the remainder when k is divided by 15?
12
Suppose 0 = 5*l + 21*l - 1274. Let a = -7 + 24. Calculate the remainder when l is divided by a.
15
Let l(b) = 35*b**2 + 30*b + 78. What is the remainder when l(-7) is divided by 24?
23
Suppose 0*b - 493 = -5*b - 4*u, -4*b - 5*u + 398 = 0. Calculate the remainder when b is divided by 29.
10
Let k be (-118)/(-3)*(4 - 1). Suppose -2*n + 4*l = -72, -n = 2*n + 4*l - k. What is the remainder when n is divided by 10?
8
Let d(u) = 5*u - 67. Let l be (-844)/(-12) + (-1)/3. Suppose -l = -4*w + 10. Calculate the remainder when d(21) is divided by w.
18
Let c(j) = -j**2 - 8*j + 6. Let k be c(-8). Let t(s) = -2*s + 9. Let o be t(k). What is the remainder when (-9)/(-3) + o + 35 is divided by 9?
8
Calculate the remainder when ((-6)/8)/(78/(-1040)) is divided by 4.
2
Suppose -105*u = -2256 - 4674. What is the remainder when 131 is divided by u?
65
Suppose -2*h + 147 = h. Calculate the remainder when ((-36)/(-14))/(1/7) is divided by (-10)/2*h/(-35).
4
Let g = 335 + -218. Suppose 0 = -3*p + 8*p - 60. Calculate the remainder when g is divided by p.
9
Suppose 0 = 2*v - 2*f - 768 - 350, 3*f - 2779 = -5*v. Suppose -8*c = 205 - v. What is the remainder when c is divided by 9?
8
Let a(p) be the third derivative of p**6/120 + p**4/4 + 5*p**3/6 - 4*p**2. Let u be a(5). Suppose -2*l = 3*l - u. What is the remainder when l is divided by 11?
10
Suppose 4*z = 7*z - 9. Suppose 3*d - 23 = -a, 3*d + 5 + 16 = z*a. What is the remainder when 21 is divided by a?
10
Suppose 0 = 5*h - 4*h - 81. What is the remainder when h is divided by 21 - (0/1)/(0 - -2)?
18
Let k(z) = 2*z**2 + z + 1. Let s be k(-1). Suppose -2 + 0 = -s*x. What is the remainder when 30 is divided by (13 - 11) + 13 + x?
14
Suppose 5*x + 0*x + 715 = 5*z, 0 = -4*z + 2*x + 564. What is the remainder when z is divided by 18?
13
Let n(j) = 5*j + 42. Calculate the remainder when 41 is divided by n(-4).
19
Suppose -m - 3*q + 6 = 0, m - 5*q = -2*m + 46. Let r = m + 0. What is the remainder when r - (-1 + -1 + 5) is divided by 5?
4
Let w(g) = -g**3 + g**2 + 10*g + 9. Let t(q) = 2*q**2 + 16*q - 10. Calculate the remainder when w(-5) is divided by t(-9).
5
Let r(a) = -41*a - 4. Let u be r(4). What is the remainder when 17 is divided by (2 + 1)/((-7)/(u/9))?
1
Let r(m) = 3*m**2 - 36*m + 18. What is the remainder when 268 is divided by r(12)?
16
Suppose 3*t = -4*z - 0*z - 13, 4*t = 4*z - 8. Let y(n) = -n + 4. Let q = 26 + -1. Calculate the remainder when q is divided by y(t).
4
Suppose 5*y + 6 = -d, -d - y = 4*d - 66. What is the remainder when 137 is divided by d?
11
Suppose 0 = 3*y - 12, -344*c + 347*c + 3*y = 27. Let o be 0 + 1*(9 - 2). Suppose -2*i - 115 = -o*i. What is the remainder when i is divided by c?
3
Let z = -56 - -82. Calculate the remainder when 49 is divided by z.
23
Let i = 103 - 99. Let y = -60 - -126. What is the remainder when y is divided by 1/i*(4 - -30)*2?
15
Calculate the remainder when 173 is divided by ((-1)/9)/((-52)/2340).
3
Let y = 6 + -4. Let o(b) = 0*b - y - 4*b + 5 + 2*b. What is the remainder when o(-5) is divided by 4?
1
Let d(z) = 5*z**2 - 3*z. Let w = -192 + 273. Calculate the remainder when w is divided by d(2).
11
Let o(n) = -2*n**3 - 3*n + 71. Let s be ((-2)/1)/(3 - -1)*0. What is the remainder when o(s) is divided by 24?
23
Let a = -3 + 4. Suppose 2*l = -l - j + 13, -a = -l - 2*j. What is the remainder when 19 is divided by l?
4
Suppose -33*s + 282 = -147. Calculate the remainder when 76 is divided by s.
11
Suppose 248*u = 263*u - 1185. Suppose -3*n - 17 = -s - 8*n, -n - 35 = -3*s. Calculate the remainder when u is divided by (s/10)/(2/45).
25
What is the remainder when 141 is divided by (3/(-9))/(-8 - 6762/(-846))?
0
Let k(c) = c**3 + 11*c**2 + 11*c - 7. Let u be k(-10). Let l = u + 22. Calculate the remainder when ((-3)/l)/((-4)/540) is divided by 21.
18
What is the remainder when 97 is divided by (-59 + -4)/(-9) - 6?
0
Suppose -4*c + 14 = -4*g - 2, 8 = 5*c - g. Let m = -7 + c. Let b = 31 + m. Calculate the remainder when 49 is divided by b.
24
Suppose 6 = 3*i + 3. Calculate the remainder when i*(16 - -1) - 6/3 is divided by 6.
3
Let a(d) = 78*d**2 + 2*d - 3. Let u be a(1). Let c = -55 + u. What is the remainder when c is divided by 8?
6
Let c = 283 + -201. What is the remainder when c is divided by 17?
14
Suppose 38 = 5*f + 218. Suppose -2*i + 29 = 69. Let d = i - f. What is the remainder when 31 is divided by d?
15
Suppose -u - u = -18. Let p = -9 + 16. Let d = p - -10. Calculate the remainder when d is divided by u.
8
Let q = -739 - -758. Calculate the remainder when 1253 is divided by q.
18
What is the remainder when (15/9 + -2)/((-4)/948) is divided by 40?
39
Let l(n) be the second derivative of -n**5/10 - 7*n**4/6 - n**3/2 + 7*n**2 - 18*n. Calculate the remainder when l(-8) is divided by 13.
10
Let o(a) = -a**3 + 17*a**2 + 17*a + 24. Suppose 2*s = -4*z + s + 75, 5*z = 4*s + 78. Calculate the remainder when 21 is divided by o(z).
3
Suppose -27 = -4*o - 3. Suppose -119*l + 103*l = -160. Calculate the remainder when l is divided by o.
4
Let t(u) = 3*u**2 + 23*u + 26. What is the remainder when 245 is divided by t(-9)?
59
Let n = -229 - -325. Suppose -3*d + 2*q + n = 0, 2*d = -2*d + 3*q + 127. What is the remainder when 67 is divided by d?
33
Let a(r) = 16*r - 9. What is the remainder when a(6) is divided by (-24639)/(-1337) - 6/14?
15
Let j(n) = -178*n**3 - n**2 - 2*n - 1. Let o be j(-1). Let w = o - 120. What is the remainder when w is divided by 12?
10
Let h = -285 + 312. What is the remainder when 99 is divided by h?
18
Let p(u) = u**2 + 7*u. Let i = -17 - -9. Let w be p(i). Calculate the remainder when (2/2)/(w/592) is divided by 25.
24
Let q = -427 - -448. Calculate the remainder when (44 + -1 + -2)*1 is divided by q.
20
Let a(b) = -b**3 - 5*b**2 - 8*b - 5. What is the remainder when a(-5) is divided by ((-6100)/610)/(10/(-16))?
3
Suppose 4*z + 0*l + 76 = -l, 0 = -z + 3*l - 6. Let r = z + 55. Calculate the remainder when r is divided by 21.
16
Suppose 0 = -27*n + 28*n - 15. Calculate the remainder when 177 is divided by n.
12
Suppose -8*a = -2*i - 13*a + 805, -2*a = 3*i - 1235. Calculate the remainder when i is divided by 19.
16
Suppose 26*y - 34*y + 144 = 0. What is the remainder when 215 is divided by y?
17
Calculate the remainder when 91 is divided by (-61110)/(-1649) + 2/(-34).
17
Let p = 13 - 6. What is the remainder when (8 + 1 + 32)/1 is divided by p?
6
Let z(w) = 3*w**2 + w. Let b be z(-2). Suppose 40 + b = 3*y + 2*r, 3*y = 5*r + 43. Suppose -2*n + y + 14 = 0. What is the remainder when 57 is divided by n?
12
Let x be (-82)/(-26) + (-8)/52. Suppose 0*u + u = 3*v + 32, 4*u - 53 = -x*v. What is the remainder when u is divided by 10?
7
Suppose -52*z + 2886 = -1378. Let f = -9 - -4. Let o = f - -26. What is the remainder when z is divided by o?
19
Calculate the remainder when 34 is divided by (-660)/(-75)*15/6.
12
Let y = 9 - 4. Suppose r - a - 93 = 0, -5*r + 38 + 397 = y*a. What is the remainder when r is divided by 13?
12
Let y = 168 + 270. What is the remainder when y is divided by 40?
38
Let a = -30 - -56. Let x(b) = 8*b**2 - 4. Let i be x(-2). Let r = 42 - i. What is the remainder when a is divided by r?
12
Let b = 14 + -9. Suppose 0 = -4*u - b*v + 161, 137 = 4*u + 4*v - 19. Calculate the remainder when ((-12)/8)/((-5)/((-3030)/(-9))) is divided by u.
33
Let l(h) = -22*h + 235. What is the remainder when 176 is divided by l(10)?
11
Let j(k) = 2*k**2 - 6*k - 4. Let n be j(4). Suppose -12*h = -n*h - 520. What is the remainder when h is divided by 22?
21
Let n(f) = -31*f**2 + 60. Calculate the remainder when 166 is divided by n(0).
46
Suppose 14*n = 18*n - 568. Calculate the remainder when n is divided by 15.
7
Suppose 16*o = 17*o - 37. Let k = 53 - 40. What is the remainder when o is divided by k?
11
Let k(v) = v**3 - 7*v**2 + 2. Suppose -q + 93 = 70. Calculate the remainder when k(8) is divided by q.
20
Suppose -35*d + 4 = -37*d. Let c be -8 + (4 + d - -2). What is the remainder when (-796)/(-18) - c/(-18) is divided by 12?
8
Suppose 3*h - 75 = -4*g + 673, 2*h = -g + 492. Suppose h = 5*r - r. Calculate the remainder when r is divided by 31.
30
Let u(r) = 4*r + 28. Let s be u(-12). Let k = 25 + s. What is the remainder wh