*2 + 8*w + 9. Let o be l(8). Suppose 2*x + x - 2*z = 52, -19 = -x + z. Calculate the common denominator of -73/2 and ((-6)/o)/(2/x).
6
Let x be ((-21)/994)/((-108)/5393). Let u = -1/1704 - x. What is the common denominator of 23/48 and u?
144
Let c(k) = k**3 - 9*k**2 - 9*k. Suppose -g + 3*g = 5*x + 25, -x + 49 = 5*g. What is the smallest common multiple of c(g) and 16?
80
Let v = 3/991 - 28787/15856. Suppose -2455 = -z - 315. Calculate the common denominator of v and (2/16)/((-25)/z).
80
Suppose -4*a = -2*s - 14 - 50, -a + 3*s = -16. Suppose 80 = -3*d + 7*d. Calculate the lowest common multiple of a and d.
80
Let p be -1*(2/(-7) - 61/7). Suppose -4 = -7*g + p*g. Find the common denominator of g and -18/5.
5
Let z = -44683/366390 + 70/1357. What is the common denominator of z and 163/120?
1080
Suppose 8 + 208 = 24*m. What is the lowest common multiple of m and 18?
18
Suppose 13*n + 10*n = -7*n + 4800. Let z(m) = -3*m + 7. Calculate the lowest common multiple of z(-5) and n.
1760
Let a be 1 + 4 - 10/(-5). Suppose 2*b - a*b = -25. What is the least common multiple of ((-54)/(-4)*1)/(135/180) and b?
90
Let b(k) = 46*k**3 - 3*k**2 + k + 1. Calculate the smallest common multiple of 99 and b(1).
495
Let p = -505 - -1517/3. Calculate the common denominator of p and -50/73.
219
Suppose -3*j - 144 = -3*z, -3*z + 7*z = j + 192. Suppose 0 = -f + 4*f - z. What is the lowest common multiple of f and 2?
16
Suppose -39 - 41 = -4*s. Suppose 3*k - 10 = -22. Let o = 20 + k. What is the smallest common multiple of o and s?
80
Suppose 4 = -2*r, -4*a + 9*a - 5*r = 14035. Let b = a + -22367/8. Find the common denominator of -3/16 and b.
16
Let i = 9507/22 + -432. What is the common denominator of 202/(-12) + -3 + (6 - 5) and i?
66
Let t be 1 + (-21)/(-27) + (-24)/(-108). Suppose -3*r + 72 = -2*b, -3*b = t*r - 6*r + 96. What is the least common multiple of r and 12?
24
Calculate the common denominator of -41/40 and (0 + 3/40)/((-165)/(-12210)).
40
Let m = 54486002443/5554137160 + -5631/515944. Let i = 2/2153 + m. Calculate the common denominator of i and -115/28.
140
Let y be 972183985/(-2175) + 2/10. Let n = 446986 + y. Let p = n + -55/116. Calculate the common denominator of -59/2 and p.
12
Let l(f) = f**3 - 23*f**2 + f + 1. Calculate the smallest common multiple of 42 and l(23).
168
Suppose a + 58 = 4*w, 0 = 4*a + 8. What is the smallest common multiple of 3 and w/4*2 + -4?
3
Let m = -714 + 799. What is the least common multiple of 45 and m?
765
Let b(w) = -w**2 - 12*w + 1. Let p be b(-6). Let m = 11 - p. Find the common denominator of -7/18 and m/(-28) + 1/(-7).
126
Let l = 27337/4 - 6892. Let q = l - -2725/44. Find the common denominator of (-99)/30 - (-1)/(-2) and q.
55
Calculate the common denominator of 19/((-1140)/(-8))*-6 and (-2)/(-6)*(-426)/52.
130
Suppose 3*m - 7*m = -t - 7, m + 5*t = 7. Suppose 0 = 2*z + 5*l - 525, 4*z + 12*l = 16*l + 1036. What is the smallest common multiple of z and m?
260
Let i = 1101091/36 + -30583. Calculate the common denominator of i and -49/10.
180
Let n = 2/466397 + 2362767136/15391101. Let q = n + -899/6. What is the common denominator of (-309)/(-28) - (198/(-42) - -5) and q?
44
Let x(r) be the second derivative of -r**3/3 - 25*r. What is the lowest common multiple of 10 and x(-6)?
60
Let z be (23/(-69))/(((-10)/12)/5). Suppose -4*u = -z*p - 124, p + 6 - 4 = 0. Calculate the least common multiple of u and 78.
390
Let g = -1481/9 + 47077/288. Find the common denominator of -39/32 and g.
32
Suppose 0 = -5*w + 1180 + 830. Find the common denominator of 113/20 and (-3)/(-18)*w/8.
40
Let m = -4/57 + -70/627. Let c = -604591/44 + 13742. Find the common denominator of m and c.
44
Let r be (-10)/30 + 244/(-6). Let k = r + 51. Calculate the smallest common multiple of 8 and k.
40
Suppose -553 = -7*y + 2737. What is the smallest common multiple of y and 4?
940
Let w(x) = x**3 - 7*x**2 + 6*x + 3. What is the least common multiple of w(7) and 95?
855
Let a = -28063 - -280271/10. Let n = 2/1271 - -29223/6355. Let f = a - n. What is the common denominator of f and -67/10?
10
Let a = -385 - -17326/45. Find the common denominator of -80/39 and a.
585
Find the common denominator of 312/(-84) + (-1 - -3) and 18/11.
77
Let r = 16 - 31. Let v(o) = o**3 + 16*o**2 + 14*o - 18. Let f be v(r). Find the common denominator of (553/84)/(1/f) and -109/20.
20
Suppose 3*a + 1103 = 8*a + 3*h, 3*a - 657 = 3*h. Calculate the smallest common multiple of a and 14.
1540
Let n be 24 + (6 - 2) + -8. Suppose 4*j = -2*r + n, -5*j + 3*r + 26 = 1. Suppose -24 = -j*i + 56. What is the least common multiple of i and 12?
48
Let j be 62/279 + (-1 - (-814)/(-18)). Calculate the common denominator of 143/12 and (-50)/30*j/(-5).
12
Let j be (-1)/3 - 2873453/115710. Let h = j - 2/19285. Let p = -11411/1104 + 1/368. Calculate the common denominator of h and p.
6
Let o be (2/15)/((-168)/(-39410)). Let k = o - 63/2. Calculate the common denominator of -1/7 and k.
63
What is the lowest common multiple of 28 + 2*(-6 - -4) and 2?
24
Let y = 11907707332429/14110 - 843919725. Let b = 2/1411 + y. Calculate the common denominator of 38/3 and b.
30
Suppose -345 = -2*c - 5*b, -5*c - 2*b = -7*b - 775. What is the common denominator of (1356/c)/(9/12) and -43/16?
80
Suppose 0 = -l + 3*v - 3004, -3*l - 3*v - 425 - 8647 = 0. Let u be (-105)/36*7214/7. Let c = u - l. Find the common denominator of c and 115/28.
84
Calculate the lowest common multiple of (2 + (1 - 6))/(12/(-256)) and 11.
704
Let r = 12 + -6. Suppose 2*j = r, -2*j = 2*f + 3*j - 367. Let i = -1273/7 + f. What is the common denominator of i and 14/9?
63
Let k be 3 + 1 + (150 - -2). Calculate the common denominator of 67/38 and (-5 - 23/(-4))*k/(-14).
266
What is the least common multiple of 78 and 33/1 + -26 + 29?
468
Suppose -4*c + l - 8 = -4*l, -l = -4*c - 24. Let k(x) = x**2 + 7*x + 8. Let u be k(c). Let f = u - -8. Calculate the lowest common multiple of f and 18.
144
Calculate the smallest common multiple of 19 and (191/(-2) + -9)*-2.
209
Find the common denominator of -101/4 and (1/(-10))/(((-216)/1356)/3).
60
Let n(h) = -2*h**2 - 11*h + 7. Let g be n(7). Find the common denominator of ((-8)/(-36))/(298/151 + -2) and (-10)/(-35) - (-1882)/g.
36
Let x(d) = d**2 + 6*d + 1. Let j be x(-5). Let q(z) = 6*z - 1. Let v be q(j). Find the common denominator of (-5)/v*89/2 and -101/2.
10
Let b(a) = -18*a**3 - 5*a**2 - 3*a + 4. Let c be b(5). Let q = -1674 - c. What is the common denominator of q/30 + 21/35 and -20/11?
33
Let u = 9742843/11012 + -3539/4. Let l = -300185/49554 - u. What is the common denominator of -109/10 and l?
90
Suppose -8 + 141 = 7*l. Calculate the common denominator of (-5)/l - (14/(-7) - 0) and 93/8.
152
Suppose -4*b = -4*a - 30 + 10, -4 = a. Let f = 17 - 17. Suppose -3*k - 2*d - 4 = 0, -5*k - 2*d - d - 5 = f. What is the least common multiple of b and k?
2
Suppose 75 = 3*f - 2*o, 12*o = f + 11*o - 24. What is the smallest common multiple of f and 201?
1809
Let n be 2 - (4 - (3 - 1)). Let u(h) = -h**3 + h**2 + h - 16. Let l be u(n). Find the common denominator of 91/4 and 246/l*24/(-30).
20
Let d be 63/35 + (-4)/(-20). Suppose d = 6*c - 5*c. Calculate the smallest common multiple of 11 and c.
22
Let o be -6*(-28)/18 + (-50)/(-75). Suppose 0 = -7*t + o + 39. What is the least common multiple of 8 and t?
56
Let g = 13 - -16. What is the smallest common multiple of g and 11?
319
Let p be (-2)/(-7) - 48/21. Let i(s) = -14*s + 4*s + 0 + 4*s**2 + 15*s + 4. What is the lowest common multiple of i(p) and 2?
10
Suppose -5*f + 11 + 184 = 0. Find the common denominator of f and -40/7.
7
Find the common denominator of 77/8 and 3 - (-6 + 5) - 102/36.
24
Suppose 0 = -3*m + 11 + 1. What is the common denominator of -41 and (m/170)/(1/(-10))?
17
Let r = 120 + -38. Let j = r - 246. Find the common denominator of (1 + (-77)/80)*j and -43/6.
60
Suppose -8*l + 3*l = 1075. Calculate the common denominator of 15/20*l/45 and 149/18.
36
Let g = 35 - 32. What is the smallest common multiple of 36 and (22/g - 2)*135/60?
36
Let n(r) = r - 16. Let v be n(0). Let g be 4/v*(-54794)/4. Let q = -3431 + g. What is the common denominator of q and -85/4?
8
Let q = -581/10 - -183/5. Let v = 149 - 271. What is the common denominator of q and