f + 2*h, 0 = x*h - 10. Calculate the lowest common multiple of ((-2)/(-3))/(1/12) and f.
72
Suppose -3*w + 3*l = -45, 3*l = 5*w - l - 80. Find the common denominator of 67/9 and ((-38)/w)/((-4)/(-4)).
90
Let c(n) = -n**3 + 8*n**2 - 6*n + 2. Suppose 0 = 3*u + s - 25, -2*u - 4*s = -3*u - 9. What is the lowest common multiple of c(u) and 12?
36
Suppose 0 = 3*v - 3 - 0. Let j(u) be the second derivative of -u**3/6 - u**2/2 + u. Calculate the lowest common multiple of j(-6) and v.
5
Suppose -3 = 4*c - 3*s + 6, 5*c + 4*s = -50. Let q = 7 + c. Suppose 1 = -i + 2*d + 4, 2*i - 3*d - 5 = 0. Calculate the lowest common multiple of q and i.
1
Let w(j) = 2*j**2 - 9*j + 6. Let z be w(6). Let d be z - (-2)/4*0. Calculate the common denominator of -97/8 and 142/(-4)*(-3)/d.
16
Let s = -5/291 + -11585/3201. Calculate the common denominator of (-290)/12 + 4/(-6) and s.
66
Suppose 2*o - 4 = 6*o. Let g = 1 + o. Suppose g*u + 7 = u. What is the lowest common multiple of 9 and u?
63
Let k(s) = -s**2 - 4*s - 1. Let m be k(-2). Suppose 0 = -5*j + 5*x + 105, -m*x + 115 = 4*j + 24. What is the smallest common multiple of j and 12?
132
Let z be (4 - 12)*(-1)/4. Suppose -2*w - 36 = z*t, 5*w + 62 = -4*t - 12. Calculate the common denominator of (-46)/(-28) - 2/(-4) and t.
7
What is the common denominator of -32/5 and (-303)/(-44) + 3/(-12) - 2?
55
Suppose -4*z = 3*t - 2*t + 10, 1 = 2*t + z. Let j be (-21)/7*t/(-3). Suppose 0 = a - j*a + 10. What is the least common multiple of 20 and a?
20
Let v = 7 + -29. Let o = 557/2 + -297. Calculate the common denominator of o and (v/(-8))/((-7)/(-6)).
14
Let i be 8/10*(-260)/8. Suppose 0 = -3*h + 109 + 26. Find the common denominator of (i/(-3))/(96/h) and -61/20.
80
Let h(v) = 7*v**3 - v**2 + v - 1. Let k be h(1). Let y(r) = r**3 - 5*r**2 - 7*r + 3. Let m be y(k). Calculate the lowest common multiple of 9 and 66/9 + (-2)/m.
72
Let v(z) = z**3 - 7*z**2 + 12*z - 6. What is the least common multiple of v(5) and -1 - -1*(2 - 0)?
4
Let p = -9 - -17. What is the common denominator of 7/16 and 2 - 4 - (-162)/p?
16
What is the smallest common multiple of 9 and (-57)/(-6) - 2/4?
9
Let j = -3621/8 - -450. Calculate the common denominator of 4/10*655/(-24) and j.
24
Let r be (40/(-18) - -2)*-5574. Let y = -1253 + r. Calculate the common denominator of (4/3)/((-15)/40) and y.
9
Let h(t) = -t - 4. Let r(u) = -1. Let p(v) = h(v) + r(v). Let o be p(-4). Calculate the least common multiple of -1 + 8 - o/1 and 2.
8
Let i(d) = -8*d + 6. Let l be i(9). Let b(u) = u**2 - 6*u + 4. Let s be b(4). What is the common denominator of (3/4)/(s/l) and -23/2?
8
What is the common denominator of -4*(-175)/56*1/5 and 15/8?
8
Suppose 5*j - 4*m = 25, 4*j = 4*m + 5 + 15. Calculate the least common multiple of 5 and j.
5
Let t(d) = 5*d - 5. Let a be 86/18 - (-6)/27. Calculate the least common multiple of t(a) and (5 - 2)*40/6.
20
Let b = -3 + 69. Suppose -5*f - b = -5*q + q, -2*q + 48 = -4*f. Find the common denominator of (23/f)/(4/(-12)) and -107/6.
30
Let r(y) = -y**3 - y**2 + y - 6. Let h be r(0). Let k = h - -9. Find the common denominator of 3/5 and 2/k - 955/(-30).
10
Let w = -765/4 - -177. Calculate the common denominator of w and 0.
4
Suppose -3*t + a + 25 = 0, 0*a - a - 1 = 0. Calculate the least common multiple of t and 10.
40
Suppose 0 = -2*c - 2*c - 56. Let n be 24/16 + c/(-4). Suppose -3*x + 2*i + 114 = 0, -n*i = -2*i - 9. Find the common denominator of -31/3 and x.
3
Find the common denominator of 19/48 and (0 + -1)/((-54)/105).
144
Suppose h + 11 = 3*w - 4*w, -5*w - 75 = -5*h. Let y be (-21)/28*1*8. Let c = y - w. Calculate the lowest common multiple of c and 8.
56
Let y = 11 - 7. Suppose -5*s + y = -1. Let w(b) = b**3 - 16*b**2 + 27*b + 16. Calculate the smallest common multiple of s and w(14).
2
Let p = 807950276243/62534993304 + 1/91828184. Let d = 32/5171 - -282312/1173817. Let o = p + d. Find the common denominator of -145/6 and o.
6
Let x = 8297 + -182497/22. Find the common denominator of (4/(-10))/(72/(-50)) and x.
198
Suppose 0 = -x - 1, -4*y - 78 = -9*y + 3*x. Calculate the smallest common multiple of y and 9.
45
Let w be (-2)/(-8) - (-1)/(-4). Suppose w = 2*s - 4*s + 6. Suppose -v + 19 = -i - 0, -s*v = -i - 59. What is the smallest common multiple of v and 18?
180
Let i = -3354 + 13329/4. Find the common denominator of i and 1/6.
12
Suppose 0 = -4*s + 8*s - 36. What is the lowest common multiple of (9/6)/(s/6) and 4?
4
Let m(j) = j**2 + 4*j + 4. Let q be m(-9). Calculate the common denominator of -69/10 and 2/(-6)*(-357)/q.
70
Let v(s) = 33*s**2 - s - 1. Let l be v(-1). Suppose l = 5*g - 22. What is the least common multiple of 3/((0 + 1)*1) and g?
33
Let k = -22 - -12. Calculate the smallest common multiple of 3 and k/(2/(4/(-4))).
15
Let h = 8351580 + -167213533/20. Let o = 9102 + h. What is the common denominator of (-1010)/(-72) + (-2)/(-9) and o?
20
Suppose -2*j + 4*c = -36, 18 = 2*j - 0*j + 5*c. What is the smallest common multiple of j and 2?
14
Let b be (-1846)/7 - (3 - 2). Suppose 4*f + 2720 = -6*f. Let k = f - b. Find the common denominator of -39/7 and k.
7
Let z = -19 + 21. Suppose -z*j - 8 = -6*j. Calculate the least common multiple of j and 22.
22
Let u = 6749/5 + -1356. Let f be 2/4 + (-151)/294. Let w = -1343/1470 - f. Calculate the common denominator of w and u.
10
Let l be ((-686)/(-36))/((-1)/57). Let m = -1070 - l. What is the common denominator of 46 and m?
6
Find the common denominator of -20/7 and (-168)/(-348)*11/(-6).
609
Suppose -4*v + 2*k + 21 = 3*k, 2*k + 6 = 4*v. Suppose 0 = -2*f - 2*f + 4*h - 8, 5*f + v*h = 26. Calculate the lowest common multiple of 5 and f.
10
Suppose p = -3*p + 44. What is the lowest common multiple of (-2)/(-8) - (-31)/4 and p?
88
Let z be 1345/30 + 1/(-2). Let f = z - 53. Find the common denominator of f and 1/8.
24
Let n = -20 - -29. What is the lowest common multiple of n and 8?
72
Let a(f) = -17*f - 14. Let u be a(-6). Calculate the least common multiple of (u/2)/(6/3) and 22.
22
What is the common denominator of (-2 - (-59)/30)*(-169)/(-1) and 69/35?
210
Suppose -406 = -2*s + 6. What is the common denominator of 6/27 + s/(-36) and -71/2?
2
Let m be 26/6 + (-6)/(-9). Suppose 2*z - 4*n - n = 33, 35 = m*z - 3*n. Calculate the least common multiple of z and 5.
20
Suppose 31 = 4*x - 5. Calculate the lowest common multiple of 9 and x.
9
Let x = 2069/2 + -1006. What is the common denominator of x and -45/11?
22
Find the common denominator of ((-1349)/114)/((-10)/(-3)) and 97/168.
840
Find the common denominator of ((-78)/8)/((-10)/(-4)) and (-5)/(5/(25/(-6))).
30
Let n = -28 - -42. Suppose 4*m + 0*m = 4*r - 76, -5*m + 65 = 5*r. Calculate the lowest common multiple of n and r.
112
Suppose 0 = v + 4*f - 9 - 15, -3*v + 3*f + 57 = 0. What is the least common multiple of v and 11?
220
Let r = 90893192 - 56535580665/622. Let w = r - -1/311. Let o = -135 + 2711/20. Find the common denominator of o and w.
20
Let y = 31 - 24. What is the least common multiple of 1 and y?
7
Suppose 4 = -2*a + 2. Calculate the common denominator of 71/2 and (a/6)/((-2)/3).
4
Find the common denominator of 1/(324/1131) + -4 and 97/12.
108
What is the common denominator of (-233)/148 + (-8)/(-32) and 5/9?
333
Suppose -71 = -3*m + 2*m. What is the least common multiple of m and 4?
284
Let t(n) = n**3 - 7*n**2 + n - 5. Let x be t(7). Let i be x/3*15/(-10). What is the least common multiple of 2 and i/(3/12*-2)?
2
Calculate the common denominator of (-1)/5*(-3210)/(-144) and 2/(-4)*190/(-4).
24
Let v = -389/2 - -986/5. What is the common denominator of -73/16 and v?
80
Let r = 14 + -7. Let b(m) = -3*m + 6. Let w(o) = -10*o + 17. Let y(a) = 7*b(a) - 2*w(a). What is the lowest common multiple of y(r) and 6?
6
Let s = 3 + -2. Suppose z = -c - 4*z - 12, 4*z = -16. Calculate the smallest common multiple of 2*5*(s + 1) and c.
40
Suppose -5*s = -12 + 2. Suppose -s*i = -4*i + 18. What is the lowest common multiple of 4 and i?
36
Suppose 5*v + 6 = k, 5*k + 2*v - 25 - 32 = 0. Let u = 34 - 28. Calculate the lowest common multiple of k and u.
66
What is the common denominator of 0 - 5/((-105)/(-44)) and 64/75?
525
Let t = 5/1441 - 93745/23056. What is the common denominator of -1*(-370)/(-36) + -9 + 12 and t?
144
Suppose 2*x = -5*