Let m(y) = y**3 - 8*y**2 + 2*y + 4. Calculate the lowest common multiple of i and m(8).
120
Find the common denominator of 104/416 + (-166)/348 and -11/1740.
1740
Let h(s) = -2*s**3 - 131*s**2 + 66*s + 16. Calculate the lowest common multiple of (-5)/20*-2*72 and h(-66).
144
Calculate the common denominator of (-1518)/460*(1 + 1)*(-2)/(-240) and 67/350.
1400
Suppose 5*a + 220 = 230. What is the least common multiple of a and (-4)/(-18) - 21/(-27)?
2
Let v = -5352 - -5654. Calculate the smallest common multiple of v and 12.
1812
Let j(o) = 4*o - 60. Suppose 8 - 248 = -10*d. What is the least common multiple of j(d) and 81?
324
Let m = 20 - 1. Let r = m + -16. Calculate the least common multiple of r/(-6) - (-45)/10 and 4.
4
Let a be (-6)/(-10) + 0 - (-41292)/155. Calculate the common denominator of (-7 - -5)*(-119)/(-24) and 10/15 + a/(-108).
36
Find the common denominator of (2 - 165/78)/((-3648)/24016) and 23/36.
936
Find the common denominator of 3 + (-3 - 371/(-56)) + -9 and -45/778.
3112
Let n = 94 + 38. Let s = 47106 - 47073. What is the least common multiple of n and s?
132
Find the common denominator of ((-26)/(-22) - 1) + (-948699)/(-73062) and -1/146.
438
Suppose 7*w + w + 16 = 0. Find the common denominator of (-1)/w + 198/45 and 31/18.
90
Suppose -v - 49 + 6 = 0. Let d = -13621/6 - -2286. What is the common denominator of d and (9/(-2) - -4)*v?
6
Calculate the common denominator of -12 - (-712)/60 - (-706)/1920 and 67/192.
192
Suppose 0 = -12*g - 7*g + 12694 - 1408. Calculate the smallest common multiple of 120 and g.
11880
Let t = 473065 + -238424671/504. What is the common denominator of -101/378 and t?
1512
Let m = -24 + 19. What is the common denominator of 2/m + (-1785)/100 and (-6)/21 - 1170/(-28)?
4
Find the common denominator of (-64 - (-20503)/319) + -1*862/4290 and (-66)/28*(-16)/9.
1365
Let k = 7063/1552 + -108/97. Let b = -260 - -262. Find the common denominator of (b/25)/(4/15) and k.
80
Suppose 2*w - 151 = 3*m, 0 = -m + 5*w - 59 - 0. Let p = 59 + m. What is the common denominator of -101/24 and 369/(-30) - 2/p?
24
Suppose 2*k + 1745 = 11*u - 787, 4*k = 2*u - 464. Calculate the least common multiple of u and 33.
7590
Let r = 3001/90 + -152/5. Find the common denominator of 0 - 2 - ((-1969)/(-110) + -12) and r.
90
Let r(s) = 11*s**3 - 26*s**2 + 128*s + 3. Calculate the least common multiple of 33 and r(5).
15048
Let o be (2/(-10))/((-616)/(-4046980)). Let w = o + 1314. What is the common denominator of 2/8 - 386/56 and w?
154
Find the common denominator of (1127/3185)/((-6)/7) and -89/110.
4290
Let z(i) = 0 + i**3 - 6 + 8*i - 2*i + 11*i**2 - 4. Let j be z(-8). Suppose -46 = -10*d + j. Calculate the smallest common multiple of d and 8.
72
Let v(t) = -9*t**2 + 38*t - 6. Let x be v(4). Suppose z - 2*y + 0 = -7, x*z = 5*y - 19. What is the smallest common multiple of z and 1274?
3822
Suppose -15*p - 285 - 498 = -44*p. What is the lowest common multiple of p and 3?
27
Let s be (12/9)/((-4)/(-114)). Let t = s + -74. What is the common denominator of -1 - (-1 - (-124)/t) and -37/24?
72
Let r(d) = -49*d**3 - 1072*d**2 + 107*d - 8. What is the smallest common multiple of 22 and r(-22)?
5962
Suppose -5 = g, -p = -3*p - 3*g + 7. Let z(d) = -d**2 + d - 19. Let r be z(-4). Let i = r - -40. What is the lowest common multiple of i and p?
11
Let w(c) be the third derivative of -c**6/120 - 4*c**5/15 - 2*c**4/3 + 3*c**3/2 + 154*c**2. What is the lowest common multiple of w(-15) and 42?
168
Let q be (-10 - 3)*(-1 + 0). Suppose q*i = i + 144. Calculate the common denominator of 91/34 and (195/8)/(9/i).
34
Let w(y) = -14*y**3 - 9*y**2 + 25*y + 30. Let z be w(-14). Let r = z - 21167. Let h = r - 1910653/126. What is the common denominator of 33/16 and h?
1008
Suppose -2*s + 3*o + 1473 = 1413, -5*o = s + 22. Calculate the least common multiple of s and 1582.
14238
Suppose -5*b - 9301 = 4*s, -s + 443 = -3*b - 5124. Let c = b + 27823/15. What is the common denominator of c and -37/30?
30
Let c = 156604/275659 - -159946961555/60679161716. Let n = 362/113 - c. Let w = 114935/5844 + n. Calculate the common denominator of 34/5 and w.
15
Let t(x) = -x**2 - 4*x + 6. Let j be t(-7). Let z = j + 17. Find the common denominator of (z - 12/5) + 994/60 and 61/92.
276
Suppose -5*i - 6 = -4*c, -c + 6*c - 5*i - 10 = 0. Let f be 1*(3 - c)*1. Let n = 33 + f. What is the smallest common multiple of 22 and n?
352
Let o(b) = -b**3 - 21*b**2 - 41*b - 46. Let z(j) = -j**2 - 9*j + 71. Let t be z(-15). Suppose -2*q + 21 = q. Calculate the lowest common multiple of o(t) and q.
77
Let z = -2 + 4. Let y(t) = 19*t + 3*t - t - 39*t**2 + 18 + 13*t + 6*t - t**3. Calculate the smallest common multiple of z and y(-40).
18
What is the least common multiple of 7 and (36/18)/(((-2)/446)/(-1))?
3122
Let i be (-2)/3*2/(4/(-3)). Let j be (-12)/(-30) + ((-21)/195 - i). Let m = j + 2453/1170. Find the common denominator of 7/3 and m.
18
Let p = -7/1769 - -242437/21228. Calculate the common denominator of p and -47/494.
2964
Let k = 76 + -76. Let s be (25 - -52) + k/1. Suppose -b - s = -5*g, -6*g + 4*b + 68 = -g. Calculate the lowest common multiple of g and 4.
16
Let g = -2 + 6. Suppose 0 = 4*c - 5*d - 17 - 56, 4*c = -g*d + 28. Let w = -46 + 72. What is the lowest common multiple of w and c?
156
Let b be 56/3*324/(-126). Suppose 0 = -r + 5 + 15. Calculate the smallest common multiple of (b/(-10))/((-754)/65 - -12) and r.
60
Let a = 16623 - 16614. What is the lowest common multiple of 9 and a?
9
Let z = 6935 - 6475. What is the lowest common multiple of z and 690?
1380
Let c = 168545549/24 + -7026544. Let v = -3817 - c. What is the common denominator of -61/21 and v?
168
Let l(d) = -d**3 + d**2 + 6. Suppose -a + 3*p + 13 = 0, a + 0*p + 5 = -3*p. Suppose 3*n = -a*n + 5*n. Calculate the least common multiple of l(n) and 30.
30
Let q(x) = -698*x - 8234. Calculate the least common multiple of q(-13) and 756.
7560
Suppose 1395 = 3*h + 86*m - 83*m, 923 = 2*h - 5*m. Calculate the least common multiple of h and 18.
4176
Find the common denominator of -131/70 and 47299/352408 + 1/(-8).
2170
Suppose -4*b - 6*x + 4 = -2*x, 4*b + 11 = -x. Let p be -12*(11475/18)/(-15). What is the common denominator of 55/6 and b/(-34) - (-552)/p?
30
Suppose -8*g = -41 - 55. Suppose -10*o + g*o - 40 = 0. Calculate the lowest common multiple of o and 4.
20
Suppose -2*b = -4, 2*l + 3*b = 442 - 136. Calculate the common denominator of 23/4 and ((-2)/(-22))/(25/l).
44
Let w = 312649/630 - -3782/63. Let g = 553 - w. Let r = -42 + 331/8. Find the common denominator of g and r.
40
Suppose 2*z = -h + 3183, 4*z - 147*h + 142*h = 6345. Calculate the smallest common multiple of z and 954.
4770
Suppose 124 = 4*s - 4*w, 0 = -2*w + 5 + 1. Suppose 2*b + 36*q - s*q = 80, -b - 3*q = -30. Calculate the lowest common multiple of 72 and b.
360
Suppose -30*s + 25*s + 5*o + 16585 = 0, -5*o = -s + 3337. Calculate the least common multiple of s and 20.
16560
Suppose j - 6*b - 76 = 0, -2*j + 64 = 3*b - 73. Calculate the smallest common multiple of 79 and j.
5530
Let w(h) = 64*h + 118. Let s be w(-2). Find the common denominator of (-242)/12 - s/(-2) and 358/200 + (-2)/8.
150
Let o = 2/16597 - 1460566/248955. Let b = -335 - -315. What is the common denominator of o and b/5 + (-595)/(-63)?
45
Let u be 5/(-10) + (-76)/(-8). What is the common denominator of 85/14 and (-411)/54 + 3/u?
126
Suppose y + 13 = 4*u, 3*u + 7 = 4*u + y. What is the common denominator of (-65)/(-30)*2/(4/7) and u/(-10) - (-515)/(-100)?
60
What is the common denominator of 35/1296 and (-2802)/(-270) - (-22)/99?
6480
Let q(m) = 6*m + 1 - 12 + 7. Let d be q(1). Find the common denominator of ((-1)/d)/((-24)/(-117)) and -37/6.
48
Let z(h) = -h**3 - 5*h**2 - h - 2. Let g(s) = -s**2 + 16*s - 22. Let j be ((-16)/12)/((-6)/63). What is the least common multiple of g(j) and z(-5)?
6
Let y = -663247489/208 + 3188682. Let b = 85/13 + y. Find the common denominator of -101/6 and b.
48
Let n(j) = 35*j - 2. Calculate the lowest common multiple of ((-384)/8)/(-4) + 10 and n(2).
748
Suppose -8*r + 3*r + 3*l = -61, -35 = -3*r + l. Suppose r*t = -9*t + 140. Calculate the lowest common multiple of t and (-1)/((-2)/14) + 1.
56
Let n = 2904 + -2893. Calculate the smallest common mult