5*u + 96*r + 1742 = 98*r. Calculate the least common multiple of u and 580.
1740
Let q = 20/59457 + 89837827/5053845. Let h = -105448/17 - -6210. Let d = q - h. Find the common denominator of d and 35/2.
10
Find the common denominator of 2 + ((-20)/(-1))/((-26)/2) and 2 - 0 - 406/35.
65
Suppose -3*v + 8*m = -2*v - 64, -4*m - 56 = -2*v. Calculate the smallest common multiple of v and 72.
144
Find the common denominator of 10575/12408 + 6/(-8) and -71/22.
88
Let t = -29 - -33. Suppose -5 = v + t*x - 3, 8 = 5*v + 2*x. Find the common denominator of 31/10 and (v/8)/(6/69).
40
Let n be (-43612)/(-12)*7/(-4). Let h = -6356 - n. Find the common denominator of h and (-15)/(-3) + ((-15)/135)/(20/42).
60
Let n be ((-10)/15)/((-20)/450). What is the common denominator of -9 + (-38174)/(-4280) + 3/n and 79/6?
1284
Let f = 3384 + -3372. What is the lowest common multiple of 48 and f?
48
Let d = 1127/26 + -76/13. Find the common denominator of d and 65/124.
124
Calculate the common denominator of ((-9)/2016)/(2990/(-300) - -10) and 67/280.
560
Suppose 3*c + l - 7 = 3*l, 3*c - 8 = l. Suppose 2*n - 3778 = -c*n - 2*w, 4*w = 16. Suppose 4*i + n = 2034. Calculate the least common multiple of 4 and i.
320
Let i(x) = -4*x**2 + 33*x + 8. Let f(w) = w**3 - 7*w**2 + 9*w + 13. Let z be f(5). Calculate the smallest common multiple of 230 and i(z).
1840
Let g(c) = 3*c + 46. Suppose 4*t - 3*t - 3 = 0, -6 = -p - 2*t. Suppose 17*s - 14*s - 48 = p. Calculate the smallest common multiple of g(-12) and s.
80
Let j = 237/38 + -82604/13243. Let l = j + 19525/12546. Calculate the common denominator of l and ((-434)/20*1656/(-8694))/((-14)/(-3)).
315
Let m be (4/(-7)*6)/(665/(-4525192)). Let r = -23329 + m. What is the common denominator of r and 179/30?
210
Calculate the common denominator of 45/52 and (-1027)/52*(-5)/(-20).
208
Suppose 15*u = -11*u + 208. Suppose 123 = u*g - 405. Calculate the smallest common multiple of 30 and g.
330
What is the lowest common multiple of 6794/10 + (-71)/213 + (-28)/(-30) and 2720?
2720
Let v be (-720342280023239)/51144*-7 + -5. Let z = v - 98592131231. Let w = -28/2131 + z. Calculate the common denominator of w and -39/2.
24
Let r(j) = -j**2 - 107*j + 1571. Calculate the smallest common multiple of 70 and r(-120).
770
Suppose 0 = -2*g - 2*z + 354, 7*z - 11*z + 24 = 0. Calculate the smallest common multiple of g and 684.
684
Let f = -4629217/10 + 463390. Let w = 462 - f. Find the common denominator of w and -3 + 1 - (-78)/(-16).
40
Suppose 0*u + u + 167 = -p, u = -3*p - 491. Let q be -5*6*(-76)/p. Let k = -6041/270 - q. Find the common denominator of k and 67/20.
20
Let x = 32751/8 - 4101. What is the common denominator of x and (4 + (-59)/14)*6/((-2430)/(-1251))?
840
What is the common denominator of (515/(-3840))/(-7 - 15/(-2)) and -5/108?
3456
Suppose s - 20 = 2*i, -2*s - 21*i + 130 + 10 = 0. Suppose -12 = 5*v - 432. What is the smallest common multiple of v and s?
84
Let t = -340 + 620. Suppose -t = -14*s - 0*s. Calculate the smallest common multiple of 4 and s.
20
Suppose 4*m - 41*h = -46*h + 1162, 0 = m + h - 291. Let v = 302 - m. Suppose 4*r - 113 = 187. Calculate the least common multiple of v and r.
225
Suppose 2*j - 4*u = 26, -5*j + 40 = -3*u - 2*u. Suppose -a + 3*y - 20 = 0, 5*a - a - j*y + 53 = 0. What is the common denominator of a and -71/8?
8
Let f(c) = c**3 - 36*c**2 - 11*c + 428. What is the lowest common multiple of f(36) and 4?
32
Let b(s) = -s + 8. Let o(c) = -c**3 - 2*c**2 + 9*c + 18. Let f be o(-3). Suppose -13*l - 4*l + 68 = f. What is the least common multiple of b(0) and l?
8
Let b = -25955/3 - -8658. Calculate the common denominator of b and -32/159.
159
Let n be (8/56)/((-1)/(-4856)). Let z = n - 213755/308. What is the common denominator of z and 4 + 0 + 447/(-36) + 3?
132
Suppose -7525 - 9872 = -109*s + 6147. What is the lowest common multiple of 48 and s?
432
Let l(f) = f**3 - 11*f**2 - 4*f + 14. Let a be l(10). Calculate the common denominator of a/(-60)*54/14 and 33/19*-1 + 1.
190
Suppose 4*r - 434 + 106 = 0. Suppose 0 = 14*g - r + 12. What is the smallest common multiple of g and 38?
190
Let w = -331712/15 - -22110. Find the common denominator of w and -46/2935.
8805
Suppose -4*m + 34 - 10 = 0. Suppose -d - 114 = -k - 139, 4*k - 80 = -5*d. What is the least common multiple of d and m?
60
Suppose -17*c + 134 - 66 = 0. Let q = -1 - -6. Suppose r + q = 6. Calculate the lowest common multiple of c and r.
4
Let b = 15 + -9. Let z(o) = -10*o**2 - o - 9. Let t be z(-3). Calculate the smallest common multiple of (9/b)/((-9)/t) and 4.
16
Calculate the common denominator of 145/336 and (4279/(-440) - -8)*5/144.
2688
Suppose -9 = -3*p - 0*p, 2*p - 481 = f. Let x = f + 48439/102. Find the common denominator of x and -7/8.
408
Let v = -1 + 4. Suppose 2*z - v*u = 63, 4*u = -3*z + 3*u + 89. Suppose -4*c + 76 = -5*j, 4*j + z = -c + 2*c. What is the smallest common multiple of 7 and c?
14
Let g be (-1)/(-1) - (-1434960)/(-208000). Let z = g + -3/2600. Calculate the common denominator of z and (-34)/(-20) + 1 + 1.
10
Let p = -3218611/179 - -17981. Let u = -105579235 + 188986843239/1790. Let o = p - u. What is the common denominator of o and -5/8?
40
Suppose 3*j - z - 73 = 666, -4*z = 4*j - 980. Let q be 55/6*18/j. Let c = -3291/656 - q. Find the common denominator of -53/80 and c.
80
Let z(s) = s**2 - 7*s + 23. Let h be z(9). Let d(l) = -h*l**3 - l**2 + 17*l**3 + 9*l**3 + 12*l**3. Calculate the lowest common multiple of d(-2) and 4.
20
Let h = -2172883/4559568 - -13/21921. What is the common denominator of -97/32 and h?
416
Let o = -81 - -114. Suppose 0 = -4*f + o - 13. Suppose -f*q + 2*k + 94 = 0, -3*k - k = 8. Calculate the smallest common multiple of 36 and q.
36
Suppose 3*b + 5*m - 476 = -278, -2*b + 4*m + 88 = 0. Calculate the least common multiple of 816 and b.
5712
Let f(x) = -x + 4. Let p = 12 + -12. Suppose 2*m = 3*g + 5, 3*m + 2*m - 4*g - 16 = p. What is the least common multiple of f(3) and m?
4
Let c = 41427 - 13422307/324. What is the common denominator of c and -67/480?
12960
Suppose 3*q - 7*q + 408 = 0. Suppose 0 = -x - 5*p - 181, -6*p + 3*p = 2*x + 383. Calculate the lowest common multiple of q and (-46)/(-115) - x/10.
1020
Let z = 117292055/207 - 566649. Let d = -19/388 - -7813/80316. Let u = d + z. What is the common denominator of 8/5 and u?
15
Let h be (-47)/(-564) - 714337/12. Let l = -10298299/173 - h. Calculate the common denominator of 30 and l.
173
Let v = 110237/8 + -13783. Let u = 72903/57028 + 5/1076. Let c = u + 3113/424. Calculate the common denominator of v and c.
8
Let d(a) = -a**2 + 11*a - 14. Let y be d(9). Let b be 5396/(-21712) - (-1)/y. Let l = b + -202229/24426. Calculate the common denominator of 59/16 and l.
144
Suppose 0 = 5*y - 10, 3*y = -3*f - y + 17. Suppose -l = -f*l + 54. Let w = 7226 - 7205. Calculate the least common multiple of w and l.
189
Let f(t) = -345*t - 11357. Calculate the lowest common multiple of f(-41) and 68.
2788
Let u = -1/616 - 1501/308. Calculate the common denominator of (-3)/(-2)*(5 - 10040/2640) and u.
88
Let z = 1005422 - 1005410. Let n be 10/(2 - 0)*7. Let p = 65 - n. Calculate the least common multiple of z and p.
60
Let x = -14342/19 - -1804451/2394. What is the common denominator of x and 101/30?
630
Let k be (3/9)/(3 - (-1772)/(-591)). Let u = k + -189. What is the lowest common multiple of 3 and u?
24
Suppose -2*k = -0*k - 5*a + 4, -1 = 3*k - 5*a. Suppose -k*h = i + 2*h - 5465, -2*i + 10921 = h. What is the common denominator of i/160*2/9 and -73/10?
60
Suppose 645 = -7*j + 2*j - 3*y, -4*j - 553 = -5*y. Let p = j + 164. Calculate the lowest common multiple of p and 36.
288
Let o = 86580004/15 - 5768860. Let i = o - 3139. Calculate the common denominator of 43/24 and i.
120
Let v be ((-143)/(-52))/((-3)/(-12)). Find the common denominator of (340/32 - v)/((-54)/136) and 85/24.
72
Suppose 5*y - 1268 = 227. Suppose 64 = 303*f - y*f. Calculate the smallest common multiple of f and 24.
48
Let y = 38 + -40. What is the common denominator of ((-3)/15)/(3486/(-1725) - y) and ((-968)/16)/(12/2)?
12
Let s = 11457 + -6019. Let v = 81623/15 - s. Calculate the common denominator of -67/21 and v.
105
Let a = 87821/8264 - 2/1033. Let h be 17/(-34)*-10 - (-58457)/(-4