.
12
Let c(b) = 5*b**2 + 48*b + 37. Calculate the smallest common multiple of 12 and c(-11).
228
Suppose 4*d - 3 = 4*h + 73, 3*d - 17 = -5*h. What is the lowest common multiple of 52 and d?
364
Calculate the common denominator of 25/83 and 10/8*(408/(-18) - -6).
498
Let x = -178334/105 + 11846/7. Calculate the common denominator of 31/24 and x.
120
What is the common denominator of 31/48 and -10*212/264 + 4 - -5?
528
Let q = -117 + 119. Find the common denominator of 11*(63/(-24) + q) and (58/(-32))/((-6)/8).
24
Let r be (-1 + (-36)/8)/(2/(-1545)). Let c = -4270 + r. Find the common denominator of c and -25/86.
172
Let q = 64 + -46. Let v(j) = -j**3 + 16*j**2 + 18*j - 15. Let y be (-260)/(-15) + (-2)/6. Calculate the least common multiple of v(y) and q.
18
Let z = -5983/1773 + 30/197. Let o = -3/3682 - -59846/16569. Calculate the common denominator of o and z.
18
Let x = -14/305 - -5043/23485. Suppose 3*b - 5*b = 66. What is the common denominator of b and x?
77
Suppose 0 = 7*u - 4*u - 12. Let v(o) = 2*o - 3*o - 3*o + o**3 + 3 + o**2. What is the lowest common multiple of v(2) and u?
28
Let x = -1860 - -466858/251. Let a = -4793/3012 - x. Calculate the common denominator of -17/22 and a.
132
Let w = -2965 + 35647/12. What is the common denominator of 107/312 and w?
312
Let u = 1/98 - -3125/1078. Suppose 10*b + 6 = 8*b. Calculate the common denominator of u and 414/24 - (b - (-2)/1).
44
Let g = -2/14535 - -596251/2296530. What is the common denominator of -53/8 and g?
632
Let h(j) = j**2 - 2*j - 5. Let d be h(4). Suppose d*x = x + 20. Suppose -2*a + x = -10. What is the smallest common multiple of 9 and a?
90
Let x be ((-21667)/1)/(2/10). Let y = 566700383/5231 + x. Let s = y + -235367/73234. Calculate the common denominator of -99/20 and s.
140
Suppose 33 = 2*v + 3*z, 17*v + 37 = 19*v - z. What is the smallest common multiple of v and 24?
72
Suppose 1265 = -554*m + 669*m. Let h = 11 - 15. Let z = 6 + h. Calculate the lowest common multiple of z and m.
22
Suppose 12 = -6*n + 60. What is the common denominator of (-74)/44 - (3 + -1) and ((-14)/n)/((-3)/(198/(-24)))?
176
What is the common denominator of -103/14 and (82/(-49))/((-240)/210)?
28
Let z = 735 - 5783/8. Calculate the common denominator of (1 + 8)/(25/(-3)) and z.
200
Let p be 2584/(-48) + 1/(-6). Let v be 90654/p - (-1)/1. Let m = v + 1671. Find the common denominator of -75/4 and m.
36
Let d(k) be the first derivative of 2*k**4 + 2*k**3/3 - k**2 - 1. Calculate the least common multiple of 10 and d(1).
40
What is the common denominator of (7928/(-720) + 11)/(1/97) and 2/81?
810
What is the least common multiple of 7/21*(5 + -2 - -6) and 3?
3
Let q = 36499992 + -76503986747/2096. Let c = -15/131 - q. What is the common denominator of 2 - 1*(-41)/(-2) and c?
16
What is the least common multiple of (-22)/(-3)*(0 - -3) and (-24)/(-14)*(-84)/(-9)?
176
Let n = 1267/4 - 7625/24. Calculate the common denominator of -119/36 and n.
72
Let r = -748 + 758. Calculate the least common multiple of r and 6 - (0/2 - 0).
30
Let i = -290561695/14 - -20768953. Let z be -2 + 3 + 14538 + -1. Let f = i - z. Calculate the common denominator of -79/14 and f.
14
Let h be ((3 - 0) + 46031)*(-6)/15192. Let f = h - -3/211. What is the common denominator of 75/14 and f?
42
Let n(b) = b**2 - 8. Let x be n(-4). Let u be -5*4/x*-2. Suppose -v = -u*v + 112. What is the least common multiple of 4 and v?
28
Let n be -18*(21/6)/(-7). Calculate the least common multiple of (-33)/n*(-11 + 8) and 11.
11
Suppose -38*q + 33*q - 5*g = 10, q - g = 4. What is the lowest common multiple of q and 432?
432
Suppose 110 = c - 5*s, 52*s = -2*c + 47*s + 190. Calculate the smallest common multiple of c and 10.
100
Calculate the common denominator of (-120)/(-129)*(75/(-20) + 4) and 8/15.
645
Let f(k) = k**2 + 3*k + 1. Let d = 352 + -344. What is the least common multiple of d and f(-5)?
88
Let d = 1510 + -1393. What is the smallest common multiple of d and 4?
468
Let u = 1590847236630 - 286350091204997/180. Let y = u + -13396681. Let m = -685/9 - y. Find the common denominator of 49/12 and m.
60
Let c = 14 + -10. Suppose 7*l - 5*t = 2*l + 165, 3*l + c*t - 134 = 0. Let r = l - 24. Calculate the smallest common multiple of 4 and r.
28
Suppose 6*v - 9*v - 4*x + 54 = 0, 2*v - 2*x - 22 = 0. What is the smallest common multiple of v and 126?
126
Let d(l) = -24*l - 22. Let p be d(-5). Suppose 0*x = 3*x + 2*n - p, -4*x = -3*n - 108. Calculate the lowest common multiple of 24 and x.
120
Suppose 3*p = -2*d - 1297, -5*d + 0 = 10. Let r = p - -281. Calculate the common denominator of (-1255)/r - (-4)/5 and -23/4.
12
Let x(o) be the second derivative of o**3/3 - 2*o**2 - 3*o. Let l be x(4). What is the common denominator of 8/6 + 2/l and 31/8?
24
Let w = -17 + 52. Let j = w - 31. Calculate the least common multiple of j and 7.
28
Let c = -15517/14 - -1109. Let b = 799/50 - -88/25. Find the common denominator of c and b.
14
Let p = -71 + 31. Calculate the common denominator of (-186)/p + -2 - 0 and 15/2.
20
Suppose 4*c + 22 = 2*v, 3*c + 2*v = 1 - 0. Suppose 2*p + 4 = -w, -13 = -4*w - 3*p - 4. Calculate the common denominator of -79/6 and c/(-24)*(-904)/w.
6
Suppose -5*i + 21*h + 169 = 22*h, 3*i = 5*h + 79. Let b = -6 - -24. Calculate the least common multiple of b and i.
198
Let n(z) = z**3 - 2*z**2 + 2*z. Let i(d) = d. Let c(l) = -i(l) + n(l). Let q be c(3). What is the common denominator of -55/18 and 15/q*(-395)/25?
36
Let g be (-6)/8 - (-2669)/(-60). Let n = -177/5 - g. Find the common denominator of 121/42 and n.
42
Let j = 83 - 50. Let z = j - -69. What is the smallest common multiple of 1/(-3 + z/33) and 7?
77
Let b(l) = -l**2 - 5*l - 3. Let u be b(-3). Find the common denominator of (u/(-10))/3*-44 and (-6 + 4)/((-50)/20) + -5.
5
Let c = 33 + -29. Suppose c*i + 32 = 6*i. What is the smallest common multiple of i and 26?
208
Let u(c) be the third derivative of -c**4/12 + 11*c**3/2 + 9*c**2. Calculate the lowest common multiple of u(14) and 27.
135
Suppose 3*b + 5*d = 42, -2*b - 4*d + 21 = -3*d. Let i = 72 - -49. Suppose -u + i = 10*u. What is the least common multiple of u and b?
99
Suppose 2*y = -3*u + 21, -5*y = 4*u - 34 - 29. Suppose 5 + y = 4*d. What is the least common multiple of (-1 - -6) + 62 + -62 and d?
5
Let c = 3 + 15. Suppose 4*y - 3*v - 15 - 32 = 0, -3*y + 3*v + 39 = 0. Calculate the least common multiple of y and c.
72
Suppose -2*g + 41 = 17. Let a(p) = 3*p**2 + 15*p - 87. Calculate the smallest common multiple of g and a(4).
84
Let s(a) = -a**3 - 2*a**2 - 4*a - 1. What is the least common multiple of s(-3) and -6 + 4024/144 - (-2)/36?
220
What is the common denominator of ((-3)/(75/(-245)))/(-8) and 26/35?
280
Suppose 4*s + 206 = -294. Let r = s + 17. What is the common denominator of r/(-8)*(-7)/24 and -33/28?
112
Let q = 176634487/744 + -237412. Find the common denominator of q and -45/16.
1488
Let a(n) = 2*n + 17. Let d(l) = -l**2 + 11*l + 17. Let q be d(12). Calculate the common denominator of a(q) and 29/9.
9
Suppose -2*c = -0*c + 5*f - 100, 2*c - f - 124 = 0. Suppose -48 = -4*d - 3*k, -5*d + c = -0*d - 3*k. What is the smallest common multiple of d and 6?
12
Calculate the lowest common multiple of (-11)/(1/(-1)) - 0 and 54/(-30)*(4 + -9).
99
Let u = -2 + 5. Suppose -2*m = u*m - v - 12, -2*v = -5*m + 9. Suppose -2*t + 14 = 2*p, -m*t = t + p - 40. Calculate the lowest common multiple of t and 3.
33
Let z = -4331 - -6421. Let n = -335047 + 3995467/12. Let x = n + z. What is the common denominator of x and 77/26?
156
Let s = -3288/11 + 6665/22. Let j = -2/7525 - 338593/120400. What is the common denominator of s and j?
176
Let v = 63 + -42. Suppose -3*n = -0*n - v. Suppose 0 = 6*f - 37 + n. Calculate the smallest common multiple of f and 5.
5
Let s = 245 + -236. Let n = 12 - -3. What is the lowest common multiple of n and s?
45
Let m(z) = 3*z**2 + 6*z - 30. Calculate the least common multiple of m(-10) and 126.
630
Suppose -5*l + 6*l = -3*u + 2337, 3115 = 4*u + l. What is the lowest common multiple of 22 and u?
8558
Suppose -4*s + 129 = 857. What is the common denominator of -101/4 and ((-5)/10)/(8/s)?
8
Suppose 2*i - 10 = i. Suppose 5*d - 21 = -3*a, 3*a - 51 = 2*d + 3*d. Let x(b) = -2*b**2 + 25*b - 5. What is the smalle