11 + 18. Let n = 8909 + -8899. Calculate the smallest common multiple of o and n.
70
Suppose 37*k + 28*k = 4160. Let r(j) = j**3 - 5*j**2 - 2*j + 14. Calculate the smallest common multiple of k and r(5).
64
Suppose -160*l + 691*l = 213462. Calculate the lowest common multiple of l and 198.
13266
Let q(w) = -24 + 19 - 2*w - 66 + 9*w. Let d be q(11). Calculate the common denominator of -68/9 and 36/(-24) + (-56)/d.
18
Suppose 2*j = 4*g + 28, 0*j + 15*g + 66 = j. Calculate the least common multiple of 214 and j.
642
Let u(f) = -6*f. Let j be 1056/36 + 1/(-3). Let x = -11 + j. Calculate the lowest common multiple of x and u(-3).
18
Suppose 0 = 5*f - 4*t + 17, 2*f - 4 = -2*t - 0. What is the smallest common multiple of 4 and ((-1050)/12)/((-2)/(-8))*f?
700
Let j = 107 + -107. Suppose j = -14*k + 109 - 25. Suppose -5*v = -2*v - 60. What is the smallest common multiple of v and k?
60
Let d = -23894 - -23918. Suppose 5*x + c + 7 = 35, c + 2 = 0. Calculate the smallest common multiple of x and d.
24
Let h(u) = u + 21. Suppose 2*s = 4*n - 70, -12 = -2*s - 10. What is the least common multiple of n and h(-3)?
18
Let h = -43 + 45. Suppose h*l + 261 = -l. Let p = l - -105. Calculate the lowest common multiple of 4 and p.
36
Calculate the common denominator of -39/950 and 8671/(-17632)*(-4)/5 + (-14)/(-140).
3800
Let u be 0 + (-9)/6 - 322/(-4). Let a = u - 760/9. What is the common denominator of 131/30 and a?
90
Calculate the lowest common multiple of (-636)/8*80/(-30) and 52.
2756
Suppose 29 = -4*m + 5*j, 9*m - 4*m = -2*j - 28. What is the lowest common multiple of 4 and 1/(-1)*m*6/4?
36
What is the common denominator of 2 and ((-48)/(-1580))/(18 + (-268)/15)?
79
Let g be (536/700)/((-12)/130). Let i = g - -23/3. Calculate the common denominator of 41/49 and i.
245
Suppose -12*c + 1605 = 13*c - 645. What is the smallest common multiple of c and 130?
1170
Calculate the smallest common multiple of -4979*17/(-663) - 2/(-6) and 40.
640
Suppose -5206 = -8*p + 103*p - 61351. What is the least common multiple of p and 30?
5910
Let r = 68 + -66. Suppose -2*a + 7*a + 12 = r*k, -2*k + 4 = -a. Let n = 105 + -102. Calculate the least common multiple of k and n.
3
Let t(o) = -10*o**2 - 90*o + 112. Let k(x) = 22*x**2 + 179*x - 225. Let z(p) = 4*k(p) + 9*t(p). Calculate the least common multiple of 392/6*9/6 and z(-48).
588
Let k = -291016/7011157 - -72/6761. What is the common denominator of k and -53/102?
6222
Let y = 5371 + -48271/9. Calculate the common denominator of y and 17/1737.
1737
Suppose -16920 = -95*k + 99*k. Let u = k + 76111/18. Find the common denominator of u and (-42)/(-3)*22/(-8).
18
Calculate the common denominator of -25/216 and (2022/(-56))/((-1512)/(-16)) + 70/245.
10584
Let p be (5 - (-1 - -5))*-302 + 2. Find the common denominator of 39/340 and (-7025)/p - 3/(4*3).
1020
Let i = -13013 + 13963. Calculate the smallest common multiple of i and 5.
950
Suppose -5*m + 3*o - 63 = 6*o, -3*m = -2*o + 53. Find the common denominator of 16/(-27) - (-4)/(-2) and m/16*(-2 + (-20)/45).
216
Let t = 74 + -71. Let c(a) = a**2 - 10*a - 5. Let n be c(8). Let k(j) = j**3 + 23*j**2 + 42*j + 7. What is the least common multiple of t and k(n)?
21
Calculate the common denominator of -33/8 and (-5)/412*(226/(-42))/((-175)/(-105)).
5768
Suppose -436*d + 5071 = -106*d - 8789. What is the lowest common multiple of d and 498?
3486
Suppose 0*n - 12*n + 24 = 0. Suppose 0 = n*f - 3*c + 8*c - 22, 3*f - 12 = 3*c. Suppose -18*r = -189 + 9. What is the least common multiple of r and f?
30
Let k = 15293/22 + -700. Let o be (-2 - 0)*41225/10. Let n = -1368635/166 - o. Find the common denominator of k and n.
1826
Let j = 89 + -86. Suppose 141 = -3*n - j. Let k = n - -54. What is the smallest common multiple of k and 34?
102
Let g be (35/7)/((-30)/12). What is the least common multiple of 93 and 1 + g + 81 + 19?
3069
Suppose 42*i + 2707 = 47*i - 3*u, 4*i + 4*u - 2204 = 0. Calculate the least common multiple of 70 and i.
7630
What is the least common multiple of 54 and (10 - 952)/(-6) + 5?
162
Let c = 661331831/33 + -20046993. Let h = -6633 - c. Find the common denominator of (-14)/12*(-97)/14 and h.
132
Let i be ((-22)/(-6))/1 + 1/3. Suppose f + x = -3*x + 41, 0 = -5*f - 3*x + 222. What is the smallest common multiple of (-5 + 16/i)/(3/(-27)) and f?
45
Let k(q) = 41*q + 152. Let z be k(-4). Find the common denominator of -31/140 and 3966/(-4200) + z/(-150).
140
Suppose 0 = -4*t - 4*t + 5*t. Suppose -6*w = -t*w - 270. Suppose 0 = 2*q + w - 59. Calculate the lowest common multiple of 8 and q.
56
Let x(s) = 20*s - 4. Calculate the least common multiple of x(5) and (-31 + 2812/95)*-5 + 58/2.
288
Suppose b = 5 - 16. Let o(j) = -j**3 - 14*j**2 - 36*j - 13. Calculate the smallest common multiple of 44 and o(b).
220
Let v(k) = 77*k + 15. Let b be v(-6). Let a = b - -87. Calculate the common denominator of 2853/a + 1/(-5) and -6/11.
88
Let i be 2523036/(-168) - 8/2. Let v = 15030 + i. Find the common denominator of 287/21*(-2)/(-12) and v.
126
Let b(l) = -2320*l + 13934. Suppose -3*o + 410 = 2*o. Calculate the lowest common multiple of o and b(6).
574
Let d = -2 - -5. Let r = 3458 + -3451. Calculate the lowest common multiple of d*(14/3)/2 and r.
7
Let n(c) be the first derivative of -2*c**4 + c**3 + 3*c**2/2 - 4*c - 68. Calculate the least common multiple of n(-3) and 16.
1840
Let q = -5334 + 224081/42. Calculate the common denominator of 23/28 and q.
84
Let v = -9968715944 - -129447683052/13. Let u = v + 260085541799/23218. Let q = u + 2/893. Calculate the common denominator of 1/88 and q.
88
Let r = 172 + 370. Let l = 547 - r. Calculate the lowest common multiple of 646 and l.
3230
Suppose 4*q = -65 + 81. Suppose 0*y + 3*y - 80 = q*u, 2*u = 3*y - 70. Calculate the smallest common multiple of 178 and y.
1780
Let w = -92/591 - 18425/9456. Let i be 4/(-5)*(-24663)/(-1848). Let b = i + 29/77. Calculate the common denominator of b and w.
240
Let n(c) = 12*c - 23. Suppose -3*j - 4*j = -14. Calculate the smallest common multiple of n(j) and 758.
758
Let k = 918179/210 + -30630/7. Let n be (-10)/(-6)*15608/(-7672). Let a = n - -4/411. Calculate the common denominator of a and k.
210
Let g = -69355249/515852100 - -2/573169. What is the common denominator of g and -52/15?
900
Let y(f) = f**3 + 12*f**2 + 17*f + 70. Let s be y(-11). Suppose -s*n + 10*n = 12. What is the least common multiple of 10 and n?
10
Let r = -1117 - -1174. What is the least common multiple of r and 99?
1881
Suppose 0 = 4*w - 0*w + 2*g, -5*w + 3 = g. Suppose -3*b - 45 = 5*z - 109, -36 = -2*b - 5*z. Calculate the least common multiple of w and 42/b*4/3.
2
What is the lowest common multiple of 204 and (25 - -415) + (-1 - -3)?
2652
What is the least common multiple of (-58 + 22)*14/(-21) and 2?
24
Find the common denominator of 14/639 and (207756/(-11502) - -5) + 13.
639
Find the common denominator of 112/392 - (-1138)/(-2856) and -127/30.
1020
Let s = 69/5 + -367/15. Let c = 22 - 36. Calculate the common denominator of (-3)/9 - 12/c and s.
21
Calculate the least common multiple of 9 and 92 + (-33)/11 + 0.
801
Suppose 5 = x - 0. Suppose 0 = -x*k - 46 + 116. Calculate the smallest common multiple of (-11)/((-44)/144)*(-7)/(-14) and k.
126
Let g = 1621497001/2691 + -602563. Find the common denominator of g and 31/11.
29601
Suppose 13*t - 96 - 196 = -60*t. Calculate the smallest common multiple of 14216 and t.
14216
Let p be 15/(-12) - 136353/12. Let j = 113747/10 + p. Find the common denominator of -53/18 and j.
90
Let f = 16373915/288 + -56854. What is the common denominator of f and -131/636?
15264
Suppose 0 = 11*s - 20*s + 20232. Suppose -s - 4820 = -6*o. What is the lowest common multiple of 8 and o?
4712
Suppose -2*l = 4*x - 60, 2*x + 57 = 2*l + 5*x. Suppose 2*n = -2*v + 26, -37*n - 3*v = -36*n - 7. What is the lowest common multiple of n and l?
48
Let w = -248 + 134. Find the common denominator of (w/9)/((-16)/60) and -1/8.
8
Let f(u) = u**3 + 17*u**2 - 234*u + 30. Calculate the lowest common multiple of 30 and f(9).
30
Let f = -433 - -146. Let v = -260 - f. Calculate the smallest common multiple of ((-3)/2)/(2/(-16)) and v.
108
Let g = 2985/4 + 381/4. Let w = g + -50557/60. What is the common denominator of 13/30 and w?
60