+ 12 = -42*k. Calculate the least common multiple of k and i.
4
Let q be ((-42)/(-18))/7 - 238/(-6). Suppose -z - 30 = -q. Calculate the smallest common multiple of 10 and z.
10
Let l = -69 + 108. Let o = 1 + l. Suppose -f + 22 = 4*z, f + 3*f + 4*z - o = 0. What is the smallest common multiple of 18 and f?
18
Let o = -3371293/152 + 22179. What is the common denominator of 37/57 and o?
456
Let r = -7687147/10314542 + -1/97307. Calculate the common denominator of r and 41/16.
848
Let k be ((-14)/10)/((-3)/15). Let b(n) = -n**3 + 7*n**2 + n - 1. Calculate the lowest common multiple of b(k) and 8*(21/6 + -3).
12
Let h be (-7357)/(-30) + 24/36. Let z = h - 507/2. Let n = -359/10 + 1193/20. What is the common denominator of z and n?
20
Let u = 3698/5 + -14763/20. What is the common denominator of u and -29/30?
60
Suppose 2*j + j = 0. Suppose 3*f - 4*f + 18 = j. Calculate the smallest common multiple of f and 15.
90
Let a = 99763/18 + -5545. Find the common denominator of a and -1/38.
342
Find the common denominator of 1/(-6)*49 + 1 and ((-117)/15)/((-9)/(-6)).
30
Let u = -123/4 - -4517/140. What is the common denominator of u and 19/40?
280
Let n = 6 + 2. Let h = -470 + 480. Calculate the least common multiple of n and h.
40
Suppose j = 552 - 107. Suppose 4*a + 5*t = 1165 - j, 0 = -5*t. Find the common denominator of 87/14 and (505/a)/((-3)/(-9)).
84
Let y = -16 + 109. Let h = 121 - y. Calculate the lowest common multiple of h and 28.
28
Suppose -16*d - 3 + 51 = 0. What is the smallest common multiple of 68 and d?
204
Let y = -888 - -886. Let i = -11 + -1. Calculate the common denominator of (y + (-628)/i)/(-2) and -43.
6
Let m = 3594 + -39481/11. Let o = -12 - -18. What is the common denominator of 1/(o/92) + -3 and m?
33
Find the common denominator of 85/446 and (1 + (-76)/72)*-44.
4014
Let t = -9 - -19. Let w(g) = -2*g**3 + 4*g**2 - 2*g - 1. Let b be w(2). Calculate the common denominator of -52/3 and ((-9)/14)/(b/t).
21
Let c = 65803/12810 + -3/854. What is the common denominator of c and 258/27 + 42/(-28)?
90
Let q = -472532 - -247606671/524. Calculate the common denominator of 119/18 and q.
4716
Let u be (-338694)/(-111176) + 3/12. Let s be 6/3207*(-1 - -7). Let z = u + s. What is the common denominator of -33 and z?
13
Let t(r) = -2*r**3 + r**2 + 2*r + 3. Let q be t(3). Let n be (-1)/(-2)*(15 - 99). Find the common denominator of (15/2)/(n/q) and 24/7.
7
Suppose -14*k + 10*k + 72 = 0. Let d = -212 + 239. Calculate the lowest common multiple of k and d.
54
Let d = 48422937472/599 - 80839604. Let n = 5299/4912998 - 1/4101. Let c = n - d. Find the common denominator of c and 11/5.
10
Let f = 1469563/36 + -40818. Calculate the common denominator of f and (-8)/14 - (7 - (-6280)/(-210)).
36
Let n(p) = -7*p + 172. Calculate the least common multiple of (-1 - 1)/2*-5 and n(23).
55
Let p = -28 - -61. Suppose -3*n - 5*f = -p, 5*f - 28 = -5*n + 27. What is the smallest common multiple of n and 11?
11
Suppose 4095 = 3*y + 4005. Calculate the lowest common multiple of y and 72.
360
Let u = 14 - -807. What is the common denominator of 173/30 and (-6)/(-27) + u/(-90)?
30
Let g = -1490 + 5911/4. Find the common denominator of ((-68)/119*(-2)/8)/(-1) and g.
28
Suppose 3*b - 7*b = 3*o + 17, 5*o = 2*b - 11. Let i = 11631/10 - 1166. What is the common denominator of (-1014)/45 + b/(-10) and i?
30
Calculate the lowest common multiple of 8 and ((-60)/(-8))/3*(-276)/(-15).
184
Suppose -4*a = -3*a - 2. Let b be 2/(-8) - 145/(-20). What is the smallest common multiple of a and (-5 - (-4)/1) + b?
6
Find the common denominator of -53/27 and -4 + -1*(-156)/27.
27
Calculate the smallest common multiple of 268 and (-43)/(860/16) + (-288)/(-10).
1876
Suppose -3*o = 2*o - 6275. Suppose -j + 0*j + o = -3*v, 3*j + 2*v - 3765 = 0. Let s = -2611/2 + j. What is the common denominator of s and -109/12?
12
Suppose -2*l + 4*l - 4 = 0. Suppose l*h - 5 = -t, -2*h + 3*h - 2*t = 15. What is the least common multiple of h and 5?
5
Let t = -77 - -35. Let v = t + 60. Calculate the common denominator of -48/7 and 115/v + (-7)/(-42).
63
Suppose -5*d - 4 + 6 = -2*r, 5*d - 4*r + 6 = 0. Calculate the lowest common multiple of 2112 and d.
2112
Suppose -5*m - 3*k - 2 = -0, 12 = 2*m - 2*k. Let y = 20 - 16. What is the lowest common multiple of m and y?
4
Let o be 2 - ((-38)/(-572))/((-4)/(-144)). Let c = 2/13 - o. Calculate the common denominator of 93/22 and c.
22
Let x be 157/(-2435)*(-8530)/(-60). Let z = 2/7305 - x. Let v = -16727/4 + 4203. Find the common denominator of v and z.
12
Let u = 57451/220 - 2850/11. Find the common denominator of 95/8 and u.
40
Suppose -5*d - 281 + 23 = -p, 3*p = -6. Find the common denominator of -3 - d/14 - 2 and -25/7.
7
Let u be (4 - 6)/(1/(-2)). Calculate the lowest common multiple of (-8)/5*(-6 + 0)*10 and u*(2 + 3 + -2).
96
Suppose 5*q = 2*h + 20, -2*q + 0*h = 3*h + 11. Suppose 0 = -0*w - 5*w. Let r = q + w. What is the smallest common multiple of r and 18?
18
Let s be ((-12)/(-36))/((-2)/30). Calculate the lowest common multiple of (54/15)/((-2)/s) and 9.
9
Suppose 18*u + 1080 = 23*u. What is the lowest common multiple of u and 72?
216
Suppose -4*m - 5*l - 3 = 0, 5*l + 0 - 9 = 2*m. Find the common denominator of (m - -3)*1071/90 and -8/3.
30
Let j(d) = -d**2 + 7*d - 13. Let q be j(12). Calculate the lowest common multiple of 22 and (-2 - -5) + (0 - q - -2).
858
Let t = 3413 + -13563/4. Find the common denominator of -99/28 and t.
28
Let i = 11147/20 - 557. Calculate the common denominator of i and -133/96.
480
Suppose -4 - 11 = -5*o. Suppose 222 = -25*q + 1597. Calculate the smallest common multiple of o and q.
165
Let u = -62989/281528 - -7/2707. Let j = u + -2395/104. Calculate the common denominator of j and -79/4.
4
Let w = 176/141 + -18743/5640. What is the common denominator of -67/4 and w?
40
Let w = -12 + 26. What is the least common multiple of 2 + 14*(-4)/(-8) and w?
126
Let g(y) = 35*y**2 - 2*y + 1. Let n be g(1). Suppose -38*s = -n*s - 88. What is the least common multiple of 12 and s?
132
What is the common denominator of 1/204 and (-2)/(-3) + (-305)/110?
2244
What is the smallest common multiple of ((-9)/(-6))/(15/10) - -29 and 6?
30
What is the smallest common multiple of -4*(3097/(-228) - 1/6) and 165?
165
Let y be (-1 + -2)*(-102)/(-9). Let c = -35 - y. Calculate the common denominator of -99/4 and 1/c*(-356)/32.
8
Let t = -3 + 14. Suppose 0*q + q + 4 = -h, -q - 4*h + t = 0. What is the common denominator of 151/6 and (-2)/q - 3545/360?
24
Let z(g) = -6*g**3 + 12*g**2 - 8*g - 10. Let b be z(9). Let l = -38299/11 - b. What is the common denominator of -22/23 and l?
253
Suppose -106 = -2*b + 3*z, 5*b - 349 = -2*z - 65. Let w = b - 44. Calculate the lowest common multiple of w and 2.
12
Let b be 6/(-9)*(-144)/(-8). Let w be -2 + 2 - (-18)/1. Let h = b + w. Calculate the least common multiple of 18 and h.
18
Let q = -328 + 13765/42. Find the common denominator of q and 4/20*(-5)/(-18).
126
What is the common denominator of -1*((-408)/33)/8 and 107/12?
132
Let k(c) = c + 2. Suppose -2*q = 5*f - 16, -5*q + 2 = 4*f - f. Let v be k(f). Calculate the common denominator of ((-16)/21)/(v/56) and -53/8.
72
Let l be (76/8)/((-7)/16). Let b = 121/7 + l. What is the common denominator of 52/11 and b?
77
Let x = 189593/2216528 + -1/7888. Find the common denominator of x and -25/4.
1124
Let v(w) = 3*w + 3*w + 3*w**2 + 2*w - 12 + 10. What is the lowest common multiple of v(-3) and ((-2)/6)/((-4)/12)?
1
Suppose -110 = 4*n - 15*n. What is the lowest common multiple of n and 108?
540
Suppose 5*q = -5*v - 5, 5*v + 0 = 5*q - 5. Suppose 2 = -2*j, -2*x - 2*j = -q*j + 18. Calculate the common denominator of 101/14 and x/28 - (-2463)/(-126).
42
What is the smallest common multiple of 14 + -17 - (-1 + -4 - 0) and 155?
310
Let a = 368 + -359. Calculate the smallest common multiple of 1 and a.
9
Let k = 115 + -117. Suppose -s + 1 = -2*w + 15, 5*s - 26 = -2*w. What is the lowest common multiple of w and (-11)/k + (-26)/(-52)?
24
Let m = -752307249/22 - -34211102. Let z = m - 15315. Calculate the common denominator of -113/18 and z.
198
Let p be 2569/(-20)*180/70. Let n = -339 - p. Find the common denominator of n and -81/20.
20
Let r = -1027 - -1493. Let h = r + -1