).
180
Let r be -5*((-3)/3 + 0). Suppose -m + 2*m = u + 7, 3*u - 43 = -r*m. Calculate the least common multiple of 4 and m.
8
Let y = -90/7 - -1199/84. Let c be ((-36026)/(-10) + 0)*(-40)/(-32). Let i = 4527 - c. Find the common denominator of y and i.
12
Let o(p) = p**2 - 2*p - 4. What is the smallest common multiple of 19/2*(8 - 2) and o(4)?
228
Let o = -6790/9 + 2246/3. What is the common denominator of o and -5 - ((-3248)/144 + 12)?
9
Let h be (-12)/9 - 2/3. Let j = h + 8. Let v = -2233 + 2251. Calculate the least common multiple of v and j.
18
Calculate the lowest common multiple of (-5)/15*(-29 + -1) and (1 - -3)/((1 - 7) + 4) + 42.
40
Calculate the common denominator of -14/18913 and 3*16/8 + 2 - (-12)/9.
56739
Let f(d) = -d**2 - 842*d - 4181. Calculate the least common multiple of -1*-218*(2 + -1) and f(-5).
436
Suppose 0 = 3*y + 2 + 1. Find the common denominator of y/4 + 86/4 and (-4 - 471/(-120))*(-10890)/135.
20
Suppose h - 5 = 2*v + 69, -3*h - 4*v = -172. Let s = 98 - h. What is the least common multiple of s and 5?
170
Suppose 0 = 12*y - 44 - 16. Suppose a - 2*n + 3 = 11, y*n = -a - 6. What is the least common multiple of 1 and a?
4
Let v be 158482/(-78) + 2/(-6). Let k = -3275423/1612 - v. Let w = k - 49/31. Find the common denominator of 4/5 and w.
260
Suppose 4*j + 12 = 4*d, -3*j + 16 = d + d. Suppose -b - 4 = -2*i - 9, d*b = 4*i + 25. What is the smallest common multiple of 160 and b?
160
Suppose -d = 7*f - 4*f - 23, 0 = 3*d - f - 89. Let x = 29 + d. What is the least common multiple of x and 10?
290
Let o(y) = 17*y - 190. Let q be o(11). Calculate the smallest common multiple of q/20*-212 + 1/5 and 24.
96
Let u = -49288055/11 + 4477512. Let q(n) = -20*n**2 - 11*n + 14. Let r be q(-13). Let j = r - u. Calculate the common denominator of j and -15/2.
22
Let x = 4375288 - 42790315153/9780. Let k = x - 1/489. What is the common denominator of 27/160 and k?
160
Suppose -a - 3*i + 30 = 0, 6*i - 4*i - 44 = -2*a. Let l(h) = -5*h + 5. Let k be l(4). Let n = 7 - k. Calculate the smallest common multiple of n and a.
198
Let k be ((-364)/21)/((-2)/3). Calculate the common denominator of 22 + -16 - ((-6)/(-15) + (-3545)/(-450)) and ((-1)/11)/(2/k).
198
Suppose -3*w + 6 = -3*g, 0 = w + 2*g + 3*g - 8. Calculate the common denominator of -2 - (-8)/w - 65/(-225) and -91/8.
360
Suppose -k = 3*d - 129, -5*d - k + 5*k = -198. Let y(q) = -q**2 - 11*q + 101. What is the least common multiple of y(-16) and d?
42
What is the common denominator of -1/72 and 538/(-504) - 407/(-814)?
504
Let a = 112249/12 - 9362. Let o = 228296/868527 + -2/8773. What is the common denominator of a and o?
396
Let v be (2448/(-1955))/(2/(20/7)). Let x = 22343/3220 + v. What is the common denominator of x and 92/45?
180
Suppose 0 = 5*h - 5*m + 15, 0*h - 3*m + 23 = 4*h. Let p = 105914 + -317722/3. Calculate the common denominator of (-4)/h + 231/144 and p.
48
Let y(h) = -h**2 + 2*h + 12. Let u be y(5). Let l be (u - 0)/(33/(-44)) - -2. Let x(m) = m - 4. Calculate the lowest common multiple of x(l) and 4.
4
Let y(s) = -354*s**3 + 3*s**2 + 3*s - 20 + 353*s**3 + 6*s**2 + 16*s**2 - s**2. Let v = -5 - -29. What is the least common multiple of y(v) and 2?
52
Let n = -27594264/275 + 100343. What is the common denominator of n and 117/20?
1100
Let j(l) = -26*l + 218. Let p be j(8). Suppose 6*z + p*z = 720. Calculate the smallest common multiple of 6 and z.
90
Let n(f) = 3*f**2 + 48*f + 15. Let b be n(-16). Suppose -b = 4*m - 63. Calculate the least common multiple of 424 and m.
1272
Let k(t) be the first derivative of -9*t**2/2 + 7*t + 15. Let d be k(1). What is the lowest common multiple of 8 and 8/(-6)*((-290)/4 - d)?
376
Suppose s - 432 = 5*s. Find the common denominator of ((-3)/s)/(3/44) and (-287)/12*2/(-28).
216
Let u = -776594 + 1739570631/2240. What is the common denominator of u and 39/1792?
8960
Let t = -123 - -121. Let r be ((-96)/(-10))/(t/15). Calculate the common denominator of ((-1)/r*-97)/((-16)/(-24)) and 55/3.
48
Let j be (-266)/(-56) - 2/(-8). Suppose 0 = j*z + 5*o - o - 141, -2*z + o + 59 = 0. Calculate the smallest common multiple of z and 10.
290
Calculate the common denominator of ((-1908)/(-32224))/((-6)/4*10/(-12)) and -14/9.
1710
Let b(p) = p**2 + 6*p - 12. Suppose 11*r - 26 = -4. Let j be b(r). What is the least common multiple of 0 + (j - 7) + 6 and 7?
21
Let u = -6171 + 6211. What is the smallest common multiple of u and 1012?
10120
Let a be (-9 - -5)*6/3. Find the common denominator of 37/(-20 - a/(-4)) and -6/7.
154
Let k = -57431/11118 + -2/1853. Let o = -1114668 - -20056327/18. Let l = 427 + o. Find the common denominator of k and l.
18
Let f(o) = o**3 - 3*o**2 - 5*o + 250. Calculate the least common multiple of f(0) and 300.
1500
Suppose 4*q + 1224 = -8*q. Let l be q/(-467330)*20/18. Let v = l + 420553/181434. Calculate the common denominator of v and 15/4.
44
Let x = 241631/7 - 310978649/9009. What is the common denominator of -119/90 and x?
12870
Let p = 7579 - 7454. What is the lowest common multiple of 1000 and p?
1000
Suppose 0*q + 3*q = 96. What is the common denominator of 358/120 + (-3)/12 and (-3 + -1 + 3)/((-10)/q)?
15
Let h = -21575 + 668821/31. Find the common denominator of (-3)/6*(-104)/(-9) and h.
279
Let u = 210 - 212. What is the smallest common multiple of (u - 1) + 5 - 1 - -7 and 22?
88
Suppose -4*i = r - 376, r + 5*i - 344 = 31. What is the least common multiple of 912 and r?
4560
Suppose 4*f - 4958 = -5*n, 149*f - 144*f - 2*n - 6214 = 0. What is the least common multiple of f and 96?
19872
Find the common denominator of -21/50 and -10 - (1/(-15))/((-90)/(-11595)).
450
Let m be 6/(-8) - 44420/16. Let i = m + 22281/8. Let o = 1657/196 - -19/147. Calculate the common denominator of i and o.
24
Let r = -145 - -147. Calculate the common denominator of 8/(-20) + (128/45 - r) and 32.
9
Let k = 1415774 + -3049577251/2154. Find the common denominator of -32/5 and k.
10770
Suppose 0 = -45*p - 39*p + 89*p - 690. Calculate the least common multiple of p and 1104.
1104
Suppose 0 = 5*a - 5, -4*j - 3*a + 16 = -7*a. Calculate the least common multiple of 200 and j.
200
Let u = 307 - 295. Let z(h) = h**3 - 11*h**2 + 6. Let r be z(11). Suppose 0 = 10*x - 9*x - r. Calculate the lowest common multiple of u and x.
12
Suppose -2*h = -3*s - 10, -2*s + 14 = -4*s + 5*h. Find the common denominator of (51/17)/((-13)/3 - s) and -41/9.
63
Suppose -32 = -2*z - 0. Let v(y) = y**2 + 14*y + 13. Let a be v(-15). Let g = a - z. What is the lowest common multiple of 4 and g?
12
Suppose 0*d + 60 = -5*d. Let p(r) = r + 17. Let a be p(d). Suppose 4*x - 16 - 1 = 5*f, 0 = x - a*f + 7. What is the smallest common multiple of x and 18?
72
Let l = 7809 + -7579. What is the smallest common multiple of 667 and l?
6670
Suppose -4*w + 3 = 11. Let q be ((-8567)/(-9) - w) + 4/12. Let j = 947 - q. What is the common denominator of j and -43/6?
18
Let b = 271471199/135909 - 58/15101. Let n = 1995 - b. What is the common denominator of 10/(-16) - 18750/(-5040) and n?
63
Let x(y) = -y**2 + 18*y - 84. Let c be x(8). Find the common denominator of 91/6 and (9/(-12))/(c/(-24)).
6
Let p be (0 + 10041/354)/((-1)/2). Let g = p + 227/4. Calculate the common denominator of g and -17/22.
2596
Let r = -404287709869291374/567985 - -711792934442. Let d = 1/4939 + r. What is the common denominator of 47/25 and d?
575
Let o be 80/12*9/(-1)*-1. Find the common denominator of ((-123)/12 + 2)*o/(-930) and 11/36.
1116
Suppose x = -4*o - 35, -24*o + 25*o + 170 = -4*x. Suppose 0 = -4*h - 2*j - j + 426, 5*j = -h + 98. Let s = x + h. What is the least common multiple of 7 and s?
455
Let d = 501 - -146. Let l = -2613/4 + d. Calculate the common denominator of l and 41/44.
44
Suppose -36 = 2*p - 3*b + b, -2*p + b - 34 = 0. What is the common denominator of -115/36 and 2996/(-304) - p/152?
36
Let k be 8/14*378/108. Suppose -2*o + 7 = k*b - 1, -1 = b. Suppose -5*h - 12 = -52. What is the least common multiple of h and o?
40
Let t(k) = -7*k**3 - k**2 + 5*k - 3. Let f be t(1). Find the common denominator of (15/99)/(f/180) and 19/9.
99
Let o(u) = u**3 + 9*u**2 + u - 56. Let z be o(-8). Suppose j = 2*l - 14, -l + 5*j - 11 = -z. Calculate the least common multiple of l and 66.
198
Let c = 1 + -3. Find