alculate the least common multiple of 6 and w.
258
Suppose g - 7298 = -n, 21854 = 3*n + 3*g - 8*g. Find the common denominator of (-17)/(n/1080) - (-2)/13 and (6/16)/(135/2060).
198
Let n be (-115)/(-920)*1/((-5095)/(-109113)). Let r = -12417536/1019 + 12186. Let a = r + n. What is the common denominator of 61/36 and a?
360
Let z(n) = n**2 + n + 8. Let v be z(0). Suppose -5*f + 17 = -5*t + v*t, 5*t - f = 19. Suppose 51 = 8*r - 37. Calculate the lowest common multiple of r and t.
44
Let a = -18805 + 18810. Let u(l) = -40*l**3 + 2*l**2 + l. Calculate the smallest common multiple of a and u(-1).
205
Suppose 0 = 1601*f - 1600*f - 3, -183 = -5*l + 4*f. Calculate the lowest common multiple of l and 1476.
19188
Let m be (-60)/4*1/(-1). Let x = 101 + -1. Suppose m*z = 20*z - x. Calculate the smallest common multiple of 14 and z.
140
Let x be (148315/40)/((-14)/(-10) + 3). Let l = 9324/11 - x. Find the common denominator of l and ((-1)/(-15))/(10932/(-1818) - -6).
80
Let s(b) = -40*b**2 - 4*b - 5. Let v be s(2). Let w = v - -185. Calculate the lowest common multiple of 224 and w.
672
Let o(y) = -y + 6. Suppose 19 = -5*c + 79. Let j be o(c). What is the lowest common multiple of 60 and 6*4/j*-3?
60
What is the common denominator of (9324/324 + 152/36 + -4)/(-330) and 23/360?
3960
Suppose -58*u + 435 = 29*u. Suppose -2*b - 49 = -9*b. Calculate the least common multiple of u and b.
35
Let m(f) = -f**3 - 23*f**2 + 44*f + 35. Let v be m(-25). Let j = -12501/2408 - -20/301. Calculate the common denominator of j and ((3 - 1)/(-10))/((-14)/v).
56
Let m be 1/(-2) - 9/6. Calculate the least common multiple of (-20)/10 + m/(-3)*78 and 40.
200
Suppose -4*q + 9 = -3*q. Suppose 0 = -l - 3 + q. Suppose b = 5*y - 135, 3*b + l = -9. Calculate the lowest common multiple of y and 2.
26
Let c be (-11)/((-22)/(-4824)) + 4. What is the common denominator of 4/7 and c/96 - (-6)/8?
21
Let c = 4390 - 43847/10. Let j = -82 + 127. Calculate the common denominator of c and (-1)/5*(-3 - j).
10
Let h(b) = -b**3 + 33*b**2 + 148*b + 48. Calculate the smallest common multiple of h(37) and (-6)/((0 - 1/(-2)) + -1).
48
Let w(d) = -5*d - 39. Let v be w(-8). What is the least common multiple of 10 + (0/(-5) - 2)*v and 44?
88
Suppose 0 = 43*f - 122*f + 51192. What is the least common multiple of f and 99?
7128
Calculate the common denominator of 3/14*45/27*(-309)/1800 and 157/336.
1680
Let q = 39 + -22. Suppose 5*k = s - 161, 5*s + 1404*k - 1403*k = 675. Calculate the smallest common multiple of q and s.
136
Let c be (2/4)/(((-20)/4)/880). Let u be (10/66 + (-16)/c)*6. Calculate the common denominator of 53/12 and (9/8)/(u - (-71)/(-36)).
12
Let s be (-9)/(-2 - (-16073)/8038). Let q = 578881/24 - s. Calculate the common denominator of (-629)/(-14) - (-1424)/7476*(3 + (-42)/8) and q.
24
Let l(w) = w**3 + 19*w**2 + 18*w + 32. Let x be l(-18). Calculate the common denominator of ((-2)/x)/((-11)/(-594)) and 57/26.
104
Let j be 24/2*(-9)/27. Let r be (-51 - -3)*(j/3 + 1). What is the common denominator of -23/10 and 19/(-6) - (r + -18)?
30
Let y(c) = -c**3 - 16*c**2 - 30*c - 29. Let j be y(-14). What is the common denominator of -20/23 and (2 + -65)*((-96)/(-99) + j)?
253
Let m = -4509/11440 - 5/208. Calculate the common denominator of m and 17/155.
1705
Let g = -264 + 632. What is the common denominator of 53/48 and (-2 + (-204)/(-117))*g/(-64)?
624
Let l = 1703077/116 + -14682. Find the common denominator of l and -87/56.
1624
Let z(x) = -x**3 - 10*x**2 - x - 8. Suppose -5*c + 5020 = -5*b, -2*b + 1115 = -4*c + 5119. Calculate the smallest common multiple of z(-10) and c.
998
Let p be (-1)/3*(45/6258)/(-5). Let i = p - -16160/13559. Find the common denominator of i and -43/4.
52
Let o = -121 - -118. Calculate the common denominator of (-159)/30*o/6 and -41/20.
20
Let k be (-6222)/87*(3 + 7637/28). Let y = 19720 + k. Calculate the common denominator of 67/12 and y.
348
Let t = 10907 - 883486/81. Let p be (-1 - (-1527)/1500)*(-60)/72. Let n = -151/600 + p. Calculate the common denominator of t and n.
405
Let y(g) be the third derivative of g**5/20 - 41*g**4/24 - 41*g**3/6 + 10*g**2 - 6*g. What is the least common multiple of 10 and y(15)?
190
Let n = -4609/846 - -1/282. Calculate the common denominator of n and -81/80.
720
Let q = -1226127/128 - -9579. Let p = -3281/28800 + q. What is the common denominator of p and 14/3?
225
Suppose -11 = 2*k - 49. Suppose -17*h = -k*h + 80. What is the smallest common multiple of 36 and h?
360
Let l = 1227/130 - 137/13. Find the common denominator of l and 57/100.
100
Let l = -3746 - -74897/20. Let j = 6804637/384261 - -252/5569. Let c = -65/46 - j. Find the common denominator of l and c.
60
Suppose 851*i - 900*i + 933 = -1811. Suppose -d + 4*w = -w, -3*d + 2*w = -26. Calculate the lowest common multiple of d and i.
280
Let v(x) = x**2 + 2*x - 8. Suppose 10*h - 25 = 5. Let y(f) = 2*f**2 + 2*f + 4. What is the lowest common multiple of y(0) and v(h)?
28
Suppose -25655 = 43*o - 6391. Let x = -458 + 4589/10. What is the common denominator of (-11256)/o*1/3 and x?
40
Suppose 0 = -4*q + 3*f + 368 + 783, -q - 7*f = -311. Calculate the smallest common multiple of 110 and q.
3190
Let s(c) = -c**2 + 19*c + 202. What is the least common multiple of s(18) and 396?
1980
Let b = 847822/877065 - -1/116942. Let m = -119113/66 - -3605/2. Find the common denominator of m and b.
330
Suppose 0 = 2*n - 5*x - 147, 0 = -6*n + 8*n - 2*x - 138. What is the smallest common multiple of 26 and n?
858
Let g = -27915725945/6942562 + -13/315571. Let c = g - -4025. Find the common denominator of 77/142 and c.
1562
Let q = 2155700727086/4389 - 491159887. Let z = -4/627 - q. Calculate the common denominator of z and (85 + -17)*(-5)/(-10).
7
Let u be (139588*6/180)/((-164)/(-177)). Let x = 25104/5 - u. What is the common denominator of x and 17/6?
246
Suppose -2*a = 8, -j - 6*a + 8 = -8*a. Suppose i - x - 121 = 0, -i - 5*x - 36 + 127 = j. What is the smallest common multiple of i and 8?
232
Suppose 0 = -5*j + 32 - 97. Let m(q) = q**2 + 12*q - 7. Let r be m(j). Suppose -r + 2 = -2*h. What is the smallest common multiple of h and 11?
22
Let q(o) = 9*o**2 + 48*o + 212. What is the smallest common multiple of q(-5) and 9?
1773
Suppose -7*g = -22 - 6. Suppose -12 = -0*u + 2*u. Let s = 16 + u. Calculate the lowest common multiple of g and s.
20
Let k = -591 + 94. Let g = 511 + k. What is the least common multiple of g and 432?
3024
Suppose 5*s = -2*q + 61, -4*q - s - 38 = -187. Suppose 545 = 3*o + y, -2*o + 5*y = 6*y - 363. Let j = 194 - o. What is the lowest common multiple of j and q?
228
Suppose 4*w - 2128 = -7*k + 1493, 0 = 3*w - 5*k - 2767. Calculate the smallest common multiple of 1 and w.
914
Find the common denominator of 31/(-2)*(6 + (-17750)/2955) and -49/30.
5910
Let h = 17263 - 17253. Calculate the smallest common multiple of 486 and h.
2430
Let r = 193 - 173. Find the common denominator of -61/5 and 122/(-15)*(-15)/r.
10
Suppose 37 = -13*b + 14*b. Let j = -26 + b. Let l = 21 - j. Calculate the least common multiple of 10 and l.
10
Let o = 7 + 8. Let l = 121930 + -121915. What is the lowest common multiple of o and l?
15
Let j = 458 - 293. Calculate the smallest common multiple of 96 and ((-55)/j)/(2/(-144)).
96
Let l = 29/2185 - 153781/227240. Calculate the common denominator of l and (-474*3/(-18)*-2)/(-32).
208
Let k = -242/53 + 8549/2650. What is the common denominator of k and 93/28?
700
Let r = -2707 - -2735. Calculate the least common multiple of r and 96.
672
Let l(s) = -s**3 + 10*s**2 - 12*s + 2. Let a be l(6). Let q = -1317 - -3899/3. Find the common denominator of q and (a/12)/((-11)/33).
6
Suppose 5417 + 939 - 311 = 31*c. What is the least common multiple of c and 26?
390
Calculate the common denominator of 47/916 and (-296)/36*(6 - (-63)/(-7)).
2748
What is the common denominator of 124/(-36) - 1*-1 and 13/4*((-14749)/441 - -31)?
18
Let d = -721 + 1122. Let r = 713 - d. What is the smallest common multiple of 33 and r?
3432
Let b be 1 + -1 - 2 - -10. Let h(v) = -446*v + 1326*v - 440*v - 439*v + 4. What is the lowest common multiple of 12 and h(b)?
12
Let u be (-2)/14 + 1425/175. Calculate the common denominator of (-4)/(-3)*(-5)/(-2) and 2/u + (-4194)/(-360).
30
Let j b