tiple of (-6)/(-9)*(-66)/(-4) and u(1).
55
Let r(s) = -s**2 - 12*s + 47. Let n be r(-15). Suppose d = n*d - 4. Calculate the least common multiple of d and 46.
92
Let d = 750 - 2227/3. What is the common denominator of d and 4*1*(-12 - (-1365)/126)?
3
Suppose -5*q - 23 - 27 = -5*i, i = -2*q - 2. Let l = -5 + 3. Let m = i + l. What is the smallest common multiple of m and 13?
52
What is the least common multiple of 271585/2175 + 4/30 and 400?
2000
Let b = 54 + -82. Find the common denominator of ((-4)/b)/((-18)/2037) and 23/22.
66
Let l be (5 + -3)/(5/(-13010)). Let m = l + 41557/8. What is the common denominator of m and -145/18?
72
Suppose 6*o = -33*o + 780. Calculate the least common multiple of 30 and o.
60
Let t = 112 - 378. Calculate the common denominator of -50/11 and t/(-30) + (-5)/(-15).
55
Suppose 3*j = -0*j + 6. Suppose 3*l - 5*b + b - 11 = 0, -j = -2*b. What is the smallest common multiple of l and 9?
45
Let n = -120501/242080 + 25/1513. Find the common denominator of n and 71/140.
1120
Let m(u) = u**2 - 21*u + 136. What is the lowest common multiple of m(17) and 102?
204
Let k be -57 + ((-16)/4 - -1). Calculate the smallest common multiple of (-21)/(-12)*2*k/(-21) and 2.
10
Let t = 16 + -26. Calculate the common denominator of 27/t - 2/1 and (1157/104)/((-6)/(-8)).
30
Suppose 28 = 5*y - 2*t + t, 0 = y - 5*t + 4. Find the common denominator of 52/9 and y + -10 + 189/33.
99
Suppose 5*s - 16 - 14 = 0. What is the lowest common multiple of -3 + 28/8*s and 60?
180
Let a = -135088/7 - -1608253/84. Let m = 164 + a. Calculate the common denominator of m and 33/10.
60
Let y = -40147/18 + 2228. What is the common denominator of y and -23/63?
126
Let x be 2/3 - (-72)/54. Suppose -16 + 26 = x*o. What is the lowest common multiple of o and 8?
40
Suppose 3*i = -3 - 6. Let t = -1340509/250540 + 6/12527. Find the common denominator of t and (-118)/(-16) - (-2 - i).
40
Let b(w) = 4*w + 5. Let a be b(-2). Let n be 1 - 3/9*a. Suppose -4*r - 4*m = 12, 0 = r + 2*m + 6 + n. Calculate the smallest common multiple of r and 12.
12
Suppose -2 - 6 = -4*l, 2*n = 2*l. Suppose -3*j + 4*z + z = -4828, 0 = -2*j + n*z + 3224. Let t = -12947/8 + j. Calculate the common denominator of t and -55/8.
8
Let y be 18/4*(0 - -28). Let a = y + -214. What is the lowest common multiple of (5/(-20))/(2/a) and 8?
88
Let v be (-2)/(-2) - (5 - 8). Suppose 0*p + 6 = 3*w + 3*p, 0 = v*w - 4*p - 8. Let n = w + 4. Calculate the lowest common multiple of 6 and n.
6
Calculate the smallest common multiple of (-3 - (1 - 24))*(4 + -3) and 84.
420
Let f = 9/10226 - -444435/449944. Calculate the common denominator of f and -121/10.
440
Let c = 29390/9 + -3273. Calculate the common denominator of (-2182)/924 - 4/(-14) and c.
198
Let q(f) = -2*f**2 - 60*f - 22. Calculate the lowest common multiple of q(-28) and 108.
540
Let b = 93114731649596 + -112526545986056871485/1208472. Let h = b - -2/50353. What is the common denominator of 7/3 and h?
24
Let x be 30/8*(-8)/(-3). Let h = -225/76 + 50/57. What is the common denominator of h and (-5)/x + (-21)/20?
60
Suppose -13 = -5*b + 12, 2*a + 20 = -2*b. Suppose -3*w + 26 = 2*o + 8, 3*o + 5*w = 28. Calculate the least common multiple of 18 and (a/2)/(o/(-16)).
180
Suppose -905 = -q - 4220. Find the common denominator of 6613/q + (-2)/(-10) and ((-74)/24 - -3)/(2/532).
78
Let s = 32404 - 11017347/340. Find the common denominator of -61/30 and s.
1020
Suppose 3*y - 23 = 5*x, 0 = -5*y + 4*x + 13 + 8. Calculate the smallest common multiple of 835 and y.
835
Let o(d) = d**3 - 10*d**2 - 17*d - 19. Calculate the smallest common multiple of 13 and o(12).
65
Suppose -70 = -5*s + 4*d, 4*d - 102 = -5*s + 8. Suppose 0*f = f + 6. Calculate the common denominator of f and 15/s*-13*(-2)/5.
3
Suppose -5*a - 10 = -3*u + 24, 6 = -3*a. Let g(h) = -h**2 - 8 + 3*h**3 - h + u. Calculate the smallest common multiple of 8 and g(2).
72
Let r = 3/800 - -4717/800. Let k = 235/2 - 125. Calculate the common denominator of k and r.
10
Suppose -5*j + 64 = 3*k, -3*j = k + 3 - 27. Suppose -2*t - 57 - 23 = -4*r, -3*t + 100 = 5*r. What is the least common multiple of k and r/(-6)*(-3)/1?
90
Find the common denominator of 23/50 and (266/3045)/(4/6*-1).
1450
Suppose -5*i = 5*p - 2*i - 1, 0 = 3*p + 2*i. Let a be -1383 + -2*p/4. Let s = -8285/6 - a. Calculate the common denominator of 77/4 and s.
12
Suppose -3*r + 8*r = 3*f + 35, r = -2*f + 20. Suppose -r = p + 6. Calculate the least common multiple of 6 and 18 - (-3)/(12/p).
42
Let m = -32 - -13. Find the common denominator of -62/5 and 4 + -8 - m/(-7).
35
Let c = 494 - 200. Let u(r) = -r - 10. Let m be u(-8). Calculate the common denominator of 51/20 and c/(-9)*m/(-24).
180
Calculate the smallest common multiple of (-2)/(-6) - (6 + 122/(-3)) and 50.
350
Let j = -977 - -995. Calculate the smallest common multiple of j and 18.
18
Suppose -5*h + 3*n = -n - 40, 3*h - 5*n - 37 = 0. Suppose 4*l = -5*v - 200, h*v + 74 + 45 = 5*l. Find the common denominator of 13/9 and (-15)/(-20)*v/33.
99
Calculate the common denominator of 41/572 and (-10 - (-413)/42)*508/44.
1716
Let a = 513/290 - 2/29. Let r = 4738 - 28523/6. Find the common denominator of a and r.
30
Let y(z) = z**2 + 6*z + 8. Let d(b) = -b. Let l be d(0). Suppose -o + l*o = -8. Calculate the smallest common multiple of o and y(-6).
8
Suppose -5*q - 2*q + 14 = 0. Find the common denominator of (q - 33/18)*(-1 + 98) and 8/9.
18
Suppose -4*h + 4*n + 2358 = -854, 5*h - n = 4007. What is the common denominator of h/(-540) - (-2)/6 and 91/18?
180
Let b = -1637 - -2433. What is the least common multiple of b and 28?
5572
Let r(o) = -o**3 + 8*o**2 + 2*o - 12. Let p be r(8). Calculate the common denominator of 558/98 - 1 - p and -31/11.
539
Let u = 1/2424 + -93329/12120. Find the common denominator of u and ((-6)/16)/(1/10).
20
Let i = 55 + -25. Calculate the lowest common multiple of (-7 - 781/44)*(-8)/6 and i.
330
Suppose -10*r - 22*r = -832. What is the lowest common multiple of 2 and r?
26
Let t(m) = 4*m - 26. Let z(g) = 9*g - 51. Let k(o) = -7*t(o) + 3*z(o). Suppose -2*w + 5*w - 9 = 0. What is the least common multiple of k(19) and w?
30
Let p = -25814 + 2626. Let u = p + 417497/18. Find the common denominator of (50/64)/((-30)/180) and u.
144
Suppose 3*a = 4*a + 2, -3*a = 5*k - 234. What is the smallest common multiple of 160 and k?
480
Let z = -265307893333/3020 - -87850292. Let i = 52/151 - z. Let w = -2753/24 + 319/3. What is the common denominator of w and i?
40
Let c(n) = -2*n - 34. Let t be c(-18). Calculate the common denominator of -43/12 and ((-3)/t - -2) + 897/52.
12
Let r(p) = -2*p - p - 2*p**2 + 0*p - 5*p**2. Let l be r(-7). Find the common denominator of 8/(-20) - l/(-120) and -33/16.
48
Let y be ((-4932422)/(-108404))/(0/2 + 15). Let r = y - 2/81303. Calculate the common denominator of 59/12 and r.
60
Let n = -1564681/60 + 26080. Find the common denominator of n and ((-30)/(-2))/((-4)/(-6)*33).
660
Let w = 25419/10 + -2554. Let s be ((-44)/(-6))/(221/3). Let v = 9526/1989 + s. Calculate the common denominator of v and w.
90
Let l(c) = -c**3 - c + 2. Let f(k) = -3*k**3 + 0*k - 2*k + 2*k**2 + k**3. Let b be f(1). Calculate the smallest common multiple of l(b) and 6.
12
Let v = 4083/22 + -181. Let a = 5735 + -332619/58. Calculate the common denominator of v and a.
638
Let c = 3976 + -357941/90. Find the common denominator of c and -71/20.
180
Suppose 3*s - 150 = s. Let j = s - 65. What is the smallest common multiple of 12 and j?
60
Let z = 54 - 42. Suppose l - 6 - 21 = 0. What is the lowest common multiple of z and l?
108
Let i = 8 + -11. What is the common denominator of (-110)/(-12) - i/(-12) and 77/6?
12
Let p = 7383/4 + -1837. What is the common denominator of p and (-1 + 3/2)*-59?
4
Find the common denominator of -93/44 and ((-1)/4)/((-2)/(-131)*-85).
7480
Let m = -15611/14718 - 125/223. What is the common denominator of 3/(3/5)*(-48)/110 and m?
66
Let j(k) = -k**2 - 13*k + 143. Calculate the least common multiple of j(7) and 34.
102
Let h = 1222165/52 + -23505. Calculate the common denominator of (68/336)/((-3)/9) and h.
364
What is the common denominator of -3 + -1 + 440/24 and -56/517?
1551
Suppose -8 = 5*w - z + 4, 3*z + 9 = 0. Let l(a) = a**3 + 3*a**2 - a + 3. Calc