st common multiple of j and 18?
36
Let w(h) = -4*h**3 - 9*h**2 + 5*h + 63. Let b(a) = a**3 + 2*a**2 - a - 16. Let q(y) = -9*b(y) - 2*w(y). What is the least common multiple of q(0) and 194?
1746
Let c = -1067/9 + 119. What is the common denominator of c and -187/420?
1260
Let y = -9 - -26. Suppose -o + 12 = -y. Find the common denominator of (-22*(-27)/24)/(4 + -1) and o.
4
Let f = 772 - 660. What is the lowest common multiple of f and 48?
336
Suppose 19*j = 23*j - 40. What is the lowest common multiple of 7 and j?
70
Let f be (704/(-6))/((-3)/9). Calculate the common denominator of (132/f)/(-1 + 10/(-8)) and 154/8*4/(-10).
30
Let z be (1 - 1) + 2 + -9 + 7. Suppose z = -2*w + 48. Calculate the lowest common multiple of 30 and w.
120
Let f be 100/(-30)*(-12)/10. Suppose v - 5*h = -17, -f*v = -0*h + 4*h - 52. Let c(r) = r**2 + 2*r - 4. Calculate the least common multiple of v and c(-6).
40
Let y = -34 - -89. Let v = 79 + -49. Calculate the least common multiple of y and v.
330
What is the common denominator of 31/155 + (-1006)/(-120) and 11/1260?
1260
Let h(t) = 357*t**2. Let p be h(-1). Let z = 11467/10 - 1145. Find the common denominator of z and p/28 - (2 - 0).
20
Suppose -5*s + 530 = -5*l, -5*s + 3*l = -489 - 37. Let u = -74 + s. Calculate the common denominator of (-208)/u - 4/6 and -6/5.
5
Let q(p) = 3*p - 7. Suppose 3*r = 3*z, -2*z + 10 = 3*r - 5. Let g = -34 - -39. Calculate the smallest common multiple of q(r) and g.
10
Let c = 16 + 95. What is the lowest common multiple of c and 27?
999
Let n = -19124 - -669286/35. Calculate the common denominator of -10/63 and n.
315
Let b(l) = l**2 + 14*l - 4. Let u be b(-14). Find the common denominator of -1 + (-2)/((-24)/142) and u/40 - -6 - 0/(-1).
30
Suppose -2*g + 2*c = -8, -3*g - 2*c = 2*g - 6. Let u be (60/8)/(g/4). What is the common denominator of (-2)/(-12)*207/u and 69/4?
20
Let h be (-5 + 16/3)/(1/9). Suppose -2*z = h*z + 4*s - 156, 12 = 3*s. Calculate the smallest common multiple of z and 2.
28
What is the common denominator of 4/55 and 4/6 + 4 + (-3096)/675?
275
Let x = 6/661 + 56041/15864. What is the common denominator of x and 166/54 - 4/6?
216
Let o = 1959793/120 - 16333. Find the common denominator of -23/120 and o.
120
Suppose 3*f = 8*f - 5. Let t(q) = -9*q**2 - 245*q - 47. Calculate the smallest common multiple of f and t(-27).
7
Let j be (-2)/6 + 4/((-36)/267). Calculate the common denominator of 10/43 and j/(-10)*1/(66/(-82)).
473
Calculate the common denominator of 2/(-7) + -2*383/210 and -65/183.
915
Let z(u) = -7 - 1 - 5*u - 7*u**2 + 8*u**2. What is the lowest common multiple of z(8) and 4/(-18) - 152/(-36)?
16
Suppose 0*l + 3*l - 5*u = 1, -5*u + 1 = -2*l. Let j(a) = a**2 - 6*a - 62. What is the smallest common multiple of (l - -25)/(3/2) and j(12)?
90
Let p(u) = u**2 + 9*u + 9. Let f be p(-8). Suppose -5 - f = -3*t. Suppose -2*n = -5*l + 20, -t*n - 5 = -l + 7. What is the lowest common multiple of l and 3?
6
Let p be 3/(6/5) + 33/22. Calculate the smallest common multiple of -3 + -28*(1 + (-5)/p) and 8.
8
Let o(f) = 3*f**2 - 1. Let b = -112 + 110. Calculate the lowest common multiple of 10 and o(b).
110
Suppose 4*a = -0*a + 112. Let t(u) = 2*u**3 + 43*u**2 - 25*u - 33. Let c be t(-22). What is the common denominator of (a/5)/(c/110) and -12/11?
33
Let l = 75067/12 + -6251. Calculate the common denominator of l and 11/20.
60
Let r = -7437/4 - -1836. Let u = -46 - -191/2. Find the common denominator of u and r.
4
Suppose -8*q - 154 = -6*q. Let h = -75 - q. Let l(s) = s**2 + 3*s + 6. Calculate the smallest common multiple of h and l(-4).
10
Let y be (0 + 3)*11/1. Let r be 121/(-3)*1554/37. Find the common denominator of 51/10 and (r/y)/(-1 - 3).
30
Let o = -534 - -2173/4. Let q = -95/14 + 1/126. What is the common denominator of q and o?
36
Suppose 4*o = -g + 13, 4*o - 5*g - 168 = -185. Let s = 2 + 7. What is the smallest common multiple of o and s?
18
Let k(j) = j - 3. Let v(g) = -g**3 - 15*g**2 - 17*g - 28. What is the least common multiple of v(-14) and k(5)?
14
Let y be ((-2)/(-4))/(1/(-20)). Suppose 0 = 4*n + 4*h - 148, h = 2*h + 3. Let r = n + y. What is the smallest common multiple of 20 and r?
60
Let y = 2/12943 + -98089/595378. Calculate the common denominator of -52/9 and y.
2898
Let g(q) = -22 - 2*q - 6 + 47*q**2 - 13*q - 48*q**2. What is the lowest common multiple of 16 and g(-12)?
16
Suppose -2*g = -g - 5*k - 29, 2*g - k = 13. Suppose -i + 4 = -3*i. Calculate the least common multiple of 14 and -1 - 46*i/g.
154
Let p(t) = -t**2 + 19*t - 9. Let w(y) = -y**2 - 15*y - 17. Let z be w(-12). Let m be p(z). What is the common denominator of (1/(-8))/(m/(-284)) and 31/38?
342
What is the common denominator of 3/(495/(-176))*(-6)/14 and -33/5?
35
Let j = 19784 + -277089/14. Let f(x) = 7*x + 1. Let a be f(-1). Calculate the common denominator of j and (a/40)/3*206.
70
Let d(l) = -2*l**3 - l + 9. What is the smallest common multiple of 24 and d(-4)?
1128
Calculate the common denominator of ((-45)/270)/(32/(-378)) and 123/80.
160
Let u = -199304693/16 - -12466169. Let k = u + -9630. What is the common denominator of k and 11/8?
16
Let q = 1756/3 + -17623/30. Find the common denominator of 29/142 and q.
710
Let i be (-6)/(-15) - (-2769)/15. Let q = 112 + i. Find the common denominator of 87/10 and q/(-12)*2/15.
10
Suppose -3*g = -4*u + 17, 0 = 2*g - 3*u + 7 + 6. What is the smallest common multiple of (g - 9)/(4/(-8)) and 22?
176
Let u(a) = a**3 - 16*a**2 + 26*a + 36. Let t = -3 - -11. Suppose -4*k + 0*z = -4*z - 4, t = 2*z. What is the smallest common multiple of u(14) and k?
40
Let a(o) = -2*o**2 + 3. Suppose 0 = -3*v, 3*v = 3*b - 2*v. What is the lowest common multiple of 4 and a(b)?
12
Find the common denominator of -47/121 and -465*(-8)/(-1386) + 3.
2541
Suppose -6*a + 76 = -2*a. Suppose 23 = 7*k - a. Calculate the least common multiple of 9 and k.
18
Let s = -18673/6 + 3120. What is the common denominator of 137/(-10)*(-5)/6 and s?
12
Suppose 4*s - 660 = -8*s. Suppose 4*p - 79 = q, 5*q = -3*p + 10*q + s. Calculate the lowest common multiple of p and 10.
20
Let x be ((2 + 37)/3)/((-1)/(-1)). Let j(p) = p**2 - 13*p + 27. What is the lowest common multiple of j(x) and 2?
54
Let p be 7/(-2)*(-40)/242. Let g be 191854/(-715)*10/(-1672). Let d = g - p. Calculate the common denominator of d and -27/22.
418
Suppose -2*u - 24 = -w, -2*u + 15 = 3*u. What is the lowest common multiple of w and 24?
120
Let o = 2 + -9. Let c be (3 - (3 - -1))*o. Suppose c*l = 4*l + 6. What is the lowest common multiple of 1 and l?
2
Suppose -5*i = 39 + 1. Let l(s) = s**2 + 8*s + 1. Calculate the least common multiple of l(i) and (-12)/(-3) - -1 - -1.
6
Suppose 0*v = 5*v + 450. Find the common denominator of 40/(-12) - -3 - v/16 and -47/30.
120
Let j = -16/1021 - 3239601/2042. Let o = j - -1620. Let d = 566/21 - 5260/231. Calculate the common denominator of d and o.
22
Let v(r) = r**2 + 4*r - 21. Calculate the lowest common multiple of v(-11) and 105.
840
What is the least common multiple of 42 and 3/(3/84*44/33)?
126
Suppose 0 = -0*y + y + i - 281, 2*y + i - 561 = 0. What is the lowest common multiple of y and 22?
3080
Let d = -4 - -8. Suppose 4*n - 120 = 5*z, 5*z = -5*n + 2*n + 55. Suppose q - 2*q + 35 = 5*b, -2*q = b - n. What is the smallest common multiple of d and q?
20
Suppose 229 = 12*x - 563. Calculate the smallest common multiple of x and 24.
264
Suppose -5*s - 162 = -237. Calculate the least common multiple of 6 and s.
30
Let x be (3 - (-10)/(-2) - -1)*-3. Suppose -2*u = 5*b - 2*b - 17, -27 = -5*b - x*u. What is the smallest common multiple of 3 and b?
3
Suppose 0*o = -4*o + 4*b + 108, -85 = -3*o + 5*b. Suppose 5*n = o, 3*g + 12 = 2*g + 2*n. What is the common denominator of 470/20*g/8 and -29/11?
88
Let g = 49 + -50. Calculate the least common multiple of (-4 - 6)/(g*2/6) and 8.
120
Let q(u) = u**2 - 8*u - 10. Let j be q(9). Suppose -a - 2*h + 24 = 0, -h + 22 = -4*a + 91. What is the lowest common multiple of a and (-20)/30*18/j?
36
Suppose 3*q = 6*q + 24. Let l = 5 + -23. What is the common denominator of 37/12 and (l/q)/((-42)/364)?
12
Let w(m) = m**2 - 15*m + 28. Let c = 162 + -124. Calculate the lowest common multiple of w(13) and c.
38
Let v = -126 - -77. Calculate the smallest 