 + 1435. What is the smallest common multiple of q and (-2 + -4)/(6/(-8))?
72
Let b be 2 - 5 - (-8 + -3357). Let q be (80590/(-24))/1 - 0. Let g = b + q. What is the common denominator of -11/18 and g?
36
Let c(z) = 2*z**2 + 6*z + 9. Let y be c(-2). Suppose p = -0*p - y*q + 42, -2*p + 2*q + 36 = 0. Calculate the least common multiple of p and 12.
132
Let n = -48106/9 + 5339. Let s = 1612 - 11320/7. Calculate the common denominator of s and n.
63
Calculate the smallest common multiple of 84 and 185/3 + (-404)/(-303).
252
Let m be (-644)/2130 + (-26)/(-195). Let f = 2437/284 - m. Find the common denominator of 87/14 and f.
28
Let b(r) be the second derivative of r**5/20 + 7*r**4/12 + r**3/6 + 2*r**2 + 3*r. Let a be b(-7). Find the common denominator of 3 - (70/22 - a) and 28/3.
33
Suppose 504 = -371*t + 392*t. What is the least common multiple of 105 and t?
840
Let h(b) = b. Let w(r) = -r**2 + 19*r - 48. Let o(z) = -4*h(z) - w(z). What is the least common multiple of 4 and o(21)?
12
Suppose -6373 - 32 = 3*b. Let t = b - -47023/22. Calculate the common denominator of t and 23/4.
44
Let m be 3697/2*(-6)/(-3). Let y = m + -51701/14. Find the common denominator of -83/10 and y.
70
Suppose u - 10*u - 19215 = 0. Let k = 4191/2 + u. Let x = 226 + -899/4. What is the common denominator of x and k?
4
Let u(m) = m + 0 - 5*m**2 + m**3 + 1 - 2*m**2. Calculate the lowest common multiple of -1 + -6 + 28/8*6 and u(7).
56
Let b be -1 + 9/8 + (-1212)/(-32). Suppose 3*k = -4*v + 55, b = 2*k + 4*v - 2*v. Calculate the smallest common multiple of k and 12.
84
What is the common denominator of 2 - (2 + (-561)/288 + 2) and -55/336?
672
Let p(y) = -y**3 + 7*y**2 - 6*y + 6. Let j be p(4). Suppose -2*z = 3*z + j. What is the common denominator of -23/3 and (-237)/9*3/z?
6
Let q(p) = -p**3 + 8*p**2 + 10*p + 12. Let t be q(9). Suppose -8 = -2*r - c, -t = -4*r + 5*c - 5. Calculate the least common multiple of r and 14.
28
Suppose -4*u + 7 = p, 63 - 12 = 3*p - 3*u. What is the smallest common multiple of 11 and 0 + p/(-10)*-2?
33
Suppose 14*m + 5760 = 38*m. Calculate the smallest common multiple of m and 10.
240
Let i = -11645/12 + 966. What is the common denominator of i and 1*3 + (-5 - 572/(-72))?
36
Calculate the common denominator of 139*(11/30)/11 and 1434/(-252) + 6/4.
210
Suppose 2*v + p = -3*v + 233, p - 141 = -3*v. Let b be 1 + 0 + (-5 - v). Let c = -30 - b. What is the smallest common multiple of c and 18?
180
Suppose -45*t = -42*t - 192. Let k = 68 - t. Calculate the least common multiple of 12 and k.
12
Let h(x) = -6*x**3 - x**2 - 4*x + 5. Let m be h(3). What is the common denominator of 11/2 and m/(-120) - 2/6?
20
Let k(h) = h**2 - 10*h - 26. Let z be k(12). Let m = -1477/78 - -7/26. Calculate the common denominator of m and ((-55)/(-30) + -1)/(z/(-38)).
6
Suppose b + 5 = o + 2, 4*b + 9 = o. Let v be b/3 + (-22)/(-6). Suppose 18 = v*q - 0*q. Calculate the least common multiple of 10 and q.
30
Let g(x) = -x**2 - 8*x + 23. Let l be g(-10). What is the smallest common multiple of -14*l/((-6)/2) and 14?
14
Let a = -13687/37128 + -3/952. Calculate the common denominator of -62/33 and a.
858
Suppose 22 = d + d. Let r(z) = z**2 + z - 63. Let j be r(0). Let p = j + 72. What is the lowest common multiple of d and p?
99
Let v = 36 + -34. Suppose -p + 5*y = -2 - 11, 17 = v*p - y. Suppose 0 = -6*h + 3*h + 42. What is the lowest common multiple of h and p?
56
Let s = 12 - 12. Suppose -5*p + 1629 + 1271 = s. What is the common denominator of -21/10 and p/(-105)*(-9)/8?
70
Let h = 3410 - 13575/4. Find the common denominator of h and -75/254.
508
Let j = 3210773/76 + -42248. Find the common denominator of -33/8 and j.
152
Let c = -209 + 308. Calculate the lowest common multiple of 33 and c.
99
Let l be ((-3)/9)/((-2)/282). Suppose 19 = -2*m + l. Suppose 0 = -3*s + m + 28. What is the least common multiple of s and 16?
112
Find the common denominator of -106/105 and ((-676)/1404)/((-10)/3).
630
Suppose 2*b + 4*x = 6, 0 = -2*b + 4*x - 2. Let z = -6 + b. What is the common denominator of -11/24 and 2/z*4005/36?
24
Suppose -8*q + 6192 = -12*q. What is the common denominator of q/(-80) - 10/(-25) and 95/6?
12
Suppose -4*m = 2*n - 78, -69 = 8*m - 12*m + n. What is the least common multiple of m and 30?
90
Let d(n) = -n**2 + 9*n + 58. Let h be d(14). Calculate the common denominator of -3*8/h + (-22)/(-18) and -9/11.
99
Suppose 5*v = 20, -v + 19 = -7*l + 4*l. Calculate the lowest common multiple of 16*(l - -6) + 2 and 8.
72
Suppose 0 = -2*k - 4*f + 3541 + 5343, 0 = 4*k + 4*f - 17776. Let a = 39476/9 - k. Let b = 10157/180 + a. Find the common denominator of b and 151/6.
60
Let h = 21892017/2770 + 11868/277. Let s = -220 + 8158. Let q = s - h. What is the common denominator of -99/20 and q?
20
Let t(g) = 2*g**2 + 6*g + 7. Let o be t(-5). Suppose -j - 40 = -3*x + 25, -o = -x - 5*j. What is the smallest common multiple of 16 and x?
176
Let m = 3 + 0. Suppose -4*l = 3*h - 50, -5*h = -5*l + m*l - 40. Suppose -5 + 8 = 3*y. What is the lowest common multiple of h and y?
10
Let y(h) = h**3 - 14*h**2 + 18*h - 17. What is the smallest common multiple of 72 and y(13)?
144
Let w be 1740/14 + 2/(-7). Let z = -54 + w. Suppose 5*q + 0*q = z. Calculate the lowest common multiple of q and 12.
84
Let k = 180357 + -1620175/9. Let s = k - 663/2. Calculate the common denominator of s and 95/4.
36
Let p(g) = -g**2 - 19*g - 60. Calculate the lowest common multiple of p(-12) and 88.
264
Suppose -v - 36 = 5*a - 121, -16 = 4*a. Calculate the common denominator of 67/28 and ((-54)/4)/(252/v).
56
Let n = -1706 - -27307/16. Calculate the common denominator of n and -71/40.
80
Let u = -251127/3680 + 54375873/879520. Let z = -2/16491 + u. What is the common denominator of z and -133/12?
12
Suppose 0 = 2*k + 10, 3*k = -5*j - 2*k + 10. Let u be 105/(-14)*(-8)/(-10). Calculate the least common multiple of j and ((352/12)/(-4))/(4/u).
77
Let b(y) = 10 + 14 + 0*y + 3 + 3*y. Let k(r) = -1. Let u(j) = -b(j) - 18*k(j). What is the least common multiple of 4 and u(-4)?
12
Let t = -45263/13656 - -13/569. Let n = 408591/20 - 20434. What is the common denominator of t and n?
120
Let n = 6 + 6. Suppose n*c = 101 - 5. Calculate the least common multiple of c and 1.
8
Suppose 0*w + 2*w - 20 = 0. Let s be 18*(-1)/(-6)*3. Calculate the lowest common multiple of (s/6)/((-3)/(-8)) and w.
20
Suppose 2*f - 4*b + 20 = 6*f, -2*b + 22 = 4*f. Calculate the lowest common multiple of 170 and f.
510
Suppose 284 - 1204 = -23*w. Calculate the least common multiple of 11 and w.
440
Suppose x = -4*x + 45. Let d be -23 - -4 - (0 + -4). What is the smallest common multiple of x and (-25)/(-3) + 5/d?
72
Let b = -8081 + 5631. Let r = 22124/9 + b. Let v = 6381/2440 - -3/305. Calculate the common denominator of v and r.
72
Let z(u) = u**3 + 7*u**2 + 5*u + 8. Suppose -6*c - 22 = -4*c. Let j = c - -5. What is the smallest common multiple of 6 and z(j)?
42
Let i = 317967 - 12719389/40. Let a = i + 14847/920. What is the common denominator of -47 and a?
46
Suppose -11*l - 174 + 966 = 0. Suppose 14*a - l = 11*a. Calculate the least common multiple of a and 14.
168
Suppose 12 = 8*b + 4. Calculate the least common multiple of 44 and b.
44
Let l = -543 - -550. What is the least common multiple of l and 3?
21
Let f(p) = -2*p - 3. Let y be f(-3). Suppose 0*g + 7 = g - y*k, 5*k - 45 = -4*g. What is the smallest common multiple of 5 and g?
10
Let h = -21448 + 450325/21. Let p = 2539 - 60905/24. Calculate the common denominator of h and p.
168
Let n = -107619/15680 + 549/80. Let j = n + -76805/28224. Find the common denominator of (2/8)/(10/(-102)) and j.
180
Suppose 69*c - 102 = 18*c. Suppose 3*w + 0*w + 5*r = 44, -2*w = 5*r - 26. Calculate the smallest common multiple of w and c.
18
Let x be 0 + 0 - (2 - 1292). Let s = x + -2489/2. Let l = 31/10 - 71/60. Find the common denominator of s and l.
12
Let y = 141 + -220. Let n = -401/5 - y. Suppose 218 = -12*i + 26. Calculate the common denominator of i and n.
5
Calculate the smallest common multiple of 2 + 261/27 + 1/3 and 16.
48
Let v be (-12)/(-42) - 1484218/(-359240). Let h = -42/1283 - v. Find the common denominator of 47/22 and h.
220
Suppose -6*d + 8 = -4*d. Suppose 3*b = d*a - 7 - 9, -2*b = 4*a - 16. Sup