 = -j*g - 2*g + g. Suppose g = -7*u - 2 + 156. Calculate the least common multiple of u and 4.
44
Suppose 2*n - 11 = -113. Let z = -54 - n. What is the common denominator of 2/z*3 + 30/11 and 52/11?
11
Suppose 1625 = -3*j + 5*g + 2875, 4*j - 5*g - 1670 = 0. What is the least common multiple of 84 and j?
420
Suppose -4*k + 759 = u, -7*u + 180 = k - 10*u. Calculate the lowest common multiple of 147 and k.
1323
Suppose b + 2070 = 3*p - 4*b, 3*b - 2022 = -3*p. Calculate the lowest common multiple of 80 and p.
1360
Let u = -367/35 + 43579/4620. Calculate the common denominator of 143/108 and u.
1188
Suppose -5*f = -46 - 64. Let i = 92 + -74. Calculate the lowest common multiple of i and 231/f - (-1)/(-2).
90
Let l(w) = -w**3 + 32*w**2 + 8*w - 15. Let c be l(33). Let d = -9999/10 - -1001. What is the common denominator of d and (-196)/c*70/4?
60
Let l = -74 - -78. Suppose 14*w - 132 = 148. Calculate the smallest common multiple of w and l.
20
Let r = -268 - -317. Suppose r*p - 324 = 31*p. Calculate the lowest common multiple of 39 and p.
234
Let b be (30/(-134))/((-5)/(5*52)). Let s = -131777/11256 + b. Calculate the common denominator of s and -50.
168
Let n be ((-9)/(-10))/((-12)/(-290)) + 2. Let y = n - 93/4. Find the common denominator of y and -125/36.
36
Let r(m) = -694*m**3 + 4*m**2 + m - 4. What is the least common multiple of 168 and r(-1)?
5544
Let o = 2142 + -2147. Let u(b) = 2*b + 9 + b + 14. What is the smallest common multiple of u(o) and 2?
8
Let l = -4216/1947 - 19/177. Calculate the common denominator of 47/3 and l.
33
Let j = 90 + -82. Calculate the smallest common multiple of j and 1 + ((-22)/(-4))/(-11)*0.
8
Let b(u) = -3 + 6 - 1 - u**2 + 5*u. Let o be (-775)/(-186) + 10/12. Calculate the lowest common multiple of 1 and b(o).
2
Let x(g) be the third derivative of -g**4/8 - 11*g**3/6 + 2*g**2 + 34. What is the smallest common multiple of 14 and x(-9)?
112
Let q = -25559/4 - -485609/76. Find the common denominator of (13/33)/((-2)/12) and q.
209
Suppose 0 = -2*m + 5*q + 21, 5*m - 52*q - 44 = -48*q. Calculate the smallest common multiple of m and 300.
600
Suppose -3*i - 51 = -y + 2, i = 4*y - 190. Find the common denominator of 47/1520 and y.
1520
Suppose -2*a = -5*y + 745 + 372, 5*a + 2750 = 4*y. Let i = -522 - a. Calculate the least common multiple of 3 and i.
24
Let f be (356167/(-21))/(-17) - 6/9. Suppose -3 = 996*o - f*o. Calculate the lowest common multiple of 15 and o.
15
Suppose -4*u - 829 = 171. Let m = -241 - u. Calculate the lowest common multiple of 15 and m.
45
Suppose -3*g + 124 = 2*c, 207 - 34 = 4*g - 5*c. Calculate the smallest common multiple of 2247 and g.
4494
Let x = -7302 + 7338. What is the least common multiple of x and 144?
144
Let z be 6/(-6) - -6711*9/(-30). Let g = -2026 - z. What is the common denominator of g and -93/74?
370
Let o(y) = -204*y + 61. Let i be o(-3). Let p = i - 643. Calculate the least common multiple of p and 180.
180
Let p(r) = 53*r**3 - 2*r**2 - 3*r - 2. Suppose -3 = 10*y + 7. Let s be p(y). Calculate the common denominator of 244/s*12/(-16) and 47/20.
180
What is the lowest common multiple of 792 and -18*(-10 - (2 + (11 - 7)))?
3168
Let b = 508/15 - 23687/660. What is the common denominator of b and -35/66?
132
Let x(o) = 4*o - 12. Let s be x(3). Suppose 0 = 4*p - 4*q + 24, 4*p + s*q + 22 = 5*q. Let c = 12 + p. Calculate the smallest common multiple of 18 and c.
36
Let w(a) = a**2 + 27*a + 26. Let y be w(-26). Suppose y = -2*j + n + 20, 0 = 3*j + 3*n - 0*n - 12. What is the smallest common multiple of j and 58?
232
Let v = 64997113/288 + -225684. What is the common denominator of v and -7/90?
1440
Calculate the least common multiple of 1760 and 6/(-69) + 170674/161 + -4.
5280
Suppose -9*j + 3*q + 1731 = -5*j, 3*q + 15 = 0. Let w = j + -369. Calculate the smallest common multiple of w and 12.
60
Let g(f) = -7*f**3 - 62*f**2 + 6*f - 26. Let a be g(-9). Find the common denominator of (-2)/(60/222) + a and (4/(-10))/(2/14).
5
Let h be 4 + (-56)/(-3152)*-226. Let p = -952/2167 + h. What is the common denominator of p and -53/110?
110
Let w be (-5 + -2 + 3)/(6/(-201)). Let y = w - 116. What is the least common multiple of 24 and y?
72
Suppose 67*j + 4 = 65*j. What is the common denominator of (-7 - 124/40)/j and 43/40?
40
Let x = -3/3311 + 39747/16555. Find the common denominator of ((-2)/3)/(80/(-1128)) and x.
5
Let a = -4451/3136 - 1/392. What is the common denominator of a and -7/1856?
1856
Let c = -7566 - -7602. Calculate the smallest common multiple of 1488 and c.
4464
Let r = -49093479453214 - -669684148751000066/13641. Let f = -327710 - r. Let o = f - 682004/313743. Find the common denominator of 19/8 and o.
184
Let j(f) = -3*f - 18. Let z be j(-7). Suppose -18*u + 3696 = z*u. What is the smallest common multiple of 160 and u?
1760
Let q = -3334 - -3595. What is the lowest common multiple of 9 and q?
261
Let a = 46/3 + -16. Let c = 204 + -210. Calculate the common denominator of a and 1240/48 + 2 + c.
6
Calculate the common denominator of -6/475 and 8 + 11972/(-1520)*1.
1900
Let u be (-993)/(-9) + 1/(-3). Let j be 3/(42/(-4)) + u/(-7). Let k(v) = -2*v**2 - 34*v + 8. Calculate the lowest common multiple of 44 and k(j).
440
Let u = 226 + -282. Let w = u - -72. What is the smallest common multiple of w and 11?
176
Let c = -5936642696/55 + 107942531. Let p = 3573 - c. Calculate the common denominator of -1/25 and p.
275
Suppose 4 = c, -490 = 14*b - 11*b + 2*c. What is the common denominator of b*(6*2/40)/(-6) and 1/(-4) + 102/232?
290
Suppose -8*z = 3*w - 2336, -31*z + 33*z = -2*w + 1574. Calculate the lowest common multiple of 10 and w.
3960
Suppose -4*t + k + 304 = 0, 0 = 10*t - 13*t + 4*k + 228. What is the common denominator of (-4)/4*73/t and 47/10?
380
Calculate the smallest common multiple of (-4494)/(-75) - (-8)/100 and 48.
240
Suppose 326 = -5*t - 1124. Suppose 0 = 3*d + 3*w + 24, 2*d + d + 32 = w. What is the common denominator of 67/21 and t/144 - d/45?
168
What is the common denominator of 15/847 and ((-4)/(-220))/((-376)/345 - 32/(-24))?
3388
Suppose p + 60 = -0*x + 2*x, -5*p - 44 = -2*x. Let l be -6 + (-14)/7 - -19. Suppose -l*v + 98 - x = 0. Calculate the smallest common multiple of 2 and v.
6
Let w(f) = -f**2 - 9*f + 9. Let t(l) = l**2 - 4*l + 12. Let v be t(4). Suppose -2*i + v = -3*i. Calculate the common denominator of w(i) and 52/69.
69
Let y = 181 + -179. What is the smallest common multiple of (-2)/(-4) + 92/16*y and (-6)/(-9)*3/2?
12
Calculate the smallest common multiple of -6*(-5)/70 - 158*(-46)/28 and 2.
260
Suppose 3*j = 4*j - 5. Suppose -3*s + 10 + j = 0. What is the least common multiple of 11 and 6/(-15) - (-47)/s?
99
Let a = 2608 + -2572. Let v(y) = y**2 + 7*y + 8. Calculate the lowest common multiple of v(-7) and a.
72
Let x be (-16 + 515)/(1 - 0). Let c = 501 - x. Calculate the least common multiple of c and 40.
40
Let l be -2 + 14/(-12)*7745/(-2436). Let r = 54/29 - l. What is the common denominator of r and 111/20?
360
Suppose 8*m - 299 + 20 = 201. Suppose 3*h - 28 = 2*l, -h + 4*h - 52 = -4*l. Calculate the lowest common multiple of h and m.
60
Let z = 5341 + 1817. What is the lowest common multiple of z and 6?
7158
Suppose 0 = 44*l - 1802 - 134. What is the lowest common multiple of 432 and l?
4752
Let t(u) = 2*u**3 - 16*u**2 - u + 21. Let w be t(11). Let k be (-2)/9 - w/(-72). Calculate the least common multiple of ((18/(-15))/2)/((-1)/k) and 30.
30
Let a(k) = k**3 - 2*k**2 - 5. Suppose -14 + 8 = -2*z. What is the lowest common multiple of a(z) and (-1)/(-1) - (-29 - 2)?
32
Let b(n) = 2*n**3 - 13*n**2 - 3*n - 2. Let u be b(7). Let j = 42 - u. Suppose -13 = 6*d - 61. What is the least common multiple of j and d?
16
Suppose n - 4*d + 20 = 0, -2*n + 0*d + 3*d - 15 = 0. Suppose -9*f + 395 + 217 = n. What is the least common multiple of 16 and f?
272
Suppose 196*t - 199*t - 2326 = -4*c, 5*c - 2909 = 3*t. Calculate the smallest common multiple of 6 and c.
3498
Let i be (-24 + 23)*278/(-4). Let l = i + -95. What is the common denominator of 85/12 and l?
12
Let d = -146301/22 + 6654. Let p = 26/687 + 5477/54960. What is the common denominator of p and d?
880
Calculate the least common multiple of 9/21 - (-249264)/63 and 7.
27699
What is the common denomin