
4
Find the common denominator of 7/10 and 1/7*309/6.
70
Suppose -5*v - 10 = -70. Find the common denominator of ((-846)/120)/(v/(-5)) and -73/2.
16
Let w = 562 - 2843/5. What is the common denominator of -56/11 and w?
55
Let q(l) = -l**3 - 4*l**2 + 2. Let a be q(-6). Let r = 48 - a. What is the common denominator of -14/9 and r?
9
Calculate the lowest common multiple of 22 and (-174)/(-9) - (-2)/3.
220
Let q(k) = 4*k - 1. Let n be q(3). Let t = n + -7. Suppose 0 = 2*h - 18 + 6. Calculate the least common multiple of t and h.
12
Let s(i) = i**3 + 10*i**2 - i - 11. Let d be s(-10). Let x be d/2 - (-2)/4. Let c(y) = y**3 - y**2 + y + 3. Calculate the least common multiple of c(x) and 10.
30
Let k be 8/(-12) - (-494)/3. Let r = 829/5 - k. Find the common denominator of r and 61/6.
30
Suppose -s - 630 = s. Calculate the common denominator of -1/12 and s/198 - (-2)/(-1).
132
Suppose 3*d - 14 = 40. Let q = d - -2. Suppose -4*x - 26 = -4*m - 2*x, m = -x + 5. What is the smallest common multiple of q and m?
60
Calculate the least common multiple of (-2)/(-15) - (1 - 613/15) and 14.
280
Let v = -57/92 + -763/736. Find the common denominator of -21/4 and v.
32
Let u(l) = -l**3 + l. Let x be u(0). Suppose q = -n + 11, x = -3*n + q + q + 43. What is the smallest common multiple of n and 4?
52
Suppose 0 = -2*y + 2*j - 4, -j + 2 = 3. Let u(w) = -w**3 - 2*w**2 - w + 2. Calculate the smallest common multiple of 14 and u(y).
14
Let a be (-3)/4 - 436/108. Let r = a - -91/27. Calculate the common denominator of r and 139/6.
12
Let l be (1 - 3) + (-15)/(-3). Suppose -40 = -u - l*u. Let b(h) = -h**3 + 3*h**2 + h - 2. What is the smallest common multiple of b(2) and u?
20
Let n be ((-9)/27)/(2/6). What is the smallest common multiple of 3 and -2*n*6 - 1?
33
Suppose -14*p = -483 - 413. Calculate the least common multiple of p and 4.
64
Let i = 15 - -5. Suppose 3*o = 5*r + 70, 0*o = -4*o + 5*r + 90. Calculate the smallest common multiple of o and i.
20
Calculate the common denominator of 59/6 and 301/10 + 18/45.
6
Suppose 2*h - 3 - 9 = 0. Let f be 6/2*2/6. Suppose 2*l - f = 11. Calculate the lowest common multiple of l and h.
6
Suppose -2*r + 3*r - b = 7, 0 = -2*r - 4*b - 4. What is the smallest common multiple of 6 and r?
12
Let m(w) = w**2 - 14*w - 22. What is the smallest common multiple of 10 and m(16)?
10
Let g(q) = q + 13. Let u be g(-9). Suppose 21 = u*i - 19. What is the least common multiple of i and 18?
90
Suppose -2*l = -2*u + u + 24, -3*u = 4*l - 42. Let n = u + -9. What is the smallest common multiple of n and 10?
90
Let o be 14/(-63) - 65/(-9). Let f = o + 3. What is the lowest common multiple of 7 and f?
70
Calculate the common denominator of (2/((-2)/(-49)))/3 and ((-4)/6)/(-2) - 170/(-21).
21
Let j = 158513/56 - 11319/4. Find the common denominator of -35/4 and j.
56
Let d(q) be the third derivative of 5*q**4/24 - q**3/6 + q**2. Calculate the smallest common multiple of d(2) and -7*(54/21 + -4).
90
Let r = -10 - -14. Calculate the lowest common multiple of 3/r + (-27)/(-12) and 6.
6
Let d(y) = 2*y + 16. What is the least common multiple of 18 and d(0)?
144
Let b = 1078 + -6421/6. Calculate the common denominator of b and 77/2.
6
Let m be 369/36 - 2/8. Let y = 26 - m. Calculate the lowest common multiple of y and 12.
48
Suppose t + 1 = 11. What is the smallest common multiple of 2 and t?
10
What is the common denominator of 115/64*(-108)/(-90) and -43/4?
32
Suppose 0*k = -3*k - 30. What is the common denominator of 4/k - (-11)/(-2) and 3/6*144/14?
70
What is the smallest common multiple of 16 and (-4)/(3/(81/(-6)))?
144
Suppose 5*k = 2*g + 2*k, -3*k + 12 = 0. Let m = 28 - 19. What is the least common multiple of 2 and m/(-1)*g/(-6)?
18
Let h = 58 - 53. Calculate the lowest common multiple of 1 and h.
5
Let a be 3*14*2/(-6). What is the common denominator of 33/7 and (a/32)/((-6)/12)?
56
Let r(h) = -h**2 + 10*h - 10. Suppose t = -t - y + 8, -14 = -5*t - 4*y. Calculate the lowest common multiple of r(7) and t.
66
Let u(h) = -4*h + 11. Let n be u(5). Find the common denominator of 97/14 and (-2)/12 + (-105)/n.
14
Suppose 0 = 5*g - 58 - 47. Calculate the smallest common multiple of 24 and g.
168
Let u = 709 + -3518/5. Let o = -5679/158 + -44/79. What is the common denominator of o and u?
10
Suppose -19*u = -15*u - 32. Let p = 18 + -8. What is the common denominator of -103/12 and ((-2)/u)/(p/78)?
60
Let g = -2305 - -25406/11. What is the common denominator of 3/11 and g?
11
Let k be 4/(-14) + (-204)/(-28). Suppose g - 1 + 5 = 0. Let f = k + g. Calculate the least common multiple of f and 7.
21
Let o(f) = -f**2 - 24*f - 12. Calculate the least common multiple of 8 and o(-23).
88
Let b = -3794 + -3123. Let z = 83093/12 + b. What is the common denominator of z and 13/14?
84
Let o = 373271/83798 - -1/7618. What is the common denominator of -47/6 and o?
66
Let q = -758 - -4565/6. What is the common denominator of q and 79/12?
12
Let z(o) = -o**3 + 7*o**2 + 10. Let t be -2 - (-2 + -1 + 1). What is the lowest common multiple of z(7) and -1*(2 - (6 + t))?
20
Let q(x) = x**3 - 10*x**2 + 11*x - 6. Calculate the least common multiple of q(9) and 3.
12
Let p = 70 - 62. Let v(q) = -6*q - 1. Let r be v(-1). Suppose -4*x + 4*u + 12 = 0, 3*u + 7 = r*x - 6. Calculate the lowest common multiple of x and p.
8
Suppose -60 = 4*p - 9*p. Calculate the smallest common multiple of 16 and p.
48
Let m(s) = -s**3 - 3*s**2 - s + 4. Let l = 3 + -6. Calculate the smallest common multiple of m(l) and 10.
70
Let d(u) = u**2 - u - 4. Let k be d(3). Suppose 16 = k*g + 442. Let a = g - -1663/8. What is the common denominator of 27/10 and a?
40
Let h be -4 - -4 - 4/1. Let n = 4 + h. Find the common denominator of (-91)/4 - (-1 + n) and 119/10.
20
Let t = -4 - -7. Let c(o) = -o**2 + 3*o + 3. Let l be c(t). Suppose 0*p = l*p - 12. What is the least common multiple of p and 8?
8
What is the common denominator of (147/(-75) - 3)*(-10)/(-4) and (37/3)/((-10)/6)?
5
Suppose 2 = b - 7. Let k = -12 + 23. What is the smallest common multiple of b and k?
99
Suppose 3*r - 96 = -n - 3*n, 59 = 2*r + n. Calculate the lowest common multiple of (r/(-12))/((-3)/9) and 19.
133
Let r = -2/103 + -15335/618. Suppose -3 = -3*s - 0. What is the common denominator of 1/s - (-141)/(-21) and r?
42
Suppose 0*u + 4*u + 5*r = 1, -3*u = 3*r - 3. Find the common denominator of 35/9 and (2/u)/(2/102).
18
Let j be 6/(-15) - (-4)/10. Suppose j = 2*r - 4. Let v(q) = -q**3 - 6*q**2 + 6. Calculate the lowest common multiple of v(-6) and r.
6
Let j = 3 - 0. Let p be (j - 4) + -4 - -3. Calculate the lowest common multiple of 14 and p/4 + 125/10.
84
Let u = -9619/9 + 1061. Suppose -2*p + 12 = -4*p. Find the common denominator of u and (p/(-4))/((-36)/560).
9
Let f be ((-12)/10)/((-3)/10). Suppose 4*r = z - 21, 0*z = -z - r - f. What is the common denominator of -47/16 and (z/32)/(3/594)?
16
Suppose -2*x + 80 = 3*x. What is the smallest common multiple of 10 and x?
80
Let t = 28632907/16 + -1788998. Let r = -558 + t. What is the common denominator of r and -85/4?
16
Suppose -3*n + 5*v + 58 = 0, 0*n - v - 62 = -3*n. Calculate the least common multiple of 27 and n.
189
Let m be (1/(-2))/(2/(-8)). Suppose -m*f = 5 - 45. Calculate the smallest common multiple of 21/(-2)*12/(-7) and f.
180
Let p(n) = -n + 5. Let j be p(5). Suppose j = 2*o + 3*k + 571, 0 = -2*o - 2*k + 3*k - 559. What is the common denominator of 25/18 and o/20 + (-2)/10?
36
Suppose -57 = -3*v - 3. Calculate the smallest common multiple of v and 33.
198
Let l = 16783/8 + -2101. What is the common denominator of 148/(-24)*((-2)/(-8) + -1) and l?
8
Suppose 5*h - 6 = 2*h. Suppose -3*x + 5*v + 15 = x, 2*x - 4*v = 0. What is the lowest common multiple of x and h?
10
Let g = -2/3241 - 275461/38892. Calculate the common denominator of g and -45/16.
48
Let s = 2 - 4. What is the common denominator of 21/16 + (s - -3) and 15/8*60/50?
16
Suppose 4*f - r = 34, -5*f + 2*f + 4*r + 32 = 0. Calculate the common denominator of 217/(-12) + 2/f and 883/36 + 8/36.
12
Suppose 0 = -2*m + 4*s + 194, -s = -2*m - 4*s + 166. What is the common denominator of m/(-42) + (-4)/(-12) and 9/2?
14
Suppose -v = -5*v + 36. What is the least common multiple of v and 25?
225
Suppose -2*r - 2*r = -h - 2