. What is the least common multiple of t(8) and 4?
20
Suppose -3*v + 185 = 2. Suppose -4*c = a - v, -2*c = 3*c + a - 75. What is the least common multiple of c and 0 + -1 - 0 - -7?
42
Suppose -66 = -2*r - 3*o, -o + 79 = 3*r - 20. Calculate the lowest common multiple of 8 and r.
264
Let t = 2565 + -30809/12. Let y(q) = q**2 + 8*q + 3. Let i be y(-8). What is the common denominator of 1 + (i - (-260)/(-8)) and t?
12
Suppose -62*a + 1007 + 1597 = 0. Calculate the least common multiple of 303 and a.
4242
Let a(q) be the second derivative of -q**5/20 + q**4/3 + 5*q**2/2 + 3*q. Calculate the least common multiple of a(4) and 9.
45
Suppose -5*y - 36 = y. Let f(o) = o**2 - o + 2. Calculate the least common multiple of 16/y*(-1 - 5) and f(-4).
176
Suppose 4*c = c + 3*q + 27, 5*c - 2*q = 48. Suppose 2*x = u + 30 - 23, 3*x - 4*u - 3 = 0. What is the least common multiple of x and c?
10
Suppose 0 = -6*q + 2*q + 40. Suppose -2*b - 15*n + 14 = -16*n, -2 = n. Calculate the smallest common multiple of q and b.
30
Let g(z) = -z**2 + 10*z + 4. Suppose -l + 20 = -6*l. Let r = l - -13. What is the lowest common multiple of r and g(10)?
36
Suppose -w - 2 = -0*w, -4*i + 8 = 2*w. Calculate the common denominator of -7/10 and ((-78)/(-4))/i - 0.
10
What is the lowest common multiple of 1*91*1 - (-2 - 3) and 10?
480
Suppose 3*b = -1127 - 1540. Let q = b - -10751/12. Find the common denominator of q and -55/8.
24
Let y(i) = -i**3 - 2*i - 2. Let z(u) = -u + 4. Suppose -2*f - f - 12 = 0. What is the lowest common multiple of z(f) and y(-2)?
40
Let s = -6805/2 - -3475. Let a = s - 629/10. Let k = 30311/9 - 3364. What is the common denominator of a and k?
45
Suppose t - 6 = -w - 0, -3*t + 2*w = -8. Let g be ((-9)/(-6))/1*t. Calculate the least common multiple of 8 and (42/35)/(g/20).
8
Find the common denominator of (-45)/90*(-55)/(-12) and 62/135.
1080
Let o = -932/23 - -15373/414. What is the common denominator of o and -3/4?
36
Find the common denominator of 76/27 and 200/(-192) + 2 + (-32)/12.
216
Suppose 5*f + p = 52, p + 8 = 5*f - 4*f. Suppose -27 - 13 = -5*b - 5*r, -24 = -3*b + 3*r. What is the least common multiple of f and b?
40
Let b(x) = -26*x - 152. Calculate the lowest common multiple of 72 and b(-6).
72
Let h = 9/16 + -281/144. Let u = h - -233/90. Let b = 7267/4 + -1796. Find the common denominator of u and b.
20
Let p(x) = -3*x - 5. Let m be p(-6). Let c = 4 - -6. Let q = m - c. What is the lowest common multiple of 7 and q?
21
Let q(a) = -a**3 + 8*a**2 + 2*a - 11. Let c be q(8). Suppose c*s - 24 - 6 = 0. Calculate the smallest common multiple of 2 and s.
6
Let i be -1*25*-1 + 1. Let s(v) = -v**2 + 24*v - 63. Let j be s(21). Suppose j = -2*d + 2*p + 14, -d - p = d - i. What is the least common multiple of 6 and d?
66
Let z be 2 - (-3 + -4 + -2). Let d(x) = 4*x**2 + x + 4. Let n be d(-3). Find the common denominator of 10/9 and 1*n*z/110.
90
Let t be (10/30)/((-2)/(-102)). Suppose -s + t = 3*m, -m + 0*m = -3*s + 31. What is the lowest common multiple of s/1 - (-3 + 3) and 1?
11
Let w be 0/(3/(-4 + 1)). Suppose w = -n + 22 + 34. Suppose n = 8*x - 4*x. Calculate the least common multiple of 4 and x.
28
Suppose 4*p = 3*c - 387, -p - p = -3*c + 387. What is the lowest common multiple of 4 and c?
516
Let f be (-16)/(6 - 4)*1. Find the common denominator of -37/4 and f/(-24)*546/(-88).
44
What is the least common multiple of 1*(15 + 5)*(-4)/(-10) and 887?
7096
Let b be -40*(4 - 80/25). Let o = -12 - b. Calculate the smallest common multiple of o and 12.
60
Let h be (20/8 + -3)*-148. Suppose 9*k + h = 236. Calculate the least common multiple of k and 14.
126
Suppose -t = 3*s - 89, -2*t + 5*t - 81 = -3*s. Let u = s - 25. Calculate the common denominator of (-22)/u*(-3 + 2) and -10.
3
Suppose 8 = 8*b - 4*b. Suppose -17 = -3*c + b*p + 3*p, 0 = -3*c + 4*p + 19. Calculate the least common multiple of c and 18.
18
Let m = 404 + -383. What is the least common multiple of 28 and m?
84
Let g = 9 - 15. Calculate the common denominator of 41/20 and (-127)/g - 1/(-3).
20
Find the common denominator of 3 + 15/(-5) + (-3)/16 and 91/16.
16
Let b(v) be the second derivative of v**5/20 + v**4/6 + v**3/6 - 9*v. Calculate the lowest common multiple of 12 and b(2).
36
Suppose 526 = 17*n + 9*n - 176. Suppose 4*y - 9 = 7. Calculate the smallest common multiple of y and n.
108
Let z(c) = -41*c**3 - c**2. Let j be z(-1). Suppose 0 = 3*g - 2*g, 5*p + 3*g = j. What is the least common multiple of 2 and p?
8
Let a(o) = 3*o + 4. Let c be a(5). Let v(z) = -z**3 - 8*z**2 + 9*z - 5. Let k be v(-9). Calculate the lowest common multiple of 12 and c/1 + 4 + k.
36
Suppose 2*f = -705 + 741. Calculate the smallest common multiple of 7 and f.
126
Suppose -2*w + 11 = i, -3*w - 3*i + i + 17 = 0. Suppose -5*h - w*u = -65, -4*u - 20 = -5*h - 0*h. What is the smallest common multiple of 3*10/(-6) - -14 and h?
72
Let s be (-435)/(-9)*16/(-360). Let q = -2111/216 - s. Calculate the common denominator of q and 99/10.
40
Let j(o) = -3*o - 5. Suppose 4*p = 4*a + 108, -3*a + 71 = -6*a + 5*p. What is the least common multiple of 4/12 + a/(-12) and j(-5)?
30
Suppose 0 = 2*r + f - 61, r = -4*r - 4*f + 154. What is the smallest common multiple of r and 30?
30
Let m = 325970537/312 + -1044787. Let r = m + 98/39. What is the common denominator of r and 19/12?
24
Suppose 10 = -b + 2*b - h, -5*b + 54 = -h. Suppose -7 = -2*s + 3. Suppose 0 = -s*f - 5, 3*f - b - 16 = -5*v. Calculate the lowest common multiple of 14 and v.
42
Let z = 1123341 + -12367365/11. Let d be 4/(-16) - 3857/(-4). Let m = z + d. Find the common denominator of 27/8 and m.
88
Find the common denominator of (-4 - 327/(-90)) + (-11 - -16) and -17/6.
30
Suppose 244*p = 230*p + 784. What is the least common multiple of 88 and p?
616
Suppose -12*y + 9*y + 6 = 0. Suppose 5*l + 4*s - 24 = -0*l, 2*l + y*s - 10 = 0. Suppose 28 = -2*r + l*r. Calculate the least common multiple of r and 2.
14
Let h(j) = -j**2 + 7*j. Suppose 4*f = -32 + 40. Suppose 20 = f*g - 60. What is the least common multiple of h(4) and g?
120
Let i = 32 - 29. Suppose -c - i*a = -6*c + 50, -2*a - 40 = -4*c. Calculate the smallest common multiple of 26 and c.
130
Let c be 1*2 - (-5941)/(-13). Let k = -1800661/435314 - -2/19787. What is the common denominator of (1/20)/((-4)/c) and k?
176
Suppose -f - j + 9 = 0, 0*f = 5*f + j - 65. Calculate the common denominator of -45/4 and (26/(-6))/(f/63).
4
Let o = -68 - -31. Let n = 66 + o. Let g = n - 11. Calculate the smallest common multiple of 6 and g.
18
Let b be (1 - 148/144)*(728243 - 1). Let z = b - -20221. Find the common denominator of z and -107/12.
36
Calculate the common denominator of ((-321)/(-50))/(((-72)/(-5))/12) and (-8)/(-12)*546/8.
20
Let z = -60171/10 - -6012. Let n = -1/263 - 2878/3945. Let w = n + z. Find the common denominator of -61/2 and w.
6
Suppose 182 = 2*r + 5*d, -2*d - 340 = -7*r + 3*r. Suppose 10 + 6 = 2*a. Calculate the smallest common multiple of r and a.
344
Let m(t) = t**3 + 15*t**2 - 17*t - 25. Let p be m(-13). Calculate the common denominator of -17/12 and p/(-140) - 17/(-170).
84
Suppose 0 = 4*j - 195 + 187. Calculate the lowest common multiple of j and 772.
772
Suppose -5*x = -4*x - 2. Calculate the least common multiple of (-54)/(-7) + (-4)/(-14) and x.
8
Let k = 2 + -3. Let a(q) = -9*q**3 + 2*q**2 - 1. Calculate the smallest common multiple of 13 + -8 + 1 - (2 - 2) and a(k).
30
Let m(d) = 2*d**2 + 3*d + 2. Let w(i) = 2*i**3 - 49*i**2 - 10*i - 354. Calculate the least common multiple of m(-3) and w(25).
231
Let i = 40/1217509 + -6804710161/1593719281. Let x = i + -3/187. Find the common denominator of x and ((-13)/(-2))/((-5)/7).
70
Let l = 616 - 500. What is the smallest common multiple of l and 10?
580
Let z = 2/651 + -31903/1302. What is the common denominator of 6 - 1770/(-4)*(-28)/1540 and z?
22
Let b(k) = -51*k**2 + 9*k + 9. Let p(s) = 26*s**2 - 5*s - 5. Let u(q) = 4*b(q) + 7*p(q). What is the common denominator of 7/9 and u(-1)?
9
Let z = -245 - -255. Calculate the least common multiple of 24 and z.
120
Let h = 63 - 61. What is the smallest common multiple of h and 12?
12
Let i be ((-192)/18)/((-4)/6). Suppose 2*x - 12 = -x + 4*h, 31 = 2*x + 5*h. What is the lowest common multiple of (-2 + 5)/(6/i) and