Let w(k) = -k**2 - 15*k - 22. What is the lowest common multiple of 18 and w(-13)?
36
Let j be (2 - (-5)/(-2))*-6. Suppose -5*t + 105 = 5*u, -t + u + 20 = j*u. What is the lowest common multiple of 14 and t?
154
Let z = 1335/18196 - 1465963657/163764. Let s be 1*(-155 - 2)*-57. Let f = s + z. Calculate the common denominator of f and 77/18.
18
Let y = 789 + -3105/4. Calculate the common denominator of 2/(-2)*67/10 and y.
20
Calculate the common denominator of 41/9 and (-3)/3 - (-3 + -37).
9
Let h(y) = y**2 + 9*y + 11. Let k(v) = -3*v + 1. Let m be k(3). Calculate the smallest common multiple of 4 and h(m).
12
Suppose 2*v - 16 = 2*a, 0 = -2*v - 0*a + 4*a + 26. What is the smallest common multiple of 11 and v?
33
Suppose f = 457 + 6069. Let v = 52285/8 - f. Find the common denominator of v and 23/14.
56
What is the common denominator of 1 - 1 - 9/(-12) and -37/8?
8
Let d(c) = 1092*c - 1. Let x be d(3). Suppose x = -4*a - 5*z, -8*z + 1615 = -2*a - 3*z. Let h = a - -3319/4. What is the common denominator of h and 101/22?
44
Suppose 2*u + 0*u = 8, -3*u = -a - 7. Let g(f) = -f**3 + 3*f**2 + f + 2. Calculate the common denominator of g(a) and 594/(-168) - (-1)/4.
7
Let i = -13 - -22. Let b(r) = 6*r + 1. Let v be b(1). Suppose l - 8 = -l - 3*k, -5*l + v = k. Calculate the lowest common multiple of i and l.
9
Suppose 32 = 5*s - 28. Let y = -2 + 6. What is the smallest common multiple of s and y?
12
Let x(r) = -2*r - 3. Let i be x(-7). What is the common denominator of 33/8 and (i/(-4) + 3)*-29?
8
Let j be 345500/176 + (-4)/(-22). Let p = j - 1973. Find the common denominator of p and 113/6.
12
Suppose -2*s - 2*q + 24 = 0, 5*s - 2*q = 4*s. What is the lowest common multiple of s and 4/(-10) + (-153)/(-45)?
24
Let b = 72 + -50. What is the least common multiple of 4 and b?
44
Let x be (6/7)/((-5)/(-35)). What is the common denominator of (-55)/(-14)*x/(-3) and -113/10?
70
Suppose m - 2 = 4. Let o(y) = y**2 - 5*y - 3. Let l = -22 - -28. What is the least common multiple of o(m) and l?
6
Let u(f) = -f**3 + 11*f**2 - 10*f + 1. Let b be u(9). Calculate the common denominator of 33/14 and (-2)/((-44)/b) + -2.
154
Suppose x - 3*s + 8*s + 20 = 0, 4*s = -16. Suppose x = 2*f + 70 - 22. Calculate the common denominator of 19/7 and 4/2*262/f.
42
Suppose z = 5*n - 149, -4*z + 94 = 3*n - 0*z. Calculate the lowest common multiple of n and 15.
30
Suppose -25*v = -19*v - 228. What is the smallest common multiple of v and 5?
190
Let w(r) = -r**2 - 5*r + 8. Let s be w(-6). Let i be s/(-8) - 4/(-16). Suppose -8 = -i*t - t. What is the least common multiple of t and 20?
40
Let w(c) be the second derivative of c**3/6 + 2*c**2 - 9*c. What is the least common multiple of 12 and w(6)?
60
Let b = 7 + -1. Suppose -10 = -3*m - 2*m. What is the lowest common multiple of 20/b*(-12)/(-4) and m?
10
Let c be ((-7)/((-14)/(-20)))/(-2). Let j be (9/4)/(c/60). Calculate the common denominator of -29/5 and (2 - 3)/(j/78).
45
Let x(t) be the second derivative of -t**4/12 - 11*t**3/6 - 6*t**2 + 3*t. Calculate the smallest common multiple of x(-9) and 4.
12
Suppose -b - 10*i + 36 = -5*i, -5*i = 3*b - 68. Calculate the smallest common multiple of b and 22.
176
Suppose 5 + 15 = d. What is the lowest common multiple of ((-40)/15)/(3/(-18)) and d?
80
Suppose 2*t = g + 40, -2*g - 6 = -5*t + 94. Suppose -4*z + 0*z = -64. Calculate the least common multiple of z and t.
80
Let p be 4845 + 3*(3 + -2). Let b = -38849/8 + p. Calculate the common denominator of -32/3 and b.
24
Let z = 7927 + -14402. Let g = z + 142423/22. Let f = 1673/96 + 7/96. What is the common denominator of g and f?
22
Let n(w) = -2 + 3 - 15*w**2 + 4*w + 16*w**2. Let z be n(-3). Find the common denominator of (z - -4)/(-24)*-182 and 109/14.
42
Let b(g) = g**3 - 4*g**2 + 2*g + 1. Let h be ((-6)/(-5))/(2/(-10)). Let u be b(h). What is the common denominator of (-2)/3 - u/(-21) and 13/8?
24
Suppose m - 11 + 3 = 0. Let g(n) = n**3 - 9*n**2 + 10*n - 10. Let l = 13 - 4. What is the least common multiple of l and g(m)?
18
Let m = 115/12 + -5/4. Let l = m - 5/6. What is the common denominator of l and 121/10?
10
Find the common denominator of 65/8 and (-5)/(-20) + (-57)/8.
8
Calculate the common denominator of (-2)/(-6)*(-672)/70 and -28/5.
5
Let j = -83 - -97. Calculate the least common multiple of j and 16.
112
Let h = -16272203/17150430 - -16/51971. Let l = h - 26/15. Calculate the common denominator of (0 + (-14)/(-8))*26 and l.
22
Let y = 44 - 34. What is the least common multiple of y and 10?
10
Let x(f) = f**2 + 10*f - 3. Let y be x(9). What is the least common multiple of (3 - 2)*y/7 and 6?
24
Suppose -5 - 7 = 2*n. Let p be (1 - 202/198)/n. Let s = p - 7823/594. Find the common denominator of -53/9 and s.
18
Suppose 3 = -4*y + y. Calculate the smallest common multiple of 1/((y + -2)/(-18)) and 5.
30
Let r = 103 - 70. Calculate the lowest common multiple of r and 3.
33
Let w = -1796 + 17883/10. Find the common denominator of w and ((-4)/(-14))/((-24)/(-1442)).
30
Let r = -33 - -47. Suppose -i - 4*b + 10 = 0, 2*b - 60 = -3*i + 5*b. What is the least common multiple of r and i?
126
Let m = 15 - 9. Suppose 5*c - 6*c = -6. Calculate the smallest common multiple of m and c.
6
Let c = -220 + 388. Suppose 3*b + 5*s = 126, -6*b = -2*b - 4*s - c. Suppose 5*o = -4*j + b, j - 5*o + 2 = -0*j. Calculate the least common multiple of j and 8.
8
Find the common denominator of 6/10 + (3807/(-60))/(-3) and 37/171.
684
Let i = 155/16 + -349/112. Find the common denominator of i and 186/(-4) + -2 + 2.
14
Suppose r = -r - y + 4, 3*r + 4*y - 1 = 0. What is the lowest common multiple of r and 30?
30
Let v(c) = -3*c - 24. What is the smallest common multiple of 24 and v(-20)?
72
Calculate the common denominator of (2/(-7))/((-148)/(-2405)) and 91/86.
602
Let q(k) = 2*k**2 + 2*k + 1. Let o be q(-2). Let u(x) = x**2 + 2*x - 6. What is the least common multiple of (-20)/(-1)*2/o and u(-6)?
72
Let v be 20/(-4) + 3 - -8. Let j(u) = 4*u - 4. Suppose 0*f + 2*f = 28. What is the lowest common multiple of j(v) and f?
140
Let q = 18 - 3. What is the smallest common multiple of 30 and q?
30
What is the common denominator of 73/10 and (-1*(-2)/(-36))/(6/(-603))?
60
Let j = 35835057/2042 - 17549. Let g be ((-22)/(-12252))/((-2)/18099). Let a = j + g. Find the common denominator of 73/9 and a.
36
Let d(m) = 31*m**2 + 1. Let p be d(-1). What is the common denominator of (-102)/p*10/(-3) and 55/12?
24
Let u = 3 - 2. What is the common denominator of -99/8 and (0 + u)/(32/(-172))?
8
Suppose 0*n - 33 = -4*w - 3*n, 0 = 3*w + 5*n - 11. Suppose 5*u - 20 = -0*u. Calculate the smallest common multiple of u and w.
12
Let n = -4681 + 46849/10. Let j be 1730/(-4) + 1 + 1. Let m = 419 + j. Calculate the common denominator of m and n.
10
Let f(u) = -5*u. Let n be f(-9). Suppose -6*s - n = -11*s. What is the least common multiple of s and 9?
9
Let c be (-6)/25*(-4)/(-18). Let t = c - -2783/150. Calculate the common denominator of t and 0/3 + 302/(-24).
12
Let q = -4378 + 7398. Suppose 0 = s - 0*c - 2*c - 770, 4*s - q = -4*c. Calculate the common denominator of s/18*(-3)/(-8) and 25/7.
42
Let k(a) be the third derivative of a**5/60 + a**4/12 - a**3/2 + 4*a**2. Let i be k(3). Find the common denominator of (102/16)/(15/i) and -77/20.
20
Let a(y) = -y**2 - y - 2 + 3*y**2 + 0*y + y**2. What is the smallest common multiple of a(2) and 5?
40
Suppose d - 2 + 0 = 0. Let j be 2/d*(-18)/(-6). Suppose -j*w + 36 = i, -i - 2*i = 0. What is the lowest common multiple of w and 12?
12
Let r = 44969 - 282523/6. Let b = -2124 - r. What is the common denominator of -39/10 and b?
30
Let m(v) = v**3 - 4*v**2 - 2*v + 1. Suppose 3*x - 22 = 5*f, 8 = 4*x + f + 3*f. Calculate the least common multiple of m(5) and x.
16
Let q be (2/24)/((-12)/34597216). Let d = q - -235697. Let p = d + 4557. Calculate the common denominator of -32/5 and p.
45
Let s = -2271063/8 + 11484013/40. Let p = s + -3223. Calculate the common denominator of 127/12 and p.
60
Let j = 217 + -196. What is the lowest common multiple of 11 and j?
231
Suppose 4*a - 37 = -9. Calculate the least common multiple of a and 4.
28
Let m = -7 + 5. Suppose -n + 24 = -4*c + 3*n, -4*c - n - 24 = 0. Calculate the common denominator of c/9 - 14/15 and m.