-877457/30. Let p = -9601/8 + 3595/3. What is the common denominator of c and p?
120
Suppose 5*a = -3*m + 63 - 24, 5*m - 4*a = 102. Let y(o) = -6*o**2 + 18 - 5 - 3*o**2 + o**3 + 8*o + 16*o**2. Calculate the least common multiple of y(-6) and m.
18
Let c = -2642983/6 + 438902. Let o = c - -1614. What is the common denominator of 3 - ((-18)/30 + (-44)/(-5)) and o?
30
Suppose -14*f + 6 = -i - 17*f, -2*f = 2. Let y(m) = m**3 - m**2 - m - 10. Let j be y(0). What is the least common multiple of 21/(5/(j/i)) and 14?
14
Let n(q) = -99*q - 194. Calculate the smallest common multiple of n(-2) and 84.
84
Let k = 4961129456 - 11208340947. Let c = -42599735323060/6819 - k. Let x = 2/6819 + c. Calculate the common denominator of -1/59 and x.
177
Let i be (-13)/((-1274)/42) + 454453/125034. Let o = -17/687 + i. What is the common denominator of o and 67/4?
52
Suppose -q - 3*q - 60 = 0. Let c be 2620*((-27)/45 + -7 + 8). Calculate the common denominator of 53/6 and (c/108)/((-20)/q).
18
Let u(r) = 45*r - 411. What is the lowest common multiple of u(12) and 12?
516
Find the common denominator of 34/(-42) + ((-4992)/273)/64 and (2/12)/(15/429).
210
Let z be (-6)/21*-6*-7. Let u(x) = x**2 - 6*x + 4. Let r be u(4). What is the smallest common multiple of (3/z*4)/(2/r) and 5?
10
Suppose -254 - 98 = -22*m. Let i(l) = 3*l - 2. Let t be i(-2). Let d = 0 - t. Calculate the least common multiple of d and m.
16
Let t = 20 - 18. Suppose -t*v + 2 + 4 = 0. Calculate the common denominator of v/(-2) - -2 - 215/40 and 19/20.
40
Let x = -129309865/406 - -318497. Find the common denominator of -127/290 and x.
2030
Find the common denominator of (-3)/(-2) - (-23 + (-737)/(-33)) and 79/368.
1104
Let t = 0 + -1. Suppose -5*d - 4 = -7*d + 2*z, 0 = -z + 4. Calculate the common denominator of t*(-3 + 57/d) and -2/3.
6
Let c(j) = -j**3 - 8*j**2 - 8*j - 1. Let i be c(-7). Calculate the common denominator of (2 + (-34)/(-27))*9/i and 320/(-84) + 3/((-105)/10).
63
Suppose 0 = -10*f + 7*f + 5*g - 9, -6 = -2*g. Suppose i - d - 3 = 0, -d - 4 = -2*i + f*d. Calculate the least common multiple of i and 55.
55
Let l be (6507/45 - 17)*5/2. Suppose 317*n = l*n - 120. What is the smallest common multiple of 70 and n?
420
Calculate the common denominator of (24/(-72))/((-7)/57) and (279/(-10))/((1008/(-30))/8).
14
Suppose -74 = 7*o - 5*o. Let w = o - -35. Find the common denominator of -25/14 and 4812/168 + w/14.
14
Suppose 0 = 2*m + 4*q + 10, -m - 3*q - 322 = -313. Calculate the least common multiple of 2106 and m.
2106
Let x = -1487/225288 - 23/1512. Find the common denominator of x and -37*((-2)/(-15))/(10*(-8)/(-100)).
1788
Suppose -3*v - 156 = 24. Find the common denominator of (-214)/v + (-50)/(-150) and -29/5.
10
Let s(o) = -o**2 + 500*o - 3443. What is the lowest common multiple of s(7) and 1/(-4) + (-339)/(-12)?
56
Let c(r) be the third derivative of -7*r**5/30 - r**4/6 + r**3/2 + 34*r**2. Let j be c(1). Find the common denominator of ((-111)/3)/(3/(j/(-100))) and 5/28.
140
Let o(p) = -5*p**3 - 102*p**2 - 218*p + 3. What is the smallest common multiple of 1713 and o(-18)?
22269
Suppose 5259 + 2444 = 5*k - 657. Calculate the lowest common multiple of k and 308.
11704
Let c = 844110 + -2312861357/2740. What is the common denominator of -137/90 and c?
24660
Let q(u) = -u**3 - 24*u**2 + 24*u - 23. Let t be q(-25). Suppose -4*b - c = -3, -4*b - 2 + 4 = t*c. What is the common denominator of -35 and b?
1
Suppose -t - 4*x - 9 = 0, 4*t + 112 = 4*x - x. Let j = -20 - t. Suppose 5*z + 2 = -2*l - 3, -3*l = j*z + 10. What is the least common multiple of 11 and z?
11
Suppose -9*b + 6*b - 3 = 5*i, -4 = -5*i + 4*b. Suppose -5*u - 3 - 17 = -h, i = -4*h + 5*u + 140. What is the smallest common multiple of 40 and h?
40
Let i = 142499/460 - 7018/23. Calculate the common denominator of i and (-238)/(-12)*3/(-5).
20
Suppose f = -0*f - 2. What is the common denominator of (-4)/((-256)/(-74))*f and ((-3)/12)/(-5 + (-2985)/(-594))?
80
Let j = -39931646124/9035 + 4419662. What is the common denominator of j and -26/11?
99385
Let m be 1*(-3)/(-12)*-10*-2. What is the smallest common multiple of 212/5 + 4/(-10) and m*1 - 0 - (-75 + 74)?
42
Let w = -797 + 745. Find the common denominator of 13/40 and 1197/140 - (-13)/w.
40
Let i = -13864/17 - -816. Let o = i + -317/204. What is the common denominator of 65/32 and o?
96
Let j = -68/107 - -13948/12519. What is the common denominator of j and (202/84)/(2 + -3)?
1638
Suppose 4*d + 0 = 4. What is the least common multiple of 12*((-12)/(-4) - 3/12) and d - (1 + -1 + -14)?
165
Let d be 2/(-5)*(2 + 1 - 18). Let p = 9205/22 - 415. Calculate the common denominator of (1*d/32)/(-78 + 75) and p.
176
Suppose 0 = -5*b + 35 - 10, b = 2*s + 11. What is the common denominator of 27/5 and (s/(-75))/(19/(-874))?
25
Let x = -933367/36900 + 6185/246. Find the common denominator of x and 47/80.
3600
Calculate the lowest common multiple of 8/(-6)*18/72 - 14348/(-6) and 9.
7173
Suppose 9 = -3*d - 0. Calculate the smallest common multiple of (-1)/2*8*-5 and d + ((-2)/6 - (-530)/15).
160
Suppose -r + 3 - 53 = 0. What is the common denominator of (4/r)/((-12)/15) and ((-6)/(-2))/(-51)*(15 - -4)?
170
Let v = -32988 - -34437. What is the lowest common multiple of v and 2070?
14490
Suppose 4*q - 2 = 2*n, -2*n - 5 = 5*q - 7*n. Suppose f = -q*g - f + 14, 0 = 4*f - 16. What is the least common multiple of 4 and 2 + g*18/3?
20
Calculate the common denominator of 197/1170 and (-23 - 2676/(-108))/((-10)/6).
1170
Suppose -6*n + 4*n - 2840 = 0. Let z = n + 12854/9. Find the common denominator of (-35)/5*(8 - 13) and z.
9
Find the common denominator of -67/80 and 14/(-12)*(-204)/(-408).
240
Let v(g) = -g**2 - 159*g + 999. Calculate the smallest common multiple of 612 and v(6).
612
Suppose -32 = -3*p - 5. Let k = -74 - 856. Let i = -929 - k. What is the least common multiple of i and p?
9
Let x = 342 - 231. Let g = x + -129. Calculate the common denominator of ((-46)/4)/((-12)/g) and -151/18.
36
Let c = 6732/13 + -504601/975. What is the common denominator of -91/200 and c?
600
Calculate the least common multiple of ((-18)/8)/(130/(-8840)) and 513.
8721
Let p = 121457 + -121455. Suppose 0 = 5*d - 0*q + 2*q + 67, 0 = 2*d - 2*q + 38. Calculate the smallest common multiple of (-2 + d/(-2))*4 and p.
22
Let o be (-1 + -164)*9/9. Let g be ((-4)/12)/(o/(-2691)). Let v = 14291/1870 + g. Find the common denominator of -79/16 and v.
272
Find the common denominator of (92 - 87) + 19823/(-3965) and 5/2379.
11895
Let v = -747/7 - -3718/35. Let t = v - -3359/70. Let c = -4071/4 + 1033. Calculate the common denominator of t and c.
4
Find the common denominator of 167/1092 and -7 + 8 + (-6)/156*(-317)/(-18).
3276
Suppose 52 - 32 = 10*x. Suppose -f + 6 + 2 = 2*t, x*t = -4*f + 20. What is the smallest common multiple of f and 1548?
1548
Suppose m + q - 8 = 0, -q = 2*m + 2*q - 15. Let c = 1993/4 - 473. What is the common denominator of c and 14/m*112/(-64)?
36
Let p = -440 + 10447/24. Calculate the common denominator of p and (-63)/8*444/1813.
168
Suppose 78*b = 52*b + 2106. Suppose 4*q - 646 + 250 = 0. Calculate the lowest common multiple of q and b.
891
Let l be (9/27)/(1/12). Suppose -l*d + 27 = -2*m - 35, -m = -d + 17. What is the least common multiple of d and 522?
3654
What is the common denominator of 23/140 and (-774)/110 - 92/253?
140
Let u = -26949 + 28005. What is the smallest common multiple of u and 39?
13728
Let f = 2/25221 + 1790647/554862. Let a = f - -25/11. What is the common denominator of a and -6 - ((-47492)/(-3069) + -22)?
198
Let a be 3/(-2) + 28/8. Let h be (22/55)/(a/(-180)). Calculate the common denominator of 3 + 39/h + (-2)/(-3) and 17/6.
12
What is the lowest common multiple of 870 and (-5)/((17 + -14)/(-81))?
7830
Let d(w) = -w**3 + 17*w**2 + 5*w - 83. Let l be d(17). Calculate the common denominator of -37/22 and -5 + 189/180 - (l - 7).
220
Suppose 0 = -2*g + 11*g - 27. Let n(k) = -8*k - 154. Calculate the lowest common multiple of n(-20) and g.
6
Let g = -794 + 1118. What is the smallest common multiple of g and 729?
2916
Suppose 257 = 2*w - 3*f, -26*w - 131 = -27*w + 2*f. Let t = 23 - -32. Calculate the least common multiple of t and w.
605
Let a(z) = z**2 - 5*z - 6. Let h be a(-3). Sup