
Let l be (2/(-8))/((-7)/140). Suppose -4*q + 1 = -5*k - 7, -l*q + 5*k + 10 = 0. Calculate the smallest common multiple of q and 12.
12
Suppose -p - 2*p = -g - 7, -4*g = 5*p - 23. Calculate the common denominator of g - (-4)/(64/13) and 0 + (-222)/40 - -1.
80
Suppose q + 27 = -2*q. Calculate the lowest common multiple of 10 and ((-9)/4)/(q/48).
60
Let l(m) = m**3 + 4*m**2 - 2. Let u be l(-4). Calculate the smallest common multiple of 10 and (-1)/u + 14/4.
20
Suppose 4*h = 3*k - 0*h + 20, -2*h + 10 = -2*k. Suppose k*z = z - 10. Calculate the least common multiple of z and 22.
110
Let a = 885/7 + -9641/70. Let x = 1 - 2. Find the common denominator of (0 - x) + 70/(-36) and a.
90
Suppose 5 = -5*n - 2*t, 6*n - 4*t + 35 = n. Find the common denominator of (-1)/(12/(-261)) + n and -41/10.
20
Let r(d) = -d**2 - 9*d - 10. What is the least common multiple of r(-7) and 3?
12
Let g = -10643 - -212959/20. Let f = 2669 - -4295. Let l = f + -139371/20. Calculate the common denominator of g and l.
20
Let p = -2784/5 - -561. What is the common denominator of p and 61/8?
40
Find the common denominator of 1/4 and (889/(-140))/((-12)/(-10)).
24
Let n = 3019/924 - 4/231. Calculate the common denominator of n and 41/40.
40
Suppose -3*r + 19 = -11. Calculate the least common multiple of r and (-9)/(-3) - (-4 - -2).
10
Suppose -3*m + 12 = 0, -4*m = -2*t - t - 1. Suppose 12 + 4 = 2*j. What is the smallest common multiple of t and j?
40
Let j = -34/7 - -33/7. Calculate the common denominator of -37/2 and j.
14
Let a be -49 - 4/(0 + -4). Calculate the common denominator of 4 + 15*(-2)/a and -1/26.
104
Suppose 3*z - 8*z + 10 = 0. Find the common denominator of z/1 - (-53)/(-3) and -47/6.
6
Suppose 0 = 4*c + 3 - 19. Let f be (-31)/c - (-2)/(-8). Calculate the common denominator of 31/2 and 292/54*6/f.
18
Let c(u) = 3*u**3 - 2*u**2 + 1. What is the lowest common multiple of c(1) and 11?
22
Suppose 4*p - 11 = 1. Suppose -p*o + 2*o + 5 = 0, 4*x - 5*o = -1. What is the lowest common multiple of 20 and x?
60
Let v = -2/4685 - 210797/65590. What is the common denominator of v and -77/24?
168
Let q be 0 + 1 - (-299 - 3). Suppose -5*h + 282 + q = 0. What is the lowest common multiple of 6 and (-1)/(-5) - h/(-15)?
24
Let w be ((-44868)/627)/((-478)/17). Let i = w + 2/4541. What is the common denominator of i and -25/11?
11
Calculate the lowest common multiple of 2*-1*(-10)/2 and 20.
20
Suppose -a - 5 = -7. Suppose a*r - 32 = 2*i, 5*r - 48 = 2*r + 2*i. Calculate the lowest common multiple of r and 14.
112
Let v = 1675/204 + 12/17. Calculate the common denominator of -1/8 and v.
24
Calculate the common denominator of 17/12 and ((-2)/(-32))/((-9)/(-804)).
12
Calculate the lowest common multiple of 6 and (-3)/2 - (-45)/6.
6
Let w = -15997/4 - -3978. Find the common denominator of w and 17/6.
12
Let v be (27/(-6))/(1/(-2)). Suppose -w + v + 12 = 0. Let h = 30 - w. What is the smallest common multiple of 3 and h?
9
Suppose -5*p + 35 = -2*a, 4*p + a + 7 - 48 = 0. Calculate the lowest common multiple of 4 and p.
36
Let c = 16 - 14. Calculate the lowest common multiple of 6 and c.
6
Let c = 21235/22 + -969. Calculate the common denominator of c and 1/12.
132
Let z = -7 + 11. Let k = -3 - -17. What is the smallest common multiple of z and k?
28
Calculate the common denominator of 61/6 and 71*(2/2)/(-20).
60
Let f = -1140 - -549479/482. Let g = 1808/241 + f. Find the common denominator of g and -13/2.
2
Let c = -2 - -14. Let s = c + -8. Suppose -4*v = r + 16, v = -s*r + 3 + 8. Calculate the least common multiple of 10 and r.
20
Let z = -5 - -9. Suppose -z*u - 332 = -2*v, 5*v + 4*u + 109 = 911. What is the common denominator of 6/(-33)*v/(-8) and 31/2?
22
What is the common denominator of (-1197)/(-27)*(-3)/(-6) and 83/6?
6
Let o = 9 - -21. Calculate the lowest common multiple of 16 and o.
240
Suppose 0*x - 2*x - 3*v + 19 = 0, -4*v = -3*x + 20. Calculate the smallest common multiple of x and 13.
104
Let o(y) = y - 4. Let u be o(4). Suppose -3*k + 1 + 14 = u. Suppose -k*r - 25 = -5*s, -4*s - 5*r - 17 = -5*s. What is the smallest common multiple of 3 and s?
6
Calculate the least common multiple of 1*-4*(-7)/4 and 4.
28
Let v = -72411209/40262 + 1/20131. Let w = v + 1844. What is the common denominator of 19/4 and w?
4
Suppose b = -4*b + 80. Let d = 4 + -1. Suppose i = -d*i + 48. Calculate the smallest common multiple of b and i.
48
Let m(r) = -6*r**3 + r + 1. Calculate the lowest common multiple of 8 and m(-1).
24
Suppose 3*r = -2*r + 3*v - 15, 0 = -3*r + 3*v - 15. Suppose 4*t + 0*t - 24 = r. Suppose 2*l = 10 + 6. What is the least common multiple of l and t?
24
Let r(q) = -q + 8. Let a be r(13). What is the least common multiple of 7 and (-3)/((a/3)/5)?
63
Let n be -5 - (-2 - (-3 - -4)). Let d(j) = -2*j**3 - 2*j**2 - j + 2. Calculate the least common multiple of d(n) and 2.
12
Let t = 1145/2 + -584. Let g = -61623/11 - -5591. Let v = g + -7/44. What is the common denominator of t and v?
4
Let j = 45 - 36. What is the least common multiple of 15 and j?
45
Suppose -3*v - 1 = 2, 0 = 2*i - 2*v - 6. Suppose -i*a + 9 = a, 0 = -2*o + 2*a - 2. Calculate the smallest common multiple of o and 8.
8
Let h = -1/1473372 + 2012196419/736686. Let z(o) = 44*o**3 + 5*o**2 - 3*o + 4. Let y be z(-4). Let v = y + h. What is the common denominator of v and -29/16?
48
Let w(l) = 2*l - 16. Let u be w(9). Calculate the common denominator of -79/14 and (27/(-144))/(u/76).
56
Let l = 56261/6 + -9399. Let a be (-2)/7 + 1629813/(-210). Let z = 7753 + a. Calculate the common denominator of z and l.
30
Suppose 3*c - 6 = 2*c - 2*x, 0 = 5*x - 5. Suppose l - 2*i = -2*l + 60, 2*i = c*l - 78. What is the common denominator of ((-95)/30)/(2/l) and -115/14?
14
Suppose -3*l - 139 = -3*a + 2*l, -3*l + 3 = 0. What is the lowest common multiple of 27 and a?
432
Suppose -2*k - 2*v + 21 = -43, -3*k + 5*v = -96. What is the smallest common multiple of 44 and k?
352
Let m = -37/24 - -199/24. Find the common denominator of m and 65/18.
36
Let y = 4103433 + -2074426. Let q be -1 + y*2/(-891880). Let s = q - 1/22297. What is the common denominator of 3/10 and s?
20
Suppose -5*z = -8*z + 9. Let g = z - -7. What is the smallest common multiple of 16 and g?
80
Let o be 3 - ((-367)/(-74) + -2). Let f = o + 202/37. Find the common denominator of f and 69/20.
20
Suppose 0*p + 9 = p. Calculate the smallest common multiple of 10 and p.
90
Let b = -88 + 100. Calculate the lowest common multiple of 40 and b.
120
Let f(k) = -k**3 - 25*k**2 + 22. Find the common denominator of (-134)/(-32) - (-3)/(-3) and f(-25).
16
Let f(b) = -b**3 + 3*b**2 + b + 1. Let p be f(3). Suppose p*u = u + 108. Calculate the lowest common multiple of 14 and u.
252
Let h = -717/4 + 167. Suppose -c - 5 = 4*k, 5*k + 8 = -3*c - 0*k. Calculate the common denominator of h and ((-79)/(-22) + c)*-1.
44
Let y = 9151/153 + -1098/17. What is the common denominator of (-447)/60 - 1/(-4) and y?
45
Let t be 36/21 + (-2)/(-7). Find the common denominator of ((-870)/4)/(108/(-4)) and (-1689)/54 - t/9.
18
Suppose -t - 4*t + 25 = 0. Suppose 4*v - 40 = -v. Calculate the least common multiple of v and t.
40
Let k = 42357/16 - 2650. Find the common denominator of k and -67/28.
112
Let r(m) = -m**2 - 5*m + 4. Let n be r(-4). Find the common denominator of 1670/144 + n/(-36) and (-254)/(-12) + 2/6.
8
Let n = 3 - 0. Suppose -n*t + 6*r - r + 3 = 0, -4*t - 4*r = -4. What is the common denominator of t - (-3)/((-27)/56) and -33?
9
Let i be ((-2)/5)/(1/(-5)). Suppose 5*w = -5, f + 3*w - 5 = -i. Suppose -c = -f*c + 80. Calculate the lowest common multiple of 4 and c.
16
Let u be 14/(-45) - (-1)/5. Let g = 4183/1962 + 28/109. Let p = g - u. Find the common denominator of -38/3 and p.
6
Calculate the least common multiple of (-16 - -20)/(8/18) and 105.
315
What is the common denominator of 3/1 - 188/8 and 473/408 - (-6)/(-51)?
24
Calculate the common denominator of -13/4 and ((-19)/(-5))/((-72)/150).
12
Let l = -3408/1375 - -3/125. Find the common denominator of l and ((-48)/280)/(8/(-14)).
110
Let d(a) be the first derivative of 1/4*a**4 - 5*a**2 + 7/3*a**3 - 9*a - 2. What is the least common multiple of 4 and d(-8)?
28
Suppose -r + 0*r + 6 = 0. Let x(o) = o**2 - 17*o + 4. Calculate the lowest comm