. Calculate the least common multiple of 21 and g.
294
Let x = 500 - 323. Suppose -w = 4*n - 299, -3*n + x = -2*w - 39. What is the least common multiple of 3 and n?
222
Suppose -8*w - 4*w + 42364 = 22*w. What is the smallest common multiple of 12 and w?
7476
Let l be ((-44)/(-6))/2 - (-2)/(-3). Suppose -2*a - 3*a = l*u + 14, 5*a + 24 = 2*u. What is the common denominator of -45/4 and (2 - (-305)/10) + u + 1?
4
Let i = 21163/3860 + 13/193. Calculate the common denominator of 139/156 and i.
780
Let y = 7 + -23. Let j = y - -15. Find the common denominator of j - 0 - (-202)/130 and 32/5.
65
Let h = 130 - 133. Calculate the common denominator of 22*h/(-15)*(-44)/(-16) and 95/482.
2410
Calculate the least common multiple of -7 + ((-2)/5)/((-84)/27720) and 2.
250
Let p(b) be the third derivative of b**5/60 + b**4/3 + b**3/2 + 18*b**2. Let h be p(-9). Let v = h + -3. Calculate the lowest common multiple of v and 12.
36
Let s = 2618 + -7858/3. Calculate the common denominator of s and 97/10038.
10038
Suppose -18*i + 693 = -25*i. Find the common denominator of 49/40 and (-2)/(-12)*i/(-4).
40
Let d = -16143 - -10522. Let s = -61463/11 - d. Let j = -6997/220 + s. Calculate the common denominator of j and 41/28.
140
Suppose -121475 = 4*t + 395009. Let m = -6844075/53 - t. Let w = 17209/1696 + m. What is the common denominator of w and 109/14?
224
Let c(w) = -2*w**3 - 15*w**2 - 33*w - 14. Let t(o) be the third derivative of o**4/8 + o**3/6 - o**2. Calculate the smallest common multiple of c(-4) and t(11).
102
Suppose -2*w - 2 = 2*v + 2, -5*v - 16 = -w. Let s be 3 - ((-24)/(-36) - 10/6). What is the lowest common multiple of 12/10*(1 + 26/s) and w?
9
Calculate the smallest common multiple of (-8)/172 + 906182/3698 and 29.
7105
Suppose 10*b = 3*b + 1890. Let l = -266 + b. What is the smallest common multiple of 1/(-1) + (-6)/(-1) and l?
20
Let z(l) = 2*l + 33. Let j(q) = q + 1. Let w(b) = -6*j(b) - z(b). Suppose 0 = 3*t, -5*t = 7*f - 2*f + 30. What is the smallest common multiple of 24 and w(f)?
72
Suppose 75 = -5*x - 2*g, 5*x = x + 2*g - 42. What is the common denominator of x/((-4680)/410) - (0 + -3) and 26/81?
324
Let b = 5 + -6. What is the common denominator of b + 63/(-39) + -1 and -19 - (20/15)/(-12 - -10)?
39
What is the common denominator of 21/(18 - (-9880)/(-60)) and 17/308?
3080
Let j be 98/7*(-85)/(-70). Let g be 1*(4/(-2) + 9). Suppose s + g = j. Calculate the least common multiple of s and 15.
30
Let c = 4/4485 + -7079/2990. Let h = 461/15 + -761/30. What is the common denominator of c and h?
30
Let u(s) = s**2 + 9*s + 3. Let b be u(-6). Let h be ((-45)/(-20))/(-9) - (-516)/16. Find the common denominator of -3/2 and (b/84)/((-2)/h).
14
Let s = -68 - -98. What is the common denominator of 243/s*(10/(-6) - -1) and (31/3)/(-3 + 0)?
45
Let h = 76696 + -48088357/627. What is the common denominator of -19/21 and h?
4389
Let c(o) = -o**2 - 16*o - 54. Let g be c(-7). Suppose -265 - 32 = -g*t. Let p = -1 - -16. What is the smallest common multiple of t and p?
165
Let r be 1/(4 - 4/((-12)/(-11))). Suppose -r + 10 = 7*s. Calculate the least common multiple of (3 - 4)*(s + -4) and 2.
6
Calculate the common denominator of -55/442 and ((-616)/(-40))/(52/(-5)).
884
Calculate the smallest common multiple of -10*(12/9 + 38048/(-87)) and 436.
4360
Let i = 111034789/920 + -120690. Let j = -22419/10120 + i. Calculate the common denominator of j and -83/216.
2376
Let w(z) = -14*z. Let l be w(0). Suppose l = 16*g - 15*g - 41. Suppose d = 5 - 8, -4*p = -3*d - g. Calculate the least common multiple of 66 and p.
264
Let t(u) = u**2 - 5*u + 7. Let k be t(4). Suppose k*q + 3*y - 174 = 0, -2*y - y + 294 = 5*q. Find the common denominator of (19/(-8))/((-6)/q) and 1/126.
252
Suppose -576 = -u - 4*y, 2238 + 120 = 4*u - 2*y. Let r = u + -478. What is the least common multiple of r and 30?
330
Find the common denominator of -10/1363 and (-654)/(-232)*(-35)/(-21)*18/135.
8178
Let s be ((-16)/(-6))/1*195/52. Suppose 0 = -5*c - 3*z + 195, -s*c - 4*z + 92 = -8*c. Calculate the smallest common multiple of 24 and c.
72
Suppose -4*w = -4*r - 36, 4*w + 4 = -3*r + 5. Suppose -51*b + 234 = -0*b - 480. Calculate the smallest common multiple of b and w.
28
Let f(z) = 2*z**3 - 4*z**2 + 2*z - 4. Let g(n) be the first derivative of 9*n**2 - 2*n - 4. Calculate the lowest common multiple of g(1) and f(3).
80
Let z = 53660/21 - 2554. Let p be 116882/40*(-12)/9. Let u = 3893 + p. What is the common denominator of u and z?
105
Suppose -6*y = -i - y + 21, i - 13 = -3*y. Suppose -17*o + i*o = -301. Find the common denominator of -67/36 and -2 + (o/(-84) - (-1 + -2)).
36
Let f be -4 + (2 - 2325/(-1158)). Let x = f - -163/3860. Calculate the common denominator of x and 143/48.
240
Suppose 0 = m - 37*m - 49068. Let u = 14974/11 + m. What is the common denominator of (-32)/6*21/(-10) and u?
55
Let r(x) = -7*x + 146. Let k be r(-33). Let m = k - 373. Calculate the smallest common multiple of m and (8/(-6))/(1/(-3)).
4
Let x = 8252 - 6340. Calculate the smallest common multiple of x and 478.
1912
Suppose 3*b = 126 - 141, -2*k - 3*b = -141. Find the common denominator of (-2)/k - (-12)/(42/(-7)) and -34/117.
117
Let w(k) = -k**3 + 8*k**2 + 14 - 27 - 4 + 11*k. Let b = 161 + -152. What is the smallest common multiple of 16 and w(b)?
16
Suppose 3*n + 4 = -3*d + 10, -d + 10 = 5*n. Suppose n*y + u - 4*u = 1, u = 2*y - 11. Calculate the lowest common multiple of 76 and y.
152
Let o = 20/1351 - -3165/386. Let n(s) = -17*s - 248. Let f be n(-9). Let q = f + 1313/14. What is the common denominator of q and o?
14
Let g(v) = 311*v - 5. Let m be g(-4). Let l = -7535/6 - m. Calculate the common denominator of l and 8/(-64)*(-332)/10.
60
Let x = -107447/4 - -26672. Let j = -2375/12 - x. Let y = 25685/6 + -4268. What is the common denominator of y and j?
6
Let k = -1429 + 1484. Calculate the lowest common multiple of k and 80.
880
Suppose -45 = -k + 4*w, -2*k + 5*w - 54 = -144. Calculate the smallest common multiple of k and ((-171)/38)/(5/(-50)).
45
Find the common denominator of 7/35 + ((-18)/16920)/((-8)/(-1459)) and 69/658.
10528
What is the common denominator of 2 + (145/(-150) - 1) and ((-23)/(-27))/(9/27) + 0?
90
Suppose 0 = -4*l + u + 19, -8*l + 3*u = -3*l - 36. Calculate the lowest common multiple of (-18)/(-8)*2*2 and l.
9
Let k = -297 - -439. Let r be (-2)/3 - (-4 - k/(-3)). What is the common denominator of (-2)/(-11) + (-174)/r and 7/12?
132
Let z be 27/8 - (-15)/(-40). Let j(g) = z*g - 3*g**2 + 4*g**2 - 2*g + 8*g**2. What is the smallest common multiple of j(1) and 12?
60
Calculate the common denominator of (18305/(-874))/7 - (-1 + (-4 - -2)) and -83/152.
3496
Let f = 45 + -47. Let q be 6 + 54 - (1 + f) - -3. Suppose 0 = 5*y, -6*z + 2*z + q = 2*y. Calculate the least common multiple of 10 and z.
80
Let u(x) = -2*x + 8. Let q be u(2). Suppose q*g = -g + 160. What is the lowest common multiple of 12 and g?
96
Let p = 781666501 + -14243742955/18. Let t = p + 9648591. Let k = -3963 - t. Find the common denominator of -49/27 and k.
54
Calculate the common denominator of -16/209 and (32/(-160))/((378/(-975))/6).
4389
Calculate the common denominator of (23/(-77096)*8)/((-6)/17) and -28/27.
22626
Let r(w) = 167*w - 2098. Calculate the lowest common multiple of r(13) and 0 - 2*(0 - (2 - -2)).
584
Let x be -7 + -1 + 3423/(-270). Let l = x - -250/9. What is the common denominator of l and 37/28?
140
Let x = -1827/5 + 29291/80. What is the common denominator of 77/52 and x?
1040
Let f(s) = -2*s + 14. Let a be f(6). Let p be a/10 + (-8)/12. Let b = p + 869/30. What is the common denominator of 51/56 and b?
56
Suppose -8*f = 2*z - 5*f - 62, -f = -2*z + 38. What is the least common multiple of 426 and z?
4686
Let w = 156343/714 + -3684/17. Find the common denominator of -17*(-1)/10 - 0 and w.
210
Let x be ((-25)/20)/((-1)/96). Suppose 4*t - c - x = 0, -4*t = -2*c - c - 120. Find the common denominator of (2/t)/(1/67) and 75/2.
30
Let r(n) be the first derivative of n**2 - 4*n - 1. Suppose 0 = -d - 4*w - 6, 0 = -2*d - d - 3*w + 9. What is the least common multiple of d and r(4)?
12
Let j be (-182 - (-3 - -4)) + 2/(-6). Let u = 1325/6 + j. Let a = -7439881/106 - -70187. Find the common denominator of a and u.
106