 y(u) = -u**2 - 14*u + 1. Let r be y(-12). Find the common denominator of (2/r)/(81/765) and -125/6.
90
Let h = 1137 + -6805/6. Find the common denominator of 19/6 and h.
6
Let m be 4/12 + 70958/(-12). Let j = -3641 - 2256. Let l = j - m. What is the common denominator of 31/12 and l?
12
Let h(p) = -p + 16. Suppose 2*s = 2, d - 3*d + 4*s = -12. Suppose d*v - 5*v - 24 = 0. Calculate the lowest common multiple of 4 and h(v).
8
Suppose -3*c - 4*z + 6705 = -z, c - 4*z - 2235 = 0. Let i = c - 49241/22. Find the common denominator of -17/16 and i.
176
Suppose -4*s = -14 - 14. Suppose f + 2*d - 12 = 0, -2*d = -f - s*d + 18. Let a = f - 4. What is the least common multiple of 30 and a?
60
Let z = 30 + -5. Let r be (-45)/2*20/z. Calculate the common denominator of -41/6 and ((-104)/r - -2) + 0.
18
Suppose 36*k + 868 = 40*k + 4*s, 0 = -2*s - 4. Calculate the lowest common multiple of k and 6.
438
Suppose -f + 4*i + 11 = i, 3*i + 7 = 2*f. Find the common denominator of (f/6)/((-15)/(-153)) and (2/6)/((-1)/(-13)).
15
Let f = 1167833/96 - 12164. Calculate the common denominator of 83/240 and f.
480
Suppose -2*x = h - 514, 6*x - 3*x - 4*h - 760 = 0. What is the least common multiple of 4 and x?
256
Let p be 168/75 + -2 + -1. Let a = -5460/59 - -284977/2950. Let j = p + a. Calculate the common denominator of 107/14 and j.
70
Let k = 2 - 1. Suppose 4*q - 4*i = 84, 2*i = 4*i + 6. What is the smallest common multiple of q and k?
18
Let v(o) = o**3 - o**2 + 3*o - 4. Suppose -16*t + 917 = 245. Calculate the lowest common multiple of t and v(2).
42
Let w be 15/(-5) + 28/(-2). Let y = w - -9. Let p = y + 12. Calculate the smallest common multiple of 8 and p.
8
Suppose -2*w = -5*w - 6, -3*c + 4*w - 355 = 0. Let a = 337/12 + -49/4. Find the common denominator of 2/6 - c/69 and a.
138
Suppose -5*p + 2*p = -63. Let l = p + -5. Let k(a) = 18*a + 148. Calculate the smallest common multiple of l and k(-8).
16
Let h(g) = -4*g - 15 + 7*g - 6 + 100. Calculate the lowest common multiple of 33 and h(-24).
231
Let n = 1953 + -5452/3. Let c = n - 3169/24. Calculate the common denominator of c and -68/15.
120
Let w = -39463 + 13267. Let b = -838203/32 - w. Calculate the common denominator of b and ((60/100)/(1/145))/8.
32
Let c = 1559/8 - 191. Let h = -1 - -10/23. Calculate the common denominator of h and c.
184
Suppose -4*m + 87 = 11. Let n = m + -8. What is the smallest common multiple of 11 and n?
11
Suppose 6*w - 5*w - 2 = 0. Suppose -40 = -4*b - c, 3*b = -0*b + w*c + 41. What is the least common multiple of 2 and b?
22
Suppose 0 = 4*x + k - 48, -4*k + 19 = 3. What is the least common multiple of 31 and x?
341
Suppose 3*g + 4*g = 14. Let w = g + 18. Calculate the least common multiple of 16 and w.
80
Let q = 4 + 4. Suppose -5*f - s + 432 + 67 = 0, -5*f + 505 = -5*s. Let w = -73 + f. What is the smallest common multiple of w and q?
216
Let k = -24 + 38. What is the lowest common multiple of (-110)/(-7) + 8/28 and k?
112
Let w(h) = -20*h**3 - 18*h**2 - 32*h + 2. What is the least common multiple of 154 and w(-2)?
154
Calculate the common denominator of 83/75 and 1 - (2/18)/(78/(-13)).
1350
Let u(h) = 34*h**3 - 6*h**2 + 9*h - 10. Let s be u(-7). Let i be (0 + 1)*s/10. Let n = i - -1200. What is the common denominator of n and 5/16?
80
Find the common denominator of 316/(-8) + 1 - -1 and (6/72)/((-20)/354).
40
Suppose 16*z - 30 = 18. Calculate the least common multiple of -1 - 2*(-10)/4 and z.
12
Let m(p) be the second derivative of p**3/6 + 3*p**2/2 + 7*p. Calculate the least common multiple of (2 - 0)/((-2)/(-16)) and m(15).
144
Let v = 913985/72 - 12695. What is the common denominator of 119/90 and v?
360
Suppose r + 3*k - 147 = 0, 2*r = 4*r - k - 294. What is the common denominator of 0 + (-3 - (-195)/(-6)) and -3 - r/(-6) - 3?
2
Let s(w) = w**3 + 28*w**2 + w + 35. Calculate the lowest common multiple of s(-28) and 42.
42
What is the common denominator of 8/(1056/(-42))*1/(-4) and 65/56?
616
Find the common denominator of -15*2/((-162)/(-15)) and (-2*37/(-4))/(73/73).
18
Let k be (0 - -136) + (-4)/1. Let i = k + -127. Calculate the smallest common multiple of (-1 + 2 - 0) + 8 and i.
45
Let o be 1940/(-38) - 3/18*0. Let l = o + 17325/304. Find the common denominator of 99/32 and l.
32
Let j(z) = -z**2 - 17*z + 18. Let a be j(-18). Let v be (-11)/(-11) - (404 - a). What is the common denominator of v/(-208) - (-4 - -1) and -69/2?
16
Suppose -3*a + 5*m - 37 = -3, 4*m = -16. Calculate the common denominator of 93/2 and (a/(-648))/((-2)/(-500)).
18
Let q be 2*-1*(-25)/10. What is the common denominator of 58/5 and q/(-135)*-6*-5?
45
Let s = 67 + -53. Suppose -6*f = f - s. Calculate the lowest common multiple of f and 8 + (2 - 2)/(-3).
8
What is the common denominator of (-353)/45 + 6*2/30 and -103/105?
315
Let s(v) = v**3 + 2*v**2 - 9*v + 2. Let w be s(-4). Calculate the common denominator of -59/6 and w*(-4)/(-108) + (-247)/(-306).
102
Suppose 3*m + 4 = -2*o - 8, 4*o - m - 4 = 0. Suppose 0 = 4*n - 30 - 114. Suppose 4*p = -o*p + n. What is the least common multiple of 4 and p?
36
Calculate the least common multiple of -4 + ((-4740)/(-40))/(9/12) and 44.
308
Let g be 735591/(-132)*2 - (-1 + 1). Let w = -11149 - g. What is the common denominator of w and -63/62?
682
Find the common denominator of -91/135 and (2*(-100)/(-70))/((-6)/14).
135
Let g(v) = v**3 + 5*v**2 - 2*v - 3. Let w be g(-5). Let s(o) = -o**2 + 15*o - 28. Let n be s(12). What is the common denominator of (n - 55)/(1*w) and 43/7?
7
Let i = 6 + 1. Calculate the lowest common multiple of i and ((-22 - (-24)/6)/(-1))/2.
63
Let i(c) = -c**2 + c + 6. Suppose 2*m - 20 = -4*u, -14*m + 17*m = 4*u + 20. What is the least common multiple of m and i(0)?
24
Let c = -15695/14 - -7880/7. Calculate the common denominator of c and -101/318.
2226
Let j = 120349/70 + -1720. Calculate the common denominator of j and -13/4.
140
Let v be (8/(-12) + 1)*0. Suppose 3*c - 6 = 3*r, 10 + v = r + 3*c. Let d = -18 - -19. What is the lowest common multiple of d and r?
1
Let x = -2009862879/20 - -100522035. Let o = x - 28885. Find the common denominator of o and 7/46.
460
Suppose -g + 33 - 4 = 0. Find the common denominator of 75/14 and (g/20)/((-98)/(-42)).
140
Let f(u) = -39*u - 5. Let w be f(7). Let t be 0/1 + (-10550)/40. Let v = w - t. Calculate the common denominator of 95/6 and v.
12
Suppose 20 = i - 5*n, -i + 4*i + n = -4. Let t = 11 + i. Calculate the lowest common multiple of 7 and t.
77
Let s = 50/19 + -1441/266. Let u = 257/7 - s. What is the common denominator of (-124)/33 + 1/(-3) and u?
22
What is the common denominator of (72/(-64))/(14/(-24)) and 77/8?
56
Let y = -342675 + 3772356/11. Let k = y - 263. Calculate the common denominator of 5/(-25)*(-121)/(-2) and k.
110
Let b = 7475/9 - 411308/495. What is the common denominator of b and 8/195?
2145
Let f(z) be the third derivative of z**4/24 + 17*z**3/6 + 6*z**2. Let j be f(-5). Suppose -c - j = -3*c. Calculate the smallest common multiple of c and 11.
66
Let y = 37 + -33. Suppose f + y - 14 = 0. What is the least common multiple of f and 1?
10
Suppose -2*c + 7*c = 40. Calculate the common denominator of 33/c + (2 - 1) and -87/64.
64
Let b(q) = q**2 + q + 1. Suppose -4*k - 16 = -2*a, 5*k - 19 = 8*k - 5*a. What is the smallest common multiple of b(k) and 5?
35
Let v be (-16)/5 + 4/20. Let g(a) = -4*a - 3. Suppose -6 = o - 3*o. Calculate the lowest common multiple of o and g(v).
9
Suppose v - 180 = -3*v. Let x = -94 - -98. What is the least common multiple of x and v?
180
Let c be (45/(-6))/((5/(-146))/(-5)). Let a be (6 + -3 + -2)*0. Calculate the common denominator of 119/6 and (c/10)/(a + -12).
24
Suppose -14*b + 1785 = 3*b. Calculate the least common multiple of b and 15.
105
Let d be (-3)/(3/(-1) + 2). Suppose 24 = m - 5*y - 0, 5*m - d*y = 120. What is the least common multiple of (-1)/(1*(-3)/m) and 2?
8
Let g = -260 + -505. Let f = -4699/6 - g. Find the common denominator of f and 65/9.
18
Let a = 663043/24 - 27621. What is the common denominator of -35/12 and a?
24
Suppose -10*u = -6*u - 480. What is the lowest common multiple of u and 96?
480
Let u(l) = -l**3 - 11*l**2 - 7*l + 17. Let g be u(-10). Let j(f) = -f**2 - 18*f - 45. Calculate the lowest common multiple of 44 and