t o be (-4901)/91 - (-2)/(-14). Find the common denominator of h and (-21)/o*(-164)/(-28).
36
Let v be ((-4)/(-5))/((-4)/(-10)). Suppose -3*b + 5 = v*r, -4*r - b + 15 = -2*r. Let j = -109 + 120. What is the least common multiple of r and j?
110
Let l(v) = 69*v - 372. Calculate the smallest common multiple of 6 and l(14).
594
Suppose -m = -4*d + 8 + 95, 2*d - m - 49 = 0. What is the lowest common multiple of (d - (-1 - -4))/(3/8) and 22?
704
Let c be (6/(-9))/(0 - (-29540)/(-12)). Let y = 117918/893585 + c. What is the common denominator of y and -2/5?
605
Suppose 3*p = -4*s - 3, -2*p + 3*s + 18 = p. Suppose -p*b + 57 = -c, 0 = -3*b - 0*c + 4*c + 48. Find the common denominator of 198/b*(-3)/6 and 69/14.
140
Suppose i + 2*y - 8 = 0, 4*i - 14 = -2*y - 0*y. What is the common denominator of 41/5 and (i/(-10))/((-66)/(-5555))?
30
Let u be (-3 + (-8)/(-2))*(1 + 4). Suppose -5*y - u*c = 0, 5*y = 4*c - 10 + 37. What is the least common multiple of y and 33?
33
Let w = -10429586/249 - -41886. What is the common denominator of w and 67/3?
249
Let x be (-7353)/(-70) - (-4)/(-28). Let g be 1408/20 - 1 - -2. Let s = g - x. Calculate the common denominator of -37/4 and s.
4
Let k = 38 + -28. Let q(g) = 4*g**2 + 3*g - 2. Let c be q(-3). Suppose 4*v - 39 - c = 0. What is the smallest common multiple of k and v?
80
Let y(z) = z + 2. Let j = -1695 - -1696. Calculate the lowest common multiple of j and y(5).
7
Let f = 12 - 8. Suppose -8*l + 10 + 6 = 0. Calculate the smallest common multiple of l and f.
4
Let g = 1546272731520691439/501942 + -3080580488423. Let b = 2/4921 + g. Calculate the common denominator of b and 17/14.
714
Let v(b) = b**2 - 10*b - 12. Suppose -3*k + 3*i + 3 = 0, 7*k = 5*k + 4*i - 8. What is the smallest common multiple of k and v(12)?
12
Let c(n) = -n + 1. Let a be c(3). Let f be a/4 - 3954/8. Let b = f - -474. Calculate the common denominator of b and 53/22.
44
Let q(k) = -k**3 - 2*k**2 - 2*k + 1. Suppose 0 = -6*c + 10 + 20. Suppose 5*j - 1 = 2*p - c*p, 4*p + 8 = -2*j. What is the lowest common multiple of q(p) and 20?
80
Let c = 2133 - 1845. What is the smallest common multiple of c and 24?
288
Calculate the common denominator of 83/2 and (-2582)/1212 - (-448)/192.
202
Let p(f) = -11*f - 29. Let m be p(-6). Let t = m - 15. Calculate the smallest common multiple of 46 and t.
506
Let c = -59 - -1075/18. What is the common denominator of 109/546 and c?
1638
Let d = 122 + -120. Calculate the least common multiple of 90 and d.
90
Let j = -1/8159 + 481390/73431. Find the common denominator of j and 290/(-4)*(-12)/225.
45
Let d(f) = -f**2 - 10*f + 1. Let y be d(-10). Calculate the common denominator of -70/9 and (1*(y - 14))/(11 - 5).
18
Let s = 1520/71 + -298727/13632. What is the common denominator of s and -71/360?
2880
Calculate the smallest common multiple of 102 and -2 + 7 + 113 + -49.
2346
Suppose -8 - 17 = -5*d. Find the common denominator of (-2)/d + 352/(-45) and 19/(969/(-62)) + (-1)/(-3).
153
Let z be (-3631)/(-77) + (-15)/35. Let l = 2897407/62007 - z. Let s = l + 182269/33822. Calculate the common denominator of 71/10 and s.
90
Suppose 6 = 4*j + 2. Suppose -4*z + 2*s = 3 - 7, 3 = 3*z - 5*s. Calculate the least common multiple of z and j.
1
Let v = 763 - 794. Let i be -7 - (-2)/(-1)*1. Calculate the common denominator of 3/(-4)*114/i and v.
2
Find the common denominator of -7 + 9 + -6 + (-240)/(-99) and -5/33.
33
Suppose -200 = -34*b + 888. Calculate the smallest common multiple of 46 and b.
736
Suppose 32 = c - 4*m, -m = -4*c + 45 + 53. Calculate the smallest common multiple of c/(-10)*20/(-6) and (-3*8)/((-3)/2).
16
Let v = 2/46777 + -1730809/1403310. What is the common denominator of 1/30 and v?
30
Let u = 913/518 - 15/37. Find the common denominator of u and -95/504.
504
Let f = 1694 - 15176/9. Let u = -33 + 34. What is the common denominator of f and ((-35)/(-15) - u)*(-113)/(-8)?
18
Let v = -114730 - -60118475/524. What is the common denominator of 17/18 and v?
4716
Calculate the least common multiple of 3 and (36 + -2)/(4 - 3).
102
Let c = 7051/84 + -84. Calculate the common denominator of c and -167/126.
252
Let f(s) = s**3 - s**2 + 2*s. Let b be f(3). Calculate the common denominator of (-87)/b - (1 - -1 - 4) and -101/10.
40
Let c = 2/61 - 85/732. What is the common denominator of 59/6 and c?
12
Let c = 193713/20 + -9681. Let d = 45/4 + -489/40. Find the common denominator of d and c.
40
Let y = 159 - 10. Calculate the lowest common multiple of y and 11.
1639
Let o = 33629 + -3329242/99. Calculate the common denominator of o and 83/54.
594
Suppose -4*i = 2*u, 3*i + 35 = -u + 3*u. Suppose 2*t + 5*y = -2, 4*y - 6*y - 16 = -3*t. Calculate the lowest common multiple of u and t.
20
Suppose -7 + 1 = -2*w. Find the common denominator of 52/9 and (5 - 0) + (-2 - w).
9
Suppose -v + 4*s = -20, -4*v - 7*s + 40 = -3*s. Let u(i) = 6 - 2 + 4*i**2 + 6*i - i. Calculate the least common multiple of v and u(-2).
60
Let w(j) = 2*j**2 + 5*j + 23. What is the least common multiple of w(-6) and 2?
130
Let z(p) = p**3 + p**2 - 1. Let l be 0 - (1 + -1) - 1. Let t be z(l). Calculate the common denominator of 28/5 and (-6)/(-88) - t/(-4).
55
Let u(w) = w**3 + 19*w**2 + 19*w + 38. What is the smallest common multiple of 22 and u(-18)?
220
Let m = 10249676/261 + -39271. Calculate the common denominator of 77/180 and m.
5220
Let y be (11/25)/((-18)/(-224505)). Let j = 5483 - y. Let u = 3188 - 31989/10. Find the common denominator of j and u.
10
What is the common denominator of 8/5 and (7 + (-33)/5)*(-119)/(-16)?
40
Let b = 40 - 28. Let y be (-60)/75 - 24/(-5). Suppose -9 = y*n - 73. Calculate the lowest common multiple of n and b.
48
Suppose -c = 4*j + 12, -c + 6 = j - 3*j. Let o(v) = -v**3 + v**2 - v + 1. Let r = 21 - 10. Calculate the smallest common multiple of r and o(c).
11
Let a = 3147 + -2715. What is the least common multiple of 76 and a?
8208
Let x(a) = -3*a + 5 - a**3 + 0 - 5*a**2 + 0*a**2. Suppose 3*t = -3 + 27. What is the least common multiple of t and x(-4)?
8
Suppose 0 = 15*r - 17*r + 2. Calculate the least common multiple of r and 8.
8
Let z(u) = u**2 - 3*u - 6. Let p be z(-6). Calculate the common denominator of -1/2 and (2/(-7))/((p/45)/(-2)).
28
Let m(u) = -2*u - 6. Suppose 6*a - 4*a - 14 = 3*o, 5*o + 19 = -a. Let f be m(o). What is the common denominator of (f/240)/(34/(-10285)) and -73/20?
240
Let j be -56*3/((-66)/(-8)). Let r = 2353/88 + j. Find the common denominator of 8/(-12) + (-245)/(-10) and r.
24
Calculate the common denominator of (21/3)/((-13)/2 - -2) and -65/3.
9
What is the common denominator of (-1428)/24 - (-63)/7 and ((-4)/10)/((-1)/70)?
2
Suppose 0 = 4*z + g - 223, -4*z - 2*g + 93 = -129. Calculate the lowest common multiple of 7 and z.
56
Let i(p) be the first derivative of 9*p**2/2 - 4. Calculate the lowest common multiple of 0 - 2 - 1*-11 and i(1).
9
Suppose 1 = -2*p + 5. Suppose 4*o = 0, 38 = 4*x - p*o - 2. Calculate the least common multiple of -2*(0 + 2/(-4)) and x.
10
Suppose 5*v + 5 - 15 = 0. Suppose 4 = -v*j + 12. What is the lowest common multiple of (-3*2/(-9))/(6/99) and j?
44
Let d be 125/35 - (-3)/7. Find the common denominator of (-8)/12 + 292/72 and 65/d + (-7 - -10).
36
Let c = 32/1737 - 70699/34740. What is the common denominator of -1/30 and c?
60
Let m(n) = n**3 + 11*n**2 - 15*n - 34. Let h be m(-12). Suppose h*v + 12*v - 420 = 0. Calculate the lowest common multiple of 27 and v.
270
Let t = 15/44 + 247/66. What is the common denominator of t and 53/66?
132
Let d(v) = v**3 + 10*v**2 + 10. Let m be d(-10). Let l = m - 5. Calculate the lowest common multiple of l and 4.
20
Suppose 2*q = 9 - 3. Suppose -287 = q*a + 694. Find the common denominator of 57/7 and 2/(-7) + a/105.
35
Let b = 480437/115 - 4178. Calculate the common denominator of b and 13/50.
1150
Let n = -4149/20 + 208. Let x = 138 - 113. What is the common denominator of (-690)/36*(-5)/x and n?
60
Let l = -30412/9 - -3385. Let s = 1903/72 - 167/8. Calculate the common denominator of l and s.
9
Suppose 5*f + 20 = 5*x + 5, -2*f - 8 = -3*x. Find the common denominator of (-11 - (-1 - f))*(-18)/(-16) and 117/20.
40
Let c = 7 - -21. Suppose -499 = 5*j - 659. Calculate the least common multiple of j and c.
224
Suppose 0 = -5*v + 5*c - 