92 = -4*l + 4*h. Let t = l - m. Find the common denominator of t and 34/9.
99
Suppose -4*a - 484 = 4*d, -2*a = 4*d + 184 + 60. Let v be (-22254)/a - (6/8)/3. Let j = v - 184. What is the common denominator of j and 89/2?
10
Let m(r) = 485*r - 5736. What is the lowest common multiple of 77 and m(12)?
924
Let s(l) = 86*l**2 - 5*l + 5. Let j be s(1). Let n = 334 - j. Suppose 4*c - 2*t - 42 = n, 5*c + 2*t = 376. What is the least common multiple of c and 10?
370
Let n = -373 - -387. Suppose 0 = 4*c + n - 134. What is the least common multiple of (-15)/6*4/(-1) and c?
30
Suppose 40 = -6*x + 2*x. Calculate the common denominator of (2/x)/(1/(-9)) and (-66)/36*(-13156)/15730.
15
Suppose 993 = 5*v - 57. What is the smallest common multiple of v and 252?
1260
Let z = 5571991/54 - 103181. Let x = z + -269/27. What is the common denominator of -43/15 and x?
90
Let f = 5261 - 5241. What is the least common multiple of 3404 and f?
17020
Let l = -5569007 - -111351009/20. Let s = l - -1458. Find the common denominator of s and (-1)/3 + (-305)/(-6).
20
What is the least common multiple of 2*482 - ((6 - -8) + -16) and 115?
4830
Suppose -4*a - 5*m = -8190, -3*a - 4*m + 8052 - 1909 = 0. Calculate the lowest common multiple of 3681 and a.
18405
Let q(p) = 46*p - 327. Suppose h - 41 = -4*c, 2*h = c + 16 - 24. Calculate the lowest common multiple of q(c) and 209.
1463
Let p = 1213 - 775. Suppose 40*t - 162 = p. Calculate the smallest common multiple of t and 51.
255
Suppose -4*i = 2*j + 58, 3*j = 5*i + 8 - 117. Calculate the common denominator of j/(-108) + 7/(-21) and (1 - 0) + 101/12.
36
Suppose 4*w = -21 + 37. Let z(a) = -a**2 - 3*a + 24. What is the least common multiple of z(-3) and w?
24
Let z be (3 - ((-8)/2 - -3)) + 108. Calculate the common denominator of (-18)/28*10*-1 and 72/z*80/(-12).
7
Suppose 5*h + 11*r - 24400 = 6*r, -r + 9764 = 2*h. Calculate the least common multiple of 8 and h.
9768
Let v be (-2 - 33/(-6) - 3)*10. Find the common denominator of 9/203 and v/18*(-15)/((-525)/658).
1827
Let t = -22598 - -22841. What is the lowest common multiple of t and 243?
243
Let m = 2731/3 - 112124/123. Find the common denominator of m and 37/151.
6191
Suppose -4*z = -2*d + 764, -60*d + 62*d - 770 = 6*z. Calculate the least common multiple of 25 and d.
9400
Let o = 19/7649 + -130071/15298. Calculate the common denominator of o and (-49)/10 - (2 - 1).
10
Let d be 12/(-10) - 224/280. What is the common denominator of 27/25 and (d + 4 + -1)/(60/163)?
300
Let r be (-90953)/12540 + (-8)/6. Let t = 3/220 - r. Calculate the common denominator of (-4)/6 - (-692)/(-60) and t.
5
What is the smallest common multiple of 18 and (-492)/((-5)/((-1650)/(-45)))?
32472
Let a be ((-21038)/36 - -1) + -1. Let c be 17709/(-30) + 100/125. Let k = a - c. Calculate the common denominator of -74/15 and k.
45
Suppose 140 = 5*w + 5*l, 160 = 5*w - 20*l + 15*l. Let o(h) = h + 12. Calculate the lowest common multiple of o(-6) and w.
30
Let z = -129647/341604 - 1/9489. What is the common denominator of z and -137/24?
216
Suppose -54 = -3*r - 3*t, 2*t - 96 = -4*r - r. Suppose 2*f + 5 = m - 2*m, -5*m = -5*f - r. Calculate the lowest common multiple of f/4 + 63/4 and 24.
120
Let z(j) = j**3 - 10*j**2 - 11*j - 6. Let m be z(11). Calculate the smallest common multiple of (165/m - -1)*-4 and 38/2 + 75/(-15).
742
Let p = -26405 - -7235037/274. Calculate the common denominator of (-338)/42 + 11/33 and p.
1918
Let a = 1214 + 1877. Let d = -18623/6 + a. What is the common denominator of d and 71/22?
66
Calculate the common denominator of (-11 - 580/(-25))/((-783)/3) and -101/144.
20880
Let k(p) be the first derivative of -3*p**2 + 5*p**2 - 19 + 2*p**2 + 4*p - 3*p**2. What is the least common multiple of k(-1) and 16?
16
What is the smallest common multiple of (4*2)/((-2009)/(-246) + 4*-2) and 102?
816
Let p = 173/5304 + 2/221. What is the common denominator of -2*1 - (-1250)/60 and p?
24
Suppose -80 = -3*u + g, 0 = -4*u - 3*g - 26 + 150. Let v(i) = -i**3 - 6*i**2 - 6*i + 5. Calculate the lowest common multiple of v(-5) and u.
140
Suppose -22*x + 19*x = -4*l - 95, -45 = -x + 4*l. Find the common denominator of 8/5 - (22 - x) and 16/103.
515
Let c(i) = 2*i**2 + 8*i + 4. Suppose 23 = 5*l - 2. Suppose 5*a + o - 65 = 350, l*o - 143 = -2*a. What is the smallest common multiple of c(-5) and a?
84
Let t = 992303 - 1012148957/1020. Find the common denominator of t and 131/3400.
10200
Let y = -67509 - -1012567/15. Let j = -12807 - -192026/15. Find the common denominator of y and j.
15
Let w = -439/3320 + -16/83. Find the common denominator of w and (3/(-16))/(75/(-20)).
40
Suppose 0 = s + 7 - 1. Let x be 142/4 + (-13)/(-2) + s. Calculate the least common multiple of 22 and (x/(-10) - -2)*(-15)/2.
132
Let g(p) = 3*p**2 - 4*p**2 - 516 - 3*p**3 + 2*p**3 - 9*p**2 + 543. Calculate the lowest common multiple of 54 and g(-10).
54
Suppose -3*u = 9, 42 = 3*i - 11*u + 9*u. What is the lowest common multiple of (-812)/(-34) + 435/85 + -5 and i?
24
Calculate the common denominator of 6720/(-540) - (-42)/9 and -37/69.
207
What is the common denominator of (1518/13167)/(1/7) and -16/95?
285
Let h(s) = -7*s - 1. What is the least common multiple of h(-3) and ((-208)/182)/((-363)/770 - (-2)/5)?
80
Suppose 8*f - 25 = 3*f. Let c(o) = 15*o - 41. Let a be c(f). Suppose -5*i = 3*y - 49 - a, -3*y = -4*i + 61. What is the smallest common multiple of 12 and i?
48
Suppose 6*p + 0*p - 9384 = 0. Let f = p - 4738/3. What is the common denominator of -41/37 and f?
111
Let a = 3111 + -1847. Calculate the lowest common multiple of a and 72.
11376
Suppose 51 = -26*r + 28*r + 5*m, -4*r + 4*m = -200. What is the least common multiple of r and 18?
774
Let x(p) = -p**3 - 27*p**2 + 4*p + 98. Let h be x(-27). Find the common denominator of 25/6 and (175/h - 7)/(37/2).
222
What is the lowest common multiple of 8 and (-2 + (-768)/(-15))*(2 + (-11)/(-2))?
2952
Suppose 0 = 9*b - 15*b + 1308. What is the common denominator of 356/b*-1 - 8/(-4) and -37/7?
763
Let i = -160 + 170. Suppose 65 = i*c - 535. What is the lowest common multiple of c and 50?
300
Let v = -3518 - -3674. Calculate the lowest common multiple of v and 429.
1716
Let c be 4/(-10)*70/(-4 - -5). Let w(k) = k**2 + 26*k - 6. What is the smallest common multiple of w(c) and 12?
300
Suppose 4*k - 3*z = -8252, -5*z + 8260 = -7*k + 3*k. Find the common denominator of -67/60 and 3 + (3 - k/(-432)).
540
Suppose 4*n - 5*j - 123 = 0, -5*n = 159*j - 158*j - 103. Calculate the least common multiple of 330 and n.
330
What is the least common multiple of 616 and (12 - (-5 - 25))*(-2 + 17/3)?
616
Let x = -4959 + 5447. What is the lowest common multiple of x and 104?
6344
Let a = -2010007/48 - -41878. Let r = 3/1847 - -278807/55410. What is the common denominator of a and r?
240
Let a = 8747/154 + -57. What is the common denominator of 23/((-1518)/(-36))*(-4958)/1332 and a?
462
Let n = -104805413/340 - -308251. Find the common denominator of n and -25/4.
340
What is the lowest common multiple of 168 and (-112)/((-3)/(-12)*-8)?
168
Let k be (2*(-6)/60)/((-3)/30). Suppose -k*a - 17 = -19. Calculate the smallest common multiple of 32 and a.
32
Let o(c) = -c**2 + 15*c - 22. Let g be o(13). Suppose -g*u + 2*f = -6, 5*f - 3 = -4*u + 8*u. Calculate the least common multiple of u and 15.
15
Suppose 58 = 2*i - 8. Suppose -11 - 197 = -t. Let d = t + -205. What is the least common multiple of i and d?
33
Suppose -i + 154 = 4*d, -3*d = 3*i - 23 - 97. What is the common denominator of 2*1/(-30)*(-13015)/d and ((-3)/12)/((-4)/(-74))?
24
Suppose 7*u + 179 - 501 = 0. Suppose 53*i = u*i + 14. Let n = 2 + 2. Calculate the least common multiple of n and i.
4
Let n = -16574/9 + 1837. Suppose 0 = -5*w + 4*y - 3431, -3*w - 3*y = -8*w - 3432. Find the common denominator of (4 + w/144)/(3/(-6)) and n.
72
Let u(i) = i**3 + i**2 - 9*i - 12. What is the lowest common multiple of 240 and u(-2)?
240
Let m = 104637416/1085 + -96440. What is the common denominator of m and -12/155?
1085
Suppose -5*g + 3*f = 1231427, -3*f = f + 4. Let i = g + 65019367/264. Find the common denominator of i and 87/28.
1848
Calculate the common denominator of 2296/(-56)*(-4)/2956 and 76/3.
2217
Suppose 1013 = 10*d - 267. Suppose -d = -22*f + 6*f. Supp