emainder when i is divided by 12.
1
Suppose -o = 2 + 14. Calculate the remainder when (63/(-3))/((-6)/4) is divided by 19 + o - -1*2.
4
Let z(u) = 160*u - 71. What is the remainder when z(2) is divided by 78?
15
Let s(a) = -a**2 - 4*a + 49. Calculate the remainder when s(-8) is divided by 7.
3
Suppose 30 = 7*v + 3*v. Calculate the remainder when 84 - (-1 + (6 - v)) is divided by 42.
40
Let o(u) = 86*u**2 - 3*u + 3. Calculate the remainder when o(1) is divided by 29.
28
Let w = 22 - 82. Let c = w - -105. Calculate the remainder when c is divided by 18*(-1)/(-6)*4.
9
Suppose 0 = 5*x - 6*n + 4*n - 116, 4*x = -3*n + 79. Let s be ((-165)/x)/(1/2). Let j = s + 46. What is the remainder when j is divided by 11?
9
Suppose c = 3*w + 45, 70*c - 66*c + 2*w = 208. What is the remainder when 137 is divided by c?
35
Let t(i) be the first derivative of -i**5/30 - i**4/24 - i**3 - 7. Let a(r) be the third derivative of t(r). What is the remainder when 10 is divided by a(-2)?
3
Suppose -l + 6711 = 3*r, 0 = -5*r - 7*l + 9*l + 11185. What is the remainder when r is divided by 35?
32
Let u(n) = 2*n**3 + 17*n**2 - 8*n + 21. What is the remainder when u(-8) is divided by 30?
29
Let a(k) = 93*k + 9. What is the remainder when a(1) is divided by 27?
21
Suppose 7*t = 5*t + 58. Let d = t + -15. What is the remainder when 19 is divided by (-511)/(-49) - 6/d?
9
Let q = 340 + -163. Suppose 2 = -3*g + 11, 4*v - q = g. What is the remainder when v is divided by 12?
9
Suppose 0*c = p + c + 26, 4*p + 69 = 3*c. Let y(j) = j**3 + 22*j**2 + 19*j - 5. What is the remainder when y(p) is divided by 13?
11
Let j = -16 - -26. Let y = j + -7. Suppose w - y*w - 3*d = -21, -w + 14 = 5*d. Calculate the remainder when 34 is divided by w.
7
Suppose -l - 8 = -27. Let c = 2724 - 2687. Calculate the remainder when c is divided by l.
18
Suppose 328 = 20*z - 292. Calculate the remainder when 73 is divided by z.
11
Let j = -82 - -87. What is the remainder when 14 is divided by j?
4
Let r(b) = b**2 - 13*b + 17. Calculate the remainder when r(-8) is divided by 47.
44
Suppose -2*l = -s - 10 + 126, 3*l = 5*s - 566. What is the remainder when s is divided by 52?
8
Let h = 173 - 116. Let r(v) = v**2 - 5*v - 4. Suppose -i - 2 = 2*k, 0 = 5*i - k - k - 50. What is the remainder when h is divided by r(i)?
17
Let v be 115/(-1) - (-1 - 2). Let f = v + 193. Suppose 15 = -3*j, g - j = -2*j + f. Calculate the remainder when g is divided by 22.
20
Let w(u) = 12*u**2 - 2*u - 7. Calculate the remainder when w(4) is divided by 40.
17
Let a = -319 + 344. What is the remainder when a is divided by 14?
11
Let o = -2256 - -3639. What is the remainder when o is divided by 14?
11
Let q(n) = -11*n**2 - 3*n - 2. Let l be q(3). Let k be (-444)/22 + (-20)/l. What is the remainder when 624/15 + 12/k is divided by 11?
8
Let b(i) = -i**2 + 7*i + 1. Let q be b(6). Suppose -4*s - 12 = -q*s. Calculate the remainder when 60/(-10)*(-4)/(-30) - (-256)/20 is divided by s.
0
Suppose 6*t + 6 = 8*t. Suppose -t*o - 374 = 4*y - 0*y, o = -2. What is the remainder when 29 is divided by (-14)/42 + y/(-6)?
14
Let i = 46 + -23. Calculate the remainder when i is divided by ((-54)/(-21))/6*21.
5
Suppose 2*u = -3*p - 2*u + 201, p + 3*u - 67 = 0. Let t = -10 + -57. What is the remainder when p is divided by t/(-3) - (-4)/6?
21
Let f(r) = -76*r + 1184. What is the remainder when 127 is divided by f(15)?
39
Let b be (-2)/(-4)*(20/4 - -5). Suppose b*j - 102 = 218. What is the remainder when j is divided by 17?
13
Let b = -12 + 18. Let q = -47 + 82. Let m = -31 + q. What is the remainder when b is divided by m?
2
Let g(l) = 13*l**3 - 3*l**2 + 3*l - 3. Let z be g(3). Suppose 7*o - 2*o = z. Let p = o - 44. Calculate the remainder when 85 is divided by p.
19
Suppose -2*x = 3*o - 39 + 14, 3 = -o. Suppose y = -0*y + x. Calculate the remainder when 51 - (0/(-2) - -2) is divided by y.
15
Suppose -m - 5*s = -6*m + 55, s + 22 = 2*m. Suppose 4*h - 1 = m. Suppose -36*k = -40*k + 4. What is the remainder when h is divided by k?
0
Suppose -4*b + 128 = 2*l, l - 9 = -b + 22. Suppose 0 = -0*v + 3*v - 291. What is the remainder when v is divided by b?
31
Let r = 472 - 341. What is the remainder when r is divided by 15?
11
Let z(c) = c - 42. Let w be 159/9 + (-6)/9. Let x be z(w). Let h = x + 44. Calculate the remainder when h is divided by 7.
5
Let p(z) = -z**3 - 6*z**2 - 16*z - 24. What is the remainder when p(-5) is divided by 21?
10
Let v(u) = u**2 + 2*u + 4. Let s be v(-3). Let q = s + 1. What is the remainder when 29 is divided by q?
5
Calculate the remainder when 391 - (-9 + 6)/(-3) is divided by 78.
0
Let f(y) = 33*y - 1. Let g be f(-2). Let a = 115 + g. What is the remainder when a is divided by 324/33 - (-16)/88?
8
Suppose -2 = i + 2. What is the remainder when (-27)/18 - 178/i is divided by 15?
13
Let n(k) = -9*k - 30. Suppose 5*x = 5*q + 70, 3*q + x + 8 = -30. Suppose 3*w - 14 - 52 = 0. Calculate the remainder when n(q) is divided by w.
21
Suppose -88*m + 109513 = 9*m. Calculate the remainder when m is divided by 87.
85
Let g = 16 + -14. Suppose -1 + 7 = g*k. Suppose 2*s - 165 = -k*s. What is the remainder when 65 is divided by s?
32
Suppose -210*a + 212*a = 6. What is the remainder when (-57)/(-9) - 2/(-3) is divided by a?
1
Suppose 30 = 5*r - 20. Suppose -r*j + 6*j = 24. Calculate the remainder when 8 is divided by (20/8 - 3)*j.
2
Let v(r) = 3*r**2 - 13*r + 10. Let y be v(6). What is the remainder when 123 is divided by (20/y)/(1/36)?
15
Let b(h) = -30*h + 18. Calculate the remainder when b(-4) is divided by 18.
12
Let j(x) = -57*x - 325. What is the remainder when j(-10) is divided by 41?
40
Let c = -150 + 224. Suppose 2*o - o + 14 = q, 2*o - 22 = -3*q. What is the remainder when (-1)/(-4)*c*2 is divided by q?
7
Let w = 14 + 38. Let a = -16 + w. Calculate the remainder when (-51)/153*(-205 - 2/1) is divided by a.
33
Let y(d) = -5*d**3 - 3*d**2 + 35*d + 163. Calculate the remainder when y(-4) is divided by 85.
40
Let j = 50 + -50. Suppose 7*t - 200 + 39 = j. What is the remainder when t is divided by 8?
7
Let z(k) = -k**3 - 9*k**2 - 26*k - 336. Let q = 91 - 40. What is the remainder when q is divided by z(-10)?
3
Suppose -37*i - 7*i + 2068 = 0. Calculate the remainder when 3005 is divided by i.
44
Let s = 71 - -40. What is the remainder when s is divided by 39?
33
Let b(g) = -g**3 - 6*g**2 - 15*g + 4. Let a be b(-7). Suppose 64 + a = 6*k. Calculate the remainder when k is divided by 15.
7
Suppose -445*b = -423*b - 528. What is the remainder when 190 is divided by b?
22
Let j = 124 - -163. What is the remainder when j is divided by 18?
17
Let x be (-6)/(-18)*2*-6. Let c be ((-22)/x)/(5/(-10)). Let f(l) = l**2 + 10*l + 2. Calculate the remainder when 51 is divided by f(c).
12
Let g = -22 + 44. Let j(p) = 2*p**3 + 7*p**2 - 2*p + 8. Let t be j(4). Suppose 0 = 21*o - o - t. Calculate the remainder when g is divided by o.
10
Let w = 18 + -62. What is the remainder when (w/66)/((-268)/267 + 1) is divided by 36?
34
Let v(h) = -h**2 - 13*h - 9. Let x = -10 - 0. Suppose 144 = 4*u + g - 96, 5*g + 60 = u. Calculate the remainder when u is divided by v(x).
18
Suppose -320 = 48*w - 52*w. Suppose 37*u - w = 35*u. Calculate the remainder when u is divided by 12.
4
Let c be 6*12/4 - -1. Suppose -2*y = -c - 5. Calculate the remainder when 33 is divided by y.
9
Let z(n) = -22*n - 5. Let m be z(-2). Let h = 51 - m. What is the remainder when h is divided by 4?
0
Suppose -5*a = -m - 65, -6*a + 39 = -3*a + 2*m. Calculate the remainder when (2/(-8))/1 + (-26040)/(-1120) is divided by a.
10
Suppose 0 = -15*p + 19222 - 4147. What is the remainder when p is divided by 112?
109
Let n(x) = -16*x**3 - 3*x**2 - 9*x - 15. What is the remainder when n(-2) is divided by 15?
14
Let d(s) = -3*s - 8. Let w(b) = 1. Let q(f) = -d(f) - 5*w(f). Let m be q(5). Suppose g = 2*g - m. Calculate the remainder when g is divided by 5.
3
Let v(y) = -5*y - 152. Calculate the remainder when 303 is divided by v(-36).
23
Let c(o) = 348*o**2 + o + 2. What is the remainder when c(-1) is divided by 22?
19
Let b = 33 + -29. Suppose -b*k = -5 - 11. What is the remainder when 2 + (1 - 0) - -1 is divided by k?
0
Suppose -10*h + 13*h = -5*j + 87, 5*h = 5*j - 95. What is the remainder when 89 is divided by j?
1