 Let d = 93 - j. Calculate the common denominator of -45/2 and 132/d*35/28.
10
Let i(o) = o**2 - 16*o - 25. Let w(g) = -g**3 + 6*g**2 - 6*g - 4. What is the smallest common multiple of i(18) and w(3)?
55
Suppose -3*u + 50 = -x, -u = -2*u - x + 10. Suppose 3*k = -14 + 95. What is the lowest common multiple of u and k?
135
Suppose -42 = 2*y + 5*v - v, -19 = 3*y - 5*v. Let w = 3 - y. Suppose -4*d + 17 = 1, 0 = 4*k - 2*d - 8. What is the lowest common multiple of w and k?
16
Let c = -4 - -4. Let l be 0 - (-3 - -1) - c. What is the lowest common multiple of (l/(-6))/(10/(-330)) and 10?
110
Let f = -291451/59 + 4940. Find the common denominator of 50/11 and f.
649
Let q = 720 + -159. Calculate the least common multiple of q and 21.
3927
Suppose 18 + 6 = 2*w. Let i be (14/(-3))/((-8)/w). Suppose 0 = j + i - 1. Calculate the common denominator of j and -34/11.
11
Let i be 3/(-6)*1/(2/28). Let m = 3736/747 + 46/83. Find the common denominator of m and 296/(-140) + 2/i.
45
Let t = -30 + 36. Let z = -16 - -37. What is the lowest common multiple of z and t?
42
Let b = -115305 + 13144655/114. What is the common denominator of -73/152 and b?
456
Find the common denominator of ((-142)/(-10))/((-2268)/54) and 40/9.
630
Suppose i + j + 773 = 4366, 3*j = -i + 3597. Let l = 35983/10 - i. Find the common denominator of l and 59/12.
60
Let g = -30 + 40. Let u(q) = q**3 - 10*q**2 + 2*q - 8. Let c be u(g). Find the common denominator of -117/14 and 6/(-21)*(-931)/c.
42
Let u = -18 - -51. Suppose 2*j - 62*m - 56 = -58*m, -2 = m. Calculate the least common multiple of u and j.
264
Let m = 2167 + -2139. Let a be (2/(-6))/(1/(-69)). Suppose d + 3*z = 3, -3*d - z + 6*z = -a. What is the least common multiple of d and m?
84
Suppose -5*h = -70*o + 69*o + 107, 357 = 3*o + 3*h. What is the least common multiple of o and 81?
1053
Suppose -l - 700 = 4*l. Let d(i) = -3*i + 7. Let a be d(5). Calculate the common denominator of 73/18 and (-2)/a + 1701/l.
90
Suppose 6*q - 4*s = 5*q + 25, 6 = -3*s. Let y = q - 11. Calculate the lowest common multiple of y and 10.
30
Let h(i) = -i**3 - 11*i**2 - 12*i + 3. Let l be h(-6). Let r = 115 + l. Calculate the lowest common multiple of r and 12.
60
Let t be (39/6 + -1)*(-2779)/(-4). Let u = t - 3814. Calculate the common denominator of u and 81/4.
8
Let b(y) be the third derivative of 0 + 1/24*y**4 - 5*y**2 + 0*y + 1/3*y**3. What is the least common multiple of b(8) and 18?
90
Let p = -152 + 89. Let t be ((-111)/(-9))/(2/(-6)). Let h = t - p. Calculate the common denominator of -9 and h.
1
Let k(g) = 3*g + 156*g**2 - 2*g + 3 - 152*g**2. Calculate the least common multiple of k(2) and 30.
210
Let h(x) = x**3 - 6*x**2 + 5*x + 3. Let l(y) = 7*y**2 - 3*y + 2. What is the least common multiple of l(2) and h(5)?
24
Calculate the lowest common multiple of 55 and ((-150)/12)/(5/(-20)).
550
Let h = 36 + -18. Suppose 0 = 4*g - m - 15, -3*g = -m - 4 - 6. Suppose 2*q - 14 = -s + 6, -s + 23 = g*q. What is the smallest common multiple of s and h?
18
Let j = 4704726/11 + -57152869/132. Let n = j + 5271. Find the common denominator of n and -31/2.
12
What is the common denominator of 53/126 - 45/(-90) and 115/72?
504
Let b = -32 - -34. Suppose b = 4*q - 2. What is the lowest common multiple of q and 6?
6
Let j be (6126/12)/(6/(-8)). Let h = j - -675. Let l = -10/9 + 187/63. Find the common denominator of h and l.
21
Find the common denominator of (-355)/(-33) - (78 + -67) and 13/57.
627
Let c(l) = 5*l**2 + 5*l - 17. Let h be c(-9). What is the common denominator of h/(-14)*6/183 and -81/10?
610
Suppose 30 + 34 = 16*d. What is the least common multiple of 442 and d?
884
Suppose 0 = 4*u + 4*p - 2*p - 20, -4*p + 15 = 3*u. Suppose -8*x + u*x = -36. What is the smallest common multiple of x and 2?
12
Find the common denominator of (-505)/(-102) - (-4)/(-34) and (1/(-3))/(9/(-27)).
6
Suppose 10 = -2*i, 4*r - 4*i - 13 = -3*i. Calculate the smallest common multiple of r/(-6)*(-21 - -3) + -2 and 30.
60
Let s(z) be the third derivative of z**4/8 + 10*z**3/3 + 21*z**2. Suppose -5*r = -12 - 28. What is the least common multiple of s(-2) and r?
56
What is the common denominator of 104/52 - 4/45 and -49/150?
450
Suppose -4*u + 573 - 445 = 0. Suppose -12 = -w - 5*s, -w = -5*s - 1 - 31. Calculate the least common multiple of u and w.
352
Suppose -2 - 8 = 5*w. Suppose -2*c + 29 = 2*c + a, 0 = -2*c + 3*a - 3. Calculate the lowest common multiple of c and (40/(-15))/(w/12).
48
Let z be (3 - (-2051)/(-684))*-1. Let t = z - 1193/2736. What is the common denominator of t and -16 - 2*(-1)/8?
16
Suppose p = 4*t + 188 - 47, t = 2*p - 303. What is the least common multiple of p and 12?
612
Let r(v) = -v - 1. Let o be r(5). Let f = 10 + o. Calculate the smallest common multiple of f and -3*24/(-28)*7.
36
Let v(l) = 20*l**2 + 3*l. Let q be v(-2). Let s = 46 - q. Calculate the common denominator of 47/18 and (-1641)/210 - (-8)/s.
90
Let m = 23 + -27. What is the common denominator of (m/(-30))/(64/8720) and -7/4?
12
Let d be ((3 - 3) + -17)*-3. Let v = d + -26. What is the least common multiple of v/10*16/10 and 4?
4
Calculate the smallest common multiple of ((-4)/(-12))/(6/(-12))*-2199 and 22.
16126
Calculate the common denominator of 49/120 and (-14)/(-36)*(-185)/(-350).
360
Let a = 61 + -40. What is the smallest common multiple of (-6)/14 - (0 + (-471)/a) and 20?
220
Let k(m) = 2*m**3 - m**2 - m - 1. Let j be k(-1). Let y = j - -7. Suppose -4*a = 3*q - 22, 0 = -y*a + a - 15. Calculate the common denominator of -59/4 and q.
4
Suppose -545 = -24*o + 463. What is the smallest common multiple of 70 and o?
210
Let f(d) = d**3 + 4*d**2 + 3*d - 4. Let p be f(-3). Calculate the common denominator of -3 - p/(48/285) and (-645)/(-50)*(-1)/3.
20
Suppose -2 = 2*g - 2*d, -6 = 2*g - d - 1. Let r = 1 - g. Calculate the lowest common multiple of 8 and r.
40
Suppose -4*g + 17 = 1. Calculate the common denominator of (-7)/35*(-93)/2 and (-11)/g*(-28)/6.
30
Let b(y) = 123*y - 1326. Let w(g) = g**2 + 4*g + 6. What is the lowest common multiple of b(11) and w(-6)?
54
Calculate the least common multiple of 18 and 1 + 45/((-5)/125*-5).
2034
What is the common denominator of 51/194 and ((-9)/54)/((-30)/(-207))*1?
1940
Suppose 3*b - 5*b = 0. Let p = b - 0. Find the common denominator of 66/24 - (1 - p) and -7/8.
8
Let j = -29569 - -532379/18. Calculate the common denominator of -5/24 and j.
72
Let r(k) = -k**2 + 18*k - 1. Let m be r(12). Let w = m - 59. What is the lowest common multiple of w and 22?
132
Suppose 13*v = 17*v - 316. Let t = -53 + v. Calculate the lowest common multiple of 8 and t.
104
Let z(f) = f**3 + 10*f**2 + 19*f - 5. Let v = 27 - 16. What is the smallest common multiple of z(-7) and v?
99
Let a = -907 - -927. Calculate the smallest common multiple of a and 48.
240
Let d = 5/1544 - 2102/965. Find the common denominator of -151/12 and d.
120
Let v be (-3)/(((-15)/(-35))/((-12)/(-21))). What is the lowest common multiple of 1/v*2 + 15/6 and 31?
62
Suppose 3*g - 1159 + 316 = 0. What is the least common multiple of g and 1?
281
Let z be (1 + 2/4)/((-3)/(-80)). Suppose -z - 50 = -5*n. Calculate the least common multiple of n and 5/2*8/10.
18
Let h(j) = j**2 + 10*j + 18. Let b be h(-12). What is the common denominator of (-16)/(-14)*(-87)/12 and (-4)/(-12) + (-152)/b?
7
Let s = 245 + -163. Let z(q) = q**3 - 16*q**2 + 12*q - 174. Calculate the least common multiple of s and z(16).
738
Let o be ((-3)/1117)/((-6)/4). Let m = 193377941735045/43560551232176 + -3/4874725966. Let b = o - m. Find the common denominator of 65/22 and b.
176
Suppose -16 = x - 6. What is the common denominator of -5 - -5 - 201/66 and x/(-4)*(-79)/(-20)?
88
Let f = -21813/2320 + 1/464. Calculate the common denominator of 3 + 380/(-56) + -1 and f.
70
Suppose -5*g + 2425 = -5*q, -219 - 272 = q + 5*g. Let x = 2239 + q. Let h = -17511/10 + x. What is the common denominator of h and -95/8?
40
Let s = 128/793 - -929/14274. Find the common denominator of -17/54 and s.
702
Let s = 33/136 - 138/17. Calculate the common denominator of s and 71/76.
152
Let n = -1/199 + 4589/2388. Let m = -423973/18 - -23561. Find the common denominator of m and n.
36
Let g = -199373/11844 - 1/11844. What is the common denominator of g and 2/4 + 4