= 5*t - q, -t + 3*q = -33. What is the least common multiple of r and t?
54
Let g = -8127 - -8141. Let k = 65 - 41. What is the least common multiple of g and k?
168
Let t = -27932 + 1759774/63. Find the common denominator of -31/21 and t.
63
Let s(d) = -d + 14. What is the least common multiple of s(5) and 11?
99
Let k = -723 - -2873/4. Find the common denominator of 46/15 and k.
60
Let r(m) = -127*m - 3. Let n be r(-2). Suppose 5*p = -h + 593, 3*p = p - 5*h + n. What is the common denominator of p/(-18) + (-18)/81 and -53/13?
117
Suppose 108*j - 36*j - 3888 = 0. What is the lowest common multiple of 24 and j?
216
Let y = 18337/8 - 2298. Let m be 22437/78750 + 2/(-7). Let i = m - 71243/8750. Find the common denominator of y and i.
56
Suppose -7 = -4*b + 1. Suppose 3*y + 15 = 0, 2*s - b*y = 5*s + 1. What is the smallest common multiple of s and (-1 + -1)*5/(-2)?
15
Let u(z) = 32*z + 1. Let a be u(-1). Let b = a + 65. What is the common denominator of (0 - b)/(56/(-21)) and 151/6?
12
Suppose 4*u + 10 = 2*g, 3*g - 3*u = 8*g - 12. Calculate the lowest common multiple of g and 147.
147
Let v(o) = -o**3 - 3*o**2 + 7*o - 5. What is the least common multiple of 75 and v(-5)?
150
Suppose a + y = 4*y - 18, -a - 8 = -y. Calculate the common denominator of (73/6 + 2 + -2)/a and 11/4.
36
Let k(c) = c + 19. Suppose 44 = -4*z - 4. What is the least common multiple of 5 and k(z)?
35
Find the common denominator of (4 + 688/(-160))/(36/(-95)) and -39/28.
168
Calculate the common denominator of ((-207)/216)/(6/9) and -5/56.
112
Let q = -530728301/18 + 29493783. Let b = q + -8874. Find the common denominator of 10/3 and b.
18
Suppose 3*u + 276528 = 4*r - 3*r, 5*r - 92176 = u. Let y = u - -272536/3. Let m = y - -1319. What is the common denominator of m and 8/11?
33
Let a be -109*3*(-1 + -26). Suppose u - a = 4*u. Let d = 14658/5 + u. Calculate the common denominator of d and 23/8.
40
Suppose 2090 = -a + f, -13*a - 3*f = -17*a - 8364. Let l = a + 12595/6. Find the common denominator of l and -69/2.
6
Let n = -13146455/99 + 132802. Let j be 1014/176 + (-9)/72. Let u = j - n. Calculate the common denominator of u and 39/4.
36
Suppose 0 = t - 4. Suppose 4*f - 18 = 3*w - 4*w, -3*w - 10 = -t*f. Calculate the common denominator of w/(-7) - (-4132)/(-336) and 93/8.
24
Suppose 4*s - 2*q = -0*q + 54, -5*s = -q - 66. Suppose -s*p + 9*p = -32. What is the smallest common multiple of p and 15?
120
Let z(w) = w**3 + 6*w**2 + w - 15. Calculate the smallest common multiple of z(-5) and 3.
15
Let t be (565 - 6/3)/(-2). Let u = t - -1093/4. What is the common denominator of (-123)/(-18) - (-2)/(-6) and u?
4
Let x(p) = p**2 - 4*p - 19. Let k be x(9). Let v = 17 + -12. Suppose 5*l - k = 4*c, -v*c = -2*c - 3. Calculate the smallest common multiple of l and 12.
12
Let l = 1 + 2. Suppose 3 = f + 5*h, 0*f - 2*h + 22 = l*f. Let a = 7 - -2. What is the smallest common multiple of f and a?
72
Suppose t = 6*t - 640. Calculate the common denominator of 3 + t/(-27) + 2 + -2 and -58/15.
135
Let v = 9868315/126 + -78319. Find the common denominator of 37/5 and v.
630
What is the lowest common multiple of (34 - 2)/(((-15)/(-5))/18) and 44?
2112
Let x = 57 + -21. Let t = x + -35. What is the smallest common multiple of 10 and (-260)/(-120) + t/(-6)?
10
Let y = -13 + 18. Suppose y = -2*d + 1. Calculate the least common multiple of -1 - d/((-6)/(-51)) and 6.
48
Let j = 25 - 22. Suppose 5*c = -d - d - 26, c = -j*d. Calculate the common denominator of -36/5 and c.
5
Let n = 861 + -768. Calculate the least common multiple of n and 27.
837
Let a(y) = 108*y + 330. Suppose -3*l - 5 = 1. What is the least common multiple of a(-3) and ((-1)/l)/((-3)/(-36))?
6
Let r = -16 - -26. Calculate the lowest common multiple of 20*8*(-4)/(-80) and r.
40
Let o = 13 - -35. Let w be (-2)/12 + (-520)/o. Calculate the common denominator of -24/11 and (-218)/72 - w/44.
99
Suppose 54 + 234 = 16*q. Let h = 24 + -14. Calculate the smallest common multiple of q and ((-1)/(-2))/(h/160).
72
Let v(o) = 9*o - 5. Let g be v(2). What is the common denominator of -23/14 and 1/4*g/((-715)/210)?
154
Suppose -5*d - x - 438 = 0, 0*d - 78 = d + 5*x. Let r = 345/4 + d. Find the common denominator of r and (348/45)/(32/(-80)).
12
Suppose 0 = 4*y - 12, 5*a - a = -5*y + 207. Let c = 172/45 + -1451/90. Calculate the common denominator of c and 215/a - (-48)/36.
80
Let k be ((-36)/48)/((-2)/8). Let p = 3 + -1. Calculate the smallest common multiple of p and k/(1/((-40)/(-12))).
10
Let f = 13 - 13. What is the least common multiple of 8 and 15 - ((4 - f) + -3)?
56
Let m = 15660 - 78743/5. Let d = 779764 - 35085658/45. Let y = d + m. Calculate the common denominator of 63/8 and y.
72
Calculate the common denominator of ((-213)/2)/(2 + -35) and (4/608)/(5/940).
418
Let j = -33411179/308 - -108478. Calculate the common denominator of j and -33/56.
616
Suppose 2*t - 18 = 4. Suppose 9 + t = 4*y. Suppose 3*r + 0*r = -4*w + 63, -w + 33 = -y*r. Calculate the lowest common multiple of 10 and w.
90
Let z be (-36)/(-5) - (-1)/(-5). Let w be (-4)/(-6)*(4 - z). Calculate the common denominator of 28/3 and (-5646)/(-180) + w/(-15).
6
What is the common denominator of (-7139)/2772 - 1/(-9) and 93/20?
140
Let s be -10 + -1 + 1 + 0. Let i be 0/((-6)/3 - -1). Let n = i - s. What is the least common multiple of n and 8?
40
Let y(g) = g**3 - 8*g**2 + 6*g - 3. Let p be y(7). Calculate the least common multiple of 10 and 10/(-25) + (-164)/p.
80
Suppose p = 4*b + 12, -7 = p + b - 29. Calculate the smallest common multiple of p and 74.
740
Let j be (57/(-9) - -3)*3. Let c(q) = q - 3*q + q - 4. What is the least common multiple of 6 and c(j)?
6
Let b = 31 - -48. Suppose -2*v - 19 + b = 0. Suppose -v*w + 32*w = 20. Calculate the least common multiple of w and 22.
110
Let p(v) = -5*v + 26. Calculate the least common multiple of p(4) and 6.
6
Suppose -155 = -4*h - 2*m + 137, -363 = -5*h - 2*m. Suppose -2*v + 2*z = -h - 27, 221 = 5*v + 3*z. What is the smallest common multiple of 12 and v?
276
Find the common denominator of (534/(-885))/((-28)/35) and 115/14.
826
Let r = 3549/463 + 2/1389. Let c = -24 + 26. What is the common denominator of r and c/4 + 332/(-56)?
21
Find the common denominator of (462/(-192))/(2/2) and (-955)/420 + (-6)/42.
96
Suppose 15*j - 18*j = -l + 21, 4*j - 50 = -3*l. Calculate the smallest common multiple of l and 5.
90
Let v = -6102934/111 + 54982. What is the common denominator of 32/45 and v?
1665
Suppose 5*d = -20, p + 17 = -3*d - 2*d. Suppose -1976 = 4*r - 2*v, 0*v - 1473 = p*r + 3*v. Find the common denominator of 9/8 and r/40 + 1/5.
8
Suppose -5*m + 2 = 3*b, -2*m + 7*m + b + 6 = 0. Let j be ((-98)/35)/(m/10). What is the common denominator of -101/18 and ((-11)/j)/((-36)/(-42))?
36
Let q = 2715/7 - 383. Let s = -967/15 + 65. What is the common denominator of q and s?
105
Let c(k) be the second derivative of -k**3/6 + 4*k**2 - 2*k. Let x(l) = 1. Let h(m) = 2*c(m) - 2*x(m). What is the smallest common multiple of 18 and h(5)?
36
Calculate the common denominator of 17*1/(-15)*-1 and (3 - 533/198)*-1*3.
330
Suppose 0*c - 61 = -4*c + 5*f, -5*c = -5*f - 80. Suppose 33 = 22*u - c*u. What is the least common multiple of u and 8?
88
Suppose -2*j - 1 = v - 2*v, -4*j - 5 = -5*v. Find the common denominator of 172/(-28)*(j - 3/(-6)) and -99/92.
644
Let w = -70 + 72. Calculate the common denominator of 61/24 and 1 + w/(1/(23/(-12))).
24
Let l(u) = -2*u**2 + 11*u + 2. Let s be l(5). Let y(a) = -a**3 + 5*a**2 + 13*a + 14. Calculate the least common multiple of y(s) and ((-4)/10)/((-2)/40).
56
Find the common denominator of -23/40 and ((504/(-45))/8)/(64/10).
160
Suppose -10*j = 67 - 247. What is the common denominator of -3 - (-2)/(j/(-11)) and -19/85?
765
Let m = -10 - -14. Let a = 8 + -6. What is the lowest common multiple of a and m?
4
Suppose m = -3*c - m + 22, 5*c + 5*m = 30. Let n(a) = -a**3 + 12*a**2 + 17*a - 22. Let i = -88 - -101. Calculate the smallest common multiple of n(i) and c.
30
Suppose 18*x = g + 21*x - 121, 4*g - 5*x = 433. What is the least common multiple of 56 and g?
112
Suppose 0 = -2*h - 2 + 18. Let p be 0/(7/((-42)/(-18))). Suppose -5*r + 7*r - 4*c - 6 = p, -45 = -3*r - 3*c. What is the least common multiple of r and h?
88
Let 