+ 4*h - 4, h = 4*p + 16. Let d be (10/39275)/(p/(-5)). Let t = d - 381773/47130. Calculate the common denominator of t and 91/20.
20
Suppose -1506 = 3*x + x - 3*q, -5*x - 5*q = 1865. Let r = -5255/14 - x. What is the common denominator of 61/(-12) + 1/1 and r?
84
Let i be (-2 - 0)/(0 - -2). What is the common denominator of 131/6 and i + 2 + (-1016)/160?
60
Suppose 36 = -2*v + 6*v. Suppose -4*i + 19 = -v. What is the lowest common multiple of 10 and i?
70
Let j be 3 - (62 - 3)*-1. Let k be (-6 + 10)*(-1)/j. Let i = 197/310 - k. Calculate the common denominator of -51/2 and i.
10
Let x = -34 - -47. Let q = 35 - x. Suppose -v + 3*v = q. Calculate the least common multiple of v and 10.
110
Suppose -2*d + 6 = 0, 6 = -2*u - 3*d + 23. Suppose -3*r = 5*m - 18, m - u = r + 6*m. Suppose -2*i - 10 = -4*i. Calculate the lowest common multiple of i and r.
55
Let y = 25/396 + 127/36. Calculate the common denominator of y and -57/2.
22
Suppose 0 = -2*k + 6 + 4. Let y(a) = a**3 - 5*a**2 + 3*a + 1. Calculate the least common multiple of 4 and y(k).
16
Let o = -49/5 + 11. Let k(z) = z**3 + 11*z**2 - 10. Let v be k(-8). Find the common denominator of o and 2 - (-1)/((-20)/v).
10
Suppose -91 - 54 = 5*q. Let f be (-1)/((-3)/(-39)*1). Let t = f - q. Calculate the least common multiple of t and 22.
176
Suppose 4*x = -521 + 2881. Find the common denominator of 5/(-100)*x/(-4) and -11/10.
40
Let f = 25 + -20. What is the smallest common multiple of f and 18?
90
Let u(y) = -y + 6. Suppose -2*v - 2*v + 60 = 4*o, 0 = 2*v - 10. Let w(m) = -m**2 + 10*m + 8. What is the least common multiple of u(0) and w(o)?
24
Let r = 1/727 + 3617/13086. What is the common denominator of 20/33 and r?
198
Let z(m) = 5*m - 2. Suppose 0 = -2*f + 3*j - 7, f - 4*j + 15 = 4*f. Calculate the least common multiple of f and z(2).
8
Let o = -114701/18 - -6374. What is the common denominator of 109/12 and o?
36
Let c be (-1)/((-15)/6)*10. Suppose -3*h = -5*p - 6, 2*p = c*h - 3 - 5. What is the lowest common multiple of h and 10?
10
Let h = -5574 - -89123/16. What is the common denominator of -67/4 and h?
16
Suppose 3*t + 0 = 6. What is the lowest common multiple of t and 12?
12
Suppose 5*z - a + 4 = a, -a + 1 = -2*z. Let m(c) = -c**2 - c - 1. Let v be m(-2). What is the smallest common multiple of v/((-3)/(-6) + z) and 5?
10
Let v(p) = -3*p + 7. Let a(f) = -f + 4. Let d(s) = 7*a(s) - 3*v(s). Let x be d(-7). Let r = x - -10. Calculate the lowest common multiple of r and 9.
9
Let i = -23 - -33. What is the lowest common multiple of i and 86?
430
Suppose 6 = -h - 1. What is the common denominator of -19/16 and h/(-84)*(-4)/(-6)?
144
Suppose 4*a + 17 - 57 = 0. What is the smallest common multiple of a and 2?
10
Let t = -142767/22 - -6491. What is the common denominator of t and 249/12*(-5)/10?
88
Suppose -20 = -5*v + y, -25 = -5*v - 0*v + 2*y. Calculate the lowest common multiple of 11 and v.
33
What is the common denominator of -11/20 and (21/(-20))/((-56)/(-35))?
160
Let p = -11 - -15. Suppose 2*w = p*w - 4*v - 40, 2*v = -2. Let t(y) = 3*y**2 + 2*y + 1. What is the lowest common multiple of w and t(-3)?
198
Let x be (152/96)/(1/5774). Let f = x - 9165. What is the common denominator of f and 95/14?
42
Let b = -3586/5 - -713. Let q(c) = c**2 - 3*c - 1. Let m be q(5). Calculate the common denominator of b and m/15 - 176/(-15).
15
Calculate the least common multiple of 18*(15/(-9))/(-5) + -3 and 10.
30
Let k(h) = -2*h + 2. Let a = 39 - 69. What is the least common multiple of 7/((-21)/a)*2 and k(-7)?
80
Let u(r) be the second derivative of r**4/12 - r. Suppose -4*g - 4*n = -52, -4*g + 4*n + 1 = -11. What is the smallest common multiple of u(-2) and g?
8
Let d(b) = b**2 - 3*b + 1. Let t = 12 + -8. Calculate the smallest common multiple of d(t) and (-1 - 23)/(-4) - 3.
15
Let o(m) = m**3 + 4*m**2 + m + 4. Calculate the common denominator of o(-3) and (4/(40/(-107)))/(-1).
10
Suppose 0*c + 2*c = 16. What is the least common multiple of c and 9?
72
Let h = 19/104 - -5261/520. Find the common denominator of h and 1 + 1 + 15/18.
30
Let f(s) = 120*s - 5. Let n be f(-6). Let v = 2573 + -25867/14. Let y = v + n. Find the common denominator of y and 109/20.
140
Let a(u) = u**2 + 5*u + 4. Let p be (9/(-4))/(9/24). Calculate the lowest common multiple of 4 and a(p).
20
Calculate the common denominator of (-2)/(-5)*1525/860 + 0 and -5/12.
516
Let y = 3/4739 + -213288/52129. What is the common denominator of 29/5 and y?
55
Let g(u) be the third derivative of u**5/60 - u**4/24 + u**3/3 + 4*u**2. Calculate the smallest common multiple of g(0) and 9.
18
Calculate the common denominator of 123/10 and (-130)/(-18) - 4/(-6).
90
Let o(t) = -t**2 - 10*t - 2. Let m be o(-8). Suppose -4*k - m + 50 = 0. What is the lowest common multiple of 6 and k?
18
Suppose 0 = 7*u - 3*u. Suppose u = -2*j + 4*l + 4, j - l + 3*l = 14. Find the common denominator of -107/6 and (-66)/(-40)*30/j.
48
Suppose 3*f - 173 + 53 = 0. What is the smallest common multiple of 22 and ((-9)/6)/((-3)/f)?
220
Suppose 3*v - 5*v = -5*g + 7, 2*g = -3*v + 18. Calculate the smallest common multiple of 20 - 3/6*4 and v.
36
Suppose -2*p + 14 = -14. Suppose 3*g = 4*j - 4, -2*j - 6 + 18 = g. Calculate the least common multiple of p and j.
28
Let z = 2 + -2. Suppose z = 4*y - 5*w + 7, -2*y = 2*w - 14 + 4. Calculate the smallest common multiple of y/(-2)*3/(-3) and 1.
1
Let s be (6/(-549))/(6/1046). Let b = s - 60/61. Calculate the common denominator of b and 6/10 - (-424)/(-140).
63
Let l be 4/8*141317402/1237. Let u = l + -57121. Let t = u + -127699/14844. Calculate the common denominator of -143/6 and t.
12
Let j = 8510/4797 - -2/533. What is the common denominator of j and 41/11?
99
Suppose 69 + 11 = 4*u. Let b(s) = 2*s**2 - 5*s + 2. Calculate the least common multiple of b(4) and u.
140
Let h = 16 - 9. Calculate the lowest common multiple of h and 4.
28
Let k = 13 - -7. Calculate the smallest common multiple of k and 6.
60
Suppose -130 + 2 = -2*l. Suppose -q + 4*y + 0*y = -36, -y = -3*q + l. What is the least common multiple of (20/6)/(1/6) and q?
20
Let g(n) = -6*n**2 + 3*n - 3. Let v be g(2). Let t(i) = -i**2 + 7*i - 4. Let x be t(5). Find the common denominator of v/(-30)*x - -2 and -20/9.
45
Suppose 0*u - u = c - 6, -2*u = -c. Calculate the lowest common multiple of 12 and 4*(u + (-2)/2).
12
Suppose -4*q = -7*h + 2*h - 11, 5*q - 5*h = 15. Let y be 3 - (-2)/(-2) - -38. Suppose y = q*r + r. Calculate the lowest common multiple of 9 and r.
72
What is the common denominator of (26/(-4) - 0)/(12/32) and 68/27?
27
Suppose -w - 3*r = -4*w + 9, 2*r = 2. Suppose 30 - 4 = w*q + 2*b, 3*b = q - 10. What is the least common multiple of 5 and q?
35
Let p(d) = 61*d**2 + 3*d + 3. Let x be p(-2). Let h = 111 - x. What is the common denominator of 19/4 and h/12 - (-2 - -2)?
12
Suppose 2*p + v - 25 = 0, 3*v + 20 = 2*p - v. Calculate the smallest common multiple of 16 and p.
48
Calculate the lowest common multiple of 14 and 4*2/(-4) + 56/2.
182
Let y be (-155)/219 + 16/24. Let n = -1439/511 + y. What is the common denominator of n and 46/7?
7
Let y be 4/(-14) - 69/(-70). Let a = 31/30 - y. Find the common denominator of a and -3 - -17*4/5.
15
Let l = 260603/78518 - 3/3569. Find the common denominator of l and -71/22.
22
Suppose -13 = -w - 3. Calculate the lowest common multiple of w and 10.
10
Let q(l) = l**2 + 7 + 4*l - 4*l. Let z be q(0). Let s = 7 + z. Calculate the lowest common multiple of s and 4.
28
What is the common denominator of (840/225)/(2/(-6)) and -26/5?
5
Let f = 23 - 5. Calculate the lowest common multiple of (0 - 4)/(-2 + 1) and f/8*(0 - -4).
36
Let o = 5 + 1. Let u(a) = a**2 - a - 2. Calculate the least common multiple of u(-4) and o.
18
What is the common denominator of 90/16 + 12/(-48) and -73/8?
8
Let d = 25 + -19. What is the least common multiple of 2 and d?
6
Let j be (-5)/(-3) + 4/(-6). Let r = j + 2. Suppose -r*m = -m - 32. Calculate the lowest common multiple of 6 and m.
48
Let h(k) = -4128*k**2 - 6*k - 10. Let c be h(-7). Let r = -3261323/16 - c. Let f = r - -1591. Calculate the common denominator of f and -29/12.
48
Let o = -610991 - -6104337/10. Let g = o - -562. What is the common denominator of -3/11 and g?
110
Let m = 35/33 - 3077/132. Calcula