**2 + 7*f - 2. Let h be n(-6). What is the smallest common multiple of (-5)/(3 - -2)*h and 3?
24
Suppose 0 = -5*n + 295 - 75. Suppose -48 = n*u - 46*u. Calculate the lowest common multiple of u and 18.
72
What is the common denominator of (-111)/30*((-15)/6 - -5) and -87/22?
44
Suppose -4*u - 5*p + 149 + 68 = 0, -p + 101 = 2*u. What is the smallest common multiple of u and 120?
240
Let b(i) = 23*i**2 - 7*i - 10. Let n be b(-2). What is the least common multiple of 8 and (10/4 - 2)/(6/n)?
8
Let z = 4120 + -230607/56. Calculate the common denominator of 13/14 and z.
56
What is the common denominator of (-62)/(-70)*-40*15/(-960) and 101/42?
168
Suppose 6*a - 7*a = -70. Suppose -2*x = a + 46. Calculate the common denominator of x/(-24)*40/(-4) and -97/2.
6
Suppose 4*v = -4*n + 96, -n = 4*v - 13 - 11. Let b(u) = -2*u**2 - 14*u + 264. Calculate the lowest common multiple of n and b(8).
24
Suppose -6*c = 13*c - 342. Calculate the lowest common multiple of c and 24.
72
Suppose i - 23 - 4 = 0. Calculate the lowest common multiple of ((-20)/30)/((-1)/18) and i.
108
Suppose 0 = 2*n + 3*n + 90. Let y = 17 + n. Find the common denominator of (y/(-2))/(8/120) and -51/4.
4
Let j = -397149001/55812 + 1172/4651. Let x = 7106 + j. Find the common denominator of -19/2 and x.
12
What is the common denominator of -59/10 and 15/25 - (-5)/30?
30
Let b(y) = -2*y + 30. Let m be b(15). Calculate the smallest common multiple of 5 and 9 - m/(12/3).
45
Let l = -4003869165677/5302 - -755162043. Let b = l - 24/241. Calculate the common denominator of (-1874)/252 - 4/14 and b.
198
Suppose 0 = -5*z - 3*o + 10, 0 = -0*z + 4*z + 2*o - 8. Calculate the smallest common multiple of 10/(-15)*(-13 + 1) and z.
8
Let b(f) = -1. Let t(o) = 2*o - 2. Let h(r) = 6*b(r) - t(r). Calculate the lowest common multiple of h(-3) and 3/(1 - (-3)/6).
2
What is the smallest common multiple of 76 and (9 - 3 - -6) + -8?
76
Let z be 30/5 - 3 - 14/(-2). Find the common denominator of -86/21 and 4/z - (-603)/(-270).
42
Let z = 3256 + -91247/28. Find the common denominator of 29/77 and z.
308
Let q = -23 - -33. Suppose -3*a = -u - 26, 2*a - 19 = u - 2*u. Let y = a - -9. Calculate the lowest common multiple of q and y.
90
Let d = -149659/440 + 3750/11. Calculate the common denominator of 11/2*29/696 and d.
240
Calculate the common denominator of (4779/(-21))/(-9)*1/(-9) and 28/3.
21
Suppose -2*z + z + 688 = 0. Suppose -z - 502 = -g. Calculate the common denominator of ((-2)/(-10))/((-12)/g) and -137/12.
12
Suppose 2*t = 27 - 3. Let v = -19 - -74. Suppose 3*i + v = 8*i. What is the lowest common multiple of t and i?
132
Let z be (59308/42)/(60/665). Let x = z - 15643. What is the common denominator of 67/33 and x?
198
Let p = 5995/9 - 666. Calculate the common denominator of p and -19/63.
63
Suppose -329*w + 2*s + 136 = -325*w, w + 3*s - 48 = 0. What is the least common multiple of w and 90?
180
Let m be -1 + 1/2*(-11 + 13). Suppose -2*a + 21 = a - 4*t, -2*t = m. Calculate the lowest common multiple of 32 and a.
224
Suppose -5*x = -5*s - 0*x + 20, -5*s + 22 = -4*x. Find the common denominator of 71/3 and (-247)/(-209)*(1 + (-2)/s).
33
Let r = 113701/12 - 9483. Calculate the common denominator of 58/(-120)*(-27)/(-3) and r.
60
Let y(r) = 21*r + 777. Calculate the lowest common multiple of 378 and y(-17).
3780
Suppose -4056 = -5*u + 3724. What is the common denominator of 1 - 3 - 52/(-8) and u/144 - (-4)/(-18)?
12
Let s(w) be the second derivative of -w**5/20 - w**4/4 + 5*w**3/6 + w**2/2 + 6*w. Let h be s(-4). Let t = 6 - h. What is the lowest common multiple of 5 and t?
45
Let p be ((-26)/4)/(1/(-2)). Suppose 5*j - p - 2 = 0. Calculate the least common multiple of j and 9/(-2)*-1*2.
9
Suppose -5*s = -0*s - 30. Suppose 0 = -0*h + 4*h - 8. Suppose b + 0*v - 18 = 4*v, 0 = -h*b + 5*v + 36. What is the least common multiple of b and s?
18
Suppose -4*b - 1430 = b. What is the common denominator of 5/6*b/30 and -83/21?
126
Suppose 3 + 11 = q. Suppose -35*j - 5*o = -34*j - 7, -4*j + 13 = 5*o. What is the smallest common multiple of j and q?
14
Let f(z) = 2*z**2 - 28*z + 78. What is the lowest common multiple of (3/(-2))/((-9)/156) and f(11)?
156
Let u(h) = -16*h - 520. Calculate the lowest common multiple of u(-34) and 28.
168
Let x(v) = -5*v**3 + 2*v + 1. Calculate the least common multiple of 18 - (1 - (-4 - -9)) and x(-1).
44
Let t = 45460 + -4500487/99. Calculate the common denominator of t and 89/6.
198
Let r = 9586 + -76789/8. Find the common denominator of 154/(-12)*(-3)/(-2) and r.
8
Let n(r) = -2*r**2 + 13*r**2 + 5*r + 6 - 10*r**2. What is the lowest common multiple of (-4)/(-2)*(-56)/(-16) and n(-5)?
42
Let u(d) = -d. Let l be u(0). Suppose -o - 2*o = l. Suppose -3*v + 4*v - 2 = o. Calculate the least common multiple of v and 14.
14
Let x be (-11)/(-22)*1/(2/12). What is the lowest common multiple of (-2 - x)/((4 - 3)/(-2)) and 10?
10
Suppose 0 = 2*v - 2*r - 2*r, 4*v - 11 = -3*r. Suppose -31 = -2*q - j + 2*j, 4*j - 56 = -v*q. What is the smallest common multiple of q and 22?
198
Let u be 0/(6/(-2) - -2). Let k = u + 3. What is the smallest common multiple of (-36)/15*(1 + -6) and k?
12
What is the common denominator of ((-4)/(-2))/(252/(-329)) and 71/18?
18
Suppose 0 = -y - 1 - 1. Let i be (-652)/(-3240) + y/10. Let w = i - -1336/405. What is the common denominator of 14 and w?
10
Let y = -982/7 + 9286/63. Let t = -366/5 + 429/5. What is the common denominator of y and t?
45
Suppose 6*w - 2 = 2*u + 3*w, -5*u - 14 = -3*w. Let t be 7 + 2/u*6. Calculate the common denominator of -43/10 and 1 - (-42)/t - 2.
10
Let g(q) = q**3 - q - 4. Let n(s) = -9*s + 60. Let k(o) = 3*o - 20. Let i(t) = 7*k(t) + 2*n(t). Calculate the lowest common multiple of g(3) and i(10).
20
Let h(o) be the second derivative of o**5/10 + o**4/2 - 4*o**3/3 + o**2 - 40*o. What is the smallest common multiple of h(-4) and 8?
8
Suppose -3*z - 4*p + 162 = -8*z, -26 = z - 4*p. Let x be 9/6 + 1751/(-1167). Let n = 29761/5835 + x. What is the common denominator of n and z?
10
Let x = -75 + 79. Suppose -x*h = 1 - 49. What is the least common multiple of h and 16?
48
Let g(v) = v**2 + 17*v + 6. Let h = 4 - 21. Calculate the smallest common multiple of g(h) and 5 + -3 - 0/(-2).
6
Suppose -35 = -2*m - 5*n, m + n - 17 + 7 = 0. Let o = 9534 + -9514. Calculate the least common multiple of o and m.
20
Let q = 31 + -47. Let v(f) = 2*f + 36. What is the least common multiple of v(q) and 20?
20
Let t = 8/19573 - 2408119/1565840. Calculate the common denominator of t and -107/90.
720
Suppose 2*q - 10*q = 0. Let k = q + 2. Let r = 34 + -24. What is the least common multiple of r and k?
10
Calculate the common denominator of 29/288 and (-60)/10 - (-3)/(27/76).
288
Suppose 252 = -12*i + 19*i. What is the smallest common multiple of 24 and i?
72
Suppose 5*z - 49 = -2*w, 0 = w + 3*z - 2*z - 26. Calculate the lowest common multiple of 21 and w.
189
Let v(t) = -47*t + 3*t**2 - 4*t**2 - 5 + 61*t + 2. Let g be v(15). Let z = -14 - g. Calculate the smallest common multiple of z and 6.
12
Suppose -68*d = -25*d - 215. What is the least common multiple of d and 18*((-3)/2 - -2)?
45
Suppose 92 = 2*p + 8*m, -5*p + 12 = -3*m - 80. Let x(s) = s**2 - 2*s - 4. What is the lowest common multiple of p and x(4)?
44
Let h(m) = m**2 - m - 8. Let y be h(4). Suppose 3*c + 2*c - 30 = 0. Calculate the least common multiple of 2*1*2/y and c.
6
Let p(a) = -a**2 - 26*a - 10. What is the lowest common multiple of 14 and p(-6)?
770
Suppose -5*g + 3 = -2*g. Find the common denominator of 0 + g - 1547/68 and 115/6.
12
Let h = 20 - 18. Let j = 80 - 72. Calculate the smallest common multiple of h and j.
8
Let s(w) = -w**3 - 7*w**2 + 5. Let b be s(-7). Let j = 1 + b. What is the least common multiple of (-1 - -11)/2 + -1 and j?
12
What is the common denominator of (-489)/(-90) + (16/3 - 5) and -143/70?
210
Let b = 253 + -2251/9. Find the common denominator of 240/14*(-2)/6 and b.
63
Suppose -8 = -4*m - 5*p + p, -3*p + 6 = -4*m. Let g = 62 - 57. Suppose 47 + m = 3*h + g*z, -2*h + 33 = 5*z. What is the smallest common multiple of 12 and h?
84
Let k be (-1)/3 + (-1190)/30. Let b = 88 + k. Suppose 2*g - 5*r - 24 = 0, -4*g - r + b = 3*r. Calculate the least common multiple of g and 14.
84
Let j 