/3 - (-168)/9.
18
Let l = -42745/1026558 + -2/4797. What is the common denominator of -3/107 and l?
214
Let t(w) = w**2 - 20*w + 56. Let o = 373 - 355. What is the smallest common multiple of 35 and t(o)?
140
Let n be (5*(-1)/(-6))/(16/(-16592)). Let u = n - -883. Calculate the common denominator of u and (-2 - (-24)/(-2))*52/(-64).
24
Let n(c) = -6*c + 6. Let w be n(3). What is the common denominator of (-2)/(24/(-5)*(-60)/333) and w/(-48)*122/64?
128
Let z = 10 - 20. Let m = -330 - -342. Calculate the least common multiple of (16/(-10))/(z/100) and m.
48
Calculate the smallest common multiple of ((-3465)/42)/(27/(-396)) and 726.
3630
Let s = -112218911001217/192062449394580 + 2/7603422383. Let z = 2/2105 + s. Find the common denominator of z and (-562)/(-330) - 4/10.
132
Suppose 0 = -45*l + 18*l + 81. Suppose 0 = -b + 6. Calculate the smallest common multiple of b and l.
6
Let k = 2188 + -21837/10. Calculate the common denominator of 323565/(-32406) + 38 - 28 and k.
4910
What is the common denominator of -19/125 and 5*(-5469)/2625 + 10?
875
Let n be 36 + ((72/(-4))/6 - 0). Suppose 5*b - f = 265, 4*f + 1 + n = b. What is the smallest common multiple of b and 57?
1026
Suppose -10 - 42 = -13*o. Let w(c) = c**3 + 3*c**2 - 19*c + 6. Calculate the least common multiple of w(o) and 18.
126
Let t(h) = -h + 27. Let z be t(18). Suppose 48 = 17*v - z*v. Suppose -5*r + 6*r = v. What is the least common multiple of 14 and r?
42
Suppose -4*z + 17 = -3*q, 4*q + 3 = 3*z - 1. Calculate the least common multiple of 66 and (-3)/z + (-88)/128*-18.
132
Let y(o) = o**3 + 3*o**2 + 3*o + 2. Let j be y(-2). Suppose -10*n + 15*n = j. Suppose n = 2*f - 0 - 6. Calculate the smallest common multiple of 10 and f.
30
Suppose -v - 2*d + 1 = -27, -140 = -5*v - 2*d. Let p = -181687/7518 - -1/3759. Calculate the common denominator of p and 2/v*(-4753)/(-42) - 1.
12
Let f = -6683158/77 + 642696/7. Let o = f - 5016. Calculate the common denominator of 43/83 and o.
913
Let f = 1/21447 - 2080375/343152. Calculate the common denominator of -87/6560 and f.
6560
Let a be (8 + 175/(-21))/((-1)/18). Find the common denominator of 1/81 and (67/a)/(54/12).
81
Suppose 0 = -20*t + 357 - 197. What is the least common multiple of t and 428?
856
Let f(c) = c**3 - 8*c**2 + 5*c + 14. Let r be f(9). Suppose 2*v = 4*q - r + 32, -2*q - 4*v + 54 = 0. What is the lowest common multiple of 90 and q?
270
Let x = -69 + 108. Let s = -45 + x. Calculate the common denominator of 35/9 and 404/s*(-6 + (-119)/(-20)).
90
Let o(n) = -n**3 + 13*n**2 + 13*n + 16. Let t be o(14). Let y(a) = 0*a**t + 0*a + a**2 - 3*a - 190 + 173. What is the smallest common multiple of y(-4) and 1?
11
Let w be ((-56)/21 - (-2)/3) + -6. Let v(j) = -3*j + 9. Suppose -2*h = h - 27. What is the lowest common multiple of h and v(w)?
99
Suppose -24 = -7*i + 46. What is the common denominator of ((-5)/(20/126))/(25/i) and -103/26?
130
Let t(u) = -6*u**2 - 87*u + 17. Let n be t(-7). Let q = n - 230. Suppose 2*i - 4 = 6. Calculate the smallest common multiple of q and i.
510
Let t be (2 - (-52)/4)/(-1). Suppose -13 = -4*q - 3*w, 4*q + 4*w = -w + 11. What is the smallest common multiple of (-9)/(-15) + (-141)/t - q and 20?
60
Suppose -77 - 83 = 32*r. Let u(a) = 2*a**2 + 13*a + 39. Calculate the smallest common multiple of u(r) and 189.
1512
Let q = -9 + 23. Suppose 3*l + 0*g - 4*g - 231 = 0, -2*g - 231 = -3*l. What is the lowest common multiple of q and l?
154
Let d(j) = -9*j**2 - 5*j - 12. Let z be d(-24). Let i = z + 558301/110. Find the common denominator of 43/12 and i.
660
Let w be (-15)/(-10) - 168/(-16). Find the common denominator of 56/11 and (-2)/(-5) + w + 96330/(-7825).
3443
Let g = -19/123 + 5983/246. Let y = -17 - -23. What is the common denominator of g and 172/(-16) - y - 0/(-2)?
12
Let u = 46 + -149/6. Let w(j) = j**3 - 2*j**2 - 6. Let t be w(3). What is the common denominator of 3 + 11*t/(-42) and u?
42
Let o = -1236448929/40 + 30913513. Let f = 2290 - o. What is the common denominator of -67/28 and f?
280
Calculate the common denominator of (714/(-4176))/(45/90) and -13/1218.
2436
Let t be (-4)/(-5)*(-6 + 11). Suppose 3 = -3*a, -n + t*a = 2*a - 4. Calculate the least common multiple of n and 6.
6
Let l(d) be the first derivative of -3*d**4/2 + 2*d**3/3 - d**2/2 - 2*d + 3. Let t = 376 + -377. Calculate the least common multiple of l(t) and 1.
7
Let p be (126/(-15))/((-3)/(-10)). Find the common denominator of (-165)/18 - (-4)/(-3) and (2 + 106/p)*5/(-20).
56
Let o(c) = c**3 + 17*c**2 - 151*c + 44. What is the least common multiple of o(-23) and 28?
1372
Suppose p + 2 = h + 5*p, 0 = 4*h - 3*p + 11. Calculate the least common multiple of (-127)/h - 16/32 and 24.
504
What is the smallest common multiple of (1/11)/(238/1309)*(2022 + -2) and 808?
4040
Suppose 0 = 2*s - 2*u - 608, 5*s - 1496 = 33*u - 34*u. Calculate the lowest common multiple of 48 and s.
1200
Let z(t) = -4*t**2 + t + 8. Let n(i) = i**2 - i - 1. Let k(s) = -3*n(s) - z(s). Suppose -7*l + 4 = 39. Calculate the smallest common multiple of k(l) and 20.
20
Let g(a) be the first derivative of -2*a**2 - 10*a - 11. Suppose 5*c - 22 = -4*m, 0*c - m + 16 = 3*c. Calculate the least common multiple of g(-3) and c.
6
Suppose -s = -5*q - 6*s + 1180, 4*s + 1135 = 5*q. Find the common denominator of -20/33 and q/(-126)*11/2.
132
Let k be (-69)/(-115)*59*(-3)/6. Let l = k + 4687/260. What is the common denominator of l and -25/32?
416
Let u = -223/19 + 14167/1254. Find the common denominator of u and -29/28.
924
Suppose -b = -4*c - 1080, c - b = b - 270. Calculate the common denominator of -11/10 and c/5994*(-1)/(2/6).
370
Let n = 12572/5 + -2504. What is the common denominator of ((-18)/(-20) - 1)/((-145)/87) and n?
50
Let m be 958/(-3*(-2)/6). Let z = m - 15313/16. Let y = -3300 - -13265/4. Calculate the common denominator of z and y.
16
Suppose -2*a = -5*a - 51. Let r = 33 + a. What is the lowest common multiple of -3 - -134 - (-7 - 8/(-4)) and r?
272
Let x = -292883/8 - -36615. Calculate the common denominator of x and 73/4584.
4584
Calculate the common denominator of -18 + 33 + 1796/(-96) and -1/66.
264
Suppose -15*x = 30, -3*d + 4*x + 36 = -26. Calculate the smallest common multiple of 3820 and d.
34380
Let u(x) = 22*x - 48. Let p(f) = 2*f - 10. Calculate the lowest common multiple of p(8) and u(3).
18
Calculate the smallest common multiple of ((-15)/(-9) + -1)/(8/360) and 198.
990
Let c = 103/12 - 343/36. Find the common denominator of c and 238/120*(-5010)/13360.
1440
Let y(q) = q + 5. Let p(v) = -8*v + 14. Let c be p(-16). Let s = c + -136. What is the lowest common multiple of s and y(6)?
66
Calculate the lowest common multiple of 24 and 186 - (8/6)/(32/(-144)).
192
Suppose -6*f + 39 + 81 = 0. Suppose f*q = 14*q + 336. Calculate the least common multiple of 36 and q.
504
Let y(a) = 10*a - 33. Let r be y(-5). Let s = r - -92. Suppose -h - 11 - s = -v, 4*v - h - 65 = 0. Calculate the smallest common multiple of v and 27.
135
Let h(u) = -2*u**3 - 39*u**2 - 42*u - 248. What is the least common multiple of 693 and h(-19)?
2079
Let c = 183 + -170. Calculate the common denominator of (c/(-10))/((-240)/(-500)) and -65/12.
24
Let i(o) = 11*o + 33. Let w be i(1). What is the smallest common multiple of 99 and w*((-5)/(-3) + 20/(-30))?
396
Calculate the common denominator of 27/5 and (19 + (-135)/7)*(-847)/2760.
1380
Let t(n) = -n**2 - 9*n + 2. Let x = -188 - -204. Suppose -x*f + 86 = -26. What is the lowest common multiple of f and t(-6)?
140
What is the common denominator of 85/84 and ((-759)/(-7590))/((-444)/1030)?
3108
Let y(o) = 3*o - 1. Let s be y(10). Suppose -24*z - 280 = -s*z. Calculate the smallest common multiple of 10 and z.
280
Let g = 5376 + -4939. What is the smallest common multiple of g and 171?
3933
Calculate the common denominator of 41/42 and ((-64)/49)/(12 - 1218/98).
42
Let m(i) = i**3 - 6*i**2 - 27*i + 12. Let a be m(9). Find the common denominator of 7/18 and a + (-6 - 2) - (-838)/(-276).
414
What is the common denominator of 2 - (28/16)/((-222)/(-258)) and -6/37?
148
Let s(r) = -182*r + 1030. Calculate the smallest common multiple of 60 and s(5).
120
Find the common denominator of ((-604)/(-20)*-1)/(((-25488)/30)/(-6)) and 38/21.
4956
What is the co