4)/(-5)*10/12).
18
Suppose 0 = 3*p - 2*v + 133 - 755, 3*v + 1038 = 5*p. What is the common denominator of (p/(-80))/(6/4) and 31/10?
20
Suppose i = 3*o - 0*o - 15, 4*o - 25 = 3*i. Let h = 1 - i. Calculate the least common multiple of 10 and h.
20
Let z = -3 + 5. Let q be (35/14)/(z/4). Suppose 5*j + 40 = q*x, 3*x = -j - 0*j + 24. What is the least common multiple of x and 12?
24
Suppose -3*b = -0*b + 4*r - 40, -5*b + 32 = -2*r. Suppose 0 = -9*f + b*f + 10. Suppose 2*c - f = -3*c. What is the least common multiple of c and 9?
18
Find the common denominator of (-40)/(-14) - 4/14 and 2 + 0 + 57/(-18).
42
Calculate the common denominator of -80/21 and (-6 + 32/6)/(40/(-62)).
210
Suppose -36 - 216 = -28*j. Let h(i) be the first derivative of -i**2 + 3*i - 1. Calculate the lowest common multiple of j and h(-4).
99
Let u = -4 - -6. Suppose 2*g + 3*g + 4*n = 24, g = -u*n. Let t(c) = 2*c**2 - c - 4. What is the least common multiple of g and t(3)?
88
Calculate the common denominator of 20/11 and (29/3)/(26/(-6)).
143
Suppose -2*s + 10 = 3*s. What is the least common multiple of (-2)/(-2*s/16) and 12?
24
Let d(m) = m**3 + 6*m**2 + 3*m - 4. What is the least common multiple of d(-5) and 3?
6
Let b = -33007/7882 + -15/563. What is the common denominator of b and -19/2?
14
Let u(p) = p**3 - 4*p**2 - 2*p + 6. Let j be u(4). Calculate the common denominator of 4/(-6) - (-9)/2 and j/8 - 543/60.
30
Suppose 10 = -4*x + 3*r, -2*x - 4*r = 1 - 7. What is the common denominator of -99/8 and 4 + x + (-79)/11?
88
Let d = -48/11 - -4. Let t(s) = -s - 1. Let b be t(-5). Calculate the common denominator of d and 616/90 - b/10.
99
Let f = 2 - 2. Suppose f*j - 2*j = -3*r - 5, -3*j + 5 = -5*r. Suppose 5*p = -4*w + 25, -w = -3*p - 2*w + 8. Calculate the smallest common multiple of j and p.
10
Let q(w) = -4*w + 3. Let z be q(3). Calculate the lowest common multiple of 11 and (-5 - z)/(4/6).
66
Let t = 29 + 29. Find the common denominator of -2 + (t/(-11))/(-2) and 4/5.
55
Let f = 16 + -10. Let w be 4 - (-1)/(2/f). Suppose w*z - 9*z = -24. Calculate the smallest common multiple of z and 18.
36
Let p = 1975/6 + -308. What is the common denominator of p and 41/26?
78
Let r be 6/(-4)*4/3. Calculate the common denominator of r/(-6) + (-662)/60 and 10.
10
Let g be (10005/(-6) + -2)*(-1)/3. Let h be 6/(-4)*1156/(-3). Let q = h - g. Find the common denominator of 99/4 and q.
4
Let w = 39/2 + -28. Calculate the common denominator of -109/10 and w.
10
Let g be ((-21498)/11)/3 + -2. Let n = -653 - g. What is the common denominator of n and (-10)/(-22)*224/(-20)?
11
Let n = 28 + -19. Calculate the lowest common multiple of 3 and n.
9
Let a(r) = -r**2 - 6*r - 2. Let i be a(-5). Suppose -2*h + 1 = -i. Suppose -5*b + 4*z = -76, b = 4*z + 5 + 7. What is the smallest common multiple of b and h?
16
Let u be 2/8 + 14/8. Suppose -2*f + 0*b + 24 = 4*b, 0 = 2*f + 3*b - 23. Calculate the smallest common multiple of 8 + (4/u)/(-2) and f.
70
Suppose 4*y = 26 + 58. Calculate the least common multiple of 30 and y.
210
Let j(d) = -d**3 + 22. Let m(g) = 12*g**3 - g**2 + g. Calculate the least common multiple of j(0) and m(1).
132
Let o = 13 - 58. What is the common denominator of (-411)/4*5/o and 51/2?
12
Let z = 1519 + -2977/2. Find the common denominator of (30/(-4))/((-12)/(-11)) and z.
8
Calculate the common denominator of 73/16 and (-2790)/(-40)*(-2)/(-21).
112
Let n = -1743/2 - -835. Let c be 6/9 - (-1)/3. Find the common denominator of n and c*3 - (-316)/(-8).
2
What is the common denominator of (190/20)/(1/(-3)) and 115/12?
12
Let y be -193*(-10 + 2 + 1). Let x = y - 5367/4. What is the common denominator of x and 0 - (1 + (-93)/54)?
36
Let v be 15/7 + (-3)/21. Let x = 11 - v. Calculate the least common multiple of x and 9.
9
Let k(o) = -o - 7. Let l be k(-5). Suppose 2*y + 2*t + 40 = 0, 5*t + 40 = -2*y - 0*y. Calculate the common denominator of 3 and y/(-144) + l/8.
9
Let j = -55008 - -234455/4. Let i = j - 3584. Find the common denominator of i and 1/5.
20
Calculate the common denominator of 1*53/(-4) + 2 and -79/14.
28
Let s(g) = 7*g**3 + g. Suppose 5*k - 5*f - 4 = -24, -f - 1 = 4*k. Let i be s(k). Let x = 18 + i. Calculate the least common multiple of x and 10.
10
Let q = -16 + 10. Let m(f) = 2*f**2 + 7*f - 8. What is the lowest common multiple of m(q) and 4?
44
Let x = -1379/44 + -7/44. What is the common denominator of x and (64 - -3)*1/(-18)?
18
Suppose 3*v + 10*z - 5*z = 29, 4*v = z + 77. What is the smallest common multiple of v and 22?
198
Let m(t) = -t - 5. Calculate the smallest common multiple of 3 and m(-9).
12
Suppose -f = -t + 3, -3 = -2*t + 3. Suppose -4*n - 34 - 14 = f. What is the lowest common multiple of (2 + -6)/2 - n and 3?
30
Suppose 5*r + 25 = -335. What is the common denominator of 53/5 and ((-9)/(-4))/(4/r)?
10
Suppose -5*c = -4 - 6. Suppose 26 + 14 = 5*g. Let f(n) = -n + 9. Calculate the least common multiple of f(g) and c.
2
Let f = 6863/42 - 319/2. Let r = 1349/168 - f. What is the common denominator of r and -35/8?
8
Suppose m = 0, 4*o = -2*m + 15 + 17. What is the lowest common multiple of o and 20?
40
Suppose z + 0 = 1. Let q be ((-4 - -2)*1)/2. What is the least common multiple of (-1 + q)*z - -10 and 10?
40
Suppose 3*w + 16 = -w. What is the lowest common multiple of (w/(-5))/(2/10) and 4?
4
Let x = 1243 - 8744/7. Let a be (-10419)/(-10422) + (-1)/1. Let y = 194533/38214 - a. Find the common denominator of y and x.
77
Suppose 4*w - 15 = 13. Let c(p) = 2*p**2 - 6. Let s be c(4). Let u = s + -18. Calculate the smallest common multiple of w and u.
56
Let n be ((-22)/(-14) + -1)/(-18). Let x = n + -3193/630. What is the common denominator of ((-10)/(-8) - 2)/(-2) and x?
40
Find the common denominator of (-595)/(-84) - 2/(4/(-2)) and 25/27.
108
Let z = -358972/3 + 121473. Let b = 32743/18 - z. Find the common denominator of 71/(-1 - 42/2) and b.
198
Suppose 16*d - 334 = -78. Calculate the smallest common multiple of d and 44.
176
Let a be 96942/(-29784) - 6/(-9). Let o = 6/1241 + a. Find the common denominator of o and -63/10.
60
Let c be (-120)/2 + 0 + -1. Let z = -13727/6 - -2308. Calculate the common denominator of z and c/(-14) + -2 + 3.
42
Let m = -61/27 - -5/54. Find the common denominator of 11/3 and m.
6
Suppose -3*q - 3 = -0, 5*t - q - 1 = 0. Let r be t + -3 + 31 + -3. Suppose -17 = -3*n + r. What is the smallest common multiple of n and 18?
126
Let d = 7397/1155 - 1/231. Calculate the common denominator of d and 89/16.
80
Let t be -1*2/(-2 + 1). Let z(k) = k**3 - 3*k**2 + 4*k - 3. Calculate the lowest common multiple of z(t) and 7.
7
Calculate the lowest common multiple of 28 and (40/7)/(4/14).
140
Calculate the smallest common multiple of ((-24)/(-10))/((-28)/(-105)) and 27.
27
What is the common denominator of (14/(-3))/((-24)/20) and -23/2?
18
Let t = -3029/484 - -1/121. Let j(q) = 3227*q**2 - q + 1. Let f be j(1). Let y = f - 25887/8. What is the common denominator of y and t?
8
Let n(r) = r**3 - 3*r**2 - 3*r - 1. Let p be n(4). Suppose p*y = -0*y + 9. What is the least common multiple of 3 and y?
3
Let c = -65/16 - -425/144. Calculate the common denominator of c and -58/9.
9
Let t(z) = z**2 + 5*z - 1. Let u be t(-5). Calculate the smallest common multiple of (9 + u)*5/10 and 2.
4
Let n(a) = 2*a**2 + 2*a - 1. Suppose 0*q - 3*q = -9. Suppose q*p - 6 + 3 = 0. Calculate the smallest common multiple of n(2) and p.
11
Suppose y = 4*i - 10, 6*i = 2*i - 5*y - 2. What is the least common multiple of ((-12)/(-10))/((-4)/(-60)) and 8 + (i - (0 - -2))?
72
Let w(y) = -5*y**2 + y - 6. Let c(z) = z**2 - z + 1. Let t(h) = 6*c(h) + w(h). Let i be t(4). What is the common denominator of (-86)/i*10/(-45) and 2/5?
45
Let n(v) = -2*v - 5. Let x be n(-4). Suppose x*b + 24 = 3*y, 4*y + 2*b + 8 - 52 = 0. What is the smallest common multiple of y and 2?
10
Let g be 750/(-4) + (3 - 3). Let q = -527/3 - g. Calculate the common denominator of 31/9 and q.
18
Let y be (455/(-10))/((-2)/4). Calculate the common denominator of (y/(-88) + 1)*-68 and -2 + (-2 - 51/(-12)).
44
Let t = -245 + -57. Find the common denominator of t/(-9)*(-9)/12 and 59/8.
24
Let k = 0 + 10. Let s(c) = -6*c**2 - 1. Let x(b) = -b**2. Let n(v) = -s(v) + 5*x(v). Calculate the smallest common multiple of k 