at is the remainder when 19 is divided by z/(-12) + 2/4?
5
Let y(l) = l**3 + 8*l**2 - 5*l - 11. Let i(t) = -2*t**2 - 3*t + 1. Let u be i(-3). Let v be y(u). Let g = 57 - v. What is the remainder when 83 is divided by g?
27
Let l(k) = -k**2 - 17*k - 65. What is the remainder when 192 is divided by l(-10)?
2
Let q = -1 - 10. Let p = q - -15. Suppose 0 = -0*v + 2*v - p. Calculate the remainder when v is divided by 2.
0
Let a = -10 + 14. Calculate the remainder when (-9 - 2)/(a - 5) is divided by (-12 - -12) + 3/1.
2
Suppose -98*l + 767 = -213. Let v = 11 - 5. Calculate the remainder when 4/(-6)*(-171)/v is divided by l.
9
Let i(f) = -f**2 - 12*f - 25. Calculate the remainder when i(-3) is divided by 1.
0
Suppose -3730 = -15*v + 1175. What is the remainder when v is divided by 66?
63
Let d(w) = -5*w - 13. Let r(m) = -4*m - 14. Let o(i) = -2*d(i) + 3*r(i). Let n(c) = -c + 3. What is the remainder when n(0) is divided by o(-9)?
1
Let x(l) be the third derivative of l**4/24 + 23*l**3/6 - l**2. Let f = 54 + -16. Calculate the remainder when f is divided by x(-13).
8
Let v = -6585 + 6595. Suppose 2*c = -4*p + 58, 3*c - 6*p = -2*p + 37. Suppose m - c = -0*m. What is the remainder when m is divided by v?
9
Suppose 13*l - 142 - 144 = 0. What is the remainder when 439 is divided by l?
21
Let t be (15/5 + 0)/(6/(-8)). What is the remainder when (107/(-2))/(2/t) is divided by 27?
26
Let i(o) = 5*o + 23. Let y be i(-4). Suppose 12 = b + 12*p - 8*p, -3*p = -y. Let a = 2 - -20. Calculate the remainder when a is divided by b.
6
What is the remainder when 136 is divided by 287/2583 + (1 - 413/(-9))?
42
Let b(w) be the first derivative of w**4/4 + 17*w**3/3 - 2*w**2 - 2*w + 10. Calculate the remainder when b(-17) is divided by 17.
15
Suppose -5*c = -4*v + 114, 4*v - 52 = 2*c + 68. Calculate the remainder when v is divided by (-2)/4*-11*2.
9
Suppose -4*s = -2*r + 92 - 2, r + s = 42. What is the remainder when r is divided by 32?
11
Suppose -30*q = -34*q + 48. What is the remainder when 105 is divided by q?
9
Let c = 13 + -3. Let w be (-1 + 3 - 2)/(-2). Suppose -4*n + 2*n + 58 = w. Calculate the remainder when n is divided by c.
9
Let d(s) = s + 5. Let g be d(0). Let m(v) = -v + 1. Let k be m(g). Calculate the remainder when 67 is divided by ((-51)/12)/(1/k).
16
Let n = -1024 - -1053. What is the remainder when 367 is divided by n?
19
Let f(p) = -p**3 - 2*p**2 - p + 1. Let o(g) = -6*g - 3. Let m be o(6). Let b = 63 + m. Calculate the remainder when b is divided by f(-3).
11
Let t(g) = 6*g - 9. Suppose -3*j = -6 - 6. Let o(x) = -5*x + 8. Let y(k) = j*t(k) + 5*o(k). Calculate the remainder when 39 is divided by y(-6).
9
Suppose -5*b = -57 - 28. Let r(n) = n**3 + 9*n**2 + 3*n - 10. What is the remainder when r(-7) is divided by (1 + 3 + -3)*b?
16
Calculate the remainder when 97 is divided by 245/15 + (-14)/(-21).
12
Suppose 46*n - 51*n + 345 = 0. Calculate the remainder when n is divided by 26.
17
Let u(q) = -13*q + 427. What is the remainder when 69 is divided by u(30)?
32
Let l be (56/12)/(1/3). Suppose 3*w - 91 - l = 0. Suppose -54*z + 45*z + 1233 = 0. Calculate the remainder when z is divided by w.
32
Let c = 183 - 174. Calculate the remainder when 492 is divided by c.
6
Let h = -2094 + 2207. What is the remainder when 674 is divided by h?
109
Suppose -3 = -2*i + 5*i. What is the remainder when 208 is divided by (-3)/i - (-6 - (14 - 2))?
19
Let g = -85 + 94. What is the remainder when 35 is divided by g?
8
Let y be (4/3)/(-4)*-6. Suppose 5*m + 18 = 2*p, y*p + 3*m - 2 + 0 = 0. Suppose -p*v = -134 + 18. What is the remainder when v is divided by 15?
14
Let b be (-3)/(27/(-3138)) - 4/(-12). Suppose -3*m + 272 + b = 0. Calculate the remainder when m is divided by 35.
32
Suppose 20 = 4*s, -3*z + 3*s + 7 = 1. What is the remainder when 144 is divided by z?
4
Suppose 0 = c - 19 + 15. Suppose -3*d = c*d - 105. Calculate the remainder when 131 is divided by d.
11
Let y = -1543 - -1669. Calculate the remainder when y is divided by 31.
2
Let n = -25 + 35. Let s = 27 + -57. Calculate the remainder when (23/(-3) + -1)*135/s is divided by n.
9
Suppose 0 = 8*c - 138 - 1446. What is the remainder when c is divided by 49?
2
Suppose 6*v - 2*v + 12 = 0. Let d be 5/(v + -2) - 159. Let i = -80 - d. What is the remainder when i is divided by 21?
17
Let w(q) = q**3 + 6*q**2 - 7*q + 4. Let d be w(-7). Suppose 3*x + o - 124 = x, -d*x - o = -250. Calculate the remainder when x is divided by 27.
9
Let k(z) = -z**2 - 10*z + 7. Let i be k(-11). Let o be (2/5)/(i/(-60)). Calculate the remainder when 142/6 + 2/o is divided by 13.
11
Let a = -31 - -33. Calculate the remainder when 2/(-4)*(a + -2 - 66) is divided by 18.
15
Suppose n = 2*v + 4*n - 1822, 4*n - 1822 = -2*v. What is the remainder when v/11 + (-16)/(-88) is divided by 17?
15
Let q = 292 - 150. Let u = -52 + q. What is the remainder when u is divided by 13?
12
Let d be (-36)/(-3)*(-9)/(-6). Let r be ((-27)/d)/((-3)/152). Suppose 3*x = 5*x - r. Calculate the remainder when x is divided by 20.
18
Let q(y) = 9*y**2 - 3*y + 2. Let f be q(1). Let j = f + -6. Suppose 5*x + h = 52, -j*x + 6*h + 12 = 2*h. Calculate the remainder when x is divided by 3.
1
Let j(k) = -2*k**3 + 5*k - 2. Let f be j(-2). Suppose 220 = f*b - 5*y, -5*b + 4*y = -10*b + 275. Calculate the remainder when b is divided by 14.
13
What is the remainder when (-1)/(-5) - (-18 + 856/(-20)) is divided by 19?
4
Calculate the remainder when 6/(-36)*-42 + 195 is divided by 16.
10
Suppose 17 = 4*f + 16*z - 11*z, -3*z - 1 = f. Calculate the remainder when 72 is divided by f.
0
Suppose -2*z - 2*z + 80 = 0. Suppose 3*n - 232 = 5*s - 12, -3*n - 3*s = -228. What is the remainder when n is divided by z?
15
Suppose 1280 = 10*l - 7490. Calculate the remainder when l is divided by 16.
13
Suppose -12 = 2*c + 10*c. Let p = -11 - -20. What is the remainder when 16/c*(p - 10) is divided by 7?
2
Suppose 15*o - 66 = 69. Calculate the remainder when 23 is divided by o.
5
Let j(p) be the second derivative of -p**3 + 7*p**2 - 25*p. What is the remainder when 3 is divided by j(2)?
1
Suppose 383*k - 381*k - 176 = -5*x, 4*k - 4*x = 324. Let c(n) = -17*n**3 + n**2 - n - 1. Calculate the remainder when k is divided by c(-1).
11
Suppose -2*g + 446 = 436. Calculate the remainder when 59 is divided by g.
4
Suppose -3*z + 67 = -86. Suppose -5*s + z = -4. Calculate the remainder when (-55)/(-3) + (-14)/(-21) is divided by s.
8
Suppose -28*t - 33 + 817 = 0. Suppose -3*x = x - 68. Calculate the remainder when t is divided by x.
11
Let r(g) = -g**2 + 12*g + 24. Let h be r(11). Suppose -31*c = -h*c + 16. Let m = 36 + -22. Calculate the remainder when m is divided by c.
2
Suppose 0 = -13*b - 756 + 4435. Calculate the remainder when b is divided by 26.
23
Let f(a) = 2*a + 32. Let h be f(-10). Suppose -5*b + h = 2. Let i(x) = x + 1. Calculate the remainder when i(1) is divided by b.
0
Let k(f) = -f - 6. Let m be k(-6). Suppose m*u + u = 41. Suppose 5*n - g - u = 0, -3*g - 11 = -3*n + g. Calculate the remainder when 24 is divided by n.
6
Calculate the remainder when 8854/95 + 2/(-10) is divided by 25.
18
Let w(m) = m**3 + 18*m**2 - 3*m - 42. What is the remainder when 37 is divided by w(-18)?
1
Let f = 93 + -91. Let b(p) be the third derivative of p**6/60 - p**5/60 - p**4/8 + p**3/2 - p**2. Calculate the remainder when b(f) is divided by 7.
2
Suppose -6*i - 15*i + 294 = 0. Let u(a) = 0*a - 8*a + 3*a + 0 - 4. Calculate the remainder when u(-6) is divided by i.
12
Let s(f) = f**3 - 8*f**2 + 2*f + 7. What is the remainder when 92 + -1 + 3 + -3 is divided by s(8)?
22
Let f = 26 + 21. What is the remainder when f is divided by 35?
12
Let s = -1005 - -1060. Suppose -4*n = 3*j - 57, -4 = 3*j - 2*n - 43. Calculate the remainder when s is divided by j.
10
Let m(c) = 2*c**2 - 17*c + 10. Calculate the remainder when m(10) is divided by 16.
8
Let a = 89 + -35. Calculate the remainder when a is divided by 15.
9
Suppose 75 = 5*a - 310. Let q = -66 + a. What is the remainder when 53 is divided by q?
9
Suppose -7*j + 4 = -31. Suppose -j*h - b + 571 = 2*b, 5*b - 10 = 0. Calculate the remainder when h is divided by 23.
21
Suppose 488 = 3*g - 11*g. Let v = -56 - g. What is the remainder when 24 is divided by v?
4
Let q(c) = 2*c + 5