 Let l = 293 + u. Calculate the lowest common multiple of 4 and l.
16
Let d(c) = -72*c + 18. Let f(k) = 252*k - 63. Let y(z) = -18*d(z) - 5*f(z). Calculate the least common multiple of 5 and y(1).
135
Let j(x) = -2*x**3 - 3*x**2 - 9*x + 124. What is the lowest common multiple of 8 and j(-8)?
2056
Find the common denominator of 82/465 and 4/21*(-11 - (-7192)/640).
13020
Let w = 25 - 4. Suppose -2*m + 6*m - 27 = -3*p, m = 4*p + 2. Suppose 0 = m*o - 454 + 130. Calculate the least common multiple of o and w.
378
Suppose o = 2*s + 107 + 11262, -2*o = 3*s + 17064. Let b = s - -91019/16. What is the common denominator of (658/(-84) - -8)/3*219 and b?
48
Let r = 1258 - 1244. Calculate the lowest common multiple of r and 598.
4186
Let w = 270/13099 - 1047336485/288178. Let r = 3635 + w. What is the common denominator of r and ((-5)/(-8))/(-1 + -2)?
264
Let a(c) = -20*c + 80. Let o be a(8). Let n = o + 85. Suppose 0 = -2*g - 7 + 17. Calculate the least common multiple of n and g.
5
Let a = -17411731/101290 - 2/10129. Let j = 172 + a. Find the common denominator of j and 79/20.
20
Let n = 3463 - 76117/22. Find the common denominator of n and (-426)/21*(-1841)/(-69432).
132
Let t = -16/4133 + -297581/1066314. Find the common denominator of 67/18 and t.
774
Let g = -42002 + 197745425/4708. What is the common denominator of 19/220 and g?
23540
Find the common denominator of 148/555 + 713/(-30) and -77/534.
534
Find the common denominator of (16/(-6))/(6/(-10)) and (-13 + 6 - -5)*-13*13/(-64220).
1710
What is the common denominator of 59/86 and -13 + 2284/8772*50?
4386
Suppose 0 = 82*w - 87*w - 11375. Let v = -9029/4 - w. Find the common denominator of -19/28 and v.
28
Let g(j) = j**3 + 3*j**2 + 4*j + 3. Let u be g(-2). Let p = 6903 - 41387/6. What is the common denominator of u - 1 - (-7)/22 and p?
66
Let m = -7151/7 - -3031709/2968. Find the common denominator of m and -71/14.
2968
Suppose 24*d - 1392 - 1728 = 0. Suppose 72 = 142*z - d*z. What is the smallest common multiple of 95 and z?
570
Suppose 11*c - 1764 - 7709 = 2462. Calculate the lowest common multiple of c and 20.
4340
Let g = -4840/9 - -543. Calculate the common denominator of g and (-15)/2025*-15 + (-376)/738.
369
Let g(t) = -13*t - 11*t - t**3 - 44 + 3*t + 24*t**2. Let u be (-21)/(-14)*((-222)/(-18) - -3). Calculate the smallest common multiple of 27 and g(u).
54
Suppose -2*j - 13*j + 15 = 0. Find the common denominator of 0 + -2 - (48/(-20) + j) and 106/18 - (2 + -2).
45
Let l(c) = 2*c**2 - 19*c + 27. Let q be l(8). Calculate the smallest common multiple of 1 - ((1 - 76) + q) - -3 and 12.
228
Calculate the least common multiple of 34/((100/(-330))/(-5)) and 143.
7293
Calculate the common denominator of (-2)/(-18)*(-2)/(-2)*5618/31694 and 113/12.
10764
Let p = -75 - -74. Let i be (p - 1469816/204) + 3/(-18). Let f = 7208 + i. Find the common denominator of 51/20 and f.
340
Let o = -12 + 36. Let g = -101 + 127. What is the common denominator of g and (-65)/(-9) + 0/(o/4)?
9
Let m be 1/((6 + -4)/(-64)). What is the common denominator of (-24)/m + (-1025)/180 and 41/30?
90
Suppose -2*v - k + 414 = v, 5*v + k - 694 = 0. Calculate the least common multiple of v and 14.
140
Let u = 83815/4 + -20933. What is the common denominator of u and -97/6156?
6156
Let b be (9/18)/(1/(-2)). Suppose 5*d - 37 + 42 = 0. Find the common denominator of 16/9 and 27/48*-3*(b + d).
72
Let t(x) = 76*x**2 + 216*x + 1332. What is the least common multiple of 1980 and t(-6)?
13860
Calculate the common denominator of 9/1168 and 19 - 13 - (-34269)/(-5694).
15184
Let t be -3*9151/4356*6/4. Let a = t - 51/121. Find the common denominator of (-721)/(-14)*(-2)/22 and a.
88
Suppose 0 = 2*q + 2*b - 28, 17 = 2*q - 3*b - 31. Calculate the least common multiple of q and 126.
126
Let k = 152921/36 - 4250. Find the common denominator of k and -57/124.
1116
Let x = -52 - -121. Suppose -43*l + 447 = -x. Calculate the least common multiple of 27 and l.
108
Let m be ((-1163)/15)/((-2)/941). Let t = 36476 - m. Calculate the common denominator of (43 + 8091/(-189))*(-1 + -21) and t.
210
Suppose 3*u + b - 24 = 14, 4*b - 40 = -4*u. Let x = -11 + u. What is the lowest common multiple of x and ((-276)/(-24) - 7)*(8 + -2)?
27
Calculate the smallest common multiple of 568 and 190/209 - (-420)/22.
2840
Let w = 17 + -14. Suppose -4*h + 26 = w*b, -6*h + 23 = -b - h. Calculate the common denominator of 37/2 and 0/(((-21)/14)/((-3)/b)).
2
Let t = 748103/156750 - -1/7125. Calculate the common denominator of 1 - (-2 + (-1095)/108 + 12) and t.
396
Calculate the smallest common multiple of 5966/30 - ((-966)/(-315))/(-23) and 8.
1592
Suppose 38010*u = 38006*u - 5*j + 59, -j = -4*u + 17. Suppose y - 48 = -2*y. Calculate the smallest common multiple of u and y.
48
Let v = 3783540/170395147 - -36/80413. Find the common denominator of v and -7/1630.
21190
Let o = 557 - -1689. Find the common denominator of 61/21 and o/672 + 92/(-161).
336
Suppose -5*h + 372 = 2*d - 3*h, 0 = -4*d - h + 753. Let b = 333 - d. What is the least common multiple of 8 and b?
144
Find the common denominator of -5*3*4/216*(-2666)/215 and 33/922.
8298
Let f = -9654 + 9662. Calculate the lowest common multiple of f and 1654.
6616
Let s be 82/(-360)*1574 - 1. Let f = s - -3254/9. Let x = -4/9617 + 798235/57702. What is the common denominator of x and f?
30
Let h(j) be the second derivative of -j**4/12 - j**3/2 - 3*j**2 - 42*j. Let s be h(-6). Find the common denominator of -77/34 and (-3*166/s)/((-21)/(-6)).
238
Let x(n) = -n**3 + 8*n**2 - 1. Let a be x(8). Let s(b) = 440*b - 3959. Calculate the lowest common multiple of s(9) and (-5)/(3/6*a).
10
Calculate the common denominator of -64/91 and ((-8)/42 - (-48)/168)*45/132.
2002
Let j(b) = -5*b - 1. Suppose -3*y = 5*s - 207, 4*y - 2*s + 145 = 343. Calculate the smallest common multiple of y and j(-5).
216
Let q be (0 + 776/(-6))*(-54)/(-36). Let x = q + 202. What is the lowest common multiple of 86 and x?
344
Let k = 77 - 122. Let s be (-12)/(-5) + k/(-75). Find the common denominator of s + (-2 - (-92)/(-44)) and 31/6.
66
Let l(i) = 6*i**2 - 24*i + 396. Calculate the lowest common multiple of 198 and l(15).
1386
Let v = 301/51 - 24199/4080. What is the common denominator of -17/280 and v?
1680
Let u = 1 - 6. Let y(b) = -b - 237. Let c(z) = 66. Let a(n) = -7*c(n) - 2*y(n). What is the least common multiple of 8 and a(u)?
8
Let i = -128/111 + 6395/444. Calculate the common denominator of i and (-2)/6 - 205/(-255).
68
Suppose -d - 345 = 4*m, 5*d = 4*m - 1478 - 247. Let a = d + 399. Calculate the smallest common multiple of a and 42.
378
Let p(r) = 5*r**2 - 4*r - 2. Suppose 3*t - 60 = -3*c, 14*c - 2*t - 100 = 9*c. Calculate the smallest common multiple of c and p(6).
1540
Find the common denominator of (-8)/(-64)*(-1 - 15/186) and (-3441)/4440*(-4)/2.
2480
Let j = 1/238 - -111/1904. What is the common denominator of -95/168 and j?
336
Suppose 49 = 3*j - 215. Suppose a - 39*z = -51*z + 38, 4*a - z - 5 = 0. What is the smallest common multiple of a and j?
88
Suppose 4*u - 12 = 5*j, 1 = -5*u - 2*j + 16. Suppose 24 = u*n + 18, y = 4*n + 4. What is the least common multiple of y and 99?
396
Suppose -5*s + 4*c + 10 = -23, 5*s + 5*c = 15. Suppose -30*v - 65 = -215. What is the lowest common multiple of s and v?
5
Suppose 0 = 4*a - a - 333. Let k = 173 - a. Let v(i) = i + 8. What is the smallest common multiple of v(8) and k?
496
Suppose 4*b - 3372 = 3*n - 4*n, 5*b + 4*n - 4204 = 0. Let m be 6 - 7 - 7556/9. Let h = b + m. Find the common denominator of -47/7 and h.
63
Let y = 139 + -127. Let o = -211 + 277. Calculate the least common multiple of o and y.
132
What is the common denominator of -53/19 and (-3)/(-6) + (1615/362 - (-25 - -30))?
3439
Let i(q) = -q**2 + 2*q + 3. Suppose -6*n + 5 = -7. Suppose -n*p = -6*p. Calculate the least common multiple of 4 and i(p).
12
Let q be 6/51 - (3 + 253/(-17)). Calculate the common denominator of (-1)/(-5)*5/q and 101/14.
84
Let z = 94/37 + -3/74. Let d = -507/557 + -12268525/6684. Let k = d + 1829. Find the common denominator of z and k.
12
Let w = 16 + -11. Let z be 2/w - (-2)/620*38572. Let s = -628/5 + z. Find the common denominator of -14 and s.
31
Suppose -10*r + 115 = -1235. Calculate the smallest co