se -21 = 2*x - 5*t, -46 = -5*x - t - 58. Calculate the common denominator of x/18*(-8)/(880/(-1215)) and -41/20.
220
Let n be (3 - -21)*31*(-46)/(-54). Let m = n - 628. Find the common denominator of 35/32 and m.
288
Let t = 424099/55 - 64604/11. Let s = t - 1829. Calculate the common denominator of -47/5 and s.
5
Let t(y) = 6*y**2 - y - 6. Let l be t(-6). Suppose 5*k + l = 9*k. Suppose -5*o + 7 = -s + 25, 3*s - k = 5*o. What is the lowest common multiple of 6 and s?
18
Suppose 28*v + 27*v = -7260. What is the common denominator of v/(-16) + (2 - 14/8) and 37/140?
140
Let c be 12/54 - (515780/(-469386))/(-5). Let b = -1466723678/1329927 - c. Let l = b + 1103. Calculate the common denominator of l and 101/8.
408
Let d be -21 - ((6 - -8) + -7). Let l(b) = -b**3 - 28*b**2 + 21. What is the lowest common multiple of l(d) and 3?
21
Let v = 506789 + -152036887/300. Find the common denominator of -29/135 and v.
2700
Let g = -32535/14 + 2322. Find the common denominator of (7 + 37/14 + -3)*(-49)/(-630) and g.
420
What is the common denominator of (-259680)/(-840)*(202/200 - 1) + -3 and 33/1715?
8575
Suppose 0 = 8*v - 4*l - 164, 101 = -2*v - 4*l + 97. Calculate the least common multiple of 7196 and v.
28784
Suppose x - 4 = 1. Let g(y) = 32*y - 809. What is the least common multiple of x and g(26)?
115
Calculate the common denominator of (-1)/7 + 0 - 12/2240*748 and 2 - 2 - (-43)/14.
140
Let s(o) = -o**3 + 4*o**2 + 9*o + 3. Let w be s(-4). Let j = -89 + w. Let f(d) = -d**2 + 12*d + 19. Calculate the smallest common multiple of j and f(12).
114
Let i be (-4 + -76)*2*4/(-10). Suppose -3*j + 7*j - i = 0. Calculate the common denominator of 87*(-1)/j*(-5 + 3) and -67/9.
72
Let a be (397 - -2) + (21 - 29). Let f = 396 - a. Calculate the smallest common multiple of 109 and f.
545
Find the common denominator of 677/42 + 6/(-21) + (1 - 2) and -29/8455.
50730
Let r be 10/5220*11*4. Let s = -1825/2088 - r. What is the common denominator of 83/40 and s?
120
Suppose -11*p = -75 + 42. Calculate the lowest common multiple of 969 and p.
969
Suppose -2*v + 22 = -18. Let s = v + -25. Find the common denominator of -27/10 and 5/s + 380/(-144).
180
Let z(r) = 2*r**2 - 10*r - 188. What is the lowest common multiple of 7882 and z(-8)?
78820
Let k = -81 - -213. Suppose 2*w + 68 = k. What is the smallest common multiple of 36 and w?
288
Suppose -5*a - 237 = -8*o + 6, 5*o + 5*a = 95. Let d be (-9)/(-6) - (-1)/2. Find the common denominator of o and d - (0 + (-70)/(-24)).
12
Let z(l) = -l**2 - 29*l + 770. Let i(p) = 2*p + 10. Calculate the least common multiple of i(5) and z(15).
220
Let l = 209 + -204. Suppose 0 = l*x + 30 - 280. Calculate the lowest common multiple of x and 3.
150
Suppose -3580*b + 3572*b + 2080 = 0. Suppose 65 - b = -13*u. Calculate the smallest common multiple of 18 and u.
90
What is the common denominator of 43/376 and ((-9)/940)/((-23)/(8050/(-60)))?
376
Let a = -571947683/1050 - -544712. What is the common denominator of -13/10 and a?
1050
Let y = -381/5 - -15977/210. Find the common denominator of 151/24 and y.
168
Suppose 15*q + 108 + 12 = 0. Let x be ((-438)/(-12))/((-20)/q). Let d = -57/20 + x. What is the common denominator of 99/2 and d?
4
Let j = -5934401/5520 + 16126/15. Find the common denominator of j and 93/4.
1840
Let n = 48653426 - 48020938540/987. Let g = n - -3/658. Calculate the common denominator of (3/(-36))/((-15)/(-430)) and g.
18
Let i = 2/109121 - 10366607/6110776. Let a = 3495969/40 + -87401. Find the common denominator of i and a.
280
Let c = 1727 + -1452. What is the smallest common multiple of 440 and c?
2200
Suppose 0 = 5*j - 7*j + 198. Suppose -7*l + 10*l = j. Suppose l*v - 120 = 29*v. Find the common denominator of 19/36 and v.
36
What is the common denominator of 29 - 39 - 3494/(-352) and -43/28?
1232
Let u(q) = -q**3 + 2*q + 2. Let h = -840 - -842. What is the least common multiple of (-2)/h*(0 + -3 + -2) and u(-2)?
30
Let h(i) = -i**2 - 414*i - 3471. Calculate the smallest common multiple of h(-9) and (-4)/(-26) + (-50)/(-13).
348
Suppose 0 = 2*x + 4, -69*x + 66*x = -4*a + 28430. Calculate the least common multiple of 1938 and a.
21318
Let l = 84505057/3000 - 84505/3. What is the common denominator of 7/200 and l?
1000
Let q = -415 - -445. Let t be 2*-2*63/12. Calculate the common denominator of 23/t + q/45 and 33/2.
14
Find the common denominator of ((-471)/234)/(8 + -15 + (-3 - -11)) and 67/546.
546
Suppose u - 5 = -4*y, 4*u - 14 = 2*y + 6. Suppose y = h - 5. Suppose 374*x - 344*x = 60. What is the least common multiple of x and h?
10
Find the common denominator of 13/(4212/798) + 0 and 113/102.
918
Suppose -44 = -2*v + 2*j, -v - 145*j + 30 = -148*j. Calculate the least common multiple of v and 268.
2412
Suppose 12 = -z + 15. Let a(h) = 4*h**z - 3*h + 7*h + h**2 - 4*h - 1. Calculate the least common multiple of 1 and a(1).
4
Let j = -14/131 + -5053/524. What is the common denominator of -113/25416 and j?
25416
Let p = -5156 + 5167. Calculate the smallest common multiple of p and 64.
704
Let j be -15*4*3/(-36). What is the smallest common multiple of 8 and 5 - -71*(6 - j)?
152
Suppose 6*m - 9*m - 2*c = -128, 0 = -4*m - 2*c + 168. What is the least common multiple of m and 50?
200
Find the common denominator of -4/5 and 2178/336*(-32)/840.
490
Let z = -409591/330 - -6201/5. What is the common denominator of z and -16 - (-16)/(-704)*-719?
132
Let j = 1/94590 - -196949/10735965. Calculate the common denominator of -35/18 and j.
4086
Let o = -3/10312 + 397057/154680. Find the common denominator of ((-63)/(-16))/(1890/1008) - 14 and o.
30
Let r = -9584 - -12384. Calculate the lowest common multiple of r and 1000.
14000
Let h = 5123 - 5067. Calculate the smallest common multiple of h and 112.
112
Let t(u) = -5*u - u - 749*u**2 - 4 + 760*u**2. What is the smallest common multiple of t(2) and 36?
252
Let c = 7419 + -7416. Calculate the smallest common multiple of c and 17307.
17307
Let n = -1/4808 - -199541/43272. Let k = -1/88397 - 2385233/131357942. Calculate the common denominator of k and n.
13374
Suppose -45*j + 85534 + 13016 = 0. What is the smallest common multiple of j and 10?
2190
Let u = 9974 - 19410. Let r be -2 + ((-567290)/12)/5. Let h = r - u. What is the common denominator of h and -13/5?
30
Suppose -2*f = -2*d + 48, -2*d + 7*d - 3*f = 130. Suppose 7*z = d + 55. Calculate the least common multiple of 52 and z.
156
Let f(t) = 11*t**2 - 8*t**2 - 3*t**2 - 3*t**2 - 5*t + 6. Let l be f(-4). Calculate the lowest common multiple of (l/5)/((-24)/40)*3 and 18.
198
Let b = -10355 + 6368. Let n = -12476/3 - b. Let w = -174 - n. Calculate the common denominator of w and 61/2.
6
Let u(h) = -h**3 - 6*h**2 - h - 5. Let s be u(-6). Let f = 794/175 + -24/175. Find the common denominator of f and (-9)/(-2) - s/(-6).
15
Let y = -508 + 507. What is the smallest common multiple of (y + -5)*(-18 - -17) and 18?
18
Let u = 10589771/183 - 57868. What is the common denominator of u and -37/204?
12444
Let d = -8291/4 - -2090. Calculate the common denominator of d and -44/555.
2220
Suppose 0 = -8*z + 3*z + 425. What is the common denominator of (-68)/z + 1 + (-598)/90 and 80/(-100) + 33/18?
90
Let f = -127613/6330 + -7/1055. Let u = 2/15587 - 545781/1839266. Calculate the common denominator of f and u.
354
Let c be (36/8 + -6)*(-6)/(-153). Let r = c - -47/510. Find the common denominator of 25/6 and r.
30
Let d(l) = -4*l + 36. Let v be d(9). Suppose v = 4*x - 162 + 802. What is the common denominator of -43/4 and -6 + x/(-25) + (-83)/(-80)?
16
Let o = -305 + 165. Let g = 197099/16 + -12314. Calculate the common denominator of g and (10/o)/((-1)/(-113)) - 0.
112
Let i = -570803/50 + 11414. Find the common denominator of -107/130 and i.
650
Let m be ((-9)/12)/(1/(-4)) - 0. Suppose 0 = m*y + 8*y - 132. Let h(z) = 7*z - 7. What is the smallest common multiple of h(4) and y?
84
Suppose 0 = -5*p - 3 + 168. Suppose 0 = -p*a + 37*a - 256. Calculate the smallest common multiple of 12 and 20/8*a/10.
48
Let a = -228 + 230. Let s(j) be the first derivative of j**4/2 - j**2 + 4*j + 2. What is the least common multiple of s(a) and 18?
144
Suppose -4*c + 5*l = -192, -3*c + 2*c = 5*l - 48. Suppose c*g = 33*g + 600. Calculate the least common multiple of