
3
Let n = 49067/60 - 4146/5. Let t be 668214/(-48)*4/18. Let p = 3096 + t. Calculate the common denominator of n and p.
12
Find the common denominator of 17/8 and (-63)/(-21) + 7/(7714/(-7719)) + 4.
4408
Let v = 100158/11 + -9101. Suppose 3*t - 7 = -5*k - 2, -4*k + 2*t - 18 = 0. Calculate the common denominator of 0/2 - 89/k and v.
22
Suppose 3*h + 1588 = 316. Let a = -292 - h. Calculate the least common multiple of a and 4.
132
Let d = 32357 + -3073944/95. Find the common denominator of d and -71/114.
570
Let x = -872 - -1187. Find the common denominator of -27/4 and 18*(4/1690)/(72/x).
676
Let h be 2 - 3/18*10*-3. Find the common denominator of h/98 - (-421)/84 and 202/48*1*2.
12
Let f = -3502 - -3505. Calculate the lowest common multiple of 2256 and f.
2256
Find the common denominator of -59/1084 and ((26/12)/(-13))/(60/486).
5420
Let i(f) = -7*f**2 + 428*f - 43. Calculate the smallest common multiple of 555 and i(61).
3330
Suppose -n + 44 = -2*z, -3*z = n + 2*z - 37. Suppose -n = -8*b + 438. Suppose -b = 8*w - 188. Calculate the lowest common multiple of w and 28.
112
Let p = -5602259/1978 - 24695/43. Let x = -3407 - p. Let z = 4789/4580 + 1/229. What is the common denominator of x and z?
460
Let r = -1003 + 123341/123. What is the common denominator of 50/17 and r?
2091
Let r = 31/818 + -21922/11861. Calculate the common denominator of r and -77/4.
116
Let t(b) = b - 6. Let h be t(-10). Let w be h + 1*4/4. Calculate the lowest common multiple of 2 and 1/(3 + 42/w).
10
Suppose h - 28 = -3*j, 10*h - 5*h - 20 = 0. Calculate the least common multiple of j and 135.
1080
Let i be -2*((-20)/(-4))/10 + -296. Find the common denominator of (i/(-21) - 1)/((-36)/(-42)) and -1/3.
3
Suppose 0 = -2*a - 3*a + 76170. Let t = a + -685471/45. What is the common denominator of 20/3 and t?
45
Let t(i) = -219*i - 1741. What is the smallest common multiple of t(-8) and 10294?
113234
Let v(s) = -5*s + 29. Let j be (1 + (5 - 3 - 10))/(-1). Let u be v(j). What is the lowest common multiple of ((-90)/(-20))/((-1)/u) and 27?
27
Suppose 0 = -55*u + 33 + 255 + 3342. Calculate the lowest common multiple of 198 and u.
198
Find the common denominator of (-39)/(-18) - 1880/(-960) and 41/6088.
6088
Let i = -220 - -226. Suppose 2*n = y - 11, y - 5*n - 17 - i = 0. What is the lowest common multiple of y and 20?
60
Let y(d) = d + 6. Let w = -4 + -30. Calculate the least common multiple of y(6) and w - -29 - (-10 - 1).
12
Find the common denominator of -31/2844 and 58421/22374 + 4/6 + (-7)/(-3).
2844
Let n = 77 - 71. Suppose -h - n*h - 1204 = 0. Let t = -675/4 - h. What is the common denominator of -79/10 and t?
20
Suppose 5721 = n + 2*q, -2*n - 236 = 13*q - 11687. What is the least common multiple of n and 209?
62909
What is the common denominator of -21/244 and (-174)/319 - 1134/(-2013)?
2684
Let o = 992562137/2208 + -449530. Calculate the common denominator of o and -121/1288.
15456
Let q(n) = 2*n**3 + 63*n**2 + 30*n - 23. What is the least common multiple of q(-31) and 60/(-18)*(-6)/5?
8
Let y = -313503 - -201895979/644. Find the common denominator of y and 111/322.
644
Let k = 1 + 2. Let t = k + -7. What is the least common multiple of t + 6 + 2 + 4 and 16?
16
Let q = -242 - 206. Calculate the common denominator of 2 + ((-14740)/q)/(-11) and -95/6.
336
Let j = -175003/772212 - -4/9193. Let z = -1300814/63 + 20649. Find the common denominator of j and z.
252
Let b(f) = 6*f + 136. Let k be b(-19). Suppose k*m - 21*m + 4*x = 85, m - x - 110 = 0. What is the least common multiple of 15 and m?
105
Calculate the common denominator of (-14738)/(-37320) - (-66)/(-165) and -17/15.
18660
Suppose 2*g - 40500 = v - 111957, v = -4*g + 71451. Let p = -35897 - v. Let n = 10949759/102 + p. What is the common denominator of 71/6 and n?
102
Calculate the smallest common multiple of (11 - 10)/(63/3738*2/3) and 445.
445
Suppose -7 = -0*i - 7*i. Let c be i/(-2) - 5662/4. Let l = 19787/14 + c. Calculate the common denominator of -31/16 and l.
112
Calculate the least common multiple of (6 - 264/(-55)) + (2 - 4/5) and 19334.
116004
Suppose 54*m - 51*m = -4*u + 114, -83 = -3*u - m. Calculate the smallest common multiple of -3 + 1 + 23 + -3 and u.
54
Let s = -1400579/815880 - 1/54392. Let b = 110107/3 - 1100993/30. Find the common denominator of s and b.
60
Suppose 6*c - 38 = 3*c + 205. What is the lowest common multiple of c and 1638?
14742
Suppose -4*t + 320 + 280 = 4*d, -5*d + 10 = 0. Let z = t + -146. Let j = 17 + -11. Calculate the smallest common multiple of z and j.
6
Let c = -12 - -15. Suppose -3*x + 8*x = 4*q - 17, -2*q - 5*x = -1. Suppose b = -c, -5*b = 4*v - q*b - 30. Calculate the least common multiple of 27 and v.
27
Let c be ((-32)/(-20))/(((-4)/(-20))/1). Suppose c = 7*m - 6. Suppose 0*p - m*p = -12. Calculate the lowest common multiple of p and 18.
18
Let f(m) = -m**3 + 6*m**2 - 2*m - 3. Suppose 5*l = 33 - 13. Let s be f(l). Find the common denominator of (17/(-15) + 1)/(s/1295) and -49.
9
Let u be 74942/159*(-19)/(-4). Let c be 2247*-1 + 1 - 1. Let o = u + c. Calculate the common denominator of -23/8 and o.
24
Let w(g) be the second derivative of g**4/12 + g**3 + 2*g**2 - 7*g. Let r be w(-6). What is the smallest common multiple of (-96)/(-36)*30/r and 16?
80
Let x be (-6474)/(-24) - 3/(-13 + 1). Suppose x*d = 273*d - 24. Let t(c) = -7*c - 2. What is the least common multiple of t(-1) and d?
40
Let g = -5404497504829/565774032 + -22/11786959. Let i = g - -9552. Calculate the common denominator of -49/108 and i.
432
Suppose 0 = 650*p - 7*p - 1984 + 698. Calculate the least common multiple of 5 - 1/((-3)/6) and p.
14
Let w(l) = 58*l + 68. Let y(x) = 39*x + 45. Let k(c) = 5*w(c) - 7*y(c). Calculate the smallest common multiple of k(-1) and 24.
24
Suppose -2*h = r - 12, -3*h = 5*r + 15 - 54. Suppose 2*q = 7*q - 165. What is the lowest common multiple of q and r?
66
Calculate the lowest common multiple of 3 and (196/490 + (-142)/30)*-666.
2886
Let c = 5054291/420 - 12034. Calculate the common denominator of c and 107/350.
2100
Suppose 0 = -t + 4*t - 15. Let j be -5 - -5 - (0 - t). Suppose 0 = 6*s - 77 + j. Calculate the least common multiple of s and 21.
84
Let q(i) = -3*i**2 + 63*i + 12. Let d be q(21). Let p(a) = 5*a - 6. Calculate the smallest common multiple of p(d) and 54.
54
Let u = 20155 - 18663. What is the least common multiple of u and 28?
10444
Let z(a) = -a**2 - a. Let p(k) = k**2 + 5*k + 12. Let w(g) = -p(g) - 2*z(g). Let f be w(6). What is the common denominator of -21/50 and 140/(-176)*(-1 + f/2)?
550
Let u(f) = 2*f**3 - 65*f**2 - 31*f - 63. Let k be u(33). What is the lowest common multiple of 55 and 133/k - (-14)/21?
495
Let d = -27 - -30. Let b(z) = 5*z**2 - 5*z + 5. Let j be b(d). Suppose 5*m - j = 5. Calculate the smallest common multiple of 16 and m.
16
Let b = -14442 - -14452. What is the lowest common multiple of 314 and b?
1570
Suppose 5*i = i - 16, -5*i + 10 = f. Suppose 4*p + 28 = 4. Calculate the smallest common multiple of f and (-38)/p - (-21)/(-63).
30
Suppose -3377 = 2*x + 15029. Let t = 92149/10 + x. Find the common denominator of (-471)/(-66) + -2 - 1 and t.
110
Let v = -14 + 14. Suppose v = -3*h + 12, 2*c + 2*h = h + 140. Suppose -5*l + c = -l + 4*y, -3*y - 5 = -l. What is the least common multiple of l and 26?
182
Suppose -33*s = -34*s - 4. Let i be 26998/(-224) - s/(-14). Let g = 229/2 + i. Find the common denominator of -145/54 and g.
432
Let w = 37 + -41. Find the common denominator of (-4 - 44/(-10))/(115/(-400)) and (-763)/14*w/20.
230
Let t = 140845/66 + -2134. Find the common denominator of t and 103/24.
264
Let u = -8295 - -149383/18. Let c = 24864601/1370 - 90748/5. Let h = -6/137 + c. Find the common denominator of u and h.
90
Suppose -4*p + g - 36 = 0, p - 12 = -0*g - 5*g. Calculate the common denominator of (p/(-50))/((-126)/(-1120)) and 49/50.
450
Calculate the common denominator of (-5 - (-584)/120) + 1159/47880 and -47/504.
504
Let i be (-80)/56 - -2 - (-2476)/126. Let u = i + -233/9. Calculate the common denominator of 36/11 and u.
33
Let s(i) = -i**3 - 4*i**2 + 8*i + 5. Let u be s(-5). Find the common denominator of 6 - (6 - u/(-15)) and 28/3.
3
Let u = 94 - 10. Let w = u - 32. Suppose z + 56 = 5*z - 3*s, -2*s - w = -4*z. Calcu