Let o = -2/58085 + 291271/24569955. Calculate the common denominator of o and 7/1269.
1269
Suppose 28 = 5*z - 3*l - 6, 2*z + 2*l = 20. Suppose z*h = -72 + 264. What is the smallest common multiple of 30 and h?
120
Suppose -29 = b - 410. Suppose -n + 515 = b. What is the least common multiple of 18 and n?
1206
Suppose -20561 = -33*d + 2836. Let o = d - 687. Let l(i) = 2*i**2 - 2*i - 2. Calculate the least common multiple of o and l(4).
22
Calculate the common denominator of (-4)/275*-69*10/40 and 67/150.
1650
Let v be 12 - (3 + (0 - 3) - -2). Let h be (-51)/(-15) - 4 - (-126)/v. Find the common denominator of 43/36 and (3 + -1)/(10/((-680)/h)).
36
Let r be -19 - ((0 - -3) + -6 - 0). Suppose -5*h = -5*p + 2*p - 87, -3*h = 2*p - 37. What is the common denominator of h and (-156)/r - 0/4?
4
Suppose n + 27 = 13. Let y = n + 346. Suppose 0 = 4*o + 3*b - 664, 5*o + y = 7*o + 3*b. Calculate the lowest common multiple of o and 4.
332
Suppose 15 = -5*r, 134*r = 2*f + 133*r - 1199. What is the smallest common multiple of (-1200)/(-66) + 4/(-22) and f?
5382
Let f = 13542049/32866890 + -8/103355. What is the common denominator of -43/1166 and f?
3498
Let x(v) = -20*v**2 - 1398*v + 144. Suppose -19 - 29 = -2*z. Calculate the least common multiple of z and x(-70).
24
Let z(v) = 8*v**2 + 57*v + 3. Let i be z(-8). Let p = 111 - i. Calculate the lowest common multiple of 6 and p.
156
Suppose 3*x + 2*x + 5 = 0. Find the common denominator of (x/178)/(30/1770) and -41/6.
534
Let x be (4/(-5))/(-843 + (-91)/(-7)). Let y = 159939/170150 - x. Find the common denominator of y and 75/16.
656
Calculate the common denominator of -103/264 and 34/680 + 1218/4840.
2904
Let k = -3/12581 - 1547433/125810. Calculate the common denominator of 111/2290 and k.
2290
Suppose 1 = -2*l + 7. Suppose -40*u + 66 = -18*u. Suppose 79 = 5*h + 2*c, -u*h + 57 = 6*c - 8*c. What is the least common multiple of h and l?
51
Let t = 2910/13 + -68683/312. What is the common denominator of t and (-1746)/192 - (-8 - 3)?
96
Find the common denominator of -17/74 and 40/(-32)*5544/(-700).
370
Suppose 0 = 6*f - 2*f + 16, -3*q + 15 = -3*f. What is the common denominator of 95/84 and 546/(-224) + 4/q?
336
Suppose 80*l = 81*l - 118. Let w = 136 - l. Let n = 2 + 2. What is the smallest common multiple of w and n?
36
Suppose 3*f = 4*n + 130, n = -4*f - 4*n + 163. What is the common denominator of ((-15)/3 + 447/6)/f and -85/28?
84
Let b(l) = -l**3 + 8*l**2 - 8*l + 15. Let f be b(7). Suppose -4*y - 4*u = -f*y + 108, -4*y + 5*u = -107. What is the lowest common multiple of y and 8?
56
Let w = 2/45683 + -3471938/685245. Suppose -42000 = 4*a - 14292. Let c = a + 62278/9. What is the common denominator of c and w?
45
Let w(g) = -g**2 - 25*g - 60. Let z be w(-20). Calculate the common denominator of (-74)/z - (3 - 4) and -7/6.
60
What is the common denominator of (-12)/(18720/(-3109)) + (-4)/2 and 83/60?
1560
What is the common denominator of 122537/(-4062) - (0 - 5)*1/(-6) and 85/428?
428
Let o(g) = g**3 - 48*g**2 + g + 80. Let t be o(48). Suppose -2*k - 2*i = -78, -4*k + 7*i - 4*i = -t. What is the least common multiple of k and 28?
140
What is the common denominator of 11/204 and 22581/(-660060)*-14*(0 - 1)?
19380
Let o be ((-1103435)/(-60))/((-152)/132). Let u = o - -15971. Let m = 319/152 - u. Calculate the common denominator of -97/12 and m.
228
Let m be ((-105)/(-10))/(((-2)/1)/(-4)). Let h be m/63 + (-71)/198. Let o = -241/396 - h. Find the common denominator of 5/22 and o.
132
Let o(i) = -2*i + 10. Let n(u) = u - 4. Let q be n(2). Calculate the least common multiple of o(-13) and 9 + (-7 - (q + -2)).
36
Let o = -127 - -85. Let k be 22/121 + o/(-11). What is the common denominator of 61/40 and (k/(-144))/(567/282 + -2)?
360
Suppose 0 = 3*f + 2*f + 2*k - 174933, -4*f + 139944 = k. Let o = 23557 - f. Let b = o - -68717/6. Calculate the common denominator of b and 24/17.
102
Let b = -1085/34 - -7/17. Find the common denominator of -27/179 and b.
358
Let s = 86379 + -8810543/102. Calculate the common denominator of (-910)/72 + 4/18 and s.
204
Suppose 1 - 3 = -2*r, -2 = 2*s - 4*r. What is the smallest common multiple of (-36)/33 - (-1058)/506 and s?
1
Suppose -1469 = 2*l + 439. Let m = -934 - l. Let z(s) = -s**2 - 5*s + 4. Calculate the least common multiple of m and z(-4).
40
Calculate the lowest common multiple of 10 and (278 + -280)/((-3)/867).
2890
Suppose 39*j - 66 = 50*j. Find the common denominator of -103/28 and 31/(-64) + (23/j)/(-23).
1344
Suppose 53*r - 2558 + 650 = 0. Calculate the lowest common multiple of r and 264.
792
Let m(u) = 2*u - 46. Suppose 4*t - 52 = -k, k - 16 = 5*k. Let j be m(t). Find the common denominator of -27/10 and (-8)/48 + 22/j.
90
Let u = -24785 - -26540. What is the smallest common multiple of u and 1755?
1755
Suppose 4*k - 5*j - 55 = k, -41 = -3*k - 2*j. Calculate the common denominator of 33/20*(-6 - 20/k) and 22/7.
70
Let z = 891718 - 1719232367/1928. Find the common denominator of 133/1446 and z.
5784
Suppose 4*h + 8 = 0, 2*y - 5*h - 24 = y. Suppose y*l = 12*l - 2. Calculate the common denominator of (278/60 - 3)/(l/2) and 97/12.
60
Let i = -545 - -624. Suppose 9*w - 304 + i = 0. Calculate the smallest common multiple of w and 36.
900
Let d = -158462 - -380625715/2402. What is the common denominator of d and 117/10?
12010
Let q = -150794 - -361604113/2398. What is the common denominator of 73/2398 and q?
2398
Let y(z) = -2*z - 16. Let l be y(-6). Let m be l - (3 - (-3 - -3 - -694)). What is the common denominator of 1/(-4) + m/(-108) and 55/2?
18
Suppose -21*q + 19*q = -10. Suppose -j + f = -5*j, -f = -q*j + 9. Suppose 6*h - y - 10 = 3*h, j = 2*h + 5*y. Calculate the lowest common multiple of h and 11.
33
Let v be (-4536003)/(-504) + 4/14. Let m = -8996 + v. Calculate the common denominator of ((-1640)/320)/((-5)/6) and m.
120
Suppose -p = -8 - 2. Let u(x) = -2*x**3 + 42*x**2 + 15*x + 646. What is the smallest common multiple of u(22) and p?
40
Let x(j) be the second derivative of -j**5/20 - 3*j**4/4 + 3*j**3/2 + 87*j**2/2 - 2*j + 79. Calculate the common denominator of x(-9) and -47/36.
36
Suppose -3360 = -92*g - 1152. What is the lowest common multiple of g and 2392?
7176
Suppose 9*z - 54 = 4*z + x, 2*x + 8 = 0. Let k(b) = -1 + z + 5 - b - 3. Calculate the smallest common multiple of k(-1) and 9.
36
Suppose 3*m - 4*k = 27, -5*m + 8 + 2 = 5*k. Suppose -m = -d - 2. Suppose 0 = t + 4*l + 3, 5 - 1 = t - d*l. Calculate the smallest common multiple of t and 1.
1
Let c = 35773/19143 + 7/4254. Let k = 27/5 - 298/45. Find the common denominator of k and c.
54
Let f = 45 - 40. Suppose -f*u + 88 = -2*c, -3*u = -2*u + 2*c - 20. What is the lowest common multiple of 10 and u?
90
Calculate the common denominator of (-2)/(-12)*(-102)/249 and -65/12.
996
Let d = -25581 + 3709283/145. Find the common denominator of -24/13 and d.
1885
Suppose 3*y + 10 = 3*g - 8, -5*g + 2*y + 24 = 0. Let t be (-14)/4*(-6 + g). Let u(d) = d**3 - 8*d**2 + 6*d + 8. What is the least common multiple of u(t) and 2?
2
Suppose -38*o + 658 + 904 = -1098. Calculate the least common multiple of o and 105.
210
Let m = 3/37474 - 114501855/599584. Let y = m + 191. What is the common denominator of -91/20 and y?
160
Find the common denominator of -109/864 and -6*2/(-64)*52*22/(-162).
864
Let z = -151419/14 + 10810. Suppose 0 = -4*g + 1314 - 1326. What is the common denominator of g and z?
14
Let h be (-2)/6 - 260/(-6). Suppose 4*p + 3*l + 66 - 5 = 0, 3*p + h = -5*l. What is the lowest common multiple of 22 and (144/(-56))/(1 - p/(-14))?
198
Let s be (-10 - (-189)/18) + (-750)/88. Let c = s + 1173/154. Find the common denominator of 139/18 and c.
2772
Calculate the common denominator of (-11)/6 + 10 + -11*9/9 and (2 - 0)/(40/17).
60
Let m = -2301 + 2328. Let i = -60 - -33. Calculate the least common multiple of m and 4/18 + (-723)/i.
27
Let x(z) = 8*z - 24. Let o be x(4). Let q(n) = 7 - 18*n - 13 - 14 - o*n. Calculate the least common multiple of q(-9) and 8.
856
Let w be (-165)/(-10)*(1 + -73). Let r = -4827/4 - w. What is the common denominator of ((-7)/26)/(1/14 + 0) and r?
52
Suppose 0 = -5*m + 10*m - 9390. Suppose -4*l + m = 5*d, -2*d + 5*l - 741 = -4*d. What is the lowest common multiple of 4 and d?
756
Let 