= -m**3 - 7*m**2 + 10*m - 2. Let l be z(-8). Let j = l + 23. What is the least common multiple of j and (-21)/(-14) + 2/4?
10
Suppose -5*g = r - 31 + 478, -5*g - 4*r - 438 = 0. Let z be (2/3)/(4/g). What is the common denominator of 70/z*(-13)/16 and 82/33?
264
Suppose 3*u - 18*k = -14*k - 349, -5*u = -4*k + 571. Let n = u - -135. Let m = 32 + -8. What is the lowest common multiple of m and n?
24
Let y be ((-21)/63 - (-4)/3) + 1077. What is the common denominator of y/(-28)*(-1)/(-9) and -64/15?
90
Let f(g) = -g**3 - g**2 + 320*g - 31. Calculate the least common multiple of 552 and f(17).
1656
Let t be 4 + (-3 - -6) + -5. Suppose 24 = -t*g + 124. Calculate the lowest common multiple of 2 and g.
50
Let z = 16106601 + -322038957/20. Let t = -4652 + z. What is the common denominator of -117/160 and t?
160
Suppose 180 = -5*y + 2*y. Find the common denominator of (-291)/8*y/(-45) + -1 and -67/10.
10
Let h(a) = a**3 - 21*a**2 + 11. Let v be h(21). Suppose -v = -3*l - 2. What is the smallest common multiple of l and 45?
45
Let i = 4573/10 + -546711/1195. Find the common denominator of i and 89/1912.
1912
Suppose 3*m + 2*m = -200. Let v = -20 - m. Calculate the least common multiple of v and (-18)/(-24) - 2172/(-48).
460
Let x(h) = 11*h + 4*h**2 - 1 + 3*h**2 - 8*h**2. Let n(j) = j**3 - 3*j**2 + 5*j. Calculate the lowest common multiple of n(3) and x(10).
45
Suppose 5*b - c = 11, -2*c + 12 = c. Suppose -d = -0*d + 3*a + 7, b*d - 4*a = 44. Calculate the smallest common multiple of 16 and d.
16
Let x = 115 - -7. Let i = x + -110. What is the smallest common multiple of 15 and i?
60
Let j(p) = -292*p + 3. Let g be j(-3). Let o = -7051/8 + g. Let h = 19129/21 - 2744/3. Find the common denominator of h and o.
168
Calculate the common denominator of 34 and (13 + -25)*14/4466.
319
Suppose 0 = 48*y - 45*y + 5*k - 3426, -4*y - 2*k + 4596 = 0. What is the smallest common multiple of y and 768?
2304
Let x(i) = 44*i - 39. Let w be x(-18). What is the common denominator of (w/(-30) + -1)*(-6)/18 and 49/2?
10
Let r = 176742 - 3534773/20. What is the common denominator of r and (11 + 0)*13/(-6)?
60
Let d be (6/(-332))/((-142)/(-16) - 7). Let y = 40247/830 - d. Calculate the common denominator of y and 125/78.
78
Suppose -11*y = -2*y - 180. Suppose -110 = 15*o - y*o. What is the smallest common multiple of o and 12?
132
Let j = 26/7669 + -79389566/23007. Let r = j - -24182/7. What is the common denominator of r and (-4)/(-6) + 110/35?
21
What is the lowest common multiple of 35 + (0 + -45)/(-9) and 2875?
23000
What is the common denominator of 23/1182 and ((-266)/10 - (23 - 31))/(198/(-20))?
13002
Let u = 2/269931 + 2423729/762555075. What is the common denominator of -163/30 and u?
16950
Let i = 129034 - 163228024/1265. What is the common denominator of 13/33 and i?
3795
Let i(f) = -f**3 - 6*f**2 - 5*f + 3. Let h be i(-6). Suppose -p + h - 12 = 0. Calculate the least common multiple of 18 and p.
126
What is the common denominator of 83/60 and (19/34)/(-19)*93/54?
3060
Let b = -7418 - -8546. What is the least common multiple of 1034 and b?
12408
Let m = -2233 - -2455. What is the least common multiple of 333 and m?
666
Let f = 5 - -3. Suppose 3*s = f*s - 35. Calculate the smallest common multiple of s and 2.
14
Let p(m) = -2*m**3 + 24*m**2 + 27*m + 23. Let z be p(13). Find the common denominator of -83/4 and (-1*(-2)/28)/(z/826).
36
Suppose -10*z - 108 - 12 = 0. Calculate the common denominator of 97/56 and 8/z + (-2)/(384/(-932)).
112
Let g = 1516/303 - -31/808. Let x = 3912167 - 62574933/16. Let r = x + -1229. Find the common denominator of r and g.
48
Let b(p) = -2*p - 81. Calculate the least common multiple of 108 and b(-81).
324
Let u be (-125 + 1)*(-10)/20. Suppose -37*k - 100 = -u*k. What is the least common multiple of 28 and k?
28
Let h(y) = y**3 - 52*y**2 - 2347*y - 90. What is the lowest common multiple of h(81) and (-117)/(-15) - (-1)/5?
72
Let q = 1060/71 + -547011/36920. Find the common denominator of q and -99/2.
520
Calculate the common denominator of -24/155 and (-9)/(-6 + 3)*(-84)/(-2511).
1395
Let p be 1 - 983*(-8)/4. Let j = -23549/12 + p. What is the common denominator of ((-13939)/6312)/(16/(-6) + 2) and j?
48
Let z(o) = 9*o - 5. Let m be z(2). Let i = 18 - m. Suppose 0*v - 98 = -i*t + 3*v, 0 = v - 4. Calculate the smallest common multiple of 10 and t.
110
Let s = 12129 + -291167/24. Let b = -5123549/33 + 155257. What is the common denominator of s and b?
264
Let t = -239 + 284. Suppose 0 = 4*x + 13 - t. Calculate the lowest common multiple of 14 and x.
56
Suppose 2*u + 136 = -y + 1048, 2*y - 2283 = -5*u. What is the lowest common multiple of 442 and u?
11934
Let v = 3153 + -3152. Calculate the least common multiple of v and 1271.
1271
Let i be 44*-1 - (-1 - (-8)/(-4)). Let q be 1*-6*11*1/2. Let u = q - i. Calculate the lowest common multiple of u and 5.
40
Let o(r) = r**3 - 3*r + 3. Let z = 41 - 31. Calculate the least common multiple of o(2) and z/15 - 16/(-12).
10
Suppose 0 = -14*j + 2029 + 121339. What is the least common multiple of 14 and j?
61684
Suppose 14*v + 31 = -25. Let g(c) = 13*c + 19. Let z be g(v). Calculate the lowest common multiple of 3 and (-1645)/(-55) + (-3)/z.
30
Suppose -3*r = -5*r + 3114. Find the common denominator of -103/18 and r/459 + (3 - 7).
306
Let x(v) = -v**2 + 3*v + 23. Let w be x(6). Suppose 6*c - 8*c + 5*g + 249 = 0, w*c = -g + 582. Calculate the least common multiple of c and 24.
936
Suppose -63*n = -266*n + 2304 + 4395. Calculate the lowest common multiple of 840 and n.
9240
Find the common denominator of 47/429 and (-21)/(-5544)*20*(-236)/(-10).
429
Let n(r) = r - 1. Let y(t) = t**2 - 6*t + 4. Let x(u) = 4*n(u) + y(u). Let v be -6 - (-6 - (-1 + -1)). What is the least common multiple of x(v) and 6?
24
Let o(k) = -116*k + 697. What is the least common multiple of 1924 and o(5)?
17316
Let m = 144 - 141. What is the common denominator of 40/9 and m + -1 + -687*(-8)/(-1968)?
738
Suppose 0 = -6*w + 2*w - 260. Calculate the common denominator of (-31)/(-651)*910/40 and (2/(-4))/(8/w).
48
What is the common denominator of (-1 + 31/30)*50367/(-326) and 65/428?
2140
Let o(h) = h**3 - 19*h**2 - 20*h + 16. Let g be o(20). Let a(p) = -p**2 + 16*p + 8. Calculate the smallest common multiple of a(g) and 24.
24
Let u = 625099241/228311295 - -21/353971. Let l = 146/43 + u. What is the common denominator of 50/3 and l?
15
Suppose 28 = 3*w - 5*v - 19, 12 = -3*v. Let t = 251 + -230. Let f = 22 - t. What is the lowest common multiple of w and f?
9
What is the common denominator of 432/1080 + 41/(-90) and -91/1215?
2430
Let h(o) = -648*o - 593. Calculate the smallest common multiple of h(-1) and 45.
495
Calculate the common denominator of 1*3 - (202775/16500 + -9) and -83/4.
660
Suppose -5 = g, -5*q = -2*g - 18 - 132. Let h = 32 - q. Suppose 0 = 6*d + h*d - 210. Calculate the lowest common multiple of d and 24.
168
Let k(f) = -2276*f**3 + f**2 - f - 1. Let y be k(-1). What is the common denominator of (y/(-112))/(-11) - (0 - -2) and -169/84?
336
Let r(i) = -i**3 - 7*i**3 - 3*i**3 + 2*i**2 + 3*i + 2. Let p(z) = z + 15. What is the lowest common multiple of r(-1) and p(5)?
60
Let d(q) = q**3 - 22*q**2 + 52*q - 33. Let c be d(20). Let y = c - 204. What is the least common multiple of 135 and y?
135
Suppose 4*p + 3161 = j, 7*p + 2290 = j - 859. Calculate the lowest common multiple of 353 and j.
3177
Let y be 6/(-10) - (-2)/((-10)/(-103)). Let o be (4/(-5))/((-8)/y). Suppose -4*f + 12 = 0, n - 13 = -o*f - 1. What is the smallest common multiple of 24 and n?
24
Suppose -28611 + 29409 = 38*k. Calculate the lowest common multiple of -12*2/(-3) + -2 and k.
42
Let m be 92/(-322) - 2/(-7). Find the common denominator of 51/70 and m/2 - (8 - 57/(-36)).
420
Let i(p) = p + 2. Let g be i(-14). Let o be 6/((0 - 1)*g/(-12)). What is the common denominator of ((-261)/360)/(o/8) and 16/27?
270
Let t be (-18)/18 - (-12074)/19224*41. Let l = 2/2403 - t. Let n = -139369/18 + 7746. Find the common denominator of l and n.
36
Calculate the common denominator of (33/8)/(-7 + 3174/24) and -35/38.
6346
What is the common denominator of -117/14 and 2 - 9 - (-5 - (-517)/(-320))?
2240
Let o(h) = 2*h**2 + 23*h - 9. Let b be o(-12). Suppose -1 = -s, b*s =