79/10120473 - 1103/99. Let a = x + 123899114/511135. Let o = a + -53103/220. Calculate the common denominator of -149/12 and o.
132
Let t be (-1)/3 - ((-16)/(-6) + -1). Let w(d) = -6*d + 6. Calculate the lowest common multiple of w(t) and 6.
18
Calculate the common denominator of 8/9 and (-1056)/880*(-5)/(-4).
18
Suppose 0 = -2*j - 3*v + 85, 2*j + 4*v - 80 = -0*v. Suppose -8 = 2*g, 3*g + 116 = 2*x - 2*g. What is the least common multiple of j and x?
1200
Suppose -21*f + 18*f - 3*v + 3 = 0, 4*v + 8 = -2*f. What is the lowest common multiple of 47112 and f?
47112
Let w(u) = -29*u + 1. Let c = -11351 - -11355. Calculate the smallest common multiple of w(-1) and c.
60
Let i = 48969/494 - 1263/13. Calculate the common denominator of -31/1112 and i.
21128
Let y(m) = -4*m - 2. Let f be y(1). What is the common denominator of ((-2)/10)/((-2)/15) and (39/9)/((f/(-7))/(-3))?
6
Find the common denominator of 76/915 and ((-1162)/(-693))/(366/9).
10065
Let c = -48/191 - 7351/1910. What is the common denominator of c and 35/2726?
13630
Suppose 4*d = 3*s - 2536, 1286 = -3*d + 3*s - 616. Find the common denominator of d/160 + -15*(-7)/35 and -63/16.
80
Let f be -4 - (8/(-4) + 2). Let i be 0*1/f + -705. Calculate the common denominator of -1 + i/20*(-2)/(-33) and 61/18.
198
Let k = 671/17 + -131848/3315. What is the common denominator of 50/3 and k?
195
Suppose -4*x = 2*u + 34, 4 = -2*u + 6*u. Let r(s) = 61*s**2 - 3*s - 6. Let f be r(x). What is the common denominator of f/504 + 4/7 and 83/16?
48
Let h = 17285 - 1037227/60. What is the common denominator of h and ((-46)/9)/((-9)/(108/200))?
300
Let a(s) = 49 - 109 + 58 - 3*s. Let t be a(-1). Suppose 32 = 3*v + 3*w - t, -53 = -5*v - 4*w. What is the lowest common multiple of v and 4?
36
Let s = 62265 + -371519/6. Let u = s + -344. Let d = -18 + u. Calculate the common denominator of d and -46/9.
18
Let t = 229 - 224. What is the smallest common multiple of 10 and (-6)/(t/(50/(-15))) + 258?
1310
Suppose 29*w - 232 = 203. What is the smallest common multiple of 54 and 167/4 + w/60?
378
Let i = 161 - 160. Calculate the common denominator of i - (-149)/(-40) - -3*1 and 59/10.
40
Calculate the least common multiple of (2835/(-70))/((-1)/52) and 18.
2106
Let b = -552239961/1180 + 468000. Find the common denominator of b and 24/55.
12980
Let z = -1537 + 38438/25. Let d = -81/50 + z. Calculate the common denominator of 103/24 and d.
120
Let c = -57119221/2230 + 25614. Calculate the common denominator of -71/4460 and c.
4460
Let n = 4384 + -1408. What is the common denominator of 77/30 and (3 - 3) + (n/210)/8?
210
Let r = -1 + -12. Let a(g) = 6 - 3*g**3 + 12 + 3*g**3 - g**3 - 13*g**2. Calculate the lowest common multiple of a(r) and 8.
72
Suppose 0 = -6*q - 4*f - 197 + 247, -3*f + 20 = 2*q. Let h(c) = -c + 5. What is the least common multiple of q and h(4)?
7
Calculate the smallest common multiple of 65 and (-126)/(-210)*(-2 + 34/4*2).
585
Let h = 271483/1160 - 1873/8. Calculate the common denominator of h and -61/40.
1160
What is the common denominator of (12/(-66) - (-13326)/88)*(-408)/5100 and (-23)/5*10/36?
90
Let a = -36023/143388 + -25/1707. Calculate the common denominator of a and -19/840.
2520
Suppose -167*q - 494 - 18 = -295*q. What is the smallest common multiple of q and 0 + 33 - 4/4?
32
Let w be (170/4)/(16/32). Suppose 0 = -x - 2*x + j + w, 0 = 2*x + 5*j - 85. What is the least common multiple of 45 and x?
90
Let b = 14 - 22. Let j(p) = p**2 + 9*p - 1. Let m be j(b). Let o = 23 + m. Calculate the smallest common multiple of 38 and o.
266
Let l be ((-7)/(68 + -5))/(3/4323). Let c = l - -161. Calculate the common denominator of c and (-126)/22*(-4)/(-12).
99
Let o be 2/8 - 51/12. What is the common denominator of 1 + 1 + (626/(-72) - o) and -68/15?
180
Let k(p) = -p**3 - 6*p**2 - 9*p - 65. Calculate the lowest common multiple of 3 and k(-8).
135
Let j = 3861/4 + -988. Find the common denominator of 91/1570 and j.
3140
Let q(n) = -n. Let b(i) = -5*i - 5. Let y(w) = 6*w + 12. Let h be y(-3). Let x(k) = h*q(k) + b(k). Calculate the least common multiple of x(16) and 8.
88
Let v be (-4 - -3) + 3 + (1 - -4). Suppose v*c - 80 = -13*c. What is the lowest common multiple of c and 34?
68
Let i = -10627/7 + 14782059/9737. Let s = i + -81733/33384. Let m = 69/890 + 2/89. Find the common denominator of m and s.
120
Calculate the lowest common multiple of 375 and (-12)/(-16) + (495/20)/((-39)/(-5317)).
3375
What is the common denominator of (-249)/(-2)*(-142)/34932 and 69/20?
820
Let u = -1070316 - -4074693038/3807. Find the common denominator of u and 26/33.
41877
Let z(u) = 2*u**3 + 33*u**2 - 123*u - 28. What is the least common multiple of z(4) and 51?
408
Let t be (-15)/10*(-6)/(-9). Find the common denominator of (26/(-4))/(t/2) and ((-82)/(-4))/((-4)/((-48)/42)).
7
Suppose -8*q + 7 - 63 = -12*q. Calculate the least common multiple of 592 and q.
4144
Let m(p) = 2*p**2 + 11*p - 4. Let d be m(-6). Find the common denominator of ((-77)/(-28) - d) + 11/(-60) and 95/18.
90
What is the common denominator of 65/436 and ((-3)/10)/(654/290*5)?
2180
Let o = -22 + 110. Let h = 10 + -3. Suppose 5*r - o = -2*i, -h*r + 2*r = 3*i - 87. What is the lowest common multiple of r and 20?
180
Suppose -2*a + 33 = 5*f, -a + 4*a - 5*f = 112. Let g(m) = 2*m**2 + 13*m + 4. Let p be g(-6). Find the common denominator of p*2 + (-910)/(-154) and a.
11
Let l = -438 + 429. Let b(g) = -2*g**2 - 20*g + 2. Calculate the smallest common multiple of 10 and b(l).
20
Let d = -10557/1255 - -3/251. Let a be (2 - (-2229)/(-63))*-1. Let l = -80/3 + a. Find the common denominator of l and d.
35
Let x = -9 - -11. Suppose 13 + 3 = 4*b, 2*j + x*b - 24 = 0. What is the smallest common multiple of j and 10?
40
What is the smallest common multiple of (-1)/(3/(-6) + 0) and (5/(-3))/5 + 8950/75 + 31?
150
Suppose -32 = -170*b + 154*b. Suppose -b*f = 9*f - 99. Calculate the smallest common multiple of f and (-236)/(-12) - (-2)/6.
180
Let z be 134 + (32/48 - 5/3). Let r = -127 + z. Suppose 4*w + 2*p - 62 = 0, 2*w - 10*p - 34 = -8*p. Calculate the least common multiple of r and w.
48
What is the smallest common multiple of 9740 and (-217)/(-868) + 22/8?
29220
Suppose 2*k = 2*z - 4, -5*k - 5*z - 10 = -2*z. Let v be k + -1 + 521523/51630. Let g = v + -2/1721. What is the common denominator of g and 101/22?
110
Let w = -15 - -18. Let t(o) = -2*o**2 + 3*o - 2. Let j be t(w). Find the common denominator of (j + 10)/((-5)/47) and 33/4.
20
Let l be 110/(-20) - ((-1)/2 - 0). Calculate the least common multiple of 12*2/(0 - 10/l) and 14.
84
Suppose q = -m - 11, 0 = m + 4*q + 31 - 8. Calculate the least common multiple of -7*(-4 + (-8)/m) and 20.
20
Let p = -1600 - -1620. Let o be ((-24)/15)/((-2)/15). Suppose h + 4*y - 2*y = o, -y + 24 = 5*h. What is the smallest common multiple of h and p?
20
What is the common denominator of -113/112 and (12/(-480)*-388)/(0 + (-32)/10)?
224
Let n = 4237 - 3871. What is the lowest common multiple of 671 and n?
4026
Suppose 108 = 420*o - 411*o. Let j(s) = -s - 9. Calculate the lowest common multiple of j(-12) and o.
12
Let q be 28*(104/(-28) + 4). Let z(n) = 2 + q*n - 27 - 4*n - n. Calculate the smallest common multiple of z(10) and 14.
70
Suppose -279 + 479 = 5*l - 5*i, -2*l = -i - 72. Calculate the least common multiple of 256 and l.
256
Let u(f) = -f + 4. Let t be u(0). Suppose 7*v - 30 = t*v. Suppose -7*z + 4 = -v. Calculate the least common multiple of 22 and z.
22
Let j = 150015/22 - 6823. Let u be -5 - (69/18)/(7205/(-12165)). Let w = 44/131 - u. What is the common denominator of j and w?
22
Let m(x) = -11*x**2 - 2 + 22*x + 10*x + 7 - 23*x. Let d be m(-13). Find the common denominator of -101/20 and (d/84)/9 - -1.
140
Let k be 1659/158 + (2/4)/(-1). Calculate the common denominator of (2*(-2)/k)/(44/(-295)) and -75/844.
9284
What is the common denominator of (-760)/15*(6/2)/18 and (-148)/168*-3*2/6?
126
Suppose 12 = 4*f, -94 = 3*c - f - 199. Suppose 2 = 2*x - 4. What is the lowest common multiple of c and x?
36
Suppose 0 = 2*y - 2 - 6. What is the least common multiple of (68/(-11) - (-4)/22)/(-45 - (-3036)/69) and y?
12
Let b be ((-12)/(-8))/(12/(-136)). Let d = b + 31. Let p = -9 - -21. Calculate the smallest common multiple of d a