
Let k(d) = d - 63. Let o(g) = -g**3 + 6*g**2 - 3*g. What is the lowest common multiple of o(5) and k(69)?
30
What is the common denominator of 24/(-66) + 6248/14883 and 14/153?
69003
Let h(w) = 3*w**3 + 6*w**2 + 5*w + 3. What is the common denominator of -61/130 and h(-2)?
130
Calculate the least common multiple of -28 - 124*253/(-92) and 4.
1252
Suppose -3*m - 2*h - 3*h - 50 = 0, 5*m + 2*h = -115. Suppose -29*z - 494 = 144. Let t = z - m. What is the least common multiple of t and 11?
33
Let g be (10/4*1696/80)/1. Suppose -11 + g = u. What is the lowest common multiple of 6 and u?
42
Let l = 21 - -3. Suppose -4*o + 0 = -l. What is the common denominator of (-131)/(-12) + o/4 and 127/36?
36
Let t = 482035 - 2423881/5. Let o = t + 2752. Calculate the common denominator of o and (2/(-22))/((-595)/5355*(-2)/(-6)).
55
Let k = -34368412/46705 - -290728744331/1886882. Let c = k + -153343. What is the common denominator of -27/16 and c?
8080
Let n = -114 - -110. Let i be (-2)/4 - n/(-32)*44. What is the least common multiple of 3 and (-48)/36*i/4?
6
Suppose -5*z + 3888 = 383. Let p = -8399/12 + z. What is the common denominator of p and 2/16*(-76 - -1)?
24
Let m = -1449/10 - -12097/80. What is the common denominator of m and (2 - 3) + (-53)/(-20)?
80
Let u(l) = -10762*l + 39. Let f be u(-9). Let d = f + -382751/4. Let j = d - 1222. What is the common denominator of 19/3 and j?
12
Suppose -2*u + 4*u = 24. What is the common denominator of -24*8/(-594)*(9 - u) and 55/84?
924
Let r = 510 - -170. Find the common denominator of 1 + 1/((-84)/405) and ((1 + 1)/(-8))/(32/r).
112
What is the common denominator of (-1 + 15/(-18))*(-560)/(-5400) and 28/165?
4455
Let v = 774 - 43297/56. What is the common denominator of v and 115/56?
56
Let l = -2744/9 + 303. Find the common denominator of 113/9222 and l.
27666
Suppose 2*x + u - 2615 = 0, 7*u - 3930 = -3*x + 3*u. Find the common denominator of 19/20 and 3 - (x/240 + (-117)/(-195)).
120
Let k = -7793 + 3665. Let g = 132079/32 + k. Find the common denominator of 41/14 and g.
224
Let i(t) = -t**3 + 14*t**2 + 13*t + 48. Let d(p) = p**3 + 7*p**2 + 15. Let v be d(-7). Let y(b) = 11*b. What is the lowest common multiple of y(1) and i(v)?
198
Let u = 3819 - 15243/4. Let z = 695193/164 + -4239. Calculate the common denominator of z and u.
164
Let a = -3/44 - 97/1804. Let g = a + -995/246. What is the common denominator of (-6)/10 - 159/110 and g?
66
Suppose 0 = 3*v + 2*v + 5. Let f(p) = -63609 + 21*p**2 + 31804 + 31805. What is the lowest common multiple of f(v) and 12?
84
Let h = 4314265/11455872 + 30/29833. What is the common denominator of (-12)/(50 - 98) + 8/(-5) + 1 and h?
1920
Suppose 16*f = -2*f + 126. Suppose 2*s - 3*v = f, s - 1 - 7 = -3*v. Calculate the least common multiple of s and 135.
135
Let c(p) = p + 5. Suppose 34*z - 33*z - 5 = 0. Let o be c(z). Suppose 30 = 4*q - u + o, 2*u + 25 = 5*q. What is the lowest common multiple of 2 and q?
10
Let c be ((-46)/(-4))/((-1)/2). Suppose 327 = -4*b + 515. Let d = c + b. Calculate the smallest common multiple of 8 and d.
24
What is the smallest common multiple of 80 and (-357)/(-5) + (2 - -3*14/(-30))?
720
Let t = 37 + -35. Suppose -11*g - 9932 = t*g. Let a = g + 6101/8. Find the common denominator of 31/46 and a.
184
Let g be (-20)/15 - 10796204/624. Let d = 17302 + g. Calculate the common denominator of d and -57/4.
52
Let c = -146270619/856 - -170877. Find the common denominator of c and -19/107.
856
Suppose -3*z + 5*y + 15 = -36, -12 = -2*z - 4*y. Calculate the lowest common multiple of (-1)/(9/70 - (8 + (-234)/30)) and z.
84
Let s be 65/(-700)*5690/12. Let z = s + 345/8. Let n = 2/719 + 33781/4314. Find the common denominator of n and z.
42
Let z = -66844 - -66854. Let h = 91 - 51. Calculate the smallest common multiple of h and z.
40
Let d = -10684 + 470251/44. Let g = 58/11 - d. Find the common denominator of g and (-1)/((-22)/(-2))*114/4.
44
Let i be -6 + 1 + (14 - 22). What is the common denominator of 178/(-4) + (-1)/1 and 2670/(-455) + (-2)/i?
14
Suppose 0 = o - 0 + 12. Let w = -866 - -863. Calculate the least common multiple of 2 and (-109)/(-3) + w + (-32)/o.
36
Suppose 150 = -2*t + 12*t. Let b = t - 12. Suppose b*w = 8 - 2. Calculate the least common multiple of 26 and w.
26
Suppose -7*n + 9*n - 38 = 0. Suppose -51 = -2*b + n. Find the common denominator of 20/9 and (-160)/18*14/b.
9
Let g be (-20)/(-5) + 21768/32. Let n = g - 862139/1260. Calculate the common denominator of n and 37/3.
315
Let l = -39 - -65. Let x = l + -80. Let a = 94 + x. What is the least common multiple of 10 and a?
40
Let c(q) be the first derivative of -q**4/4 + 7*q**3/3 - q**2/2 + 4*q - 3. Let w be c(7). What is the common denominator of 41/12 and (-1)/w*(-6 + 2106/120)?
60
Let j be (-510516)/(-45) + 1/(-2). Let k = -11334 + j. Find the common denominator of (-30)/4*(-228)/(-36) and k.
10
Let x(y) = y**2 + 29*y + 147. Suppose -5*b - 4*z = -2*z + 28, -3*b - 3*z = 15. What is the least common multiple of x(b) and 80?
720
Let b = 102 - 60. Let t = 426 - 258. What is the least common multiple of t and b?
168
Suppose k = 9 + 17. Let h = 22 - k. Calculate the lowest common multiple of 12 and -6*(-12)/9*h/(-4).
24
Let v(d) = -d + 96. Let x be v(0). Calculate the least common multiple of 22 and (-2)/(-8) - (-264)/x.
66
What is the common denominator of -77/135 and 6 - (-2 + 2) - (4249/(-1533) + 9)?
9855
Let o be 5*3/5*34/3. Let s be o/(-12) - (-28)/(-168). What is the common denominator of -49*(-2)/(-36) + -1 + s and -65/54?
54
Suppose 0 = -13*k + 211 + 23. What is the smallest common multiple of 378 and k?
378
Let b(n) = -n**3 + 15*n**2 + 18*n - 38. Let h be b(16). Let l be (h + (-4 - -5))/(-1). Suppose 10*d = l*d + 30. Calculate the least common multiple of d and 2.
6
Let y = -1/19863 + 320017/39726. Let w = 7/1034 - -49087/4136. Find the common denominator of w and y.
72
Let z be 4/2*(-11)/(-5 - -27). What is the common denominator of -5 - ((-223)/90 + z) and 35/18?
90
Let h(v) = 82*v + 2234. Calculate the smallest common multiple of 100 and h(-27).
100
Suppose 0 = -w + 4*z + 6, 3 = -w + 3*z + 8. Suppose -a = w*t - 94, -2*t + 5*a - 3*a = -100. What is the least common multiple of t and 20?
240
Let w be (-1231900105)/(-22) - 1*4/2. Let o = w + -55984849. Let q = 10611 - o. Find the common denominator of -29/44 and q.
44
Find the common denominator of ((-7704)/1920 - -4)*23/(-2) and -3/28.
1120
Find the common denominator of 6142/(-376) + (-710 - -726) and 51/7.
1316
Suppose 195 = 7*v - 2*v. Let b be (5 - (-133)/(-21))/((-2)/v). Let g = b + -24. What is the least common multiple of 2 and g?
2
Let d = -86/147 + 17629/22344. Calculate the common denominator of d and (-15)/(-18)*5229/(-840).
304
Let a = -141/121 + 30171/28072. What is the common denominator of a and 95/26?
3016
Let b = 713 - 446. Suppose -4*l + b = 179. Calculate the lowest common multiple of l and 16.
176
Suppose -2*r - 12*r - 56 = 0. Let a be 2 + (-14)/8 - 6755/r. Let d = -6799/4 + a. Find the common denominator of d and 107/6.
12
Suppose 0 = 16*s - 97*s + 18 + 630. What is the smallest common multiple of s and 6802?
27208
Let k(x) = 57*x + 35. Let o be k(-7). Let l = o - -366. Calculate the lowest common multiple of 129 and l.
258
Let o be (-1)/1 - (-46)/1. Let s be -46 + (1 + -2 - 0). Let q = o - s. What is the smallest common multiple of q and 14?
644
Let b = 595897/258 - 366/43. Let g = b + -2295. What is the common denominator of 65/4 and g?
12
Calculate the lowest common multiple of 54 and ((-10)/(-25))/(-7 - (-10406)/1485).
54
Let q = -379/33 - -183/22. Calculate the common denominator of 69/35 and q.
210
Let a = -34/215 - 27983/3870. Calculate the common denominator of -109/12894 and a.
38682
Suppose -85*b + 65*b = 60. Calculate the common denominator of (19/(-3))/(8/30) and (-339)/(-14)*(-1)/b.
28
Let l be 6*(-2)/42 + (-6426089)/6279. Let f = l + 13296/13. What is the common denominator of -119/6 and f?
138
Let l be (-21)/(-12) + 3/12. Find the common denominator of (-12)/198*(1 - (l + -9)) and -34/7.
231
Let l = 253079/18 - 14064. Let z = 455075/12 - 37919. What is the common denominator of l and z?
36
Suppose 0*l - 12*l + 17 + 271 = 0. What is the least common multiple of 2331 and l?
18648
Let j = -1/26