alculate the remainder when (0 - -167)/((55/11)/5) is divided by 19.
15
Let d = -18 + 54. Suppose 2*u = f - 4, -2*u = 5*f - 4*u - d. What is the remainder when f is divided by 3?
2
Suppose -7 = -k - 4*l, k + 3*l = -3*k + 28. Suppose 4*u + 0*p + 2*p = 62, 2*u - p - 21 = 0. What is the remainder when u is divided by k?
6
Let j(h) = 2*h + 65. Calculate the remainder when 162 is divided by j(-8).
15
Suppose 7*x - 1013 = 170. What is the remainder when x is divided by 25?
19
Let m be (21/14)/((-1)/(-12)). Suppose -4*b = v + m, -3*b + 4*b - 1 = -3*v. Suppose v = -3*c + 104. Calculate the remainder when c is divided by 12.
10
Let q = 951 + -939. Calculate the remainder when 707 is divided by q.
11
Suppose -2*k + 2 = 22. Calculate the remainder when (k/(-3))/((-2)/(-30)) is divided by (37/(-3))/(-1) + (-4)/(-6).
11
Let h be 6/9 + (-13)/(-3). Suppose h*t - 10 = 510. Let a = t + -39. What is the remainder when a is divided by 22?
21
Suppose 1570 + 2110 = 5*z + 4*g, -z = -5*g - 765. Calculate the remainder when z is divided by 53.
51
Suppose 9*s - 4*z = 4*s + 77, -72 = -4*s - 2*z. Let o(g) = -12*g - 1. Calculate the remainder when o(-7) is divided by s.
15
Suppose c - 27 - 19 = -2*f, -5*f + 109 = c. Suppose -7634 = 40*z - 8394. What is the remainder when f is divided by z?
2
What is the remainder when (-875)/(-9) - 44/198 is divided by 55?
42
Let u = 279 + -263. Calculate the remainder when 140 is divided by u.
12
Suppose 9 = -7*u + 37. Suppose 0 = -u*r + 3*r + 14. Calculate the remainder when r is divided by 9.
5
Suppose -6 = -g - 5. Let v be ((-1)/((-2)/(-86)))/g. Let z = 60 + v. What is the remainder when 67 is divided by z?
16
Let f(g) = -g**3 - 10*g**2 + 12*g - 4. Let z be f(-11). Let k = 13 + z. What is the remainder when 34 is divided by k - (-27 + 4 + 3)?
16
Let v(m) = -2*m**3 - 3*m**2 - 2*m - 2. Let s(w) = -14*w - 91. Let a be 27/(-4) - (4 + (-135)/36). What is the remainder when s(a) is divided by v(-2)?
1
Let z = 24 - 14. Let n = 65 + -60. Suppose -5*a = -n*w - 0*a + 20, -2*a = 4*w - 16. What is the remainder when z is divided by w?
2
Let z = -84 - -139. What is the remainder when 143 is divided by z?
33
Suppose 0 = 5*q - 6*q + 4. Let d = 3 - 0. Suppose -d*y + x = 0, 0 = -y - q*y + 4*x - 7. Calculate the remainder when 1 is divided by y.
0
Suppose 0 = -67*v + 63*v - 4*u + 124, -4*v = -4*u - 92. Calculate the remainder when 565 is divided by v.
25
Suppose 3*w = -3*i + 741, -2*w + 1453 = 6*i - 17. What is the remainder when i is divided by 83?
78
Suppose -424 = d - 456. Calculate the remainder when 120 is divided by d.
24
Let x(s) = 13*s**2 + 12*s - 36. Calculate the remainder when x(4) is divided by 32.
28
Suppose 4*w - 2*a - 2*a - 28 = 0, -2*w - 5*a - 21 = 0. What is the remainder when (3 + 5)*(15/(-12) + w) is divided by 2?
0
Let a(w) = -w + 16. Let k be a(17). What is the remainder when 66 is divided by k*2 + 125/5?
20
Suppose -266 = -2*w - 4*r + 242, -3*r = 2*w - 508. What is the remainder when w is divided by 98?
58
Let c(v) = 11*v - 3. Let l = 17 + -15. Let u be c(l). Suppose -u - 15 = -2*q. What is the remainder when q is divided by 9?
8
Suppose 3*o - 31 = 4*j, o + 0*j - 5*j - 25 = 0. Suppose o*c - 143 = 497. Suppose 10*a = 14*a - c. Calculate the remainder when 94 is divided by a.
30
Suppose -24 - 32 = -4*v. Let a = v + -11. Calculate the remainder when a is divided by 1.
0
Let y = 7 - 4. Let x(k) = -k**3 + 9*k**2 + 34*k + 28. Calculate the remainder when x(12) is divided by y.
1
Suppose -9 = 2*k + 1, 2*y + 4*k - 626 = 0. What is the remainder when y is divided by 21?
8
Suppose -8*s + 649 = -279. What is the remainder when s is divided by 15?
11
Let l(q) = -q**3 + 6*q**2 + 4*q - 3. Let d be l(7). Let c = 16 + d. What is the remainder when -1 + 13 - 8/c is divided by 4?
1
Let d(o) = -o**3 - 2*o**2 + 29*o + 67. Suppose -6 = -z - 2*h, z + 0*z - 20 = 5*h. Calculate the remainder when d(-6) is divided by z.
7
Suppose y + 165 = 3*u + 5*y, -u + 3*y + 68 = 0. What is the remainder when u is divided by 20?
19
Let f(r) = -r + 2. Let i be f(-4). Suppose -i = 2*k + k. What is the remainder when -100*(-2)/(-10)*k is divided by 11?
7
Let q = -57 + 84. What is the remainder when q is divided by ((-56)/(-6) + 0)*(-1374)/(-916)?
13
Let t(p) = 9*p + 2. Let a be t(3). Suppose -4*u - a = 4*g - 5*g, 4*u - 169 = -5*g. Suppose -2*z - z = -54. What is the remainder when g is divided by z?
15
Suppose 2*w - 317 = p, -2*w - 2*p - 475 = -5*w. Calculate the remainder when w is divided by 56.
47
Let u = 35 + -32. Suppose -2*m - 6 = -m + 3*v, 0 = u*v + 15. What is the remainder when 18 is divided by (m/6)/(9/30)?
3
Suppose -m = -5*w + 21, -13 - 4 = -3*m - w. Calculate the remainder when (-16)/m - (94 + 1)*-1 is divided by 47.
44
Calculate the remainder when (-7)/(98/(-91))*(15 + 1) is divided by 54.
50
Let m(n) = -6*n**3 - 27*n**2 - 6*n - 8. Calculate the remainder when m(-6) is divided by 92.
76
Suppose -4*n + 12 = 0, -4*p - n + 184 = 3*n. Suppose -5*u - 8 = 2. Calculate the remainder when p is divided by u/(-2) + (-42)/(-3).
13
Let q(o) = 3*o**3 - 12*o**2 + o - 11. Let z(s) = -2*s**3 + 13*s**2 + 10. Let m(h) = -5*q(h) - 6*z(h). What is the remainder when m(-7) is divided by 18?
15
Suppose -26*x = -432 + 120. What is the remainder when 22 is divided by x?
10
Let h(w) = 2*w**3 - 2*w**2 + 21*w - 93. What is the remainder when h(4) is divided by 10?
7
Suppose 0 = -2*t - 4*g, -5*t - 10 = 2*g - 2. Suppose -32 = -2*f - 0. What is the remainder when f is divided by ((-80)/15 + 5)/(t/36)?
4
Let t(r) be the third derivative of -r**6/60 - r**5/30 - r**3/6 - 5*r**2. Let a be t(-2). Let x = 54 - a. What is the remainder when x is divided by 12?
11
Suppose 7*w - 397 - 37 = 0. Calculate the remainder when 432 is divided by w.
60
Suppose -153*g + 594 = -142*g. What is the remainder when g is divided by 2?
0
Let x(h) = -4*h**3 + 7*h**2 + 21*h - 7. Let b = -71 - -135. What is the remainder when b is divided by x(3)?
9
Let a = 75 - 53. Suppose 5*f - a = 73. Calculate the remainder when 169 is divided by f.
17
Let y = -7 - -4. Let p(u) = -2*u**3 - 4*u**2 - 6*u - 6. Let s(v) = 7*v**3 + v. What is the remainder when p(y) is divided by s(1)?
6
Let a(t) = 3*t - 13. Let i(c) = c**3 - 8*c**2 - 9*c + 11. Let y(b) = b**2 + 3*b + 5. Let j be y(-4). Calculate the remainder when a(15) is divided by i(j).
10
Let s = 1009 + -959. What is the remainder when 349 is divided by s?
49
Suppose 16 = 7*b + 51. Let d = 20 - b. Let w(t) = t**3 - t**2 - 3*t. Calculate the remainder when d is divided by w(3).
7
Let o(w) = 51*w**2 - 76*w + 75. Calculate the remainder when 175 is divided by o(1).
25
Suppose 8*g = 12*g - 100. Suppose -5*r - g = -80. What is the remainder when (-2)/4 + 65/2 is divided by r?
10
Let q(w) = w**3 - 4*w**2 + 4*w + 1. Let l = 0 + 5. Suppose -62 = -l*a - 2. Calculate the remainder when q(5) is divided by a.
10
Calculate the remainder when 85 is divided by (-2)/3 + (13 - (-894)/18).
23
Calculate the remainder when 305 is divided by 1 - 8 - (65 + -132).
5
Let n be ((-68)/(-6))/(2/(-6)). Let d = 98 - 158. Let h = n - d. What is the remainder when h is divided by 14?
12
Let t(j) = -2*j + 23. Calculate the remainder when t(0) is divided by 2.
1
Suppose 0*p + 19 = -5*o - p, -13 = 4*o + 3*p. Let h be (64/12 + o)*9. Calculate the remainder when 88 is divided by 1*(h/1 + 1).
10
What is the remainder when 163 is divided by 495/44 + 9/12?
7
Suppose -o + 1294 = 4*v - 3*o, -3*v = -5*o - 967. Suppose 22*z + v = 26*z. What is the remainder when z is divided by 42?
39
Let r = -244 + 320. What is the remainder when r is divided by 20?
16
Let o = 211 + -201. Suppose 9 = 3*q - 9. Calculate the remainder when (q/(-4) - -2)*58 is divided by o.
9
Let u be -3 + 15 + 0 + -1. Let x = u + -9. Calculate the remainder when 6 is divided by x.
0
Let p(n) be the first derivative of 5*n**2/2 - 30*n - 15. Suppose 4*l - 51 = 1. Calculate the remainder when l is divided by p(7).
3
Suppose -2*j = 8, 4*w - 49*j = -47*j + 196. What is the remainder when 1548 is divided by w?
44
Let h(k) = 3*k - 2*k**3 - 3*k**2 + 11 - 5*k + 3*k**3 + 13*k**2. What is the remainder when h(-10) is divided by 11?
9
Let k = 815 - 749. What is the remainder when 196 is divided by k?
64
Suppose 0 = 2*k - 3*c - 65, -k + c = -0*c - 34. Let v = k