508062. Calculate the least common multiple of 14 and s.
7028
Let a = -17777 - -30803. Let v = -937907/72 + a. Calculate the common denominator of 49/24 and v.
72
Suppose -5*s + i = 76, -3*s - 29 = -2*i + 11. Let r = -10 - s. What is the lowest common multiple of r and -3 - (-164)/14 - 4/(-14)?
18
Suppose -5*r + 56 = 16. Calculate the least common multiple of ((-26)/65)/((-71)/30530) and r.
344
Let g = -26/6807 + -381967/1579224. Find the common denominator of g and -17/1044.
2088
Let o(c) = 2*c**2 + 12*c - 154. Let p be o(7). What is the common denominator of (p - 25) + 153/(-14) and -34/21?
42
Let x(b) = 69*b**2 + b + 6. What is the least common multiple of x(3) and (-5)/(8/(-24) + 16/(-672))?
630
Suppose 75*r - 78*r - 285 = 0. Let k = -92 - r. What is the smallest common multiple of 2 and (20/(-12))/(k/(-108))?
60
What is the smallest common multiple of 328 and (205/(-123))/((-10)/96)?
656
Suppose y = 4*p - 76, -5*y + 70 = 4*p + p. Let z(t) = -2*t**3 - 18*t**2 + 6*t - 122. Calculate the lowest common multiple of p and z(-10).
18
Let z(s) be the first derivative of 3*s**2/2 - 16*s - 37. What is the least common multiple of z(22) and 4?
100
Let c = 77 - 56. Suppose -2*v - 1368 = -c*v. Calculate the lowest common multiple of 33 and v.
792
Let a = 15674 - 14186. Calculate the lowest common multiple of 128 and a.
11904
Let x = 61 + -58. Suppose x*q + 0*y - 3*y = -30, -2*y + 28 = -3*q. Let f = 2 - q. Calculate the lowest common multiple of f and 4.
20
Calculate the common denominator of -145/168 and (-2 - 2485/(-30))*((-44)/(-11))/(-60).
504
Let u be (-5 + 2)/((-9)/15). Let h = -3095 + 3101. Calculate the smallest common multiple of 7*u/(15/12) and h.
84
Calculate the common denominator of 113/100 and (-2630)/(-8400) - 10/(-75)*1.
1400
Let b = 5412 + -48646/9. Let a = -4240/9 + 468. What is the common denominator of b and a?
9
Let y(b) = -6*b**2 + 35*b + 9. Let g be y(-3). What is the least common multiple of g/9*(-9)/5 and (26/(-6))/(3/(-27))?
390
Let z = 10 + -10. Let r(c) = -c**3 - 2*c**2 + 3*c - 4. Calculate the lowest common multiple of r(-4) and (45 - -1)*(z - -1).
368
Suppose 2*z - 23288 = -5*q, 553*z - 558*z = q - 4676. Calculate the lowest common multiple of 12 and q.
4656
Let k = -254266/63 - -28246/7. Let t = -1734614/99 - -17521. What is the common denominator of k and t?
693
Let m(w) = 9*w + 4. Let c be m(4). Suppose -q + 6*q - c = 0. What is the lowest common multiple of q and 37/((-3367)/14) + (-15)/(-13)?
8
Suppose 0*t + 700 = 4*t. Calculate the least common multiple of 105 and t.
525
Let i(t) = -23*t - 126. Calculate the lowest common multiple of 9 and i(-9).
81
Let o = -21 - 24. Let s be 766/1920 - (-18)/o. Let f = s - 5039/960. Find the common denominator of f and 75/8.
8
Calculate the common denominator of -41/20 and (-12 - 835/(-70)) + 195/476.
340
Let t = 1252 + -542. Find the common denominator of (-22)/(-4) - 3 - t/350 and -3/77.
770
Let i = -230 + 236. Suppose 0*x + i = x. What is the smallest common multiple of 56 and x?
168
What is the lowest common multiple of 1104 and (-4 - 7133/28)/((-13)/52)?
16560
Suppose v + 21 = 2*v. Calculate the common denominator of v/28*(-46)/(-9) and (-61)/12 - (-22)/(-22).
12
Let g = 763 - 588. Find the common denominator of (-1)/4 - 57/6 and (-10)/g*-7 + (-2156)/(-360).
36
Find the common denominator of ((-14)/(-10) - 2) + 12567/23856 and 13/5.
560
Let h = 23 + 32. What is the least common multiple of h and 38 + ((-2004)/1670)/((-1)/10)?
550
Suppose 0 = -3*t + o + 2, -27 = 4*t - 2*t + 5*o. Find the common denominator of (-958)/(-144) + -4 + 18/81 and ((-15)/21 - t)/(-12).
168
Calculate the common denominator of 54/351 - 5/((-1950)/1539) and 7 + 7 + (1 - -3).
10
Let t be 1 - (5 - -166)/3. Let r be (-16)/(-12)*7/(t/1812). Let l = r + 2361/8. Calculate the common denominator of l and 71/8.
8
Let h = 1085 - 401. Let d = h - 3438/5. Let s = -111786/35 + 3196. What is the common denominator of d and s?
35
Let b(z) = z**3 - 17*z**2 - 2*z + 25. Let m be b(17). Let i(p) = p**3 + 10*p**2 + 11*p + 25. Calculate the lowest common multiple of 3 and i(m).
21
Let a = -1519/5 + 13481/45. Calculate the common denominator of a and -131/144.
144
Let d be (-111)/39 - (-6)/(-39). Let z be -26*6/(30/(-5)). Calculate the smallest common multiple of d - z*1/(-2) and 8.
40
Let t(l) = 2*l**2 - 259*l - 938. Calculate the smallest common multiple of t(136) and 581.
5810
Suppose -r = -x - 114, 144 + 69 = 2*r - 5*x. Calculate the lowest common multiple of 70 and r.
1190
Let j = -6 - -12. Suppose j*b = 3*b + 36. Suppose 10*i - 812 + 552 = 0. Calculate the least common multiple of i and b.
156
Suppose -4*k = 98 - 2. Let u = k + 29. Suppose -u*b + 95 = -2*w + 19, -b + 10 = -3*w. Calculate the least common multiple of 18 and b.
144
Let c(o) = 42*o + 428. Let s be c(6). Let a = s - 677. Calculate the least common multiple of 119 and a.
357
Let u(r) = -r**2 - 6*r + 27. Let n be u(-9). What is the common denominator of 8/(160/214) + n and -26/129?
1290
Find the common denominator of (-420)/15435*((-390)/16 - 0) and 29/1344.
9408
Calculate the common denominator of -131/190 and -12 + 642/54 + 31/270.
5130
Let x = 40 + 168. Suppose 3*p = -12, -13*p - 88 = -4*i - 9*p. Calculate the least common multiple of x and i.
1872
Suppose 3*j = -0*j + 189. Let n = -37 + j. Calculate the least common multiple of (-268)/(-19) - (-50)/(-475) and n.
182
What is the common denominator of 38881/1977*(-9)/(-12) and ((-1)/(-6))/((-8)/522)?
8
Let v(l) = l**2 + 2*l - 12. Suppose -5*x + 14 = -3*w, -x + 2*w = -2*x + 8. Let a be v(x). What is the lowest common multiple of (a - 15) + 18 + 1 and 6?
48
Let i be 15586*1*3/45. Let r = -1036 + i. Calculate the common denominator of r and 34/45.
45
Let t be (23 + -19)*(1 + 763/2). Let d = t - 18373/12. Find the common denominator of d and -113/96.
96
Calculate the common denominator of -51/5734 and 1085/310 - (-4)/3.
17202
Find the common denominator of 47/20 and ((-7313)/515)/(-3 - (-627)/15).
1940
Let w be 24/(-5)*(-2 - 152/(-78)). Let h = -4517/130 + w. What is the common denominator of ((-309)/(-15))/(30/25) + -4 and h?
6
Let h = 45441/19 - 2389. Calculate the common denominator of 91/4 and h.
76
Let n be 6080/(-5124) - (-6)/(-21). Let w = -8/183 - n. What is the common denominator of w and 121/(-18) - (-3)/45*-5?
126
Let h = 516499/3 + -170648. Let a = -1495 + h. Calculate the common denominator of -47/33 and a.
33
Let l be (-141)/595 - (-2)/14. Let t = l - 109/34. Let j = 28/15 + -283/150. Calculate the common denominator of j and t.
50
Suppose 4005 = 55*h + 29*h - 6411. Calculate the smallest common multiple of 2796 and h.
86676
Let s = 65 - 62. Let q(h) = 2*h - 21. Let o be q(15). Let m = o - 1. What is the lowest common multiple of m and s?
24
Suppose -2*x - 3 + 7 = 0. Calculate the least common multiple of (x + -1)*(-20)/(-5) and 1.
4
Let o = 19 - 19. Suppose o = -3*h - 2*c - 180, -45 = 4*h + 4*c + 199. Let g = -34 - h. What is the lowest common multiple of 9 and g?
72
Let s(j) = 775132*j - 11. Let x be s(-9). Let m = -209307787/30 - x. Let z = m + 727. What is the common denominator of z and 55/21?
210
What is the common denominator of -8*3/6 - 37776/(-8448) and 117/160?
1760
Let o(w) = 5*w**3 - 40*w**2 - 77*w + 46. Calculate the least common multiple of o(12) and 77.
2002
Let m be 63/3710*1015/12. Let d = 1688 + -268415/159. Let w = m + d. Find the common denominator of 31/7 and w.
168
Let h be 803*-18*2*(-3)/96. Let z = 1817/2 - h. Find the common denominator of -81/8 and z.
8
Let a = -3277 + 13067/4. Calculate the common denominator of a and 103/602.
1204
Let r = 13/105 + -209/840. Let i = 2/172737 - -13646027/16928226. Find the common denominator of r and i.
392
Let x = 213/2 - 3917/36. Let p = 3628868 - 58032019/16. Let k = 1869 - p. What is the common denominator of x and k?
144
Let w = -184189/9416 - -1729/88. Calculate the common denominator of w and 5/2.
428
Let h(l) = 21*l**3 - 2*l + 2. Let t be h(1). Find the common denominator of 210/9*(-32)/40 and (-133)/t*(8/10)/(-2).
15
Let y = 194 - 206. Calculate the common denominator of (4/(-240))/(y/910) and 85/63.
504
Let l = 11 + -5. Suppose -5*s = 5*n - 4*n + 8, s = -n + 8. Suppose n*m + 24 = 15*m. What is the least common multiple of l 