 Calculate the least common multiple of w and q(-3).
12
Let d = 87618/55 + -25189781/17160. Let z = d - 1587/13. Find the common denominator of z and (-4)/(-6) - 217/96.
96
Find the common denominator of -69/250 and 5/((-12950)/1922) + (-6)/(-14).
9250
Let j(o) = -o + 14. Let k be j(7). Let s be ((-30)/(-9))/(k/(-21)). Let r(q) = -q**3 - 12*q**2 - 22*q - 9. What is the lowest common multiple of 10 and r(s)?
110
Suppose 586 = 46*c - 137*c + 1587. Calculate the smallest common multiple of c and 8159.
89749
Let j = 304 + -1549/5. Find the common denominator of 13/(-14)*(28 + -32) and j.
35
Let v = 28 + -23. Suppose -4*j + 3*j = -k + 197, v*k - 986 = 4*j. Suppose 14*m = 3*m + k. Calculate the least common multiple of m and 130.
1170
Let r(z) = 3*z - 12*z + 4*z + 2*z - 5. Let c = -264 - -270. Calculate the least common multiple of c and r(-5).
30
Let z = 8995/642 - 19/107. Find the common denominator of z and 50/21.
42
Let s be 22433/2*5/(-11). Let u = 5094 + s. Calculate the common denominator of 119/10 and u.
110
Suppose 0 = -120*a + 109*a + 44. Suppose -3*q - 4*n = -76, -a*q + 92 = -0*q + 3*n. What is the least common multiple of 20 and q?
20
Calculate the smallest common multiple of 72 and 5284/14 - 1896/(-3318).
1512
Let h(o) = 5*o**2. Let d be h(1). Suppose d*n = 3259 - 259. Calculate the smallest common multiple of 22 and n.
6600
Suppose 3*r - 1 - 5 = 0. Suppose 8*j - 100 = -44. Calculate the least common multiple of r and ((-2)/7)/((-1)/j).
2
Let p(q) = 6*q**2 - 102*q + 44. Calculate the lowest common multiple of 20 and p(-9).
7240
Let g(k) = -k**3 - 53*k**2 + 130*k + 1114. Suppose -540 = -4*w - 180. What is the lowest common multiple of w and g(-55)?
630
Let u be (-1 - 52) + (-16)/(-12)*3. Suppose 2*o + 44 = n, 0*n - 4*o - 36 = -n. Let g = n + u. What is the smallest common multiple of g and 10?
30
Suppose 5*v = 1039*s - 1038*s + 17, s + 3 = 3*v. Calculate the lowest common multiple of s and 1251.
2502
Let u = -3515 + 35091/10. What is the common denominator of -62/235 and u?
470
Let x = -359483 + 625500403/1740. Find the common denominator of x and -65/4.
1740
Let w = 43726183/10 - 4368470. Let j be (49668/(-48))/((-1)/(-4)) + -1. Let x = j + w. Calculate the common denominator of x and -3/11.
110
Let b be ((-57)/(-6) - 6)*(-460 - 0). Calculate the common denominator of (-6)/9*23/12 and (-23)/(b/580)*(-7)/(-12).
18
Suppose 0 = -s - 29 + 54 + 1. Let d(h) = h**3 + 6*h**2 + 3. Let u be d(-6). Suppose -2*k - u*k = -20. What is the lowest common multiple of s and k?
52
Suppose 0 = x - 2*x + 2*g - 1123, g + 1123 = -x. Let h = x - -8969/8. Calculate the common denominator of -11/20 and h.
40
Let c = 10 + 64. Suppose -3*j = 2*i - c, -3*i - 2 = -5. Calculate the least common multiple of (-6 - -30)*(-3)/(-6) and j.
24
Let w = 1151491/6 - 192701. Let m = 1607/2 + w. What is the common denominator of 5/33 and m?
33
Suppose 2*n - 63 = 5*h - 86, -4*h + 40 = -7*n. What is the lowest common multiple of 3540 and h?
3540
Let q = 24753 - 24676. What is the smallest common multiple of 378 and q?
4158
Let l be 3/4 - (6 - (-490819)/420). Let b = l + 1175. Find the common denominator of b and 13*(4/(-3) - -1).
15
Let h be (-1)/(-6)*-1 - 219/(-18). Let k be 40/h + (-16)/12. Suppose 3*o + k*o + 4 = a, -5*a - 4*o + 49 = 0. Calculate the smallest common multiple of 8 and a.
72
Calculate the smallest common multiple of (-1)/(51/(-17) + (-38)/(-12))*-384 and 108.
6912
Suppose 0 = -2*v + 5*v. Suppose v*k = -3*k + 12. Find the common denominator of -11/24 and 1396/240 - 1/k.
120
Let q = 11714 + -11604. What is the smallest common multiple of q and 45?
990
Let w = -9154 + 9450. What is the smallest common multiple of w and 40?
1480
What is the common denominator of -67/650 and (-53)/(-10 - (8 + -28))?
650
Let x = -103225193/504 + 204812. Calculate the common denominator of x and 87/40.
2520
Suppose 305*h - 141*h - 147*h = 1105. What is the least common multiple of 285 and h?
3705
Let q(f) = -f**3 + f**2 + f. Let l(u) = 3*u**3 - 16*u**2 + 17*u + 2. Let o(g) = -l(g) - 5*q(g). What is the least common multiple of 16 and o(2)?
112
Calculate the smallest common multiple of 11 and 7*107958/(-399)*2/(-4).
10417
Let m be ((-22)/(-33))/(4/(-6)) - -8. What is the least common multiple of (m/21)/((-1)/(-3)) and 71?
71
Suppose 551 + 529 = 30*m. Calculate the least common multiple of m and 16.
144
Suppose -p = -2*t - 567, 275 = -3*t + p - 573. Let u = -272 - t. Calculate the least common multiple of u and 31.
279
Let p(v) = 255*v**2 - 41*v - 87. Let f be p(-2). Calculate the common denominator of f/252 + -6 + 1 and 73/54.
108
Suppose 2*x - 6*s + s = 209, x + 4*s - 111 = 0. Let b = -8 + x. What is the smallest common multiple of 21 and b?
693
Let s(u) = 39*u**2 + 1. Let b be s(1). Suppose 7*j - 2*j = -x + b, 5*j = -5*x + 120. Suppose 7*k - 2*k = x. What is the smallest common multiple of k and 9?
36
What is the least common multiple of 8 and 24/4 + (-17 + -9)/(-13)?
8
Let k = 17754/5 - 3562. What is the common denominator of 318/16*20/75 and k?
10
What is the common denominator of -53/210 and ((-44)/4620)/(30/(-351))?
1050
Let b = 3876 + -3821. Calculate the least common multiple of 190 and b.
2090
Let u = -386 - -526. Calculate the least common multiple of u/25 + (-6)/10 and 88.
440
Let s = 323 - -29. Calculate the common denominator of (3 + -7)*124/s and -59/872.
9592
Suppose 2*a - 10 = 0, -18*y + 5*a = -15*y - 29. Calculate the least common multiple of 192 and y.
576
Suppose i - 5 = -m, 5*i - 9 = -3*m + 4*i. Suppose -m*c = -5*h + 34, 11*h = 7*h + 4*c + 20. Calculate the lowest common multiple of 12 and h.
24
Suppose -2*i - 2*i - s + 28 = 0, 0 = -2*i - 2*s + 20. Suppose -i = -9*v + 8*v. Calculate the common denominator of ((-86)/20 + v)*(-70)/(-36) and -68/9.
36
Suppose -9*t + 4*t = -10. Suppose b + q - 3 = 0, -3*q + 2*q = -b - 7. What is the smallest common multiple of t + (4 - (0 + b)) and 88?
88
Let m = -300 + 294. Find the common denominator of -35/11 and m/(-4)*-3*2000/4560.
418
Suppose -320*p + 346*p - 17316 = 0. Calculate the least common multiple of 2664 and p.
2664
Let j = -70132649/10 + 7019287. Let s = j - 6032. Let q = 23984/11 - 2183. What is the common denominator of s and q?
110
Let a = 879 + -771. Suppose 2*z - a = -12. What is the smallest common multiple of z and 72?
144
Let p be ((-18735)/35)/((-10)/(-7)). Let j = -363 - p. Calculate the common denominator of j and -25/16.
80
Let w = -129232/31 + 4168. What is the common denominator of w and 830/(-4)*(-178)/890?
62
Let k = 154641 + -40206717/260. What is the common denominator of k and -173/120?
1560
Let j(i) = -i**3 - 4*i**2 + 2*i + 9. Let q be j(-3). What is the smallest common multiple of 44 and (112/(-12) + 2)*q/1?
44
Let y = 532 - -1184. Calculate the least common multiple of y and 624.
6864
Let w = 29/1240 - -21041/187240. What is the common denominator of 29/28 and w?
4228
Find the common denominator of (-102)/1275 + 4239/(-4200) and -1/126.
504
Let q be (2 + -2)*2/4. Let f(t) = 3*t**2 + 34*t - 941. Let n be f(-30). Suppose 9*p - n - 35 = q. Calculate the least common multiple of 5 and p.
430
What is the common denominator of -2 - (243/(-35) + 3) and 3/180*52/2?
210
Let t = -211229/60 + 3520. What is the common denominator of t and 48/13?
780
Let g = -253 + 359. What is the least common multiple of 1/((-2)/(-57)) + 53/g and 6?
174
Suppose 0 = 2*c + 5*n - 385, -5*c + 51*n = 46*n - 1015. Calculate the least common multiple of c and 20.
200
Find the common denominator of 127/90 and ((-262059)/16380 + 16)/(((-54)/28)/(-9)).
1170
Suppose 0 = 2*u + 2, 7*m - u = 9*m - 499. Let k = m + -240. Calculate the least common multiple of k and 2.
10
Let k be -2 + (-7846)/(-2000) + 0. Let p = k - 6/125. Let z = 3667/154 - 24/77. Calculate the common denominator of z and p.
8
Let m = 2/44697 + -59686/2011365. What is the common denominator of -109/558 and m?
8370
Suppose j - d = 1851, 5*j + 22*d = 25*d + 9265. Calculate the least common multiple of j and 232.
1856
Suppose 2*o - 44 - 68 = 0. Let f(u) = 3*u**2 - 426. Calculate the lowest common multiple of f(12) and o.
168
Let p(n) = 2*n**2 - 8*n + 8. Let m be p(4). What is the common denominator of (3/(-9))/(2/m*-66) and 26/33?
99
Suppose -5*c = -b - 11, 5*b - 9*c + 8*c