 19 = -3*t + y, y = -3*t - 51. Calculate the common denominator of (-669)/36 + 4/t and -127/6.
6
Let v(a) = -6*a - 3. Let r be v(1). What is the least common multiple of -5 + 2 + (-2 - r) and 5?
20
Let o = -22 - 9. Let b(d) = d**2 - 11*d - 98. Let z be b(-6). Calculate the lowest common multiple of z/(-12) - o/3 and 32.
160
What is the common denominator of (344/(-576))/((-2)/(32/12)) and 17/9?
54
Let l(z) = -9 - 1 + 2 - z. Let c be l(-8). Suppose 0 = 4*h - 8, 2*q + 3*h + 2*h - 38 = c. What is the smallest common multiple of q and 6?
42
Let u = 45947 + -4135163/90. Calculate the common denominator of 107/36 and u.
180
Let j = 93 - 77. What is the lowest common multiple of 17 and j?
272
Let z be (-9)/(-6) - (-15)/6. Suppose 2*p - 28 = -z*l, p - 13 + 7 = -4*l. Calculate the lowest common multiple of 106 and p.
1166
Let i = 3 - -10. Suppose i*v + 48 = 17*v. What is the smallest common multiple of 44 and v?
132
Let h(d) = d**2 + 4*d - 6. Let p be h(-6). Let f(z) = z**2 - 5*z - 2. Let k be f(p). Suppose k*m - 66 = m. Calculate the lowest common multiple of 14 and m.
154
Suppose v = -2*m - v + 8, -v - 12 = -m. Suppose 3*t + 82 = 124. What is the smallest common multiple of t and m?
56
What is the common denominator of -103/18 and -7 + 3 + 1130/60?
18
Let d = -49/2 + 195/4. What is the common denominator of 131/510 and d?
1020
Let c(u) = -u + 12. Suppose 3*b - 25 = -5*a, -2*a + 5*b + 7 + 3 = 0. Let o(r) = -r + 7. Calculate the least common multiple of o(a) and c(5).
14
What is the least common multiple of 24494/407 + 2/22*-2 and 66?
660
Let q(b) = -b**3 - 44*b**2 + 45*b + 15. Calculate the least common multiple of q(-45) and 546.
2730
Suppose -3*t + 5*b = -206, 0 = -4*t - 0*t + 2*b + 298. Calculate the lowest common multiple of 121 and t.
847
Let w be (98069/1)/((-36)/(-9)). Let g = 24309 - w. Let n = g + 231. Find the common denominator of n and 9/4.
4
Suppose 7*f = 598 + 32141. Let x = 74791/16 - f. What is the common denominator of -11/7 and x?
112
Let m(n) = -988*n**2 - 9*n + 1. Let y be m(3). What is the common denominator of (1 - 7/5) + y/(-2520) and -71/9?
36
Calculate the common denominator of 48/77 and (-2 + 9)/((6 - 7) + -7).
616
Let z = -1/424 - -24595/1272. Calculate the common denominator of 58/45 and z.
45
Let v(i) = i**3 - 2*i**2 - 2*i + 3. Let g be v(3). Suppose 0 = -2*z + 8, -g*j + 177 = -3*j + 3*z. What is the common denominator of 33/j - (-82)/10 and 51/2?
10
Let z(h) = 4*h + 5. Let u be z(-2). Let j = u + 3. Suppose 2*g = -j*g + 6. What is the smallest common multiple of g and 10?
30
Let h(n) = -6*n - 2. Let g(u) = -u. Let w(j) = 5*g(j) - h(j). Let i be w(3). What is the common denominator of (-1296)/128 + -1 + i and -7/4?
8
What is the common denominator of (-40)/48*(-69)/7 and 143/42?
42
Let h = 8629/6 + -1429. What is the common denominator of h and 70/9?
18
Let w(r) = 3*r**2 + 4*r - 6. Calculate the smallest common multiple of w(-9) and 9.
603
Let h = -96 - -91. Let x = -3874/5 + 23549/30. Find the common denominator of ((-62)/h)/(192/120) and x.
12
Let w be 2/3 - (-84138)/(-9). Let h = w + 149477/16. Let j = 4104 + -81999/20. What is the common denominator of j and h?
80
Suppose -1 = -2*d + 3. Let n(g) = 4*g - 4. Let w be n(5). Suppose -d*i + 2*a - w = -2*a, -4*i + 13 = a. What is the least common multiple of 1 and i?
2
Calculate the common denominator of 83/15 and (6/36*-3)/((-63)/(-86)).
315
What is the common denominator of 1*-10*12/42 and -26/7?
7
Let q(w) = -6*w**2 + 19*w + 3. Suppose g = -3*g + 36. What is the lowest common multiple of g and q(3)?
18
Let p = 176 + -161. What is the lowest common multiple of p and 45?
45
Let k be 208/91 + 2/(-7). Suppose -k*y = -5*y - 1944. Calculate the common denominator of 17/20 and (y/84)/(20/(-21)).
20
Let x(c) = -c**3 + c**2 - 4*c - 5. Let a be x(-2). Suppose 3*h - 40 = -5*f, -4*h + a = 2*f - 29. What is the smallest common multiple of 27 and h?
270
Let d(b) = -b**3 - 13*b**2 + 14*b - 12. Let z be d(-14). Find the common denominator of -25/13 and 56*(-4)/z - 0.
39
Find the common denominator of (72/13)/(-13 - -3) and 68/3.
195
Let g = -9 - -11. Suppose -3*x + g*z + 23 = 0, 38 = 3*x - 0*x + z. What is the least common multiple of x and 2/(-3) - (-23)/3?
77
Suppose 48 = 3*y + 3*v - 183, 191 = 3*y - 5*v. What is the lowest common multiple of y and 72?
72
Let x = -2662869451/1685 + 1580336. Let g = 114880983/13480 + x. Let u = g + -8508. Calculate the common denominator of 139/6 and u.
24
Calculate the common denominator of -19/49 and (27/(-30))/((-48)/(-192)).
245
Calculate the common denominator of ((-2)/(-8))/(66/(-737)) and 65/33.
264
Suppose -r = 2*b - 4*b - 9, -5*r + 12 = b. Suppose 4*w = w + 87. Calculate the least common multiple of w and r.
87
Let z(y) = 3*y**3 + 3*y**2 - 4*y - 4. Let l be z(4). Let a be 554/l*(-554)/120. Let u = a - -1/1650. Calculate the common denominator of u and -111/14.
56
Calculate the common denominator of (((-215)/(-2))/5)/1 and 97/14 - 8/(8/4).
14
Let l = -2/19245549 + 83788705223/577366470. Let m = 1334/9 - l. Find the common denominator of m and 429/54 + (-2)/(-9).
30
Suppose -4*h = -h + 45. What is the least common multiple of -8*((-10)/h + (-15)/9) and 30?
120
Let b(z) = 20 - 31 - 48 - 4*z. What is the smallest common multiple of b(-20) and 33?
231
Let z = -942790858289/47955140 + -42/2397757. Let t = z + 19664. What is the common denominator of t and -47/20?
20
Let u = -40457/14 - -2896. Let o be (-3)/23661*10*-2258. Let t = 1/1434 + o. What is the common denominator of u and t?
154
Suppose 0 = 3*q + 7 - 1. Calculate the common denominator of 1 - (3 - (-74)/8) and (122/(-16)*-2)/q.
8
Let h = -1713 - -1769. What is the least common multiple of h and 280?
280
Let w = -55 - 143. Find the common denominator of 23/11 and (w/(-104))/((-6)/(-4)).
286
Let y(z) = 4*z - 21. Let g be y(7). Calculate the common denominator of (g/910)/(8/(-770)) and 113/20.
520
Suppose 0 = -3*x + x - 448. Find the common denominator of (x/48)/((-10)/27) and -17/15.
15
Let t = 1923349/688464 + -1/32784. Let x = t - 40/21. What is the common denominator of x and 34?
9
Let q be 869/(-99) + (-4)/18. Let b be (4 + -3)/(1/q). Let o = b + 14. Calculate the smallest common multiple of o and 1.
5
Let p be -1 + (6/(-3) - -11). Suppose p = -4*v + 80. Suppose 0*f = -4*f + 4, u = 5*f + 13. Calculate the smallest common multiple of v and u.
18
Let x = 15279 + -9510. Let s be -3*2/22*21137. Let g = s + x. What is the common denominator of -50 and g?
11
Let i be (-924)/(6*3/(-24)). What is the common denominator of (66/i)/(1/116) and 93/4?
28
Let m(d) = d**2 - 6*d + 6. Let t(a) = -6*a - 7. Let p be t(5). Let b = -15 - p. Calculate the least common multiple of m(8) and b.
22
Let z = 0 - 7/9. Find the common denominator of (-16)/22*(-30)/(-8) and z.
99
Let v(d) = -6 - 5*d**3 + 8*d + 10*d**3 - 4*d**3 - 5*d**2. What is the smallest common multiple of 10 and v(4)?
10
Let b be -1 - 2 - 76/(-4). Suppose 2*s + b = -0*s. Calculate the smallest common multiple of (-1 - -3)*(14 + s) and 6.
12
Let c = -129 - -201. What is the smallest common multiple of c and 4?
72
What is the lowest common multiple of 6 and (-6)/((-42)/21 + (-26)/(-14))?
42
Let j(s) = -2*s - 5. Suppose 24*l - 12*l = -324. Let v(q) = -q - 22. What is the smallest common multiple of v(l) and j(-5)?
5
Let t(a) = a**2 - 9*a + 27. Let g be t(5). What is the common denominator of (5 - 0)*(-2)/16 and 1 - g*14/8?
8
What is the common denominator of -67/24 and (-92)/672 + 4/8?
168
What is the common denominator of (-6)/(-18)*47*6/(-112) and -17/84?
168
Let z(r) = 10*r - 2. Let u(m) be the first derivative of -m**2 + 12*m - 29. What is the lowest common multiple of z(2) and u(-2)?
144
Let m be -6 + 1 + 1 + 1. What is the common denominator of m/(-24)*-87 + -1 and (2 - 7/4)*190?
8
Let d = 26 - 4. Suppose 0 = -b + 5*b - 28. Suppose -4*o + b*o - 55 = -h, h = o - 25. Calculate the least common multiple of o and d.
220
Let t(z) = 15*z**2 - 7*z - 2. Calculate the lowest common multiple of t(-2) and 24.
72
Let p = 315/8 - 545/24. Calculate the common denominator of p and 115/56.
168
Suppose 2*l - 4*p - 158 = 0, -4*p - 380 = -5*l + 3. Calculate the smallest common multiple of 3 and l.
75
Let g(t) = -15*t**3 + t**2 + 32*t + 30. Suppose 0 = -5*i - 1