ppose 4*g + g + 4*b - 55 = 0, -25 = -5*b. Calculate the remainder when (2/(-3))/((-16)/648) is divided by g.
6
Suppose 59 = x - 40. What is the remainder when x is divided by 20?
19
Let z be 808/32 - (-3)/(-12). Suppose 3*b - z = 44. What is the remainder when 67 is divided by b?
21
Let m = 47 - 44. Calculate the remainder when 123 is divided by (-1 - (m - 2))*(-25)/2.
23
Let t = -76 + 84. Suppose -76 = -3*d - 2*i, -d + 3*i + 73 = 3*d. Calculate the remainder when d is divided by t.
6
Let l = -485 + 495. What is the remainder when 559 is divided by l?
9
Suppose -i + n + 11 = 0, -19*n - 100 = -5*i - 23*n. Suppose -5*f = -238 - 22. Calculate the remainder when f is divided by i.
4
Suppose -2*v - 62*b + 61*b + 60 = 0, -v + b + 24 = 0. Calculate the remainder when v is divided by 12.
4
What is the remainder when 98 is divided by (-2)/20 + 7/(-490)*-1057?
8
Let b(y) = -2*y**2 + 17*y - 13. Let r be b(7). Let a = 51 + r. Calculate the remainder when a is divided by 20.
19
Suppose -5*y + 39*a - 41*a = -155, 3*y = 2*a + 109. Calculate the remainder when 150 is divided by y.
18
Let x(t) = 22*t**3 + 2*t**2 - t. Suppose 106 - 38 = m. Calculate the remainder when m is divided by x(1).
22
Let s = 141 - -92. Calculate the remainder when s is divided by 24.
17
Let y = -37 + 34. Let z(p) = 9*p + 1. Let n(i) = 4*i. Let f(u) = -10*n(u) + 4*z(u). What is the remainder when 63 is divided by f(y)?
15
Let y(r) = r. Let j(s) = 2*s - 1. Let x(f) = j(f) - y(f). Let d be x(-5). Calculate the remainder when 3*(-122)/d + 0 is divided by 21.
19
Let c be ((-237)/9 - -3)*(-3 + 0). What is the remainder when ((-4)/(-14) - 230/c) + 94 is divided by 23?
22
Let q(p) = 143*p + 1 - 76*p + 13*p**2 - 68*p. Calculate the remainder when 37 is divided by q(1).
11
Let x be 355/1 + (-16)/4. Let k = x + -116. Suppose 6*g - 2*g = 5*v + k, -2*g - 2*v = -122. What is the remainder when g is divided by 16?
12
Suppose -22 = -153*g + 151*g. Suppose -g*f + 926 - 277 = 0. What is the remainder when f is divided by 31?
28
Let m = -1747 + 1760. Calculate the remainder when 372 is divided by m.
8
Let y be (-30)/6 + 680 + 1. Suppose -2*c = 11*c - y. Calculate the remainder when c is divided by 11.
8
Let x(s) = s**3 + 8*s**2 + 2*s - 23. What is the remainder when 89 is divided by x(-5)?
5
Let c(g) = g**2 - 14*g - 234. Suppose 0 = 2*t + 6 - 42. Calculate the remainder when t is divided by c(24).
0
Suppose 0 = -112*d + 109*d + 225. What is the remainder when d is divided by 26?
23
Let r be 3 - (3 - 1 - -1). Suppose r = 18*u - 14*u - 340. Suppose -5*w = 3*l - 141, -2*w - l - 28 + u = 0. What is the remainder when w is divided by 8?
6
Suppose 60 = 9*j - 3*j. Let l(f) = f**2 - 4*f + 8. Calculate the remainder when l(j) is divided by 14.
12
Suppose 10 = 3*q - x - 37, x + 17 = q. What is the remainder when 1/3 - (-334)/6 is divided by q?
11
Suppose -752 = -h - 169. What is the remainder when h is divided by 117?
115
Suppose -4*h = 3*c - 29, -5*h + 26 + 8 = 3*c. Suppose 45 = c*x - 15. Calculate the remainder when 59 is divided by x.
19
Let d(z) = z + 11. Let u be d(-8). Suppose 0 = -5*r + 20 - 0. What is the remainder when ((-2)/u)/(4/(-54)) is divided by r?
1
Suppose -o - 82 = -5*b - 12, 4*b + 352 = -4*o. Calculate the remainder when (-9452)/o + 2/(-10) is divided by 30.
21
What is the remainder when 84 is divided by (-55)/22*(297/(-15) - -3)?
0
Let f(x) = -x**3 + 3*x**2 + 4. Let h be f(3). Suppose -30 = -l - h*l. Suppose -3 = 3*u, -3*d + 11 = -5*u - 6. What is the remainder when l is divided by d?
2
Let t(j) = -2*j**3 - 14*j**2 + 14*j + 11. Let i(q) = -q**3 - 13*q**2 + 15*q + 11. Let u(z) = 3*i(z) - 2*t(z). What is the remainder when 4 is divided by u(9)?
0
Let f = 122 + -72. Suppose -2*n + 3*g + 118 = 3*n, 2*n - 5*g = 32. Suppose 52 = 4*s - 5*y, -2*s + y = -4*s + n. What is the remainder when f is divided by s?
11
Let t = -10 - -43. Suppose -2*q - 1 = -3*b, -5*b + q + 0 = -11. Let h = b + t. Calculate the remainder when h is divided by 19.
17
Suppose -5*x - 4*l + 283 = -0*l, 2*x - 133 = 5*l. What is the remainder when 128 is divided by x?
10
Suppose -495 = -43*o + 236. What is the remainder when o is divided by 2?
1
Suppose -2*d + 59 = 5*w, -3*d + 2*w + 51 = -47. Let i(v) = v**2 - 9*v + 7. What is the remainder when d is divided by i(10)?
15
Suppose 10*z - 1467 = -487. Calculate the remainder when z is divided by 13.
7
What is the remainder when 551 is divided by (-1)/4*(-87 + -5 + 0)?
22
Suppose 3*f - w = 54 + 521, -5*f + w + 955 = 0. What is the remainder when f is divided by 48?
46
Let t = 28 + -28. Suppose -34 = -s - 3*h, t = -4*s - 0*h - 2*h + 96. What is the remainder when 108 is divided by s?
20
Suppose -52 - 56 = -6*s. Let g be 1 + (-3 - -10) + -3. What is the remainder when s is divided by 10 + (3 - g) - 1?
4
Let o = 39 + -8. Suppose 3*w + 2*z + 2*z - o = 0, 0 = 5*w - 5*z - 40. Suppose 0 = 2*y - 6*y + 20. What is the remainder when w is divided by y?
4
Let o(x) = 3*x**3 + 2*x**2 - 5*x + 7. Calculate the remainder when 816 is divided by o(3).
88
Let i(b) = 3*b**2 + 2*b - 6. Let k(m) = 4*m**2 - m + 2. Let j be k(1). Calculate the remainder when i(j) is divided by 20.
19
Let g = -9 + 57. Suppose 0 = 5*v - 2 - g. What is the remainder when 18/30 - (-214)/v is divided by 6?
4
Let l(a) be the second derivative of -a**5/20 - a**4/6 - 2*a**3/3 - 3*a**2/2 + 9*a. Calculate the remainder when 88 is divided by l(-3).
16
Let k = 2112 + -1929. Calculate the remainder when k is divided by 47.
42
Let v = -6 - -25. Calculate the remainder when 83 is divided by v.
7
Suppose -5*c - 22 = -7*c. Let g(o) = -3*o + 38. Calculate the remainder when 23 is divided by g(c).
3
Let w(n) = -44*n - 4. Let h be w(-3). Suppose -h + 28 = -4*l. Let m(p) = p**2 - 2*p + 1. Calculate the remainder when m(8) is divided by l.
24
Let k = 27 - 183. Let f = 255 + k. What is the remainder when f is divided by 25?
24
Suppose 2*q + 68 = -106. Let c = q + 103. Calculate the remainder when 47 is divided by c.
15
Suppose 2*p = 24*p - 814. Suppose 0 = -v - 2*w + 143, -197 = -2*v + 5*w + 98. What is the remainder when v is divided by p?
34
Suppose 0 = 16*o - 383 - 369. Calculate the remainder when 90 is divided by o.
43
Let j = -28 - -29. Calculate the remainder when 2 + (1/j - -11) is divided by 4/(-5)*(-20)/2.
6
Let z = 36 + -21. What is the remainder when 44 is divided by z?
14
Suppose -1883 = -7*a + 3514. Calculate the remainder when a is divided by 86.
83
Suppose b - 4*h - h = 263, -4*h = b - 245. Let n = b - 150. What is the remainder when n is divided by 35?
33
Let m(j) = -j**2 + 4*j + 2. Let b be m(3). Suppose 4*v + b*n = 1, 3*v + v = 2*n + 22. Let o(r) = -r + 16. What is the remainder when 21 is divided by o(v)?
9
Let q(v) = 2*v + 94. Let s be q(7). Suppose -2 = -y + 1. Suppose -s = -y*k - k. Calculate the remainder when k is divided by 14.
13
Suppose 5*t + 0*r - 1602 = 4*r, 4*t - 1287 = 5*r. Calculate the remainder when t is divided by 117.
84
Let m be (2/(-8))/(4/(-48)). Let t(f) be the first derivative of f**3/3 - 3*f - 1. Calculate the remainder when 11 is divided by t(m).
5
Let g(p) = p**2 + p - 2. Suppose -t - 2*t = -6. Let n be g(t). Suppose -5*x - 3*f + 13 = 0, 7 = 5*x + f - n*f. Calculate the remainder when 5 is divided by x.
1
Calculate the remainder when (15 + -13)/(4/110) is divided by 14.
13
Let y(w) = w**2 - 10*w + 30. What is the remainder when 54 is divided by y(2)?
12
Calculate the remainder when 117 is divided by (-8)/((-6)/(-60)*-5).
5
Suppose p + 28 = 5*w, w - 2*w = 3*p + 4. Let n(g) = -g**2 - 9*g - 4. Let z be 18/(-4)*(-8)/(-6). What is the remainder when n(z) is divided by w?
4
Suppose -p + 480 = 4*p. Calculate the remainder when 184 is divided by p.
88
Let t be (-2368)/(-36) - 4/(-18). Suppose 2 = -2*d + t. Let c = -104 - -230. What is the remainder when c is divided by d?
30
Suppose 2*w - 3*w - a + 8 = 0, 46 = 5*w - a. What is the remainder when 31 is divided by 3/(0 + 3/w) - 0?
4
Suppose -3*m - r + 4*r + 36 = 0, -m - 2*r + 9 = 0. What is the remainder when m is divided by 8?
3
Let j(u) = 3*u**3 + u**2 - 20*u + 48. What is the remainder when j(4) is divided by 59?
58
Calculate the remainder when 58 is divided by ((-2)/(-8))/(5/180).
4
Let d(k) = -35*k - 7. Let t = -14 + 12. Let q = -37 - -53. What is the remain