
64032
Let c be (-854906654)/372*(-2)/(-112). Let m = c - -41035. Find the common denominator of -27/11 and m.
528
Let i(p) = -p**3 + 12*p**2 - 20*p + 20. What is the least common multiple of i(10) and 1530?
3060
Let z(d) = d**2 - 17*d + 33. Let x be z(15). Suppose -4 = -l + y, x*l - 3*y = -2*l + 16. Let g = l + 10. What is the lowest common multiple of 4 and g?
12
Let t(b) be the second derivative of -11*b**3/2 + 2*b**2 + 5*b. Let i be t(5). Calculate the common denominator of -27/22 and 414/(-16)*(i/42)/(-23).
176
Suppose 420*z = 435*z - 18825. Calculate the smallest common multiple of 50 and z.
12550
Let b = -85 + 93. Let r = -52 - -48. What is the lowest common multiple of 264/42 + r/14 and b?
24
Let f = 3352 - 50216/15. Find the common denominator of (-1)/6*(8/14)/((-146)/(-511)) and f.
15
Let f = -250403/62744 + 1170/341. What is the common denominator of f and -1/46?
184
Let f = -8152051/1420 + 62681/71. Let g = 4862 + f. Find the common denominator of g and ((-5890)/(-744))/(1/(-4)*2).
60
Let j be (-2)/(-9) - (-488)/72. Let a be (0 + 2)/(-2) - 7154/j. Let f = a + 29644/29. What is the common denominator of -2/9 and f?
261
Suppose 7*p - p - 396 = 0. What is the common denominator of p/4*(-43)/1548 and 23/36?
72
Calculate the common denominator of -36/53 and ((-38)/6)/(6*6/54*-13).
1378
Suppose -4*s = u + 248 - 789, -5*u + 529 = 4*s. Calculate the least common multiple of s and 1496.
1496
Let z = 222663/80 - 2783. What is the common denominator of z and -39/160?
160
Let f(y) = 19*y**2 + 2*y - 3. Let u be f(4). Let h = 171/1732 + -104593/15588. What is the common denominator of h and (-1)/1 - u/(-144)?
144
Suppose 74 + 151 = -3*v + 4*j, -2*j = 0. Let t = v - -79. What is the smallest common multiple of t and (8 + (-372)/42)*(-28)/6?
4
Suppose -35 = 398*z - 393*z. What is the least common multiple of 53/5 + ((-84)/(-20))/z and 10?
10
Suppose r + 5*r - 18 = 0. Let d(c) = c + c**r + 5*c**2 - c - 146 + 135 - 3*c. What is the smallest common multiple of 20 and d(5)?
1120
Suppose -4*u = 0, -v + 15*u + 97 = 14*u. Let s = v - 39. Calculate the smallest common multiple of 2 and s.
58
Let z = -25/56 - -15/14. Calculate the common denominator of z and (-37)/(-342)*(-75)/((-2400)/128).
1368
Let m = -1117/11 - -3791/33. Calculate the common denominator of m and (-79)/(-72) - (-3)/(-6).
72
Suppose 4*b - 8*b + 72008 = 0. Let k be 4/(408/b)*3/10. Let g = k - 980/17. Find the common denominator of 69/22 and g.
110
Calculate the common denominator of (-1817)/115*((-162)/208 - (-8)/52) and -123/980.
1960
Let n = -1473109/150 - -9820. What is the common denominator of ((-4)/7)/(6036/(-492) - -13) and n?
1050
Let u = 123/16 - 1613/240. Calculate the common denominator of 27/26 and u.
390
Let h = -2/13731 + -38139/18308. Find the common denominator of h and -16/267.
1068
Let t = 5591 + -553483/99. What is the common denominator of -73/3 and t?
99
Let z(b) = -3*b**2 - 275*b + 190. Calculate the smallest common multiple of 360 and z(-91).
11160
Suppose g + 2189 - 2693 = 0. Calculate the smallest common multiple of g and 168.
504
Calculate the smallest common multiple of (-1120)/(-11) - 228/(-1254) and 2.
102
Let s = -1710531707/3220 - -531221. Calculate the common denominator of s and -33/14.
3220
What is the common denominator of 57/650 and (-10)/(-2) + ((-145170)/(-3250))/(-9)?
650
Suppose -f - 3*g = -516, 1391 = 4*f - g - 725. What is the lowest common multiple of f and 96?
1056
What is the common denominator of 25/761 and (1320/48 + 20)/2?
3044
Let v = 1800 + -1779. Let f = -47 - -27. What is the lowest common multiple of v and ((-108)/f)/(1/5)?
189
Let i = 98377508/435 + -226155. What is the common denominator of i and -46/165?
4785
Suppose -2*f + 14 = 2*y, -y + 5 = 1. What is the common denominator of f/(-1) + (2256/44)/12 and -75/2?
22
Let c be (27/(-12))/((-8)/288). Suppose -5*g + c = 3*z, -2*g + z = -3*g + 15. What is the lowest common multiple of 15 and g?
90
Let k(u) = -u**3 - 9*u**2 - 41*u + 27. What is the least common multiple of k(-7) and 2448?
7344
Let c(x) = -x**3 - 6*x**2 - 5*x + 5. Let p be -4 + (-6)/2 + 5 + -3. What is the smallest common multiple of c(p) and 0/(-2) - (1 - 11)?
10
Calculate the common denominator of 704/(-336) + 42/36 and 21/172.
1204
Calculate the common denominator of (-7)/(-28)*((-942)/(-132) + 1 + -5) and 115/804.
17688
Let b = 611641731/1012 + -604389. Find the common denominator of 131/18 and b.
9108
Let b(h) = 3*h + 66. Let r be b(-16). Suppose 4*m + r*m = 176. Let a = 23 - 16. Calculate the lowest common multiple of a and m.
56
Suppose -2*z + 171 = z. Let u = z - 59. What is the lowest common multiple of 18 and u/(1 + 1) - -31?
90
Suppose 0 = -9*x + 5*x + 20. Suppose -x*l - 5*r + 20 = 0, 2*l + 4 = -5*r + 18. Find the common denominator of 64/9 and 3*l/2 + (-213)/90.
90
Let i = 517847/13120716 + 1/172641. Let k = -5836253/171 + 34130. What is the common denominator of k and i?
684
Let g be 10439/(-77) - 1/7*-4. Calculate the smallest common multiple of 508 and 6/g*-3 + 708/90.
1016
What is the smallest common multiple of (-5 + 28/7)*(-132)/(-18)*-3 and ((-18)/2)/3 - -15?
132
Let p be (-1)/((3/2)/(-3)). Let h = 5 - p. Suppose -h*x - x = -32. What is the lowest common multiple of x and 22?
88
Let a(d) = 44*d - 126. Let w be a(3). Let y(x) = -41*x + 260. Suppose 0*z - 5*z = -20. Calculate the smallest common multiple of y(w) and z.
28
Let f(y) = 4*y**2 - 277*y - 1445. What is the lowest common multiple of 145 and f(-5)?
1160
Let y = -572221691/20 - -28603678. Let r = y - -7405. Find the common denominator of 59/5 and r.
20
Suppose -6 - 6 = -3*x. Let u(y) = -6*y + 4. Let q(f) = -12*f + 7. Let h(p) = 2*q(p) - 5*u(p). What is the smallest common multiple of h(x) and 14?
126
Let q be (-4)/(-6)*2*15/10. Suppose -q*f - 15 = 3*f. What is the lowest common multiple of (6/21 - 0)/(f/(-21)) and 12?
12
Find the common denominator of (27999/5856)/((-9)/12) and -83/4336.
4336
Let g(w) = w**3 + 9*w**2 - 11*w + 12. Let z be (20/35)/(4/266). Let x = z + 44. Calculate the lowest common multiple of x and g(-10).
902
What is the common denominator of (146/(-56))/(1032/2336) + 6 and -4/7?
903
Suppose -117*k + 4674 + 1410 = 0. Calculate the least common multiple of k and 1612.
1612
Suppose 0 = 5*o + o. Let b(c) = -2*c**3 + 5*c + 5. Let y be b(-2). Suppose 5*p - y - 7 = s, o = -3*s + 6. What is the lowest common multiple of p and 72?
72
Let i(v) = 359*v - 1355. What is the smallest common multiple of 42 and i(5)?
9240
Suppose 5*n - 79 = 2*h, -4*h - n + 6*n - 173 = 0. Let r = h + 49. Suppose -g = -r*g + 12. What is the least common multiple of g and 24?
24
Let p = 31 + -35. What is the common denominator of 35/24 and p + 0/(-4) + 247/30?
120
Suppose 0 = -2*i + 4, -2 = 2*u - i - 4. Suppose x + 0*q = -u*q + 56, -x = -5*q - 70. Find the common denominator of 170/x + (-3)/(-1) and 46/5.
30
Calculate the common denominator of (-46)/18 - (-5)/(-15)*-18 and (-52)/48*(-96)/(-105).
315
Let r be -2 + 10 - 759/(-23). Suppose -5*b - g = -35, 3*b - 4*g - 3 = r. What is the lowest common multiple of 44 and b?
88
Let v be 3 - ((-171048)/14301)/(-4). Let q = -75551713/47670 - v. Let s = q + 1582. Find the common denominator of 12/11 and s.
110
Let n(x) = -6*x - 5. Let q be n(8). Let r = q + 55. Suppose 0 = r*f - 5 - 51. Calculate the common denominator of f and 23/5.
5
What is the lowest common multiple of 12*((-494)/114 + 10/2) and 1932?
3864
Let m = 71509889189210 + -8707759206631638871/121770. Let t = m + 786838/1485. Let o = t - 2/1353. Find the common denominator of 101/2 and o.
2
Let k = -70 - -108. Let a = k + -39. What is the common denominator of a - (5/15 + 58/9) and 38/3?
9
Let t = -554178 + 438908897/792. What is the common denominator of 119/264 and t?
792
Suppose 0*c = -2*c - 16. Let i = -11 + 26. Let o = c + i. Calculate the smallest common multiple of o and 1.
7
Let t be (-2)/(-4) + 10773/38. Let n = 3689/13 - t. Find the common denominator of n and 28/3*5/(-60).
117
Suppose 105 - 57 = 8*q. Let m(h) = 7*h**2 + h - h**3 + 10*h**2 - 13 + 2*h**2. What is the smallest common multiple of q and m(19)?
6
Let g(b) = 114*b - 10105. What is the lowest common multiple of g(90) and 10?
310
Suppose -27 = -0*y + 3*y - 3*m, 2*y = -3*m - 3. Let n = -20221