Calculate the common denominator of x and 53/1850.
14800
Let f = 40 - 26. Let o(p) = p - 10. Let m be o(6). Let s = 16 + m. Calculate the smallest common multiple of f and s.
84
Let s = -2509 - -2545. What is the least common multiple of s and 84?
252
Suppose c = -3*j + 2 - 12, 0 = -2*j. Let w = 1766 + -1716. Find the common denominator of (-2)/c + (-1185)/w and 29/8.
8
Let p = -7307 + 11207. Suppose 0 = 52*n - 13*n - p. What is the lowest common multiple of n and 45?
900
Let o(a) = -4*a**2 + a + 3. Let r be o(3). Find the common denominator of ((-533)/(-52))/((-2)/4) and (558/r)/(8/10).
4
Suppose -j - 5 + 13 = k, 4*k - 5*j = 68. Let t be ((-6)/(-2))/(k/16). Calculate the common denominator of 1 + 1374/(-660) + t/10 and 41/64.
704
Suppose -12*k - 173 - 847 = 0. Let u = 121 + k. Calculate the smallest common multiple of 24 and u.
72
Let w be (65/(-2230))/(14/(-84)). Let c = 11441/9812 + w. Calculate the common denominator of c and 89/110.
220
Let u(h) be the third derivative of 13*h**5/60 - h**4/6 - h**3/3 - 7*h**2. Let y be u(3). Calculate the common denominator of 149/24 and (1/2)/(-6 - (-621)/y).
24
Let w be 0 - -6 - (7 + -1). Calculate the common denominator of (w + 237/21)*2/(-6) and 1 + ((-82)/(-14))/1.
21
Let i be (63442/36)/(2/(-6)). Let a = 5300 + i. What is the common denominator of a and -31/40?
120
Suppose -32*u = -35*u + 24. Suppose 3*g = u + 4. What is the smallest common multiple of (5/g)/(9/36) and 23?
115
Let k = 12449/25250 + 3/1010. What is the common denominator of k and 64/275?
1375
Let m = 3239 + -3224. What is the lowest common multiple of 3651 and m?
18255
Calculate the least common multiple of 390 and (18/15)/((-225)/(-48750)).
780
Let s be -4 + 105/((-3)/(-1)). Let c = s - 21. Let r = -15 - -25. What is the lowest common multiple of r and c?
10
Suppose -6*g = -1595 - 8773. Let m = g + -36310/21. Let o = 2101/3 - 716. What is the common denominator of o and m?
21
Let c be -2 - (-2814)/10 - 45/(-75). What is the common denominator of -67/35 and (-1046)/c - 6/(-21)?
140
Let j = 22858 - 960089/42. Find the common denominator of j and 51/112.
336
Let l(u) be the second derivative of -u**4/12 - 19*u**3/6 - 31*u**2/2 - 9*u. Suppose 0 = -2*y + 20 - 2. Calculate the smallest common multiple of l(-17) and y.
9
Calculate the least common multiple of (-65)/1950 + 61381/30 and 6.
2046
Let f = 137883201/1330 + -207343/2. Calculate the common denominator of -91/380 and f.
2660
Suppose -5*d + 3*b = 288, -21*d + b - 58 = -20*d. What is the smallest common multiple of 20 and ((-3)/(-6) + d/(-6))*5?
100
Let w = 124 + -124. Suppose w = 4*f + 2*f - 36. Suppose -96 = -5*h - 0*n + 2*n, -15 = 5*n. What is the smallest common multiple of h and f?
18
Let r = 43346 - 43342. What is the least common multiple of r and 7998?
15996
Let u(n) = -n**3 - 24*n**2 - n + 1. Let l be u(-24). Let w be -3 - 16/20*l/(-2). Calculate the common denominator of ((-2)/(-4))/(w/(-61)) and -3/20.
140
Let o be (-1)/(-14)*(-435)/(-10). Let l = o - 983/224. What is the common denominator of 652/(-126) + (725/(-2475) - (-2)/11) and l?
224
Suppose -10*u + 1 = -9*u. Suppose -2*h = -u + 3. Calculate the common denominator of 25/8 and (-2238)/(-684) + h - 4/6.
152
Let y = 49063595 + -45629147723/930. Let b = y - -1/465. What is the common denominator of b and (50/(-20))/((-3)/17)?
30
Suppose 755*g + 546 = 781*g. Let s(z) = -z**3 + 9*z**2 - 2*z + 9. Calculate the least common multiple of s(7) and g.
651
Suppose n = 9*h - 12*h + 22, -2*h + n = -23. Suppose -21 = -h*g + 330. Calculate the lowest common multiple of 18 and g.
234
Let s = 5167369 + -22385042369/4332. Find the common denominator of -107/2166 and s.
4332
Let n = -1620 + 1670. Suppose 15*d - 50 = 10*d. Calculate the lowest common multiple of n and d.
50
Let b = 3829 + -3679. What is the lowest common multiple of 183 and b?
9150
Let q = 11995 - 11031. Calculate the lowest common multiple of q and 4820.
4820
Let d be (-118)/4*2 + (-9)/(-3). Calculate the smallest common multiple of ((-8)/12 + 4)*(4 - -2) and (6 + 0)/((-21)/d).
80
Suppose -228 = -v - 187*v + 148. Let k(a) = a + 6. Let q be k(-3). Suppose -5*u = -q*c - 4*u + 10, c - 4 = u. What is the least common multiple of c and v?
6
Let w = -2764799/60 + 46077. What is the common denominator of 35/12 and w?
60
Suppose -3*v = -5*b - 31, 20*v = 15*v + 10. Let g be (-10)/(-15) + 52/3. What is the common denominator of b and (20/49)/(g/(-21))?
21
What is the common denominator of -18 and (-372)/(-8)*(-5 + (-24058)/(-4812))?
1604
Let h be 2*(-3 - -1) - 60350/45. Let d = h - -1340. Find the common denominator of d and 56/36 + -5 + 2.
9
Suppose 0*y + y - 5*u - 34 = 0, -2*u = -3*y + 76. Calculate the lowest common multiple of y and 2000.
6000
Suppose -3*m - 5*n - 2865 = -8*n, 0 = 2*m + 2*n + 1922. Let c = m - -7635/8. Let i = -33/40 - c. What is the common denominator of 16/37 and i?
185
What is the common denominator of -23/78 and 170/5*(-112)/384?
156
Suppose -4*y = -5*y + 4*w + 27, 20 = 5*y + 3*w. Suppose y*c - 14340 = 3*c. What is the common denominator of 38/55 and c/(-4725) - (-1 - 18/(-14))?
495
Let h = -634 + 700. Calculate the smallest common multiple of h and 936.
10296
Let a = 3993/691 + -7614833/1257620. Let w = -37/780 + a. What is the common denominator of w and -41/55?
1155
Let k = 66 - 27. Let g be (-8)/64 - 2338/(-16). Let b = g + -131. Calculate the least common multiple of k and b.
195
Let a be 12950/22625 + 3/(-5). Let w = -2113/8688 + a. Find the common denominator of 5/20 + (-89)/(-36) and w.
144
Suppose 0 = 7*o + 68 + 100. Let v(f) = 2*f**2 - 4*f + 2. Let d be v(2). What is the smallest common multiple of 6 and o/(-9)*21/d?
84
Let f be -5 + (-10)/(-65) + (-4816731)/(-1247844). Let w = f - 4/5473. What is the common denominator of (-271)/(-30) + 6/9 and w?
380
Let g be (-1)/4*(-1 - (-22495)/3). Let x = g - -1852. Find the common denominator of -1 + ((-104)/(-20))/(-1) and x.
15
Let i = 5601 - 5502. Calculate the lowest common multiple of 1341 and i.
14751
Suppose 4*v + 2*c - 668 = 0, -4*c = 2*v - 38 - 308. Let s = -35 + v. What is the least common multiple of 65 and s?
130
Let p(l) = 870*l + 112. Let n be p(7). Calculate the common denominator of (-4)/(-18) + n/252 and 70/39.
78
Let v = -9057 + 15182. Find the common denominator of 19/96 and (v/42)/25 + 3.
96
Let c = -337/204 - -41/102. What is the common denominator of c and -49/191?
764
Find the common denominator of -76/2415 and 8/(-2) - (-12 + 10381/1470).
4830
Let q be 8276/(-6) + (-1)/(-3). Let z = -3721 - q. Let i = z - -23449/10. Find the common denominator of i and -81/2.
10
Let c = -134583/22 - -6119. Calculate the common denominator of c and (-6)/(-4)*25/3.
22
Let u be 8/(-10)*(2 + 13). Find the common denominator of (-33)/(-8)*(-9 - 815/(-75)) and (1/56)/(u/508).
840
Let v = -318504577899341/30864494755270 - -2/5002349231. Let q = v - -12/617. Find the common denominator of q and -29/56.
280
Let y be 0*(-1 + (-6)/(-5)). Suppose 2*l - 3 - 37 = y. Calculate the lowest common multiple of 6 and l.
60
Let v = -1 + 9. Let m(x) = -268*x - 472. What is the smallest common multiple of v and m(-2)?
64
Let u = -130 + 1303/10. Let z be 1*-3 - (-6)/((-52248)/32627). Let w = z + -1/311. Calculate the common denominator of u and w.
20
Let v(m) = m**2 + 12*m + 12. Let q be v(-11). Calculate the common denominator of q/((-96)/146) - -1 and 45/(-21) - (-58950)/(-15120).
48
Let q(f) = -326*f - 145. Let l be q(-5). Let h = 16 + -10. Calculate the least common multiple of h and ((-1)/3)/((-15)/l).
66
Let s(v) = v**2 - 2*v - 904. What is the least common multiple of s(-30) and 168?
168
Let t = -1333 + 15991/12. Let o(m) = -m**3 + 12*m**2 + 5*m - 12. Let h be o(10). Let r = 909/4 - h. What is the common denominator of r and t?
12
Let o be -3*8/36*-3. Calculate the common denominator of 27/(-18)*(-1)/o and ((-4)/(-6))/(8/(-89)).
12
What is the least common multiple of 4056 and (8 + -21 - -23) + 20?
20280
Suppose -3*o + 5*g + 65 = 0, 3*g - 97 = -9*o + 4*o. Let z = -9952 - -89636/9. Find the common denominator of (-8)/o - 72/(-5) and z.
9
Let s = -43233 + 2420983/56. Let p = 809633/42 - 19276. What is the common denominator of s and p?
168
Let w(l) be the first derivative of -2*l**3 - 26*l**2 - 12*l - 170. Calcu