et t be (6/(-8))/((-2)/16). What is the common denominator of 9/16 and t/(-33) - (-70)/d?
176
Let h(t) = -2*t + 22. Let z be h(9). Let j be (-45)/36*(0 - z). Suppose -y + 4*y + 4*r = 38, j*r - 19 = y. Calculate the least common multiple of 1 and y.
6
Suppose -3*j - 9 - 2 = -2*q, 3*j = 9. Suppose 2*z + q + 4 = 4*o, z + 8 = 3*o. Calculate the common denominator of -73/8 and -1*162/(-44) - o.
88
Suppose -3 = 3*l - 2238. Calculate the common denominator of l/80 - (3 - -1) and (-262)/88 + 6/8.
176
Let g(u) = 2*u - 16. Let t(y) = y**2 - 15*y - 5. Let k be t(16). Calculate the least common multiple of g(k) and 6.
6
Suppose -996*i - 216 = -1004*i. What is the lowest common multiple of i and 54?
54
Let c = 46347 - 1853771/40. What is the common denominator of c and -137/24?
120
Let m = 16333921980 + -220801957429903/13518. Let f = m + -7/751. Calculate the common denominator of ((-3)/20)/((-114)/(-8455)) and f.
72
Suppose 2 = -o - 4*f, -4*f + f - 59 = -5*o. Let x(v) = -3*v + 8. Let l be x(o). What is the lowest common multiple of 3 + ((-6)/2 - l) and 2?
22
What is the least common multiple of 16 - 48/((-12)/(-1)) and 218?
1308
Let h = 6253/24 - 262. Find the common denominator of h and 71/906.
3624
Let c = 5805 + -46377/8. Let j(i) = -i**3 - 8*i**2 + 12*i + 5. Let y be j(-9). What is the common denominator of c and -14*(-2 - y/12)?
24
Let w = -869 - -873. Suppose -2*a - 70 = -7*a. What is the least common multiple of a and w?
28
Let v(n) be the first derivative of -2*n**3/3 + 15*n**2/2 - 8*n + 11. What is the least common multiple of v(6) and 22?
110
Let a = -2000813/42 - -47641. What is the common denominator of 41/18 and a?
126
Suppose -10*i = 7*i - 204. What is the smallest common multiple of i and 40?
120
Let b = -306 + 314. What is the smallest common multiple of b and 222?
888
Let g = -131/2 + 579/10. Calculate the common denominator of 13/35 and g.
35
Let h = 25/13 - 725/208. Find the common denominator of h and -35/72.
144
Let t = 2 + 5. Let u(r) = -r**2 + 8*r - 4. Let b be u(t). Let y = 15 - b. What is the smallest common multiple of 6 and y?
12
Suppose -8*g + 1 = 1. Let o be (-2)/(-4) + (-2)/4. Suppose g = 4*w - o*w - 40. Calculate the lowest common multiple of w and 22.
110
What is the common denominator of 164/(-36) + 3 - (-6 + 3) and 127/6?
18
Suppose 0 = 2*x + 3*a - 11, -35 = -5*x - 4*a - a. Calculate the common denominator of -31/24 and (-2)/x - 966/180.
120
Suppose 720 = 3*d + 3*d. Suppose 0*y = -4*y + d. Find the common denominator of 14/5*y/(-9) and -70/9.
9
Suppose 7*u + 8 = 8*u. Let z(c) = -c**3 + 8*c**2 + 2*c - 12. What is the smallest common multiple of z(u) and 18?
36
Let r(b) = -57*b**3 + 30 + 112*b**3 - 54*b**3 - 18*b**2. Calculate the lowest common multiple of r(18) and 11.
330
Suppose 5*x + 34 = 154. Let l = 6 - x. Let w = l + 24. Calculate the smallest common multiple of 20 and w.
60
Suppose 1248 = -0*o + 4*o. Calculate the least common multiple of 22 and o/30 + (-6)/15.
110
Let q = 27 - 17. Suppose q*d - 5*d + 90 = 0. Calculate the common denominator of 99/10 and ((-38)/d + -2)*21.
30
Suppose 37*t = 3*t + 4284. Calculate the least common multiple of 168 and t.
504
Let o = 6387/1780 + -128/89. What is the common denominator of 47/20 and o?
20
Let t be ((-8)/(-24))/(2/18). What is the common denominator of (-9)/15 - (-605)/50 and (t - 605/30) + 4?
6
Suppose -4*x - 2*k - 26 = 0, -3*k + 0*k = 2*x + 11. What is the common denominator of -93/4 and (-218)/72 - (x/2 + 2)?
36
Suppose o - 6 = -v - 1, 5*v = 3*o - 23. What is the least common multiple of o and (-546)/(-27) + (-4)/18?
60
Suppose 0*w + 6*w = -48. Calculate the common denominator of (1 - 91/(-6)) + 2 and w/(-36) - 1428/(-135).
30
Let n = -63/17 + 1015/306. Let h be ((-2)/(-30))/(14/(-612)). Let m = h + 4987/210. Calculate the common denominator of m and n.
18
Let l = 12 - 8. Let v be (-7)/(-28) - (-335)/l. What is the common denominator of (-39)/48*v/9 and -79/22?
132
Calculate the common denominator of (-176)/99 + 1 + -5 and 77/57.
171
Let a = 6026 - 66331/11. Calculate the common denominator of -59/5 and a.
55
Let w(k) = 0*k**2 + 3*k - 3 + 0*k**2 + k**2 + 3*k**2. What is the lowest common multiple of 8 and w(1)?
8
What is the smallest common multiple of 24 and 13 + (-324)/(-48) + (-2)/(-8)?
120
Let p(t) = 3*t - 10. Let a be -1*(-5)/(15/342). Calculate the smallest common multiple of p(5) and ((-9)/27)/((-2)/a).
95
Let k be (0 - 5) + (7 - 3). Let i(f) = -f**2 - f - 1. Let s(j) = -8*j**2 - 3. Let q(t) = k*s(t) + 2*i(t). Calculate the least common multiple of 1 and q(1).
5
Let s = 8 - -3. Let k = -403 + 1240/3. Find the common denominator of k and (-23 - (0 - 3))/s.
33
Calculate the lowest common multiple of 11 and (-14 - -3) + -1 + 554.
5962
Let s = 11349/2864 - 9/358. What is the common denominator of s and (-286)/56 + 1/(-4)?
112
Suppose 3*h - 138 = -17*k + 14*k, -4*h - 86 = -2*k. What is the lowest common multiple of k and 16?
720
Let x(j) = 3*j - 11. Let w be x(5). Calculate the lowest common multiple of (-45)/(-2) - 2/w and 5 - 0 - (-12)/(-4).
22
Suppose 0 = 4*v + 264 - 96. Let z = 83 + v. Let d = -962 + 1863/2. What is the common denominator of z and d?
2
Let v be 58/(-548)*8 + -3 - -3. Let x = v + -11897/1644. What is the common denominator of -9/4 and x?
12
Let u = 7324249/948 - 7726. Let y = u - 9721/3792. Let n = -73809/16 + 4610. What is the common denominator of n and y?
16
Let h = 451 + -10867. Find the common denominator of -93/8 and 4/(-14) + 972/h.
248
Let i be ((-2062)/1006 + 2)*16/(-40). Let o = i - -41689/3018. What is the common denominator of 23/4 and o?
12
Calculate the common denominator of -54/25 and 6808/(-1656)*(-6)/(-20).
150
Let j be ((-20)/(-3))/(3/(-9) + 1). Let w be (-1)/4 + (-697)/(-4). What is the common denominator of -23/10 and ((-2)/(-6))/(j/w)?
10
Let z(g) = 68*g - 41. What is the lowest common multiple of z(1) and 216?
216
Let b = -30401/10 - -3044. Let j(x) = -45*x**3 + x**2 - 4*x + 2. Calculate the common denominator of j(1) and b.
10
Let x = 1828 + -1495. What is the lowest common multiple of x and 8?
2664
Let i be (-3 - (-1)/1)*20. Let h be 92/5 + 16/i. Suppose 6 = 5*m - x - h, -5*x = -5*m + 40. What is the least common multiple of 6 and m?
12
Let p = 1073621/36 + -29826. Calculate the common denominator of -56/99 and p.
396
Suppose 7178 = -2*w + 1936. Let r = w + -19423. Let a = r - -396893/18. What is the common denominator of -35/6 and a?
18
Suppose -3*a - 886 = 4*i + i, 4*a = -4*i - 712. Let w = i - -86. Find the common denominator of 107/18 and ((-1)/(-20))/((-12)/w).
72
Find the common denominator of (3 - (-31)/(-12))/(48/(-24)) and 32/15.
120
Calculate the common denominator of ((-2289)/105)/(728/10) and -49/78.
1092
Let f = -3 + -85. Calculate the lowest common multiple of (f/6)/(4/(-6)) and 17 - -2 - (-5 - -2).
22
Suppose 5*u + 3262 = 19*u. Calculate the lowest common multiple of 3 and u.
699
Suppose 0 = -0*g - 2*g + 32. Let j(l) = -l**2 + 5*l + 22. Let i be j(-7). Let h = i - -65. What is the smallest common multiple of h and g?
48
Suppose 4*m - 4*z = 112, -m - 2*z = -0*m - 34. Let s be (-43)/(1/(85/m)). Let k = s + 392/3. What is the common denominator of k and 137/6?
6
Let v be (-14)/28 + 13969/(-1270). Let g = v - -38/127. Let r = -10/21 + 163/210. What is the common denominator of g and r?
10
Let c = -730 + 738. Calculate the lowest common multiple of 24 and c.
24
Let d(m) = 7*m**2 - m. Let s be 1 + (-2 - (2 - 2)). Let j be d(s). What is the lowest common multiple of 2 - 3 - (-4 - j) and 1?
11
Find the common denominator of 7/8 and (0 - 61/33) + (-32)/(-192).
88
Let y be (-1 - 1/(-3))/(-889 - 9). Let d = -28279/10776 - y. Let f = -45443/12 - -3782. Find the common denominator of d and f.
24
Let t be 15*(-4)/3*156/(-40). Suppose 3*q + 74 = 5*q + 3*p, p - t = -2*q. Calculate the least common multiple of q and 12.
120
Suppose -3*t + 5*f - 210 = 0, 0*f + 6 = 2*f. Let w = t - -911/14. Calculate the common denominator of w and 52/9.
126
Let o(l) = -2*l - 30. Let b be o(0). Let i = 12 + b. What is the lowest common multiple of 9 and (i/(-27))/((-4)/(-30))?
45
Find the common denominator of 2/13 + 12/(-1170)*-1077 and -19/5.
5
Suppose 296 = -9*g + 251. Let u be 410 - (-2)/(-1 - 1). Find the common denominator of u/40 - 