-3*z + 65. What is the smallest common multiple of z and 27?
189
Let g be (-7)/(42/(-150)) - 1. Calculate the common denominator of -53/8 and 0/(g/(-4)) + 11/8.
8
Let x = -501 + 675. Find the common denominator of 59/93 and ((-3)/6)/((-3)/x).
93
Let y be (-1)/(5/(27 + 3)). Let s be 2/(-12) - 25/y. Suppose -21 = s*f - 61. Calculate the least common multiple of 29 and f.
290
What is the common denominator of -67/580 and (-1409)/145 + 142/(-639) - -10?
5220
Let s(f) = 17*f + 33. Suppose -w = 4*y - 2, 3*y + 22*w - 25*w = -6. Calculate the lowest common multiple of s(y) and 63.
693
Let k = 1144393 + -331874013/290. Let w = -29921/1710 - 2/855. Find the common denominator of k and w.
290
Let q = 2/31691 + 4721923/570438. Calculate the common denominator of q and -7/30.
90
Let u(g) = 0 + 6*g**2 + g**3 - 15*g**2 - 3. Let s be u(9). Calculate the smallest common multiple of 2 and s + 55/(-1 - -6).
8
Let u = 543 - 533. Suppose 4*n + 2*d - 32 = 0, 3*n = 6*n - 2*d - u. Calculate the least common multiple of 102 and n.
102
Let h(x) be the first derivative of -x**4/4 + 4*x**3/3 - 9*x**2/2 + 10*x - 23. Let d be h(5). Find the common denominator of 16/d*648/(-16) and -113/10.
10
Suppose -4*y - r = -212, -20 + 0 = -5*r. Let k = -36 + y. Calculate the least common multiple of k and 6.
48
Let b = 24727/2 + -12319. What is the common denominator of -9/5825 and b?
11650
Suppose -107 + 1828 = 93*s + 233. Calculate the smallest common multiple of 1856 and s.
1856
Let b(h) = h**3 - 11*h**2 + 21*h + 16. Let n be b(6). Let g = -29 - n. Calculate the smallest common multiple of 39 and g.
117
Let o = -184/9 - -1355/72. Let c(p) = -2*p**3 + 2*p**2 + 6*p - 18. Let j be c(2). Calculate the common denominator of 6/j + 5677/(-588) and o.
24
What is the common denominator of 724/(-2990) + (-23)/(-230) and -17/92?
1196
Let n = 65632/27 + -2433. What is the common denominator of ((-105)/(-132))/((-6)/16) and n?
297
Let p be (-4)/6 - 484/(-6). Suppose -5*d - 5*b = -300, -5*d + 222 = 4*b - p. What is the smallest common multiple of 18 and d?
558
Let k be (-108)/20 + (-4)/(40/6). Suppose -67 = -5*y + 23. What is the common denominator of -59/3 and k/(-44)*(-2 + y)?
33
Let g = 48 + -39. Suppose g*t = 49 - 4. Suppose -3*k - 3*n = 0, -n = -0*n + t. What is the smallest common multiple of 8 and k?
40
Let m = 359/12900 + -211/258. Find the common denominator of 28/15 and m.
300
Suppose -82 + 137 = 5*m. Let c(v) = 3*v**2 - 25*v - 48. What is the least common multiple of c(m) and 28?
280
Let d be ((15/2)/(-1))/(-2973). Let u = d - 56009/6937. Find the common denominator of u and (190/(-60))/(-19) + 38/42 - -6.
14
Let d = -11 + 3. Let r(p) = 10*p**2 - 45*p + 43. Let k(v) = 2*v**2 - 11*v + 11. Let o(z) = -9*k(z) + 2*r(z). Calculate the least common multiple of 8 and o(d).
344
Let d(y) = -8*y**3 + 10*y**2 + 46*y + 288. Calculate the least common multiple of 252 and d(-6).
6300
Find the common denominator of -24/173 and (-2)/8*1 - (1022255/(-62972) - -16).
1211
What is the common denominator of 203/(-448) - 39/52 and 1106/(-880) + (-5)/(-25)?
704
Let m(n) = 13*n**3 - 546*n**2 - 48. Let q be m(42). Let f be 4/(-6)*-3 + -14. Calculate the common denominator of (-86)/q*f/8 and 93/28.
112
What is the least common multiple of 4*81/(-108)*(3/(-9) + 0) and 13260?
13260
Let m = -1617/4 - -408. Let i be 119931/(-105) + 8/(-10). Let f = 7963/7 + i. Calculate the common denominator of f and m.
28
Let d = 288 + -3162/11. Let q = 4937 - 10857. Let s = q + 189419/32. What is the common denominator of d and s?
352
Let u(b) = 4*b + 2 - 1 - 2 - 3 - 3*b**3 - 5*b**2. Let s be u(-5). Calculate the common denominator of 83/108 and s/(-32) + 1 + 1.
432
Let y = -523 + 2623/5. Let p = y - 31/5. What is the common denominator of (38/7 - -2)/6 and p?
105
What is the common denominator of ((-1)/(-2) + (-2002)/156)/((-40)/12) and 11/1296?
6480
Let m = 44634728949387211/729547973 - -67/66322543. Let w = m - 2036482484669/33286. Let y = w - -22/1513. What is the common denominator of -11/42 and y?
462
Find the common denominator of (71/54)/((-11)/(-264)*8) and ((-12)/1674)/(2 + 452/(-228)).
558
Let u(j) = -j**2 - 16*j - 53. Let p be u(-8). Suppose -h + p*h = 180. Suppose 0 = 2*z - 11 - 5. Calculate the lowest common multiple of h and z.
72
Let g = -30643/60 + 1529/3. Find the common denominator of g and (4/976)/(0 + (-9)/(-1818)).
1220
Suppose -5*r - 14*i = -12*i - 79, 3*i = 3*r - 60. Let x = 10 + -3. What is the lowest common multiple of r and x?
119
Let g = -44965/6 + 7473. Let z = -144839/36 + 4023. What is the common denominator of z and g?
36
Let b = -1337/492 - -26/41. Calculate the common denominator of -47/1118 and b.
6708
Let i = -745 + 1280. Let x = i + -469. Calculate the least common multiple of x and 88.
264
Let i = -57770252/27 + 319007982235/149094. Let o = i + -1/1506. Find the common denominator of o and 4.
11
Let v be -2 + 1 - (421443/(-150) - -7). Let l = 2802 - v. Calculate the common denominator of 11/5 and l.
50
What is the common denominator of 193/3720 and (-158)/126*(424 + -421)?
26040
Suppose 0 = -c + 2*c. Suppose -j = 4*q, 5*j + c*q + 2*q = 54. Let d(r) = 674*r + 4084. Calculate the smallest common multiple of d(-6) and j.
120
Let d = -8924 - -53423/6. What is the common denominator of d and (3 - (-292)/(-98))*47/2?
294
Suppose 0 = 2*f + 3*b - 212, 3*f + 3*b - 148 = 167. Suppose 13*z = 53 + f. What is the lowest common multiple of 14 and z?
84
Let x(l) = l**3 - 11*l**2 + 19*l - 55. Calculate the lowest common multiple of 6 and x(10).
210
Let n be -1 + -2 - 33*(-3)/1. Suppose -8*q - 4*q + n = 0. Suppose 0*j - q*j + 24 = 0. Calculate the least common multiple of 17 and j.
51
Let v be ((-12856)/3)/((-6)/(-36)). Let y be v/64 - (-2)/8. Let w = y - -436. What is the common denominator of 91/10 and w?
10
Suppose 5*o = -3*n + 50, 12 = o - 2*o - 5*n. Suppose -c + r + 19 = -3*r, -3*c = 5*r - 40. What is the lowest common multiple of o and (12/c)/((-2)/(-5))?
26
Suppose 4*a + 1263 = b - 2256, -3*b = -3*a - 10593. Let y be (20408/(-26))/(4/18). Let f = b + y. Calculate the common denominator of f and -38.
13
Suppose -4 = 2*b, 4*i = -3*b - 9 - 5. Let a = 6769/4 + -1667. Find the common denominator of ((-258)/60 - 4)/i and a.
20
Let u(d) = 35*d**2 - 44*d + 74. Calculate the smallest common multiple of u(2) and 216.
1512
Suppose 9*p = -81 - 27. Let m be 14/p*(-8616)/8. Let l = m + -1285. Calculate the common denominator of -13/11 and l.
22
Suppose -90*t = -29*t - 2182 - 563. Calculate the smallest common multiple of 1 and t.
45
Suppose 329 = 7*t + 273. What is the smallest common multiple of 148/t - (-6)/4 and 126?
1260
Let h(g) = g**3 - 25*g**2 - 4*g + 160. Suppose -3*s + 2*d = -116, s = 3*s + 4*d - 56. What is the lowest common multiple of h(25) and s?
180
Let d(t) = -44*t**3 - t**2 + 13*t + 14. Let b be d(-1). Suppose -4*p + 169 = 5*n, 5*n = -19 + b. Calculate the smallest common multiple of p and 81.
324
Let n = -22656 + 23608. What is the smallest common multiple of n and 1088?
7616
Suppose 3*r = a + 13, -27 = -4*a + 4*r - 87. Find the common denominator of (1 - (-32)/(-21))*(-4110)/548 and 78/(-13)*(-66)/a.
28
Let n = 4862/109 - 23/218. Find the common denominator of n and -9/5554.
5554
Suppose 365*r = 23*r + 577296. What is the lowest common multiple of r and 422?
1688
Let j be (-8 - -8) + -2 + 15. Calculate the least common multiple of 66 - (9 + -5 - j) and 18.
450
Suppose 0 = o - 4*t + 86, -355 = 7*o - 2*o - 5*t. Calculate the least common multiple of 33*(1/(-6))/(((-25)/(-2))/(-25)) and o/(-12)*(2 + 0).
11
Let s be (118449/(-82))/((-2)/(-12)). Let v = 103931/12 + s. What is the common denominator of v and 4/(-6) + (-406)/(-96)?
48
Suppose 25*m - 24*m + 6 = 0. Let a = -3 + 2. Calculate the lowest common multiple of (30 - m)*a/(-2) and 8.
72
Let t = -213 + 217. Suppose -37*s + 60 = k - 38*s, 304 = 5*k - t*s. Calculate the smallest common multiple of k and 96.
192
Suppose 5*k + 20 = -5*b, -2*b - 2*k - 6 = 2*b. Let x be (-3 + 4592)*(-2 + b). Let d = x + 27659/6. Calculate the common denominator of d and 13/45.
90
Suppose i - 3559 = 3*b - 3040, 2*i - b - 1053 = 0. Calculate the lowest common multiple of 96 and i.
1056
Let v = 74454/5 + -14812. Let z = v - 90. Find the common denominator of -57/2 and