What is the least common multiple of 60 and b?
1020
Suppose 0 = u - 16*u - 90. Calculate the common denominator of (-75)/(-500)*(-55)/u and 2/(-4)*(-50)/(-4).
8
Let d(p) = -2*p**2 + 77*p - 164. Calculate the least common multiple of d(36) and 1960.
3920
Suppose -4*y - 56 = -16. Let z = 22 - y. Let b = 436578 - 436558. What is the lowest common multiple of z and b?
160
Let z = -1 - -10. Let u = z + 1. Let n(c) = -c**2 + 12*c + 1. What is the smallest common multiple of n(u) and 18?
126
Let j = 46658021/270 - 172807. Calculate the common denominator of 77/75 and j.
1350
Suppose -m - 5*y + 473 = -6*y, -2*y = -m + 476. What is the common denominator of m/4*4/400 and 23/16?
80
Suppose -5*c + 4*u = -20, 0 = -4*c - 0*u - 2*u + 42. Let j = 17 - 14. What is the least common multiple of -1 + j - 36/(-9) and c?
24
Suppose 0 = -3*y - 3*t + 660, -t + 1130 = 5*y - 2*t. Let n = -22/119 - 464/3927. Find the common denominator of ((-16)/(-30))/((-54)/y) and n.
99
Let k(i) = -10*i + 13. Let y(w) = 29*w - 38. Let l(t) = 11*k(t) + 4*y(t). Let g be l(4). Find the common denominator of 6*1/g - (-746)/60 and -127/6.
6
Suppose 2*c + 5*b + 17213715 = 2*b, 3*c = -b - 25820583. Let w = c - -215201192/25. Let h = 1188 - w. What is the common denominator of h and 67/2?
50
Let c = -30919671/196 - -157753. What is the common denominator of c and 29/20?
980
Let j = 5/57 - 3331/285. Let b be 6 - (-3 + 0 - -1). What is the common denominator of j and ((-2)/(-8))/(b + (-4460)/556)?
60
Suppose 5*u = 0, 3*g = 10*u - 7*u + 1614. Let o = -524 + g. What is the smallest common multiple of o and 4?
28
Let j(f) = f**3 + 21*f**2 + 23*f - 24. What is the lowest common multiple of j(-6) and 36?
756
Let d = 324982753/172340 + 384459/1231. Let j = d - 10971/5. Calculate the common denominator of -93/68 and j.
476
What is the least common multiple of (-4664)/(-37) - (-88)/(-1628) and 12?
252
Let c = 39 + -25. Suppose -39*l = -12267 - 42879. Suppose -13*t - l = -5704. What is the lowest common multiple of c and t?
2310
Calculate the common denominator of 22/3497 and (-9)/(-24) - (-36)/(-1614)*(-506)/(-33).
27976
Suppose -538 = 3*n + 2*b, 2*b = -3*n - 2*b - 530. What is the common denominator of 1*(-3)/40*n/(-3) and -77/32?
160
Let a = 21080/3 + -2466328/351. What is the common denominator of 187/1890 and a?
24570
Let v = 7969/4 + -1971. What is the common denominator of v and 12/138 - (-19747)/(-3588)?
12
Let c = 455 - 362. Let i = 105 - c. Suppose r - 5 = 31. Calculate the least common multiple of r and i.
36
Suppose -47*r + 626 = -4363 + 759. What is the smallest common multiple of 60 and r?
180
Suppose 2946 = 2*r + 2*u, -2*u - 3045 - 1389 = -3*r. Calculate the lowest common multiple of r and 12.
1476
Let u = -3422 + 3442. What is the smallest common multiple of u and -1*(-2)/(-3)*-9?
60
Let i = 9090449/166 + -54762. Find the common denominator of (8/(-16)*6 - 8)*(-5)/(-2) and i.
166
Suppose -22876 = 2*s - 4*r, -s + 4*s - 5*r = -34313. Let i = s + 114259/10. Find the common denominator of i and (-6)/(-14) + 1/((-756)/6078).
90
Let m = -594/71 - -71377/8591. Let s = -27217/10 - -2717. Find the common denominator of m and s.
1210
Suppose d = 3*o - 104, 4*d = -4*o + 99 + 61. Suppose 2*n + 5 = -r, 2*r - 39*n + 9 = -44*n. Calculate the least common multiple of o/84 + (-137)/r and 16.
80
Let k(p) = 3*p**2 + p - 12. What is the lowest common multiple of k(-3) and 438?
876
Let m(u) = -2*u - 4. Suppose -3*w - 3*i - 21 = 0, -2*w = 2*w - 3*i + 21. What is the lowest common multiple of 1/4 + 332/16 and m(w)?
168
Suppose -o - 2*o + 3*m + 195 = 0, 5*o - 2*m = 310. Calculate the lowest common multiple of o and (-35)/(-3)*((-43641)/(-35217) - (-2)/43).
60
Suppose -145 + 1 = -11*r - r. Calculate the least common multiple of r and 468.
468
Suppose 5*m - 376 = -4*i - 68, 4*i + 472 = 8*m. What is the smallest common multiple of m and 180?
180
Let n(k) = k**2 - k + 1. Let d be n(1). Let z = d + 5. Let r = 639397 + -639375. What is the smallest common multiple of z and r?
66
Let c = -2451209/6 - -409649. Let a = 5576/5 - c. Let p = -326/5 + 4547/60. Calculate the common denominator of a and p.
60
Suppose 5*u - 36 = -3*c, -3*c - 2*c = -5*u + 60. Let a(n) = n**3 - 16*n**2 + 504*n - 4930. What is the lowest common multiple of u and a(11)?
9
Let b = 8060 - 7436. Calculate the smallest common multiple of b and 8.
624
Let h = 34 - 31. Calculate the least common multiple of h and (1 + 89)*336/280.
108
What is the least common multiple of (-10192)/(-91)*(-1)/(-1) and 70?
560
Calculate the common denominator of 6366/(-1050)*1 - (-42 - -36) and 109/42.
1050
Let j be (10 + 1)*(-1 - -2). Let u(w) = 6*w**2 + j*w**2 - 3*w + 4*w**3 - 4*w + 4 - 15*w**2. What is the smallest common multiple of 21 and u(2)?
210
Suppose 16 = -4*u - t + 65, 0 = -2*u + t + 35. Calculate the lowest common multiple of 176 and u.
1232
Let f = 52 + -232. Find the common denominator of 3 + 0 - (-4089)/(-470) and (2/f)/(5/430).
90
Calculate the least common multiple of 16 and -28*(6 + -4)*-1*8.
448
What is the common denominator of 115/84 and (-651)/(-3528)*18*(0 - 20/(-162))?
756
Suppose -27 = -2*s + 3. Calculate the common denominator of 902/(-273) - 18/234 and (0 - (-50)/(-144))*s.
168
Let v = 35999248 + -10295764509/286. Let g = v - 950/13. Find the common denominator of 1/1 + (-127)/10 and g.
110
Let p = 186 - 186. Let n = -181/4 + 46. Find the common denominator of n and p - 2 - -6 - 1128/160.
20
What is the smallest common multiple of (24/(-64))/(1*(-9)/12168) and 26?
1014
Let v be (3 - 4 - -3)/((-8)/(-44)). Calculate the common denominator of -13/1182 and (-2)/v - 12142/(-2288).
4728
Let u(v) = -v**2 - 8*v + 4. Let b = -69 - -61. Let a be u(b). What is the common denominator of ((-595)/180)/(a/(-6)) and -31/33?
264
Let g(h) = -h**2 - 3*h + 7. Let j be g(-4). Suppose 0*w + 69 = 2*w - 3*c, 4*c = j*w - 101. What is the lowest common multiple of 12 and w?
108
Let q = 1 + 4. Suppose -2*s = -5*t - 21, s - 10 = q*t + 8. What is the least common multiple of ((-3)/2)/(2/(-4)) and s?
3
Suppose -2*t + 358 = 4*h - 0, -3*h + 271 = 4*t. Let i be (8/4)/(2/40). Suppose i = 6*j - 2*j. What is the smallest common multiple of h and j?
890
Let t = -77212/11 + 7015. Let q be (-2)/4 + (-1783731)/(-252). Let h = q - 28297/4. Calculate the common denominator of t and h.
462
Let g(x) = -x**2 - 2*x + 3. Let c be g(-6). Let k = 233 - 230. Let r = k - c. What is the lowest common multiple of 30 and r?
120
Suppose -16*n - 4*a = -15*n + 14, -3*a = 15. Suppose 0 = -0*u + 3*u - 21. What is the lowest common multiple of u and 48*((-4)/(-12)*n + -1)?
336
Let o = -2945357/8 + 367443. Let s(v) = 28*v**2 - 6*v + 2. Let w be s(-5). Let m = w + o. Calculate the common denominator of m and 59/2.
8
Let t(a) = -a**2 - 8*a - 26. Let z be t(-11). Find the common denominator of -17/12 and (3/4 - (-172)/(-240))*z.
60
Let z = 621/4 + -1307/4. Let r = z - -169. Find the common denominator of 137/168 and r.
168
What is the common denominator of ((-540)/(-3300))/((-12)/(-370)) and -15/176?
176
Suppose -4*z + 4*w + 90080 - 8756 = 0, -4*w = 12. Let g be -1*(z/(-15) + 1). Let u = -2729/2 + g. Calculate the common denominator of -73/10 and u.
10
Let o = 262 - 258. Suppose -5*d + 126 = -o. Calculate the lowest common multiple of d and 4.
52
Let p = 32632 - 652631/20. What is the common denominator of p and (-1)/((-20)/59) + -1?
20
Calculate the lowest common multiple of 14 and (-188)/36*(-32 + 2)*15*1.
16450
Let r = -10657/196856 + -6/2237. Let j = -161537/16 - -10101. Find the common denominator of r and j.
176
Let c(h) = -7521*h**2 + h + 2. Suppose -v + 8 = 3*j, 2 = -3*v + 2*j + 2*j. Let g be c(v). Let z = -1142963/38 - g. Find the common denominator of 33/10 and z.
190
Let i(q) = -3*q + 28. Suppose 2*y = 3*k + 1 + 29, 28 = -2*k + 4*y. Let g = k + 24. What is the least common multiple of i(-8) and g?
208
Suppose 3*q - 46 = -5*n, 2*n - 32*q = -35*q + 22. Suppose 2*g - 5*a = -2*g + 188, 0 = -4*a - 16. Calculate the least common multiple of n and g.
168
Let x = -36128/21 + 1720. Let h = -7 + 18. Let g = h - 95/2. What is the common denominator of x and g?
42
Suppose -3*p - 31 = -5*g, 3*p - 7 = -4*g + 7. Suppose 2*k + 588 = -4*v + 6*v, 574 = 2*v + g*k. Calculate the least common multiple of 3 and v