 c be z(0). Let v = c + -8459/4. What is the common denominator of v and l?
4
Let l(t) = -27*t - 222. What is the least common multiple of l(-10) and 22?
528
What is the least common multiple of (130/(-7))/((-2)/14) + 2 and 84?
924
Let y be (1 + (-11025)/(-10))/((-10)/34). Let t = y + 3764. What is the common denominator of 49/16 and t?
80
Let v = -2 + 5. Suppose 0 = -h + 3 + v. Calculate the common denominator of -1 + (-21)/h*-13 and 25/4.
4
Suppose -5*y + 6*y - 54 = 0. Suppose -m - y = 2*m. Calculate the common denominator of 13/10 and 1 + (-32)/m + -3.
90
Let a(p) = -2*p**3 - 3*p**2 + 5*p - 4. Let r be a(3). Let n = 6531/1070 - -21/107. Calculate the common denominator of n and (-2)/10 + 81/r.
70
Suppose -49 = 6*f + 47. Calculate the common denominator of 4/f*(-4)/((-84)/255) and -79/2.
28
Suppose 4*f - 18 = -66. Let b(j) = -2*j - 22. Calculate the lowest common multiple of 4 and b(f).
4
Let q(b) = -b**3 + 3*b**2 + 3*b + 1. Let k be q(4). Let a = k + 1. Calculate the common denominator of (7/66)/(a/18) and 25/8.
88
Suppose 0 = 4*l - 9019 - 4697. Let t = l - 58313/17. Let b = t - -1216/51. What is the common denominator of b and -52/9?
9
Let r = 26633/8 + -3330. Find the common denominator of r and 2/(-36)*61 + -1.
72
Let y = 36/516954557 - 7142022668219/871068428545. Let m = 2/2359 - y. What is the common denominator of m and 2/14*7630/(-100)?
10
Let m = -2126 - 6883. Find the common denominator of (-8484)/m + 4/(-26) and -71/30.
330
Suppose 38*q - 2 = 36*q. Let u = 10 + -19. Let y = u - -13. Calculate the smallest common multiple of q and y.
4
Let k(o) = 51*o**2 - 7*o - 9. Let q be k(4). What is the common denominator of 12/54 - (q/(-180) + 1) and (-119)/60 + (-3)/(-9)?
20
Suppose -3*d - 3 = -3*x + 4*x, -5*d + x - 5 = 0. Let n(t) = -t**3 + 11*t**2 - t + 13. What is the smallest common multiple of n(11) and d/(40/(-36) - -1)?
18
Suppose -3129 + 578 = -y. Let a = y + -15401/6. Find the common denominator of a and 74/3.
6
Let g be (0 + 2 - 0) + 521. Let v = g - 11503/22. Find the common denominator of v and 0 - -3 - (-299)/78.
66
Suppose -1 = q + 4. Let r(p) = -p**2 - 7*p - 9. What is the least common multiple of 10 and r(q)?
10
Suppose -152 - 172 = -12*w. Calculate the least common multiple of w and 108.
108
Let l = 8 + -1. Suppose 0 = 5*g - h - 147, -3*g + 2*h + 112 = 21. What is the smallest common multiple of g and l?
203
Let b(y) = -27*y - 5. Let a be b(-2). Let p = 30 - a. Let j = p + 21. Calculate the least common multiple of j and 6.
6
Let l(q) = q**3 + 16*q**2 - 21*q + 30. Let y be l(-17). What is the common denominator of 40/(-22)*y/35 and 31/8?
88
Let j(o) = -o**3 - 24*o**2 + 57*o + 110. Let v be j(-26). Suppose -43 = g - 9. Let u = v - g. What is the least common multiple of 5 and u?
70
Let j(g) = 394*g - 1. Let q be j(4). Let n = q - 12623/8. Let r = 1770 - 7039/4. Calculate the common denominator of r and n.
8
Let m be (-1523)/2*(-2)/(-132). Let f be 14/63 + 2768/396. Let i = m - f. What is the common denominator of 26 and i?
4
Let r be 28/42*18/(-9004). Let y = 285841/27012 - r. What is the common denominator of -75/4 and y?
12
Let t be 0/((4 + 0)*1). Suppose 0 = -n + 11 - 2. Suppose t = 6*z - 3 - n. What is the smallest common multiple of z and 12?
12
What is the common denominator of 71/231 and (-195)/260*((-260)/3)/2?
462
Suppose 5*z - 2*d = 34, -4*d = -4*z - z + 38. Let a = 93 - 271/3. Find the common denominator of a and (2/z)/((-3)/3).
3
Let y = -17/866 - -66377/28578. What is the common denominator of -145/12 and y?
132
Let r(i) = 2*i - 4. Let s be r(3). What is the common denominator of -67/12 and (-1065)/330 + s/11?
132
Suppose -5*d = 12 - 32. Suppose d*u = 3*u + 3. Suppose -8 = -p - u*p. What is the least common multiple of p and 2?
2
Let b = 202 - 148. What is the least common multiple of 48 and b?
432
Calculate the least common multiple of (106/3)/(276/414) and 6.
318
Let a = -59 + 88. Suppose -j - 2*y + 3 = 0, -71 = -5*j - y - a. Calculate the lowest common multiple of j and 2.
18
Let l(n) = -8*n - 2*n + 7*n - 29 - 2*n. What is the smallest common multiple of 32 and l(-7)?
96
Let p = -43647/70 + 4294/7. Let x = -6544663/55144 - -13580/113. Let f = x + 8/61. What is the common denominator of p and f?
40
Let k = 33 + -67. Find the common denominator of (-35)/k - 1 - 8/12 and 19/16.
816
Suppose 8*f - 62*f - 972 = 0. Calculate the common denominator of (38/(-4))/(4/4) and f.
2
Suppose 0 = 4*x - x + 3, 4108 = 5*q - 3*x. Let b be (-2 + 4)*(-9763)/24. Let i = q + b. Find the common denominator of i and 109/20.
60
Let d = 927869/57 - -788819/1140. Let a be (6 + -8)*8488/1. Let m = d + a. Find the common denominator of m and -15/14.
140
Let c = -39 + 99. Suppose 5*f - c = -5*f. What is the lowest common multiple of 15 and f?
30
Suppose -2*k + 342 = 3*c - 54, 3*k + 5*c = 596. Calculate the least common multiple of 5 and k.
960
Let j be (-114)/59 - (-5)/(20/8). Let z = 1671/590 + j. What is the common denominator of z and 38/3?
30
Let d(k) = k**2 + 8*k - 4. Suppose -x + 3*f - 2 = 0, -x + 4*f - 6*f = -8. Suppose x*w - 84 = -2*w. Calculate the lowest common multiple of d(-10) and w.
112
Let y = 293/9 + -709/18. Suppose -75 = -4*g - g. What is the common denominator of (-2 + g)*(-15)/42 and y?
42
Let o(a) = 3*a - 14. Calculate the smallest common multiple of o(8) and 65.
130
Let v be 2/6 + 4/(-12). Suppose 2074 = -5*h - 2*m, v = -3*h - 6*m + 2*m - 1236. Calculate the common denominator of h/24*1/(-8) and 13/22.
66
Let y(k) = -k**2 - 11*k + 2. Let h be -9*1 + 6 + (-49)/7. Calculate the lowest common multiple of 6 and y(h).
12
Calculate the common denominator of -161/60 and 104/(-36)*(-21)/16.
120
Let f(g) = -g**3 - g**2 + 2*g + 2. Let r(o) = o**2 - 13*o - 12. What is the least common multiple of f(-2) and r(-7)?
128
Let w = 91/9 - -7207/18. Let d = 373 - w. What is the common denominator of 91/6 and d?
6
Let q = -378/5 - -1387/20. Let o = -2109583657/571248 - -31/35703. Let h = o + 3697. Calculate the common denominator of q and h.
16
Let w(l) = -l - 1. Let m(k) = -5*k - 10. Let u(b) = m(b) - 6*w(b). What is the lowest common multiple of 5 and u(8)?
20
Find the common denominator of -51/212 and ((-29)/3)/((-623)/21 + 7).
3604
Suppose 0 = -u - u - 4, 0 = 5*f + 3*u + 186. What is the common denominator of 103/18 and f/63 + 206/(-644)?
414
Let g(m) = -m**2 - 7*m + 1. Suppose 5 = 32*c - 31*c. Calculate the least common multiple of c and g(-6).
35
Suppose -92*y = -91*y + 3. What is the common denominator of (-137)/(-3)*2*y/(-12) and -2 + (1965/(-36))/(-5)?
12
Let u = -92570632 - -263826277871/2850. Let n = -9/475 - u. Calculate the common denominator of -14/15 and n.
30
Let w(x) = 7*x**3 + x**2 + x - 1. Calculate the smallest common multiple of w(1) and 16.
16
Let b = 23 + -33. Let p = b + 14. Suppose -7*f + 2 = -5*f. What is the smallest common multiple of f and p?
4
Let d = 465 - 397. What is the smallest common multiple of d and 9?
612
Let k be -3 - (27/(-5) - (-4)/10). Suppose k*j - 40 = -2*r, -85 = -5*r - 2*j + 6. What is the common denominator of r and -29/4?
4
Let f = 157 + -117. What is the lowest common multiple of f and 90?
360
Let q = 616/3 + -201. Suppose 7*g + 32444 = 3*g. Let l = g - -129725/16. Find the common denominator of q and l.
48
Suppose 18 + 0 = 3*x. Suppose -3*m + 2*m - x = 0. Calculate the common denominator of ((-14)/((-56)/(-31)))/(3/(-2)) and m.
6
Let h(p) = 14*p**2. Let s be h(1). Find the common denominator of 38/s - 3 - 438/280 and -11/126.
1260
Let y(i) = -2 - 2*i - 3 + 2. What is the lowest common multiple of y(-18) and 27?
297
Suppose 0 = 5*b - b - 2*x - 18, -5*x - 17 = -3*b. Calculate the least common multiple of (b + -3)*-2*-4 and 88.
88
Suppose -5*q + 338 = -702. What is the common denominator of 17/4 and q/68 - (-1 - -5)?
68
Find the common denominator of 52/7 and (-33 - -6)/((-260)/4).
455
Suppose 0 = 5*v + 2*j + 22, -7*j = -v - 3*j. Calculate the common denominator of -23/2 and 1/v*(-340)/8.
8
Let w be (-14)/(-42) - (-67)/258. Let p = 1817/344 + w. Find the common denominator of p and (-136)/6*(-28)/(-32).
24
Let k = 179523436 + -480045652089/2674. Let o = 78/877 - 57871/167507. Let a = k + o. What is the common denominator of -41/4 and a?
28
Suppose -i = 4*x - 37, 30 = 5*x - 2*x + 3*i. Sup