mmon denominator of (z/(-3))/(56/(-105)) and -103/20?
40
Let x(w) = w**3 - 6*w**2 + 5*w + 4. Let l be x(5). Suppose -3*m - 34 = q, -l*q - 5*m - 63 = -2*q. Calculate the least common multiple of 3 and 3/(-6)*(q + 1).
9
Suppose 2*l - 4*l - 402 = -5*q, -3*q = 3*l - 258. What is the common denominator of (-71)/(-2)*(-4 + q/20) and -61/34?
340
Suppose -m - 4*m - 5*d + 4810 = 0, 0 = -3*m + 4*d + 2851. Let t = m + -8683/9. Let l = -1254 + 3719/3. Find the common denominator of l and t.
9
Let t be 2/(-8) + 4/16. Let c be (-6)/18 + (-427)/(-21). Suppose c = 2*r - t. What is the least common multiple of r and 11?
110
Let f(u) = u**3 - 6*u**2 + 9*u + 7. What is the smallest common multiple of f(5) and 45?
135
Let o = -29 - -104. Let q = 135 - o. What is the lowest common multiple of 6 and q/(-16)*(-24)/9?
30
Suppose 3*s - 11 = -v, s = 4*s + 2*v - 7. Suppose 2 + 5 = 5*w + 2*j, -2*w + 7 = s*j. Calculate the smallest common multiple of w and 9.
9
Let b = 908 - 1767/2. Let i = 79 - 82. What is the common denominator of 72/(-4)*i/40 and b?
20
Suppose -1792 = -22*u + 6*u. Calculate the least common multiple of u and 32.
224
Calculate the common denominator of ((-38)/16 + 1)/((-80)/(-224)) and 430/84 - (-3 + 5).
420
Let q be (-6*6/9)/2. What is the common denominator of ((-4)/24)/(2 + 392/(-195)) and ((-20)/9)/(q/3)?
12
Suppose -4 + 1 = -n. Suppose i - n*i = 280. What is the common denominator of (-1)/(5/(i/12)) and -26?
3
Let j(n) be the first derivative of 2*n**3/3 - 3*n**2/2 - 11*n + 1. Let s be j(8). Find the common denominator of -7/5 and s/3*(-4)/12.
15
Let q = -3427/3 - -181715/159. Calculate the common denominator of q and -25/6.
318
Suppose -6*d + d = -110. Let o(i) be the second derivative of i**5/10 + i**4/12 - i**2 - 17*i. Calculate the least common multiple of d and o(2).
198
Suppose 2*t + 5*l - l - 282 = 0, 144 = t + 3*l. What is the least common multiple of 30 and t?
270
Suppose -2*f - 370 + 480 = 0. Calculate the least common multiple of f and 7.
385
Let m(s) = s**2 + 3*s - 10. Let o(r) = -5*r**2 - r + 4. Let y be o(-3). Let u = y - -48. Calculate the smallest common multiple of u and m(-7).
90
Let f = -250 + 505. Let a = -2187/4 + 8663/16. Calculate the common denominator of f/(-48) + 1 - 1 and a.
16
Suppose -4*d - 4*w + 0 = -8, d + 2*w - 2 = 0. Suppose 3*l = -0*m - d*m + 59, 4*l = -5*m + 130. Let k = 58 + -34. Calculate the least common multiple of m and k.
264
Let m(f) = -5*f**3 + 2*f - 1. Let c be m(-2). Let u = -30 + c. What is the lowest common multiple of 11 and u?
55
Suppose 3*o - o - 4 = -2*v, 5*v + 3*o = 6. What is the common denominator of 123/50 and ((-376)/(-12))/(-4 - v)?
150
Let h = 18 + -13. Suppose -h*u - 3 = -t - 4, 5*t - u = -101. Let c = 33 + t. What is the smallest common multiple of 60 and c?
60
Let o = 284 - 272. What is the least common multiple of 20 and o?
60
Let y(d) = -7*d + 1. Let o be y(-3). Suppose -o = -0*v - v. Find the common denominator of 25/3 and (v/8)/(11/(-198)).
6
Let b(p) = -41*p - 225. Calculate the least common multiple of b(-6) and 126.
126
Let h be ((-2)/(-12))/(4/112773). Let m = -4708 + h. Let q = -124033/20964 + -1/5241. Find the common denominator of m and q.
24
Let s be 4/(-6) - (-166)/60. Let i = s + -13/5. Let b = 37513/27780 + -1/2778. Calculate the common denominator of i and b.
20
Let w(z) = z**2 + 8*z + 7. Let p be w(-5). Let q = -8 + 15. What is the lowest common multiple of q and 10 - 4*(-2)/p?
63
Let n = 31 - 21. Suppose -2*h - 4*v = h - 9, -v = 3*h - 9. Suppose h*u = 4*u - n. What is the least common multiple of 22 and u?
110
What is the common denominator of 131/126 and ((15/243)/(-1))/((-144)/(-828))?
2268
Suppose -32 + 4 = -14*p. Suppose -3*m + 12 - 78 = -2*w, -p*w + 2*m = -66. What is the least common multiple of w and 3?
33
Let p = 1/101 - -3707/3030. Let m = 29/63 - -3013/252. What is the common denominator of p and m?
60
Suppose 30 = 5*j - 0*j. What is the smallest common multiple of j and 29/4 + 400/(-320)?
6
Let f be 189182/66 + (-3)/(-9). Suppose -4*b = -2*x - 11470, -5*x + 860 = -4*b + 12321. Let s = b - f. Find the common denominator of -32 and s.
11
Let k(i) = 7 + 8 - i + 1. What is the lowest common multiple of k(11) and 10?
10
Suppose -8*v + 6*v + 3*t + 52 = 0, -5*t - 20 = 0. What is the lowest common multiple of v and 12?
60
Let c(u) = u**2 - 20*u + 29. Let j = 79 - 60. What is the lowest common multiple of 52 and c(j)?
260
Let q = -140377/99684 - -3/3692. Let a = 301477/24 - 12558. Calculate the common denominator of a and q.
216
Let k(p) = p**3 - 4*p**2 + 3*p + 7. What is the least common multiple of k(3) and 10?
70
What is the common denominator of 74/12*(-6)/12 and ((-24)/(-160))/((-24)/(-10))?
48
Let j(n) = 231*n**2 - 2*n - 10. Let x be j(-7). Let v = 6809 - x. Let r = v - -45217/10. Find the common denominator of r and -5.
10
Let b(c) = c**3 - 4*c**2 - 3*c + 9. Let p be b(4). Let o = -5547 + 44301/8. Find the common denominator of (-93)/(-2)*p/(-72) + 0 and o.
16
Let m be 1 + (-305438)/(-66) + 14/(-21). Let p = m - 4624. Calculate the common denominator of 26/(-16) + (-1)/2 and p.
88
Suppose -4*j = 4730 + 6890. Let s = 17543/6 + j. Find the common denominator of s and (-245)/40 + (-8)/(-4).
24
Let j be ((-2)/(-8))/((-12)/(-96)). Calculate the least common multiple of 9 and 3/j*(-200)/(-12).
225
Let z = 20 - 14. Let c(t) = t**3 - 6*t**2 - 4*t - 7. Let b be c(7). Suppose -b = -k - k. What is the smallest common multiple of k and z?
42
Let x = -148 + 150. Suppose -2*q - 2*q + 38 = 3*z, -x*z + 3*q = 3. Calculate the least common multiple of z and 2/5 - 36/(-10).
12
Suppose -r - 2 = 2*r - 4*q, r = -2*q + 16. What is the smallest common multiple of 6 and 2*51/r + -1?
48
Let g = 257/118 - 2/177. Find the common denominator of g and ((-11)/13 + 1)/((-294)/735).
78
Suppose 0 = -y - c + 9, y + 3*c - 23 + 4 = 0. Let r be (y/(-6))/((-4)/(-12)). Calculate the common denominator of -27/7 and (-89)/((1 + 0)*r).
14
Let a(c) = c**3 + 10*c**2 + 2. Let u be a(-10). Suppose -u*h = -10 + 4. Suppose 0 = b - h*b + 12. Calculate the least common multiple of 10 and b.
30
Let y be ((-16)/20)/(4/(-690)). Let s = y - 131. What is the least common multiple of s and 3?
21
Let q(s) = -4*s**2 - 1. Let o be q(-3). Let n = o + 67. Find the common denominator of 1/2 and 9/(-27) + 76/n.
10
Let i(o) = -9*o - 4. Let w be i(-1). Suppose -w*t = -0*t - 10. What is the least common multiple of 4 and t?
4
Let u = -4/547 + -16933/3282. Find the common denominator of 73/20 and u.
60
Let w be 0 - (-5 - (1 - (-2 - 0))). Suppose -r - 46 = -5*j, 2*r + 5*j = -25 + w. Find the common denominator of 91/6 and r.
6
What is the common denominator of ((-2)/(-3 - (-41)/15))/4 and -9/2?
8
Find the common denominator of 28/9 and ((-588)/35 - -10)*4/6.
45
What is the least common multiple of (-554)/(-10) - (-2)/(-5) and (-12)/(-26) + (-129696)/(-2912)?
495
Find the common denominator of 756/(-224)*(-4)/285 and -7/342.
1710
Find the common denominator of 2/120 - (-10)/25 and -67/8.
24
Suppose 0 = -6*j + 30 + 438. Calculate the least common multiple of j and 7.
546
Calculate the common denominator of 7/(-4) - (-111)/296 and (-2)/11 + 2418/(-1584).
24
Suppose -2*v - 6*q + q = 19, -v - 2*q = 7. Calculate the least common multiple of 1*(v/1 + 0) and 15.
15
Let r = -14665/32616 - 37/1359. Calculate the common denominator of 91/4 and r.
216
Let v = -535/6 + 2137/24. Find the common denominator of 83/394 and v.
1576
Let o = 144 + -357. What is the common denominator of -47/8 and 1*(-5)/10 - o/(-12)?
8
Calculate the lowest common multiple of 22 and (-115)/(-8) - ((-525)/(-40))/35.
154
Let u = 392776541541575/8847769491 + -2964250043/67287. Let p = u - -2/131493. Let f = 994/3 - p. Find the common denominator of -43/11 and f.
99
Suppose s + 2*k + 1214 = 6*s, -3*s + 716 = 5*k. What is the least common multiple of 154 and s?
1694
Let a = -8938/497495 + 2/2117. Let z = a + 19043/470. Let l = 11/3 - 70/9. What is the common denominator of l and z?
18
Let h be 0*(4 + 45/(-12)). Calculate the common denominator of 89/4 and -2 + (-1 - h) + (-15)/14.
28
Let w(v) be the third derivative of v**6/120 + v**5/12 - 3*v**4/8 - 7*v**3/6 - 33*v**2. Calculate the smallest common multiple of w(-6) and 1.
11
Let b = 9 + -15. What is the lowest comm