- 60 = 18*d, -2*d - 3*s - 63 = 0. Find the common denominator of (d/16)/(23/(-276)) and -31/4.
4
Let q = -2084 - -2128. What is the least common multiple of 264 and q?
264
Calculate the common denominator of 2/(-36)*(5/4)/(7/(-20)) and 88/483.
2898
Let t = -1/3434 + 163121/20604. Let q = 28/265 - -19397/9540. Find the common denominator of q and t.
36
Let k(v) = 6*v + 219. Let d be k(-37). Let c(t) = 7*t + 102. Calculate the smallest common multiple of 42 and c(d).
1134
Let w = 355 - 333. Let i be 1*(-4)/(16/(-12)). Suppose j - 8 = i*j, -2*m + 32 = -3*j. What is the lowest common multiple of w and m?
110
Let f be -1 - ((-40452)/13485 + 2). Let s = 92593/17980 - f. What is the common denominator of s and (-16 + (-2792)/(-128))/(-3 - 0)?
80
Let v(n) = 2*n**2 + 11*n - 21. Suppose t - 2 = -5. Let b(j) = -5*j**2 - 34*j + 63. Let i(g) = t*b(g) - 8*v(g). What is the least common multiple of i(11) and 8?
24
Suppose 0 = -14*z + 38*z. Suppose z = -4*c + 347 - 67. Calculate the least common multiple of c and 63.
630
Let u = -169624 + 56993729/336. What is the common denominator of u and -87/1232?
3696
Suppose -d = -5*a - 0*a + 23, d = -a + 7. Suppose a*q - 42 - 16 = -2*s, 3*s - 5*q = 62. Calculate the smallest common multiple of s and 9.
72
Let d = 2278833/4 + -569718. Suppose 0 = -2*b + 2. Find the common denominator of d and (-86)/(-1)*b/22.
44
Let k = 5716 - 5709. Suppose 5*v - 12 - 3 = 0. Suppose 0*t + 25 = v*s + t, -5*s - t = -45. Calculate the least common multiple of s and k.
70
Let v = 86 - 82. What is the common denominator of (v - 4) + (-21)/(-8) and -35/64?
64
Let h = 3/569 + -23356/5121. Suppose 6*t - 22 = -4. Calculate the common denominator of h and 21645/(-74)*t/(-75).
90
Let v = 56919/20965 + -2/2995. Let a = 1444/21 - 6109/84. Calculate the common denominator of a and v.
28
Let c(h) = -h + 15. Let t(x) = x**3 + 7*x**2 + 8*x + 22. Calculate the least common multiple of t(-6) and c(-5).
20
Find the common denominator of ((-1)/6)/(16/(-135)) and (-6)/(-42)*(-21533)/(-366) + (-8)/6.
224
Let o = -69 + 35. Let r = o - -78. What is the lowest common multiple of 44 and r?
44
Calculate the common denominator of -26/687 and (-17910)/(-16488) - (19/28 + 36/63).
1374
Let r(d) be the second derivative of -d**5/20 - 5*d**4/6 - 17*d**3/3 + 19*d**2/2 + 25*d - 1. What is the smallest common multiple of 12 and r(-7)?
660
Find the common denominator of -13/60 and ((-5)/80*-8)/((-3550)/(-345)).
4260
What is the common denominator of -37/4 and 852/4520 - ((-196)/(-35) - 5)?
452
Let b = 2191943/8 + -273995. Let a be ((-10)/6 + 1)*6. What is the common denominator of 20/(-42)*1*a and b?
168
Suppose -32*r + 522 = -3*r. Suppose 4*h + 38 = 2. Calculate the common denominator of -41/2 and h/r*71/(-11).
22
Suppose 9*j - 10*j = -4. Let v be 8/(-10) - (-11)/(-55). Calculate the common denominator of 1/10 and (v + 1/j)*(36 - 41).
20
Let z = 2 + 1. Let h be ((-779)/57)/((-1)/z). Let n = h + -29. What is the lowest common multiple of 6 and n?
12
Let v = -12810168 + 115018096/9. Let m = -30418 - v. Let y = -19349/504 - m. Find the common denominator of y and 67/44.
616
Let h be -1 + (-19839)/10 + 1. Suppose -5*y + 1961 = 11896. Let b = y - h. Calculate the common denominator of b and 4/11.
110
Find the common denominator of 28/15*270/(-80) + 1 and -113/1410.
1410
Suppose -28*m - 23*m = 46*m - 41904. What is the lowest common multiple of m and 96?
864
Let k = -282 + 286. Suppose -3*g = 5*z - 33 - 63, 0 = k*z. What is the least common multiple of 24 and g?
96
Suppose f + 2*f - 750 = 3*k, 753 = 3*f - 2*k. Let o = f - 238. Calculate the least common multiple of 35 and o.
105
Calculate the common denominator of ((-10)/16)/((-7999103)/(-15092)) and 83/20.
466420
Let d = -9926 + 158769/16. Calculate the common denominator of 91/23532 and d.
94128
Suppose 37*f + 8 - 33 - 49 = 0. What is the least common multiple of f and 4546?
4546
Let q = -5817977/92 - -63240. Let y = -57113/10 - -5717. What is the common denominator of q and y?
460
Calculate the smallest common multiple of 276 and (-6)/(-45) + 45920/2100.
3036
Find the common denominator of ((-6)/(-33) + (-468)/(-330))*(-124)/1147 and 68/1665.
1665
Let r be 16/22*7318/12. Let z = r + -1328/3. Calculate the common denominator of 16 + (-7 - 5) - (1 + -6 + 6657/630) and z.
330
Suppose a - 5*v - 466 = 0, 2*a = -11*v + 12*v + 941. Suppose -4*z + 1991 - a = 0. What is the lowest common multiple of z and 4?
380
Calculate the common denominator of (-37)/(-5328)*127/9 and 61/1620.
6480
Suppose -33*n + 83*n - 24150 = 0. Calculate the smallest common multiple of n and 207.
1449
Let c(t) = 14*t**2 + 245*t - 5029. Calculate the least common multiple of c(19) and 3432.
51480
Let i be 9/(-36)*3*-860. Let j = -625 + i. What is the smallest common multiple of j and 196?
980
Let j = 1/88261 - -967586/289937385. Calculate the common denominator of j and 89/42.
45990
Let o = -243 + 25. Let u = -196 - o. What is the smallest common multiple of u and 19?
418
Let g = -16 - -47. Suppose -5*k - 2*o + o = -43, -3*k + g = -2*o. What is the smallest common multiple of 14 and (-1)/(-2)*((k - 0) + -5)?
14
Let v = 19 - 0. Suppose -15*o + v*o - 8 = 0. Suppose -3*r - 4*z + 12 = -z, o*z = -4*r + 24. Calculate the smallest common multiple of 10 and r.
40
Let i = -1615 - -2994. Calculate the common denominator of 0 - (-2)/19 - i/646 and 39/8.
136
Let n be ((-24)/(-2822))/(8/(-16)). Let v = n + 120319/22576. Let c = -19766 + 711655/36. Find the common denominator of v and c.
144
Let c(z) = z**3 - 7*z**2 + 16. Let l be c(7). Let u = -8 + l. Calculate the smallest common multiple of u and 20.
40
Suppose 3*u = -4*c - 428 + 3143, -5*c + 3455 = -5*u. What is the least common multiple of 252 and c?
4788
Find the common denominator of 24/96*(-7)/56*79 and -69/944.
1888
Let i be 223/(-3) + 1/3. Let v = i + 66. Calculate the common denominator of ((-334)/v + -2)*(-10)/(-60) and 27/22.
88
Calculate the common denominator of ((-1936)/72)/((160/12)/10) and 65/6296.
18888
Let a be 56/8 + (-4 - 1). Suppose -a*l + 2*s + 26 = 0, 3*l + 2*s - 35 = 7*s. What is the least common multiple of l and 85?
255
Let p = 5673157/87 - 65208. What is the common denominator of p and 1*3 - (1 - 750/80)?
696
Let q(b) = 8*b**2 - 37 + 124*b**3 - 6*b**2 - 11*b + 13*b**2 - 123*b**3. Let s be q(-16). Calculate the common denominator of (s/42 + 4)*4 and -97/12.
84
Let m(x) = x**3 + 6*x**2 + 2*x - 4. Let f(d) = 2*d - 8. Let u = 82 + -74. What is the smallest common multiple of f(u) and m(-4)?
40
Suppose -7152 = 916*f - 1065*f. Calculate the lowest common multiple of f and (-117)/(-2)*12/9.
624
Suppose -3*y + 355 = z, 23 = y + z - 94. Let w = 221 - y. Calculate the lowest common multiple of w and 36.
612
Suppose -o = -3*r + 604, -3*o + 406 = 2*r - 2*o. Suppose -2*b + 0 + 8 = 0, b = -y + r. What is the common denominator of -119/18 and 210/y - (1 + 1)?
198
Suppose 2*p = 4*w + 32, -48 = -5*p + 2*p + 5*w. Let t = -1880 - -1982. What is the smallest common multiple of t and p?
816
Let n be 95/(-19) + -2 + 2 + -2626. Let p = n + 26199/10. What is the common denominator of -21/25 and p?
50
Let i = -445845/2935856 - -2/26213. What is the common denominator of -71/42 and i?
336
Let i(y) = -2*y - 46. Let w(q) = -q + 2. Let s(k) = -i(k) + 4*w(k). Calculate the least common multiple of 20 and s(-3).
60
Let n = 7123/4 - 1764. Let k = -5533 + 88621/16. What is the common denominator of n and k?
16
What is the smallest common multiple of 238/5 + 14/4*(-60)/(-525) and 2079?
33264
Let x = 4662397/18012 + -4918/19. Calculate the common denominator of -33/79 and x.
948
Let o(d) = 5*d**2 + 12*d**2 - 7*d**2. Suppose -5*i + 72 = -2*u, 2*i - 40 = -2*u - 0*u. What is the lowest common multiple of i and o(2)?
80
Calculate the common denominator of ((-66)/(-105))/((-120)/(-42)) - (4 - 6) and 7/395.
3950
Let m = -13725 + 15208. Calculate the smallest common multiple of m and 3.
4449
Let q = -1166 + 1196. Let g = -15139/3765 - -22/251. Calculate the common denominator of 7 - 323/q - 0 and g.
30
Let b = 12679009/405 + -31306. What is the common denominator of -95/1458 and b?
7290
Let p(h) = 5*h**2 + 43*h + 26. Let q be p(-8). Calculate the lowest common multiple of 168 and (-4)/(35/21 - (q - -1)).
168
Let m(b) = -2*b - 2. Let 