
110
Suppose -870 = 15*h - 16*h - y, -h + 882 = 4*y. What is the least common multiple of h and 6?
2598
Let t(b) = 69*b**2 + 1. What is the least common multiple of 1870 and t(-1)?
13090
Suppose -70261 = -14*u - 11405. Let a = 33551/8 - u. Calculate the common denominator of 1/636 and a.
1272
Let n = -69 + 76. Suppose -n*w + 44096 - 12673 = 0. Let m = w + -27001/6. Calculate the common denominator of m and 121/10.
30
Suppose -85*b + 920 = -5030. Calculate the smallest common multiple of 98 and b.
490
Let a(y) = y**3 + 77*y**2 - 75*y + 426. What is the smallest common multiple of a(-78) and 780?
12480
Suppose 3*z = 2*i - 6, 0 = z + 3*i - 7 - 2. Suppose z = 5*s - 12 - 143. Calculate the smallest common multiple of s and (3 + -1)*144/96 - (-1 - -1).
93
Let n = -422 + 444. Let r = -57 + -107. Calculate the lowest common multiple of n and r/(-16) - (-5)/(-20).
110
Calculate the common denominator of (2337/738 - ((-6)/(-2) + 1)) + 1 and (52/138)/((-44)/33).
138
Let x = -340 + 230. What is the common denominator of -1 + 3 + -3 + (-205)/x and 19/144?
1584
Suppose 2*g - h + 303 = 0, 0 = 6*g - 8*g - h - 301. Let u = 187 + g. Calculate the lowest common multiple of u and 42.
252
Let v = -1667319/10479680 - 9/32749. Calculate the common denominator of 11/96 and v.
960
Let c = 819 - 13093/16. Let y be 6/(-219540)*-109768 - (-15)/(-5). Let q = 56347/29272 - y. Find the common denominator of c and q.
80
Let t be ((-246)/(-1272))/(13/1518). Let q = t - 1044/53. What is the common denominator of q and -1 + ((-131)/3)/((-28)/6)?
182
Suppose 0 = 4*o - 2*o - 602. Let n = o + -6903/23. Let s = -515/69 - n. Calculate the common denominator of 28/11 and s.
33
Let l = -28/583 - 26039/4081. Calculate the common denominator of -51/562 and l.
3934
Suppose 7*x = -5 - 16. Let b be 4/(-10) + (-51)/(-5)*x. Let c = 69 + b. Calculate the smallest common multiple of c and 22.
418
Let i(v) = 3*v**2 + 2361*v - 2361. Suppose 2*p + z - 118 = 0, 4*p - p - 5*z - 190 = 0. Suppose 5*b - 35 = p. What is the smallest common multiple of b and i(1)?
57
Let t(b) = -1. Let p(h) = -h. Let i(j) = p(j) - 3*t(j). Let q be i(2). Suppose -3*u - q = -16. Calculate the smallest common multiple of u and 15.
15
Let s = 4480 - 3880. What is the smallest common multiple of s and 900?
1800
Suppose 2*r = 0, 0 = -j + 5*r - 3 + 2. Calculate the common denominator of -121/72 and ((-22)/(-88))/((-16)/(-53)) + j.
576
Let h = 16225/247 + -882/13. Calculate the common denominator of (4/11)/(12/30) and h.
209
Let j = -203693/300 + 13601/20. Find the common denominator of j and 37/64.
4800
Let c be (-7 + (-4)/(-2))/(-1). Let o = 388 + -384. Calculate the lowest common multiple of 9 and o + 6 + -6 + 2*c.
126
Let r = 16 - 14. Let h be 194735/(-22) + r + 7 + -7. Let i = h + 8854. Find the common denominator of i and -45/38.
418
Let y(k) = -7*k - 55. Let c be y(-7). Calculate the common denominator of (-37)/66*(2 + -6) and 155/54 + (-4 - c)/(-4).
297
Let a(p) = -22*p**3 + 15*p**2 + 29*p - 26. Calculate the smallest common multiple of 3376 and a(-5).
23632
Suppose p + 2*p = -2*p. Suppose p*i = -2*i - 8. Calculate the smallest common multiple of 30 and (-2)/(i/(-9))*12/(-3).
90
Let q = 234 - 184. Calculate the lowest common multiple of 39 - -2*(0 + (-2)/(-4)) and q.
200
Let n be (-68)/18 + (-8)/36. Let z be n + 3 + -2 + 7. Suppose z*r - 4*l = -l + 31, -4*r = -l - 37. What is the smallest common multiple of r and 5?
10
Let k = -273163/40 - -6831. Calculate the common denominator of -73/680 and k.
680
Suppose 5*s = 2*c + 3*c - 10, 2*c = 10. Let b be -3 - (s - 2)*-51. Suppose 5*f - b = -f. Calculate the least common multiple of 10 and f.
40
Suppose -3*a - 90 = -6*a. Suppose 0 = 26*l - a*l - 324. Calculate the least common multiple of 34 and (-2)/9 + (-1152)/l.
238
Let b = 26073/103406 - 155/596. Find the common denominator of b and 29/2.
1388
Let x = -4787/368 + 200/23. Find the common denominator of -85/814 and x.
6512
Let w = 114629127/1946 + -58905. Let b = w + -57377/19460. Let k = 5/711 - 54757/1422. What is the common denominator of k and b?
20
Let p be (-6 - (-224)/(-4))/(0 - -2). Let k = 387/28 - 4925/252. Find the common denominator of ((-2)/4)/(1 - (-40)/p) and k.
18
Suppose 4*p = p + 15. Let x = -1 + p. Suppose x*n + 11 = 47. What is the lowest common multiple of 10 and n?
90
Let t(d) = 10*d**3 + 5*d**2 - 17*d - 5. Let o be t(8). Let m = 52899/10 - o. Find the common denominator of m and 442/20 + 4/10.
10
Let c = -139 - -90. Let h be 12/7*c/(-14). Find the common denominator of ((-1)/h*-3)/(28/(-256)) and -32/7.
7
Suppose 0 = -0*t + 5*t - 20. Suppose t*g + 8 = 0, -5*x + 2*g + 1 = -g. Find the common denominator of 178/18*(x - (-5)/10) and -43/27.
54
Let a(k) = -k**3 + 9*k - 8. Suppose 2*j = i - 3*j, -5*j + 5 = 0. Let c be a(i). Find the common denominator of (-732)/c*(-3)/(-9) and 93/4.
44
Suppose -21*z - 230 = 1303. Let n = -71 - z. Calculate the lowest common multiple of n and 64.
64
What is the common denominator of 97/11466 and (-7 - 184/(-24)) + (-8 - -28)?
11466
Let j = -745969/240 + 3108. What is the common denominator of -47/12 and j?
240
Suppose -322*i = -u - 323*i + 611, -2*u = 3*i - 1215. What is the least common multiple of u and 309?
618
Let u = 48 + -45. Suppose -4*n + 6760 = 5*b, n - u*b + 8450 = 6*n. Calculate the common denominator of n/(-600) + 2 + 14/(-6) and -55/18.
180
Calculate the common denominator of 97/250 and 3915/(-585)*6/45.
3250
Let w = 681 + -601. What is the lowest common multiple of w and 2544?
12720
Suppose -3*a + 6*t - 5*t + 22557 = 0, 30076 = 4*a + 2*t. Let d = -135271/18 + a. Calculate the common denominator of d and -61/12.
36
Let a = 12572/5211 - 1/193. Let q be 2749597/(-222054) + (-2)/7. Let y = q - -1/622. Calculate the common denominator of y and a.
27
Let v be 4*((-2605)/(-210) - (-9)/21). Let g = v - 653/12. Find the common denominator of (-7)/2*(-3)/(-16) and g.
96
Let f = -17161/18 + 956. Find the common denominator of (-184)/(-161) + ((-36631)/4998 - -7) and f.
306
Let g = 351 + -348. Suppose 2*z - g*h - 21 = -z, -5*z + 5 = 5*h. What is the smallest common multiple of z and 5?
20
Suppose -4*a + s - 14 = 0, -3*a + a - s = 4. What is the lowest common multiple of 15*(1/a - -1) and 19?
190
Let n = 4 + -3. Suppose g - 2 + n = 0. Let k(p) = -p**2 - 13*p - 9. What is the least common multiple of g and k(-12)?
3
Suppose -475603 = w - 3942423. Let y = 41740639/12 - w. Let h = 11574 - y. Calculate the common denominator of 53/40 and h.
120
Let d be (1 - 0)/((-2)/(-8)). Suppose 30 = d*l - h, -22 + 6 = -3*l + 4*h. What is the smallest common multiple of 4 and l?
8
Let d(s) = -6*s - 6. Suppose 0 = -3*q + 16*p - 21*p - 2462, 0 = -q - 4*p - 809. Let i = -808 - q. Calculate the least common multiple of d(-6) and i.
210
Calculate the common denominator of -5 + 185/40 - 8246/(-6160) and 143/240.
2640
Let j be 1/2 + (-40)/16. Calculate the common denominator of (j/144)/(3/(1809/(-6))) and -101/4.
48
Suppose 5*p + 2*h - 1341 - 950 = 0, -2*p + 3*h = -924. Let a = 396/5 + 3423/10. Let j = a - p. What is the common denominator of 163/66 and j?
66
Suppose n + 0 = 10. Let r(m) be the third derivative of -7*m**4/12 + 22*m**2. What is the least common multiple of n and r(-1)?
70
Let s(h) = h**3 - 2*h**2 - 2*h + 3. Suppose -784 = -24*o + 17*o. Suppose -o = -86*v + 72*v. What is the least common multiple of s(3) and v?
24
Let m = -8638 + 10266. Calculate the lowest common multiple of m and 7.
11396
Let n = 6002 + -4922. Calculate the least common multiple of 1 and n.
1080
What is the common denominator of -87/10 and 242/(-825)*5*12/(-2)?
10
Let x(p) = p**3 - 60*p**2 + 113*p + 218. Let f(h) = -h**2 + 10*h. What is the least common multiple of f(6) and x(58)?
264
Let b be ((-6)/15)/(8/(-10))*-493. Let i = b + 242. Calculate the common denominator of i and -25/4.
4
Suppose 5*t = 2*u + 57, 4*u + 130 = t + 25. Let o be (-18)/(-24) - u/8. Suppose -2*d + o = 2. Calculate the least common multiple of d and 9.
9
Calculate the common denominator of 8/(-872)*((-6)/(-2) + -35) and 73/20.
2180
Let f = 10095 - 181793/18. Calculate the common denominator of f and 3 + ((-145)/28)/(42/28).
126
Let r be (14/(-91) - (-58230766)/(-26)) + 3. Let w = -492719179/220 - r. Let k = -108/11 + w. Calculate the com