alculate the common denominator of x/(-16)*12/7 and -93/8.
56
Let c(o) = -o**3 + 7*o**2 - 6*o - 2. Let z be c(6). Find the common denominator of (z - 217/(-28))*(-8)/102 and 23/9.
153
Let w(q) = -8*q + 12. Let c(a) = 2*a**2 + 17*a + 3. Calculate the lowest common multiple of c(-9) and w(-3).
36
Calculate the smallest common multiple of 56 and (10/(-1))/5 - (5 + -9).
56
Let y = -5 + 29. Suppose 0 = -16*d - 419 + 67. Let v = y + d. Calculate the least common multiple of 28 and v.
28
Suppose -3 + 12 = -3*d. Let w = 0 + d. Find the common denominator of 2/w - 927/189 and 49/11.
77
Let n(u) be the second derivative of -5*u**3/6 + 2*u**2 + 12*u. Calculate the smallest common multiple of n(0) and 2.
4
Let v(k) = -k**2 - 8*k - 7. Let q be v(-6). Suppose -q*u = -u. Find the common denominator of 7/18 + (3 - u) and -55/12.
36
Let m be (-8)/2*1*2/4. Calculate the lowest common multiple of (-3)/(-1*1/1) and (5/(-2) - m)/((-3)/24).
12
Let f = 265 - 256. Calculate the smallest common multiple of f and 9.
9
Suppose -3*p = -6*p + 6. What is the least common multiple of p and ((-12)/(-4))/((-9)/(-48)*2)?
8
Suppose 0*f - 66 = -3*f. Suppose 0 = -3*y - 5*p - 221, 4*y + 290 = 3*p - 24. Calculate the lowest common multiple of 20/(-14) + 1 - 2035/y and f.
286
Let n(a) = 2*a**2 + 55*a - 19. Calculate the smallest common multiple of 10 and n(-28).
90
Let b = -1149/3616 + -10/113. What is the common denominator of -99/68 and b?
544
Suppose 0 = -3*i + 2*i + 1448. Let j = i - 14581/10. Calculate the common denominator of 24/(-8) + 3/16 and j.
80
Let u = 907 + -7209/8. Let k = 11/71 + 8951/426. What is the common denominator of u and k?
24
Let d(s) = 3*s - 2. Let j be d(2). Suppose 0 = -4*u - j - 4. Calculate the common denominator of (3 + 11/(-5))*u and -17/5.
5
Let x = 27 - 13. Suppose 0 = 3*c - 5*o + 24, 19*o - 15*o = 2*c + 20. What is the smallest common multiple of c and x?
14
Suppose -3*x + 93 = z, x + 253 = 2*z + 32. What is the smallest common multiple of 48 and z?
432
Suppose -4*f - n = -79, f + n - 4*n - 36 = 0. What is the smallest common multiple of f and 70?
210
Let y = 293 + -291. What is the smallest common multiple of 8 and y?
8
Suppose -m + 2*m = -4*i - 100, 0 = m - 4*i + 116. What is the common denominator of -24/17 and (m/14)/(-4*3/8)?
119
Calculate the smallest common multiple of 18 and 67/((-8)/(-8)) + -10.
342
What is the common denominator of (18/126)/((-22)/(-18)) and -23/143?
1001
Find the common denominator of -37/351 and ((-500)/(-336) - 2)/((-9)/(-24)).
2457
Let w = 375/8 - 173/4. Let n = -25194/509 - 3/1018. Calculate the common denominator of w and n.
8
Let w = 219131/40830 + -1/4083. Find the common denominator of 101/24 and w.
120
Suppose 5*k = 5*p + 42 + 23, -k + 7 = 5*p. Calculate the least common multiple of 15/(-90) - (-2)/k*145 and 32.
96
Calculate the smallest common multiple of (-3)/(-12)*2 - 6111/(-42) and 20.
1460
Let s = -7761 + 46445/6. Find the common denominator of s and 81/16.
48
Suppose i = -3*i + 16, -5*y + i = -31. Calculate the smallest common multiple of 5 and y.
35
Suppose 3*q + 2*k = 4*q + 16, -4*q = -3*k + 59. Let v = 2/91 + 4815/364. What is the common denominator of q and v?
4
What is the smallest common multiple of 20 and 43/(-301) + 254/14?
180
Let c(q) = q - 4. Let y be (-2)/7 + (-627)/133. Let l = -3 - y. Calculate the lowest common multiple of l and c(10).
6
Let u(p) = -1699*p + 24. What is the least common multiple of 12 and u(-2)?
20532
Suppose 1256 = -4*c + 3932. Let t = -229379617/342640 + 222/21415. Let y = t + c. Calculate the common denominator of -33/8 and y.
16
Let t(c) = c**3 - 7*c**2 + 11*c - 7. Calculate the smallest common multiple of t(7) and 70.
70
Let v = 2/275 - -26671/550. Calculate the common denominator of 361/171 - 2/4 and v.
18
Let b be ((-3651)/4)/((-3)/(-6)). Let n = -1786 - b. Calculate the common denominator of n and 3*-1 + ((-14040)/(-64))/15.
8
Suppose 0 = -3*i - 4*o + 287 + 83, 2*i = -3*o + 247. What is the common denominator of (i/6)/(18/27) and -67/22?
22
Let r be (-5*2)/(1/(-4)). Suppose 5*n - r = 3*n. What is the common denominator of -131/6 and 135/(-56) - n/(-70)?
24
Let g(n) = -2*n**3 - 2*n**2 + 3*n + 2. Let y be g(-2). Suppose p = y*p. Suppose 7*j - 3*j - 56 = p. Calculate the least common multiple of 18 and j.
126
Let s be 2*(0 + 1 - 0). Suppose -s*d - 2 = -0, -b + 5 = -d. Suppose -3*m = 3, -3*t + m - b*m + 30 = 0. Calculate the smallest common multiple of 2 and t.
22
Let h(g) = 3*g + 0*g - 22 + 39 - 2*g. What is the lowest common multiple of 60 and h(-7)?
60
Let j(z) = -2*z**2 - 6*z + 3. Let q(l) = -3*l**2 - 7*l + 2. Let m(y) = 4*j(y) - 3*q(y). What is the lowest common multiple of 48 and m(4)?
240
Suppose 3*w - 10 + 4 = 0. Suppose 3*b = -5*z + 38, w*b - 28 = -4*z - 0*z. What is the smallest common multiple of b and 2/(8/(-60)*-5)?
6
Suppose -3*n + 12 = -0*n. Suppose 7 - n = -x. Calculate the smallest common multiple of (-1 - x)/2 + 19 and 2.
20
Let q be ((-280)/356)/(-5)*(-573)/(-44). Let o = q + 24/89. Calculate the common denominator of o and -125/6.
66
Let w(p) = -2*p - 1. Let k be 16/6*(-6)/4. Let o = 1383 - 1374. Calculate the lowest common multiple of o and w(k).
63
Let h = 21 - 14. Suppose 4*x - h = 17. Suppose 0 = -4*j + 5*j - 12. What is the lowest common multiple of j and x?
12
Suppose 0 = -4*z - 9 - 3. Let t(h) = -9*h - 3. Calculate the lowest common multiple of t(z) and (-3432)/(-234) - 4/(-3).
48
Calculate the common denominator of 11/24 and -1*76/96 - 3.
24
Let f = 2/33883 - -507329/15518414. Find the common denominator of -49/18 and f.
4122
Let n(f) = f**3 + 28*f**2 + 2*f + 17. Let u be n(-28). Let l = -309/8 - u. Calculate the common denominator of 77/20 and l.
40
Let n = 2 + -1. Let s(y) = y**3 + 6*y**2 - 2*y - 9. Let z be s(-6). Suppose z*h - 3 = 3. What is the smallest common multiple of n and h?
2
Let o = 8 + -4. Suppose 0 = o*p - 3 + 119. Let k = 2125/759 - 5/69. What is the common denominator of k and p?
11
What is the common denominator of -21/16 and (-8)/(-47360)*24*165/(-6)?
592
Let g = -422 + 462. Calculate the least common multiple of g and 4.
40
Let r = 458467/22 + -20843. Find the common denominator of r and -1 + 35/14 + -10.
22
Let u(w) = w + 1. Let r be u(-9). Let x = -4 - r. Suppose -t - 31 = -2*l, -3*l + 70 = x*t - 4. What is the lowest common multiple of l and 6?
18
Calculate the least common multiple of 712/6*(15/10 - 0) and 2.
178
Let a = -586 - -4679/8. What is the common denominator of 42/583 and a?
4664
Let w be 0/(2/1 + -5). Suppose -4*z + 6*z - 50 = w. Calculate the lowest common multiple of 1*13 - (-2 - -4) and z.
275
Suppose -90 = -5*h + 3*q, 3*h - 4*q + 18 = 72. What is the lowest common multiple of h and 20?
180
Let f = 1708345/12 - 142270. Let p = 104 - f. Calculate the common denominator of 43/22 and p.
132
Let q = -2 - -9. Let s(t) be the third derivative of t**4/12 + t**3/3 + 5*t**2. Calculate the least common multiple of q and s(4).
70
Calculate the common denominator of (-120)/200 + -1 + 19/2 and 131/66.
330
Let y(g) = 28*g**2 + 11*g + 17. Let m be y(10). Let z = m + -17519/6. What is the common denominator of z and -37/6?
6
Let j = -17 - -47. Suppose -8*p + 79*p = 1917. What is the smallest common multiple of j and p?
270
Let u(m) = m**3 - 2*m**2 + 7*m + 2. Let s be u(5). Let b be (-10)/15 - s/(-6). Calculate the common denominator of (-4148)/(-360) - 4/b and -97/2.
10
Suppose 1 + 5 = -t. Let u = -78441/20 + 3928. What is the common denominator of u and (t/56)/((-16)/84)?
80
Let i = 10981144345619/8432 - 1302317880. Let w = 6/527 + i. Calculate the common denominator of w and ((-1)/3)/((-20)/(-39)).
80
Find the common denominator of -6/11 and (-2)/13 - (-1536)/(-3536).
187
Let m(r) = r**2 - 4*r - 1. Suppose 0 = -0*q + 5*q - 45. What is the smallest common multiple of m(q) and 138/12 + 1/2?
132
Let r be (6/15)/(1/30). Suppose 4*y = 2*n + 22, 2*y - 33 = 3*n - r. Suppose 6*i = y*i + 24. What is the smallest common multiple of 6 and i?
24
Let i(u) = -2*u - 10. Let w be i(-6). Let o = 3 + w. Let l = o - -1. Calculate the least common multiple of 4 and l.
12
Let d = 547/7 - 14923/189. Find the common denominator of d and 3*146/(-99) + 3.
297
Let m = 2353 + -2248. What is the least common multiple of 102 and m?
3570
Let v =