d the common denominator of 2185/(-304) + ((-20)/(-2))/y and l.
16
Find the common denominator of 89/192 and 5 + 1 - ((-213365)/(-5760) + -11 - 20).
1152
Suppose 86*d + 141 = 89 + 2890. What is the smallest common multiple of 624 and d?
6864
What is the smallest common multiple of (106/4)/(-1 - (-261)/232) and 2?
212
Let y(s) = -7*s**2 + 271*s - 13. What is the smallest common multiple of 427 and y(36)?
4697
Let c be ((-2838)/(-215))/(2/(-130)). Find the common denominator of -7/22 and -2 + ((-58)/(-4))/(c/(-176)).
858
Find the common denominator of 149/192 and 12582/768 + -16 - 0.
384
Let m be (-569 + -1)*((-15)/(-10) + -2). Suppose -294*q + m*q + 549 = 0. Calculate the smallest common multiple of 7 and q.
427
Let x = 6 + -100. Calculate the common denominator of (x/(-132))/((-110)/15 + 7) and 145/(-7)*91/(-78).
66
Suppose -12*w - 15 = 129. Let h be ((w/(-45))/2)/(68/2965). Let f = 402/17 - h. Find the common denominator of 151/18 and f.
18
Suppose -4*i - 16 = -2*c, 0*i + 1 = c + 5*i. What is the lowest common multiple of c and ((-44)/6)/(31/(-93))?
66
Let g be 0/((-15)/5 - -6). Suppose g = 5*r - 15, 63 = 2*l - 8*r + 9*r. What is the least common multiple of l and 12?
60
Suppose -20*x + 3140339 = -x. Let r = -40328633/244 + x. Let d = -2/61 - r. Calculate the common denominator of d and -31/2.
4
Let q = -92 + 168. Calculate the lowest common multiple of q and (2 + 1)/((-1)/(-2)).
228
Suppose -i = -2*w + w, -3*w + 12 = 3*i. Let p = -47 - -71. Suppose 0 = -23*h + p*h - 14. What is the smallest common multiple of h and w?
14
Let v(j) = 2*j**2 - 2*j - 4. Let a = 27 - 561. Let k = a - -564. Calculate the smallest common multiple of k and v(-4).
180
Let c be (-10)/(-4)*-5*4/(-10). Calculate the smallest common multiple of c + 2/(-5)*(-40)/(-16) and 2.
4
Let m = 16463869/3042 - 48710/9. Calculate the common denominator of m and 27/4.
2028
Suppose 5*g - 48 = 27. Let l = 66 - g. Let p = -45 + l. What is the smallest common multiple of p and 2?
6
Let t be (-5146)/(-8)*1 + (-3)/(-4). Let c = -487 + t. Calculate the lowest common multiple of 8 and c.
1256
Suppose n = 5*y + 38, -y - 14 = 2*y - 5*n. Let r(d) = 2*d + 25. Let w = -208 + 867/4. What is the common denominator of r(y) and w?
4
Suppose -3*s = -2*s - 4. Let r be 0*(-2)/(-10) - 0. Suppose r*d - 30 = -5*d. What is the least common multiple of d and s?
12
Suppose 986*z - 1424 = 935*z + 2044. Let g = -6 + 9. Calculate the lowest common multiple of z and g.
204
Suppose 5*a = 2*y + 32, a - 28 = -4*a - 2*y. Calculate the lowest common multiple of 21 and a/(-27) + (-34)/(-9)*8.
210
Let l(q) = -q**2 + 20*q + 19. Let f be l(21). Let n = -398 - -3568/9. What is the common denominator of n and -1 - 2/(-18)*f?
9
Suppose 0 = -d + 5*d - 80. Let v be ((-1)/(-2))/((-2)/(-8)). Suppose -33 = -4*p - 5*i, v*p = -2*p + 3*i + 57. Calculate the least common multiple of d and p.
60
Let f(k) = 366*k + 2200. What is the least common multiple of 80 and f(-6)?
80
Let q = 41 - 37. Suppose q*h = -8*h + 480. What is the least common multiple of h and 2?
40
What is the common denominator of (-155)/93 - (-68)/(-24)*(-18)/4 and (34/(-6))/(1860/18)?
1860
Suppose -1010 = -4*p - u + 2371, 4*p - 3387 = u. What is the smallest common multiple of p and 4230?
4230
What is the common denominator of -23/812 and 5487/168 + -18 + -15?
1624
Let m be 2 + 285/(-10) + 2/4. What is the common denominator of 1131/m*10/36 and 2/(144/(-213)) + 2?
24
Let v = -238 - -245. Suppose c - 24 = -2*s, -c + 3*s = v*s - 24. Calculate the smallest common multiple of c and 24.
24
Suppose 4186 + 9009 = 29*o. What is the least common multiple of o and 11?
5005
Find the common denominator of 62/(-396) + (-2032)/2286 and -23/51878.
570658
What is the least common multiple of 456 and 2/(-24) - (-57 - -64 - (-1957)/(-12))?
5928
Let t(c) = 1421*c**2 - 4*c - 2. Let z be t(-1). Let q = z + -946. What is the common denominator of ((-4)/36)/((-51)/q) and 59/30?
510
Let i = -294675 + 4714747/16. Find the common denominator of i and 1/(-4)*(-218)/(-387).
6192
Let v(k) = k**3 - 2*k**2 + 3*k + 12. Let d be v(0). Calculate the least common multiple of 15 and (d/9 + (-2)/(-3))*111.
1110
Let r = -14255 - -299437/21. What is the common denominator of r and 103/474?
3318
Let h(z) = -2*z**2 + 18*z + 16. Let u be h(-5). Find the common denominator of u/72 - (1 - 7) and -31/24.
72
Let n = 132575/2106 - 2438/39. Find the common denominator of -23/102 and n.
2754
Suppose 5*y + 3*p - 621 = 0, p = y - 3*p - 115. Suppose 64*x - y = 133. Suppose -s + 0*s = -12. What is the lowest common multiple of s and x?
12
Let q be (3 - 0)/((-3)/4). Let b be (2/(-4))/(q/24). Suppose -b*p + 55 = 37. What is the smallest common multiple of p and 10?
30
Let h = -505 + 1605. Calculate the least common multiple of 400 and h.
4400
Let k(h) = 3*h**2 - 16*h + 22. Let l be k(3). Calculate the common denominator of (-4029)/300 + 12 - l/4 and 17/55.
275
Let s = -1053687322/14815 - 2355/2963. Let h = s + 6455867/90. Let y = h - 600. Find the common denominator of 29/21 and y.
126
Suppose -5*c = 21 - 81. Let j(z) = -38*z + 156. Let x(k) = -116*k + 470. Let b(s) = 16*j(s) - 5*x(s). Calculate the lowest common multiple of b(5) and c.
12
Suppose -2*y + 601 = w, -4*w = 6*y - 8*y + 586. Let p = -2099/7 + y. What is the common denominator of p and -49/100?
700
Suppose 0 = 3*t - 5*y - 54, 58 = 2*t - 4*y + 8*y. Let x = -12 - t. Calculate the common denominator of ((-6)/8)/((x/(-270))/1) and -77/20.
140
Calculate the common denominator of ((-3)/(-124))/(90/440) and (-1)/((-12)/3) - (-197)/(-36).
279
Suppose -6*t + 720 = 10*t. Suppose -3*m = 5*o - t, 0 = -5*o - m - m + 40. What is the lowest common multiple of o and 9?
18
Suppose 4*k - l = 2*k + 11, -3*k = 5*l + 16. Let s = k + -44. Let j = s + 74. What is the smallest common multiple of j and 21?
231
Suppose -4502 = -3*z - 3*k - k, 0 = 2*k + 8. Suppose 12*f + 498 - z = 0. Calculate the lowest common multiple of 108 and f.
756
Let s = 327067/291256 - 3/5944. Calculate the common denominator of -109/182 and s.
1274
Let c = -8039 + 10039. Calculate the smallest common multiple of 160 and c.
4000
Let m = 103 + 97. Let o = -196 + m. What is the least common multiple of 36 and o?
36
Let y = -855683/131 + 6532. Let p = 5964772 + -4688316217/786. Let t = y + p. What is the common denominator of t and 23/4?
12
Calculate the common denominator of (0 - (-798)/(-27))/(-8 - (-42616)/(-42)) and -32/15.
23010
Let r = 69 + -44. Suppose 5*b + r = -5. What is the common denominator of b/8 + (2709/14)/(-9) and -97/20?
20
Let o be ((-2)/48)/((-21)/(-812)). Let d = o - -277/144. What is the common denominator of d and 3*-1 + 1 - 441/140?
80
Suppose -5*z + 151 - 35 = 4*l, -z = 2*l - 52. Calculate the least common multiple of l and 3496.
10488
Let q be (-2)/(-10) + 24/5. What is the common denominator of (-10)/(-164)*(-73)/q and (-8 + (-426)/(-24))/((-2)/(-1))?
328
Suppose -1 = 2*f - 5. Let d(z) = -11*z - 13. Let n = 94 - 97. Calculate the least common multiple of d(n) and f.
20
Let z = 2479/98280 + -38/1755. Calculate the common denominator of z and -13/1120.
1120
Let a = -45 + 39. Let t(c) = c**2 + 5*c - 3. Let m be t(a). Suppose -4*o + m*r + 27 = 0, -3*o - 5*r = -3 - 10. What is the smallest common multiple of 7 and o?
42
Suppose 11*w - 1500 = -4*w. Find the common denominator of 97/8 and (111/(-45))/((-520)/w).
312
Let n(b) = -5*b - 191. Let g be n(-40). What is the least common multiple of g + (13 + -8)/(-3 + 4) and 12?
84
Let c(u) = -u**2 + u + 33. Let t(w) = 3*w - 9. Let j be t(5). Suppose q = j*q - 3*q. What is the least common multiple of 33 and c(q)?
33
Let g(f) = f**3 + 3*f**2 + f + 9. Suppose 3*p - 7*p - 9 = 3*s, 5*s = -3*p - 4. Calculate the smallest common multiple of 5 and g(p).
30
Suppose 0 = 2*d - 77 - 3. Let v = d - 0. What is the lowest common multiple of v and (-47 + -1)*8/(-12)?
160
Let g = -25165 + 80815/3. Let j = g - 1794. Let d = -389/3 - -126. Find the common denominator of d and j.
3
Let a = 7103/24836 - 1/3548. Find the common denominator of a and 58/9.
63
Suppose 0 = 168*u - 100*u - 136. What is the smallest common multiple of 70 and u?
70
Calculate the common denominator of 220/12*(-204)/(-94860) and 70/711.
22041
Calculate the common denominator of -37/280 and 0