ple of 11 and l(n).
220
Let d = 5850 + -70099/12. Suppose 25*b - 72 = 7*b. Calculate the common denominator of b/10 + (-518)/(-180) and d.
36
Suppose -212 = -10*i + 6*i. Suppose i = 10*h + 13. Suppose 0 = 4*j + 2*x - 42, -3*j - 2*x = -6*x - 4. What is the lowest common multiple of h and j?
8
Let o be 93/186 - -169*(-2)/(-4). Suppose -87*l + o*l + 20 = 0. Suppose 2*y + 56 = 3*k, 0 = 3*k - 3*y - 45 - 6. What is the lowest common multiple of k and l?
110
What is the least common multiple of 21 and 7229*1 + (11 - 67 - -54)?
50589
What is the common denominator of ((-30)/7)/(2295/(-1190)) and -37/213?
639
What is the common denominator of -49/412 and (((-56)/20)/(52/65))/((-72)/38)?
7416
Let o(t) = -t**3 + 9*t**2 - 6*t - 13. Let q be o(8). Calculate the smallest common multiple of 2 + q + 4 - (-3 - -4) and 8.
8
Suppose -3428 = 17*h - 31257. Suppose -6947 + h = -15*y. Calculate the lowest common multiple of y and 4.
708
Let w = -7128 - -128393/18. What is the common denominator of (-97875)/(-450)*4/108 and w?
18
Let n = -3512653/90 + 39030. Calculate the common denominator of -47/212 and n.
9540
Let a = -4735/799 + 132/47. Let h = 198337/47598 + -2/7933. Calculate the common denominator of h and a.
102
Suppose 0*l + 32 = 4*l. Suppose 8*i = 26*w - 28*w + 28, 0 = -2*w + 4*i + 28. Suppose -l*y = -66 - w. What is the lowest common multiple of y and 20?
20
Let j(z) = -z**3 - 69*z**2 + 291*z - 31. Calculate the common denominator of -34/11 and j(-73).
11
Let d = 59 - 55. Suppose 0 = d*j - 20 + 8. What is the smallest common multiple of (-1)/(3/24)*j/(-12) and 12?
12
Suppose -2*w - 74 = 3*m - 120, -4*m = 2*w - 58. Calculate the lowest common multiple of m and 126.
252
Let z = 416 + -413. Suppose -8*j - 135 = -11*j - z*y, 5*y = -j + 57. What is the least common multiple of 7 and j?
42
What is the common denominator of -58/477 and (-354)/1947 - 329/66?
954
Let s be (0 - 5)*102022/290. Let w = s + 1763. Suppose b + 12 - 36 = 0. What is the lowest common multiple of b and w?
24
Let n(i) = -i**3 - 2*i**2 - 8*i - 21. What is the least common multiple of 267/15 + 1/((-10)/(-2)) and n(-3)?
36
Let n = 449969 + -296079521/658. Calculate the common denominator of n and 71/16.
5264
Let a(t) be the second derivative of t**4/4 - t**3/3 - t. Let n(k) = 1131*k - 1127. What is the smallest common multiple of a(2) and n(1)?
8
What is the least common multiple of (((-666)/12)/1)/((-6)/44) and 296?
3256
Let h = -198 + 5557/28. Let u = -22355157 - -313140829/14. Let r = u + -12038. Find the common denominator of h and r.
28
Let l = -667/20 + 167/5. Calculate the common denominator of (((-9)/60)/1)/((-168)/(-18) - 9) and l.
20
Let q = 147432139460/21 - 37596619857046/5355. Let j = q - -10741739/45. Let g = j - -27268. What is the common denominator of g and 49/15?
255
Let w = -1991 - -3385. Suppose -7*n + w = -657. Suppose 12*l - 91 - n = 0. What is the lowest common multiple of l and 20?
160
Let l(o) = 2*o**2 - 7*o**3 + 27 - 10 - 14 + 2*o. What is the least common multiple of l(-1) and 20?
20
Let a = 8 + 7. Let w(l) = -16*l - 4. Let q be w(-3). Let v = q - 40. What is the smallest common multiple of a and v?
60
Let v be (-29108)/(-12)*(134/(-16) + 1). Let i = -17885 - v. What is the common denominator of i and -49/30?
120
Let v = 20204705/231 + -87466. What is the common denominator of -41/55 and v?
1155
Let h = -896 + 908. Let q = -18 - -21. Calculate the lowest common multiple of q and h.
12
Let b = -256889 - -157986701/615. Find the common denominator of -29/120 and b.
4920
Suppose -4*l = -4*x - 8, -2*x - l - 4 = -5*x. Suppose 2*p - x*r = -369, -r - 2*r = -3*p - 549. What is the common denominator of (-393)/p*1 - 10/30 and 121/24?
120
What is the smallest common multiple of 2163/2 - (-17 + (-820)/(-40)) and 490?
5390
Let i(f) = f**2 - 37*f - 403. Calculate the lowest common multiple of 1405 and i(-9).
15455
Let x be (12/(-5))/((-1)/30). Let p = 78 - x. What is the smallest common multiple of p and 156?
156
Let m = 100 + 1020. What is the smallest common multiple of m and 1280?
8960
Let j(f) = 2*f**3 + 12*f**2 + 34*f + 6. Let z be j(-7). Calculate the common denominator of (-1285)/z - 8 - 2/3 and 89/388.
4268
Let y = -518 + 526. Calculate the smallest common multiple of y and 80.
80
Suppose -3*t - 4 - 4 = 4*k, -2*k - 18 = 5*t. Let i be t/(-14) - (4 - 410/35). Calculate the common denominator of -57/10 and i/((-72)/(-195))*(-6)/(-8).
20
Let f = 7583/15 + -506. Calculate the common denominator of -43/90 and f.
90
Let c = -15478 - -51417901/3322. What is the common denominator of 27/11 and c?
3322
Let f = -699871/915912 - -3/12721. Find the common denominator of f and (6/9)/((-32)/(-219)).
144
Calculate the smallest common multiple of 5 and (-1)/((-6)/2876) + ((-3792)/72)/(-79).
480
Let u = 24216 + -23886. Calculate the least common multiple of 810 and u.
8910
Let b = 185303/17849 - -4/1373. Let w = b + -256/91. Calculate the common denominator of w and 43/11.
77
Suppose 0 = -0*t + 3*t - 18. Suppose -344 = 3*i - 452. Suppose -126*y + 135*y = i. Calculate the least common multiple of y and t.
12
Let q(u) be the second derivative of -u**4/12 + 5*u**3/6 + 4*u**2 + 2*u. Suppose 144 = -8*j + 11*j. What is the least common multiple of j and q(6)?
48
Suppose 4*s - 2*s = 108. Let o(x) = -167*x - 3310. Calculate the smallest common multiple of s and o(-20).
270
Suppose 2*b - o + 7 = -b, 0 = -b + 4*o + 16. Let i(r) = r + 1. Let n(d) = 9*d + 13. Let f(y) = i(y) - n(y). Calculate the least common multiple of 10 and f(b).
20
What is the common denominator of ((-220)/13068)/(3 - 77/25) and -79/270?
2970
Let o be (1 - 13)*434/93. Find the common denominator of ((-27)/12)/((-176)/o + -4) and 65/28.
56
Let x = 18556 + -18496. Calculate the lowest common multiple of x and 5.
60
Calculate the common denominator of 15*6/45*2/992 and 131/576.
17856
Find the common denominator of (-40)/560 - (-2972)/(-336) and 91/4062.
8124
Let k = 23041/14 + -1649. Let q(c) = -c**2 + 3. Let r be q(3). Find the common denominator of (r/(-8))/((-11)/462) and k.
14
Suppose -7*b - 15 = -10*b. Suppose -4*f + z - 3*z + 66 = 0, -b*f + 2*z = -69. Calculate the smallest common multiple of f and (10/(240/(-108)))/(6/(-20)).
15
Find the common denominator of (-34)/(-663)*122/(-16) and (-7936)/1008 + -2*(-6)/(-168).
468
Suppose 3*j = -75670 + 30538. Let r be (-902366)/(-60) - 0/2. Let d = r + j. Calculate the common denominator of -37/18 and d.
90
What is the common denominator of 1 + 2 + (-33)/(-4) and -3*6/(-360)*21*100/24?
8
Let j = 151762/7 - 58276237/2688. What is the common denominator of j and 31/384?
384
Suppose 0 = -3*h + 4*k + 153, 5*h - k = h + 191. What is the smallest common multiple of 470 and h?
470
Let a = 3137 - 3017. What is the least common multiple of 40 and a?
120
Let k = -1409615/72 - -19576. Suppose -8*c + 21*c + 26 = 0. Find the common denominator of k and 19982/13596 - ((-2)/3)/c.
792
Let s = 18326 - 11673658/637. Find the common denominator of -40/7 and s.
637
Calculate the smallest common multiple of 2 and (4/(-12))/((-10)/(-210)) - (1 + -34).
26
Let n(o) = o**3 - 17*o**2 + 13*o + 109. Let k be n(15). What is the least common multiple of 6 - (-5)/((-5)/k) and 16?
304
Let o(d) = -36*d**2 - 15*d + 37. Let x be o(11). Let h = 188317/42 + x. Find the common denominator of h and -43/18.
126
Let h(s) = 8*s**2 - 11*s + 4. Let a be h(-7). Let w = -916141/5 + 62458393/340. Let r = a - w. Find the common denominator of r and -143/6.
204
Suppose -516*k = 193*k - 64519. Let o = 46 - 33. What is the least common multiple of o and k?
91
Suppose -10259 = -408*i + 10141. Calculate the least common multiple of i and 1230.
6150
Let m be -13 + -2 + 0/(3/1). What is the common denominator of 918/8925*m/(-4) and 131/42?
210
Let u = 2 + 8. Let j = -116 + 111. What is the least common multiple of (0 - 6)/(-3 + j - -6) and u?
30
Let o = -3/20479 + -532433/143353. Calculate the common denominator of o and 10/153*-6*4.
357
Suppose 1267 = 3*n + 76. Let k = -1256/3 + n. Let x = 8/95 - 3033/1045. What is the common denominator of x and k?
33
Let x = 2/34503 + -1529933/5175450. Calculate the common denominator of x and 89/180.
900
Let c(a) = a**2 - 2*a - 44. Let n be c(-7). Calculate the common denominator of 31/32 and ((104