 4*f = -5*m - 20, 0*f = -2*f. Let w(c) = c**3 + 2*c**2 - 3*c + 2. What is the least common multiple of w(-3) and 10/m*(-48)/30?
4
Calculate the common denominator of (7638/12)/19 - 12/(-4) and -1*2/68*56.
34
Suppose 0 = 10*m - 14*m + 96. Let g = m + -62. Calculate the lowest common multiple of 95/g*16/(-10) and 6.
12
What is the common denominator of 75/82 and (-2 + (-38)/(-24))*(-7336)/(-280)?
492
Let u be (1*(0 + -1))/(-1*1). Find the common denominator of ((-252)/(-12))/((-22 + 0)*u) and 23/22.
22
Find the common denominator of 4/56 - 70/2352*568 and (-10)/8 - 4/6.
12
Let f = -2 + 8. Let h = f + -7. What is the lowest common multiple of h/(-1 + 6/9) and 4?
12
Let m = 71417/18 + -3964. Suppose 3*i + 28 = -4*a, -2 = -3*i + 5*a + 6. What is the common denominator of m and i/(-2) - 175/(-154)?
198
Calculate the common denominator of 125/12 and (-1442)/(-328) - (14 + 0 + -10).
492
Let o(k) = 42*k - 27. What is the least common multiple of o(3) and 45?
495
Let s(r) = -2*r**3 - 2*r**2 - r. Let x be s(-1). Suppose -h - n - 10 - x = 0, -3*h + 4*n = 12. Calculate the common denominator of 251/(-12) + 2/h and 57/8.
24
Suppose 2*u - 5*u = 144. Calculate the common denominator of 1*(-165)/u + -4 and -133/12.
48
Suppose 4*w + 16 = -2*z - 466, 2*w + 5*z = -229. Let i = w - -140. Calculate the lowest common multiple of i and 10.
90
Let k = 4780 + -85999/18. What is the common denominator of k and 79/122?
1098
Suppose 3*k + 2*z = -16, -18 = 4*k + 2*z + 2. Calculate the smallest common multiple of (k/7)/((-40)/700) and 2.
10
Let k be (6/(-4))/((-7)/14). Suppose -k*j - 2*j = -30. Calculate the least common multiple of ((-8)/j)/(10/(-15)) and 10.
10
Let y = 401959/10910 - -62/1091. Let a = y - 37. Calculate the common denominator of a and -59/9.
90
Let p = 15337/72 - 1988/9. Find the common denominator of 2587/624 - (-1)/6 and p.
16
Let d = -156 - -222. What is the lowest common multiple of d and 12?
132
Let o = 264719/330 + -8872/11. Find the common denominator of o and -26/33.
330
Suppose 5*t - 50 = -4*v + 30, 0 = 3*t. Let s = -1 - -6. What is the smallest common multiple of s and v?
20
Calculate the lowest common multiple of 2 and (-107)/(-7) - 10/35.
30
Let t = 4 + -2. Calculate the common denominator of ((-38)/6)/(4/t) and 138/(-184) - (-2)/((-32)/41).
48
Suppose -3 = -3*s, -w - s + 14 = -20. Calculate the lowest common multiple of 21 and w.
231
Let v(s) = 12*s + 25. Calculate the smallest common multiple of v(-2) and 7.
7
Let c(l) = -l - 1. Let i be c(-4). What is the common denominator of i/(-4) + 250/(-24) and (-24)/9 - 0/(-2)?
6
Let t = -332/583 + -5055201/4081. Let h(s) = 415*s - 2. Let q be h(3). Let p = t + q. What is the common denominator of p and 7/8?
56
Suppose -7*b + 201 = -135. What is the least common multiple of 16 and b?
48
Suppose -3*o - 57 = -2*j - 0*j, -4*j - o + 107 = 0. Suppose r - 5*l = 38, r + 2*l - 4*l = 44. Calculate the common denominator of j + -1*(0 - -2) and r.
1
Let o = 26 + 64. Calculate the smallest common multiple of 105 and o.
630
Suppose -4*t + 4*s + 2 = -18, 3*s + 17 = 4*t. What is the smallest common multiple of 1138 and t?
1138
Let r = -96783/10 + 9687. Suppose 0 = 4*g - g - 12, -32 = 3*w - 5*g. What is the common denominator of r and (1 + 1)*87/w?
10
Suppose 177*v - 157*v - 360 = 0. Calculate the least common multiple of v and 100.
900
Let v(d) = -d**3 + 6*d**2 + 8*d - 3. Let q be v(7). Suppose -q + 3 = u. Calculate the common denominator of (-68)/18 + u/6 and 73/22.
198
Let f = -2448 - -447985/183. Let y = -6533/1098 + f. Calculate the common denominator of -67/14 and y.
126
Let b = -229249/78 - -2939. What is the common denominator of b and 79/6?
78
Let j(w) = 19*w - 55. What is the smallest common multiple of j(3) and 38?
38
Suppose 17*j - 28 = 244. Let n(z) = 2*z + 6. Let m be n(7). Let d = m + -10. Calculate the smallest common multiple of d and j.
80
Let b(z) = -4*z + 26. Let y(w) = -w**3 - 4*w**2 + 6 + 0*w**3 - 2. Calculate the smallest common multiple of b(5) and y(-4).
12
Let w(h) = -h**3 - 10*h**2 - 3*h - 8. Suppose 2 = 2*y - 14. Suppose 4*d - 80 = -y. What is the least common multiple of d and w(-10)?
198
Let p = -2921 + 17617/6. What is the common denominator of p and 77/36?
36
Let t(z) = z**3 - 5*z**2 - 8*z + 24. Calculate the smallest common multiple of t(6) and 6.
12
Let y = -2162 - -2378. Calculate the smallest common multiple of 72 and y.
216
Let h = -444349/91366 + -1/4153. Find the common denominator of (1624/(-160) - 5) + 4/10 and h.
44
Suppose 0 = 19*l - 16*l - 12. Suppose -3*a - 2*k + 17 = -1, 2*a = -l*k + 4. Calculate the lowest common multiple of a and 11.
88
Let j(z) = -z**3 - 2*z**2 + 3*z + 3. Let q be j(-3). Let k(v) = 9*v - 4. Let l be k(q). What is the lowest common multiple of 8 and 8/20*(l - -2)?
40
Let h = -8826 + 211787/24. Find the common denominator of h and -7/99.
792
Let c be -3 + (1 - (-20)/4). Let j = 15 - c. Calculate the smallest common multiple of 36 and j.
36
Let o(j) = j**2 - 7*j + 3. Let h(z) = -7*z**2 - 46*z + 9. Calculate the least common multiple of h(-6) and o(9).
231
Let p = -10582 + 4067. Let u = p - -65099/10. Calculate the common denominator of -71/10 and u.
10
Let a(y) = 5*y - 7. Suppose -5*r = 3*o + 2*o - 15, -3*o = -5*r - 25. What is the least common multiple of (-7)/(-21)*(-18)/(-1) and a(o)?
18
Suppose -3*a - 3 = -6. Calculate the common denominator of (-395)/(-110) - 3/a and 4/10 - 381/(-10).
22
Let c = -4446/833 - -89/17. What is the common denominator of -27/5 and c?
245
Suppose -3*z + 81 = 9. Suppose 12 + z = 3*t. Calculate the smallest common multiple of 4 and t.
12
Suppose z + 40 = 6*z. Let w(x) = 6*x - 2. Suppose -2*m + 0*m - 4*b + 26 = 0, -2*m - b = -11. What is the least common multiple of z and w(m)?
16
Let k = 3108103/156 - 236290/13. Let b = 1743 - k. What is the common denominator of b and -7/12?
12
Let m = 13333/4 - 3351. Let r = 58/27 + -2227/270. What is the common denominator of r and m?
20
Let c(o) = -4*o - 1. Let s be c(-1). Suppose s*m = -3*b + 54, 0 = 2*m - 4*b - 34 - 26. Suppose r = 4*r - 24. Calculate the least common multiple of r and m.
88
Let u(p) = p**2 + 15*p - 43. Let m be u(-19). Suppose 0 = -3*d - 3*w - 8 + 41, -2*w = 3*d - m. Calculate the least common multiple of d and 10.
110
Let m = -12308 - -270715/22. What is the common denominator of m and -29/12?
132
Let j be 1*8/20*542. Let h = -9047/40 + j. Find the common denominator of 2/(-8) - 114/(-20) and h.
40
Calculate the common denominator of ((-1)/(-6))/((-16)/558) and 37/4.
16
Let v = 7893/280 + -823/30. What is the common denominator of v and 95/12?
168
Let a be 198/76 - (10 + -7). Let s = a + 505/76. What is the common denominator of s and -29/18?
36
Let y(s) = -s**2 - 10*s - 2. Let a be y(-10). What is the least common multiple of 6 and (-1 - -19)/((-4)/a)?
18
Find the common denominator of -2 + -4*76/(-480) and ((-20)/14 - -2)/((-594)/(-154)).
270
Let s be 3 + 4/27992*-20997. Let i = 396579846278722/227435 - 8718531576/5. Let u = i + s. What is the common denominator of 57/8 and u?
104
Let a(l) = -2*l**3 - 3*l**2 - 6*l - 10. What is the smallest common multiple of 93 and a(-2)?
186
Let p(u) = -u**2 - 9*u + 8. Let t be 0*((-2)/(-4))/(-1). Suppose 0 = -2*r + w - 11, 5*r + 3*w + 5 + 50 = t. Calculate the lowest common multiple of 20 and p(r).
80
Let q = -1094 - -1132. What is the lowest common multiple of 18 and q?
342
Suppose 0 = -0*c - 3*c + 30. Let t = 276 + -272. What is the smallest common multiple of c and t?
20
Let m = 695 - 679. What is the lowest common multiple of 28 and m?
112
Suppose s = -2*b - 15, 9*b - 11*b + s - 21 = 0. Find the common denominator of -151/18 and 15/(-40)*103/b.
72
Let b = -1108756/51 + 21739. Calculate the common denominator of -71/3 and b.
51
Suppose 16*l + 64 = 12*l. Find the common denominator of 2 + (324/l)/1 and -1 + -1 + (-14)/(-68).
68
Suppose 2*m - 5*m = 765. Calculate the common denominator of (28/6)/(200/m) and -19/10.
20
Suppose 2*s - 13852 = 2*o, s - 34600 = -4*s - o. Let m = 242281/35 - s. Find the common denominator of 29/20 and m.
140
Let m(d) be the second derivative of 19*d**3/6 - d**2 - 12*d. Calculate the lowest common multiple of m(2) and 18.
36
Let o be 2336/(-14) - (-8 + 6). Let g = -14401/84 - o. Find the common den