-30 = -41*b + 36*b. Calculate the least common multiple of b and 954.
954
Let g = -4025 + 60424/15. Calculate the common denominator of -91/120 and g.
120
Let s(h) = -h**3 + 13*h**2 - 31*h + 20. Calculate the least common multiple of 819 and s(10).
8190
Suppose -10*m = -m - 36. Suppose -s - 28 = s. What is the least common multiple of 70/m - 1 - 7/s and 1?
17
Let x = 5345 + -3028. What is the smallest common multiple of x and 42?
13902
Let x be ((-1)/(-8))/(850/235592). Let u = x + -836/25. Calculate the common denominator of u and ((-2562)/1260)/((-2)/3).
340
Let c(j) = 2*j + 1. Let i be c(13). Suppose 21 + i = 3*g. Suppose 184 = -4*t + 200. What is the smallest common multiple of t and g?
16
Calculate the common denominator of 55/327 and (-280)/(-1224)*15 - 2.
5559
Suppose -137*w - 140 = -130*w. What is the common denominator of (-1379)/(-504) - (-25)/w and -125/6?
72
Let b(d) = 5*d**2 + 67*d - 14. What is the lowest common multiple of 104 and b(-18)?
5200
Let p = -2897/604 + 7/151. Let j = -42143 - -1601525/38. Find the common denominator of p and j.
76
Let q be (-388)/(-28) + 6/(-252)*-6. What is the common denominator of (-6)/q - (-1054)/532 and -27/14?
266
Let m = -18 + 18. Suppose m = 12*c - 36 - 180. Suppose -c = l - 4*l. Calculate the smallest common multiple of l and 5.
30
Let n = 39 + -44. Let a = -732327/154913 - -1/14083. Find the common denominator of a and (n - (-135)/(-20)) + 5.
44
Suppose 25 = 5*d - 0. Let k = 766 - 768. Calculate the smallest common multiple of ((-44)/10 - -2)/(k/d) and 2.
6
Suppose -10*u = -5*u - 35. Suppose 2*g - 2 = g. Calculate the lowest common multiple of u and g.
14
Let p(z) = 3*z + 8. Let a be p(-2). Find the common denominator of 36*-1*3/(-40) and (-175)/((-10)/a) - (-2)/4.
10
Let q = 0 + 2. Let i = 1/1331 - -74491/59895. What is the common denominator of i and 2/(-2 - q/10)?
495
Let d(v) = -8*v - 124. Let f be d(-13). Calculate the lowest common multiple of 3/12 - 238/(-8) and ((-96)/f - 3)*10.
90
Let p = 1731/8 - 205965/952. Let a be ((-10)/51)/(8/66). Let h = a - p. Calculate the common denominator of -111/20 and h.
140
Suppose -23*c + 16507 = -1525. What is the smallest common multiple of c and 112?
784
Suppose 99*j = -34*j - 13*j + 158118. Calculate the lowest common multiple of 190 and j.
10830
Let p = 1312 + -727. Let c = p - 260. Let k = c - 3578/11. Find the common denominator of -39/7 and k.
77
Let t(b) = 3*b - 24. Let j be t(7). Suppose -5*x + 2*a + 36 = 0, 0*a + 8 = 2*x - 4*a. Calculate the least common multiple of (j/(-4))/((-18)/(-72)) and x.
24
Let x = -2496 + 19915/8. What is the common denominator of 711/(-627) + (-4)/22 and x?
152
Suppose -u - 8 = -5*l + 20, 3*l - 2*u - 21 = 0. Suppose -2*p - 1666 = 2*a, p + l*a - 78 + 891 = 0. Find the common denominator of -35/8 and p/(-140) + (-8)/40.
56
What is the common denominator of (((-546)/12)/13)/3*-4 and -62/4695?
4695
Let r(f) = f**3 + 18*f**2 - 361*f - 21. What is the lowest common multiple of r(-30) and 99?
99
Calculate the common denominator of 8/(-30)*(-963)/(-2328) + 0 and 62/35.
6790
Suppose -w - 42 = -4*w. Let s be (-338)/(-16)*2 + 75/100. Suppose 13*h - s = -17. What is the smallest common multiple of h and w?
14
Suppose 0 = -x + 3, 13*x = 5*c + 10*x - 51. What is the smallest common multiple of c and 139?
1668
What is the common denominator of 41/1989 and 14/(-2) - ((-35)/(-6426))/(11/(-14223))?
3978
Let p = -80007/26 - -3078. Let n = 425645/64162 + 41/4583. Find the common denominator of p and n.
182
Let a = 390 + -220. Suppose 0 = -2*n + n + 6. What is the least common multiple of n and -4 + (-5)/((-25)/a)?
30
Suppose -33684 = 4*z + 10704. Let f = z + 310679/28. Let s = 882 - 3495/4. Calculate the common denominator of s and f.
28
Let p(w) = -w**2 - 109*w + 12. Calculate the smallest common multiple of p(-6) and 30.
630
Let j(u) = -102*u - 402. Calculate the smallest common multiple of j(-6) and 110.
2310
What is the common denominator of ((6/(-1))/72)/(25/(-1340)) and -163/1254?
6270
What is the common denominator of -6 + (-416)/420 + (-68)/(-510) and -7/8220?
57540
Let x(h) = 0*h**3 - 6*h**2 - 28*h + 26*h + 3*h**3 - 5*h**3. What is the least common multiple of x(-4) and 12?
120
Let w = -2 - -5. Let l be -348 + (7 - (5 + -6)). Let t = -334 - l. Calculate the least common multiple of w and t.
6
Let f be 78394133/(-48) - (-1 + 21/9). Let w = 1632506 + f. Let x = 708 + w. Calculate the common denominator of x and 17/10.
80
Suppose 70 = 4*s + 6*s. Suppose s*r = -8*r + 45. Calculate the least common multiple of r and 22.
66
Let y(v) = -8*v + 203. Let d(j) = -4*j + 100. Let m(a) = -11*d(a) + 6*y(a). What is the lowest common multiple of m(20) and -9*-2*(-1)/(-2)?
342
Let k = 2/1179 + 27109/4716. What is the common denominator of (0 - (-2)/(-2))*(-816)/(-187) and k?
44
Let b = -1836 + 1870. What is the lowest common multiple of b and 238?
238
Let s(w) = -2*w**3 + 3*w**2 + 101*w + 304. What is the least common multiple of s(-3) and 470?
19270
Let u be (140/42)/(((-2)/12594)/(-1)). Let a be (((-2)/504)/(-1))/(5/u). Let y = a - 171/14. What is the common denominator of 107/18 and y?
18
Let y = 689 - 687. Suppose 4*k + 18 = g, g + y*g + 4*k = 22. Calculate the smallest common multiple of g and 18.
90
Suppose -630 = -80*i + 1610. What is the lowest common multiple of 604 and i?
4228
Let a(o) = -o**3 - 1. Let k be a(1). Let j be ((-1)/k)/(13/(-52)). Calculate the common denominator of j*164/40 - -1 and -70/9.
45
Let p = 208 + -212. Let t(d) = -d**3 - 4*d**2 - d. What is the lowest common multiple of 2 and t(p)?
4
Let w = -404899001/510 - -793920. Calculate the common denominator of w and -95/318.
27030
What is the smallest common multiple of 336 and 503 - ((-1)/4)/(8/32)?
1008
Let c(a) = 1217*a + 107. Calculate the least common multiple of 20 and c(7).
86260
Let m = 332263/1368 - 2186/9. Calculate the common denominator of 38 and m.
152
What is the common denominator of -37/207 and ((-1936)/(-1296))/(((-380)/(-6))/5)?
23598
Let k(i) = -31*i - 71. Let p be 1422/(-316) - ((-1)/2 + -1). Calculate the least common multiple of 10 and k(p).
110
What is the common denominator of 67/992 and -16 - (1472251/8432)/(-11)?
992
Suppose -2*r = 4, -5*r = -3*k + 4 + 30. Let x(v) = -8*v - v - 33 - 58 - 95 + 23. Calculate the least common multiple of k and x(-23).
88
Let o = -458 + 458. Calculate the common denominator of -77/279 and (1/12*213)/(o + -3).
1116
Let y be (((-3808)/(-24))/(-28))/(1/3). Let f(l) = -18*l - 108. What is the least common multiple of 18 and f(y)?
198
Let o(a) = 3*a - 3. Let c(g) = -g + 43. Let d be c(40). Calculate the lowest common multiple of 36 and o(d).
36
Let h = -348 - -2789/8. What is the common denominator of ((-72)/(-1017))/1*-4 and h?
904
Let r(h) = 77334*h**2 - 77334*h**2 + 10 - 5*h + 10*h**3. What is the lowest common multiple of 45 and r(2)?
720
Suppose 0 = -5*t + 2*f + 25501, f - 20414 = -4*t - 4*f. Let w = t + -173381/34. Calculate the common denominator of -101/2 and w.
34
Calculate the common denominator of 69/10 and (-747)/44136*(-5 - -4).
24520
Let g(n) = -n**2 + 13*n + 9. Let v be g(15). Let o be (v/12 - -3)*-20. Let q = -21 - o. Calculate the least common multiple of 1 and q.
4
Let s(c) = 2*c**2 + 2*c - 11. Let h be s(5). Let g = -27 + h. Suppose -24 = -g*o + 19*o. Calculate the least common multiple of 16 and o.
16
Find the common denominator of ((-67)/(-7))/(3*1) and 1234/660 - (9/4 - 8165/3124).
210
Let m(a) be the first derivative of -10*a**2 - 4*a - 23 - 1/3*a**3. What is the smallest common multiple of 30 and m(-19)?
30
Calculate the common denominator of 11/(165/21) - (1227/180 + 2) and 1/1468.
4404
What is the lowest common multiple of 61 and (7015/(-230))/(2/(-136))?
2074
Suppose 0 = u + 4 - 12. Let s(k) = k**3 - 6*k**2 - 13*k + 20. What is the least common multiple of 16 and s(u)?
176
Suppose 0 = 2*a + a - 3, 4*t = 5*a + 379. Let h be ((-6)/4)/(4/t). What is the common denominator of 226/h - (-1 + 1 + 2) and -119/6?
18
Suppose -24 = -0*s - 2*s. Suppose -2261 = 5*m + 2*h - 2365, 5*h + 10 = m. Calculate the smallest common multiple of m and s.
60
Let f be (36/21 - 0)/((-54)/(-189)). What is the common denominator of -14/3 and (-184)/f*(-10)/(-32)?
12
Let w = 39 + -36. Suppose -w*a = -2*a - 73. Supp