
Let b(v) = 8*v**2 - 2*v - 1. Let a be b(-1). Suppose 3*c = -4*t - 51 - a, 5*c = 3*t - 71. Calculate the common denominator of 11/22*71/c and -115/12.
96
Let q = -5566403897/2048343 - -23/62071. Let j = q - -2715. Let o = 201779/21 - 9605. Find the common denominator of o and j.
231
Let s = -40 - -45. Let x be 0/(s/(-5)) + -2. Calculate the least common multiple of 61 and x/(3*4/(-24)).
244
Let s(z) = -2145*z + 21. Suppose -3*u = 3*h + 3, -11 = -5*h - 3*u + 2*u. Let c be s(h). Let x = c + 89721/14. Find the common denominator of -33/26 and x.
182
Calculate the common denominator of 2*(-5)/55 + 298/1672 and -73/418.
836
Let j(x) = 2*x**3 - 40*x**2 - 3*x + 28. Calculate the common denominator of j(20) and -23/3436.
3436
Let h = 4607 + -4586. Calculate the smallest common multiple of h and 786.
5502
Let h = 1166999/108 + -43211/4. Let p(l) = -350*l. Let i be p(1). Find the common denominator of h and i/12*2/30.
54
Let v(t) = 15*t + 2. Suppose 0 = 3*x + 3*b - 45, 6 = 3*x - 5*b - 15. Suppose -4*w + x = -3*w. Calculate the least common multiple of v(2) and w.
96
Let y = -542 + 545. Let a(q) = -q + 7. Let r be a(0). Suppose -2*g + r*g = 120. What is the lowest common multiple of g and y?
24
Let k = -148 + 147. Calculate the smallest common multiple of 9 - (2 - 0)*k*1 and 12.
132
Let w be (-2)/(-2 + (-9)/(-6)). Let x be 249/51 - (-14)/119. Suppose -x*u - 25 = 0, -f + 3*f + w*u = -14. What is the smallest common multiple of 27 and f?
27
Let v(z) = -2*z**2 - 143*z - 2497. Let o(f) = f**2 - 4*f - 3. What is the least common multiple of v(-31) and o(-5)?
42
Let d(w) = -w**2 + 76*w - 876. What is the lowest common multiple of d(58) and 616?
1848
Let y be ((-248023048)/6 - 1)/(-4). Let o = 10346166 - y. Let j = 11880 - o. Find the common denominator of j and -127/12.
12
Let x(g) = 7*g - 66. Let s(l) = 6*l - 67. Let p(h) = 2*s(h) - 3*x(h). Calculate the least common multiple of p(6) and 26.
130
Let t(u) be the third derivative of -u**6/120 - u**5/4 - 7*u**4/12 + 10*u**3/3 + 2*u**2 + 56. What is the lowest common multiple of t(-14) and 38?
380
Suppose -o - 3*a = 4*o - 85, 0 = -2*a. Suppose -5*q = 3*u - o, -21 = -5*q - 4*u - 5. Let y = -39 - -43. What is the smallest common multiple of q and y?
4
What is the common denominator of (-128)/(-7040)*(-295)/(-2) and 41/6?
66
Let v = 50 - 30. Suppose 22*o - 27*o + v = 0. Suppose 4*f = 8, o*f = -5*b + 122 - 24. What is the smallest common multiple of b and 10?
90
Let j = -4204 + 4248. Let i(q) = 2*q**3 + 3*q**2 - 2*q. What is the least common multiple of i(2) and j?
264
Let b(v) = -2*v**3 - 3*v**2 - 7*v + 4. Let f be b(4). Let n = -185 - f. Calculate the least common multiple of 39 and n.
195
Suppose 1524 = 10*h - 8036. Calculate the smallest common multiple of h and 62.
29636
What is the common denominator of 59/228 and (-710)/1200 - (49/(-65) - 34/(-221))?
2280
Let v(p) = -p**2 + 5*p + 51. Let x be v(9). Suppose 12*u - 21 = x. What is the lowest common multiple of u and 80?
240
Let x = -875347139/1900 + 460709. Calculate the common denominator of -103/30 and x.
5700
Let a = 13343 + -827345/62. What is the common denominator of -64/1023 and a?
2046
Let f be ((-6)/4 - -2)*61402250/(-1610). Let c = 19067 + f. Find the common denominator of c and -59/2.
46
Let n(w) = w + 3. Let i(l) = 6*l**3 - l**2 + 1. Let p be i(1). Suppose -p*o + o = 5. Calculate the least common multiple of 6 and n(o).
6
Suppose -u = 39 + 7. Let p = u - -66. Suppose 23 = -4*k + 5*k - 3*z, -4*z = p. What is the smallest common multiple of 34 and k?
136
Suppose 2*c + 62 = n, 2*n + c - 109 = -0*n. Calculate the smallest common multiple of n and (16/(-26))/(135/(-12285)).
56
Suppose -1027 = 10*n + 2143. Let i = 401 + n. Calculate the smallest common multiple of 16 and i.
336
Suppose 4*u = -16 + 56. Let k be 38/8 + 3 + (-2)/(-8). Calculate the least common multiple of u and -95*(-2)/40 + (-6)/k.
20
Let q be (55/15 + 1)*-3. Let z = 0 - 21. Calculate the common denominator of 103/28 and q/12*(-4 - (-45)/z).
84
Let k(x) = x**2 - 20*x + 67. Let i be k(4). Suppose 0 = p - 4, 7*o - i*o - 3*p - 52 = 0. What is the smallest common multiple of 9 and o?
144
Suppose 817*y = 822*y - 4*l - 80, -25 = -5*l. Calculate the smallest common multiple of 768 and y.
3840
Let t be (-1)/2 + -3 + 7275/5976. Let p = t + -3/332. What is the common denominator of p and 43/8?
24
Let o = -18 - -7. Let p be (-52916)/(-17638) + (o - -8). Let h = 458621/291027 - p. Find the common denominator of h and -115/6.
66
Suppose 2*n = -3*n - 5*b - 50, 3*n + 25 = -2*b. Let w be (-148)/(-8) - n/(-10). Calculate the smallest common multiple of (w/4)/((-7)/(-28)) and 20.
180
Suppose 0 = c + 2*j - 4, 4 = 44*c - 43*c - 3*j. Suppose -5*k = 5*m - 494 + 134, -k = -3*m - 64. Let f = k + -41. What is the lowest common multiple of f and c?
116
Let u = 37/3692 - 28183/7417228. What is the common denominator of u and -31/35?
20090
Let s(c) = -24*c**3 - 8*c**2 - 5*c - 4. Let f be s(-3). Let y = 4705/8 - f. Let p = 11/8 + y. Calculate the common denominator of 25/8 and p.
8
Let x = -7868 - -9960883/1266. What is the common denominator of x and 3/22?
13926
Let a = 6809658 + -75689348723/11115. Calculate the common denominator of a and 58/9.
11115
Let r = 262627/28 - 9383. What is the common denominator of -99/4 and r?
28
Suppose 1 = 2*k - 9, -4*c - 2*k = 18. Let n(v) = -37*v - 247. Calculate the least common multiple of 130 and n(c).
780
Let j = -230 - -257. Suppose j*m - 12*m - 75 = 0. What is the least common multiple of m and 164?
820
Let d = 165701 + -54681461/330. Calculate the common denominator of 31/1760 and d.
5280
Let b = -217 - -4126/19. Let q = -29271/20045 + 2005/211. Let f = q + b. Calculate the common denominator of f and 27/4.
20
Suppose 5*p + 377*u - 38095 = 379*u, -p + 5*u + 7596 = 0. What is the lowest common multiple of 9 and p?
68589
Let j be (6/7061634)/((-1)/(-4187)). Let n = j - -2/4689. Let q = 3245/4518 + n. What is the common denominator of 68/15 and q?
90
Let w = 21810 + -21694. What is the smallest common multiple of w and 172?
4988
Find the common denominator of -9/35 and (-9)/30 - (51309/6120 - 8).
4760
Let h be (4 + -1)/((-5)/(40/(-6))). Calculate the smallest common multiple of 7 + 2 + 0 - h and 8.
40
Suppose -10470 + 55079 + 25958 = 7*d. What is the lowest common multiple of 9 and d?
90729
Let v = -187295136/29 - -1839424024831/284809. Let h = 2/1403 + v. Calculate the common denominator of h and -1/5.
35
Let y = -16613 + 17221. Calculate the smallest common multiple of 114 and y.
1824
Let p(g) = -g**2 - 5*g + 528. Calculate the lowest common multiple of p(20) and 26.
364
Let o be (-3 + 1)/((-22)/44). Suppose -2*a + x + 42 = 0, -x - 84 = -o*a - 4*x. What is the smallest common multiple of a and 9?
63
Suppose 6*a + 730 = 760. Let z(y) = 13*y - 23. What is the least common multiple of z(a) and 49?
294
Let g = -60 - -51. Let r be -3*(6/2 + 15/g). Find the common denominator of -7/3 and r/1 - 7/3.
3
Let o be (-21)/42 + (-99)/(-6). Let x = 24 - o. What is the smallest common multiple of x and (-2 - -1)*(-12 - -2)?
40
Suppose 106*i + 5205 = 101*i. Find the common denominator of 20/153 and 0 - 2 - (6 + i/99).
1683
Let m(w) = 3*w**2. Let h be m(2). Suppose -t + 7*a - h = 4*a, 0 = -2*t - a + 11. Let y = 635 - 632. Calculate the lowest common multiple of y and t.
3
Suppose 14*w - 18*w - 5*y = -2673, w = -5*y + 657. What is the least common multiple of w and 160?
3360
Let a = -291 - -153. Let u be 0 - (79 + 2 + 0). Calculate the common denominator of -1/10 and a/8*9/u.
60
Calculate the least common multiple of 11 + (-20)/((-180)/(-27)) and 380.
760
Suppose -22*b = -b - 630. Suppose -b = -5*s - 4*l, -2*s + 5*l - l = -12. Let f(w) = -w**3 + 6*w**2 - 4*w - 1. Calculate the least common multiple of s and f(4).
30
Let m = 1860 + -1838. Calculate the lowest common multiple of (-8)/(-2*(-3)/(-12)) and m.
176
Let p(m) = -2*m**3 - 35*m**2 + 55*m - 5. Calculate the smallest common multiple of p(-19) and 561.
561
Let p = -101176 + 101298. Suppose 4*f - 2*f = 3*j - 14, 4*f = -4*j + 32. Calculate the smallest common multiple of j and p.
366
Let y = -44152447/810 - -54509. Find the common denominator of 101/150 and y.
4050
Let r = 48061/5 + -9671. Let q = 2437/40 + r. Find the common denominator of