.
4
Suppose 2*n + 100 = 7*n. Let q(z) = -z**3 - 7*z**2 + 7*z - 8. Let y be q(-8). Suppose y = -7*h + 2*h + n. What is the smallest common multiple of h and 16?
16
Let g = 27 - 19. Suppose 0 + 36 = 3*o. What is the least common multiple of g and o?
24
Suppose -2*d = 3 - 15. Calculate the lowest common multiple of 10 and d.
30
Let f = -8890/9 - -986. Calculate the common denominator of f and (4 + 22)*(-1)/12 - 0.
18
What is the least common multiple of 1 and 2/4 + (-11)/(-2)?
6
Let l(q) = -41*q + 1. Let v be l(1). What is the common denominator of 468/v + (-2)/5 and 101/22?
110
Let g(f) = f - 1. Suppose -24*y + 16 = -23*y. What is the lowest common multiple of g(5) and y?
16
Let d(c) = -c**2 - 7*c - 6. Let h be d(-7). What is the common denominator of (-4)/h*(-57)/(-8) and -2 + 3/30 - -2?
20
Suppose 0*w - 5*w = -50. Let c = 30 - w. Calculate the lowest common multiple of 10 and c.
20
Suppose -4*l = -2*x + 56, 5*x - l - 63 = 41. Let s(c) = -4*c - 6. Calculate the lowest common multiple of x and s(-5).
140
Let p = 118 - 106. What is the smallest common multiple of 2 and p?
12
Suppose 2*t + o + 0*o = 1, 5*o - 5 = 2*t. Suppose 0 = -t*f - 5*f + 185. Find the common denominator of -71/4 and (2/(-16))/(2/f).
16
Let x = 97223/4496 - 35391301/2657136. Let m = x - -22/197. Let v = -111 - -1501/14. Calculate the common denominator of v and m.
84
Let x be ((-2)/54)/((-8)/(-1074)). Let c = 19/18 + x. Calculate the common denominator of 51/20 and c.
60
Let z = -73 + 109. Calculate the smallest common multiple of z and 16.
144
Let n = 3 + -2. Suppose 10*b - 7*b - 12 = 0. Suppose 2*j + 2*u - 18 = u, b*u - 16 = 0. Calculate the least common multiple of j and n.
7
Let r = 387 + -1565/4. What is the common denominator of (-1 - 1466/(-84)) + (-14)/49 and r?
12
Suppose 6*a + 50 = 11*a. What is the least common multiple of a and 9?
90
Let j = 34 + -18. Suppose 0 = 4*y - 5*p - 58, -3*y + 4*p - 52 = -8*y. What is the smallest common multiple of j and y?
48
Let i(o) = o**2 - 2. Let g be -23 + (0 - (-3 + 2)). Let y be 6/33 + (-40)/g. What is the lowest common multiple of i(y) and 6?
6
Calculate the common denominator of 131/30 and (-2320)/(-32)*(-3)/(-50).
60
Let u(q) = q**2 + 11*q - 1. Let o be u(-11). Let r be 3/o - (0 + -7). What is the common denominator of r/(-10) + (-21)/(-4) and 51/14?
140
Find the common denominator of 87/26 and 5/(-18)*1 - (-3 + 0).
234
Suppose 3*q - 5*j = 41, -q + 5 + 8 = -j. Calculate the smallest common multiple of (-2)/(-6) - 385/(-33) and q.
12
Let f = -1289 - -10371/8. Find the common denominator of f and -35/16.
16
Suppose -6 = -5*q + 4*t + 41, -3*t - 44 = -5*q. Calculate the smallest common multiple of 2 and q.
14
Let h(m) = 2*m**2 + 2*m. Let g be h(3). Let v = 13 + -9. Calculate the smallest common multiple of v and (-7)/(-35) - g/(-5).
20
Let l be 0/(-2)*(-3)/(-6). Suppose -k = 5*d - 16, 3*d - 4 - 5 = l. Let g(h) = 5*h**3 - 2*h**2 + 2*h - 1. Calculate the lowest common multiple of g(k) and 7.
28
Calculate the common denominator of ((-30)/(-120))/((-1)/(-162)) and -143/6.
6
Let k be ((-155)/24380)/(4395/(-23208154)). Let r = k + 21/77645. Let h = 500/23 - r. Calculate the common denominator of 125/6 and h.
6
Let x = 2594 + -15515/6. Find the common denominator of x and -43/7.
42
Let x(h) = 22*h**3 + 5*h**2 + 7*h - 6. Let o(d) = 23*d**3 + 6*d**2 + 8*d - 7. Let k(c) = -5*o(c) + 6*x(c). What is the smallest common multiple of k(1) and 22?
198
Suppose 30 = q + 2*q. What is the least common multiple of 2 and q?
10
Suppose -2*t + 5*d = -41, -t + 47 = 3*t - 3*d. Let p be (-245)/4 + 2/t. Calculate the common denominator of 83/12 and 3/12 - p/(-28).
84
Let i be (4 - 1) + (-24)/8. Let v be (0 + i/3)/2. Suppose v = 5*a + 3*b - 116, -a + 8*b = 4*b - 14. What is the lowest common multiple of 16 and a?
176
Let q(c) = -c + 9. Let k be q(7). Let g be -2 - (-1 + k + 8). Calculate the smallest common multiple of 2/g + 272/44 and 2.
6
Let l be ((-36)/15)/((-2)/(-20)). Calculate the common denominator of 3/(-9) - (-20)/l and 4/6 + (-59)/(-18).
18
Suppose -6*v + 109 = -11. What is the smallest common multiple of v and 35?
140
Suppose b + 1 = 0, 3*i + 0*b - b = 49. Suppose 5*f + 8 + 12 = 0, 2*j - 44 = 5*f. Calculate the smallest common multiple of i and j.
48
Suppose 2*a = 3*a - 5. Suppose 4*y = -q - 35, -2*y - a*q = -4 - 1. Let s = -4/17 - 99/85. What is the common denominator of s and y?
5
Let i = 117 - 110. What is the lowest common multiple of 5 and i?
35
Let j(k) = -k + 7. Suppose 4*c - 5*c = -10. What is the smallest common multiple of j(0) and c?
70
Suppose 0*y - 2*y + 180 = -3*o, 0 = 4*y + 5*o - 360. What is the least common multiple of -1*5*y/(-75) and 12?
12
Let u be (-36)/(-14) + 27/63. Find the common denominator of 47/6 and (60/88 - 3) + u.
66
Let a = -22623/8 + 2840. Calculate the common denominator of a and 41/3.
24
Suppose -47 = -4*i - 3*u + 2*u, 0 = -2*i - 2*u + 22. What is the lowest common multiple of i and ((-28)/(-10))/((-2)/(-10))?
84
Find the common denominator of (-6)/(-4)*21/10 and 3 - (-206)/(-8) - 1.
20
Suppose g - j + 50 = 4*g, -2*j + 84 = 5*g. Suppose -3 = -5*i + 7. Suppose 3*d - 7*d + 65 = 5*z, 0 = d + i*z - 20. What is the least common multiple of d and g?
80
Let d = -201737/24 + 8403. Find the common denominator of 35/16 and d.
48
Let c = 29 - 11. Let m(z) = 2*z**2 + 8*z + 4. Let p be m(-5). Calculate the least common multiple of 4/p - (-110)/7 and c.
144
Calculate the common denominator of (380/(-18))/(32/24) and -56/5.
30
Let k = 22 + 14. Let f = k + -18. What is the smallest common multiple of 22 and f?
198
Let x = -5 + 8. Suppose t = 2*l + 22, -x*t + 3*l + 2*l + 64 = 0. What is the least common multiple of 22 and t?
198
Suppose -3*z - s - 6 = 2*z, -3*z + 4*s = 22. Let l = 39 + -23. Calculate the least common multiple of ((-3)/z + 0)*12 and l.
144
Let f = 1815/8 - 228. Let h be (-6616)/16*(-1 - -2). Let x = h + 428. Calculate the common denominator of f and x.
8
Let r = -1082 - -7557/7. Let z(b) be the second derivative of -b**5/20 + 3*b**4/4 + 4*b**3/3 - 5*b**2 - 2*b. Calculate the common denominator of r and z(10).
7
Let w(t) be the third derivative of t**6/120 - t**4/12 - t**3/6 - t**2. Let d be w(-2). Calculate the least common multiple of ((-9)/d - 1)*5 and 6.
12
Suppose -5*y + 4*y = -4*u + 4, 0 = 5*u - 4*y - 16. Suppose 0*m + m - 2 = u. Calculate the least common multiple of m and (-210)/(-27) - (-2)/9.
8
Suppose -4*i - 37 = 3*m, 5*i + 23 = -m - 4. Find the common denominator of 13/6 and (-1)/2 - m/16.
48
Let w = 14 - -6. What is the least common multiple of w and 18?
180
Let c(x) = -x**2 - 5*x. Let i be c(-5). Suppose i*o + 2*o = 10. What is the smallest common multiple of 3 and o?
15
Let p = -304/17 + 15013/850. Calculate the common denominator of p and 70/9.
450
Let i = 35839137/178 + -201350. Let k = i + 3/89. Calculate the common denominator of k and -20/3.
6
Suppose 1 = 4*n + 5*r, -n - 2*r = 2*n - 6. Suppose 5*x = 5*v - 65, 0 = 5*v - x + n*x - 25. Calculate the least common multiple of v and (-49)/(-5) + (-3)/(-15).
40
Let m = 9 + 0. What is the lowest common multiple of (-8)/28 + (-32)/(-14) and m?
18
Let j(t) = t**3 - 7*t**2 - 8*t - 6. Let l be j(8). Find the common denominator of (153/l)/(7/2) and -33/8.
56
Let q = 1/6067 - 236623/60670. What is the common denominator of -137/12 and q?
60
Suppose 3*q - 4*q = -8. Calculate the lowest common multiple of 6 and q.
24
Let x be 5/(-3)*(-4 - -7). Calculate the common denominator of (-215)/x*(-2)/4 and -75/8.
8
Let w be (-2)/7 + 13731/(-693). Let l = -286/7 - w. Let q = -10/11 + l. Calculate the common denominator of q and 17/5.
15
Let j = 15377 - 307607/20. Calculate the common denominator of 41/50 and j.
100
Suppose -k = -3, 0*k - 9 = b - 2*k. Let i = b - -13. Calculate the lowest common multiple of i and 6.
30
Let j(d) = d**3 - 6*d**2 - 5*d - 4. Suppose -42 = n - 5*n - 2*t, -5*n - 2*t = -53. Calculate the least common multiple of j(7) and n.
110
What is the common denominator of ((-7)/(-16))/(1/(-9)) and -133/6?
48
Let l = 171523/20 + -8572. Let o be (-1393)/36 - 3/4. Let b = 7757/180 + o. What is the common denominator of b and l?
20
Let u = -95558680375 + 4807748326718823/50312. Let n = u + 2/6289. What is the common denominator of -23/16 and n?
16
Suppose 