e -5*s + 5*a = -3440, -4*s + a = 5665 - 8447. Calculate the lowest common multiple of s and j(5).
3490
Let w = 58/95 - 10193/15295. What is the common denominator of w and -27/203?
4669
Let p(x) = -x**2 - 63*x + 2734. Calculate the lowest common multiple of p(-92) and 2700.
29700
Find the common denominator of -5/16 and (68/(-10))/((-68)/1275*-1551).
8272
What is the lowest common multiple of 112/14 + -8 - (-2496)/(-2 + 4) and 1872?
3744
Suppose 5*m = 51775752 + 364305023. Let k = m + -53008702036/637. Let z = -224/13 - k. What is the common denominator of 63/8 and z?
392
Let p be 681/(-342) + (-4)/(-2). Let v = 272/429 + 5659/5434. Let x = v - p. Find the common denominator of x and 42/5.
15
Let y = 59683 + -24171547/405. What is the common denominator of y and 59/414?
18630
Let x = 3328 + -19919/6. Find the common denominator of x and 522/(-945) - (8/(-28) + 0).
30
Let i(a) = 300*a + 19896. Calculate the smallest common multiple of i(-66) and (16/(-6))/((-2)/81).
864
Let z = 17/163 - -5973/2119. Let y = z - 1609/546. Let f = 45685/154 - 2103/7. What is the common denominator of y and f?
462
Let q = -12716038/1113 - -11425. Calculate the common denominator of -9/5 and q.
5565
Let i(j) = 2*j**3 + 527*j**2 + 780*j - 1571. Suppose -2*u - 2*u - 132 = 0. What is the lowest common multiple of i(-262) and (u/(-9))/((-2)/(-6))?
11
Let b be (-26)/6 - (-1 - 1). Let c = b + 53/12. Find the common denominator of c and 11/222.
444
Let s be 42 + -49 - (-4480)/606. Let g = s - 439/39693. Find the common denominator of g and 97/6.
786
Let r(t) = t**2 + 3*t - 4. Let h = -260 + 265. Suppose -3*p = -4*p - 3, -h*b + 22 = -4*p. Calculate the least common multiple of r(-8) and b.
36
Let z be (36/(-45))/(4/220). Calculate the lowest common multiple of 30 and (11/z)/(((-21)/(-24))/(-7)).
30
Let f(j) = 8 - 5*j - 1827*j**2 + 29 + 1829*j**2. Calculate the smallest common multiple of 56 and f(4).
392
Let y be (-45)/6*-3*80/72. Find the common denominator of -68/111 and 78/630*-23 - 5/y.
777
Let m = 7554 - 7474. Let t(r) = -r**2 + 16. What is the smallest common multiple of t(0) and m?
80
Suppose 2*c + 16 = -3*o, 4*c = 3*o + 4 - 0. What is the common denominator of (-2050)/47400*(o - (-2 - -1)) and -1/4?
316
Let r = -2/188037 + -543583/1930011768. What is the common denominator of r and 31/6?
30792
Let y = -31457/429 - -930/13. Calculate the common denominator of y and 39/737.
2211
Suppose -z - 20 = -18. What is the common denominator of (74/(-10))/(12/30) and (1 + (-2 - 14))*z/32?
16
Let r(q) = 64*q**2 + 106*q + 216. Calculate the least common multiple of 52 and r(-2).
260
Let l = 138 + -240. Let g = 4 - l. What is the smallest common multiple of g and 6?
318
Suppose -8*d = -5958 - 1242. What is the common denominator of 47/15 and ((-1144)/d*-5)/(48/15)?
360
Let u = 79793/15860 - -15/793. Let m = -8160 + 130631/16. What is the common denominator of u and m?
80
Let h = -68 - -73. Let x(u) = -u**3 - 2*u**2 + 9*u - 2. Let k be x(-7). Suppose -k = -h*t - 15. What is the lowest common multiple of t and 27?
297
Let d = -39 - -510. Let f = 2238/239 - -775902/1673. Let q = d - f. Find the common denominator of q and 29/8.
56
Find the common denominator of ((-116)/(-870) - 102/(-135)) + 31/(-90) and (-2)/8 - (-555)/(-108).
90
Let m = -17602 + 18907. Calculate the least common multiple of m and 116.
5220
Let y = 2977/84 + -92593/2604. Calculate the common denominator of 15/133 and y.
8246
Suppose 0 = -14*d + 12*d + 196. Suppose -9*a + d = -2*a. Suppose 3*n - a = -4*w + 6, -5*w + 5*n + 60 = 0. What is the lowest common multiple of 9 and w?
72
Find the common denominator of ((-18)/(-144))/((40/(-94))/(-5)) and 77/72.
288
Suppose -6*j + 836 = -1018. Suppose -y + 337 = j. What is the least common multiple of y and 4?
28
Let g be (-5 - -1)*44/(-461032). Let r = 57665/94302 - g. Calculate the common denominator of 79/10 and r.
90
Let k = 148 + -138. What is the least common multiple of 134 and k?
670
Calculate the smallest common multiple of ((-1)/(-5) + 80/(-150))/((-2)/1752) and 20.
1460
Let w(t) = -4*t**2 - 2*t + 36. Let m be w(-7). Let u = m + 166. What is the lowest common multiple of u and 10?
20
Let b = 63 + -60. Suppose -4*d + 80432 = b*o, -4*d - 3*o + o = -80428. Let z = -663526/33 + d. Find the common denominator of z and -65/33.
33
Suppose -15 = o + 5*n, -o + 0*n + n - 3 = 0. Calculate the common denominator of 5 - (o - -8) - (-60)/(-16) and -7/59.
236
Suppose 288 - 52 = 4*h. Suppose -5*f + h = -6. Suppose -f*b = -444 - 128. Calculate the lowest common multiple of b and 18.
396
Let o = 18517988/855035685 + 2/264635. What is the common denominator of 151/6462 and o?
6462
Let d = -830094/190373 - 109/1499. Let v = 25829/10668 + d. Find the common denominator of 73/66 and v.
924
Calculate the common denominator of -39/136 and ((-12)/8)/((600/242)/(-5)).
680
Let k = -54973 - -113244333/2060. Calculate the common denominator of 51/14 and k.
14420
Let j = -13201 - -224381/17. What is the common denominator of j and 39/170?
170
Let j(p) = 109*p - 311. What is the lowest common multiple of 459 and j(8)?
5049
Let g(j) = -j**3 - 12*j**2 - 47*j - 22. What is the smallest common multiple of 104 and g(-7)?
3224
Let y = -2692 - -51169/19. Calculate the common denominator of 217/(-70) + 2 + 6 and y.
190
Suppose -4*v - 553 = 2*c - 157, -2*v + 3*c - 190 = 0. Let n = -43 - v. Find the common denominator of 71/62 and (19/n)/(12/(-150)).
682
Let h = -36026 + 36064. Calculate the smallest common multiple of 2428 and h.
46132
Suppose -2*i - 12 = -5*c, -c - 16 = -6*i + i. Calculate the lowest common multiple of (-55)/(-44) - (-60)/80 and i.
4
Suppose -440 = -4*q - 4*z, 0 = -139*q + 135*q - 5*z + 440. What is the least common multiple of q and 16?
880
Suppose 5204*f = 5095*f + 1962. What is the smallest common multiple of f and 12?
36
Let d = 57 - 33. Let v be (1 - -771)*5/(-4). Let t = v - -989. What is the least common multiple of t and d?
24
Let g be 994362/(-180) - 2/(-5). Let k = -5510 - g. Find the common denominator of k and 1 + 45/10 - -3.
6
Let t(g) = -5*g**3 - g**2 + 5*g + 1. Let y(c) = c**3. Let q(m) = -t(m) - 6*y(m). Let d be q(3). What is the common denominator of 3*-2*(-51)/d and -19/6?
6
Let k(t) be the second derivative of 0 - 23*t - 6*t**2 - 2/3*t**3. What is the smallest common multiple of k(-5) and 18?
72
Let p be ((-2)/(-4)*-1)/(7/70). Let q be (p/(-3 + -2))/((-1)/1141). Calculate the common denominator of -25/26 and (-16)/72 + (q/(-198))/(-7).
286
Suppose -256 = -34*n + 118. What is the least common multiple of 161 and n?
1771
Let r = 33382595/342 + -97610. Find the common denominator of r and -39/1216.
10944
Find the common denominator of -83/570 and ((-90)/(-297))/((-171)/(-33)).
1710
Suppose -250 - 142 = c. Find the common denominator of -115/102 and -1*7 - 5460/c.
714
Let u(y) = 10417*y + 41843. Suppose -6*t + 2 = -4*t, 0 = -b + t + 9. Calculate the smallest common multiple of b and u(-4).
350
Let t(l) = 6*l - 3. Let x be t(17). Suppose -5*u + x + 81 = 0. Calculate the smallest common multiple of u and 14*21*4/98.
36
Let i(q) = 542*q**2 - 5*q - 12. Let t be i(-2). Suppose -15*j + t = 4*j. What is the smallest common multiple of 5/((-2)/12*-3) and j?
570
Let l(i) = i**3 - 23*i**2 - 46*i - 6. Let n(t) = t**3 - 24*t**2 - 47*t - 5. Let v(c) = -5*l(c) + 4*n(c). What is the lowest common multiple of v(21) and 140?
140
Let y(f) = 6*f**2 + f**3 - 4*f + 14 - 20 - 11*f**2. Let c be y(6). Suppose -c = 10*d - 12*d. Calculate the smallest common multiple of d and 9.
9
Let r = -5681549/65588754 + 10/58457. Calculate the common denominator of 19/204 and r.
2244
Let h = 16713447/250 + -66854. What is the common denominator of h and 69/10?
250
Suppose 8*l = -14*l - 89166. Let m = l - -48551/12. Calculate the common denominator of m and 67/154.
924
Let v(g) = -3*g**3 - g**2. Let s(w) = -7*w**3 - 15*w**2 - 18*w - 22. Let x(a) = s(a) - 2*v(a). What is the smallest common multiple of 8 and x(-12)?
200
Let x(b) = 13*b + 1. Let p be 16/((-208)/(-1235)) + (4 - 1). Suppose -23*i + 40 = -p. What is the least common multiple of i and x(1)?
42
What is the common denominator of 190/(-8)*(-1)/(-12) and (-1892)/2322*432/(-99)?
144
What is the least common multiple of 832 and -26*16/(-104) + (4 - 3 -