e least common multiple of 4 and 4/8 + j/4.
4
Let f = -211/970 + -8/97. Let z be ((-12)/10)/((-2)/15). Find the common denominator of (-40)/z - (-2)/3 and f.
90
Let v = 161 + -112. Let t = v - 39. What is the lowest common multiple of 37 and t?
370
What is the common denominator of 27/14 and (11 - 5318/1036) + 1*-6?
518
Find the common denominator of (-386)/20 - (-106 - -99) and 107/50.
50
Suppose 0 = -5*v + l - 16, -3*v + 2*v - 2 = l. What is the common denominator of 5/18 and 1*(v + 4) + (-39)/(-14)?
126
Let u = -16 + 27. Find the common denominator of (u/132)/(6/(-208)) and 127/6.
18
Let t(h) = -h**2 - 23*h + 32. What is the lowest common multiple of 108 and t(-19)?
108
Suppose 3*k + 157 = 5*b + 34, 1 = -k. Suppose -2*j + b = -q, 61 = 7*j - 2*j - 3*q. Let l = -47 - -55. What is the least common multiple of l and j?
88
Let c = -1577 - -1600. What is the least common multiple of c and (11/(-3))/((-1)/3)?
253
Let w = -4494/13 + 45993/130. Let m be 259/1340*(-12 - 9). Let r = 53/67 - m. Calculate the common denominator of r and w.
20
Let z(f) = f**2 + 8*f + 15. Let c be z(-6). Suppose -28 = -c*l + 2. What is the smallest common multiple of l and 2?
10
Suppose q - 31*q = -660. Suppose 5*v - 5*x = 8 - 3, -2*x + 23 = 3*v. Suppose 1 = -2*m + v. What is the smallest common multiple of m and q?
22
Suppose 5*f + 4*j - 4 - 7 = 0, 4*j + 16 = 4*f. What is the common denominator of 166/f*9/48 and ((-2)/(-22))/((-5)/125)?
88
Let y(h) be the third derivative of h**5/20 + h**4/8 - h**3/2 + 28*h**2. Calculate the smallest common multiple of y(-2) and 21.
21
What is the least common multiple of (-236)/(-3) - (15 + (-833)/51) and 176?
880
Suppose -4*r = 3*j - 24, -39*r + 36 = 2*j - 43*r. What is the lowest common multiple of 100 and j?
300
Let l = 1/1794 + 8569/4186. Let u = -330 - -1253/4. Find the common denominator of l and u.
84
What is the common denominator of 147/(-2)*(-39)/91 and -19/58?
58
Let d = -457983/44 + 10407. What is the common denominator of d and -187/180?
1980
What is the common denominator of -14*(6 - 573/90) and -38/3?
15
Let q(d) = -d**3 - 14*d**2 + 2*d + 34. Let v be -2 - (-6 - -5)*-1*12. What is the lowest common multiple of 6 and q(v)?
6
Let k = -7844 + 39543/5. Let m = 2053/30 - k. What is the common denominator of 8/20 - 1 - 1964/360 and m?
18
Let m = 591 - -299. What is the lowest common multiple of 6 and m?
2670
Suppose -3*v = -2*v - 8. Let u(d) be the second derivative of -d**5/20 - d**4/6 - d**3/3 - d. What is the lowest common multiple of u(-2) and v?
8
Find the common denominator of (284/36)/(5/3) and (-2)/(18/(-3)) + 484/(-72).
90
Let s = 662 + -6577/10. Let c be (2/9)/(4/6807). Let j = -1096/3 + c. What is the common denominator of j and s?
30
Let h = 1/34 - 43/306. Let j = -26381825/1792 + 14722. Let t = j - 7935/1792. Calculate the common denominator of h and t.
63
Let z = 5048 - 166571/33. What is the common denominator of z and 34/375?
4125
What is the smallest common multiple of (9/(-18))/((3/(-120))/1) and 1?
20
Suppose 2*v + 25 = -5*r, -2*r - 3*v - 10 = -4*v. Let n = 4 - r. Let l = 3 + n. What is the lowest common multiple of 12 and l?
12
Suppose 5*y + k - 157 - 170 = 0, k + 193 = 3*y. Calculate the least common multiple of y and 299.
1495
Let k(n) = -n**2 + 7*n + 16. Let a be k(9). Calculate the smallest common multiple of 16 and (-12)/(-4)*(52/6 + a).
80
Find the common denominator of 71/90 and -15*(-26)/(-65) + 21/(-10).
90
Suppose 26*g = -55*g + 2430. Calculate the lowest common multiple of (3/2)/((-3)/(-24)) and g.
60
Let z = -353/4 - -84. Let n = -11/20 + 3/10. Find the common denominator of n and z.
4
Let q(x) = x**3 + 5*x**2 + 4. Let l = 60 - 65. What is the smallest common multiple of 2 + 4/6*3 and q(l)?
4
Suppose 5*k = -4*r + 86 + 3, 5*r + 2*k = 90. Calculate the least common multiple of 112 and r.
112
Let g = 10 - 6. Suppose 0 = d + g - 6. Suppose 17 + 3 = d*y. Calculate the least common multiple of y and 20.
20
Let b(s) = -s**3 - 6*s**2 + 2*s + 5. Let c be b(-3). Calculate the common denominator of 83/18 and ((-2)/(-78))/(c/(-1218)).
234
Let p(a) = -a**2 - 10*a - 5. Let l be p(-7). Let r = l + -11. Suppose r*w - 5 = -2*i - 0*i, -3*i = w - 1. Calculate the lowest common multiple of w and 8.
8
Let r = 16073/16 - 1005. Let w = -27/1571 - -81849/100544. Find the common denominator of w and r.
64
Suppose -115*a - 176 = -123*a. Calculate the lowest common multiple of 230 and a.
2530
Suppose -5 = -x + 5. Let f(u) = u + 7. What is the smallest common multiple of x and f(-5)?
10
Let b be (-344)/6*(-9)/6. Let x = 4157 - 91479/22. Find the common denominator of x and b/8*(-7 + 6).
44
Let m be 6*(666/12 + -3). What is the common denominator of (47 + 0)*(1 + (-308)/m) and -79/10?
90
Calculate the common denominator of 97/42 and ((-50)/84)/1*270/(-840).
1176
Suppose 3*h - 6*c = 587 - 86, -2*c - 2 = 0. What is the lowest common multiple of h and 165?
165
Suppose n = -4*s + 6*n - 4, -5*s = n + 34. What is the least common multiple of 22 and (7/((-63)/(-12)) + -2)*s?
44
Let n = -318726787/21672 + 132362/9. Calculate the common denominator of 39/8 and n.
2408
Calculate the lowest common multiple of 45 and (-675)/6*3*28/(-63).
450
Suppose 4*t + 3*y = 13, 3*t = -t + 3*y + 19. What is the common denominator of (-30)/t*(-328)/(-200) and -34/9?
90
Let l = -8 + 30. Find the common denominator of -53/11 and (-385)/l*26/(-20).
44
Let j = 5 + -8. What is the smallest common multiple of -2 - ((-2 - 0) + j) - -11 and 18?
126
Let d = 6517 + -2961. Find the common denominator of 83/114 and d/24*(-2)/42.
342
Calculate the common denominator of 26/(40/6 - 24/(-6)) and 43/240.
240
Let z(y) = 3*y**2 + 6*y - 44. Calculate the least common multiple of 9 and z(-16).
5652
Suppose b + 3 = 2*u, -3*b + 4*b = -2*u + 5. Suppose 0 = z - 4*z. Suppose z = i - u*i + 16. What is the lowest common multiple of i and 4?
16
Let p = 193 + -163. Calculate the least common multiple of 486 and p.
2430
Suppose 4*z + 8 = 2*n - 0*z, -4*n - 2*z - 4 = 0. Suppose n = f - 2*f + 2. Let m = -3144 - -3154. What is the smallest common multiple of m and f?
10
Suppose -8015 + 1751 = -36*r. What is the lowest common multiple of r and 10?
870
Let r be (4 + (-212)/3)*-36. Let w = -16838/7 + r. Calculate the common denominator of w and -48.
7
What is the common denominator of 26/9 and 14/462*(-147)/(-2)?
198
Suppose -13 = -f - 5*g, 3*f - 124 = 5*g - 3*g. Calculate the smallest common multiple of 10 and f.
190
Let y be -2*(2 - (-18)/(-4)). What is the common denominator of 2/y - 654/135 and 1474/(-66) + (2 + 2)/1?
9
What is the common denominator of 17/22 and 1452/(-1890) - 1*(-4)/8?
6930
Suppose 5*m + 4*b - 24 = -6, -10 = -5*b. Let d be 1/7 - 407/7. Let i = d + 64. What is the least common multiple of m and i?
6
Let l = 216 + -205. Let c(i) = -i**3 + 7*i**2 - 8*i + 7. Let u be c(6). Let a = u + 8. What is the smallest common multiple of a and l?
33
Calculate the common denominator of 4/(-5) - 15488/9240 and (-447)/72*4/(-9).
378
Let x = 3715/42 + -660/7. What is the common denominator of x and 87/4?
12
Calculate the common denominator of 83/60 and (2135/(-5250))/(6/(-15)).
60
Let h be ((-1986)/(-90))/((-2)/9). Let c = -1211/5 + h. Let l = c - -2177/6. Find the common denominator of l and -18/7.
21
Suppose -12*z = -15*z + 33. What is the smallest common multiple of z and 93/9 + 2/3?
11
Let j(m) = m**2 - 32*m + 70. What is the smallest common multiple of j(30) and 124?
620
Let c = 1446 + -11479/8. What is the common denominator of c and 85/36?
72
Suppose -66*l + 3702 = -2304. What is the least common multiple of l and 14?
182
Let m(n) = n + 2. Let s be m(-14). What is the least common multiple of (s/(-8))/((-2)/(-12)) and 2/4 + (-30)/(-12)?
9
Let r(y) = -y**3 - 6*y**2 - y + 4. Let j(z) = 2*z + 10. Let m be j(-8). What is the lowest common multiple of r(m) and 8?
40
Let t(y) = 2*y**2 - 2*y. Let j be t(3). Suppose -o - p = -4, -o = -3*p + 8*p + j. Suppose -v + 4 + o = 0. What is the smallest common multiple of v and 16?
48
Suppose -k + 2*j - 2 = -6, 3*k = -5*j + 45. Let s = -34981/5496 + -7/687. Calculate the common denominator of 37/18*15/k and s.
24
What is the common denominator of (-3)/12 + (-21)/9 and 358/156 - (-12)/(-36)?
156
Suppose 5*t + 19574 = 4*v, 2*t + 8116 = -5*v +