 a. What is the common denominator of t and 29/72?
504
Let i = 10 - -24. Let t(f) = f**2 - 64*f + 70. Let o be t(23). Let l = 891 + o. What is the least common multiple of l and i?
306
Calculate the smallest common multiple of (-2)/10 + (-88776)/(-30) + 1 and 481.
38480
Let r(o) = -113*o**2 - 4*o - 6. Let a be r(-3). Let q = 20243/20 + a. What is the common denominator of q and 50/12*(-27)/(-63)?
140
Suppose 2*c = 32 + 300. Suppose 2*r + 3*p - c = p, 5*r + 3*p = 409. Let w(l) = 2608*l - 5206. Calculate the least common multiple of w(2) and r.
80
Suppose -2*x - b = 9, -x + 9 = b + 4*b. Let i be (-4)/x - 98642/(-24). Let h = 4134 - i. Calculate the common denominator of 56/9 and h.
36
Let i be ((-2)/(-10)*3)/(28/140). Find the common denominator of 3718/7260 + 1/i and 37/50.
550
Let m be (153/(-18))/(2/(-16)). Suppose -4*j = -8, -2*k = -0*j - 3*j - m. Calculate the common denominator of -71/3 and 0 + 1 + (-6)/((-12)/k).
6
Suppose 2*n = -q + 153, 315 = 4*n - 0*q - q. Let y = 76 - n. Calculate the least common multiple of 20 and ((-25)/10 - y)*-128.
320
Let q be (-310)/34 - (-32)/272. Calculate the smallest common multiple of (q/27)/(2/(-54)) and 559.
5031
Suppose -j - 7470 = -2*h + 2*j, -5*h = -j - 18688. Let z = h - 33601/9. Let u = -1/125099 + 500403/875693. What is the common denominator of u and z?
63
Suppose 32*n = 34*n - 10. What is the least common multiple of 18 and n + 24/2 + -5?
36
Let r(k) = -4*k**3 - 4*k**2 - 660*k - 1316. What is the smallest common multiple of 624 and r(-2)?
3120
Let c(w) be the second derivative of 1/12*w**4 - 6*w - 2/3*w**3 - w**2 + 0. Calculate the least common multiple of 16 and c(6).
80
Suppose 4*b - 304 = 4*k, -3*b - 2*k + 158 + 60 = 0. What is the lowest common multiple of b and (10/60*2)/(4/216)?
666
Let l = -2/5207 - 442579/41656. What is the common denominator of l and 91/1006?
4024
Let i = -810 - -806. Let d(p) = p**3 + 4*p**2 - 2*p + 12. Calculate the least common multiple of d(i) and 16.
80
Let w be -2 + (-3 - 4 - -19925). Let t = -6/509 + -64571/6108. Find the common denominator of (-6)/(-14) - (w/112)/13 and t.
12
Let b = -38518 - -12942157/336. Calculate the common denominator of -137/432 and b.
3024
Suppose -3*l = -15, 0*g + 2*l - 116 = -g. Suppose -4*c - g = -s - s, -c = -2*s + 97. What is the common denominator of 3/(-7)*(-59)/(-3) and s?
7
Suppose 0 = 34*n + 9481 - 33349. What is the lowest common multiple of 546 and n?
4914
Let j = -303/2 + 1147/8. What is the common denominator of j and 44/(-536) - (0 - 0)?
536
Suppose 0 = -5*m + 5815 - 335. Let z be 9/(30708/m)*62/(-36). Let h = 2/853 - z. What is the common denominator of 38/3 and h?
9
Calculate the lowest common multiple of 516 and 1*2779/70 + -1*12/(-40).
5160
Let q = 1623308/3393 - 14475/29. Let d = 176/9 + q. What is the common denominator of (-1212)/132 + 9 - 329/(-55) and d?
65
Suppose -5*w - 282 = -r, -5*w = -3*r + 1190 - 404. Calculate the lowest common multiple of r and 1680.
5040
Suppose -432 - 80 = -32*u. What is the least common multiple of 1512 and u?
3024
What is the common denominator of -8/85 and 320/(-256)*(0 + 14/(-125))?
850
Let k be 8 + (-272)/36 - (-36154)/5856. Let c = k + -7/976. What is the common denominator of -29/36 and c?
36
Let p = 2/8211 + 435157/106743. Calculate the common denominator of -31/3562 and p.
3562
Let w be 5/(585/(-813351)) + (1 - 3). Let h = w - -6953. Find the common denominator of h and -59/18.
234
Let b = -1019 - -1033. Calculate the lowest common multiple of 30/((3/2)/1) and b.
140
Let k = -471/16 + 1511709/51376. Calculate the common denominator of k and -69/26.
6422
Let b(w) = -w**3 + 2*w**2 + 33*w. Let n = 708 + -713. What is the least common multiple of 1244 and b(n)?
6220
Let v(o) be the second derivative of -o**5/20 + o**4/6 + 2*o**3 + 6*o**2 - o - 76. Let x = 0 - -1. Calculate the lowest common multiple of x and v(-2).
4
Let q = -4/1685 - -4558/500445. What is the common denominator of -43/33 and q?
297
Let w = -620 + 1054. What is the common denominator of 119/10 and (174/(-70))/((-124)/w)?
10
Suppose 0 = 5*w + 2376 + 3224. Let j = 11219/10 + w. Find the common denominator of j and 37/(-518)*39/3.
70
Suppose y = -4*y + 20. Suppose 0 = -y*t + 11 + 9. Let f(j) = 12*j - 34. Calculate the smallest common multiple of t and f(3).
10
Suppose 2*h + 12 = -2*h. Let s = 2354 - 2348. What is the least common multiple of s and (20/(-6))/(2/h)?
30
Let q(x) = 4*x**2 - 60*x + 867. What is the least common multiple of 2 and q(17)?
2006
Suppose -3*z - 17 = 22. Suppose 0 = -78*k + 96*k - 252. Let t = z + k. What is the smallest common multiple of 10 and t?
10
Suppose 2*f - 12 = -f. Let m = 143 + -143. Suppose 4*c - 5*y - 66 = m, -72 = -5*c - y + 2*y. Calculate the smallest common multiple of c and f.
28
Let m(c) = -7*c - 3. Let r be m(1). Let x be r/35*(491 - (0 + 3)). Let d = x - -133. What is the common denominator of d and 31/19?
133
Let c be 25/((-250)/(-43894520))*(-9)/(-1016). Let z = 38883 - c. Find the common denominator of z and 61/18.
2286
Let s(w) = 16*w**3 - 4*w**2 - 30*w - 30. What is the smallest common multiple of s(4) and 12?
1620
Let b = 25 - 44. Let v = b - 19. Let j = v - -48. What is the least common multiple of 12 and j?
60
Let j = 1421 + -1221. What is the lowest common multiple of j and 1000?
1000
Let z be (1 - 0/(-2)) + 154. What is the common denominator of 1/(-4)*430/z and (147 + 0)*(9 - (20930/180)/13)?
186
Let h(y) = -4 - 19*y + 2*y - 1. Let s be h(-2). Let b = s + -23. What is the smallest common multiple of b and 80?
240
Let z = 194551/813552 + -1/5982. What is the common denominator of z and -113/442?
3536
Suppose 199*o - 70*o - 516 = 0. What is the lowest common multiple of 274 and o?
548
Suppose -3*k = -2*z - 0*z + 43, 0 = -4*z - 2*k + 78. Suppose 3*x + 2*x + z = 0. Let m(r) = -3*r + 2. What is the least common multiple of m(x) and 20?
140
Let u be 2/(-2)*0/(-13 + 7). Suppose 2*g + 56 - 72 = u. Calculate the lowest common multiple of 15 and g.
120
Suppose -g = -t - 2*t + 6, g = -t - 6. What is the least common multiple of 148 and g - (5 - 23) - 2?
740
Let k = -556 - -559. Let d(z) = 70*z - 78. What is the lowest common multiple of 27 and d(k)?
1188
Calculate the lowest common multiple of 4*(-2320)/200*(-50)/4 and 50.
2900
Let c(i) = -9*i - 26. Let h be c(-18). Let g = 188 - h. Calculate the smallest common multiple of 40 and g.
520
Let k = -212 + 223. Suppose 0 = 6*i - 23 + k. What is the smallest common multiple of i and 14?
14
Let q(v) = 438*v - 8944. Calculate the least common multiple of q(24) and 4704.
4704
Let y = -71015 - -38064025/536. Calculate the common denominator of y and 81/1474.
5896
Let b be (-2)/(-6) + (-101152)/174. Let a = b - -625. Calculate the lowest common multiple of 20 and a.
220
Suppose -5*o = 4*t - 11, -2*o + 0*o + 8 = 2*t. What is the lowest common multiple of -1 + 1 + 10/(-1) + 43 and t?
99
Let m = -1568059/4 + 389300. Let c = m - -2695. Find the common denominator of c and -89/8.
8
Let o = -189 + 191. Suppose 2*x = 4*x + 14. Calculate the common denominator of o + 465/(-35) + (-2)/x and 4/9.
9
Let j be 7 - 4 - (1 - 5). Let k = 2/3801 + 49397/30408. What is the common denominator of k and 90/21*j/(-11) + 4?
88
Find the common denominator of -17/198 and (770/(-44))/(81/(-12)).
594
Calculate the common denominator of -19/3 and ((-70)/(-52))/7*876/(-120).
156
Let t = -813 - -2874. Calculate the lowest common multiple of 1145 and t.
10305
Let r be 3/1 + (4 - (-1 + 32)). Find the common denominator of 97/8 and 18/r + -1*78/(-44).
88
Suppose 2 = 3*i - 5*g + 4, 0 = -4*i - g - 18. Let a(n) = -n**2 - 2*n + 8. Let l be a(-6). Find the common denominator of 45/26 and (2*(-13)/i)/((-36)/l).
234
Let b(p) = -3*p**3 - 163*p**2 - 212*p + 7. What is the least common multiple of 3780 and b(-53)?
3780
Let n be (1/6)/((-100)/2054775). Let t = 3433 + n. Calculate the common denominator of t and 83/12.
24
Let u = -752 + 8264/11. Let k = -149813/1480824 + -7/9432. Find the common denominator of u and k.
1727
Let p = -101/536 - -18909/87904. Find the common denominator of p and 17/451.
14432
Let i(r) = 3*r + 39. Let g = 99 - 111. Let s be i(g). Suppose s*y + 74 = 170. What is the least common multiple of y and 16?
32
Let r = 2 - 0. Suppose -r*m + 80 = -0*m. Calcul