ate the lowest common multiple of 12 and p(y).
84
Suppose 0 = -45*g + 16*g - 17719. Let b = 619 + g. Suppose 4*v - 4*j - 12 = -0*v, 5*v + 3*j + 1 = 0. What is the smallest common multiple of b and v?
8
Let n be 3/5 - (-76165)/(-24360). Let b = 1/609 + n. What is the common denominator of b and 1066/144 + 2/9?
40
Let p = 929/48 - 1/48. Let h = 359 + -572. Find the common denominator of p and (1/2)/(15/h).
30
Let g = -448 + 449. Let x(f) = -f + 4*f + 2 + 5*f. What is the lowest common multiple of x(g) and 20?
20
Let x = -24216 + 3438595/142. Find the common denominator of x and -99/568.
568
Let g = -3096/1325 + 165/106. What is the common denominator of -8/335 and g?
3350
Let k = 3747187/90 + -41635. Let m = -2/47031 - 2617999/1410930. Find the common denominator of k and m.
90
Let m = -93 - -98. Suppose 0 = 3*r + 4*p + 258, 2*r - p + m*p = -168. Find the common denominator of (8/r)/(-2)*87*-1 and -61/12.
60
Let o = -1487 - -1497. What is the lowest common multiple of o and (-153)/(-12)*(1 - (-13)/3)?
340
Suppose 9 = 3*d, -d + 7 = -c + 12. Suppose -129 = -c*b + 679. Calculate the least common multiple of 1/(1 + (-4)/6) and b.
303
Let c = 1000831/97170 + 2/9717. Let p = 7363 - 162007/22. Calculate the common denominator of c and p.
110
Let c be (1 - (-353 - 0))*1. Calculate the common denominator of ((-5)/30)/((-184)/c) and (67/6)/((-132)/63 - 620/(-434)).
184
Let r(a) = a**2 - 16*a - 8. What is the lowest common multiple of 1 + (16 + -1 - (1 - 1)) and r(18)?
112
Calculate the smallest common multiple of 1/(-4)*-15164 - 7 and 2408.
26488
Calculate the common denominator of (-2565)/(-285) + 574/(-44) and -97/538.
5918
Let m(r) = r**2 - r + 1. Let c be m(1). Suppose -5*z + c = -29. Calculate the lowest common multiple of z and 30*(-91)/(-130) - (0 + 0).
42
Let k = -54 - -58. Suppose -5*o + k*l - 80 = -4*o, -5*l + 83 = -o. Let i = 106 + o. Calculate the smallest common multiple of i and 8.
152
Suppose 10 = f + 2*n, 3*f + 2*n - 27 - 11 = 0. Suppose -f*k = -725 + 109. What is the least common multiple of k and 9?
396
Let h(q) be the second derivative of q**5/20 + q**4/3 - q**3/6 + q**2 + 84*q. Calculate the least common multiple of h(-4) and 58.
174
Let j = -7 + 30. Suppose -j*d - 29785 = -18*d. Let b = -178883/30 - d. Calculate the common denominator of b and -99/10.
30
Let s be (6 + 13/(-2))*-6. What is the smallest common multiple of 36 and 1/(s/(-15)) + 29?
72
Suppose -3*w + 5*t = 158 + 548, -3*w - 676 = t. Let k = -1811/8 - w. Calculate the common denominator of 2 - 1 - 150/(-28) and k.
56
Let z(n) = -2*n - 1. Let p(f) = -4*f - 1. Let k(x) = 6*p(x) - 10*z(x). Let o be k(-7). Let j = o - 18. Calculate the smallest common multiple of j and 6.
42
Let t = 2/21493 + 85790/1955863. What is the common denominator of -83/8 and t?
728
What is the smallest common multiple of (-6)/((-102)/77843) - -13 and 40?
22960
Let u = -5468107/136966620 + 2/287745. What is the common denominator of u and 101/448?
7616
Suppose -2*x - g = -5245, 3*x + 11*g - 7*g = 7880. What is the lowest common multiple of 524 and x?
2620
Let d = -91318001/519360 + 33761/192. What is the common denominator of d and -36/35?
56805
Let a(b) = -10*b. Let n be a(-2). Let y(i) = -i**3 + 3*i**2 + 3*i + 40. Let j be y(5). Suppose -3*s - j + n = 0. Calculate the common denominator of 89/6 and s.
6
Let y(z) = -60*z**2 - 4142*z - 102. What is the least common multiple of 144 and y(-69)?
144
Let r(w) = -6*w. Let b be r(-1). Let n = b + -4. Suppose 5*t - 30 = -4*j + 76, -2*j = -5*t - 38. What is the smallest common multiple of n and j?
24
Suppose -16 = -84*y + 92*y. Let h = y + 38. What is the smallest common multiple of h and 16?
144
Let c(t) = -107*t + 42. Let l be c(14). Let x = l + 756. Find the common denominator of -10/9 and -3 + (-5)/(x/695).
252
Let m = -8/105909 - -61322191/11649990. Let y = -91677 - -35295609/385. Let h = m - y. Calculate the common denominator of h and -31/120.
840
Let m = 4321729/11460 - -204345/191. Let c = 7202/5 - m. Find the common denominator of c and -103/156.
156
Let t = 3139 + -3031. Calculate the least common multiple of t and 1836.
1836
Let f(i) = -i**2 + 11*i - 12. Let g be f(9). What is the lowest common multiple of 18 and ((-160)/15)/((-2)/g)?
288
Find the common denominator of (-1)/200*-17*-1 and 14 + (-2072)/(-640)*-4.
200
Suppose 73*h - 1386 + 72 = 0. Calculate the lowest common multiple of 2163 and h.
12978
Let j = -43 - -33. Let k be 5226/j - (-15)/25. What is the common denominator of (-6)/(-2) - k/24 and -3/14?
28
Let k be (-5286690)/(-676)*(-1215)/225. Let z = 42231 + k. Calculate the common denominator of -55/2 and z.
338
Suppose -24 = 29*u - 225 - 89. Calculate the lowest common multiple of 8248 and u.
41240
Let q(m) = 1617*m**3 - m**2 + m. Let y be q(1). Calculate the smallest common multiple of 2/(-8) - (y/(-44))/3 and 5.
60
Suppose -p + 23 = 18. Suppose -d - 10400 = -p*d. Let a = d - 25959/10. Find the common denominator of a and -21.
10
What is the smallest common multiple of 171 and (3*5301/(-62))/(1/(-2))?
513
Let q = 31/838 + 31613/40224. Find the common denominator of q and -23/48.
96
What is the common denominator of (-2086)/24*(-352)/(-3696) and ((-2)/660)/(36/(-3570))?
396
Let q be 93/31 + 7558/(-8). Let t = q - -929. Let z = 1101/50 + 12/25. Calculate the common denominator of t and z.
4
Suppose 0 = 2*p + 5*s - 360, p + 0*p + 5*s = 190. What is the lowest common multiple of -2 - (3 - (-42)/(-2)) and p?
1360
Suppose -28*z + 24 = -20*z. Calculate the smallest common multiple of 1471 and z.
4413
Calculate the least common multiple of (-355 - -1)/((-3)/(-24)*-3) and 354.
2832
Suppose 9*b + 180 = -6*b. Calculate the common denominator of (b/(2 - -4))/((-8)/87) and -91/20.
20
Let r = 24844 + -12173569/490. What is the common denominator of r and 23/100?
4900
Let i = 4959 - 3259. Let g = -5035/3 + i. Calculate the common denominator of g and 238/48 + 1/(-2).
24
Calculate the common denominator of 967/(-424) - ((-27)/3 + 221/34) and -11/1908.
3816
Let d(p) = -p**2 + 52. What is the smallest common multiple of 120 and d(-7)?
120
Find the common denominator of ((-115115)/(-166635))/((-28)/(-2)) and -61/1449.
2898
Suppose -4 = 3*h - 4*h. Suppose 2*q - 5*a = 61, q - 37 = h*a + 1. Let n(z) = -2*z**2 - 67*z - 13. What is the least common multiple of n(-33) and q?
180
Let m = -215108209/384 - -560178. Let t = 21/653 - 50659/11754. Find the common denominator of m and t.
1152
Let r(u) = u**2 - 14*u - 42. Let n be r(18). Suppose 0 = -0*x - 5*x - 5*l + n, 12 = 4*l. Calculate the common denominator of (x - 1)/(0 - 48/303) and 85/22.
88
Suppose 0 = 2*f - f - 4. Let z be 162/(-39) + f + (-290)/(-26). Suppose z*h + 4 - 125 = 0. Calculate the lowest common multiple of 33 and h.
33
Let b = -1516/3725 + 7/149. Find the common denominator of (-2)/(-20)*72/33 and b.
275
Suppose 1845 = 3*z - 8310. Let x be (z + -1)*(-45)/(-30). Let u = 45638/9 - x. Calculate the common denominator of -57/8 and u.
72
Let w be 0 - (-1)/((-42)/15 - -3). Let c = 24 - 19. Suppose c*f + 3*g = -210 + 784, -w*f + 2*g = -584. Calculate the smallest common multiple of 22 and f.
1276
What is the smallest common multiple of 189 and (-2)/(-11) - 0 - 1/((-33)/20784)?
1890
Let w be 2 - (1 + (-4)/(-2))/(-1). Let n(g) = 3*g**3 - 14*g**2 - 6*g + 21. Calculate the smallest common multiple of 32 and n(w).
32
Suppose 0 = -32*u + 1812 + 428. Suppose 2*y - n + 13 - 175 = 0, y - u = -5*n. Calculate the lowest common multiple of y and 26.
1040
Let x be (-6)/3 - 3 - -27. Let a = x - 20. Calculate the smallest common multiple of 44 and a.
44
Let h = 4/225 + 15011/3600. What is the common denominator of h and 121/3270?
26160
What is the smallest common multiple of 2272 and 79/5 - ((-672)/105)/32?
2272
Let z(i) = i**3 + 177*i**2 + 3660*i - 254. Let y = -20 + 30. Calculate the smallest common multiple of 56/y + (-4)/(-10) and z(-24).
102
Let l = 1006174/327 - 3077. Let h = l - 3497/6540. Calculate the common denominator of h and (39/30 + -1)/((-3)/77).
20
Let g(k) = -k**3 + 26*k**2 + k + 68. Let n be g(26). Calculate the common denominator of (-2*3/(-54))/(8/n) and (-54)/(-15) - -2*1.
180
Find the common denominator of -109/1728 and 420/1540 - (-34)/(-6336).
1728
Let a be 17/34 + 70538/4. Let z = 528977/3