23/22 and m.
528
Let w be 1/(((-8)/12)/(8/6)). Find the common denominator of (-1020)/(-105)*(42/9)/w and -35/3.
3
Let m be 0/(-1 + 54/9). Suppose m = 3*b - 12, -b = -5*v + 41 + 135. Let y = 50 - 26. What is the least common multiple of v and y?
72
Let r(d) = 2*d**2 - 19*d - 70. What is the smallest common multiple of r(-10) and 368?
7360
Let s = 283817/391524 - -6/4661. Find the common denominator of s and -29/276.
1932
Let v be 3*((-12)/16 + 2182/(-24)). Let s = -163 - v. Suppose 0 = -4*j + n + 71, -j + 11*n - 6*n = -13. Calculate the smallest common multiple of j and s.
1008
Let y(m) be the first derivative of 125*m**3/3 - m**2 + m - 19. Let i be y(-2). Let p = 10163/20 - i. Find the common denominator of -11/4 and p.
20
Let j = -17843/9 + 1988. Let c = -25236031/1663 + 15175. Let a = c - -191281/9978. What is the common denominator of a and j?
18
Let x(r) = 152 - 184*r + 89*r + 96*r. Calculate the smallest common multiple of x(-38) and 6.
114
Let a = -108 - -97. Let g(k) = -6*k + 13. Calculate the least common multiple of 1 and g(a).
79
Let l(j) = 46*j**2 - 781*j - 11. Suppose -w + 27 = 4*v - 9, -4*v + 148 = 3*w. Calculate the least common multiple of l(17) and w.
168
Let z = -9363 - -9383. Let h(p) = 3*p**2 + 2*p - 2. Calculate the least common multiple of z and h(2).
140
Suppose 4*k - 3*y + 44 = -43, -k = -2*y + 28. Calculate the common denominator of 97/6 and (-2)/k*3 + (-218)/(-36).
18
Suppose 4*a - 2164 + 808 = 0. Let p be (a*(-632)/(-140))/(-244). Let o = 12/427 - p. What is the common denominator of o and -7/3?
30
Calculate the common denominator of 145/168 and 537*6/54*9/(-540).
2520
Suppose -b + 65 = -3*i + 14, 5 = -i. Suppose -3*u = t - 48, 25 = 4*u - 4*t - 39. What is the lowest common multiple of u and b?
144
Let h be (-3)/6 + (-1830)/(-3730). Let d = h + -14343/1865. Find the common denominator of -25/28 and d.
140
Let b(p) = -9*p**2 + 4*p + 4. Let r be b(-1). Let z = 51 - 22. Let g = z + r. What is the lowest common multiple of g and 4?
20
Let k = 6212 + -124169/20. Let j = 9 - -2. What is the common denominator of (-15)/6*9/j and k?
220
Let f = -118932 - -26759651/225. Let u = 287 - 312. Calculate the common denominator of u and f.
225
Let t(l) = l - 9. Suppose 100*v = 91*v + 324. Calculate the least common multiple of (4/1)/(6/v) and t(12).
24
Suppose -6*w - 162 = -30*w + 126. Let v(i) = 2*i**3 - 8*i**2 + 2*i + 4. What is the lowest common multiple of v(5) and w?
192
Let d = 12172 - 11332. Calculate the lowest common multiple of 735 and d.
5880
Let f be (-1048)/(-6)*3/(-10). Let h = f - -41. What is the common denominator of h and (-6)/(-10) + ((-2303)/(-35))/(-7)?
5
Suppose -151*r + 2052 + 968 = 0. Calculate the least common multiple of 22 and r.
220
Let z = -546539/270 + 18215/9. Find the common denominator of z and -33/14.
1890
Let k(z) = z**3 - 11*z**2 + 20*z + 10. Calculate the smallest common multiple of k(9) and 39/(-91) - (404/(-28) - 4).
252
Let y = -123 - -129. Calculate the lowest common multiple of -264*(-12)/8*4/y and 6.
264
Let g = -50488 + 50496. Calculate the least common multiple of -1 + 402 - (-2)/2 and g.
1608
Calculate the smallest common multiple of 330 and -20*(-15)/(15/11).
660
Let g = -1532/105051 - -59056714139/1260612. Let z = g - 46851. What is the common denominator of z and -69/16?
144
Calculate the common denominator of 78/(-232)*(-4)/6 and (-38 - 44373/(-1155))*(26/4 - -1).
638
Let q(p) be the third derivative of -p**4/24 + 3*p**3 - 38*p**2. Calculate the smallest common multiple of q(10) and 16.
16
Let l = 422609/1670301 + 3/41242. Find the common denominator of -145/1134 and l.
1134
Let u = -79/53 + 5761/1696. What is the common denominator of 15/74 and u?
1184
Calculate the lowest common multiple of -1*1 + 7 + (-53 + 1587 - -2) and 12.
3084
Let g = 62/33 + -1973/1056. Calculate the common denominator of (-828)/144 - -4 - 238/40 and g.
480
Let j = 108 + -70. Suppose -140 = 5*l + 2*l. Let f = l + j. Calculate the lowest common multiple of f and 54.
54
Suppose 5*b + 3*t = 95, 3*b + 0*b - 91 = 5*t. Let s(w) = w**3 - 22*w**2 + 4*w - 77. What is the smallest common multiple of 110 and s(b)?
110
Let y = -23341/7 + 346787/104. What is the common denominator of -131/624 and y?
4368
Let l(s) = -31*s**2 + 513*s - 20. Calculate the least common multiple of 2324 and l(16).
20916
Let z = -7423 + 9468. Calculate the lowest common multiple of z and 35.
14315
What is the common denominator of (183444/(-13107) - (-64 + 50))/(2/(-3)) and 67/68?
17476
Let l = 6 + -2. Suppose 30*m - 325 = 155. What is the least common multiple of m and l?
16
Suppose 0 = -3*p - 6, 4*m - 13*p - 18 = -8*p. Calculate the lowest common multiple of 928 and m.
928
Let x = 863883 - 818960941/948. What is the common denominator of 73/316 and x?
948
Let n be (-3 + 4)*(-8 - -5). What is the common denominator of 27/(-44)*(-8)/n and -7/3?
33
Calculate the lowest common multiple of (2 - -384) + (-27)/(378/56) and 955.
1910
Find the common denominator of (-1875)/(-450)*2/(-14) and 53/1488.
10416
Suppose -3*p + 36 = 2*b - 5*b, -50 = -4*p + 5*b. Let n(f) = -f**3 + 12*f**2 - 19*f + 4. Calculate the smallest common multiple of 106 and n(p).
742
Let z be 60*(15/14 - 28/49). Calculate the common denominator of (6/(-28))/(27/(-429)) and (1/3 - 15/z)/3.
126
Let b = 526048 + -1202545763/2286. What is the common denominator of -43/26 and b?
29718
Let c = 4380 + -4330. Calculate the smallest common multiple of c and 1 - (0 - -3) - -10.
200
Suppose -14*i + 39 - 128 + 1629 = 0. Calculate the least common multiple of i and 308.
1540
Suppose 35*n = 29*n - 48. Let g = 6976/1131 - 1/754. What is the common denominator of (4/n*-110)/(-8) and g?
24
Let i = 1125 + -1159. Let p = 0 - -6. Calculate the common denominator of (i/p)/(91/52) and 137/24.
168
Let u = 1/52565 - 6046031/55508640. Find the common denominator of -109/576 and u.
6336
Let i = -2173/12 + 3853/21. Calculate the common denominator of i and 25/440*404/(-10).
308
What is the common denominator of (41/(-2) - -10)*44/(-300) and -31/22?
550
Suppose 16*c - 1418 - 6166 = 0. Calculate the lowest common multiple of 39 and c.
6162
Let y = 77766029/5880 - 105803/8. What is the common denominator of y and 24/13?
9555
Let v(f) = -f**2 + 20*f - 14. Let j(z) = -3*z**2 + 61*z - 40. Let w(g) = -6*j(g) + 17*v(g). What is the smallest common multiple of 53 and w(26)?
106
Suppose 4*y - 70 = -s - 0*s, -66 = -4*y + s. Let v = y + -3. Suppose 6*t + 480814 - 480838 = 0. Calculate the lowest common multiple of t and v.
28
Suppose -3*s - p + 127 = 0, 0 = 2*s - p - p - 98. Let q = s + -24. What is the common denominator of ((-74)/q)/(48/(-64)) and -127/12?
60
Let p(i) = -162*i + 498. Calculate the smallest common multiple of 63 and p(3).
252
Let f = 2598 - 1767. Let d = 839 - f. What is the lowest common multiple of 46 and d?
184
Let o = -5682 - -158993/28. Let s = -24468587/12 + 18473913343/9060. Let q = s + -312/151. What is the common denominator of o and q?
140
Let g = 9163 + -4123. What is the lowest common multiple of g and 20?
5040
Let d(a) = 7*a - 31. Let f be d(5). Suppose 4*s + 132 = 4*z, -f*z - 2*s = -2*z - 62. Let h(p) = -2*p. Calculate the smallest common multiple of h(-6) and z.
96
Let l be (5 - 56299/100) + -7. Let t = 565 + l. Find the common denominator of t and -121/80.
400
What is the common denominator of ((-16)/(-2) - 68/16)/((-618)/(-4)) and -27/2?
206
Let g = 27613/6 - 4618. Calculate the common denominator of 10 + (90/150)/((-9)/55) and g.
6
Let h be (39/5)/((-18)/(-12)). Let u = -503/40 + h. Calculate the common denominator of u and 1/(-4)*(-129232)/24428.
248
Calculate the common denominator of 1 + 6916/1168 - (-9 + (-5 - -21)) and -47/12.
876
Let m be 7*1/14*(-1 + -9). Let d be 0 - m/(-15) - 37/(-3). Calculate the common denominator of (d/(-306))/(4/246) and -55/2.
34
Calculate the common denominator of (1222/(-195))/(4/(-5)) and (2/(-3) + -1)/(120/(-460)*1).
18
Let v = 120028443/16 + -7508068. Let s = -6294 - v. Find the common denominator of s and -4*(-2)/(-84) + (-3419)/(-3682).
48
Calculate the common denominator of 0 + -8 + 3 - 18753/(-4446) and -17/48.
624
Let l = 36129 + -33924. Calculate the lowest common multiple of l and 5355.
37485
Let o = 8052 - 8014. Suppose -4*f = -7*f + 6. S