uppose -16*a = 422 + 218. Calculate the common denominator of -99/8 and 8 - (a/x - 4).
24
Calculate the common denominator of -43/8 and ((-22)/(-32) - 1)*1886/(-230).
16
Let t = -499148 + 32445358/65. Let d = t - 8539/1170. Calculate the common denominator of d and (-6)/(-10) + (-3)/((-300)/295).
180
Let y(d) = 4*d - 2. Let l be (-2)/11 - 57/(-11). Suppose 4*g = 4*n - 48, 3*g + 1 = n - 19. What is the least common multiple of n and y(l)?
72
Let w be (2 - 1) + 3138/1792. Let j = 1/896 - w. What is the common denominator of j and -1 - (-2 + 5/(-52))?
52
Let n be -3*31028/(-84) - 5. Let l = 1106 - n. What is the common denominator of 13/5 and l?
35
Let q = 669 - 592. Calculate the lowest common multiple of q and 121.
847
Let h(f) = -f**3 - 2*f**2 + 0*f**2 + 4*f + f**2 + 36 - 32. Calculate the least common multiple of 4 and h(-4).
36
Let r be -9*((-8)/6 + 1). Let w(l) = l**2 + l - 4. What is the lowest common multiple of 30 and w(r)?
120
Suppose 2*n = -3*n - 50. Calculate the smallest common multiple of (-1530)/(-25) - 8/n and 2.
62
Suppose -16 = 4*o, -3*s - 63*o + 439 = -58*o. What is the smallest common multiple of 27 and s?
459
Let p = 282 - 261. Calculate the lowest common multiple of p and 84.
84
Let b(s) = -s**2 - 4*s + 2. Let j be b(-3). Suppose -5*t = -j*i + 15, 3*i + 7*t + 19 = 3*t. Calculate the common denominator of 77/6 and i/3*(-90)/(-4).
6
Let w = -2523 - -27408/11. Let j = -304/11 - w. Find the common denominator of 1068/280 - (-4)/14 and j.
110
Let w = 9465/8 - 1177. Find the common denominator of 185/2*8/80 and w.
8
Suppose 5*c = -26 + 81. Let z(b) = 5*b**2 + 2*b + 1. Let x be z(-1). Suppose 8*g - 8 = x*g. What is the least common multiple of g and c?
22
Suppose 20*f = 25*f - 60. Suppose 400 = -f*a + 32*a. Calculate the smallest common multiple of (-18)/1*2/(-3) and a.
60
Let w(k) = -k**3 - 2*k**2. Let x be (4 - 3) + -4 + 7. Suppose -v + x*v + 5*f - 34 = 0, 0 = 3*v - 2*f + 1. Calculate the smallest common multiple of w(-3) and v.
9
Suppose 4*p + 944 = 4*y, 0 = 4*y - y + 4*p - 715. What is the lowest common multiple of 7 and y?
1659
Suppose g - 5*g = -16. Suppose g*i - 44 = -0*i. Calculate the smallest common multiple of 7 and i.
77
Suppose -3*z - 42 = -z + p, 4*z + 90 = -5*p. Calculate the common denominator of 66/(-16)*8/12 and (-6)/z + -1 + 0.
20
Calculate the least common multiple of 14/(56/90 - 20/50) and 126.
126
Let m = 46247/10 + -4620. Let s = 237361/30 + -7913. What is the common denominator of m and s?
30
Let p = 111/2 - 449/8. Suppose -49 = -5*a + 3*w, -3*a - 5*w + 21 = -4*w. What is the common denominator of p and (-16)/60*(-21)/a?
40
Suppose 5*m - 15*m + 340 = 0. What is the lowest common multiple of m and 6?
102
Let r = -931/36 + 127/9. Let s be -1 + -1 + 0 + -1. Find the common denominator of r and (-321)/198*s/(-1).
44
Suppose 3*y = 2*y - 27. Let s(g) = 3*g**2 + 28*g + 67. Calculate the lowest common multiple of s(-5) and y*(-1)/(-6)*-2.
18
Let q = -2833 + 73667/26. What is the common denominator of q and -59/6?
78
Suppose 13*o - 8*o - 60 = 0. Suppose 2*z = 2*d + o, -4*d + 3*z + 16 = 7*z. Let k(a) = 10*a**2 + a + 1. What is the lowest common multiple of k(d) and 3?
30
Let o be -17 + 22 + (0 - -1). Suppose -o*z = -8*z + 14. Let q(h) = -4*h - 6. What is the smallest common multiple of q(-4) and z?
70
Suppose -5*y + 21 = -2*y. What is the common denominator of 20/13 and (2 - -1) + 20/y + -4?
91
Let f be 1/3 + 368/12. Let w = -11 + f. Let r = 576 + -566. Calculate the smallest common multiple of r and w.
20
Suppose y + 3*y + 38 = 3*c, -2*c + 33 = 5*y. What is the smallest common multiple of 6 and c?
42
Let r(b) = -69*b**3 - 2*b**2 + 3*b + 5. What is the least common multiple of 42 and r(-1)?
966
Let y = 14138469138709/9644 + -1466037881. Let r = 4026404/40987 - 1670/17. Let i = r + y. Find the common denominator of 99/4 and i.
4
Calculate the common denominator of (-1)/3 + 10128/13968 and -73/2.
194
Let w = 13 + -9. Suppose 3*s - 2*p - 3*p = -4, -w*s + 5*p = 7. Let x(o) = 4*o**2 + 5*o + 5. Calculate the smallest common multiple of x(s) and 6.
78
Let p = 38501/744 - 1776/31. Calculate the common denominator of p and -29/24.
24
Suppose 80 - 95 = -14*h + 153. Suppose 8 = 2*a - 2*m - 3*m, -5*a = -3*m - 58. Calculate the smallest common multiple of a and h.
84
Let r(i) = -i**2 - 5*i + 17. Let t be r(-7). Let g = 5 + t. Calculate the smallest common multiple of 11 and g.
88
Suppose -3 = 3*k + 18. Calculate the common denominator of k + 5 - 9/(-2) and 2/(0 + 4)*41.
2
Let r be 2*(2 - 11/2). Let v be 4/(-14) + 5/r. Calculate the smallest common multiple of 4 and (-1)/((5 + v)/(-20)).
20
Suppose 2*k = 3*k - p - 13, 0 = 2*k + 3*p - 16. Let n = -1 + k. Suppose -n + 14 = h. Calculate the smallest common multiple of h and 10.
20
Let v = 78/5323 + 434785/3385428. What is the common denominator of v and -53/6?
636
Let b be 2/(-14) - 248/28. Calculate the common denominator of 17/16 and (b/(-204))/((-21)/658).
272
Let x = 578609430897493/4728766904400 - 102671375/867409. Let v = x - 23/19824. Let q = -168/25 + v. Calculate the common denominator of q and 7/4.
44
Let b = -6 - -9. Suppose -2*q - b*g = -92, 0 = -q - 0*q - 3*g + 46. Calculate the smallest common multiple of q and 6.
138
Let k = 5 + -2. Suppose 2*q - 8 = -3*g + 2, -3*g - 20 = -4*q. Calculate the least common multiple of k and q/(-20) + 26*4/32.
3
Let l(m) = m**3 + 13*m**2 + 10*m - 19. Let o be l(-12). Find the common denominator of o + -8 - ((-124)/60)/(-1) and 49/3.
15
Let d = -4/889 + 59579/3556. Calculate the common denominator of d and 49/78.
156
Let t = -341 + 345. What is the smallest common multiple of 48 and t?
48
Let g be (-3)/5 + 1390/25. Suppose -2*f = 4*u - 56, 3*f - g - 13 = -5*u. What is the smallest common multiple of u and 82?
656
Suppose 3*b - 1209 = 858. Calculate the least common multiple of b and 2.
1378
Let j = -3 + -18. Find the common denominator of ((-1)/2)/(j/246) and -57/10.
70
Let d = -1 - -6. Let h = 10 + d. What is the common denominator of 158/(-10)*h/(-48) and 47/22?
176
Let n(q) = q**2 - 5*q + 2. Let r be n(4). Let j be -24 + 0 + (r - -2). Calculate the common denominator of -149/18 and 290/j + 1 - -1.
36
Let g = -7724 - -108221/14. What is the common denominator of 0 - 2*4/(-9) and g?
126
Let l(x) = -x**3 + 10*x**2 - 10*x + 12. Let n be l(9). Find the common denominator of -1 + n*93/(-126) and 35/2.
14
Find the common denominator of ((-111)/162 + 0)/(34/(-51)) and -95/188.
1692
Let m = -1416493591/44 - -32195440. Let p = m + -2404. Let u = 187 + -1328/7. Calculate the common denominator of u and p.
308
Suppose 8 = 4*w, -b - 4*w = 39 - 128. Let l = 79 - b. What is the common denominator of -37/6 and l?
6
Suppose 1638 = 133*t - 112*t. What is the lowest common multiple of 48 and t?
624
Suppose -3*u - 29 = 2*k - 6*k, 6 = -2*u. Calculate the lowest common multiple of 80 and k.
80
Suppose 3*w - 10 = -4. Calculate the least common multiple of 637/98*4/13 and 58 + (-5)/((-5)/w).
60
Let k(m) = m**3 - m + 18. Let a be k(0). Let d = 20 - a. Suppose 3*z + 15 = d*z. Calculate the common denominator of -119/30 and z.
30
Let x = 9/11 - -4920/77. Let v = 65 - x. Calculate the common denominator of 8*(-2)/(-84)*-27 and v.
7
Suppose 4*v + 12699 = -3*y, -2*y + 3*y = 3. Let a = 44367/14 + v. Let b = -2251/4 + 574. What is the common denominator of a and b?
28
Let y = 182/3 + -1345/24. Let a = -1389/3640 - -3/455. Find the common denominator of y and a.
8
Let o(d) = -d**3 - 12*d**2 - 40*d - 15. What is the smallest common multiple of 51 and o(-6)?
153
Let m = 2/19729 - -848107/2367480. Find the common denominator of 85/84 and m.
840
Suppose -3675 = -2*z - 3*z. Let i = -6640/9 + z. Calculate the common denominator of -32 and i.
9
Calculate the common denominator of (1131/(-104))/(1 + (-350)/8) and 51/14.
798
Suppose 0 = 2*f + 3*n - 11, 3*f + 4*n - 21 = n. Suppose 208*d = 225*d - 68. What is the smallest common multiple of d and f?
20
Suppose -748*v = -741*v - 1218. Calculate the least common multiple of v and 27.
1566
Let p(n) = n**3 - 11*n**2 + 14*n - 20. Suppose 9*l + 20 = 4*f + 12*l, -4*l = -16. Calculate the lowest common multiple of p(10) and f.
20
Let y = -31 - -31. Find the common denominator of 125/36 and (-49)/27 - (-7)/(-14)*y.
108
Let b(f) = -f -