ator of (1239/(-8850))/(2/15) and 97/306.
3060
Let p be 4/(-1 - 55/(-65)). Find the common denominator of p/156*(-1 + 2)*34 and 61/20.
60
Suppose -4*y = -4*c + 240, 0*c - 177 = -3*c + 4*y. What is the lowest common multiple of (8 + -20)*240/(-96) and c?
630
Let x = 272529126/7 + -9794725495/252. Let w = -64770 + x. What is the common denominator of 41/54 and w?
108
Let u(r) = -16*r**2 + 64*r - 1. Let c be u(7). Let h = -272 - c. What is the least common multiple of h and 11?
715
Suppose 19*q = 24*q. What is the common denominator of (((-15)/10 + q)*-19)/(-33) and 117/80?
880
Suppose -v = 5*o + 11, -4*v + 5*v = -2*o + 1. Calculate the lowest common multiple of 2358 and v.
2358
Let k = -926 + 928. Calculate the least common multiple of 32 and k.
32
Let k = 9253 + -7486. Calculate the smallest common multiple of 6 and k.
3534
Let o(c) = 7*c**2 - c + 134. What is the smallest common multiple of o(-13) and 6?
3990
Let s be (-24 - -22)/(-1 + (-2)/(-4)). What is the common denominator of s/22 - (-6409)/5104 and -7/10?
80
Let j = -3979/1022 + 60/73. Find the common denominator of (-1 - (-23)/22) + 4 and j.
154
Suppose -5*d = 4*j - 712, 136 = d - 7*j + 11*j. What is the least common multiple of 144 and d?
144
Let p = 32458 - 29356. What is the least common multiple of 33 and p?
3102
Let o = 389 - 312. Suppose 93*r - o*r - 384 = 0. Let c = 56 - 20. Calculate the smallest common multiple of r and c.
72
Let v(y) be the first derivative of -y**4/4 - 13*y**3/3 - 11*y**2 + 9*y + 6. Calculate the lowest common multiple of 45 and v(-11).
45
Let b be 81/(6 + 119/(-21)). Suppose -5*g + b = 3*i, -2*i - 21 = 2*g - 119. Calculate the smallest common multiple of g and 18.
144
Calculate the common denominator of (5 - 2331/540)/(-1 - 42/(-18)) and 3/40.
80
Let l be ((-36)/(-90))/(1/15). Let i be 18/(-12)*(0 - 16/l). Find the common denominator of i/((-160)/174) + 0/(-2) and 89/10.
20
Suppose -2*w - 110 = -t - 0*t, 0 = 3*t + 3*w - 366. Suppose -13*l + t = -12. What is the smallest common multiple of 198 and l?
990
Let i be (-1)/((-6)/(18*93)). Let m = -268 + i. What is the least common multiple of 12 - (2 - 2) - 2 and m?
110
Let h = 5923/750 + -333/125. Calculate the common denominator of 78*1/(-4)*28/(-700) and h.
150
Let m(w) = 517*w - 1482. Calculate the lowest common multiple of 1215 and m(6).
4860
Let y = -13/18 - -209/252. What is the common denominator of 51/956 and y?
6692
Let q = -54490 - -45553623/836. Calculate the common denominator of -97/76 and q.
836
Let h(y) = -6*y**3 - 28*y**2 + 11*y + 11. Suppose -4*o - 63 = -5*k, -8*o + 13*o - 34 = -4*k. Calculate the smallest common multiple of h(-5) and k.
66
Let a = 4032/13 - 181934/585. What is the common denominator of a and -101/5076?
25380
Let o be ((-114)/(-817))/((-30)/4). Let l = o - -1187/6020. Find the common denominator of l and -83/12.
84
Let x = 112 - 100. Suppose p - 165 = -4*j, -203 = -5*j + 2*p - 13. Let v = -10 + j. What is the smallest common multiple of v and x?
60
What is the common denominator of -19/117 and (-5)/(20/8) + (-425)/(-360)?
936
Let p(c) = 1812*c + 51. Let s be p(10). Find the common denominator of -83/6 and (s/582)/(-9) - -3.
582
Let j = 3995 + -3989. Calculate the least common multiple of j and 28.
84
Suppose 4*i + 30 + 10 = 0. Let m = 34 + i. Suppose -m = -5*g + 31. Calculate the smallest common multiple of 17 and g.
187
Let x(f) be the first derivative of -f**3/3 + 9*f**2/2 - 12*f - 19. Let n = -7 - -23. Calculate the least common multiple of n and x(7).
16
Let u = -33007/19570 + 157/95. Let z = u + -11089/1030. Find the common denominator of z and 133/60.
60
Find the common denominator of 9/1280 and (-2)/(-15) + 2284/72*(-81)/(-2160).
3840
Let z(j) = -324*j - 1940. Suppose 3*y + 2*y = 70. Calculate the smallest common multiple of z(-6) and y.
28
Suppose 7*l = -2*o + 346, -5*o = -4*o + 2. What is the least common multiple of (-27)/45 + (-153)/(-5) and l?
150
Suppose -6330*d + 6322*d + 720 = 0. Calculate the smallest common multiple of 110 and d.
990
Let o be (-16)/(-104) + (-6090)/39. Let y = 743 - 108. Calculate the common denominator of y/o - (-12)/78 and 29/22.
132
Let b = 476 + 523. Let w be 2 - (b - -1)/(-5). Find the common denominator of 40/3 and w/(-12) + 2 + 2.
6
Let y(r) = 45*r - 291. What is the least common multiple of 33 and y(32)?
12639
Suppose -5*i + 55 = 4*v, 4*i - v + 14 = 79. Suppose 85*w = 4147 - 747. What is the lowest common multiple of i and w?
120
Suppose -k = 3*k - 4*j + 244, 107 = -2*k - j. Let q = 53 + k. What is the common denominator of (-2)/(-12)*(-127)/q and -17/22?
198
Let b = 14452 + -14431. What is the lowest common multiple of 51 and b?
357
Suppose 0 = 17*b + 17*b - 69*b + 66220. What is the least common multiple of b and 344?
3784
Suppose 10*k - 1982 = 528. Suppose -h - k = 2*c + 3*c, c + 3*h = -39. Let f = c - -96. What is the lowest common multiple of f and 21?
315
What is the common denominator of (-2)/5 + -3415*9/(-41400) and (41/(-5))/((-348)/145)?
552
Let f = -18 + 34. Let x be -26 - -1 - (12 - f). What is the lowest common multiple of ((-33)/2)/(x/14) and 1?
11
Suppose -32*d = -25*d + 21. Let r be (d - -3 - 2) + 10346. Let z = -124217/12 + r. What is the common denominator of z and -109/22?
132
Let z = 28958/23 - 1260. Let a = -111039 + 12769733/115. Let c = z + a. Calculate the common denominator of c and -53/10.
10
Let c = -10 + 14. Suppose 2*l - 2 = -c*g, -4 = -4*l - g + 7. Suppose -5*n = l*n - 832. What is the smallest common multiple of n and 6?
312
Calculate the common denominator of 9/20 and 471/111*(-3)/3 + (-27)/(-9).
740
What is the least common multiple of 75 and (24 + -5)/(7 - 1796/120 - -8)?
2850
Let h(s) = -50*s + 156. Calculate the least common multiple of h(3) and 6.
6
Let d(l) = -112*l + 252. Let a be d(18). What is the common denominator of 1/63 and (-2 - (-15)/7) + (-13566)/a?
126
Suppose -r = -26 + 12. Suppose 3 = -3*g + 2*c + r, -2*c = -4. Suppose g*b - 100 + 70 = 0. What is the lowest common multiple of b and 10?
30
Let n = 18620/1787 - 268783198/26805. Let q = 10013 + n. What is the common denominator of q and -25/6?
30
Let s be 72/(-8)*(-4)/(-18). What is the common denominator of -28/3 and s + (0 + -2 - 297/(-36))?
12
Suppose -w - 3*w - 16 = 0. Let l(y) = 0*y + y**3 + 1 + 0*y + 5*y**2 - y - 7 + 4. Calculate the lowest common multiple of l(w) and 6.
18
Let c(y) be the second derivative of -y**5/20 + 5*y**4/3 - 5*y**3/2 - 2*y**2 + 7*y. Let g = -60 + 82. What is the least common multiple of g and c(19)?
792
Suppose 309 - 116 = y. Let s = y + -176. Calculate the lowest common multiple of 10 and s.
170
Let m = 361959115/1192 - 303657. Find the common denominator of m and 31/447.
3576
Let n be ((-56)/(-10) - 6)/(1/(-15)). Let r = 53 + -179/2. Find the common denominator of r and 565/90 + (-1 - (-10)/n).
18
Suppose 0*s - 4*s = -2*o - 8, 3*o - 9 = -s. What is the smallest common multiple of o and (13/(-7) - -2) + (-40)/(-14)?
6
Suppose -2*c = -4*h + c + 5, 2*h = 2*c + 2. What is the common denominator of 26/32*(-8 + 4/h) and 59/95?
760
Let x(p) be the third derivative of -p**4/24 + 13*p**2. Let g(z) = -7*z - 4. Let v(r) = g(r) - 5*x(r). What is the least common multiple of v(-3) and 22?
22
Let i = -35 - -174/5. Suppose -2*l + u = 3*l - 26856, l + 4*u - 5367 = 0. Let c = l + -53827/10. Find the common denominator of c and i.
10
Let k = -17419 - -16617727/954. Let i = 6787 - 149417/22. Find the common denominator of k and i.
10494
Let x(o) = -o + 1. Let z be x(-8). Calculate the common denominator of (2052/(-16))/z + 2 + -1 and 2 + -1*(-108)/(-10).
20
Let k be (3*(-185)/(-10))/((-2)/(-52)). What is the common denominator of (4/6)/(364/k) and 2/(-5)*415/(-36)?
126
Let o(s) = 12*s**2 - 16*s - 148. What is the smallest common multiple of 203 and o(-5)?
1624
What is the smallest common multiple of 5 and (-3566)/(-22) - 353/3883?
810
Suppose 0*i + 5*i - 4*s - 965 = 0, -2*s = i - 193. Suppose i = 3*n - 5*l, -3*n + 3*l = -l - 188. What is the least common multiple of n and 52?
728
Let x = 16226 - 16136. What is the lowest common multiple of x and 930?
2790
Suppose 4*s - 10024 = 4*n, 179*n - 176*n = 6. What is the lowest common multiple of 16 and s?
10032
Suppose 826 = -13*b - 630. Calculate the smallest common multiple of 44