c - g*c = 30. Calculate the smallest common multiple of c and 39.
390
Suppose 0 = -11*a + 20*h - 16*h + 208, -75 = -3*a - 5*h. Let z(x) = 3*x**3 + 2*x**2 + 3. What is the lowest common multiple of z(3) and a?
1020
Let b be (52 - 1) + -2 - (-64)/(-16). Calculate the lowest common multiple of 6760/75 + (-6)/b and 3.
90
Let k = 71351 + -5708163/80. Calculate the common denominator of k and 577/(-80)*1 + (-476 - -507) + (-125)/5.
80
Let s = -49812 - -1992591/40. Calculate the common denominator of 0 - ((-69)/(-12) - 3) and s.
40
Suppose z + 3*d + 21 = 0, -3*d + 6 = -9. Suppose -25*a - 72 = 11*a. What is the least common multiple of 2*(a + z/(-32))*-4 and 4?
28
Let x = 9275 - 9197. Calculate the least common multiple of 598 and x.
1794
Let h = -9949 + 278535/28. Let c be (2 + 0 + 1)*(-4)/(-6). Find the common denominator of h and 3668/(-880) + (-72)/33 + c.
140
Suppose 15*j = 17*j - 4. Suppose 237 = -5*k - f, j*f = -k - k - 90. Let v = 72 + k. What is the smallest common multiple of v and 12?
24
Suppose -819 = -r - 4*c, 2457 = 4*r - r + 3*c. Calculate the least common multiple of 429 and r.
9009
Let w be 1*8*(-4)/16*11. What is the common denominator of (-11 - -12)/(w/98) and 78/12 - 0/1?
22
Let h = -414 - -442. Let m(l) = -5*l - 2. Let u be m(-2). Let x = h - u. What is the least common multiple of 44 and x?
220
Let o = -16931/12 - -1408. Let l = 550517/12 + -132971/3. Let t = l - 155469/100. Calculate the common denominator of o and t.
300
Let i be 0 - (-78)/(-18) - (-2)/6. What is the common denominator of 101/16 and (-1023)/(-1764) + i/6?
784
What is the common denominator of (64 - 5)/(3 + -134 - 2) and 37/19?
133
Suppose 177*f - 108288 = 81*f. Calculate the least common multiple of 282 and f.
1128
Find the common denominator of 8/(-72)*429/(-5346) and 47/1539.
27702
Let a(m) = 18*m**2 + 5*m + 6. Let h be a(-2). What is the common denominator of 133/12 and h/(-8)*-1*(-6)/4?
12
Let v = 10/579 + 133/3474. Find the common denominator of 43/405 and v.
810
Suppose v - 94 = 3*r, -21*v = -23*v - r + 174. What is the lowest common multiple of v and 8?
88
Suppose 245*h - 4355 = -925. What is the smallest common multiple of 514 and h?
3598
Find the common denominator of ((-22)/80)/(2/22) and (-2840)/(-14200) + 649/(-120).
120
Let f(t) = t**3 + 6*t**2 - 31*t - 29. Let j be f(-9). Find the common denominator of j/(-14) + (-129)/(-52) and 4/10 - (-327)/20.
52
Let y = -17 - -24. What is the lowest common multiple of 88 and (-77)/(-2)*(y - (15 + -10))?
616
Let u be (13 + 2)*(6/9)/2. Suppose -3*v = 4*i - 7, -v = -u*i - 14 + 37. Suppose -4*z = i*z - 80. What is the smallest common multiple of 9 and z?
90
Suppose 2*m = 37 + 11. Suppose 111*f = 183*f - 1728. Calculate the least common multiple of f and m.
24
Suppose 9*b - 4284 - 2058 = 2*b. Calculate the smallest common multiple of 117 and b.
35334
Let u be ((-6)/(-2))/(-3 + 330336/110118). Let t = u - -440545/24. What is the common denominator of t and -95/48?
48
Let d = 32786707183/10530420372 + -85/1374908. Let o = d + -2/851. Calculate the common denominator of 143/72 and o.
72
Calculate the common denominator of ((5 - -1) + 30537/(-5103))*747/(-6) and 4/14 + 471/(-252).
84
Let j be (-3 - 1)/((-231)/(-440062)). Let i = -7619 - j. Find the common denominator of -28/3 and i.
33
Let h(q) = q**3 + 18*q**2 + 11*q - 40. Suppose -w + 3*u = 20, 25 - 75 = 3*w + u. What is the lowest common multiple of 14 and h(w)?
434
Let h be ((-20)/(-8))/((-2)/4). Let o be (-2)/h*(1 + 44) - -2. Suppose 13*i - 18*i = -o. Calculate the least common multiple of 5 and i.
20
Suppose 5*j - l = -0*l + 29, 19 = 4*j - 5*l. What is the least common multiple of (128/28 - j)*-7 and 2?
10
What is the lowest common multiple of 6/27*6318/26 and 804?
7236
Let r be (2 + 13)*6/(-5). Let i = -16 - r. Suppose 4*w - 3*w + 8 = 5*k, -i*k = 4*w - 34. What is the least common multiple of 3 and w?
21
Let p be (-10)/((-50358000)/(-7078938)) - (-2)/7. Let n = p - -12/1199. What is the common denominator of 41/20 and n?
100
Suppose 3*l = -6, -122*s - 5*l - 112 = -125*s. Calculate the lowest common multiple of 3458 and s.
58786
Suppose -4*a = -3*m + m + 2, 4*a = -2*m + 10. Let v be (-63)/(-6) - (-69)/46. Suppose -43*n = -40*n - v. What is the least common multiple of n and a?
4
Let q = 386 + -378. What is the common denominator of 91/96 and (-10)/100*510/q?
96
Suppose 4*m - 296 = -4*d, -d - 4*m = -2*d + 89. Suppose -8*b + 19 + d = 0. Calculate the smallest common multiple of 12 and b.
12
Let f = -1135 + -769. Let v be 617*4/f*2. Let w = v - 98/17. Calculate the common denominator of 27/40 and w.
280
Suppose 4*v + 14161 = 2*w - 351, 0 = -v - 4*w - 3619. Let r = 145019/40 + v. Calculate the common denominator of r and 31/45.
360
Let m = -3731 - -3747. What is the lowest common multiple of m and 354?
2832
Let a(m) = 11*m**2 + 31*m + 63. Calculate the lowest common multiple of 53 and a(-2).
2385
Let d be (((-1020)/25)/(-6))/((-1)/10). Find the common denominator of 3 - -2 - (-289)/d and 405/100 + -1 + 3.
20
Let s(i) = -i**2 - 13*i - 16. Let x be s(-13). Find the common denominator of (18/60)/(3/(-109)) and (78/x)/((-9)/(-12)).
10
Suppose 26*f = 5*t + 24*f - 160, f = -4*t + 115. What is the smallest common multiple of 294 and t?
1470
Let h be 4/16 + 29/(-4). What is the common denominator of 131/48 and (-4)/h*(-28)/6?
48
Let w = -4039 + 4050. Calculate the least common multiple of 1165 and w.
12815
Calculate the common denominator of 300/60 + -299*4/144 and 95/1554.
9324
Suppose -5*y + 6*o - 4*o + 690 = 0, -5*o = y - 165. Let r = 571267/104664 + 1/4361. Calculate the common denominator of 1/(-12)*(-9 + y) and r.
24
Let x(l) = 44*l + 12. Let a be x(4). Suppose -c + 182 = -0*c + 2*i, -a = -c - 4*i. What is the least common multiple of 88 and c?
176
Let c be (-9)/((-1809)/4)*(-12)/(-200). Let o = -72043/15075 + c. Find the common denominator of o and 23/75.
225
Let q(r) = -r**3 + 44*r**2 + 4847*r - 172. Let w(s) = s**2 - s + 57. What is the smallest common multiple of q(95) and w(0)?
342
Let i = 7 - 26. Let j = 37 + i. Let l(d) = -29*d + 242. What is the smallest common multiple of j and l(8)?
90
Let d = -2/2937 - -55819/23496. Find the common denominator of d and (-6)/(-24)*950/(-646).
136
What is the common denominator of 7/(-420)*-9*58/12 and -145/1968?
9840
Suppose -5*r - 9466 = 2944. Let j = -29725/12 - r. What is the common denominator of j and 21/298?
1788
Let h = -75796940971 + 14401459879681/190. Let v = 216290 - h. Calculate the common denominator of ((-116)/16 - -3)*(-658)/(-141) and v.
570
Suppose -2*q + 120 = 2*q. Find the common denominator of (9/q)/((-180)/1675) and 145/96.
96
Let f = -1178167524295361/510779394 - -154/28376633. Let k = -2307776 - f. Let d = 2327/2 + k. Calculate the common denominator of -34/9 and d.
9
Let a = -630016 + 179556674/285. Let w = a + -58/57. Find the common denominator of w and 44/(-30)*27/(-90).
25
Let h = -39969/1433644 + -31/2908. What is the common denominator of 50/(-325) - (-1796)/(-156) and h?
1479
Let r = -50889 + 20864509/410. Calculate the common denominator of r and ((-87 - -87)/(3/((-3)/(-2))))/4.
410
Let q = -166 + 282. What is the common denominator of ((-2952)/(-320))/(-3) + 5 and q/(-6) + (-26)/(-39)?
120
Let u = -2185778/99 + 22078. Find the common denominator of -43/6567 and u.
19701
Let s = -116 - 99. Let o = -204 - s. What is the lowest common multiple of o and 14?
154
Suppose 3*r = -5*n + 313, -3*r = 5*n - n - 251. Suppose 1918 + 1470 = 14*q. Suppose 247*f - q*f - 90 = 0. What is the least common multiple of n and f?
558
Let p(k) = 2*k**3 + 17*k**2 + 6*k - 11. Let a be p(-8). Find the common denominator of -107/24 and 248/(-324)*a/(5/(-3)).
216
Suppose -4*k - 130 = -110. Calculate the common denominator of (22/k)/(12/30) and 12/(-42) + (-1226)/(-28).
2
Suppose -13*l = -10*l + 69. Suppose n + 3 = 0, 5*n - 141 = -19*y + 23*y. Let b = l - y. What is the least common multiple of b and 34?
272
Let d be 1940/100 + 6/(-15) + 8. Let j(i) = -i**3 + 6*i**2 + 8*i - 3. Let x be j(6). Calculate the smallest common multiple of d*3*10/x and 40.
360
Let z = -86 + 146. Let k(r) = -18*r + 1239. Calculate the least common multiple of z and k(67).
660
Suppose 3*m - 20 - 25 = 0. Let u = m + -5. What is the least common 