by o(7).
9
Let j = 413 + -224. What is the remainder when j is divided by 19?
18
Suppose 1 = r - 3. Suppose 12 = p + r*n, 2*p - 3 - 3 = n. Suppose p*v + 2*d - 130 = -d, -5*v + 153 = -d. What is the remainder when 59 is divided by v?
28
Let c = -1 - -5. Suppose 2*k + 3*t = t + 6, -4 = -c*t. Suppose -3*w - k*i + 20 = 0, -5*w + 16 + 9 = 5*i. Calculate the remainder when 19 is divided by w.
9
Let y = 33 + -16. Suppose -y - 15 = -2*o. What is the remainder when 27 is divided by o?
11
Suppose 3*u + 268 = 376. What is the remainder when 210 is divided by u?
30
Let x = -1300 + 1321. Let j(g) = 11*g**3 + g**2 + g - 1. Calculate the remainder when x is divided by j(1).
9
Suppose -4*k = 2*a - 2 - 66, -18 = -k - a. Suppose -2*o - 34 = -4*t, t - o = -3*o + k. Let j(d) = 9*d - 7. Calculate the remainder when j(5) is divided by t.
8
Suppose 101 = 3*y + 26. Let l = 28 - y. Calculate the remainder when 4 is divided by l.
1
Let w = 60 - 80. Calculate the remainder when 68 is divided by 543/15 + (-1 - 16/w).
32
Suppose 66 = 8*k - 5*k. Let b(q) = -q**3 - 7*q**2 - 14*q + 4. What is the remainder when k is divided by b(-4)?
10
Let m(t) = -t**3 - 39*t**2 - 41*t - 70. Calculate the remainder when 1275 is divided by m(-38).
43
Let n = -20 + 70. Suppose 238 + n = 6*l. What is the remainder when l is divided by 17?
14
Let z(v) = 4*v**2 - 9*v + 18. Let w = 36 + -32. What is the remainder when 90 is divided by z(w)?
44
Let o be 4/22 + 100/55 + 0. What is the remainder when 66 is divided by ((-45)/6)/(5 + (-11)/o)?
6
Suppose -b = 2*u - u - 169, -3*u + 511 = -b. Suppose -o - 2*i = -16 - 13, i - 62 = -3*o. What is the remainder when u is divided by o?
18
Let h = -2691 - -2700. Suppose 0*o + 6 = 2*o. Suppose -5*v = -5*t - 235, -5*v + v + o*t = -183. What is the remainder when v is divided by h?
6
Suppose -355 + 109 = -3*o - 4*f, 0 = -3*f. What is the remainder when o is divided by 47?
35
Let x(f) = -62*f**3 + 5*f**2 + 2*f + 1. Calculate the remainder when x(-2) is divided by 52.
45
Suppose 2*g - f + 204 = 5*g, 2*f = -5*g + 340. Let p = g - 43. What is the remainder when p is divided by 9?
7
Let u be 99 + (-3 - -4 - 4). Suppose -c - u = -5*c. Suppose -2*i + 224 = 34. What is the remainder when i is divided by c?
23
Let t = 201 - 139. Calculate the remainder when t*2*12/16 is divided by 32.
29
Suppose -12 + 48 = -l. Let g = 59 + l. Let j(s) = 89*s**3 + 2*s**2 - 1. What is the remainder when j(1) is divided by g?
21
Let u = 240 + -143. Calculate the remainder when u is divided by 49.
48
Let v(w) = 29*w + 200. What is the remainder when 199 is divided by v(-6)?
17
Suppose 4*z + i + i = 404, -4*z + 390 = -5*i. What is the remainder when z is divided by 35?
30
Suppose 0 = -f - 5*c - 6 + 48, 4*f - 5*c = 43. What is the remainder when ((-15)/(-20))/(-1) + 403/4 is divided by f?
15
Suppose -2*o + 7*o = 3*s + 446, 2*o - 194 = -4*s. What is the remainder when 98 is divided by o?
7
Let z(a) = -a**2 - 10*a - 3. What is the remainder when z(-5) is divided by 7?
1
Suppose -2*c + 8 = -8. Calculate the remainder when c is divided by (-10)/(-6)*(-18)/(-5).
2
Let o(d) = -8*d + 13. Let i(r) = 25*r - 40. Let q(x) = 6*i(x) + 17*o(x). What is the remainder when 71 is divided by q(4)?
34
Let q be 4/(-5) - 10/50. What is the remainder when (-312)/(-15) + 2/10 is divided by (9 - q - 2) + 0?
5
Let b(q) = -4*q**2 - 9*q + 15*q - 10 - 11*q + 5*q**2. What is the remainder when b(-7) is divided by 19?
17
Suppose -12*m + 119 + 37 = 0. What is the remainder when 255 is divided by m?
8
Suppose -4*d + 237 = -d. Let l = 5890 + -5874. Calculate the remainder when d is divided by l.
15
Let j(p) = -12*p + 917. What is the remainder when 1492 is divided by j(71)?
62
Let u(a) = -a + 6. Let r = -6 - 2. Let h(z) = -z + 1. Calculate the remainder when u(r) is divided by h(-7).
6
Let v = -34 + 36. Suppose -3*k + 7*k - 20 = v*d, -5*d - 14 = 2*k. What is the remainder when (k - 2)*(-178)/(-2) is divided by 15?
14
Let s(y) = y**3 + y**2 - 3*y + 51. Suppose 0 = b - 0*b - 6*b. Let j(w) = 8*w - 3. What is the remainder when s(b) is divided by j(2)?
12
Suppose 5*b - 22*b + 629 = 0. What is the remainder when 46 is divided by b?
9
What is the remainder when (-10206)/(-252) + (-5)/2 is divided by 6?
2
Let g(z) = 16*z**2 - 17*z - 17. Calculate the remainder when 411 is divided by g(-1).
11
Let a(r) = -r + 7. Let l be 56/(-6)*(-27)/36. What is the remainder when 5*l/(105/108) is divided by a(-6)?
10
Let b(h) = 11*h**2 - 64*h + 4. What is the remainder when 28 is divided by b(6)?
12
Suppose 4*m + 500 = 2*a, -2*a - 2*m + 49 = -451. Calculate the remainder when a is divided by 76.
22
Let r(u) = -u - 2. Let z be r(6). Let o(b) = -b**3 - 19*b**2 + 18*b + 15. Let n be o(-20). Let c = n + z. What is the remainder when c is divided by 12?
11
Let x(u) = -u. Let r be x(-3). Suppose -r*s - 15 = -4*s. What is the remainder when (-15)/21 + 2/(-7) + 60 is divided by s?
14
Suppose -12*n + 15*n - 219 = 0. Suppose -v = 3*r - 15 - 0, -2*r + 60 = 4*v. Calculate the remainder when n is divided by v.
13
Let g(f) = 9*f - 314. Suppose -2*k - 4 = -12. Suppose 2*o = x - 9 - 25, -143 = -k*x + o. What is the remainder when x is divided by g(37)?
17
Calculate the remainder when 63 is divided by 137/4 + (-4 - 15/(-4)).
29
Let w = -82 - -280. Let f be ((-9)/3)/(3/(-6)). What is the remainder when 65 is divided by ((-2)/(-6))/(f/w)?
10
Let u(w) = -w - 1. Let l be u(-6). Suppose 0 = f - l*x - 27, f + f - 3*x = 54. Calculate the remainder when f is divided by 15.
12
Suppose -3*n + 3*s = 2 - 32, -2*n + 3*s + 14 = 0. Suppose -545 + 75 = -5*z. Calculate the remainder when z is divided by n.
14
Let r be -2 + 4/(-18) + 742/18. Let i = r - 16. What is the remainder when i is divided by 12?
11
Let k be 45/(-12)*(-2 + 6). What is the remainder when 12/k + 296/20 is divided by 5?
4
Suppose 20 = -30*m + 26*m, -3*o + 220 = -5*m. Calculate the remainder when 646 is divided by o.
61
What is the remainder when 83/3*(-7 + 13) is divided by 44?
34
Suppose 0 = 2*x - 5*b - 28, 5*x - 3*x - 2*b = 34. Suppose 58 - 1 = x*t. Calculate the remainder when 3 is divided by t.
0
Let v = 40 - -104. Suppose 20*c = 24*c - v. Calculate the remainder when c is divided by 19.
17
Let s(c) be the first derivative of c**3/3 + 3*c**2/2 - 7*c + 11. What is the remainder when s(-7) is d