common denominator of t and u.
68
Let u(d) = d**3 + 38*d**2 - 83*d - 90. Suppose -960 = 34*g - 10*g. What is the smallest common multiple of u(g) and 70?
210
Let q = -12/781 - -23009/23430. Calculate the common denominator of 7 + -5 - (-167)/(-12) and q.
60
Let t(y) be the first derivative of -18*y - 1/3*y**3 - 6*y**2 + 4. What is the smallest common multiple of 7 and t(-7)?
119
Let x be -14*4/12*12/(-14). Suppose -2*l = -0*l - x. Suppose 0 = -2*k + 2 + l. What is the smallest common multiple of k and 7?
14
Calculate the lowest common multiple of 2 and 4/(-24)*-3*-6*-218*4.
2616
Suppose 3*m + 453 = c, 0*c = -5*m + 4*c - 762. Let z = m + 170. Calculate the smallest common multiple of z and 14.
140
What is the common denominator of -35/286 and (5/(-12) - -4) + 315/45?
1716
Suppose x - 184*q + 179*q = 1132, -3*x - 2*q = -3464. Calculate the least common multiple of x and 272.
19584
Let m = -156854 + 148854484/949. Calculate the common denominator of m and 3/13.
949
Let g be (-1870)/(-121)*2439/4. Let f = 9419 - g. What is the common denominator of f and 17/6?
66
Let m = -24851 + 24893. Calculate the smallest common multiple of 492 and m.
3444
Suppose 24*k = 512 - 2492 + 16524. Calculate the smallest common multiple of k and 30.
3030
Suppose 5*n - 181 = -0*n - f, -2*n - 4*f = -76. What is the lowest common multiple of 99 and n?
396
Suppose 2*j + 5*h - 3 - 7 = 0, 5*h + 40 = 3*j. Let z = -63 + 68. Calculate the least common multiple of (-28)/(-4) - j/z and 23.
115
Suppose 3*k - 13 = 11. Suppose 24*p + 2193 = -19*p. What is the least common multiple of k and 27 - (170/p)/(2/(-3))?
88
Let t(i) = 3*i**2 - 4*i**2 - 2*i - 226*i**3 + 819 - 821. Let l be t(2). Find the common denominator of l/27*(-6)/8 and -18/17.
34
Let h = 61673/12072 + 92/503. Calculate the common denominator of 361/420 + (-2640)/(-3080) and h.
120
Let j = -66/511 + 83267/55188. Calculate the common denominator of 29/243 and j.
972
Find the common denominator of 68/3771 and (0 + -1)*(8 + -3)/23045*-53.
41481
Suppose -4340 = -157*p - 38*p + 4045. What is the least common multiple of p and 96?
4128
Suppose 300*v - 7257 = 28143. What is the lowest common multiple of 5 and v?
590
Suppose -2*f = 14*y - 18*y - 24, 2*f + 2*y - 54 = 0. Suppose 3*u - 92 = 2*h - f, 5*h = -25. What is the smallest common multiple of 2 and u?
20
Let i(l) = l**3 + 14*l**2 + 22*l + 17. Calculate the lowest common multiple of i(-11) and 207.
414
Let c = 5342 + -24335. Let y = c - -987719/52. Calculate the common denominator of y and 93/14.
364
Suppose 7*f = -8*f + 30. Suppose -79 + 4 = q + 3*m, f*m = -2*q - 162. Let x = -80 - q. What is the lowest common multiple of 14 and x?
28
Suppose -3*b + b = -5*j, -3*b + 3*j = -18. What is the lowest common multiple of 64 and 25/b - (-162)/12?
64
Let i be 2 + (-68)/(-4800)*-59. Let m = i + 1/400. Calculate the common denominator of (-2)/2*(7 - 10) - (-88)/(-18) and m.
18
Suppose 5*g - 330 = -2*f - 29, 341 = 2*f - 3*g. Let i = -5404/33 + f. What is the common denominator of i and (-4)/(528/(-1421)) + 8/(-44)?
132
Let l(o) = o + 2. Let z be -1 + 3 + 2*-1. Calculate the smallest common multiple of l(z) and 459/(-204)*(-64)/12.
12
Let s = 2294173/136 - 16869. Find the common denominator of 39/476 and s.
952
Let t = 511 - 536. What is the common denominator of t/250 - (-326)/(-90) and 127/18?
18
Suppose -2*b - 64 = -248. Let h = b + -95. Calculate the lowest common multiple of 28 and 7 + (h - -3 - -1).
56
Suppose -5*c - 125 = 4*g - 497, -13*g + 2*c = -1136. Suppose 0 = l - 4*l + 42. Calculate the smallest common multiple of g and l.
616
Let w(x) = -x**3 + 6*x. Let a(h) = -h**3 - 4*h**2 + h. Let t be a(-4). Let l be w(t). Let d = 48 - l. What is the least common multiple of d and 18?
72
Let u be 8/(-24)*(0 - 0). Suppose g = -u + 1, -w = 5*g - 47. Suppose -6*f = -3*f - w. What is the lowest common multiple of 16 and f?
112
Let z = 360 - 1982. Let g = 146983/2 - 75154. Let x = z - g. Find the common denominator of -37/10 and x.
10
What is the lowest common multiple of 194006/15 - 760/(-2850) and 7?
90538
Let p(f) = 9*f + 542. Calculate the smallest common multiple of p(-30) and 32.
544
Find the common denominator of -109/5994 and 40/(-14)*(-1750)/375.
5994
Suppose 7 = -i + x - 2, -2*x = 2*i + 22. Let s(p) = 5*p + 56. What is the smallest common multiple of 6 and s(i)?
6
Let f = 11321/11184 + 235/233. Calculate the common denominator of f and -19/204.
816
Suppose -2*u + t + 21 = 0, u + 2*t - 28 = 6*t. Suppose 14 = 19*x - 17*x - 5*i, x + 4*i = -6. What is the least common multiple of x and u?
8
Let q be (1 - -3) + 3/(-2 - -5). Suppose -z + 268 = -q*z. Let j = 130 + z. Calculate the lowest common multiple of 1 and j.
63
Suppose -2*y + 4189 = -3*t, -197*t + 189*t + 8336 = 4*y. Calculate the lowest common multiple of y and 176.
16720
Let y(m) = 6*m**2 + m + 6. Suppose -2*g - 3 = -b - 7*g, -3*g - 3 = 3*b. Calculate the smallest common multiple of 8 and y(b).
56
Let j be (-1151)/3990 - ((-31)/(-5) + -7). Let k = -17/95 - j. Find the common denominator of (77/(-2))/(1 - 0) and k.
42
Suppose 11*u = 2*x + 8*u - 919, -x = -3*u - 461. What is the smallest common multiple of x and 11?
5038
Suppose -5*x - 97 + 187 = 0. Suppose -2*k = -3*f - 20, -f - 4*k - 2 = -7*k. Calculate the least common multiple of 2 and (f/(-6))/(4/x).
6
Let u(w) = -w**3 - 7*w**2 - 3*w - 18. What is the smallest common multiple of u(-7) and 237?
237
Let k = -1015 + 1197. What is the smallest common multiple of 494 and k?
3458
Let c = 238 - 128. Calculate the lowest common multiple of c and (-28)/(-140) + 656/20.
330
Find the common denominator of 86/21 and (-16430)/(-3060) + (1 - (0 + 6)).
2142
Let y be (-1)/((10 - 11)*(-1 + 2)). Suppose -y = r + 5. Let m(j) = -j**3 - 4*j**2 + 9*j - 10. Calculate the lowest common multiple of 2 and m(r).
8
Let u(t) = 2*t**2 - 76*t + 846. Calculate the smallest common multiple of 8 and u(43).
2552
Suppose 394591 - 61492 = 73*h. What is the lowest common multiple of 1014 and h?
9126
What is the common denominator of (-8409)/(-22302) + (-28)/98 and 125/18?
1062
Let g(w) = -2*w**2 - w - 3. Let f(v) = -5*v**2 + 18*v - 4. Let l(y) = -f(y) + 3*g(y). Calculate the lowest common multiple of l(-19) and 54.
594
Let g = 550 - 485. Suppose 0 = -95*b + g*b + 900. What is the lowest common multiple of 1 and b?
30
Let g = 4273 + -1615223/378. What is the common denominator of g and 43/924?
8316
Suppose -5*a - 365 = -36480. Suppose 8*r = -367 + a. Calculate the common denominator of 8/(-28) + r/(-210) and -29/4.
60
Let p = 497 + -466. Find the common denominator of -29/10 and (-2)/87 - p/186.
290
Let a(n) = 2*n**2 + 33*n - 24. Suppose -5*r - 84 = 3*c, 6*r - 5*r = 5*c - 28. What is the least common multiple of 6 and a(r)?
30
Let k be 5/2*(-12)/15 + -2052. What is the common denominator of 85/6 and 2/13 + k/(-2028)?
6
Suppose 5*q = -n - 0*n + 735, -2*q = 6. Let a = -482 + n. Calculate the lowest common multiple of a and 18.
2412
Let z(d) = -d**2 + 8*d - 7. Let f be z(3). Calculate the common denominator of -47/6 and (-366)/(-6)*1/f.
24
What is the common denominator of (1 - (-5658)/1412) + (-2)/(-2)*-5 and -41/2?
706
What is the common denominator of (-1343)/256 + (-35)/(-14) - -3 and 81/4928?
19712
Let v = -2243/14 + 323/2. Let g = 88677/8 - 11070. Let u = 337/8 - g. Calculate the common denominator of u and v.
14
Suppose 0 = 4*r + t + 25, -3*r + 5*t = r + 19. Let o = 12 + r. Let f = 438 + -426. What is the least common multiple of o and f?
12
Suppose -3*m = m + 4*j - 24, 22 = 2*m + 4*j. Find the common denominator of 113/(-36) + m/(-4) and -91/30.
90
Let s(k) = 2406*k**2 + 135*k + 407. Calculate the lowest common multiple of s(-3) and 8.
21656
Suppose -16*b - 1488 = -16*b - 31*b. Let x = 3 + 15. Calculate the least common multiple of b and x.
144
Let h = -17631644/77 + 2928661/14. Let v = h - -19797. Calculate the common denominator of v and 1/4*(-1 + -72).
44
Let k = 4345 - 4337. Calculate the lowest common multiple of 30468 and k.
60936
Let v be (-4)/(-6) - 535898/(-12). Let u = 44505 - v. Let j = 2807/18 + u. Calculate the common denominator of j and 23/3.
9
Let y = 7 + 8. Suppose 2248 = 10*a - 2301 + 4499. Calculate the smallest common multiple of y and a.
15
Let i = 7919/12 + -1957/3. Find the common 