f t and 2.
128
Let u(f) be the first derivative of -f**2/2 - 3*f + 6. Let n be u(-6). Calculate the lowest common multiple of 4/n*882/12 and 8.
392
Let b be (-41)/(-2)*(4 - 6). Let q = b - -38. Calculate the smallest common multiple of (-3)/(-2)*(q + (-186)/(-18)) and 15.
165
Let f = -3106901/88 + 35305. Calculate the common denominator of 83/4696 and f.
51656
Let w = -84 + 66. Let t = -262 + w. Calculate the common denominator of -67/10 and -4 - (-4)/(t/(-185)).
70
Suppose -9*g = -20*g + 8*g. Suppose -3*z + 4*y - 52 = -5*z, 2*y + 4 = g. What is the smallest common multiple of 50 and z?
150
What is the common denominator of -3/272 and (-1)/(-4)*(9877/(-70))/17?
1360
What is the lowest common multiple of 80 and 4058 - ((-21)/63)/(2/12 + 0)?
16240
Let n = 7684/5 - 1548. Calculate the common denominator of n and 17/5.
5
Let d = -1215121/11 - -110593. Let z = d + -23575/198. What is the common denominator of z and -121/30?
90
Let h be 14*4/(21*(-4)/90). Let x = h + 4. What is the common denominator of (-402)/x - 3 - 4/16 and 55/6?
42
Suppose -11*o - 746 = -4244. What is the lowest common multiple of o and 6?
318
Suppose -192 = 417*p - 423*p. Let f be ((-8)/10)/((-6)/15). Suppose -u + f - 20 = -2*z, 5*z + 2*u = 36. Calculate the least common multiple of p and z.
32
Suppose 6*u = -9*u. Suppose u = -z - 41 + 99. What is the smallest common multiple of 2 and z?
58
Let d be (-6950)/(-18512) + 48/(-12). Let v = 1/2314 - d. What is the common denominator of 83/88 and v?
88
What is the common denominator of 34/(18496/357)*(-68)/(-15) and -187/150?
600
Let m(r) = -215*r**3 + 65*r**2 + 130*r. What is the lowest common multiple of m(-2) and 60?
5160
Suppose -9342 = -3*b - 3*h, 227*h + 12457 = 4*b + 230*h. Calculate the lowest common multiple of 445 and b.
3115
Let t = 1050 + -1005. Suppose 12*n - 81 - 207 = 0. Calculate the least common multiple of n and t.
360
Suppose -26*u - 109 = 281. Calculate the least common multiple of 114 and (-2 + -10)*10/u.
456
Calculate the least common multiple of 6 and (6177/(-142))/((-2)/56).
1218
Suppose 4 = -2*p - 4*g, 42*p - 44*p = g - 11. Suppose 3*a - 3 = 2*a. Suppose a*x = x + 32. Calculate the lowest common multiple of x and p.
16
Let v = -22 + 69. Calculate the common denominator of 12 and v/(-10) - 2 - 3/(-3).
10
Let v = 260 - 212. Find the common denominator of ((v/(-6))/(-16))/((-20)/396) and 131/12.
60
Suppose -569*l + 572*l = 996. Find the common denominator of 41/1312*l/2 and 47/68.
272
Let i(a) = 4 - 19*a - 4 - 10*a. Let r be i(-1). Let k = r + -26. What is the smallest common multiple of 9 and k?
9
Suppose 12 = -2*x + c - 2*c, 0 = 3*x - 3*c. Let o = 8 + x. Let d(j) = -j**2 - 27*j - 102. What is the smallest common multiple of o and d(-22)?
8
Suppose v + 2*b + 16 = 5*b, b = -4*v - 77. Let d = v - -24. Suppose 3*u + 19 = -d*m - 175, 3 = -u. Calculate the common denominator of -47/11 and m.
11
Let r be (-48)/(-20)*20/(-18). Let h = -1 - r. Let u = -10/3 + h. What is the common denominator of u and -21?
3
Let c = 22748159/24195 + -4/4839. Let z = 1901/2 - c. Find the common denominator of 79/32 and z.
160
Let v(g) = 2*g**2 - 2. Let q be v(-1). Suppose -c - 4*c - 40 = q. What is the common denominator of (-54)/c + (6/12)/(-1) and -3/5?
20
Let k(s) = -64*s - 5 - 49 - 4 + 54*s. Calculate the least common multiple of k(-7) and 6.
12
Suppose -100 = 17*d + 8*d. Calculate the common denominator of (5 + (-42)/(-9))*6/d and -11/12.
12
Suppose 2*q + 0*o = -4*o - 16, 4*o + 26 = 3*q. Calculate the common denominator of ((-724)/8 - 1)/(-69) and (16/84 + 0)/(q/(-51)).
322
Let b = 38307 - 2145105/56. Let c = 83/5 + -6621/385. Calculate the common denominator of b and c.
616
Let l(y) = 6*y**2 - 14*y - 32. What is the lowest common multiple of l(6) and 1240?
6200
Let b(t) = t**3 + 45*t**2 - 64*t - 738. Calculate the least common multiple of b(-46) and 180.
180
What is the smallest common multiple of 168 and (2142/(-408))/(((-6)/224)/3)?
1176
Let f = -450085/28 + 16076. Find the common denominator of f and 103/2172.
15204
Let u(s) = -4*s**3 - 23*s**2 - 18*s - 13. Let c(w) = -w**3 - 4*w**2 - 1. Let o(f) = 3*c(f) - u(f). What is the smallest common multiple of o(-8) and 20?
580
Suppose 2*d = -5*z - 25, z + 5 = 5*d - d. Suppose d*o + 14812 = 46*o. What is the smallest common multiple of o and 18?
2898
Suppose 5*o + 5*z + 467 = 2*z, o + 4*z = -107. Let p = o + 97. Let i = -21 + 27. Calculate the least common multiple of p and i.
6
Suppose -b + 69 = n + 10, 3*n + 2*b - 173 = 0. Suppose 5*g + 0*g = -2*m + n, 169 = 5*m + 2*g. What is the lowest common multiple of m and 70?
70
Suppose -10 = 3*r - 8*r - 5*r. Calculate the lowest common multiple of r and 4804.
4804
Let r = 3350899/4526445 - 2/58785. Find the common denominator of -6*(-8)/2*217/(-420) and r.
385
Let a = -257/28 - -59769/6524. Let y = 1162/13747 - a. Find the common denominator of y and 190/14*10/25.
413
Let s = 312 + -314. What is the lowest common multiple of 36 and -9*(6 - 5)/s*6?
108
Let p = -378 - -38. Let x = -316 - p. What is the common denominator of -11/16 and x?
16
Let s be -330*((-45)/10)/(-1). Let w be s/(-54)*16/10. Find the common denominator of 2/w*((-3 - 19) + -1) and 35/2.
22
Let d(u) = 16*u**2 + u + 1. Let x be -1*(-458 - (-2 - -7) - 7). Let s = x + -410. What is the lowest common multiple of d(-1) and s?
240
Find the common denominator of -49/36 and 90/1575 - (4 - 210085/56700).
324
What is the common denominator of -15/4 and ((-7)/(-16478))/((-3)/(-71270)*5) + -2?
14124
Let v = 320320 + -74954761/234. Find the common denominator of v and 4 - (-233)/(-10) - -7.
1170
Suppose 0 = -2*q + 3*v - 7397, 0 = -3*q + 2*q - 3*v - 3676. Let o = -51705/14 - q. Let l = -7/1045 - -86819/12540. Find the common denominator of o and l.
84
Let m be -2*(-2 - (-3)/2). Let z = 68682 + -411973/6. What is the common denominator of z and 43*((-5)/(-4) - m)?
12
Let s = 27539231/220 - 125178. What is the common denominator of (-12570)/2640 + ((-24)/(-15))/(8/20) and s?
440
Suppose 5*r - 25 = 0, 8*x - 6*x - 2*r - 108 = 0. Suppose -5*k = 39 - x. Calculate the lowest common multiple of k and (-22)/(-2) + (-6)/(-6).
12
Let k(w) = 2*w**2 + 55*w + 134. Calculate the least common multiple of k(-26) and 56.
56
What is the common denominator of 9/238 and (21 - (23 + -11)) + (-366)/28?
238
Suppose 12*x = -2100 - 3228. Let j = -414 - x. Calculate the least common multiple of j and 84.
420
Calculate the common denominator of -8 - (4142/(-792) + -3) and -26/33.
396
Let h be 5/(-10) + (-5 - (-13)/2). Suppose -6*r = -2*r. Suppose x + 2*a = -r*x - h, -x = 5*a + 7. What is the least common multiple of 10 and x?
30
Calculate the least common multiple of 186 and (-41646)/(-242) - 96/88.
10602
Suppose 2*t - 10 = 4*z, -3*t - 2*z = t - 10. Suppose 0 = 4*v, 5*o - 36 = t*o + v. What is the common denominator of 81/4 and (-1510)/(-8)*o/(-135)?
12
Let c = 39 - 29. Suppose 4*q - c = -5*d, -2*d = -7*d - 3*q + 5. Find the common denominator of -61/2 and (1/78)/(d/(-261)).
52
Suppose -2*t + 6*t = -16. Let y(h) = h**3 + h**2 + 4*h + 4. Let w be y(t). Calculate the common denominator of 67/3 and (-18)/(-99) - w/154.
21
Let o = -18 + 20. Let w = o + 12. Let k = w - 11. What is the lowest common multiple of 11 and k?
33
Let g = 1595 + -388. Let o = g - 45841/38. What is the common denominator of o and 50/11?
418
What is the common denominator of 59/20 and -2 + -2 + 206/(-132)*(-9)/5?
220
Let x(q) = q**2 - 2*q + 4. What is the lowest common multiple of (-123)/(-6) - (-5)/5 - 147/98 and x(-4)?
140
Let d be 2/(-13) - (-1114)/(-26). Let r = 46 + d. Calculate the lowest common multiple of 0 + (24/r - 0) and 4.
8
Let n = 3 - 1. Let b(a) = -3*a**2 + 15*a + 60. Let x be b(-3). Let l(u) = -2*u**2 - 31*u - 24. Calculate the smallest common multiple of n and l(x).
60
Let r = 515 + -2125/4. Calculate the common denominator of r and 15/20*114/(-63).
28
Let g(q) = 2*q**2 + 2*q - 76. Let h = 16 + -24. Calculate the lowest common multiple of g(h) and 42.
252
Let u be (-15)/((-4)/((-40)/(-15))). Suppose -3*h - h - 20 = 0, 5*z = -5*h + u. Let f(x) = 7*x - 17. What is the lowest common multiple of f(z) and 48?
96
What is the least common multiple of 3 and (-28587)/(-273) + (-1 - (-9)/7)?
105
Suppose -1858 = -10*n + 5*n + 7*j, -3*j = 