 4*z = 2*q + 8, -q + 2 = 2*z - 2. Calculate the lowest common multiple of g and z.
10
Suppose -23 = q + 47. Find the common denominator of 13/11 and (-6)/21 - 279/q.
110
Let r = -12/65 - -2559/130. Let z be ((-22555)/10)/((-9)/(-13)). Let y = z + 3253. Find the common denominator of r and y.
18
Let q(l) = l**3 + 7*l**2 + 5*l - 2. Let o be q(-6). Let d be (o/12)/(1/(-3)). Let p = 11 - d. What is the smallest common multiple of p and 16?
48
Suppose 2*o + 21 = 57. What is the least common multiple of o and 10?
90
What is the common denominator of -41/16 and -3 + 2/((-36)/71)?
144
Suppose 4*k = 4*v + 8, 0*k - 4 = -2*k - 4*v. Suppose -5*d + 9 = -1. Suppose -q = -k*q + d. What is the least common multiple of q and 7?
14
Suppose -89 = -3*k - 23. Let u = k - 2. Suppose -z + 8 = -4. What is the lowest common multiple of z and u?
60
Suppose -7*p + 2*t = -3*p - 106, 0 = 5*p - t - 128. Find the common denominator of (-1)/3 - 295/(-12) and (12/10)/((-1)/p).
4
Let p = 39 - 35. Calculate the lowest common multiple of 2 and p.
4
Suppose -4*u + 8 = j - 9*u, 3*u = -4*j + 9. What is the common denominator of 97/10 and 261/30 + (j - 1)?
10
Let k(v) = 7*v - 10. Suppose 0 = 5*u - 3*u - 4*o - 2, 4*o + 56 = -4*u. Let j be k(u). What is the common denominator of -26/7 and -1 + -1 + j/(-2)?
14
Suppose 12*d = 11*d - 36. What is the common denominator of (-137)/(-24) + 2/(-6) and (-6)/9 - 16/d?
72
Suppose 0 = -5*r + 135 + 65. What is the smallest common multiple of 10 and r?
40
Let t be ((-6)/(-21))/(22/502). Let v be 0 + -3 - (-1860)/616. Let h = t - v. Calculate the common denominator of 63/2 and h.
2
Let p(l) = 4*l**3 + 2*l**2 - 1. Let n be p(-1). Let v = n - -2. Let a = v + 3. Calculate the lowest common multiple of 3 and a.
6
Calculate the common denominator of (-518)/(-189) + 10/(-2) and -23/9.
27
Let x(p) = 4*p**2 + 10*p + 14. Suppose 2*m - 4*y = 0, -2*m + 5*y = 1 + 4. Calculate the lowest common multiple of x(-2) and m.
10
Suppose -5*b = -0*b - 5. Let l be 3/(-18) - 11/6. What is the common denominator of -15/2 and b*(l + (-86)/6)?
6
Let y = -2/13627 - -149977/545080. Find the common denominator of y and 29/20.
40
Let k = 5 - 8. Let c(p) = -p - 3. Let t be c(k). What is the lowest common multiple of 2 - (t - 15) - 1 and 4?
16
Let w = 539/2 - 4819/18. Find the common denominator of -74/3 and w.
9
What is the common denominator of 61/6 and (-2)/32*(-464)/20?
60
Let d(y) = -10*y**2. Let k be d(-1). Let n be 106/5 + 2/k. Let s = n + -15. What is the lowest common multiple of 1 and s?
6
Let v be (41/(-60))/((-5)/35). Let s = -1347011/281580 + v. Let g = s - 272184/23465. Find the common denominator of 22/3 and g.
15
What is the common denominator of -11/24 and (4/(-30))/((-84)/(-455))?
72
Let f = -2/69 + -5/92. Let k = f + -271/60. Calculate the common denominator of k and 113/10.
10
Let h(y) = 6*y - 4*y + 1 - 2 - 4*y. Calculate the least common multiple of h(-1) and 9.
9
Let r = -9/358 + -9026/537. What is the common denominator of (-2045)/300 + 2/5 and r?
12
Let z = 14 - 10. Suppose 4*b - 9*b + 16 = z*r, -3*b = 0. Calculate the least common multiple of (1 + r)*12/15 and 12.
12
Suppose 16 = 4*m, 3*v = -m + 31 + 21. What is the lowest common multiple of v and 4?
16
Let h be (4 - (4 + -2)) + 0. Suppose 4*n - 21 = -3*n. What is the smallest common multiple of n and (3/h + -1)*2?
3
Calculate the common denominator of (-282)/4*(4 + (-366)/90) and 38/39.
390
Let y be 0 - (2 + -5 - -2). Calculate the common denominator of (-2 + y)/((-24)/(-106)) and (-21)/22 - 0 - 2.
132
Suppose 0 = -12*g - 82 + 346. Let t = -10 - -22. Calculate the lowest common multiple of g and t.
132
Suppose 0 = u + 1 - 5. Let o be -1*1 - (u - -84). Calculate the common denominator of -1 + (-3)/((-30)/o) and 33.
10
Suppose -3*r + r + 199 = -5*u, -4*u + 2*r - 160 = 0. What is the common denominator of 1/3*u/(-22) and 13/8?
88
Let s = 0 + 0. Suppose 0 = 2*t - 5 + 1. Let u = s + t. Calculate the least common multiple of 3 and u.
6
Let p(h) be the first derivative of -4*h**2 + 0*h**2 - 6*h + 3 + 5*h**2. What is the least common multiple of p(6) and 12?
12
Calculate the common denominator of (1080/16)/(6*1) and -5/16.
16
Let a = -35 - -244. Let x = a + -1480/7. Calculate the common denominator of x and -8/3.
21
Let j = -298 + 202. What is the common denominator of (436/j)/(9/(-12)) and -111/10?
90
Let f = 15451/140 - 768/7. Suppose b = -21 - 13. Find the common denominator of (b/(-48))/((-2)/3) and f.
80
Let w(j) = 2 - j**2 - 2*j + 11*j**2 + 0*j**2 + 4. Let q be w(8). Find the common denominator of q/24*(-12)/(-50) and -13/4.
20
What is the common denominator of -76/3 and 2/24*(8 - -121)?
12
Let x = 57 + -36. Calculate the lowest common multiple of x and 48.
336
Suppose -w + 4*u - 5*u - 11 = 0, 3*w + u = -23. Find the common denominator of (-1)/w*438/4 and -47/18.
36
Let h be 18141/2*2/(-24). Let k = 761 + h. Let j = -14307/1510 + -34/151. What is the common denominator of j and k?
40
Let v = -6385 - -50987/8. Find the common denominator of -19/2 and v.
8
Suppose 0 = 3*m - 3*i + 276, -m + 0*m - 108 = 3*i. Let b be (30/(-296))/((-6)/m). Let k = -2599/74 - b. Find the common denominator of -7/11 and k.
22
Let j = 10 - 6. Suppose -5*u = -j*u - 22. What is the lowest common multiple of 12 and u?
132
Let m = -1 - -20. Suppose 2*f = g - 21, 0 = 2*g + 3*f - m - 16. Let s = g + -10. What is the lowest common multiple of 6 and s?
18
Suppose -3*g - 3 = -6. Let j(c) = c. Let b(f) = -2*f - 1. Let v(z) = 2*b(z) + 3*j(z). Calculate the lowest common multiple of g and v(-6).
4
Let m(b) = 5*b. Let w(h) = -h. Suppose 3*p - 14 - 3 = 5*a, -3 = -a - p. Let c be w(a). What is the lowest common multiple of 10 and m(c)?
10
Suppose -4*i + 2*i = 0. Let b(n) = n**2 - n + 4. Let f be b(i). Suppose 5*t = -3*r - r + 23, -5 = t - f*r. Calculate the smallest common multiple of t and 8.
24
Let z = 36/427 - 23951/76433. What is the common denominator of z and 55/3?
537
Let y(a) = a**2 - 2*a + 1. Let r = 5 + -2. Calculate the lowest common multiple of 7 and y(r).
28
Let f(x) be the third derivative of x**4/24 - x**3/6 + x**2. Calculate the lowest common multiple of 9 and f(10).
9
Let k(o) = -o**2 - 10*o - 6. Find the common denominator of -53/8 and k(-5).
8
Let s be ((-12)/(-8))/((-66)/43490). Let n = 968 + -1957. Let l = s - n. What is the common denominator of l and -17/4?
44
Suppose -4*r - r + 46 = 2*x, 0 = -r. What is the common denominator of x and 25/8?
8
What is the common denominator of 47/8 and 77/(-220) - 1*(0 - 1)?
40
Suppose 0 = -2*f + 40 - 12. Calculate the least common multiple of f - -3*6/9 and 3.
48
Suppose -4*o - o - 4*j = -108, 2*o - j = 51. Calculate the lowest common multiple of o and 27.
216
Let c = 0 - 3. Let b = 11047/9 + -1232. Find the common denominator of b and 4/6 + 70/c.
9
Let x be 17/4 - 2/8. Suppose 0 = -0*j - x*j. Suppose w = 2*w - 5*a - 11, -5*a = j. What is the lowest common multiple of w and 5?
55
Calculate the common denominator of -35/9 and 74*((-115)/(-350) + (-3)/7).
45
Let y = -46121/240 - -3035/16. What is the common denominator of y and 35/12?
60
Suppose 4*n - 12 = n. Suppose -7*y + n = -5*y. Suppose 3*j - 12 = j. Calculate the lowest common multiple of j and y.
6
Let k = 6 + -4. Suppose 0 = -f + k*f - 2. Suppose -4*b = 5*d - 48, 26 = f*b + d + 2*d. Calculate the smallest common multiple of b and 6.
42
Suppose 0 = m + m - 10. Let l = 9 - m. Let o(k) = -k**3 + 6*k**2 - 6*k + 4. What is the lowest common multiple of o(l) and 4?
12
Suppose 2 = 5*t - 8. Suppose 14 = w + t. What is the smallest common multiple of w and (-3)/((1 - 0)/(-8))?
24
Let f = 27953/1180 + 18/295. Suppose -3*a - 2*a + 35 = 0. Calculate the common denominator of (833/16)/a - 2 and f.
16
Suppose 17 = -12*r + 65. Calculate the least common multiple of r and 23.
92
Let n = 167/15 - 23/15. Find the common denominator of 1 - (-27)/8*1 and n.
40
Let i be (0 + 2)/((-6)/30). Let n(l) = l**2 - 3*l - 4. Calculate the least common multiple of n(6) and 2/i + (-122)/(-10).
84
Calculate the smallest common multiple of 3 and 18684/180 - 8/10.
309
Let d be ((-6)/(-33))/(6/(-183)). Let k = -703/99 - d. Calculate the common denominator of k and 3/8.
72
Suppose -2*x = 5*l + 1, -4*x - 4*l = -3 - 13. What is the least common multiple of 42 and x?
4