7*f**4/24 + 385*f**3/6 + 2*f**2 - 36*f. What is the smallest common multiple of c(19) and 20?
620
Calculate the common denominator of 97/20 and ((8 - (11 + -4))/(-187))/(2*-1).
3740
Let r = 151 - -385. Suppose -3*s = 3*n + s + r, -183 = n - 3*s. What is the common denominator of 978/n + 2/(-20)*-2 and 18/11?
330
Let u = 3330 + -3249. Calculate the smallest common multiple of u and 108.
324
Let z = -5262 - 5433. What is the common denominator of 64/21 and 12/2 - z/(-2484)?
252
Suppose -195 = -5*i - 5*m, -2*i + 20 + 46 = -m. What is the smallest common multiple of 567 and i?
2835
Let h(w) = 11*w - 124. Let c be h(10). Let s = 18 - 32. Calculate the common denominator of (-38)/(-133)*11/c and s.
49
Let m be (2 + 47/3)*18/(-6). Let i = m + 57. Suppose 0 = -9*t + i*t + 90. What is the smallest common multiple of 64 and t?
576
Suppose 99*h - 245*h = -6132. What is the lowest common multiple of 1 - (-1 + 1*-5) and h?
42
Let b be 6/8 - 28101/12. Let h = -16360/7 - b. Let a = -24358 + 925617/38. What is the common denominator of a and h?
266
Calculate the common denominator of (8 + 3730/(-405))/(-4) and 139/72.
648
Suppose -173 + 52 = -11*g. Find the common denominator of -57/10 and (-19 - -9) + 12 + (-61)/g.
110
Find the common denominator of (-29)/(14094/144)*(-9)/(-42) and 85/42.
126
Let c(j) = j**3 + 5*j**2 + 2*j - 12. Let y be c(-3). What is the least common multiple of 250 and (-2)/(y + -2) + (8 - -7)?
2000
Let k = 2/15479 + 417709/1733648. Find the common denominator of k and 139/70.
560
Let n = 3733/5628 + -75/938. Calculate the common denominator of (6/(-88))/((-21)/238) and n.
132
What is the common denominator of (3 - 33739/2808) + (-387)/(-43) and 133/156?
2808
Find the common denominator of -121/6 and (-8)/(-124) + 2411/15004.
1452
Suppose o = -b - 5, 4*o + 6 = b - 9. Calculate the common denominator of (b/54)/(1 - 88/78) and 149/18.
90
Let m = -556581421/224 - -17561118/7. Let t = m - 23990. Calculate the common denominator of 79/32 and t.
32
Let v(f) = -3*f - 12. Let c be v(-8). Suppose 0 = -d - 2*d + c. Let x(z) = -z + 10. Calculate the least common multiple of x(4) and d.
12
Let c = 431 + -637. Let z = c + 212. Suppose -4*f = u - 106, 8*u = 4*f + 3*u - 118. What is the smallest common multiple of z and f?
54
Let n(d) = 2*d**3 + 4*d + 3. Let w be n(-1). Calculate the smallest common multiple of 26 and (w/18*-2)/((-17)/(-153)).
78
Let p be 1*(304*1 - 1) + -3. What is the common denominator of -157/30 and -4 - (-2 + -1)/(p/246)?
150
Suppose 31 = -6*m - 41. What is the smallest common multiple of 60 and (90/m)/(1*(-1)/2)?
60
Let h(y) = y**2 + 19*y + 2. Let g be (481/2)/(-13) + 1/(-2). Let j be h(g). Let b = 10 - j. What is the least common multiple of 8 and b?
8
Find the common denominator of (-400)/(-56) + -8 + (-2255)/(-630) and 33/40.
360
Suppose -5*s + 10 = -5*f, 3*f = -5*s + f + 38. Suppose -i = -28 + s. What is the lowest common multiple of 38 and i?
418
Let x(r) = r**2 - 2*r + 3. Let h be x(7). Suppose 0 = -4*w + h + 26. Calculate the common denominator of -44 and 6/(-4) - (-50)/w.
8
Let p = 4591/4 + -1159. Let r = 6/8237 - 436579/24711. Find the common denominator of p and r.
12
Let b(f) = -26*f + 4495. What is the lowest common multiple of 714 and b(167)?
2142
Let h = 61/82 - 12893/17056. What is the common denominator of h and 107/44?
4576
Let h = -36345 + 2362476/65. Calculate the common denominator of h and 19/104.
520
Suppose -5*v + 56 = 11. Suppose 125 = v*d - 10. Calculate the smallest common multiple of 17/(-119) - (-128)/14 and d.
45
Suppose 5*g + 3052 = -3*z, -2*z + 0*g - 2034 = 3*g. Let n = -15166/15 - z. What is the common denominator of n and 58/39?
195
Calculate the common denominator of (12/80)/(360/(-5050)) and 4/18 + (-2121)/(-4914).
624
Let w = 467/1775186 + -3/2086. Let b = 34029/9361 - w. Calculate the common denominator of b and -53/16.
176
Suppose -4*k + 69 = -5*f, -4*k = -0*k - 3*f - 75. What is the lowest common multiple of (-3 - (-57)/k)/(6/(-84)) and 3/(1 - (-19)/(-22))?
44
Suppose 0 = -5*s + 3*u + 8730 + 1620, -3*s + 3*u + 6216 = 0. Suppose -s - 657 = -6*n. Calculate the smallest common multiple of 2 and n.
454
Let b = 2363891/98 + -24122. What is the common denominator of b and (-4)/(-10) - ((-5)/(-55) - (-78273)/17820)?
588
Let m(d) = 2*d**2 + d + 1. Suppose 3*q + 1164*r = 1160*r + 137, -5*q - r = -183. Calculate the least common multiple of q and m(-2).
35
Let u be 6/4*252/(-27). Calculate the least common multiple of (-80)/(-35) - 4/u*-1 and 14.
14
Let f = -665 + 743. Calculate the smallest common multiple of f and 15.
390
Suppose -8*l + 3*l + 5*o + 410 = 0, l - 3*o = 86. What is the lowest common multiple of 296 and l?
2960
Let f = 12630 - 303109/24. Find the common denominator of -32/5637 and f.
45096
Let k = -60 + 54. Calculate the common denominator of -52/35 and 62/(-8)*k/(-90)*4.
105
Let m = 27168/11 + -816173/330. What is the common denominator of m and 64/141?
1410
Let l = 105 - 92. What is the least common multiple of 2 and (-2)/4*l/((-91)/28)?
2
Suppose x = -5*u + 2 - 6, 5*x = 5*u + 10. Let o = 11011/15804 + -1/439. Find the common denominator of o and -2 + u/(14 + 2).
144
Suppose n - 452 = -q, 3*n + 2217*q - 2220*q = 1380. What is the least common multiple of n and 34?
7752
Suppose -3*m + 4*h = -8*m - 2001, -m - 399 = 2*h. What is the smallest common multiple of -4 - -2 - (m + (-3 - 3)) and 18?
810
Let b(l) = 4092*l + 5. Suppose 6 = -4*h + a, 3*h + 13 = -2*h + 4*a. Let r be b(h). Let w = r - -61223/15. Calculate the common denominator of w and 91/12.
60
What is the common denominator of 53/2 and (14/20)/(398*(-8)/96)?
1990
Suppose 31*c - 33*c - 214 = -2*p, 3*p + 2*c - 336 = 0. What is the least common multiple of p and 140?
1540
Find the common denominator of 9/18 + 438/(-24) and -71/1086.
2172
Let p = -8047 + 8053. Let q be (-4)/14 + 486/(-14). Let j = q + 49. What is the smallest common multiple of p and j?
42
Let i = 296 - 292. Suppose 6*y - 3*y = -i*r + 16, 4*y = -4*r + 16. Let d(q) = q**3 - 12*q**2 + 14*q - 13. Calculate the smallest common multiple of d(11) and r.
20
Calculate the least common multiple of 2118 and (-102 - -99)*(-15532)/12.
23298
Calculate the common denominator of -7*(1 + 0) + ((-238711)/(-21725) - 4) and 81/250.
19750
Let l = -7761601/8941392 + -1/372558. What is the common denominator of 73/1278 and l?
10224
Let b = -1148 + 1628. Suppose 5*x + b = 50. Let h = -111/2 - x. Calculate the common denominator of h and -43/14.
14
Let b be 13/((-4)/(-5 + 1)). Suppose -3*y + 2*o = -b + 4, -y + 3 = o. Calculate the lowest common multiple of y and (-3 - (-20)/6)/(4/12).
3
Suppose 1 = 5*q - 14. Calculate the common denominator of ((-176)/20)/(-11) - (-3058)/(-1760) and 9*2/(-16)*q.
16
Let v be 0/(5/((-15)/6)). Let j = 1456 + -1258. Suppose v = 17*q - j - 210. Calculate the lowest common multiple of 21 and q.
168
Let l(s) = s**2 + 2*s - 6. Calculate the least common multiple of -69*(284/2414 - (-72)/(-34)) and l(-5).
414
Let r(b) = 19*b**2 + 4*b + 3. Let q be r(-3). What is the common denominator of q/(-12)*11/3 and 50/22 + -2 - (-28067)/(-4862)?
2
Suppose -7 = -8*y + 57. Calculate the common denominator of -65/38 and (((-39)/(-3))/39)/(y/126).
76
Let i be 1/3 - (-1250)/30. Let k = i - 41. Let t(n) = n - 7. What is the smallest common multiple of t(9) and k?
2
Let m be ((-2309)/(-10989))/(132/45 - 3). Let t = m + -10/333. Find the common denominator of (3/18)/((-1)/152) and t.
33
Let b(k) = k**3 + 21*k**2 - 9*k - 9. Let h be b(-22). Let z = -243 - h. Calculate the lowest common multiple of z and 6.
156
Suppose 0*p - 320 = -g - 4*p, -1600 = -5*g - p. Calculate the least common multiple of 640 and g.
640
Suppose -3*x + 2*m - m + 2192 = 0, -4*x + 3*m + 2926 = 0. Calculate the common denominator of x/36*(-16)/(-40) and 2/33*114/(-76).
99
Let t(w) = w - 1. Suppose -9*d = -5*d - 8. Suppose 20 = d*n + 3*n. What is the lowest common multiple of t(21) and n?
20
Let q = -246 + 261. Let r(n) = n**3 - 10*n**2 + 11*n - 3. What is the lowest common multiple of -3 + q - (-10 + 10) and r(9)?
60
Let a be 25/(3*6/72). Suppose -a = -68*t + 63*t. Calculate the least common multiple of 8 and t.
40
Let f be (1 + 7693/(-7700))/(30/(-4)). Let r = f - -49088/4125. What is the common denominator of 