d h/24 + (-1)/(-3).
18
Suppose 19*y - 82*y + 80 = -109. Calculate the smallest common multiple of y and 838.
2514
Suppose 7*n + 6 - 13 = 0. Let g = -230 + 232. What is the least common multiple of n and g?
2
Let r(u) = -2*u**3 - 13*u**2 + 6*u - 7. Suppose -26 = 7*f + 23. Let j be r(f). Suppose 5*w + 39 - 114 = j. What is the least common multiple of 11 and w?
165
Let y = 332/15 - 1847/90. Let p be 7121/(559 - 2/(-2)). Let n = -13/112 + p. Find the common denominator of n and y.
90
Let s be 1/(2/(2 + 6)) - 2. Let d(w) = s*w**2 + 0*w**3 - w + 5*w**3 - 8*w**2 - 6*w**3. What is the lowest common multiple of d(-6) and 34?
102
Suppose -30 = -o - 8. Suppose -17*g = 25*g - 298 - 80. Calculate the least common multiple of g and o.
198
Let q(p) = -p**3 + 11*p**2 + p + 6. Let k be q(11). Suppose 5*j = 28 + k. What is the least common multiple of 41 and j?
369
Let n = 5195 - 4203. Calculate the lowest common multiple of 44 and n.
10912
Let k(y) = -7*y + 10. Let x(s) = 7*s - 12. Let u(z) = -3*k(z) - 2*x(z). What is the smallest common multiple of 8 and u(6)?
72
Suppose -2*s - 3*m = 2*s - 50, 0 = -2*s - m + 26. What is the common denominator of s*721/1120 + -9 and 43/48?
240
Let v = -256831/23532 - 5/1961. What is the common denominator of 4 + 0 + -1 + 273/(-108) and v?
36
Let y = 3/1229 - 13573/22122. Let f = -18/1787 - 196161/218014. Let p = 1483/549 - f. What is the common denominator of p and y?
18
What is the common denominator of 83/544 and (3/((-1836)/(-2)))/(88/3993)?
1632
Suppose 0 = -5*c - n + 4260, 110*n = c + 114*n - 871. Calculate the smallest common multiple of c and 2.
1702
Calculate the common denominator of -83/1296 and ((-2)/(-4))/(-1) - (163100/4860 - 34).
3888
Let k = -17688 - -19316. What is the smallest common multiple of 666 and k?
14652
Let d = 25/2 - 129/10. Let b = -113 - -6194/55. What is the common denominator of b and d?
55
Let d = 115257539926816923 - 2204694977659543711440433/19128423. Let m = 1781/66074 + d. Let h = -2/579 + m. Calculate the common denominator of h and 37/16.
16
Suppose 870 = 192*h - 187*h. Let b = h - 170. Calculate the lowest common multiple of b and 42.
84
Suppose 2*w + 3*n = 36, w - 63*n + 67*n = 28. Calculate the least common multiple of 428 and w.
1284
Suppose c + 109 = -n, 8*n - c = 5*n - 331. What is the common denominator of 49/10 and -1 + 20/8 + 295/n?
110
What is the least common multiple of 21/(-15)*-1 + (2 - (-120965)/25) and 21?
33894
What is the smallest common multiple of -20 + 9 - (-944 + -3) and 4?
936
Suppose 90 = -14*q + 384. What is the lowest common multiple of q and (-105)/2*(-12)/9?
210
Let m(f) = f. Let v(r) = -r. Let t(u) = 3*m(u) - 12*v(u). Let p be t(-3). Let d = -31 - p. Calculate the lowest common multiple of 18 and d.
126
What is the least common multiple of 225 and ((-1)/(2/(-14)))/1 + (-1995 - -2393)?
2025
Let v = -684355/5638578 + 406/2309. Calculate the common denominator of 1/198 and v.
7326
Suppose 0 = t, 7*t = 3*k + 6*t - 324. Suppose 4*o = -3*q + 47, -5*o - 3*q = -4*q - 73. What is the lowest common multiple of k and o?
756
Find the common denominator of -1/32 and 33/9300*((-21)/(-12))/((-105)/(-450)).
4960
Let r be 570/21 + -3 + 100/35. Find the common denominator of ((-63)/r - 8) + (-4)/(-6) and -36/53.
159
Suppose 0 = 4*u - 2*t - 1072 + 3360, -1148 = 2*u - 2*t. Calculate the common denominator of -137/18 and (-4 - u/112)/((-3)/4).
126
Suppose -9*v + 94 = 22. Suppose 6*g = 2*g + v. Suppose 3*n - 105 = -s - g, -n + 3*s + 21 = 0. What is the smallest common multiple of 12 and n?
132
Suppose 0*g + 5*g + 3967 = n, 2*g = -3*n - 1580. Let a = g + 796. What is the smallest common multiple of (1 - 4)/(2/(-10)) and a?
15
What is the lowest common multiple of 3 and (-4)/(40/(-25))*3/30*48?
12
What is the common denominator of 29/27 and (-427*10/(-980))/((-11)/2)?
2079
Let y be -6 - (-241836)/2080 - 1. Let f = -867/8 + y. Calculate the common denominator of 10/143 and f.
715
Suppose 449*s - 738*s = -1156. Calculate the smallest common multiple of s and 316.
316
What is the common denominator of (-175)/(-427)*(-201)/(-134) and 111/1586?
1586
Let r(u) = -26*u**2 + 220*u + 8. Calculate the least common multiple of 26 and r(8).
104
Let x = 1379/12 + -118. Let c = -462/19 - -8336/285. What is the common denominator of c and x?
60
Let h = -7599/4 - -1890. Calculate the common denominator of h and -7 - (-119)/1275*(214/4 - 4).
100
Suppose s + 5*m + 20 = 0, 100 = -5*s - 21*m + 23*m. What is the common denominator of ((-426)/(-27))/(s/15 + 4) and 143/12?
12
Suppose -6*p + 4*h - 6562860 = -2*p, -2*h + 4922140 = -3*p. Let s = p + 13103325/8. Let x = s - -2805. Calculate the common denominator of x and 27/34.
136
Suppose -4*b = -18 - 2. Let s be 7/(84/80)*(-12)/(-8). Suppose b*z - s = 3*z. What is the smallest common multiple of z and 2?
10
Let o = 144 + -96. Calculate the least common multiple of 3228/(-1345) + (-4)/(-10) - -14 and o.
48
What is the least common multiple of (2/4)/(-6 - (-588)/96) + 726 and 438?
2190
Let q = 1017/2 - 11263/22. Calculate the common denominator of q and -3 - 4 - -20*(5 - 1377/288).
88
Suppose 5*b - 3724 = -4*r, 5*r + b - 3026 = 1650. Calculate the smallest common multiple of r and 72.
936
Let a(j) = 1022*j - 579. Calculate the least common multiple of 30 and a(3).
24870
Find the common denominator of (7936/147200)/((-24)/(-10) + 0) and 67/1380.
1380
Let r(m) = -30*m**3 + 2*m**2 + 4. Let n be r(2). Calculate the common denominator of -87/2 and (n/(-16) - -4) + 5.
4
Suppose 0 = 50*o - 6*o - 19184. What is the least common multiple of 1744 and o?
1744
What is the common denominator of ((-198)/(-45))/22 + 303/(-30) and -151/1056?
5280
Let f be (5 - 1)*(-7 - -8). Suppose -2*v = f*g + 41 - 53, g = 3*v - 25. What is the smallest common multiple of (-1 - -2 - -23) + 0 and v?
24
Let c = -1360453/161700 + 4568/539. Calculate the common denominator of 133/1500 and c.
16500
Let n = 289 - 280. Suppose -5*d + 23 = -g, d - 2*d - 2*g + n = 0. Calculate the lowest common multiple of 182 and d.
910
Let z(u) be the second derivative of u**4/6 - 5*u**3/2 - 9*u**2 - 42*u - 1. What is the lowest common multiple of 28 and z(10)?
224
Suppose -4*m - 29 = -k + 22, -112 = -2*k + 3*m. Suppose k + 31 = 3*h. Let s(c) = -149*c + 1362. Calculate the lowest common multiple of s(9) and h.
210
Let u = -45543/91054 - -8/45527. Let d = 1247/2 + -640. Find the common denominator of u and d.
2
Suppose -2436 = -2*d - 3*c, 3*d - 2*c - 350 = 3356. Calculate the least common multiple of d and 54.
11070
Suppose 69 = d + 65. Let u be (-4)/((-1160)/(-1085)) + d. Let l = -1651/232 - u. What is the common denominator of l and -93/2?
8
What is the common denominator of 22918/20832 + (1/((-2)/2) - 0) and -93/16?
1488
Let t = 21155748820/6309 - 3353265. Find the common denominator of t and 107/54.
37854
Suppose -2*x - 5*p + 15 + 14 = 0, 0 = 2*x - 3*p - 21. Let y = -316730 + 10135395/32. What is the common denominator of y and (-3)/x - 263/(-36)?
288
Calculate the common denominator of (-5946)/(-3564) + (-8)/60*20/(-36) and 65/88.
264
Let t = 102/47 - -884/329. Calculate the common denominator of t and 61438/14280 - (-2)/42.
140
Suppose -3*x = -6*x - 4*d + 850, 0 = -2*x + 4*d + 560. What is the smallest common multiple of x and 470?
1410
Let q(k) = 72*k - 288. Calculate the least common multiple of 2064 and q(5).
6192
Let q(g) = -2*g + 41. Let b be q(20). Let t(s) = 10374*s + 4. Let i be t(b). Let c = 342400/33 - i. What is the common denominator of -25/18 and c?
198
Let h be (-7)/(-49)*40 + (-2)/(-7). Calculate the common denominator of 35/16 and (h/(-12))/(720/729).
160
Calculate the common denominator of (-21)/35 + (-711)/165 and 23/309.
3399
What is the lowest common multiple of 270 + (8 - -5) + -25 and 731?
4386
What is the common denominator of (-1)/((-1)/7) + (-6)/(-360)*-178 and -41/3393?
33930
Suppose -1946*k = 1947*k - 3887*k - 6084. What is the least common multiple of 78 and k?
1014
Let g = 20 - 12. What is the common denominator of (-3 - -2)*(-235)/(-110) and 116/g + 0 + 0?
22
Let u = -2636 - -3320. What is the least common multiple of u and 252?
4788
Let w = -58 - -58. Suppose 3*h - 60 - 336 = w. Suppose -297 - h = -13*i. Calculate the smallest common multiple of i and 3.
33
Let p = -1996 - -