1
Let q(t) be the first derivative of -4*t**2 + t + 1. Calculate the lowest common multiple of (4/10)/(2/30) and q(-1).
18
Calculate the common denominator of (144/2)/6*(-123)/(-120) and (-2)/10*(-1430)/36.
90
Let b = -102409/36 - -5683/2. Find the common denominator of b and -73/3.
36
Let v = -19 + 7. Find the common denominator of -57/14 and (20/v)/(12/(-15)).
84
Let u = 141 - 139. Suppose u*g = -62 + 82. What is the smallest common multiple of g and 10?
10
Let l(h) = -2*h**3 + 9*h**2 - 3*h - 1. Suppose 4*o - 5*t + 8 = -8*t, t + 2 = -2*o. Calculate the smallest common multiple of l(4) and o.
3
Suppose -6*m - m + 14 = 0. Calculate the common denominator of (61/5)/(42/15) and (28/256)/(m/(-8)).
112
Let o be -1 - -1 - -1 - 8311. Let y = o - -182901/22. What is the common denominator of 73/42 and y?
462
Let w = 39 - 67. Find the common denominator of 3*w/18 - (-3)/6 and -43/4.
12
Let p be 2/(-5) + 1162/(-68). Let g = p + 350/17. Calculate the common denominator of (3 - 4)/(10/325) and g.
10
Let s = 374 - 362. Calculate the lowest common multiple of 66 and s.
132
Let r = 839/2 - 396. What is the common denominator of r and (6/(-168))/(4/180)?
28
Let w = 188425/16 + -11771. Suppose -1845 + 395 = 5*q. What is the common denominator of w and 9/4*q/(-105)?
112
Let m be 0 + 113 + 1 + 1. Let w = 2/275 + -23941/2200. What is the common denominator of (-4)/6 + m/(-39) and w?
104
Let g = -2405/2 + 1193. What is the common denominator of (55/183)/(2/3) and g?
122
Let f = 275997058/3219 + -85740. Let l = f + 196391/51504. Let x = -55/4 - -9/4. Find the common denominator of l and x.
16
Find the common denominator of -91/114 and 626/144 + (105/24 - 4).
342
Let j(y) = 6*y**2 + y + 1. Suppose 0*n = -3*n - 3. What is the least common multiple of 15 and j(n)?
30
Let p be 4/9 + (-2322)/(-243). What is the common denominator of 132/(-50)*p/(-8) and 2/3 - (-638)/60?
10
Suppose 18*a - 8*a - 4000 = 0. What is the lowest common multiple of 240 and a?
1200
Suppose -499 = -2*p - 1825. Let a = -6621/10 - p. Let d = 149/8 + -805/72. What is the common denominator of d and a?
90
Let o = -8939 - -89279/10. Calculate the common denominator of -1 + -1 - (-25)/(-4) and o.
20
Let m = 182/55 - -1493/330. Let h be (-2974)/(-8)*2*-2. Let i = h - -23759/16. Find the common denominator of i and m.
48
Suppose 7*u - 35 = 21. Suppose -y + 6 = n, 0 = y + 5*n + 3 - 13. Suppose 3*l = -3*h + 3, -y*h - 3 = l - 0*h. What is the smallest common multiple of l and u?
8
Calculate the common denominator of 4/(-14) + 9020/1680 and 19/108.
108
Suppose x = -0*x + 3*s + 4, 5*x - 31 = 4*s. What is the smallest common multiple of x and 63?
63
Let o = -8444 + 12375. Let u = -35434/9 + o. Find the common denominator of -9/2 and u.
18
Let i(w) = w**3 + 5*w**2 + 4*w. Suppose -7*j - 30 = -8*j. Let p = 27 - j. What is the smallest common multiple of i(p) and 9?
18
Suppose 0 = -3*f + 8 + 4. Suppose 10 + f = 2*d. Calculate the lowest common multiple of d + (-3 - -5) - -2 and 3.
33
Calculate the common denominator of (-5536)/1920 + (-1)/(-6) and 131/66.
660
What is the least common multiple of 62 and 410/287 + 6/(-14)?
62
Let k = 82 + -54. Suppose 5*a = -4*y + 8, -3*a - 2*a = -4*y - 32. Calculate the smallest common multiple of a and k.
28
Suppose 8*a - 90 = 2*a. Suppose -a = 2*g - 29. Let m = -18 + 29. What is the lowest common multiple of g and m?
77
Let a = 445278355/1477694361 + 8/1042833. Let r = 7/218 - a. Calculate the common denominator of 5/8 and r.
104
Let c(i) = -i - 15. Let g be c(-13). Let q = -53077/11256 - -10/1407. What is the common denominator of q and g/(-3)*45/240?
24
Let y(m) = m**2 - 4*m + 2. Let g be y(4). Let f(n) = -12 - 3*n**2 - 3*n**2 + 5*n**2 + g*n**2 - n. Calculate the lowest common multiple of 8 and f(5).
8
Let s = -31 - -35. Suppose s = z - 4. Suppose -3*n - 1 = 2, 3*b - 59 = 2*n. Calculate the smallest common multiple of b and z.
152
Suppose 0 = 14*y + 857 - 1977. What is the smallest common multiple of 608 and y?
3040
Calculate the common denominator of 121/10 and 1/((-14)/8)*3/792.
2310
Let o(k) = k**3 - 3*k**2 - 2. Let b be o(3). Suppose -18 = -c - 2*u, -26*c + 3*u = -31*c + 55. Calculate the lowest common multiple of c and b - (0 + -1 - 17).
16
Let z = -652679679/35932600 - 180/179663. Let x = -151/25 - z. What is the common denominator of 27/(-15) - (-3)/(-6) and x?
40
Let s be -3 + -1*390273/72. Let m = 5426 + s. Calculate the common denominator of m and -107/6.
24
Let w(f) be the second derivative of -f**3/6 + 5*f**2 - 16*f. Calculate the smallest common multiple of w(-5) and 3.
15
Suppose 2*n - 5*c = 127 + 53, 3*n - 220 = -5*c. What is the lowest common multiple of 16 and n?
80
Let q(b) = -6*b - 168. What is the lowest common multiple of q(-31) and 14?
126
What is the common denominator of 4/(-14) - (-10880)/3780 and 1/4 + 894/(-504)?
189
Let y = 528175/27 + -19569. Let m = 4493/432 + y. Calculate the common denominator of (2/4)/((-8)/79) and m.
16
Suppose -1 = v + 3*o, -3*v + 2*o = -3 - 5. Suppose -21 = -d + v*t, 0*d - 5*d + 5*t + 100 = 0. Calculate the least common multiple of 1 and d.
19
Suppose 0 = 2*t, -3*u + 4*t + 5 + 7 = 0. Let h = 1065/2 + -518. What is the common denominator of h and (-2)/(-16) + (-2)/u?
8
Suppose 5*w + 2*m = m + 20, 2*w + 4*m - 26 = 0. Calculate the least common multiple of (-1 - -1) + (7 - 3) + w and 2.
14
Calculate the common denominator of 2086/1204*-7 - -11 and 2/11.
946
Suppose 7*j - 18 = 4*j. What is the least common multiple of 344 and j?
1032
Suppose 3*f + 2 = 5*f. Let a(q) = 0 + 7*q - 1 - q. Calculate the lowest common multiple of a(f) and 9.
45
Let k = -5310775/4026 + -10484/183. Let t = 1376 + k. What is the common denominator of t and 0 + (215/12)/(-5)?
132
Let a(c) = -c + 1. Let r be a(-2). Suppose 2*y = -4*x + 20, 2*y + r*y - 2*x = 38. What is the smallest common multiple of 7 and y?
56
Let l = -10903/24 - -1369/3. Find the common denominator of 5/(1*(-18)/69) and l.
24
Let h = -62 + 52. Find the common denominator of 1575/462*((-12)/h)/2 and -14 - ((-20)/16 - -1).
44
Let n(y) be the third derivative of 0 - 1/6*y**3 + 5*y**2 + 0*y - 1/12*y**4. What is the common denominator of -81/4 and n(8)?
4
Let c = -837/7 + 17903/154. Find the common denominator of c and 1*4 + (-2)/(140/445).
154
Let q be (-15)/(-20) + 2/8. Let d be (-1)/3 - (3 + 24/(-18)). Find the common denominator of -62/3 and d*q*(-147)/154.
33
Let b be (-2)/12 + (-652)/(-24). Let r = b + -15. What is the least common multiple of 132/21 - 8/28 and r?
12
Let d = -11017/1106 + 138/79. Let h = -14440 + 20261. Let s = 128119/22 - h. What is the common denominator of s and d?
154
Let p = -12 + 16. Suppose -k = 4*l + 1 - 10, p*k - 22 = -2*l. Calculate the lowest common multiple of 2/7 - 549/(-63) and k.
45
Let a = 63547/90 + -3569/5. Let t = -18505 + 555017/30. Calculate the common denominator of a and t.
90
Let z = 4975/23046 + -30/167. Calculate the common denominator of z and -23/84.
1932
What is the common denominator of 47/9 and 944/(-232) + (4 - -1)?
261
Suppose 0*s = -2*s. Let m = -39015/8 + 4885. Find the common denominator of (-35)/(-26)*(s + 2) and m.
104
Let g be 86/18 - 4/(-18). Suppose -2*c - 6 = -g*c. What is the least common multiple of c and 22?
22
Let b be 3386/(-14) + (-3 - (-3 - -1)). Let m = b + 13999/56. Find the common denominator of 6/(-15) - 446/60 and m.
24
Let n = -4 - -14. Let q be 49/(4 - 2 - 1). Let j = 61 - q. What is the least common multiple of n and j?
60
Let n = 298/43 - 13111/1290. What is the common denominator of n and (32/6 + -1)*(-2)/2?
30
Calculate the common denominator of 73/60 and 0 + 6/(-1) - (-34608)/4480.
120
Let z = 35 - 29. Suppose 5*j - 46 = -z. Calculate the least common multiple of j and 22.
88
Let n(p) be the third derivative of p**6/120 - p**5/60 + p**4/24 + 3*p**2. Let o be n(2). Suppose 28 = o*t + t. Calculate the least common multiple of 2 and t.
4
Let j(u) = u**3 + 8*u**2 + 6*u + 7. Let z be -5*(3/(-3) + 2). Let n be j(z). Calculate the common denominator of 87/14 and -1 + 0 - n/24.
42
Let f = -22 - -12. Let t = 12 + f. Let m = -1 + t. What is the smallest common multiple of m and 10?
10
Let t = -308 + 218. Find the common denominator of ((-12)/16)/(t/(-148)) and -59/12.
60
Suppose 0 = -494*p + 477*p + 408. Calculate 