12 - -108427. What is the common denominator of -31/60 and w?
1680
Find the common denominator of 119/18 and ((-6)/450)/((-5)/((-8475)/12)).
180
Let g = 2267/2 + -1092. Let v = 9978 + -119809/12. Calculate the common denominator of g and v.
12
Let m = -103983249 + 141313226215/1359. Let z = m - -9/302. What is the common denominator of z and -61/80?
720
Let r be 819/(-21)*(-1)/(-3). Let w = -5 - r. Calculate the smallest common multiple of 9 and w.
72
Let l(b) = b**2 + b + 0*b - 2*b + 1 + 9*b**3. Suppose -12*q + 28 = -10*q - 4*d, 0 = -q - 2*d - 2. Calculate the smallest common multiple of l(1) and q.
30
Let t = 1458 + -1084. Calculate the lowest common multiple of 306 and t.
3366
Suppose 6*k - 25 - 11 = 0. Calculate the smallest common multiple of 10 and k/(-4) - (-86)/4.
20
Suppose 26 = 4*a + 3*y, a + 3*y + 2*y - 15 = 0. Suppose -2*j = -11 - a. Calculate the least common multiple of j and (-30)/(-40) - 49/(-4).
104
Suppose 0 = o - 6*o + 80. Suppose -3*f = 15, -444 = -5*j + 3*f + 251. Suppose -h - j = -5*h. What is the smallest common multiple of h and o?
272
Let q = 1202 - 48061/40. Find the common denominator of (171/6)/(5 - 224/40) and q.
40
Let b = -417 - -2084/5. Calculate the common denominator of b and 79/754.
3770
Let a = 3/776 + 14711/8536. Suppose 0*n - 2*n = -4. Find the common denominator of (-324)/(-8) + 1/n and a.
11
Let j(u) = -u**3 + 3*u**2 - 7. Let p be j(4). Let m(l) = -l**2 - 3*l - 2. Let s be m(-6). Let b = s - p. What is the lowest common multiple of 3 and b?
3
Suppose -6 = -3*u + 12. Suppose 2*w = u + 14. What is the common denominator of (-65)/(-48) + w/30 and -9/10?
80
Suppose i = 35 - 9. Suppose -3*g = 2*g - 2*s - 56, -5*s - 15 = 0. Calculate the smallest common multiple of i and g.
130
Let g(z) = z**2 - 8*z - 3. Calculate the least common multiple of g(-3) and 9.
90
Let g(b) = -66*b**2 + 1. Let m be g(1). Find the common denominator of 21/16 and (m/208)/((-2)/136).
16
Let i = 2030 + -36577/18. What is the common denominator of i and 69/254?
2286
Let l = -1840 + 480233/261. Let k = l + -1175/522. Calculate the common denominator of k and -85/12.
36
Let o = -11 - -14. Suppose -o*s - 1022 = y, 2*s + 4*y = -0*s - 688. Find the common denominator of -4 + 1/(8/s) and 19/6.
6
Let k(i) = 2*i**3 - 13*i**2 + 10*i - 14. Let h be k(6). Suppose -h*u = -29 - 41. What is the least common multiple of 7 and u?
7
Let d(p) = 2*p**2 + 7*p + 42. What is the lowest common multiple of d(-15) and 7?
2709
Let q = -228077/21310 + 6/2131. Let m(t) = -t**3 + 7*t**2 - 3*t - 4. Let d be m(6). Find the common denominator of q and ((-12)/16)/((-33)/d).
110
Let v be (4 - 3/3) + -7. Let d be 0 - (v - -3) - 3. Let a = 18 + d. What is the smallest common multiple of a and 16?
16
Suppose -o - 3*o = -q + 9664, 2*o + 3*q = -4818. Let u = -60327/25 - o. Calculate the common denominator of 23/20 and u.
100
Let k = 15439/8 + -1920. Let t = -72857/50 - -1459. Calculate the common denominator of k and t.
200
Let x(z) = -z**2 - 10*z - 1. Let l(g) = g. Let s(v) = -10*l(v) - 2*x(v). What is the smallest common multiple of 14 and s(-6)?
14
Let k = 157 - 141. What is the smallest common multiple of 80 and k?
80
Let v = -1/1079 - 46393/4316. Calculate the common denominator of 8/14 + (-8)/(-2688)*1929 and v.
16
Suppose 16*x - 90 = 11*x. What is the smallest common multiple of 51 and x?
306
Let v(y) = -58*y - 268. What is the least common multiple of 12 and v(-5)?
132
Let o = -17913/4 - -805771/180. Let w = -6136/9 - -681. Find the common denominator of w and o.
90
Let m = 17931/8 + -2237. What is the common denominator of m and -91/72?
72
Suppose 171*y = 192*y - 252. Calculate the least common multiple of y and 20.
60
Let j(c) = c**3 - 6*c**2 + 6*c - 4. Suppose -42*v + 41*v = -56. Suppose 12*o = 5*o + v. What is the least common multiple of o and j(5)?
8
Let b be 12 - ((-36)/4)/(-3). Let d = b + -10. Let o = d - -7. What is the least common multiple of 14 and o?
42
Let y = -1 + 3. Let u(f) = 2*f**2 - 3*f + 2. Let s be u(2). Let k = y + s. What is the smallest common multiple of 14 and k?
42
Let j = 38820 - 7259322/187. Find the common denominator of -137/102 and j.
1122
Let d = -15469 + 2103889/136. Find the common denominator of d and 71/18.
1224
Let d(a) = a**3 - 7*a**2 - 58*a + 400. What is the least common multiple of 278 and d(6)?
2224
Suppose 7*x - 3*x + 40 = 0. Let q = -7 + 59. Calculate the common denominator of 81/22 and (-6)/8*q/x.
110
Let n(f) be the second derivative of -23*f**3/6 - f**2/2 - f. Suppose -16*p = -25*p - 9. Calculate the smallest common multiple of n(p) and 22.
22
What is the common denominator of 62/561 and (-2864)/(-186) - (-142)/(-2201)?
561
Let q = 101017/34 - 14854/5. Find the common denominator of q and 67/4.
340
Calculate the common denominator of 63/1700 and (3 - 3) + 63/20.
1700
Let g = 2718 + -97855/36. Calculate the common denominator of 163/90 and g.
180
Let h = 569 - 563. Let i = -52 + 12. Let s = -24 - i. Calculate the smallest common multiple of s and h.
48
Let i = 120 + -29. Let q be (i/224)/((-5)/4). Let k = 807/40 - q. Calculate the common denominator of k and -99/4.
4
Let u = 700 + -316. Calculate the smallest common multiple of 2 and u.
384
Let q be 2766340/161904*(-2)/(-10). Let w = -2/3373 + q. Calculate the common denominator of 79/16 and w.
48
Let f be ((-1494)/42)/((-57)/10). Let i = 182/57 - f. Let n = 1739/84 - i. Find the common denominator of n and -17/2.
4
Let t = 27771/9044 + 1/1292. Calculate the common denominator of 89/8 and t.
56
Suppose 4*v - 505 = -q, -4*q - 500 = 19*v - 23*v. Calculate the least common multiple of 48 and v.
1008
Let h(s) = -3*s**3 - 7*s**2 - 8*s - 10. Let y be h(-4). Suppose y + 24 = 7*u. Let o = 17 + -5. What is the smallest common multiple of o and u?
36
Calculate the smallest common multiple of 7 + 929/8 + 10/(-80) and 1.
123
What is the common denominator of (1 + 0)*87*(-14)/252 and -14/15?
30
Suppose 24*v - 120 = 19*v + 2*b, 0 = 5*v + b - 120. Calculate the least common multiple of v and 112.
336
Let c(i) = -i**2 - 26*i - 19. Suppose h + 64 = 5*h. Let r = h + -7. Calculate the least common multiple of c(-25) and r.
18
Let j(o) = -3*o**3 - o**2 - 2*o - 1. Let p be j(-1). Let u(n) = 3*n**2. What is the least common multiple of p/(-9) + 25/3 and u(2)?
24
Let x = 1057 + -1056. Calculate the smallest common multiple of 51 and x.
51
Suppose -14 - 11 = -5*b. Suppose 4*s = 4 - 16, -2*h = b*s + 9. Let n = -3 + 10. What is the least common multiple of n and h?
21
Suppose j + j - 36 = 0. What is the lowest common multiple of j and -3*1/2*(-2 - 10)?
18
Let q = -21529/10 - -2150. Calculate the common denominator of q and 1/62.
310
Let i(y) = -53*y - 60. What is the lowest common multiple of i(-3) and 432?
4752
Let x(m) = m + 44. Suppose 4*w = 3*p + 13, 6*p = -2*w + 8*p + 8. Calculate the smallest common multiple of x(0) and w.
44
Let v(i) = -i**3 - 40*i**2 + 44*i + 127. Let r = 75 - 53. What is the least common multiple of v(-41) and r?
44
Let o be (-4)/(-10)*(3 + 2). Suppose o*i + 0*i - 44 = 0. Suppose 0 = u - 2. What is the least common multiple of u and i?
22
Suppose 9*t - 2013 - 885 = 0. Let u = 657/2 - t. Let o = 2/20009 + 1860821/160072. Find the common denominator of o and u.
8
Let j = -3735/8 - -18821/40. What is the common denominator of 6/(-12)*1280/120 and j?
60
Let m be 2104/(-14) - 4/(-14). Let q be m/10*8/(-6). Find the common denominator of 59/8 and ((-17)/(-5))/((-24)/q).
24
What is the common denominator of 7742/490*(-1)/10 and (-178)/36 + 2 - -1?
450
Let a(t) be the first derivative of t**2/2 + 19*t + 3. Suppose -4*j - n = -0*n + 57, 5*j = -4*n - 74. Calculate the smallest common multiple of a(j) and 6.
30
Calculate the smallest common multiple of 2 and ((-91)/(-21))/13*147.
98
Let f = 32 - 33. Let u be (f/2)/(15/(-16482)). Let p = -19434/35 + u. Find the common denominator of p and 71/2.
14
Let j = 22 + -12. Let o = -709 + 716. Calculate the smallest common multiple of j and o.
70
Suppose 21*h = 17*h + 8. Suppose 5*p + 20 = 0, -17*p = w - 14*p + h. Calculate the least common multiple of 20 and w.
20
Let a be 0 - ((-8)/(-4) - 19). Suppose a*u = 18*u - 6. Calculate the lowest common multiple of 24 and u.
24
Let x(g) = g**2 + 19*g - 8. Calculate the lowest common multiple of