 be c(-5). Let o be r*((-690)/(-175))/1. Let f = -1552 - o. Calculate the common denominator of f and -39/11.
77
Let c = 1661609/25058040 + -3/51880. Find the common denominator of c and -29/345.
2415
Let q = 2386/69 + -389491/11270. What is the common denominator of q and 73/2205?
4410
Suppose 843 = 26*u + 25*u + 639. Calculate the smallest common multiple of 1504 and u.
1504
Suppose -2*t = 3*t - 10. Suppose 4*w + 329 = 5*w + 4*i, 5*i = -3*w + 980. Let n = w - 311. Calculate the least common multiple of t and n.
14
What is the common denominator of 51/844 and (-8)/18*-15*(-629)/17680?
32916
Suppose -2*s - 3*q + 33 = 0, 0 = -9*q + 25 + 2. What is the lowest common multiple of (-601)/(-5) - 3/15 and s?
120
Let s = -433 - -437. Suppose s*j = h - 121, h + 3*j = 4*h - 327. Calculate the least common multiple of 63 and h.
315
Let x(b) = b**3 + 2*b**2 + 2*b + 335. Let f be x(0). Let y = f - 324. What is the smallest common multiple of y and 12?
132
Suppose 2936 + 17090 = 61*b - 104. What is the lowest common multiple of 495 and b?
990
Let f = 304669079/1050 + -290161. What is the common denominator of -43/840 and f?
4200
Let y = 29 + -23. Let v(l) = 12*l - 112. Let x(g) = 4*g - 37. Let s(p) = 5*v(p) - 16*x(p). Calculate the lowest common multiple of 4 and s(y).
8
Let q be -8*2/(-4) - 3. Let w be (-9)/(-27)*(2 + q)/(-1). Find the common denominator of -133/6 and w - ((-1)/4 - (-180)/64).
48
Let l = -127/58 - -602/957. Calculate the common denominator of l and 67/21.
462
What is the common denominator of ((-285)/175)/(1*(-30)/20) and -79/2890?
20230
Suppose -43*h + 14153 + 20763 = 0. Let o = h + -764. What is the least common multiple of 12 and o?
48
Let c = -5047001140/837 + 6029868. Let a = c + 4/279. Find the common denominator of a and 58/99.
297
Let g(u) = -u**2 - 12*u + 45. Let h be g(-17). Calculate the least common multiple of 16 and (h/50)/((-62)/30 + 2).
48
Let g(k) = 249*k**2 + 3*k + 5. Let h be g(-2). Suppose 3*u - 5*p + 0*p - 1499 = 0, -2*u = p - h. Find the common denominator of 73/22 and u/16*16/24.
44
Let q be (2 + -4)*(-296166)/12 + -4. Let s = q + -2764087/56. Calculate the common denominator of 41/6 and s.
168
Calculate the lowest common multiple of 1746 and 15/(((-110)/(-154))/((-234)/(-21))).
22698
Calculate the common denominator of (-32)/(-352) + 0 + (-126)/902 and 49/327.
13407
Find the common denominator of 76349/(-9576) - (8 + -13 - 3) and 46/63.
9576
Suppose -f = -3*f - 186. Let y be (-5 - -2) + f/13. Let v = 1693/104 + y. Calculate the common denominator of 21/10 and v.
40
Suppose -5*p = -3*p - 388. Suppose -50 = -4*f + 2*v, 0 = 4*f - 4*v - 137 + 85. What is the smallest common multiple of p and f?
1164
Let z = 1249 + -5043/4. What is the common denominator of z and 299/20 + 1560/(-130)?
20
Let t = -2451074 - -36780814/15. Suppose 3*b + 2529 - 579 = -2*o, 3*o + 2*b = -2935. Let p = t + o. What is the common denominator of p and -37/5?
15
Let v = -109587/4552520 - 79/9160. What is the common denominator of 55/16 and v?
7952
Let n = -1377291/40 + 34430. What is the common denominator of 124938/53856 + 2/17 and n?
80
Calculate the common denominator of 52/182 + (-1199)/(-154) and 5/2968.
2968
Let k be 15693/10458 - (-3)/(-2). Let m = 4/1383522911 + -32948598167297/14468882603238. Let r = k - m. What is the common denominator of r and -50/3?
18
Find the common denominator of -4/7 and (-70*(-8)/56)/(1/((-34)/(-4456))).
7798
Suppose 2*v - 457 = 115. Let u = 241 - v. What is the common denominator of 15/4 and u?
4
What is the least common multiple of 87 and (98 - 0) + 184/46?
2958
Let u = -11704 + 3042961/260. Calculate the common denominator of u and 14/275.
14300
Let s = -644 + 285. Let x be 741/(-8)*8/2. Let c = s - x. Calculate the common denominator of c and -103/38.
38
Let j(l) = 9*l**2 - 7*l + 8. Let o be j(5). Let q = -2593/888 + 5/111. Calculate the common denominator of 1 - (-4 - o/(-28)) and q.
56
Let v(b) = -14*b + 4*b + 3*b + 24 + 11*b. What is the least common multiple of v(-5) and 52?
52
Let y be -4 - -2 - 2181543804174/383504. Let p = 45507627/8 + y. Let n = 2/2179 + p. Find the common denominator of 101/4 and n.
44
Let t(k) = k**3 - 2*k**2 - k + 10. Let x be t(0). Let j(f) = 27*f - x*f - 4*f - 9*f - 12. What is the lowest common multiple of j(6) and 22?
132
Calculate the common denominator of -28/111 and -2*(-1)/(-25) + (-100303)/(-2225).
111
Suppose 0 = -4*j + 16, 4*a + 48 = 3*a + 2*j. Let h = -39 - a. Calculate the least common multiple of h/((-1)/(-20))*54/90 and 10.
60
Let o = 43541/56272895 + -3/16723. Let u = -188422/30285 - o. Find the common denominator of 15/(-3)*(-72)/170 and u.
153
Suppose -m = -10*m + 54. Let w(p) = 7*p + 4*p - m*p - 8 + 8*p. What is the smallest common multiple of 8 and w(2)?
72
Let p(x) = 2*x**2 - 333*x - 2209. Suppose 2*h - 85 = 5*a, -a = -2*h + 16 + 65. What is the least common multiple of h and p(173)?
40
Let q(c) = -c**3 - 21*c**2 - 8*c - 93. What is the least common multiple of q(-21) and 900?
900
Let c(q) be the second derivative of -q**5/20 + q**4/3 + 2*q**3 + 2*q**2 - 14*q. Suppose 0 = -4*k + 19 + 5. What is the lowest common multiple of c(k) and 12?
12
Let p be ((-1275)/(-12))/(-25) + 2/8. Calculate the least common multiple of 56*-2*p/28 and 52.
208
Let m = -90255 + 1805099/20. Let a = -9640 - -231281/24. Find the common denominator of m and a.
120
Suppose 4*g = -4*a + 8 + 24, 0 = -3*a + 4*g + 10. Let j = 17 - 26. Calculate the smallest common multiple of a and (-2)/(-6) + (-51)/j.
6
Find the common denominator of 9942130/993342 - (11 + -1) and 91/15.
37065
Let t(s) = s**2 + 8*s - 52. Let g be t(-8). Calculate the common denominator of g/264*-15 + (-6)/4 and 1/110.
110
Let c = -66 + 417. Calculate the lowest common multiple of c and 390.
3510
Suppose 39*s + 589 = 58*s. Suppose -s*w = -10*w - 147. What is the smallest common multiple of 231 and w?
231
Let i = -35023 - -1470857/42. Let z = 92509/7452 - -5/1863. What is the common denominator of i and z?
84
Let g(c) = 54*c**3 + 2*c**2 - 30*c + 9. What is the lowest common multiple of g(3) and 45?
1395
Let q = 386 + -338. Suppose 2*s = -2*h + 210, 24 = 5*s - 1. Suppose 4*o - h = -20. What is the lowest common multiple of o and q?
240
Suppose 2*d - 4*w - 10 = 24, -3*d = 5*w - 84. Suppose -4*t - 5*z + 18 + 6 = 0, 0 = -3*t - 4*z + 18. Calculate the lowest common multiple of d and t.
138
Let x(g) = -g**2 + 8*g - 1. Let c be x(6). Suppose -23 = -c*p + 54. Let u = 20 + -9. What is the smallest common multiple of u and p?
77
Let r(h) = 5*h**2 + 11*h - 1. Let c be r(-2). Calculate the common denominator of 151/12 and (-406)/(-24) - (76/24 + c).
12
Let n be 18/(-45) + 195743/(-30). Suppose 26020 = -18*f + 14*f. Let r = f - n. What is the common denominator of r and -23/12?
12
Suppose -4*m + 3*m = -4*l + 137, -2*m - 294 = -3*l. Let z = -152 - m. What is the smallest common multiple of 2 and z?
2
Suppose -2*u - 2538 = 62*d - 66*d, 0 = -3*u - 27. What is the least common multiple of d and 22?
6930
What is the lowest common multiple of 164/9*3 + 80/60 and 343?
2744
Let n = -2 - -4. Let d(a) = 2*a**2 + 14*a - 27. Let o(s) = s**2 + 14*s - 30. Let g(t) = -4*d(t) + 6*o(t). What is the least common multiple of n and g(10)?
8
Let m = 20 - 22. Let w be -30*(m + (-352)/(-20)). What is the common denominator of w/(-126) + 1/6*2 and -20/27?
189
Let p = -2440 - -2734. Calculate the least common multiple of p and 189.
2646
Let m be -8 - 1361*6/(-318). Let g = m + -62917/3286. What is the common denominator of -1/4 and g?
124
Let f(h) = -48*h - 10. Let y be f(-1). Suppose -i + 37 = 4*c, -4*i + 3*c + y + 91 = 0. Suppose 6*s = 9*s - 9. What is the lowest common multiple of s and i?
33
What is the common denominator of -109/80 and (-58)/60 - 19/(-114)?
80
Let o = 2250977/114 - 19746. Find the common denominator of o and -40/27.
1026
Let t = 63103 - 23895. Let o = t + -3764015/96. Calculate the common denominator of o and -131/24.
96
Let m = -202418471/274120 - -65718/89. Calculate the common denominator of -1/3696 and m.
18480
Let s(a) = -12*a - 3. Let q be s(-1). Suppose q*y + 144 = 2*o + 8*y, 2*y - 230 = -3*o. What is the common denominator of 19/12 and 0 + o/(-9) + (27 - 26)?
36
Let i = -7289 - -7305. Calculate the lowest common multiple of 582 and