80
Let c(t) = -t**3 - 5*t**2 + 3. Let p be c(-5). Suppose k - 40 = -2*w + p, 26 = w + 2*k. What is the least common multiple of (110/w)/(1/4) and 22?
22
Let q(f) = f**2 + f + 1. Let l(j) = -j**3 - 13*j**2 + 24*j + 23. Let s(x) = l(x) - 5*q(x). What is the lowest common multiple of 36 and s(-19)?
36
Let u(f) = -5*f - 21. Suppose 4*i - 42 = 7*i. Let p(h) = -2*h - 10. Let k(g) = i*p(g) + 6*u(g). What is the smallest common multiple of 4 and k(5)?
4
Let o = -16728 + 150539/9. Let l(t) = -t**3 - 5*t**2 - 5*t - 1. Let i be l(-6). Calculate the common denominator of (1 - i/(-18)) + 0 and o.
18
Suppose -8618 = 17*a - 48*a. Calculate the smallest common multiple of a and 16.
2224
Let h = -23 - -28. Suppose 5*u + 5*c - 25 = 0, 4*c - c - 19 = -h*u. Suppose 0 = 3*g + u*g - 5*j, 3*j + 5 = 4*g. Calculate the lowest common multiple of 8 and g.
40
Suppose 2 = 3*z - z. Let q = 9 + z. Let a(w) = 2*w**3 - 4*w**2 - w + 5. What is the smallest common multiple of q and a(3)?
20
Suppose 0 = -v - v + 8. Let q(f) = 17 + 2*f - 7 + v. Calculate the least common multiple of 18 and q(-6).
18
Let y be (10/4)/5*10. Let w be (2/(-4)*0)/3. Suppose w*a - 40 = -y*a. What is the least common multiple of 3 and a?
24
Suppose -o = -1 + 8. Let a = 10070/11 + -919. What is the common denominator of a and (43/o)/((-30)/21)?
110
Let b be 28/(-3)*(-36)/7. Suppose 0 = -5*k + 2*k + b. What is the lowest common multiple of 10 and k?
80
Let n = -1253 + 12493/10. Find the common denominator of n and 17/4.
20
Suppose -v + 6 = 5*v. Let r = -20 + 21. What is the lowest common multiple of v and r?
1
Let n be (-28)/8 + 1/2. Find the common denominator of 2/n - (-64)/18 and -3 - (399/(-35))/1.
45
Let m = 1304440856550 - 237264747396187913/181890. Let o = -1/18189 + m. Let a = -6214/969 + -5/1292. What is the common denominator of a and o?
60
Let k(m) = -2*m - 2. Let l be k(-3). Let s(c) = -c**2 + 0 + 4*c + 2 + c. Calculate the lowest common multiple of s(l) and 4.
12
Let n = 106 - 18. Calculate the smallest common multiple of n and 36.
792
Let y(j) = -j**3 - 4*j**2 - 16*j - 28. Calculate the least common multiple of 44 and y(-6).
1540
Suppose 4*k = -3*v + 6652, -4*v = -0*v + 4*k - 8864. Let t = v + -22167/10. Find the common denominator of -55/6 and t.
30
Let j = 1/6138 - -291551/24552. Find the common denominator of -25/424 and j.
424
What is the lowest common multiple of 192 and (-12730)/(-399) + 10/105?
192
Let r(d) = 10*d - 17. Suppose -5*n + 41 = -4*o, n - 5*n + 4*o + 36 = 0. What is the smallest common multiple of r(n) and 3?
33
Let x = -24769/4 - -6186. Find the common denominator of 2 + (-58)/14 + 2 and x.
28
Let r = -2371428 - -19034247/8. Let i = 7863 - r. Find the common denominator of (7735/(-30))/13 + (-2)/6 and i.
24
Let c(l) = l**2 + 7*l - 4. Suppose -5*v = 5*h - 60, 9*v - 13*v = h - 12. Calculate the lowest common multiple of c(-8) and h.
12
What is the common denominator of (-399)/(-36) - (-1)/(-4) and (948/(-30)*(-120)/(-96))/(1*-1)?
6
Suppose 0 = 4*m - 2*m - 10. Let w be 4/6 + (-44)/(-6). Suppose -d + q = -w, 0*d + 40 = m*d + 5*q. Calculate the least common multiple of d and 4.
8
Let r(n) = n**2 + n - 12. Suppose 0 = -2*g + g + 4. Calculate the smallest common multiple of 31 and r(g).
248
Let y(a) = 7*a + 9. Let i be y(-2). Let g(k) = -8*k - 18. What is the smallest common multiple of g(i) and 70?
770
Let j(l) = 19*l + 29. What is the lowest common multiple of 143 and j(6)?
143
Suppose -6*q + 89 - 5 = 0. Calculate the least common multiple of q and 19.
266
Let j = -275 - -283. Calculate the smallest common multiple of -4*6/(12/(-5)) and j.
40
Let w = 22/1113 - -13945/1484. Find the common denominator of 69/38 and w.
228
Let l(p) = -30*p**3 - p**2 - 2*p - 1. Let m(w) = 18*w**2 - w + 1. What is the least common multiple of l(-1) and m(1)?
90
Suppose 6*c - 14 = 4*c. Suppose -220 = -4*b - c*b. What is the smallest common multiple of 132 and b?
660
Let m(f) = -f + 4. Let u(q) = -24*q - 14. Calculate the least common multiple of u(-1) and m(-5).
90
Let f(o) = o**3 + 2*o**2 + 2*o. Let w be f(-2). Let z = w - -9. What is the lowest common multiple of 1 and z?
5
Let f = 3 + 3. Let i(w) = -w + 2. Calculate the smallest common multiple of f and i(-5).
42
Let a(q) = 7*q**2 + 31*q. Calculate the least common multiple of 84 and a(-7).
252
Suppose 2*a - 4 - 8 = 0. What is the common denominator of (24/(-10))/(84/270) and 122/12 - (-3)/a?
21
Calculate the common denominator of 97/80 and (-1)/(480/(-2286)) + -5.
80
Calculate the common denominator of -5 - (-395)/(-2)*(-29)/580 and 69/64.
64
Let t be 8/(6/7 + -1). Suppose 65*r - 66*r = 0. What is the common denominator of 1/(t/236) + r and 43/2?
14
What is the common denominator of 145/24 and (-5)/(-235)*(-9)/36?
1128
Suppose -3*p = -34 - 26. Suppose -3*l - 4*u + 64 + 3 = 0, 0 = -4*u - p. Find the common denominator of ((-36)/40)/((-6)/l) and 3/52.
260
Let q = -88 - -109. Calculate the least common multiple of q and 3.
21
Suppose 0 = -18*f + 22*f - 27596. Let t = 466878/77 + -1997445/154. Let n = f + t. Calculate the common denominator of 77/4 and n.
28
Let r(v) = 9*v. Let l be r(3). Suppose -3*c = 180 - 198. Calculate the smallest common multiple of 3/(l/6)*15 and c.
30
Let d = -18 + 26. Suppose 7*x - d*x = -4. Suppose -3*p - 2*z + 13 = -0, -2*z - 22 = -x*p. Calculate the lowest common multiple of 5 and p.
5
Let i be ((-30)/4)/((-18)/274). Let r = i + -277/3. Find the common denominator of (-147)/(-9) - (-3)/(-2) and r.
6
Let x be 2/(-8) - (-1407)/(-132). Let a = -142835 + 6285055/44. Let k = a + x. Find the common denominator of k and 30/11.
44
Suppose 18 = o - 8. Let j(a) = -a**2 + 19*a - 18. What is the lowest common multiple of j(17) and o?
208
Let j(h) = 2*h**2 + 3*h + 4. What is the smallest common multiple of j(-1) and 45?
45
Let l(y) = -13*y**2 + 706*y**3 + y + 21*y + 8 - 705*y**3. What is the smallest common multiple of l(11) and 3?
24
Let q be (93/4)/(((-45)/40)/(-3)). Let a = 80 - q. Calculate the smallest common multiple of 2 and a.
18
Suppose -5*v - 3*f + 6*f = -735, -v - f = -155. What is the least common multiple of 20 and v?
300
Suppose -5*d = 112 - 42. Find the common denominator of 102/(-4)*4/(-42) and ((-66)/8)/(d/8).
7
Let x be (9/3)/(-1*(-4)/20). Suppose 0 = 2*c + 1 - x. Let m = 6 - -5. Calculate the least common multiple of m and c.
77
Let p = -15 + 27. Suppose x = 4*x - p. What is the lowest common multiple of x and 2/(-4) + (-672)/(-64)?
20
Suppose r - 9 + 8 = q, -5*q = -2*r - 7. Suppose -3*y + w + 6 = 0, 0 = -3*y + y + 4*w + 14. Calculate the least common multiple of r and y.
4
What is the least common multiple of -96*(-1 - (-1 - -1)) and (-39)/572*-11 - (-39)/12?
96
Let w = 2/3475 + 211943/55600. Let p(a) = a**3 - 2*a**2 - 6. Let t be p(3). What is the common denominator of w and (-660)/(-56) + (4 - t - 5)?
112
Let v = 1973/28 + -72. Find the common denominator of (-402)/(-20) + -149 + 140 and v.
140
Suppose 3*q + 19 = 4, -4*p = 2*q - 22. Suppose 2*y - 6 = -v, 4*v - 9 = 3*v - y. Suppose -15*m = -v*m - 21. Calculate the smallest common multiple of p and m.
56
Let s(m) = 2*m**2 + 9*m + 2. Let f = 28 + -30. What is the smallest common multiple of ((-12)/(-4) + f)*16 and s(-6)?
80
Let x be (-3)/((-2)/304*-3). Let v = 286 + x. Calculate the common denominator of (-2 - v/(-4)) + -3 and -38/9.
18
Let b = 13970/7 + -2000. Find the common denominator of b and -1/758.
5306
Suppose 0*h - 44 = -5*s + 2*h, -4*s + 4*h + 28 = 0. What is the least common multiple of s and (8 + -5)/(-15)*-55?
110
Let m be 8/2 - -2 - 0. Calculate the least common multiple of (8/m)/((-1)/(-12)) and 18/4 + 2/(-4).
16
Let g(h) = h**3 - 7*h**2 - 5*h + 6. Suppose -5*w + 4*w = -8. Calculate the smallest common multiple of 22 and g(w).
330
Suppose -71 = -5*f + 3*l, 2*l = 4*f - 2 - 56. Let m = f - 6. Calculate the lowest common multiple of 4 and m.
20
Suppose -2*n = -3*n - 21. Find the common denominator of 343/42*26/14 and (n/(-25))/(4/(-10)).
30
Let u(a) = a**3 + 2*a**2 - 2*a + 1. Let f be u(1). Let q(z) = -z**2 - 5*z + 2. Let c be q(-6). Calculate the common denominator of (-17)/c + -2 - f and 67/16.
16
Suppose 0 = -s - 0*s + 104. Let x = 148 - 134. Calculate the least common multiple of s and x.
728
Suppose 0 = g + 3*j - 6, -3*j = 5*g - 0*g - 18. Suppos