Let d(o) = -8793*o**3 - 11*o + 12. Let m be d(1). Let y = m + 70239/8. Find the common denominator of y and 11/38.
152
Let v be 10/16*55157/38. Let x = 906 - v. Calculate the common denominator of -65/2 and x.
16
Let y = 41 - 38. Suppose -160 = -y*m + 2*m. Find the common denominator of 11/18 and (1 + (-535)/3)*10/m.
36
Let u(s) = -s**2 - 30*s - 80. Let d be u(-27). Find the common denominator of d/(-8) - 2870/336 and -97/6.
6
Suppose -5*u - 50 = -b, 3*b = -2*u - u + 114. Let f = 1167 + -1147. What is the least common multiple of f and b?
40
Let w = 1030 + -843. Suppose -l + w = 184. What is the smallest common multiple of l and 72?
72
Let k = -202 + 206. Suppose 47 = 3*y - k*x, 3*y + 2*x = 12 + 5. Calculate the smallest common multiple of 77 and y.
693
Suppose -6636 - 569 = -167*h + 6322. Calculate the least common multiple of h and 135.
405
Let o = -1029 + 1032. Let a(h) be the third derivative of h**5/60 - h**4/4 - h**3 + 2*h**2. Calculate the smallest common multiple of o and a(8).
30
Find the common denominator of 49/16 and (-5 - (-602)/(-21))*9/222.
592
Suppose -a + 120 = q - 737, 5*q = 2*a - 1749. What is the least common multiple of a and 4?
1724
Let w be (16/(-6))/4 - 572/(-66). Suppose -w*n - 139 - 21 = 0. Find the common denominator of -71/16 and (244/(-80) - -3)/(24/n).
48
What is the common denominator of 36/55 and (-1 - 5/280*-52)*(-146)/230?
17710
Let a = -78 + 124. Let l = a - 471/11. Calculate the common denominator of ((-2)/8)/((-30)/(-885)) and l.
88
Let c(g) = g**2 - 66*g - 40. Calculate the least common multiple of c(70) and 96.
480
Let l = -582 - -827. Suppose l = -4*a + 325. What is the least common multiple of a and 16?
80
Calculate the common denominator of 47/360 and 86/45 + (282/27)/47.
360
Find the common denominator of 9/14 and (2/(-12))/((10 - 4466/(-1111)) + -13).
4326
Let n = 103950 - 103936. Let l = 15 + -7. What is the lowest common multiple of l and n?
56
Suppose -5*l - 5 - 5 = 0. Find the common denominator of 37/16 and -4 + (-1 - l) + 1947/220.
80
Let q(j) = 2*j**2 + 6*j - 100. Suppose 4*p = 2*p + 50. Let t = p - 20. Calculate the lowest common multiple of t and q(7).
40
Calculate the smallest common multiple of (-8108)/(-10) + 33/(-10 - -175) and 41.
33251
Suppose 3*m - 11*y = -15*y + 1680, -3 = y. Calculate the lowest common multiple of 5 and m.
2820
Suppose -39 = 2*p - o - 8, 0 = 2*o + 10. What is the least common multiple of 18 and (((-90)/10)/p)/(1/6)?
18
Let n = -1879/1680 - 191/105. Find the common denominator of n and 3 + -4 - (-278)/88.
176
What is the common denominator of -1/160 and (6 + -21)/(209 + -3)?
16480
Let f = 9413 - 9361. What is the lowest common multiple of f and 429?
1716
Let v = 919080622/288242559 + -138/153239. Let t = v + -1/171. What is the common denominator of t and (-10)/(-30)*(-41)/(-3)?
99
Let d(r) = r**3 + 4*r**2 + 3*r - 14. Let b be d(-5). Let f = b - -66. Suppose 7*h - 63 = 4*h. What is the lowest common multiple of f and h?
84
Let p = -40429/348 - -3375/29. What is the common denominator of p and 53/1479?
5916
Let g(u) = -u**3 - 11*u**2 + u - 24. Let r(y) = y**3 - 4*y**2 - 9*y + 8. Let m be r(5). Let w be g(m). Calculate the common denominator of 134/w*2 - 1 and 14/3.
27
Suppose -3*o - k - 229 = 3*k, o - 2*k = -83. Let s = 161 - 70. Let w = o + s. What is the least common multiple of 2 and w?
12
Let r(z) = -17*z + 72. Let l be r(8). Let d = 112 + l. Find the common denominator of (((-204)/8)/17)/(d/(-53)) and -41/8.
32
Let m = 2903423 + -34815517/12. Let z = m - 2125. Calculate the common denominator of (1/3)/(5 + 2193/(-441)) and z.
12
Suppose -4*f + 2276 = 4*c, 5*f + f - 1722 = -3*c. Calculate the lowest common multiple of c and 3.
564
Suppose 3313 = -7*t - 7516. Calculate the common denominator of t/195 + -3 + 7 and (-11)/(-3) - 12/6.
15
Let d = 44048311/360 + -122356. Calculate the common denominator of d and -113/72.
360
What is the common denominator of (7/(-15))/(1242/315 + -4) and 2/4 + 1045/(-532)?
84
Let s(z) = 2*z**2 - 5*z - 58. Suppose -3*m - 3*t + 5 + 4 = 0, -2*t = 5*m - 27. Suppose -3*k = -22 + 7. Calculate the least common multiple of s(m) and k.
5
Calculate the smallest common multiple of (16 + -19)/(10/(-4720)) and 1770.
7080
Let g be (-4)/6 + (-3975)/(-5976). Let p = -31537/1992 + g. Find the common denominator of p and 122010/(-7595) - -4*4.
186
Suppose 3*v + 32 = 11*v. Let s(h) = 8*h**3 - 4*h**2 - 12*h + 32. What is the least common multiple of 10 and s(v)?
2160
Let u be (-2)/3 - 2/(-3). Calculate the least common multiple of 9/15*(-2)/(-3)*(-19)/((-836)/330) and (u + 1 + -2)*-7.
21
What is the common denominator of 61/312 and ((-1020)/(-221) - 14) + 10?
312
Let n(w) = w + 2. Let k(f) = -15*f**2 + 7*f + 16. Let b(z) = -k(z) + 6*n(z). Calculate the lowest common multiple of b(3) and 22.
1408
Let q = -39457/12 + 3296. Let r = 1340097/49210 + 6/1295. Let n = r + -52/19. Calculate the common denominator of q and n.
12
Let n = 9818 + -9014. What is the smallest common multiple of 1340 and n?
4020
Suppose 2*t = 5*f + 310, -3*f + 7*f - 442 = -3*t. Calculate the smallest common multiple of -3 + t/54 - (-688)/18 and 24.
456
Let y = 405 - 396. Calculate the common denominator of 59/15 and 5 + 2134/y*(-12)/592.
1110
Suppose -12*u + 5*u + 868 = 0. Suppose -d + h + 59 = 0, -3*h - 108 - u = -4*d. Calculate the least common multiple of 11 and d.
55
Suppose -3*i - 53*i = 330792. What is the common denominator of 4/5 + 2 + i/1890 and -55/126?
126
Let c = 1/254 + 2767/6858. Suppose -584 = -3*l - 524. Find the common denominator of l/(-110) + (-148)/33 and c.
27
Let l = -8 - -35. Suppose 205*n + 210 = 5*k + 204*n, -5*k = 3*n - 210. Calculate the least common multiple of l and k.
378
Let b = -130 + 133. Suppose 0 = 5*x + 8*r - b*r - 20, x - 3*r + 4 = 0. Calculate the least common multiple of 16 and x.
16
Let w(a) = 43*a - 8. Suppose 5*j + 7 + 11 = 3*i, 2*i = -2*j - 4. Let m be w(j). Let t = m - -145. Calculate the smallest common multiple of t and 206.
824
Let p = -292 - -261. Let c = -25 - p. What is the lowest common multiple of 27 and c?
54
Let f = -11550/23 - -1005724/2001. Let p = -159/145 - f. Find the common denominator of -2/55 and p.
165
Calculate the least common multiple of (-4)/(52/(-12259)) - 8 and 850.
9350
Let v(x) = 2*x**2 - 41*x + 28. Let j be v(14). What is the lowest common multiple of 66 and j*((-36)/(-48))/(3/(-2))?
462
Let b(y) = 10*y**2 + 22*y + 11. Let d be b(11). Suppose 0 = -5*w + 3*r + d, -3*w + 1417 = 5*r + 512. Calculate the lowest common multiple of 5 and w.
295
Let r = -9820 + 11745. What is the smallest common multiple of 154 and r?
3850
Let r be 4/36*3 - (-28)/(-3). Let m = r - -13. Suppose 3*s = -s + 8. Calculate the least common multiple of m and s.
4
What is the lowest common multiple of 30208/531 - (-1 + (-8)/(-9)) and (-4)/(-24)*272 + 3/(-9)?
855
What is the least common multiple of -3 - -1*(-360)/(-16)*46/3 and 456?
1368
Let z(v) = 42*v - 143. Let s be z(4). Suppose s = 5*a, 11*o + a = 6*o + 65. Calculate the lowest common multiple of o and 6.
12
Let q(a) = 6*a**2 - 11*a**2 - 26 + a**3 - 26*a + 37*a. What is the smallest common multiple of q(4) and 98?
98
Let z = 3487/252 + -179/28. Let l be (-5116)/18 + (-6)/(-27). Find the common denominator of l/(-378) + (-10)/(-35) and z.
27
Suppose -4*p - 45 = -5*x, x - 7*p = 3*x + 25. Suppose 3*n = a + 113, 5*n - 71 = 3*n + x*a. Calculate the smallest common multiple of n and 156.
2964
Let w = 18411 - 14803. What is the lowest common multiple of w and 4510?
18040
Let c = -245 - -261. Let t(g) be the first derivative of 3*g**2/2 - 3*g - 8. Calculate the lowest common multiple of t(4) and c.
144
Suppose 4*n - 40 = -n. What is the common denominator of ((-12880)/210 - -37)*(14/12)/(-7) and n?
18
Calculate the common denominator of -149/72 and 2248/(-10116) - ((-1252)/1011 + 1).
24264
Calculate the common denominator of -139/276 and (25986/(-2952) - -7) + 7/(-21) + 2.
11316
Suppose 13*q = 7*q + 55 + 1817. Calculate the lowest common multiple of 468 and q.
936
Let k = 482531/106248 + 1/8854. Let w = 2/1311 + -103577/5244. Find the common denominator of w and k.
24
Suppose n - 3*n = -34. Suppose 14*t = n + 11. Calculate the common denominator of 31/22 and -2 + 300/(-64) + 4/t.
176
Let z = 35466