Find the common denominator of -23/8692 and d.
52152
Let d(y) = 3*y**2 + 18*y - 15. Let b be d(-15). What is the common denominator of -11/136 and (-3*1/15)/((-16)/b)?
136
Let f = -6833/90 - -361/5. Let p(m) = -m**3 - 4*m**2 + 3*m + 14. Let b be p(-4). What is the common denominator of f and ((-71)/2130)/(2*b/124)?
90
Let g = -201 + 96. Calculate the smallest common multiple of 2 and 5/2*(-7)/(g/774).
258
Suppose 0 = u - 8 - 36. Let b = 41303 + -41257. Calculate the least common multiple of u and b.
1012
Suppose 3*j - 11*j = -64. Suppose -50*m + j = -48*m. Suppose 5*g + 2*b = g + 28, -5*g + 35 = -2*b. What is the lowest common multiple of g and m?
28
Let s = -1055001167/750 - -1406668. Calculate the common denominator of s and -49/1200.
6000
Suppose 0 = 5*p + 839 - 104. What is the lowest common multiple of (-4)/14 - 7980/p and 10?
270
Let v = -773293 + 6169213/8. Let h = 2150 + v. Calculate the common denominator of h and 123/(-7)*2/(-72).
168
Let x = -63090 + 112490. Let v = -4248349/86 + x. What is the common denominator of -25/14 and v?
602
Let g = 36833/6 + -6137. Calculate the common denominator of g and -59/1836.
1836
Let x(a) = 51*a + 1939. Calculate the least common multiple of 123 and x(-38).
123
Let p(z) = 6*z + z**3 - 15 + 5 + 11 - 5*z**2. Let q be p(4). Suppose 0 = -q*o + 5*o + 8. What is the lowest common multiple of o and 2?
2
Let b(s) = s**2 - s + 14. Calculate the least common multiple of b(5) and 7.
238
Suppose -7*f + 17 = 73. Let y be (6 - 125/20) + (-42)/f. Suppose -x + 1 = 0, 0*x + 21 = y*v + x. What is the lowest common multiple of 1 and v?
4
What is the common denominator of 11/58 and 90/10 + (-1299)/90?
870
What is the common denominator of ((-28302)/(-2120))/(-2 + 3 + 2) and 91/440?
440
Let m = -13499/2205 + -5/441. Let v = 11/334 + -17999/9018. Find the common denominator of m and v.
135
Let j(i) = -i**3 + 9*i**2 - 15*i + 1. Let v be j(7). Let y be (-6)/3*(-4 - v). Calculate the least common multiple of 15 and 72/(-42)*14/y*1.
30
Find the common denominator of 2692/(-1692)*1 - (-4)/(-36)*-15 and 127/470.
4230
Suppose 7*k - 69732693 = 34097264. Let v = k - 341090629/23. Let j = v + -2823. Find the common denominator of j and 61/5.
115
Suppose 3 = o, 2*o - 144 = -5*a - o. Let l = -322 - -367. What is the lowest common multiple of a and l?
135
Let t = 5385875/9588618 - -2/59189. Find the common denominator of -49/1620 and t.
1620
Suppose 5*r = -x - 52 + 75, 6 = -3*r. Let z(g) = g**2 + 22*g - 2. Calculate the lowest common multiple of z(4) and x.
1122
Let n = 479299/18 + -26635. Suppose -2*x = -4*d + 1690 + 1518, 5*x - d = -8011. Let s = 4859/3 + x. Calculate the common denominator of s and n.
18
Let l = 38189/8 + -4767. Let j(w) = -2*w**3 + 8*w**2 + 9*w + 9. Let v be j(-5). What is the common denominator of (-2)/(-3)*v/(-60) and l?
40
Let t = -8152/7 + 619499/532. Find the common denominator of -143/70 and t.
2660
Suppose -1340 = -206*n + 211*n. Let b = -250 - n. Calculate the least common multiple of b and 40.
360
Let m(x) = -16*x**2 + 4*x + 2. Let q be m(-2). Find the common denominator of (-2)/4 + (-75)/33 and (-3250)/104*(0 + 12/q).
154
Let k = -27369 + 27775. What is the smallest common multiple of 638 and k?
4466
Calculate the common denominator of 1945/(-408) - (-23)/391 and -7/16.
48
Suppose 110*b = 109*b + 18. Let o = 14 + -7. Suppose i - 30 = -4*v, 2*i - 3*v - 56 = -o*v. What is the smallest common multiple of b and i?
234
Let k(l) = l**3 - 9*l**2 + l - 6. Suppose -4*x - 25 = -i, -3*i - 5*x = i - 16. Calculate the smallest common multiple of k(i) and 200*(-18)/(-108) + (-2)/6.
33
Calculate the smallest common multiple of (-5 + 18 + -4)*4510/123 and 957.
9570
Let a(k) = 1149*k - 9164. Let j(y) = -2*y**3 - 3*y**2 + 5*y + 4. What is the least common multiple of j(-5) and a(8)?
308
Let b = 263831/2280 + -1738/15. Find the common denominator of b and -23/4.
152
Let q(k) = -6 - k**3 + 1588*k**2 - 8*k - 1598*k**2 - 1. Let p be q(-9). Calculate the common denominator of (p/104 + (-2490)/208)*2 and -79/36.
36
Suppose -6*z + 5*a = -2*z - 163, 5*a + 205 = 5*z. What is the common denominator of 6/8*(-244)/(-24) and (-24)/84 - (4105/z)/5?
24
Let k be 1*(-5 - -1) + -1882 + 3. What is the smallest common multiple of 10 and 15/(-35) - k/49?
190
Let h = 89 - 312. Let i = 226 + h. What is the lowest common multiple of i and 12?
12
Suppose 4*x = 2*r + 104, 5*x - 4*r + 16 - 143 = 0. Suppose j - 6 = 3*o, -5*j - 2*o + 57 + 7 = 0. What is the lowest common multiple of j and x?
108
What is the common denominator of -11/369 and ((-692)/24 + 8)*6/15?
369
Let l be (-7)/14*(1 - -9). Calculate the common denominator of (25/(-26))/(l + 5 + 37) and -43/8.
3848
Calculate the least common multiple of 30 and (-26)/(-143) - (-80840)/55.
1470
Let z be ((-16)/(-4 + 2))/1. Let q be (-4)/z + (-20)/8. Calculate the lowest common multiple of 6 and ((-24)/28)/(q/63).
18
Let p be 3 + -5 - ((-37 - -1) + -1). Suppose p*v - 66 = 34*v. What is the smallest common multiple of v and 60?
660
Suppose -3*j + 54 = -3*m, 6 = -m + 3. Calculate the smallest common multiple of j and 468.
2340
Let g(r) = -2*r + 42. Let d(x) = -3*x + 14. Let f be d(-10). Let t = f + -22. Calculate the least common multiple of g(13) and t.
176
Let g = 32531079635299/208840 + -1246162791/8. Let w = 14/1135 - g. Find the common denominator of -149/6 and w.
690
Let o be (-6 - (2 - 7))*0. Let g = -4 + 2. What is the lowest common multiple of 10 and o + (g - 2) - -10?
30
Let t(n) = -155*n**2 + 2012*n + 49. Suppose -3*m + 0*m + 90 = 0. What is the least common multiple of m and t(13)?
30
Let h = 3994 + -3916. What is the smallest common multiple of 420 and h?
5460
Let k = 11930/9 + -1326. Find the common denominator of -1*(-4)/(72/59) and k.
18
Let u be (807/(-819) - -5) + (0 - 4). Let i = -1013/819 + u. Find the common denominator of i and 24/13.
117
Suppose 18*r + 4824 = 864. Calculate the common denominator of -79/6 and 6/10 - ((-437)/r)/1.
132
Suppose 190 = 5*r - 55. Suppose -j + 10 = -3*j, 2*s = -2*j + 190. Suppose 99*i = s*i - 10. What is the least common multiple of r and i?
490
Let u = -406/335 - -62428/21105. Let q = u + -9067/1260. Calculate the common denominator of q and 57/430.
860
Let p = -116817/55 - -10612/5. What is the common denominator of p and -104/105?
1155
Suppose -935 = -86*r + 10547 + 128. Calculate the least common multiple of 990 and r.
2970
Let y(z) = z**3 - 8*z**2 + 8*z - 3. Suppose 3*p - 793 = 3*m - 781, -24 = -3*p + m. Calculate the lowest common multiple of y(7) and p.
20
Let z = -37/5 - -49/5. Let y be (749/(-56))/(2/(-162)). Let a = y + -1079. Find the common denominator of z and a.
40
Suppose -2 + 5 = -3*p, 0 = x + 4*p - 20. Let h(k) = 19*k**2 + 5*k + 10. What is the smallest common multiple of h(-1) and x?
24
Let a = -28 - -371. Suppose u - 4*o + o + 106 = 0, -3*u - a = -4*o. Let m = u - -130. What is the least common multiple of 21 and m?
63
What is the common denominator of -37/2871 and (6 - 187586/31262)/((-3)/27)?
20097
Let h = 115 + -110. Let r be 18/((h/(-1))/10). What is the common denominator of 42/5 and ((-639)/r)/(3/(-4))?
15
Suppose 3*j = -j + 20. Suppose i = 2*q + 5, j*i - 12 = -5*q + 2*q. Suppose -15 = -i*v - 2*v, -g = -4*v - 4. What is the least common multiple of 18 and g?
144
Let j = 1040209/528352 + -1/33022. Calculate the common denominator of -3/20 and j.
160
Let y(s) = -s**2 + 7*s + 4. Let l be y(8). Calculate the smallest common multiple of l*-2*(-5)/10 + 34 and 5.
30
Let z = -316 + 311. What is the lowest common multiple of 77 and z/(-20)*(38 - -2)?
770
Let m be 1/(-4 + 65/16). Suppose -29*o = -25*o - m. Calculate the least common multiple of o and 57.
228
Find the common denominator of (30/3)/1*18/7904 and 83/684.
17784
Let x(f) = 3*f**2 + 1. Suppose 2*z + 80 = -6*z. Let l(d) = -d**3 - 10*d**2 - d - 5. What is the lowest common multiple of x(-1) and l(z)?
20
Let i = 2383 + -2371. What is the smallest common multiple of i and 1282?
7692
Calculate the smallest common multiple of -5*(-329 + 18 + 13) and 1192.
5960
Let t be 384/(-14) + (-45)/(-105). What is the common denominator of 133/12 and 190/(-42) + 30 + t?
84
Find the common denominator of 12 - 47097*(-1)/(-3930) and -7/1441.
14410
Suppose -2*a + 17 = 4*v - 7, 5*v - 24 = -a. L