ommon denominator of y and w?
1008
Let y(a) = a**2 - 10*a + 28. Let w be y(4). Suppose -4*c = w*t - 9*c - 49, -3*c + 15 = 5*t. What is the lowest common multiple of t and (4 + (-14)/4)*16?
24
Suppose 0 = 5*u - 3*n + 22, -10 = -u + 4*u - n. Let f be -6 + (13 + -4 - 3) + u. Let d = 40 - f. What is the least common multiple of d and 9?
126
Suppose 4*r + 5*z = -49, -9*z = -4*r - 5*z - 76. Calculate the common denominator of -39/28 and ((-5)/(35/(-266)))/r.
56
Let i(y) be the second derivative of -y**3 + 9*y + 0 - 5/2*y**2. Calculate the least common multiple of i(-2) and 11.
77
Let i = -37281/430255 + -7/12293. Calculate the common denominator of -9/1615 and i.
11305
Suppose -4*q - 9 = -b, -5*b + 77 = -34*q + 30*q. Suppose 13*s - b = 48. What is the lowest common multiple of s and 20?
20
Suppose -3*w = 4*y - 364, -5*w + 562 = 5*y + 112. Suppose c + 2*c + 4*h = y, 84 = 4*c - 5*h. Calculate the smallest common multiple of 27 and -4*1*(-35 + c).
108
Let r(l) = -l**3 - 115*l**2 - 5*l - 300. Calculate the least common multiple of r(-115) and 825.
825
Suppose -4*d = -74 + 46. Let g(x) = -2*x**2 + 26*x - 30. Calculate the smallest common multiple of 42 and g(d).
378
Let b = 9 + 1. Let v(s) = -s**3 - 20*s**2 - 90*s - 7. Let q be v(-13). Find the common denominator of -95/14 and 188/q*b/(-56).
28
Let r = 1179/10 + -487/4. Calculate the common denominator of r and 43/1165.
4660
Let u(y) = -7*y**2 + 6*y + 60. Let x(l) = -l**2. Let q(g) = u(g) - 6*x(g). Calculate the smallest common multiple of q(10) and 84.
420
Let f = -7167 + 150475/21. Let d = -391687/153 + 64206/17. Let o = 1219 - d. Calculate the common denominator of f and o.
63
Let c(z) = 7*z - 31. Let p(w) = 3*w**3 - 2*w - 1 + 0*w**3 - 9*w**3. Let a be p(-1). Calculate the lowest common multiple of 38 and c(a).
342
Suppose -m = -10 - 2. Let o(w) = -2*w**3 - 49*w**2 + 22*w + 24. Let a be o(-25). What is the common denominator of -91/8 and 2 - 22/m - 381/a?
88
Suppose -8*b - 7 = 49. Let v be (-142404)/19936 - (-3)/b. Let a = v - 116/89. What is the common denominator of -11/42 and a?
168
Suppose -5*z - 2*p = 32, -3*p + 6 = -z - 14. Let i be z - (-2 + 4/(12/(-3))). What is the smallest common multiple of 6 and 3/((-3)/2)*(-1 + i)?
12
Let s = -430 + 3838/9. Let r = 2047587942/1664435 + -1/332887. Let j = 110003/90 - r. Calculate the common denominator of s and j.
18
Suppose 4*j - 9*j = m - 42, j + 3*m - 14 = 0. Let a(f) = -297*f + 11. Let b be a(j). What is the common denominator of 2/(-7) - (b/70 - -4) and 49/2?
2
Suppose -57*d + 124800 = 23*d. Calculate the smallest common multiple of d and 104.
1560
Let i be (-109)/(-3) - 44/33. Suppose 4*n + 2*w - 133 = -i, -n = -4*w - 20. What is the least common multiple of 180 and n?
360
Let q = -2467/42 - -564/7. What is the common denominator of -59/3235 and q?
19410
Suppose z - 15 = -4*z + 5*x, -z + 5*x + 19 = 0. Let b = 5/2312 - -68149/25432. Calculate the common denominator of (z - -5) + (-645)/80 and b.
176
Let k be (3/15 + 1192/(-2960))/(-2 - 16). Let c = 28468715015/444 + -64118690. Let o = c - k. What is the common denominator of -73/9 and o?
18
Suppose 19*m - 20*m + 486 = 0. Calculate the lowest common multiple of m and 324.
972
Let v = 352 - 537. Let i = 128 + v. Calculate the common denominator of 65/(-858)*i/(-2) - -2 and 69/44.
44
Let v be (-2)/(-24)*(-187053 - 0)/(-3). Let z = 5189 - v. Find the common denominator of (4/10)/(3/41) - 4 and z.
60
Suppose -w - 365 - 435 = 0. Let m = -228156/217 - -7683/31. Let n = w - m. What is the common denominator of n and 145/6?
42
Suppose -j + 2*j = -3*u + 5, -3*j + 2 = -4*u. Let g(b) = -b**3 + 5*b**2 + b + 18. Let m be g(7). Let k = 78 + m. Calculate the least common multiple of u and k.
5
Let h(m) be the first derivative of m**4/2 - 2*m**3/3 + 13*m**2/2 - 23*m + 92. Let y(i) = 2*i - 10. What is the lowest common multiple of y(10) and h(2)?
110
Find the common denominator of 124*14/(-1680) + (-3)/(-5) and 45/506.
7590
Let g be (4 - -127)*(1 - 0). Suppose 12*l - 49 = g. What is the least common multiple of l and 10?
30
Suppose 0 = 5*u - 2*u - 12. Let f = -374 + 374. Suppose -34*l + 37*l - 120 = f. Calculate the lowest common multiple of u and l.
40
What is the common denominator of 544/1904 + 304/(-5082) and 12/11?
363
Let h = 9392 + -300607/32. What is the common denominator of h and (-952)/960 - (-1)/(-3)?
160
Let t = 22710961/198 + -114701. Calculate the common denominator of -107/132 and t.
396
Let x = -18948964/8071 - 663/2306. Let u = x - -2347. Calculate the common denominator of 12441/3696 + (-6)/14 and u.
112
Suppose -3*r - r + 264 = 2*i, 4*r + 366 = 3*i. Let d = -3742 - -22325/6. Calculate the common denominator of d and (-38)/3*(-7)/i.
54
Let p = 34/367 - 14001/12478. What is the common denominator of (-4 - -2) + 2354/264 and p?
204
Suppose -3*j + 8*j + 12 = 2*d, -2*d = -3*j - 16. Suppose -d*v + 422 + 40 = 0. Calculate the lowest common multiple of v and 60.
420
Let u be ((-12)/30)/(33/(-15) - -2). Let s(q) = 39*q**3 + q**2 - 6*q + 1. Let j be s(u). Let t = j - 5465/18. Calculate the common denominator of -76/33 and t.
198
Let t(z) be the second derivative of 0 + 20*z - 1/2*z**3 + 0*z**2 + 5/12*z**4. Calculate the least common multiple of t(3) and 4.
36
Let y = -15 - -44. Let i = 32 - y. Suppose 0 = -2*c - 10, i*g + 41 + 35 = -5*c. Find the common denominator of g and 59/8.
8
Let m = 16317 + -15129. What is the smallest common multiple of m and 1026?
22572
Let c = 4929509/55 - 89627. Let g = -811/148 + -10/37. Find the common denominator of c and g.
220
Calculate the common denominator of ((-8)/(-64))/(-202*(-21)/(-364)) and 89/42.
8484
Let n(a) = -11*a - 44. Let d be n(-4). Calculate the common denominator of 85/14 and (-1)/2 - (780/(-1936) - d).
3388
Let c = 35784 + -30912. What is the smallest common multiple of 696 and c?
4872
Suppose 0 = 15847*w - 15831*w - 160. Calculate the smallest common multiple of w and 3991.
39910
What is the lowest common multiple of (24 - 4)/100*795 and 90?
4770
Suppose -4*q - b + 6*b = 12, -5*q - 15 = -2*b. Let y(t) = 22*t**2 - 90*t + 3. Let a be y(4). Calculate the least common multiple of 696/60 - q/a and 4.
44
Let l(p) = 6*p + 26. Let s be l(12). Let m be (-28)/s - (-682)/(-14). Find the common denominator of 4 + (m/42)/(12/117) and -20/9.
72
Let k = -31743277/1309 - -24250. Find the common denominator of 37/51 and k.
3927
Calculate the lowest common multiple of 20 and 17782/136 - (0 - 10) - 9/12.
140
Let n = -718 - -760. Let p(h) = h + 6. What is the least common multiple of n and p(8)?
42
Suppose -23*f + 5*f - 270 = 0. Find the common denominator of (-2)/(-4) - (-231)/24 and ((-79)/(-48))/(5/f).
16
Let h be (-5 - (-999)/36)*-28. Let i = 767 + h. Calculate the smallest common multiple of i and 12.
780
Suppose -24*p - 13*p + 370 = 0. Suppose 4*m - 2 = 6. Suppose -p = 5*b, r + m*b - 2 = -0. Calculate the smallest common multiple of r and 6.
6
Let h(x) = 7*x - 4. Let p be h(4). What is the least common multiple of p - (2 + -2 + 0) and 8/(-12) - 740/(-30)?
24
Let b(h) = -h**2 + 12*h - 8. Let r be b(11). Suppose r*u + 12 = -u. What is the common denominator of 7/(21/106) + 1/u and 13/7?
7
Suppose -7*q + 3*q + 112 = 2*r, -8 = 2*r. What is the least common multiple of 8 and q?
120
Let h = 335127/92684 + -671/188. Find the common denominator of h and -92/435.
7395
Suppose 0 = 4*x - 69 - 15. Calculate the smallest common multiple of 3*-3*(-2)/(-16)*-8 and x.
63
Let m be 4/22 + (-2043618)/1988844. Let x = m + -18/793. Find the common denominator of x and -1/38.
38
Let y(r) = 3*r**3 - 32*r**2 + 34*r - 7. Let p(g) = -8*g - 101. Let a be p(-14). Calculate the smallest common multiple of 10 and y(a).
2440
Let g(p) = 5*p + 2. Let d be g(2). Let x = d - 18. What is the smallest common multiple of 6 and x/9*117/(-2)?
78
Calculate the common denominator of (3/(4*1968))/((-20410)/(-2920) + -7) and 139/1476.
5904
Let y be (-6)/(-27) + -38*(-7)/18. Let c(g) = -2*g**2 + 19*g - 6. What is the least common multiple of (-1 + 8)*1/(5/y) and c(8)?
126
What is the common denominator of 6/(-308)*(-4473)/710 and 23/330?
660
Suppose -58 + 3846 = -y - 3*x, 3*y = 2*x - 11364. What is the lowest common multiple of 144 and -3 - (y/60 - 4/(-30))?
720
Let o = 1451/60 + -201/10. Calculate the common 