 (-11 + 2) and x?
30
Let v(q) = q**2 + 8*q - 1057. What is the lowest common multiple of v(29) and 1 - -11 - (2 + -2)?
48
What is the common denominator of (3 - 1053/360)*130/(-12) and 89/8?
16
Let z(q) = -10*q - 3. Suppose 3*h + 4*o + 5 = 0, 0*h - 4*o = -3*h - 13. What is the lowest common multiple of 9 and z(h)?
27
Let r = -387451/63 - -43059/7. What is the common denominator of r and -17/14?
126
Let w = 129 - 126. Suppose 4*s - 3*t - 25 = 0, 5*s - 26 = w*t + 3. What is the smallest common multiple of s and 16?
16
Let q(n) = n - 2. What is the lowest common multiple of 28 and q(72)?
140
Let k(i) = i - 2. Let y(d) = d + 24. What is the smallest common multiple of k(4) and y(-12)?
12
What is the common denominator of ((-1413)/(-45))/((-6)/1) and 73/27?
270
Let y = -3616141/17928 - -16668/83. Let x = y + 7/24. Find the common denominator of x and -61/27.
27
Suppose -15*d - 533 = -1013. Calculate the lowest common multiple of (-8)/(-6) + (-2)/(-3) and d.
32
Let d = 3 + 1. Suppose -3*t + 18 = 4*n, -4*t + d*n + 43 = 3*n. What is the lowest common multiple of t and 90?
90
Let z(r) be the third derivative of -r**2 + 0 - 5/6*r**3 + 1/12*r**4 - 1/20*r**5 - 1/120*r**6 + 0*r. Calculate the lowest common multiple of z(-4) and 7.
21
Let d be ((-4)/6)/((-8)/90). Let u = d + -9. Find the common denominator of 63/46 and u.
46
Let w(i) = i**3 - 6*i**2 + 2*i - 1. Let v be w(6). Suppose -25*q + 5 = -20*q. Let p = q + v. Calculate the smallest common multiple of 20 and p.
60
Suppose 2*g - 4*a = -a - 120, -62 = g - 2*a. Let p = g + 97. Calculate the common denominator of p and (-1)/3 - (-526)/(-24).
4
Suppose -4*y + 552 = 4*u, -2*u + 311 = 5*y - 10*y. Calculate the smallest common multiple of u and 91.
1001
Let q be 0 - (2 - (-32)/(-4)). Calculate the least common multiple of 15/(-10)*(-8)/q and 1.
2
Let a(u) = 10*u**2 - 54*u - 17. What is the least common multiple of 152 and a(6)?
152
Let b = -52630/159 + 331. Calculate the common denominator of 149/6 and b.
318
Suppose 73 - 273 = 5*a. Suppose -j + 4*j = -54. Let d = j - a. What is the smallest common multiple of d and 4?
44
Let k(z) = z**3 + 5*z**2 - 5*z + 10. What is the least common multiple of 216 and k(-6)?
216
What is the smallest common multiple of (-201)/(-4) - 90/72 and 448?
3136
What is the common denominator of -93/104 and ((-1)/4)/((-1989)/1908)?
1768
Let g be 6/14 - 9/63*-60. Suppose 15*s - 129 = -g. What is the smallest common multiple of s and 14?
56
Let c = 13997/12 + -1168. Calculate the common denominator of c and -76/21.
84
Calculate the smallest common multiple of 64 and (84/10)/(-3)*(42 + -47).
448
What is the lowest common multiple of 19 and (539/105 - 5) + 309/45?
133
Let x = -17669/2760 - -166/115. Let i(m) = -6*m**3 + 4*m**2 - 8*m + 3. Let q be i(8). Find the common denominator of x and ((-2)/14)/(54/q).
72
Let s(b) = -b**3 + 7*b**2 + 8*b + 2. Let w be s(8). Suppose 3*c - 2*c + w = 0. Calculate the common denominator of (-2)/(-42)*(-33)/c and 43/20.
140
Let j = 11901439/156 - 76292. Find the common denominator of j and -80/117.
468
Let z(b) = 23*b**2 + 3*b + 2. Suppose 5*x + l + 6 = 0, 2 = x - 4*x + l. What is the least common multiple of z(x) and 30?
330
Let y = -58444202/731 - -79951. Let d = y - -71117/7310. Let w = 8139/10 - 802. Calculate the common denominator of d and w.
10
Find the common denominator of 3/(9918/(-1336)) - 24/(-72) and 9/232.
4408
Let s = -3/569 + 7433/6828. Find the common denominator of 37/16 and s.
48
Suppose -4*x - 3*k + 317 = 2, 0 = -x + 4*k + 93. Calculate the smallest common multiple of x and 36.
324
Let p be (-2 + (-26)/(-24))*1. Let u = 11/12 - p. Let n = -659/3 + 857/4. Find the common denominator of u and n.
12
Let r(y) = -y**3 + 6*y**2 + 8*y - 5. Let h be r(7). Let v = h + 3. Suppose -a + 23 = v. Calculate the smallest common multiple of a and 20.
180
Calculate the least common multiple of 9 and 11/(22/(-6)) + 0 + 14.
99
Suppose 4*c + 47 = 3*k, -4*k - 24 + 70 = 3*c. What is the lowest common multiple of 88 and k?
1144
Suppose 0 = 5*u - 321 - 1164. Find the common denominator of 2/(-14) + u/(-126) - 1 and -71/4.
4
Suppose 4*k = k. Let a(l) = 2 - 1 + l + k + 5. What is the smallest common multiple of a(-5) and 8?
8
Let d = 263049/28 - 36471/4. Let w = d - 10921/42. Calculate the common denominator of -67/6 and w.
6
Let x = -7/1665 - 80447/6660. Calculate the common denominator of 43/33 and x.
132
Suppose -2*q + 2 = 3*o, -5*o + 3*q = -2*q - 45. Suppose 4*g = -4*k - 44, 0 = 3*k - g + 1 + 32. Let v = 23 + k. Calculate the lowest common multiple of o and v.
12
Find the common denominator of (-2)/(-7) + 1639/462 and -83/2.
6
Calculate the smallest common multiple of 8/56 - (-306)/14 and 33.
66
Let a(n) = -33*n - 57. Calculate the least common multiple of 12 and a(-14).
1620
Suppose g + 3*r - 17 = -r, 5*g - 16 = 3*r. Suppose 0 = -g*y - 3*a + 7, 5*y - 8 = 2*a + 4. Calculate the common denominator of 7/8 and (-12)/(-396)*327/y.
88
Let i = -1565/12 - -3077/24. Find the common denominator of i and -19/84.
168
Let y = 59249/24 + -2473. What is the common denominator of -11/60 and y?
120
Let j = -423 + 479. What is the lowest common multiple of j and 8?
56
Let g = -2692 + 16277/6. Let w be 6042/(-231) + (-8)/14. Let y = -2297/88 - w. Find the common denominator of g and y.
24
Let r = -435943/494886 + -2/35349. What is the common denominator of 39/8 and r?
168
Find the common denominator of 39/2 and (2/120)/((-20)/3645*3).
80
Suppose -3*p - 4*g + 529 = 0, -4*g + 20 = g. Calculate the least common multiple of p and 152.
1368
Suppose -7*b = -5*b + 4. Let r be (b - (-6)/(-4))*-2. Suppose -k = -r*k - 96. Find the common denominator of 42/11 and k.
11
Let u(o) = -o**3 - 2*o**2 + 2*o + 46. Let z be 0*(-5 - -4)*1. What is the lowest common multiple of u(z) and 12?
276
Suppose -30*z + 36 = -18*z. Calculate the least common multiple of 60 and z.
60
Calculate the common denominator of 113/6 and 4/(-22) - (-4456)/3696.
42
Suppose 5*s - 11 - 14 = 0. Suppose s*u - 59 = -3*y, 2*y + 4*u = 3*y - 48. Suppose 2*v + 2 = d - v, 5*d - y = -3*v. What is the least common multiple of d and 7?
35
Let q be 1/4 - 241425/180. Let j = -2597/2 - q. Calculate the common denominator of (-3)/9 + 71/(-102) and j.
34
What is the common denominator of ((-72)/4)/(-23 + (1 - 3)) and 7/5?
25
Suppose -80 = -a - 3*a. Suppose -2*c + 4*r - 8 = 0, -5*r = -5*c - a - 25. Let d = c - -30. What is the smallest common multiple of 6 and d?
48
Suppose -80*z + 78*z = -32. Let h(q) = q**2 + 6*q + 3. Let c be h(-6). What is the smallest common multiple of (44/16)/(c/24) and z?
176
Let n = -13/336 - -1543/1344. Find the common denominator of n and -77/2.
64
Let t(w) = w**3 + 2*w**2 + 5*w - 6. Suppose 6*d = 3*d + 9. Let c be t(d). Let h = c - 32. Calculate the least common multiple of 11 and h.
22
Let t = -12235/534 + 7/89. What is the common denominator of t and 95/16*(-12)/(-10)?
24
Suppose -6 = 2*f, 5*d + 2*f - 7 = 7. Find the common denominator of 4*1 - (d + 20/32) and 22/3.
24
Let b(c) be the first derivative of c**4/4 - 7*c**3/3 + 4*c**2 - 2*c - 5. Let i be b(6). Find the common denominator of (-95)/(-4)*4/i and -39/20.
20
Let c be ((-5)/(5/(-8)))/2. Suppose 0 = 2*a - l - 25, -a - c*a - l = -45. What is the lowest common multiple of 14 and a?
70
Suppose 4*j = 5*g - 10*g + 61, -28 = -2*j - 2*g. Calculate the least common multiple of 270 and j.
270
Let u = 139 + -112. Calculate the lowest common multiple of u and 9.
27
Calculate the common denominator of -71/444 and ((-436)/160)/(4/16).
2220
Suppose -4*n + 37 = -35. Calculate the lowest common multiple of 168 and n.
504
Suppose -48*i + 55*i = 21. Suppose -2*g = -2 - 16. What is the smallest common multiple of g and i?
9
Suppose 0 = x - 5*x. Calculate the smallest common multiple of (8/5)/((-4)/(-20)) and 2 + (x - (-2 + 0)).
8
Let u(f) = 6*f**2 - 2*f + 1. What is the smallest common multiple of 164 and u(-1)?
1476
Suppose 0 = -4*b + 27 - 7. Suppose 2*j - b*j - 23 = 4*p, 4*j - 5*p + 10 = 0. Calculate the least common multiple of (6/(-10))/(1/j) and 10.
30
Suppose 2*b = 5*b. Find the common denominator of b + 2 + 67/30 and -82/33.
330
Let d(a) = 16*a. Let j(r) = -32*r + 1. Let q(f) = -5*d(f) - 2*j(f). Calculate the smallest common multiple of 9 and q(-2).
90
Let u b