, -3*h + 1533*x + 39678 = 1532*x. What is the least common multiple of h and 1?
13229
Let w(b) = 12*b**2 - 140*b - 40. What is the smallest common multiple of 4 and w(13)?
168
Let k = -233 - -118. Let m = k - -117. What is the lowest common multiple of m and 192?
192
Suppose 136*d + 198 = 147*d. What is the least common multiple of ((-48)/(-20))/(6/200) and d?
720
Let q = -5/318 - 3125/3498. Let u = 177/110 + q. What is the common denominator of 114/32 - (3 + -5) and u?
80
Let l(g) = -g**3 - g**2 - g. Suppose 49*h - 139*h + 492 = -498. What is the smallest common multiple of l(-2) and h?
66
Let w = -2/5417 - -135483/157093. Let p = 1269/580 + w. What is the common denominator of ((-4)/(16/11))/(-16) and p?
320
Let z(l) = 6*l + 2 - 5*l**2 - 3*l + l - 61*l**3 + 60*l**3. Let d be z(-4). What is the lowest common multiple of (-16)/(-3)*d/(-4) and 36?
360
Suppose 0 = -5*l + 3*s + 1826, -2*l + 15*s + 715 = 16*s. What is the lowest common multiple of l and 1444?
1444
What is the lowest common multiple of (-7)/(20 + 1) - (-562)/3 and 1683?
1683
Suppose 2*n - 2*p = 2382, 0 = 1001*n - 1003*n + p + 2379. Calculate the lowest common multiple of n and 396.
1188
Let n = 22 - 48. Let x be 598/(-105) + n/65. Let p = -4051/420 - x. Calculate the common denominator of p and 81/20.
20
Let c be (16122/(-21))/(27/(-217)). Let o = c + -6169. Calculate the common denominator of 1/51 and o.
459
Let u(b) = -b**3 - 51*b**2 - 8*b - 257. Calculate the lowest common multiple of u(-51) and 4.
604
Let m be 1 - ((-4)/14 - 2055/35). Suppose 0 = -6*d - 4*d + m. Let t(q) = q**3 - 8*q**2 - 8*q + 3. What is the least common multiple of d and t(9)?
12
Suppose 0 = -16*z - 14 + 62. Suppose z*n - 116 = 388. What is the smallest common multiple of 1/(1 - (-1)/(-2)) and n?
168
Let k be (-66)/(-12) - 6 - (-3)/2. Find the common denominator of 1 + k/((-40)/205) and 3288/(-160) - (-3)/(-15).
8
What is the least common multiple of (-90)/(-15) + (-1 - 4) - (-6 - 167) and 87?
174
Suppose -2*v + 4*v = 3*z - 5, 0 = v + 1. Suppose 2*k - 5 = -o, -4*o - 4 = -k + 3. Calculate the least common multiple of -5*(4 - 5) - z and k.
12
Let p = -66782/21 - -3177. Suppose 5*n - 2*n = -168. What is the common denominator of p and (n + 30)*(-4)/(-18)?
63
Suppose a - 91 = -2*x - 96, 0 = -3*a + x + 20. Let k = 4 + 1. Calculate the least common multiple of a and k.
5
Let m(l) = l**2 + 13*l + 86. Let z be m(-16). Suppose -22 + z = 14*w. What is the lowest common multiple of ((-56)/(-12) + -2)*9 and w?
24
Suppose -7*r = -5*r - 20. Suppose -4*u + 10 = 2*k, -r*u - 53 = -4*k - 7*u. Calculate the lowest common multiple of (6 + -4)*1/2 and k.
11
What is the common denominator of (-575036)/17360 - -23 - -10 and (93/2 + 2)/(-4)?
1240
Let d(b) = -24*b - 758. What is the smallest common multiple of d(-32) and 277?
2770
Let z(c) = -3*c**2 + 16*c + 329. What is the least common multiple of z(13) and 840?
840
Let b = -13971 + 461008/33. Calculate the common denominator of b and -32/33.
33
Let c(a) = a**3 + 131*a**2 + 96*a + 1322. Calculate the smallest common multiple of c(-130) and 3654.
40194
Let d = -172 + 291. Find the common denominator of 42/(-21)*d/(-20) and -26/35.
70
Suppose 0 = 2*q + 3*h - 73, -146 = 9*q + 5*h - 381. Let z = -3 - -15. Calculate the smallest common multiple of z and q.
60
Suppose 9*s - 7040 = 9*s - 22*s. What is the least common multiple of s and 200?
1600
Let u = -437 + 443. Let n = -25 + 41. Suppose n = 3*c - 3*k - 5, -c = -5*k - 19. Calculate the smallest common multiple of c and u.
12
Suppose 9 + 121 = 5*o. Suppose -3*f = 4*h + o, 0 = 5*f + 5*h + 19 + 16. Find the common denominator of -101/224 and -190*f/64 - 1.
224
Calculate the common denominator of 70/3 and (-6085)/(-2613) - 441/189.
2613
Suppose -3195 = -31*w + 4413 + 3707. Calculate the lowest common multiple of 30 and w.
2190
Let n be (3/(-5))/(2/(-6613)). Let k = 852 - -1123. Let h = k - n. What is the common denominator of -103/12 and h?
60
Let b(k) = -17*k + 6. Let z(a) = 15*a - 6. Let o(x) = -4*b(x) - 5*z(x). What is the lowest common multiple of 11 and o(-8)?
682
Let w(p) be the second derivative of p**4/12 - p**3 + 20*p**2 + 28*p - 1. What is the smallest common multiple of 25 and w(5)?
175
Let s be (-3*4)/(-3) - 1. Suppose 0 = 4*j + y + 75, -s*y + 14 + 1 = 0. What is the smallest common multiple of 2 and (11 - -1)/(j/(-15))?
18
Let k be (-4)/1 + (-4)/(8/(-6)). Find the common denominator of k*(-154)/(-63) - -2 and 83/72.
72
Let j(w) = 12*w**3 + 63*w**2 - 24*w + 8. What is the smallest common multiple of 17 and j(-5)?
3451
Let w = 3037/99 - 390/11. Suppose 5*t + 5*i + 7400 = 0, 212 + 5698 = -4*t - 2*i. Let l = t + 7314/5. Find the common denominator of w and l.
45
Let p(d) = -d**2 + 14*d + 81. Let l be p(16). Suppose -2*y = 2*f - 104, -3*f = -2*y + l + 70. Calculate the lowest common multiple of 15 and y.
165
Let d be (-19136)/39*-1*3/(-2). Find the common denominator of -10/11 and (4/10)/((-48)/d).
165
Let c be (510/(-20))/(1/(-190)). Find the common denominator of (c/3040)/(13/10 + -1) and 5139/(-1782) + 2/18.
176
Suppose 0 = 23*n + 2896 + 784. Let r be (-3)/(-2) - (9 + (-1362)/(-12)). Let j = r - n. Calculate the least common multiple of 24 and j.
312
Let w(s) = -s**3 + 7*s**2 - 37*s + 243. Let k be w(6). Suppose 61 - k = x. What is the lowest common multiple of x and 10?
20
Let s = -19 + 20. Let w(a) = -4*a**2 - 15*a + 21. Let f(z) = z**2 + 3*z - 4. Let r(t) = 11*f(t) + 2*w(t). What is the least common multiple of r(s) and 11?
44
Let u = 19/10 - 1057/330. Let i = 13973 + -461147/33. Calculate the common denominator of i and u.
33
Suppose 8 = 2*j - 2*g, 2*j + 3 - 9 = 3*g. Let o = -4 - -5. What is the smallest common multiple of 1/((3 - o)/24) and j?
12
Suppose -5*h = 4*k - 772, -3*k + 5*k - 776 = -5*h. Find the common denominator of 22/5 and 575/h*(-22)/110.
780
Suppose -4*z = -7*z + 84. Let o(a) = -63*a - 119. Calculate the smallest common multiple of z and o(-2).
28
Let v(o) = -13*o - 52. Let t be v(-4). Find the common denominator of (-74)/(-185) - ((-61)/(-1090) - t) and -127/6.
654
Let u(c) = -3*c + 42. Let r be u(-22). Calculate the least common multiple of r/(-9)*3/(-4) and 16.
144
Calculate the least common multiple of ((-588)/140 + (-12)/(-2))*10 and 52.
468
Let j = -45394712 + 2360428453/52. Let r = j + 1399/156. Let t = -1838 - r. Calculate the common denominator of t and 11/30.
30
Let z(j) = -3*j**2 - 1. Let t be z(-4). Let l = 52 + t. What is the common denominator of l/18*(-1305)/50 and 15/16?
80
Let o = 48856 + -2784715/57. Let b = o + -5803/456. Let h = 53/110 + -1409/550. What is the common denominator of b and h?
200
Let a = 877 - 1786. Let q = a + 915. Calculate the lowest common multiple of 4 and q.
12
Let z(t) = -3 + 96*t - 56*t - 46*t. Let c be z(-4). Suppose -c = m + 5*v, -2*v + 18 = 2*m - 4*v. Calculate the smallest common multiple of 12 and m.
12
Let c = -61/273 - -67/42. What is the common denominator of -41/273 and c?
546
Let m be (-9)/((-9)/10) + (-4 - 0). Suppose 82*d + m = 83*d. What is the smallest common multiple of 8 and (9/d)/(9/66)?
88
Let b(f) = 23*f**2 - 4*f + 3. Let r be b(2). Suppose -22*l + 89 + r = 0. Calculate the least common multiple of 26 and l.
104
Find the common denominator of ((-54)/(-12))/((-273)/36) and ((-1 - -2) + -4)*2 - 732/(-78).
91
Let m be (-424762)/(-72) + ((-69)/(-12) - 6). Let s = 5893 - m. What is the common denominator of s and -15/7?
63
Let u = -30 - 1. Let y = -50 + u. What is the common denominator of -2*1/4*y/7 and 1/20?
140
Let r be -3 - (2122/(-10) - -1). Let a = 209 - r. Let h = 1/84 - 653/168. Calculate the common denominator of h and a.
40
Let s(f) = 2*f + 18. Let k be s(-8). Suppose k*i + 19 - 43 = 0. What is the common denominator of i/(-616)*64 - 9/(-21) and -79/10?
110
Let v = -15716 + 518569/33. Let i be (-12 - (-69102)/(-36))*2/1278. Let g = i + 45/71. What is the common denominator of v and g?
198
Let n(m) = -2293*m**2 + 2*m + 22. Let j be n(-5). Let c = j - -3667957/64. Calculate the common denominator of c and 21/40.
320
Suppose 5*t = n - 14, -2*n + 48 = -4*t - t. Calculate the common denominator of (-3 - n/54) + 2 and -2 + (-338)/(-54) - 2.
27
Suppose -9*v - 60 = -19*v. Let m(r) = 3*r**2 - 17*r + 12. Calculate the lowest common multiple of m(v)