n denominator of h + 1182/120 + -2 and -7/50.
100
Let s(u) = 5*u + 477. Suppose 0 = -3*y + g + 58, 0 = -2*y - 3*g + 57. What is the lowest common multiple of s(-94) and y?
21
Let m = 4206/23 + -32843/184. What is the common denominator of m and 53/560?
560
Let l = 842142 + -2395051901/2844. What is the common denominator of l and -29/316?
2844
Let r(m) = 2*m**3 - 3*m**2 + m. Let a be r(2). Find the common denominator of 676/(-304) - (-8 + a) and 123/20.
380
Let m = 46 - 4. Let q be 30604/72 - (-21)/(-378). Calculate the lowest common multiple of m and (12/(-10))/((-170)/q).
42
Let o be (457/(-4) - 1)/((-3)/(-36)). Let r = o - -5625/4. Let h = 5 - 93/2. Find the common denominator of h and r.
4
Let z = -56 - -57. Suppose -v = 0, z = m - 2*v - 1. Suppose m*x - 8 = -f, 3*f + 2*x - 13 - 23 = 0. What is the lowest common multiple of 50 and f?
350
Suppose -3*t - 28 - 19 = -4*j, 4*j - 22 = -2*t. What is the smallest common multiple of 534 and j?
2136
What is the common denominator of 13*3/(-18) - (-12)/9 and 98/(-84)*(158/14)/(-1)?
6
Find the common denominator of 10 + ((-651)/(-930))/(18/(-410)) and -19/108.
108
Let w = 87/67 + -2839/1206. What is the common denominator of -77/600 and w?
1800
Let f be -3 + -3133 + 6/(-3). Let v = f + 31421/10. What is the common denominator of v and ((-901)/318)/((-2)/(-7 + -1))?
30
Find the common denominator of ((-259)/175)/(3/(-15)) and 3/(54/124) - 1.
45
Suppose 1661*h + 17568 = 1722*h. Calculate the smallest common multiple of h and 48.
288
Let l be (-84824)/(-64) + (-1)/2. Suppose 3*h - 5*w + 4033 = 0, 2*h + 2687 = 30*w - 27*w. Let b = h + l. Find the common denominator of 109/14 and b.
56
Find the common denominator of -14 + 10 + 7 + -5 + 551/210 and 20/357.
3570
Let j = 2721 - 506099/186. Find the common denominator of j and -98/465.
930
Let f = -16 - -14. Let q be 18*(40/18 + f). What is the common denominator of 38/7 and 122/q - (-9 + 6)?
14
Let b(d) = -d**3 + 7*d**2 + 190*d - 10. Calculate the least common multiple of b(-11) and 126/8 + (-1)/(-4).
624
What is the common denominator of (202/(-660))/(39/(-195)) and -85/12?
132
Let b = 3224/7 + -6515/14. Let a = -158383377895/37196379948 + -3/37345763. Let y = -2/249 - a. What is the common denominator of b and y?
28
Calculate the common denominator of 9 - (14 - 625379/125256) and 27/307.
7368
Suppose -158 + 134 = 2*c. What is the common denominator of (-298)/(-48) - (-6)/c and -19/24?
24
Let x(a) = a**2 - 18*a + 28. Let h(w) = -29*w - 451. Calculate the lowest common multiple of x(17) and h(-18).
781
Suppose -8 + 188 = 15*y. Calculate the common denominator of 393/42 + -1 + (y - 16) and -23/63.
126
Let r(f) = -5*f + 4. Let h be r(0). Suppose 3*w = h*w - 388. Find the common denominator of w/(-165) - 12/90 and -85/21.
231
Find the common denominator of 48/(-23744)*(-7790)/15 + 1*-1 and 57/371.
742
Let c = -1026 - -1401. Calculate the smallest common multiple of c and 15.
375
Let n = -21883/5640 - 38/235. Suppose 6*i = 5*i + 4*a - 1161, 3*a = -12. Find the common denominator of i/242 + 1*2 and n.
264
What is the common denominator of 1/3 - (-465)/144 and ((-533)/984)/((-7)/(945/(-50)))?
80
Suppose 4 = -3*f - 14. Let n(w) = 3*w + 21. Let t be n(f). Suppose -3*i = -c - 0*c + 19, -69 = -3*c - t*i. Calculate the least common multiple of c and 54.
594
Suppose -4*m + 5 = 2*f - 9, 5*m + 3*f - 17 = 0. Calculate the common denominator of 79/50 and 1727/550 - m*(2 + -1).
50
Suppose -4*h = 2*q - 232, 7*h + 200 = 2*q + 3*h. Calculate the smallest common multiple of q/(-5)*((-440)/33 - -10) and 12.
72
Let w = -1199 - -34784/29. Let f = 1217/580 - w. Calculate the common denominator of -47/48 and f.
240
Suppose -6*i + 11*i + 3*u = 722, 3*u - 432 = -3*i. Calculate the least common multiple of i and 174.
870
Find the common denominator of 51/1010 and (-3 - (-36)/21)*((-165)/(-18) + -11).
7070
Suppose -2*s + 5*s = 204. Let u = s + -215/2. What is the common denominator of u and -3/206?
206
Let m be (6 + -3)*92/6. Suppose -4*w + 63 = r, 4*w + 2*r = w + m. Calculate the smallest common multiple of (12/5)/(w/80) and 33.
132
Let i be 32 + -38 - (1 - 1). What is the least common multiple of 22 and i/54 - (-16743)/27?
6820
Suppose -4*x - 952 = 460. Let v = 373 + x. What is the least common multiple of v and 30?
60
Suppose 49*t - 37 = 48*t. What is the common denominator of -5 + 1/30*t and 17*(0 + (-2)/(-8))?
60
Let o = -29138 + 7634133/262. Calculate the common denominator of o and 109/6.
786
Let b be ((-19020)/(-18))/(-5)*(-30)/5. Suppose -36 + b = 11*j. What is the lowest common multiple of j and 14?
112
Let b = 85 + -165/2. Let k(o) = 123*o**2 + 13*o + 39. Let y be k(-4). What is the common denominator of -4 - y/(-180) - 3 and b?
36
Suppose 0 = 4*c + 4*v + 24, 6*v = -4*c + 3*v - 23. Let j = 31 - c. What is the smallest common multiple of 12 and ((-5)/3 + 2)*j?
12
What is the lowest common multiple of 1 and ((-104 - -107) + (-6914)/10)/(2/(-15))?
5163
Suppose 15*u + 285 - 333 = 702. Calculate the smallest common multiple of 235 and u.
2350
Suppose 673 = 3*b - 515. Suppose -19*l + b = -8*l. What is the least common multiple of l and 60?
180
Let t = 1/193 - -8277/4246. Let c be ((-12732)/792 - -16)*5386/(-190). Let j = c - t. Find the common denominator of 63/2 and j.
114
Suppose 8 = -2*k + 3*k. Let p(d) = d**3 - 9*d**2 + 6*d + 16. Let l be p(k). Suppose 4*x - 50 + 6 = l. What is the lowest common multiple of 1 and x?
11
Let d = 308145 + -308137. Suppose 2*f - 2*z + 15 = 113, 5*z + 25 = 0. Calculate the lowest common multiple of d and f.
88
Let a(r) = -r**2 - 3*r + 7. Let q be a(-5). Let m(d) = 4*d**3 - 24*d**2 + 22*d + 1. Calculate the lowest common multiple of 16 - 1*6/q and m(1).
18
Let n = 335 - 333. What is the common denominator of -55/3 and (254/(-16) - n)/((-42)/(-8))?
42
Suppose -5*l + 419 + 106 = 5*g, -2*l + 10 = 0. What is the lowest common multiple of g and 130?
1300
Suppose -18*w + 5*f - 1200 = -22*w, -3*f = -4*w + 1200. What is the lowest common multiple of w and 4875?
19500
Let d be (0 - 0/(-6)) + (-4)/(-151). Let a = d + -2023/2265. Find the common denominator of 69/50 and a.
150
Let o = -12921/235 - -300/47. Let l = 2240283/20 - 112057. Let a = o - l. Calculate the common denominator of a and 11/4.
4
Suppose 9*y - 8*y = -12. Let r = 12 - y. Suppose r + 12 = 4*l. Calculate the lowest common multiple of 4 and l.
36
Let g(j) = 2*j**2 + 18*j + 53. Let h be g(-4). Suppose -h*t + 68 = -9*t. What is the least common multiple of 1 and t?
17
Let r = 1235282/1583559 + -540/701. Find the common denominator of r and 49/54.
13554
Let n(g) = -56*g - 166. Let k be -4*(-24)/(-160) - 36/15. What is the smallest common multiple of n(k) and 76?
76
Suppose -10*j = -202 - 898. Calculate the lowest common multiple of j and 418.
2090
Suppose -128388*c = -128395*c + 5516. Calculate the least common multiple of 1182 and c.
2364
Suppose -2*u - 5*l = 415, 3*u + 609 = 15*l - 18*l. Calculate the common denominator of (15/u)/((-6)/(-236)*6) and 17/18.
360
Let p(z) = z**3 + z**2 - z + 8. Suppose -3*a = 2*a. Let d = 2928 + -2922. Calculate the lowest common multiple of p(a) and d.
24
Let x(k) = -35*k**3 + k**2 - 8. Let y be x(-2). Find the common denominator of 35/16 and y/120 - (-3 + (-10)/(-3)).
240
Let b = 79 + -111. Let l = b - -36. Find the common denominator of ((-234)/63)/(l/(-2)) and -47/50.
350
Let q = -24069 + 24121. Calculate the least common multiple of 732 and q.
9516
Let c(i) = 5*i - 58. Let t be c(16). Suppose 0 = t*f - 14*f - 8. What is the lowest common multiple of 99 and f?
99
Let z = -17160 + 17178. What is the lowest common multiple of z and (-7 + 0)*(-90)/7?
90
What is the common denominator of (128/(-2304))/((-34)/678) and 346/(-60) + 0 + 1?
510
Suppose 0 = -4*r - 4*j + j + 3, 0 = -4*r + 3*j - 3. Suppose r*i = -7*i - 1722. What is the common denominator of (i/(-33))/1 - (1 - -2) and 31/21?
231
Calculate the common denominator of 6/9 - 183/(-1008) and 1/((-18)/(-4)) - (-9272)/96624.
1232
Let w be 0 + (-1)/(-7) - 11900/(-49). Let c = 22268/6825 + -8/325. What is the common denominator of c and -2 + (-9)/(w/(-114))?
63
Let l = 443 + -458. Calculate the least common multiple of 264 and 615/90 + l/18.
264
What is the smallest common multiple of 340/(-4250) + (-3077)/(-25) an