t z be 18/(-12) + (-29)/(-2). Suppose 3*r - 76 = -z. What is the remainder when r is divided by 11?
10
Let z(b) = 11*b**2 - b. Calculate the remainder when 2/13 + (-136040)/(-1976) is divided by z(-1).
9
Suppose 0*n + o = 3*n - 1451, 0 = -2*n - 3*o + 960. What is the remainder when 28 is divided by (2 - (-2)/(-4)) + n/42?
2
Suppose -3*h - 3*v = -6, 2*h + 1 = 4*v + 5. Suppose -a - 2*a = 0, 0 = h*j + a - 16. Calculate the remainder when (-4 - -2)*(-3 + (-33)/2) is divided by j.
7
Let q(a) = 5*a + 100. What is the remainder when q(-12) is divided by 6?
4
Suppose 2*j + 4*q - 52 = 0, -5*j + 0 = -5*q - 130. Let u be (-30)/(-4)*(-4)/6. Let n(m) = -3*m - 6. What is the remainder when j is divided by n(u)?
8
What is the remainder when (-36)/(-216) + (-545)/(-6) is divided by 6?
1
Let h = -30 - 14. Let k = h + 60. Calculate the remainder when 52 is divided by k.
4
Let m = 202 + -189. Calculate the remainder when 64 is divided by m.
12
Suppose -18*b - 324 + 954 = 0. Calculate the remainder when 38 is divided by b.
3
Let v = -126 + 382. Calculate the remainder when v is divided by 19.
9
Suppose 115*o - 50*o - 585 = 0. Calculate the remainder when (0 + -5)/(3/(-12)) is divided by o.
2
Suppose 0 = 2*t - 4*q + 16, 40 = -7*t + 2*t - 4*q. What is the remainder when 24 is divided by (2/t)/((-8)/416)?
11
Suppose -24*l + 16*l + 24 = 0. What is the remainder when 11 is divided by l?
2
Let j = -132 + 227. Suppose 5*a = -5*l + 375, a + 4*a = -l + j. Calculate the remainder when l is divided by 8.
6
Let z(k) = -k**3 + 19*k**2 - k + 21. Let s be z(19). Suppose -p + 2*r - r + 37 = 0, s*p - 69 = r. What is the remainder when p is divided by 12?
8
Let j(o) be the first derivative of o**3/3 + 3*o**2/2 + 169*o - 5. Let k be j(0). Calculate the remainder when 49 is divided by (k/26)/((-2)/(-4)).
10
Suppose 17*p - 8*p = 13*p - 52. Calculate the remainder when (-94)/(-4) + (-1)/2 is divided by p.
10
Suppose 4*l - 9*l = -40. Suppose 0 = -12*c + 7*c + 490. Suppose -3*s = -5*o - 68, 0*s = -3*s - o + c. Calculate the remainder when s is divided by l.
7
Suppose -6*r + 59 = -31. Calculate the remainder when r is divided by 15.
0
Suppose -13 - 2 = 3*d, d = 3*k - 296. Suppose -3*l = 2*l - 170. What is the remainder when k is divided by l?
29
Suppose -l = -2*u - 147, -2*l + 72 = 4*u - 230. What is the remainder when l is divided by (6/(-2))/(-3) + 37?
35
Let i = 7 - 5. Let h(y) = -y**3 - 2*y**2 + 13*y + 7. What is the remainder when (-6)/i*(-124)/12 is divided by h(-5)?
14
Let j(p) = -p**3 + 6*p**2 + 7*p + 12. Let z(m) = -5*m**3 + 24*m**2 + 27*m + 48. Let n(c) = 9*j(c) - 2*z(c). Calculate the remainder when n(-4) is divided by 8.
0
Suppose -19 = 3*z - 13. Calculate the remainder when 54 is divided by (z/3)/((-2)/33).
10
Suppose 6*m - 15 = m. Suppose 0 = -m*u - 3*n - 2*n + 59, 3*u - 2*n = 52. What is the remainder when -13*(-2)/4*8 is divided by u?
16
Let i(s) = -10*s**3 + s**2 - 6*s - 10. What is the remainder when i(-2) is divided by 5?
1
Let a = -105 + 109. What is the remainder when 67 is divided by a?
3
Let t be ((-36)/(-24))/((-6)/(-788)). Suppose -11*z + 892 = -t. What is the remainder when z is divided by 25?
24
Let y be -1 + 5/((-10)/(-16)). Let k = -27 + 55. What is the remainder when k is divided by 9 + (y - 4) + -2?
8
Let l = 38 + 0. Suppose -l = -7*y - 24. Let z = 0 + 5. What is the remainder when z is divided by y?
1
Suppose 0 = -6*q - 1802 + 1934. What is the remainder when 152 is divided by q?
20
Suppose 129*p - 212 = 125*p. Calculate the remainder when p is divided by 22.
9
Let a(j) = j**3 + 5*j**2 - 10*j - 22. Let k be a(-6). Calculate the remainder when (-84)/k*(-9)/27 is divided by 6.
2
Suppose 7*g + 464 = 5*g. Calculate the remainder when (3/(-6))/(4/g) is divided by 8.
5
Suppose 0 = -2*o + 5*t - 42, -o + 0*t - 18 = -t. Let m(j) = -3*j + 27. What is the remainder when m(o) is divided by 16?
11
Let a = -14 - -11. What is the remainder when 15 is divided by (-22)/4*(-2 + 0) + a?
7
Let o(n) = n**3 - 6*n**2 - 8*n + 9. Let s be o(7). Calculate the remainder when 16 is divided by 11 - ((-2)/s - -3).
7
Let l(t) = t**2 - 10*t - 41. What is the remainder when l(-13) is divided by 10?
8
Let p be 2/10 - 11/5. Let n(t) = -3*t - 14. Let o be n(-7). What is the remainder when 534/42 - p/o is divided by 4?
1
Suppose -n = 2*c - 41, -102 = 43*c - 48*c - 3*n. What is the remainder when 115 is divided by c?
10
Let a(k) = -81*k + 589. What is the remainder when a(6) is divided by 30?
13
Suppose 69*c = 52*c + 1700. What is the remainder when c is divided by 35?
30
Suppose 17 = -j + 3. Let r be (-1)/(2 + 0)*6. Let h = r - j. Calculate the remainder when 40 is divided by h.
7
Let v(k) = -k**2 - 9*k - 4. Let t be v(-5). Suppose 5*l = -5, -l - t = -d - 2*d. Calculate the remainder when d is divided by 3.
2
Let i(a) = 10*a - 14. Let c be i(4). Suppose 30 = r + c. Suppose 0 = -3*s + 45 - 12. Calculate the remainder when s is divided by r.
3
Let b(k) = -k**3 - 14*k**2 + 13*k - 12. Suppose 9 + 36 = -3*q. What is the remainder when 34 is divided by b(q)?
16
Let u be (-4)/7 + 3240/84. Suppose 17*a - 19*a + u = 0. What is the remainder when a is divided by 5?
4
Let g = 548 - 505. Calculate the remainder when 111 is divided by g.
25
Suppose -5*k - p = -219, k + p + 27 = 74. Let d(o) = -27*o + 953. Calculate the remainder when d(29) is divided by k.
41
What is the remainder when (-25 - 310)*24/(-20) is divided by 14?
10
Suppose -2 = 2*j - 3*j, -5*t = j - 12. What is the remainder when 11 is divided by t?
1
Let a = -23 + 19. What is the remainder when (7 + 4)*a*-1 is divided by -16*(5 + -4 + -2)?
12
Let r = 261 - 187. What is the remainder when r is divided by 23?
5
Let p(w) = -50*w - 472. What is the remainder when p(-22) is divided by 14?
12
Suppose 4*k = 2*h - 1692, 25 = -5*k + 10*k. What is the remainder when (-3 - (-44)/16)*h/(-2) is divided by 11?
8
Let v(l) be the second derivative of 5*l**5/4 + l**4/12 - l**3/3 + l**2 - 16*l. Calculate the remainder when 48 is divided by v(1).
22
Suppose -3*x = 5*u + 2, u = -2*x + 5*x + 14. Let n = x + 16. What is the remainder when 47 is divided by n?
11
Suppose -r + 91 = 9*z - 5*z, 313 = 4*r - z. What is the remainder when r is divided by 14?
9
Let l(g) = 4*g**2 + 9*g + 24. What is the remainder when 93 is divided by l(-2)?
5
Let x be (-92)/16*(5 + -1). Let s = 36 + x. Calculate the remainder when 63 is divided by s.
11
Let v(c) = 5*c + 78*c**2 - 77*c**2 - 1 + c. Suppose 3*d + 9 = 24. What is the remainder when v(-7) is divided by d?
1
Let a(o) = o**3 + 5*o**2 - 8*o - 6. Let l be a(-6). Suppose 2*x = l*x - 160. What is the remainder when x is divided by 21?
19
Suppose -v = -0*v. Suppose v*m = -m + 91. Suppose m = 6*b - 5*b. What is the remainder when b is divided by 23?
22
Let u be (791/14)/((-4)/(-8)). Let j = u + -108. What is the remainder when j is divided by 3?
2
Let g(x) = 80*x - 35. Calculate the remainder when 487 is divided by g(2).
112
Suppose -423 = 8*y - 1471. What is the remainder when 152 is divided by y?
21
Let i(k) = -k**3 + 3*k**2 + 11*k - 3. Let w be i(5). Suppose w*a - 5*f + 25 = 4*a, -9 = 3*f. What is the remainder when a is divided by 4?
0
Let s(f) be the third derivative of f**5/60 - 19*f**4/24 + 4*f**3 - 15*f**2. What is the remainder when s(20) is divided by 23?
21
Suppose 0*g = -2*g + 82. Let t(u) = 2*u**2 - 5*u - 1. Suppose -2*z = -2*j + 2, -3*j - 3*z + 21 = -0*j. Calculate the remainder when g is divided by t(j).
8
Let i be 6/4 - ((-2241)/(-2))/(-9). Suppose 6*c + c = i. Suppose -5*y + 0*y - q = -352, 0 = -3*y - 2*q + 207. What is the remainder when y is divided by c?
17
Suppose -244 = -2*i + t, -6*t - 373 = -3*i - t. Calculate the remainder when i is divided by 7.
2
Suppose 0 = -15*s + 11*s + 116. Calculate the remainder when s is divided by 5.
4
What is the remainder when (-10)/(40/(-1324))*1 is divided by 42?
37
Let r(q) be the first derivative of q**4/4 - 4*q**3/3 + 2*q**2 + 4*q + 3. Calculate the remainder when 62 is divided by r(3).
6
Suppose -22*r = -26*r + 372. Let o(c) = 4*c**2 - 2*c - 5. Let d be o(4). Suppose 5*s = 69 + d. What is the remainder when r is divided by s?
21
What is the remainder when (4 + -9)/((-692)/138 - -5) is divided by 87?
84
Suppose 12*k - 11*k - 7 = 0. Suppose k*u = 11*u - 420. Suppose -u = -5