t m = -2201121/392 - -5615. Calculate the common denominator of m and -89/22.
4312
Let h(z) = z**3 - 6*z**2 + 3*z + 7. Let i be h(3). Let c = 13 + i. Suppose 0 = 3*y + 12, -y - 16 - 30 = -c*p. What is the least common multiple of p and 30?
210
Let l be (16/10)/4 - 90/(-25). Find the common denominator of 17 + 44/(-12) + l and -143/30.
30
Let a = -766 - -793. Calculate the lowest common multiple of a and 1251.
3753
Let s be 138985/(-171) - 2/9. Let t = s + 32527/40. Find the common denominator of -31/5 and t.
40
Let l be 3*3/36 + (-259679)/(-7245959). Let x = l - -28/13103. What is the common denominator of 1/3 and x?
948
Let k = 3835 - 3607. Calculate the least common multiple of k and 494.
2964
Let q = 78 - 404/5. Calculate the common denominator of q and -12*(-6)/(-63)*39/(-12).
35
Find the common denominator of (-117)/(-1053)*(-31)/(-12) and -143/804.
7236
Let s = 417 + -416. Calculate the common denominator of 8/(-3 + s) - (-3040)/300 and 14/36*(-9)/(-6).
60
Let b = -39156946/77 - -508532. Find the common denominator of b and ((-1)/8)/(33/(-285)).
616
Suppose -2 = -y - 0*y + 3*z, 0 = -y - 4*z + 2. Suppose 4*m + 1214 = 4*a + y*m, 2*m = -4*a + 1234. What is the common denominator of ((-5)/28)/(18/a) and 93/14?
28
Suppose 0 = -2*k + 16 + 104. Suppose k = -4*m - h, -2*m - 2*m = -5*h + 60. Calculate the lowest common multiple of 4 and (8/3)/((-80)/m + -5).
8
Let c = 22606/573067 - 9/9713. Find the common denominator of c and 47/59.
649
Let m = -2380 - -18893. Let h = 495343/30 - m. What is the common denominator of h and -97/42?
210
Suppose -645 = -22*u + 1929. Let r = 84 + u. What is the least common multiple of r and 9?
603
Suppose 0 = -n - 3*g - 3, 3*g - 6 = -0*n - 4*n. Let t = n - 2. Let y = -22565 + 22574. Calculate the least common multiple of t and y.
9
What is the least common multiple of (69/12)/(12/960) and 17?
7820
Suppose 0 = 2*n - 41 + 3. Suppose 12*l + 35 = n*l. Suppose l*v + 13 = 18. Calculate the least common multiple of v and 18.
18
Let j(o) = -2*o**3 - 4*o**2 + 4*o - 5. Let r(h) = -120*h - 1911. What is the least common multiple of r(-16) and j(-4)?
387
Let x = 8/559 + -3239/187265. Let l = 5018/2345 - x. Find the common denominator of -25 and l.
7
Suppose 5*f = -4*o - 16, -f - 4*f + 3*o = 23. What is the lowest common multiple of (f + (-370)/5)/((-20)/30) and 9?
117
Suppose 35*c = 31*c + 68. Suppose -213 = -4*b - c. Let v = 53 - b. What is the least common multiple of 20 and v?
20
Let t be (-26)/(-52)*(-1 + -669). Let a = -3091/9 - t. Find the common denominator of a and 74/3.
9
What is the common denominator of ((-3)/12)/(40/66) and (-63)/(-16)*(-9)/1890*-28?
80
Let m = -34 + 39. Let b = 178 + -294. Let t = b - -123. Calculate the smallest common multiple of t and m.
35
Suppose 0 = -10*k - 4*k + 2142. Let m = -150 + k. What is the smallest common multiple of 6 and m?
6
What is the common denominator of (2*4/(-6))/((-3572)/1216) and ((-4)/(-5) + -2)/((-20)/(-15))?
1410
Let y(q) = -51*q + 1068. What is the smallest common multiple of y(19) and 22?
198
Let b(j) = j**2 + 5*j + 6. Let d = -62 + 62. Suppose 0 = -3*t - d*t + 60. Calculate the smallest common multiple of b(-4) and t.
20
Let z(j) = j - 18. Let k be z(-4). Let a be (2/k)/(-1)*(-140408)/80. Let u = a + 1820/11. Find the common denominator of 20/3 and u.
30
Suppose 4*q = 5*a + 19, -a - 2 = -3*a. Find the common denominator of -79/39 and 3*((-5)/((-90)/(-146)))/q.
234
Let f(d) be the first derivative of -d + 1 + 5*d**2 - 1/3*d**3. What is the least common multiple of f(7) and 12?
60
Let i be 0 + (-90718006)/22675260 - -4. Let v = i - -7/4526. Let p = v + -11413/1670. What is the common denominator of p and 43/3?
6
Suppose 227*r = 582 + 2142. What is the smallest common multiple of 3255 and r?
13020
Let y be -2 - 0 - (2/(-2) - -553). Let d = -4517/8 - y. Find the common denominator of 3/(-8)*(-10)/(-6) and d.
8
Suppose -2*f = f - 27. Let m(h) = -13*h - 439. Let l be m(-34). Suppose 0 = -n - 5*b - 15, -l*n + 23 = -2*b - 0. What is the least common multiple of n and f?
45
Suppose 0 = 5*y - 20, 3*n + 5*y = n + 26. Suppose 0*m + 4 = -4*m. Calculate the least common multiple of n and 22 + ((-4)/4 - (-2 + m)).
24
Let m be 1*(2 - -6) + 8/(-2). Calculate the lowest common multiple of 6/1*(-30)/(-9) and m/18 + (-106)/(-9).
60
Let z = 190/497 + -405095/1053143. Let m = z + -103666/69927. What is the common denominator of m and -95/102?
1122
Let r be (6/(-2))/((-2)/14). Suppose 0 = k + 4*q - 21, 4*k - k - r = 2*q. Suppose 2821*f - 2460 = 2739*f. What is the least common multiple of k and f?
90
Let o(x) = -x**3 + 48*x**2 + 151*x - 102. What is the smallest common multiple of 24 and o(50)?
2448
Let m = 7697/2772 - 79/63. Find the common denominator of 3/55 and m.
220
Suppose 5*g + 72 + 148 = 5*f, -3*f + 132 = g. Suppose 0 = -53*o + 32*o + 588. Calculate the lowest common multiple of o and f.
308
Let o(c) = c**3 + 129*c**2 + 374*c + 516. Calculate the lowest common multiple of 1632 and o(-126).
8160
Let s = 633670950 - 250933863541/396. Let z = -4656/11 - s. Calculate the common denominator of 50/7 and z.
252
Let r be (40 - 45)*(-27 - 2). Suppose 5*i - r = -t, i - 102 = -3*i + 2*t. Calculate the least common multiple of i and 40.
280
Let l = -36955077/721945298 - 2/506273. Calculate the common denominator of -12 and l.
1426
Suppose -7*f = -22*f + 20250. What is the lowest common multiple of f and 900?
2700
Let g(h) = -7*h + 45. Let a be g(7). What is the common denominator of ((-346)/(-756))/1*(a - -3) and -21/16?
3024
Let b = 2/545 + 2939/1090. Let d = 216 + -313. Find the common denominator of b and 2/(-20)*(0 - d).
10
Let o = 10704115/11078 - -5/22156. Let a = o + -976. Let r(h) = 5*h - 9. Find the common denominator of r(-6) and a.
4
What is the common denominator of 155/198 and (-18)/(19440/650) - (0 - 0)?
1188
Calculate the smallest common multiple of 21/3*75330/651 and 162.
810
Let v = -48 + 13. Let a = -19 - v. Calculate the lowest common multiple of (-336)/(-154)*(-5 + 126/12) and a.
48
Let h(c) = -2*c**2 - 19*c - 19. Let x be h(-8). Suppose -t + 3*p = x*p, 3*p + 13 = 5*t. What is the smallest common multiple of (27/(-36))/(t/(-32)) and 8?
24
Calculate the common denominator of 17/128 and (-299)/(-288) - (1016/72 + -14).
384
Let h(y) = -y**3 - 4*y**2 + 4*y + 2. Let z(l) = -l**2 - 13*l + 7. Suppose -6*j - 79 = -1. Calculate the smallest common multiple of h(-5) and z(j).
7
Let i = 91/31 + -77/248. Calculate the common denominator of i and 7/500.
1000
Suppose -168*d + 16006 = 348*d - 215162. Calculate the smallest common multiple of d and 1008.
4032
Let f(n) = -47*n - 198. What is the smallest common multiple of f(-9) and 552?
41400
Let q = -21 - -57. Find the common denominator of 88/21 and (-134)/(-18) + (-8)/q.
63
Let c = 58 - 12. What is the common denominator of -26/1211 and c?
1211
Let h = 1946/5 + -54381/140. Find the common denominator of 69/284 and h.
9940
Let o = -2/510641 + 50554211/192001016. Calculate the common denominator of 79/470 and o.
1880
Suppose 404*f - 395*f = 4356. Let q = f + -462. Calculate the least common multiple of q and 10.
110
Suppose q - 18812 = -86*q - 5501. What is the smallest common multiple of q and 1071?
1071
Suppose -3*g = -7*g - 8. Let l be g + 1 - (-409)/2. Let b = l - 199. Find the common denominator of b and 29.
2
Let s = -26099/18 + 1456. Let k be 1949/(-2)*3*8/(-36). Let r = 671 - k. What is the common denominator of s and r?
18
Let c(w) = 5*w + 200. Let t be c(-40). Suppose t = -3*j - 1 + 7. What is the lowest common multiple of 9 and j?
18
Let s = -8466 - -50849/6. Let i = -2/1203 - 1465/3208. What is the common denominator of s and i?
24
Let v = 9058 - 7946. What is the smallest common multiple of v and 12?
3336
Let v = -45101/22840 - -114/571. Let p = 27578 - 1378801/50. Find the common denominator of p and v.
200
Let j(h) = 10*h**2 - 3*h - 3. Let m be j(-2). Suppose -1027 = -32*t + 157. Let u = m - t. Calculate the smallest common multiple of 6 and u.
6
Suppose a - 2*d - 732 = 0, 107*a - 102*a - d = 3660. Calculate the least common multiple of 2562 and a.
5124
Let p = 353/5 - 2003/30. Let u = -38 - -37. Calculate the common denominator of p and (-978)/156 - 5/u.
78
Let z = 16663/14 - 345871/266. Let o = z - -98791/912. Let m