412. What is the least common multiple of z and 25?
25
Suppose 15*y - 18*y = 2*r - 18, -3*y = 12. Let h = 8 + -5. Calculate the least common multiple of r and h.
15
Suppose 5*t + 29 = 4*q, q + 24 = -4*t - t. Let c = 9 + t. Suppose 0 = -3*l + 2*l + p + 26, -c*l = 4*p - 88. What is the lowest common multiple of l and 6?
24
Let x(z) = 6*z**2 - 12*z - 25. Let a = -42 + 57. What is the lowest common multiple of x(-5) and a?
555
Let s be (3653669/(-9) - 2) + 44/198. Let j = -153454657/378 - s. What is the common denominator of j and 47/20?
3780
Let v(t) = 10*t**2 - 16*t + 1. What is the least common multiple of 2099 and v(0)?
2099
Calculate the common denominator of ((-3)/(-882))/(2/(-110)) and 83/112.
2352
Let s = 2861999 - 17228255/6. Let d = s + 9232. Let i = -500/3 - d. Calculate the common denominator of i and 61/10.
30
Let l = -89153/29910 - -14/997. Calculate the common denominator of -13/18 and l.
90
Let c be 3/(-380)*2/(-3). Let o be (-6)/152*1089308/(-6840). Let p = o + c. Calculate the common denominator of p and 83/30.
120
Let q be ((-194)/(-4))/(4 + 165/(-40)). Let z = q + 418. What is the least common multiple of z and 12?
60
Suppose 332 = -15*y + 117*y - 4462. Let t = -75/11 + 1424/275. Find the common denominator of t and y.
25
Let f be (-203)/29 + (-1035 - 1). Calculate the common denominator of f/858 - (-42)/(-231) and (23/6)/(16/(-18)).
624
Let x = -267 - -271. Suppose 3*i - 8*i + 35 = g, -g = -x*i - 80. What is the lowest common multiple of g and 8?
120
Let p = 188723/945 - 1398/7. Find the common denominator of p and -17/270.
270
Suppose -3*x - 82*z = -83*z - 613, -z = -4*x + 817. Let a(p) = -p**3 - 4*p**2 + p - 4. What is the lowest common multiple of x and a(-5)?
816
Suppose 153*d - 15*d = -191*d + 56259. What is the smallest common multiple of 54 and d?
1026
Let o be (-1 - -2) + -4 - 79514125/(-5500). Let s = o - 14453. Find the common denominator of -37/36 and s.
396
Let w = 18057/25 - 723. What is the common denominator of w and 2344/110 - (-30 - -51)?
275
Let r(w) be the second derivative of -w**5/20 + w**4/2 + 3*w**3 - 4*w**2 - 9*w. Let d = 48 + -20. Calculate the lowest common multiple of d and r(8).
56
Let b be 7 + -2 + (-116712)/13770. Let r = b - -31/85. What is the common denominator of -63/2 and r?
18
Suppose 14*o - 1414 + 28 = 0. Let j = o - 690/7. What is the common denominator of j and 74/35?
35
What is the common denominator of 725199/31270 + -20 + -3 and 17/3658?
18290
Suppose -2*r + 119 = 2*k - 5*k, -4*k - 158 = -2*r. Calculate the common denominator of 29/3 and (800/k)/8 + 1.
39
Suppose 3*n + 5*q + 70 = 6*n, -5*n - q + 126 = 0. Suppose -8*h + n = -39. What is the smallest common multiple of h and 12?
24
Let s = 16/107737061 + -8406184225453/275591402038. Let a be 4/2558*(-9)/(-6). Let h = s + a. Find the common denominator of -83/16 and h.
16
Let w be 3 - -5 - -1 - -3. Suppose s - 24 = w. Let x(m) = -48*m - 2060. Calculate the lowest common multiple of s and x(-43).
36
Let r(k) = -13*k + 6 + 0*k - 19. Let h be r(3). What is the common denominator of -43/8 and ((-1)/(-6) - -1)*h/8?
24
Let q be (-389440210875)/(-3276) + 2 - (6 - 9). Let m = q - 118876757. Let p = m + 319/52. Find the common denominator of p and -70/9.
63
Suppose -3*h - 247 = 5*c - 6*h, 196 = -4*c + 4*h. Let q = c + 161. Let a = -45 + q. Calculate the smallest common multiple of 14 and a.
462
Find the common denominator of -61/46378 and (-2365)/(-396) - ((-13)/9 - -1).
278268
Let s = -22937 + 688213/30. Calculate the common denominator of s and -91/660.
660
Let w = 141 + -120. Let b = -105 + 111. What is the smallest common multiple of b and w?
42
Let n = 61 - 60. Let j = -1695/2 + 811. Find the common denominator of j and n - 3 - 48/22.
22
What is the lowest common multiple of 6 and (-2080)/312*354/(-5)?
1416
Let o(v) = 26*v**2 + 304*v - 280*v + 21 + v**3 - 7. What is the smallest common multiple of 3 and o(-25)?
39
Let v = -134430 + 298889. Let h = 8715997/53 - v. Let i = h - -12087/2120. What is the common denominator of -121/12 and i?
120
Calculate the common denominator of -54/299 and (88/12)/((-10)/(-25)).
897
Let v = -6110 + 7034. What is the lowest common multiple of v and 1260?
13860
Let r = 3514 + -3470. What is the smallest common multiple of 9 and r?
396
Let x(f) = -699*f - 2782. What is the smallest common multiple of x(-4) and 4683?
9366
Let k(u) = -u**3 + 21*u**2 - 17*u - 62. Let m be k(20). Find the common denominator of (-235)/110*(-4)/m and (-1)/(-3) + 226/(-48).
88
Let v(m) = 11*m**2 + 65*m - 36. What is the smallest common multiple of v(6) and 300?
1500
Let h be (-4)/(-1) - (5 - 4796/4820). Let z = -38518/8435 + h. What is the common denominator of (-25)/(-2)*(-22)/80 and z?
112
Let p be 4*(-3)/(-6) + (-3)/3. Let m = 42 - 28. What is the least common multiple of (-92)/322 + (172/14)/p and m?
84
Suppose 4*f + 2*p + 8158 = -3748, -f - 2*p - 2972 = 0. Let z = -670049/225 - f. What is the common denominator of -19/55 and z?
2475
Let k(z) = -2880*z**3 + 513*z + 513. Calculate the smallest common multiple of 2016 and k(-1).
20160
Suppose 1319 = -3*n - 3*i + 7*i, 2*n + 4*i = -886. Let d = -425 - n. Calculate the least common multiple of d and 8.
16
Suppose -2202 = r - 7*r. Let d = r - 384. What is the common denominator of 101/108 and d?
108
What is the least common multiple of (-16 - (-7450)/(-125))/(0 - 1/5) and 36?
756
What is the common denominator of -2/861 and (7/(56/(-148)))/(63/6)?
861
Let t = -10 - -12. Find the common denominator of (0 - 131)*t/(6*-4) and -35/18.
36
Let h = -2/1403 + 79979/5612. Find the common denominator of h and -49/16.
16
Calculate the common denominator of (1150/391)/(25 + -3 + -4) and 55/459.
459
Suppose -7*p = -10*p + 12. Let c = -2 + p. What is the least common multiple of ((-186)/24 + 1)/(3/(-12)) and c?
54
Let g = 1871/3 - 1289/2. Find the common denominator of g and ((1245/(-4))/5)/(36/(-3)).
48
Suppose -14 = -2*x + 4*r, 2*x = -2*r + 3*r + 23. Let o(d) = 2*d + 10. Let j be o(x). Let q = -16 + j. What is the least common multiple of 88 and q?
440
Suppose 5*b + 6*k = 3*k + 7694, b = -2*k + 1536. Calculate the common denominator of (-7)/(b/(-432)) - 1 and -117/10.
110
Suppose -3*t - 4*c - 77 = 0, -5*c = -2*t - 67 - 15. What is the common denominator of (t/(-4))/(630/40)*6 and (8/(-18))/((-6)/17)?
189
Let d be ((-12)/(-20))/(-3) - 138/(-15). Calculate the common denominator of (-2)/d + 4114/693 and 56/5.
35
Let o = -7745/16 - -479. Calculate the common denominator of o and (-4)/62 + (-95241)/26288.
16
What is the common denominator of 103/34 and (528/736)/(-11)*(-64)/(-3)?
782
Suppose -4*k - v + 29 = 0, -2*k + 3*v - 1 = -26. Suppose 10*y = -4*y. What is the least common multiple of k and 21/(-6)*-2 - y?
56
Suppose -8*l = 9*l - 799. Let x(k) = k**3 - 2*k**2 - 5*k + 3. Calculate the lowest common multiple of x(4) and l/94 - (-65)/2.
165
Let v be 49416/80*15/(-708)*-1. Let n = v - 42/59. Find the common denominator of n and 65/72.
72
Let t(i) = -296*i + 96. Let r be t(6). What is the common denominator of -2*1 + 26/(-21) and (-994)/r - 1/(-5)?
168
Let y = 10104 + -565907/56. Find the common denominator of y and ((-1415)/(-350) + -4)/((-2)/(-10)).
56
Let h = -503 + 560. What is the smallest common multiple of h and 561?
10659
Let z(r) = -1901*r + 5568. Let m be z(7). Let v = -2153060 - -12872053/6. Let n = m - v. Find the common denominator of -25/24 and n.
24
Let z be -3 + (-18)/(-12)*8/3. Let d be (z + -1 + -3)*(-70)/42. Suppose -5*q + d = -35. Calculate the least common multiple of q and 18.
72
Suppose -5*g - 4*g + 27 = 0. Suppose -2*l - 150 = g*l. What is the common denominator of (-10)/(-10) - 149/l and -107/22?
330
What is the common denominator of 26/495 and 4/(-30)*-99*(-130)/(-195)?
495
Suppose 5*z - 408 = -2*p + 2638, 0 = z - 3*p - 633. Calculate the lowest common multiple of 238 and z.
4284
Suppose 7*x - 1 = 6*x. Suppose l = 5*h - 20, -2*l - x + 0 = 3*h. Calculate the smallest common multiple of 10 + (0 - -1)/1 and h.
33
Suppose 0*u = -u + 3. Suppose d = -3*d + b + 20, 0 = -2*d + u*b. Calculate the smallest common multiple of -5 + 2*104/16 and d.
24
Let l = -13632954000401/970200 - -309137333/22. Let g = 2/11025 + l. Find the common denominator of g and 89/8.
24
Let y(b) = 2*b**3 + 8*b**