8 - -13).
216
Let n = -1870 + 5660/3. Calculate the common denominator of (7 + (-438)/66)*(-1250)/(-240) and n.
66
Suppose 2*w + w = 12. Suppose -35*a + 43*a + 16 = 0. What is the least common multiple of w*(a + 3)*2 and 4?
8
Suppose m - 4*u - 944 - 1191 = 0, 0 = 4*m - 4*u - 8492. Calculate the smallest common multiple of m and 1141.
14833
Let l = 14/1919 + 55091/76760. Find the common denominator of 1/690 and l.
2760
Find the common denominator of 43/4175 and 122/18370 - (17 - (-4 + 21)).
45925
Let n = 5394 - 4688. Calculate the least common multiple of n and 22.
7766
Let h be 6/(-9) - (-2)/(960/2636). Let p = h + -21811/2680. Let i = p + 21043/5360. Calculate the common denominator of 55/7 and i.
560
Let q = 1 - -1. Suppose 6 = q*p - 5*p. Find the common denominator of 52/33 and (-3 - p - 0) + (-125)/6.
66
Suppose -4*h + 24 = -4*q, 2*q - h + 14 = -3*q. Let z = q + 4. What is the smallest common multiple of -7 - (-18 + 3 + 4 + 0) and z?
4
Let g = 2380493/582972 - 2/48581. Calculate the common denominator of g and (51/18)/(0 + 1).
12
Suppose 10 = -2*p, 2*p + 16 = -3*r - 0*p. Let x be 2615/4917 + (-5 + r - -5). Let n = x - 7/149. Find the common denominator of -157/30 and n.
330
Suppose 3*o + 10 = 70. Let n = -1924 + 1936. Let d = n + o. Calculate the least common multiple of d and 32.
32
Suppose 3*v + 3 = 4*p - 2, 4*v - 2*p + 10 = 0. What is the smallest common multiple of ((-14)/5 - v) + (-454)/(-5) and 3?
273
Let l = 0 + 31. Let f = -29 + l. What is the lowest common multiple of f and (-2)/(-8)*-10*-2?
10
Suppose -221*u + 6179 - 875 = 0. Let v(b) = 194*b. Let n be v(1). Calculate the smallest common multiple of n/7 + 8/28 and u.
168
Let o = 63202 + -10238653/162. Calculate the common denominator of -83/26 and o.
2106
Let q = -102479/44250075 + 1/76425. Let f = q - -1099/2316. Calculate the common denominator of f and 113/36.
36
Let q be 9375/105 + (-2)/7 - -3. Suppose -2*g = 4*a - q, 3*g = 2*a - 35 - 19. What is the lowest common multiple of a and 16?
48
Let r(b) be the third derivative of 3*b**4/8 - 8*b**3 - 40*b**2. What is the smallest common multiple of r(6) and 13/(10/4 - 2)?
78
What is the common denominator of (-13)/(-3) + (-3078)/(-1368) and (-2)/(8*(-30)/556)?
60
Let c = 423712137/20174 - 147020/7. What is the common denominator of c and 3/8?
11528
Suppose b - w - 139 = 0, -2*w - 525 = -4*b + 23. Suppose -91*o = -76*o - b. What is the lowest common multiple of o and 277?
2493
Let i = -589283/6 + 98615. Let s = i + -388. Find the common denominator of s and (-13)/3*(-15)/2.
6
Find the common denominator of -19/85 and (-142)/340*18/(14 - 50).
340
Let p = 251/1272 - 207/53. What is the common denominator of 7/278 and p?
3336
What is the common denominator of 1/12 - (-1)/(7080/(-886)) and 17/3?
885
Let z(o) = -o**2 + 9*o - 11. Let v be z(7). Suppose -b + 66 = -v*k, -2*b + 250 = 2*b - 5*k. Calculate the lowest common multiple of 3 and b.
60
Suppose -66*t + 52*t = -196. Calculate the lowest common multiple of 672 and t.
672
Suppose -493 = 2*r - 3*r + 4*f, 5*r + f = 2549. Let w = r - 221. What is the common denominator of 21/62 and (-1172)/w + (-4)/(-32)?
558
Let o = -13311 - -931751/70. Let p = -1735/7 + 1786/7. Calculate the common denominator of p and o.
70
Suppose 0 = 2*x - 2 - 14. Let c = -3734 - -3765. What is the least common multiple of c and x?
248
Find the common denominator of -145/198 and (-24)/32 - 9*(-5)/(1650/18).
1980
Let g(d) = 3*d + 35. Let s be g(-11). Let h be (7 - 8)/(s/(-6)). Suppose 5*l = 2*l - h, 0 = 3*w + 5*l - 7. Calculate the smallest common multiple of 11 and w.
44
What is the lowest common multiple of 150 and (-798)/(-20) - (-171)/1710?
600
Suppose -20 = -4*h, -3*b + 5*h = -142175 + 49803. Let g = b - 1232027/40. Find the common denominator of -27/16 and g.
80
Let m = -25133/10 + 2508. Suppose 23 = -3*c - 5*q, -7*c - 4*q - 22 = -4*c. Calculate the common denominator of (-4)/(56/c) + (-554)/280 and m.
20
Suppose 4*z = 4*j + 723 - 675, 5*z - 4*j = 54. Calculate the least common multiple of 126 and z.
126
Let v = -138106 - -697623/5. Let z = v + -1427. What is the common denominator of z and 16?
5
Let k be (-37900)/16*(-113)/15. Let i = k + -17857. Find the common denominator of i and -89/44.
132
Suppose -4*k + 29 = 1. Suppose -2*c = 539 + k. What is the common denominator of c/72 + 2 + 2*1 and 27/8?
24
Let n = -5679787/100 - -56797. What is the common denominator of n and -161/1500?
1500
Let n(d) = -5*d**2 - 83*d - 1. Calculate the lowest common multiple of 30 and n(-12).
1650
What is the common denominator of (-29 - -28)*210/(-1360) and -103/816?
816
Suppose -5*b + 2*d = -1856, 107*b + 1100 = 110*b - 8*d. What is the least common multiple of 12 and b?
372
Suppose 12*l - 7*l = -h + 490, 1492 = 3*h + 4*l. Calculate the lowest common multiple of h and 4.
500
Let j = -34 + 38. Suppose -5*d = l + 9, j*l + 17 = -2*d - 1. Find the common denominator of 17*(-12)/l*(-3)/33 and -33/17.
187
Suppose -2260*q + 2257*q + 72 = 5*c, -3*q = -6*c + 126. Suppose 2*h = 284 + 118. Calculate the least common multiple of h and c.
1206
Let b = 437/14 - 154/5. Find the common denominator of -92/273 and b.
2730
Suppose -28 = -2*h + g, 5*h - 3*h + 2*g - 40 = 0. Let z(w) = -w + 28. Let c be z(h). What is the common denominator of (135/c - -1) + 2 and -57/22?
44
Let v = -214 - -214. Suppose v = -b - 5*m + 17, -m = 8*b - 9*b + 5. Calculate the lowest common multiple of b and 14.
14
Let f(k) be the first derivative of -93*k**2 - 15*k - 38. Let t be f(-2). Calculate the common denominator of -79/18 and 6/8*t/99 + -1.
396
Calculate the lowest common multiple of 4 - ((47/(-10) - -5) + 113517/(-90)) and 345.
3795
Let j = 11331 + -849874/75. What is the common denominator of j and -89/30?
150
Let p(s) = -57*s + 3962. What is the lowest common multiple of p(54) and 8?
1768
Suppose 614*v - 651276 = -73*v. Calculate the lowest common multiple of v and 288.
22752
Let i = 20 - 15. Let m(q) = -6*q + 72. Let k be m(20). Find the common denominator of -23/8 and (i - 11)/(-2) + (-62)/k.
24
Let c = 20 - 0. Suppose -15*d - 2*d + 510 = 0. Let m(u) = 9*u - 269. Calculate the smallest common multiple of c and m(d).
20
Let c = 17 - 12. Suppose z - x + 92 = c*z, 5*x + 46 = 3*z. Calculate the common denominator of -7/20 and z/(-20)*(-9)/(-18).
20
Let x(t) = t**2 - t - 18. Let i be 20/(-16) - 2/(-8). Let n(z) = -180*z**3. What is the least common multiple of x(5) and n(i)?
180
What is the smallest common multiple of 2 and (-12)/14*29/(203/(-4606))?
564
Suppose -105*f - 14*f + 12270 = -2962. What is the smallest common multiple of f and 190?
12160
Let f(v) = 84*v**3 - 6*v**2 + 8*v + 6. What is the smallest common multiple of f(2) and 16?
5360
Suppose -3*c + 260 = -4*l, 0 = 20*c - 19*c - 5*l - 94. What is the least common multiple of 9*4/12 + 33 and c?
252
Let j be 4*(203/(-84) - 5/(-3)). What is the least common multiple of (-38)/j*(-198)/(-44) and 5?
285
Let g be 1404/168 - (10/8)/5. Let f = -8033/756 + g. Calculate the common denominator of f and 11/24.
216
Suppose -44 = -7*l + 3*l. Suppose -5*w + 15 = 0, -4*k + 4*w - 9*w = -347. Calculate the least common multiple of k and l.
913
Let d = -165890 - -165900. Suppose 5*z - 200 = -5*j, 5*j = -2*z + 24 + 68. What is the smallest common multiple of z and d?
180
Let y = 296805 - 16326627/55. Let j = -232/5 - y. What is the common denominator of j and 47/49?
539
Let h = 10 + 45. Let b be ((8/8)/(-1))/(3/141). Let n = b + h. What is the lowest common multiple of n and 12?
24
Let a(x) = x**3 + 44*x**2 - 50*x - 198. What is the lowest common multiple of 14 - (3 - (5 + -1)) and a(-45)?
135
Let u = -11130287/104 - -107021. Calculate the common denominator of u and 101/156.
312
Suppose 5*a + w - 273 = 0, -2*w + 6*w - 28 = -a. Calculate the smallest common multiple of 472 and a.
3304
What is the common denominator of 9 - (2365/(-258) - 5*(3 - 4)) and ((-97)/(-5))/((-36)/(-15))?
12
Suppose -5*j = -2*p + 53, -3*j + 39 = p - 8*j. Calculate the lowest common multiple of p and 1/(-4) - (-420)/80.
70
Let o = -54561998/21 - -18118362/7. Let i(h) = 46*h**3 - 3*h**2 + 6*h - 8. Let l be i(6). Let t = o + l. What is the common denominator of t and 70/9?
63
Let b(y) = 7*y + 61. Let z be b(-9). Let q(w) = 5*w**2 + w - 3. What is the sma