. Suppose 5*w - 2*h + 3*h = 50, 4*w = -5*h + 61. Let u be 1*15/w*9. Calculate the least common multiple of r(u) and 9.
36
Suppose 4*i - 2684 = -4*j, -2*j - j + i = -2033. What is the smallest common multiple of 3 and j?
2028
Let s be (6/(18/571071))/(2/(-136192)). Let d = s + 212715449892523/16410. Let o = d - 22/547. What is the common denominator of -65/36 and o?
180
Let h(u) = 2*u**2 - 5*u + 4. Let y be h(2). Calculate the common denominator of y*(-804)/(-288) + 1 + 4 and 89/84.
84
Let p = -17473/5 - -1887839/540. What is the common denominator of p and 97/36?
108
Let m = 2 + 3. Let b = -401 - -404. Suppose -5*k - 21 = -p + 38, b*k + 151 = 4*p. Calculate the least common multiple of m and p.
170
Let q = 2356/3 - 806. Let m(d) = -5*d - 1 - 2*d - 14*d. What is the common denominator of m(2) and q?
3
Let z be (-5)/((-15)/(-6))*4. Let x(h) = h**3 + 7*h**2 + 7*h - 7. Let u be x(z). Calculate the common denominator of (-11)/33 - u/12 and -26/5.
20
Suppose 64 = -3*p - 4*b, b - 46 = 4*p + 14. Let z(m) = -m**2 - 17*m - 14. Suppose 4*s = -0*s + 44. What is the smallest common multiple of z(p) and s?
22
Let u(f) = -f**3 - 7*f**2 - 8*f. What is the lowest common multiple of 158 and u(-9)?
18486
Let n = 21 + -55. Let x = n - -50. What is the least common multiple of (0 + 1 + 0)/((-5)/(-160)) and x?
32
What is the lowest common multiple of (-1 + (-3306)/4)*(1131/(-195) - -5) and 11?
7282
Suppose -603*s + 419526 + 20727 - 1269 = 0. Suppose 2*o - 6*o = -88. Calculate the least common multiple of s and o.
8008
Let v = -3115253/95906 + 2565/79. Find the common denominator of 143/36 and v.
21852
Let s(y) = y - 2*y - 2*y**2 - 8*y - 1. Let o(w) = 28*w + 1202. Let u be o(-43). What is the least common multiple of s(u) and 6?
18
Suppose -9*b + 2*b = 1169. Let u = b - -168. What is the smallest common multiple of u and (-23 - -9)*(-1)/2?
7
Let o(p) be the first derivative of -p**3/3 + 6*p**2 - 35*p + 9. Calculate the lowest common multiple of o(6) and 7.
7
What is the common denominator of -81/7058 and (1430/(-12))/(1545/(-309))?
21174
Suppose 2*n + 28 = -4*a, 3*a = -n - 15 - 0. Find the common denominator of 24/(-8) - 285/n and -107/192.
192
Let s = -189169/41580 - 1/2079. Find the common denominator of s and -97/2.
20
Calculate the common denominator of (36/(-3))/((-273)/208*-24) and -83/518.
1554
Suppose 0 = 3*a - 9, -3*w + 0*a + 4*a = -6. Let r(n) = 332*n - 1326. What is the least common multiple of r(4) and w?
6
Calculate the common denominator of 2/(-4146)*(928/(-192) + 4/(-24)) and 28/15.
10365
Suppose -28*o - 30 + 1655 = 113. What is the smallest common multiple of o and 330?
2970
What is the common denominator of 23/990 and ((-26)/364)/(360/826)?
3960
Let q = -665435 - -5996041/9. Let s = 1569/2 - q. What is the common denominator of s and -93/22?
198
Let w = 40151 - 40148. Let v(y) be the first derivative of -3*y**4 + y**3/3 + y**2/2 + 1. Calculate the lowest common multiple of v(-1) and w.
12
What is the common denominator of ((-3)/36)/((-12)/(-1782)) and 37/56?
56
Let o = -233293/60 + 11663/3. Let c = -7 + 1. Calculate the common denominator of o and (-191)/(-60) + c/(-15).
60
Let a(b) = 603*b - 10838. Suppose 0 = 4*y - 31 - 1. Calculate the least common multiple of a(18) and y.
16
Let m be ((-100)/(-16))/(-1*4/(-16)). What is the common denominator of -113/110 and (105/(-6) + -2)/m?
550
Let q = -2/1293 - -18112/6465. Find the common denominator of q and (249/189)/(2495/(-3493)).
45
Let d = 2548/11 + -231. Let o = 9324 + -354287/38. Calculate the common denominator of o and d.
418
Suppose 2394 = -2*o - 2*d, 2*o - 5*d + 1024 + 1384 = 0. Let m = -32368/27 - o. What is the common denominator of m and 12*(2 + (-246)/135)?
135
Find the common denominator of (-1 + 4)/(54/4) + (-255945)/472932 and 70/87.
348
Let s be ((-4)/10)/(5/(-400)). Calculate the smallest common multiple of 3 and 105/(-14)*s/(-12).
60
Suppose -2*j - 26 = -7*j + 2*x, 5*x = -2*j + 22. What is the common denominator of ((-747)/36 - j)*(-2)/11 and 8/7?
154
Suppose 95*c + 144 = 201*c - 100*c. Let t = 28 - 24. Calculate the smallest common multiple of c and t.
24
Let c = -50143/24920 - 8/623. Let d be (1 - 2)*429/6. Let r = 64 + d. Calculate the common denominator of r and c.
40
Suppose 675 = 20*k + 435. What is the least common multiple of k and 28?
84
Let c = 7767/775 - 539/50. Calculate the common denominator of 4 + (315/(-24) - -9) and c.
248
What is the common denominator of 87/29720 and (270/(-315))/(2/14) - 4732/(-560)?
29720
What is the common denominator of 167/2016 and (-7*70/49392)/(16/(-3))?
8064
Suppose -5*k - 364 = 416. What is the common denominator of -73/15 and 1105/k - (12/(-4) - -7)?
60
Calculate the least common multiple of 2 and (2 - (0 + 1) - 1) + (815 - -619).
1434
Let j(q) = q**3 + 50*q**2 + 24. What is the least common multiple of 3813 and j(-50)?
30504
Let x be ((-4590)/20)/(1/2). Let n = -2944/7 - x. Let o = 310/7 - n. Calculate the common denominator of 52/9 and o.
63
Suppose -20*v - 20*v = -120. What is the common denominator of v/(-3) + 159/81 and 49/54?
54
Let k be (-70)/(-63)*91/104*(-6)/(-413). Let l be (-6026)/(-649)*(-2)/(-24). Let u = l + k. Find the common denominator of -8/15 and u.
165
Let c(d) = d**3 + 2*d**2 - d - 2. Let u be c(-2). Suppose u*q = -4*q + 2*w + 20, -5*q = 2*w - 16. What is the lowest common multiple of 4 and q?
4
Let o = 390 - -1583. Calculate the lowest common multiple of o and 6.
11838
Suppose -12 = -3*v, 4*g + v - 70 = g. Let z(d) = -d**3 + 8*d**2 + 2*d + 16. What is the lowest common multiple of z(8) and g?
352
Let w be ((-245139792342)/1756)/(-1 - 5331). Let y = w + -11492430/439. Let a = y - -2/1333. Find the common denominator of a and -69/28.
56
Suppose 5*p - 4*p + 3*g - 11 = 0, 4*g - 36 = -4*p. Calculate the lowest common multiple of (5/2)/((-80)/(-1024)) and p.
32
Let h be 2/((-8)/(-12) - (-225)/(-340)). Suppose 0 = 7*p + 10*p - h. What is the lowest common multiple of 60 and p?
120
Suppose -116 = -2*c - 3*p, -4*p = 4*c - 293 + 57. Let t = 25 + -23. What is the least common multiple of t and c?
122
Let w = 959 + -939. Suppose 2*r = 12 - 4. Calculate the smallest common multiple of w and (47 - 0) + -7 + r.
220
Let t = 56698217/43 + -1318564. Calculate the common denominator of t and 538/(-224) - (-2)/(-7).
688
Suppose 6*d - 497379 = -2346327. Let m = d + 121414337/394. What is the common denominator of -44/3 and m?
1182
Find the common denominator of -17/1215 and ((-2)/(-5))/(26487/(-5123)).
1215
What is the least common multiple of ((-312)/(-468))/((-8)/(-6))*234 and 4641?
13923
Suppose -3*f + 3 = 2*g, -g - 33 = -30. What is the smallest common multiple of 381 and f?
381
Suppose 0 = 4*z + 38 + 18. Find the common denominator of -16/11 and (-3)/(-7) + (-52)/z.
77
Let z = 76/1511 + 145789/75550. What is the common denominator of z and 29/175?
350
Calculate the common denominator of (-3965)/2418 + ((-29)/116)/(1/(-8)) and -83/18.
558
Let l(n) = 9*n**3 - n**2 - 11*n + 3. Let q(x) = -5*x**3 + 6*x - 1. Let i(s) = 4*l(s) + 7*q(s). What is the smallest common multiple of 55 and i(5)?
220
Let l = 19207/16 - 1201. What is the common denominator of ((-11)/132)/(1/85) and l?
48
Let r(l) = -6*l + 139. Let t be r(24). What is the smallest common multiple of 67 and (-3)/((6/(-8))/(t/(-20)))?
67
Let s = -2901/8 - -2819/8. Calculate the common denominator of s and -7/12032.
12032
Suppose -g = 4*g - 50. Let c(s) = -4*s - 19. Let w(n) = -n - 16. Let k be w(-9). What is the smallest common multiple of g and c(k)?
90
Let j = -193 - -189. Find the common denominator of (j/(-200))/((6/76)/(-3)) and 103/10.
50
Let v = 43826113550/12402837 - -4/1378093. Let q = v - 3537. What is the common denominator of q and -53/123?
369
Suppose 0 = 28*q - 34*q + 30. Find the common denominator of -106/105 and (1886/(-2530))/(3/q).
1155
Let v be 402 + (-12)/(-4)*-2. What is the common denominator of (154 - 3)*(-22)/v and -53/48?
144
What is the common denominator of 25/612 and 25/(-100)*12*113/(-180)?
3060
Calculate the smallest common multiple of 19899/330 + 1*(-12)/40 and 428.
6420
Find the common denominator of 12/9*(11 - 15228/1408) and 67/160.
5280
What is the smallest common multiple of 1 - 18/14 - ((-9494)/7 - 6) and 24?
5448
Suppose 28 = 182*t - 175*t. S