se 0 = -2*p + z*p - j + 1, 8 = 4*p + j. Calculate the lowest common multiple of 0 + p - (5 - 22) and 10.
90
Suppose -6 = i - 0*i. Calculate the least common multiple of 7 and -2 + 7 + 6/i.
28
What is the least common multiple of 6 and 1 + 63/(4 - 1)?
66
Let t be ((-2)/(-5))/((-301)/105). Let r = t + -1837/86. Find the common denominator of -25/14 and r.
14
Let z be ((-31)/(-10))/((-4)/5828). Let l = z + 4508. Let r = 2839/12 - 231. What is the common denominator of r and l?
60
Let v(t) = -t**2 - 6*t + 7. Let b be (-6)/27 - (-6)/27. Let p = -5 - b. Calculate the lowest common multiple of v(p) and 4.
12
Let c(s) = 6*s - 20. What is the smallest common multiple of 14 and c(8)?
28
Let w(r) = 2*r**2 - r. Let g be w(-1). Suppose 68 - 23 = -g*b. Find the common denominator of (b - -4)*(-22)/(-24) and 59/10.
60
Let n(d) = -d**2 - 15*d + 20. Calculate the least common multiple of n(-15) and 6.
60
Suppose -2 = -2*v + 3*v - 5*h, 4*v - 5*h + 8 = 0. Let w be (78/712)/((-3)/v). Let q = w - -4423/979. Find the common denominator of q and 65/22.
22
What is the common denominator of 29/39 and (4/18)/1 + (-516)/216?
78
Suppose -i = 3*r - 11, 3*r + 11 = 3*i + 2. Let g be (3 - 8/4) + 3. Let n = i - g. Calculate the least common multiple of n and 5.
5
Let o = 0 + 9. Calculate the smallest common multiple of o and 1.
9
Let b be 23/2 + (-2)/(-4). Let v be 8/b*(-42)/(-4). Find the common denominator of 8 and ((-5)/v)/(18/(-273)).
6
Suppose q = 2*q. Suppose 3*i = 2*c - 27, -5*c + q*i - i = -59. Calculate the least common multiple of c and 6.
12
Suppose 8*h - 5*h = 6. Suppose 5*i + 36 = -4*f, 0 = -h*f - 2*i + 4*i. What is the lowest common multiple of (10/f)/((-2)/4) and 10?
10
Suppose 0 = 4*k - 2*j - 12, -5*k - 2*j = -3*j - 21. Suppose o + m = -0*m + 8, 64 = k*o - m. What is the lowest common multiple of 18 and o?
36
Calculate the least common multiple of (3/(-6))/(1/(-20)) and 20.
20
Find the common denominator of 57/20 and (-10 + -19)*(-2)/(-16).
40
Suppose 0 = 3*r - 2*v - 25, 9*r - v = 5*r + 25. What is the smallest common multiple of 1*(5 - (-4 - -2)) and r?
35
What is the lowest common multiple of 15 and 1/4 + 380/(-32)*-2?
120
Let d = 201245/16 + -12582. Let p = -462/127 + 239811/254. Let k = -976 + p. What is the common denominator of d and k?
16
Suppose -3*f + 8*f - 40 = 0. What is the smallest common multiple of 20 and f?
40
Let a = 275/2 - 156. Let k = 10547/22 + -481. What is the common denominator of k and a?
22
Let d(m) = m + 9. Suppose -5*o = -44 - 1. Calculate the lowest common multiple of o and d(-7).
18
Calculate the common denominator of 37/4 and (3/6)/((-8)/(-71)).
16
Suppose 4*w + 42 = w - 3*g, -3*w + 2*g = 17. Calculate the common denominator of (5/(-6))/(w/84) and -52/3.
9
What is the common denominator of 97/30 and 6/(-12) + 556/168?
210
Let r = 6 - 8. What is the common denominator of 13/182*57*-1 and 41/r*(-1)/2?
28
Let z be 17 - 0*1/3. Suppose 2*k - z - 7 = 0. Calculate the least common multiple of 1 and k + 1 + -5 + 1.
9
Let s = -42 - -337/8. Calculate the common denominator of s and ((-176)/(-360))/(4/5).
72
Let z(c) = -c**2 - 14*c - 20. What is the lowest common multiple of 8 and z(-8)?
56
Calculate the common denominator of 25/2 and 51/12 + (-1)/3.
12
Let i(x) = x**3 + 2*x**2 - 6*x + 9. What is the smallest common multiple of 4 and i(3)?
36
Let y = 22 + -14. Calculate the lowest common multiple of 32 and y.
32
Let h be (-2052 - -4) + -4 + 2. Let d be 0 - (-100)/18*-370. Let y = d - h. What is the common denominator of y and -31/10?
90
Let z = -39749 + 1113513/28. Let a = -15171 + 105906/7. Let x = z + a. Calculate the common denominator of x and 13/20.
20
Let d = 2515 + -25089/10. Calculate the common denominator of d and 3*1 + 6*(-68)/56.
70
Let k = -43 + 55. Calculate the smallest common multiple of k and 6.
12
Suppose -132 = -t - 3*t + 3*y, -t - 3*y = -33. What is the least common multiple of t and 33?
33
Suppose h + 5 = 3*i - 4, 5*h = -4*i + 12. Calculate the least common multiple of i and 13.
39
Let w = -1989049 + 652408793/328. Let b be (-4)/(-6) - (-91)/(-123). Let m = w + b. What is the common denominator of -53/7 and m?
56
Suppose -z - 4*i - 37 = 2*z, 6 = 2*z - 5*i. Let j = z - -9. Calculate the lowest common multiple of 6 and j.
6
Suppose 2*y - 18 = -4*a, 0 = -2*a + 1 + 3. What is the least common multiple of 1 and y?
5
Suppose -2*c + 4 = -6. What is the common denominator of (-4)/10 - 193/55 and (102/(-8))/(c/(-2))?
110
Let p = -132 - -139. Calculate the lowest common multiple of p and (5 - 1)*1/2.
14
Suppose -3*r - 9 = -b, -4*b + 18 = 4*r - 7*r. Calculate the least common multiple of 41 and b.
123
Suppose 5*c = 5*f - 25, 6*f - 2*f - 8 = 0. Let z be ((-4)/6)/(2/c). Find the common denominator of z/((-1 - -3) + -1) and -12/5.
5
Let f(c) = -6*c**3 + c**2 - 1. Let q be f(-1). Let y be (-5 + q)*(1 - -1). Suppose -2*k + 26 + y = 0. What is the least common multiple of 2 and k?
14
Suppose -3 = -2*x + 3. What is the smallest common multiple of x and 4?
12
Suppose -4*w + 3 = s - 7, 3*s + 2 = 4*w. Suppose -s*g - 53 - 27 = 0. What is the common denominator of 83/18 and (g/28)/(8/(-26))?
126
Suppose -x - q - 1 = 1, 5*x + 3*q + 2 = 0. Let y(n) = 2*n - 5. Let h be -2 + 12 + (1 - 3). Calculate the smallest common multiple of y(h) and x.
22
Suppose 4*y + 2*n = 46 + 4, -y = 4*n - 23. Suppose -3*k + 14 = -1. What is the lowest common multiple of k and y?
55
Suppose 5*v = 24 - 4. Let g = 2 - -18. Calculate the lowest common multiple of v and g.
20
Let j(s) = -s**3 + 11*s**2 - 15*s + 12. Find the common denominator of -47/5 and j(10).
5
Let m(r) be the second derivative of -r**5/20 - 7*r**4/12 - 2*r**3/3 + 3*r**2 - r. Let k be m(-5). Calculate the common denominator of (2/k)/(4/712) and -11/2.
6
Suppose 0 = -v - 3*t + 6, -4*v - 3*t + 23 = -1. Let d(h) = h**2 - 7*h + 8. What is the lowest common multiple of 8 and d(v)?
8
What is the common denominator of 17/20 and (33/(-9))/(10/21)?
20
Let t = -186 + 206. Calculate the least common multiple of 8 and t.
40
Let m(w) = 8*w**2 + 5*w + 4. Let h(r) = -2*r**2 - r - 1. Let k(c) = -9*h(c) - 2*m(c). Calculate the smallest common multiple of k(-2) and 7.
77
Let o(l) = -l**3 - 4*l**2 + 6*l + 7. Let x be o(-5). Suppose 4*r = m + 4*m - 5, 2*m - x = -3*r. What is the lowest common multiple of m and 7?
7
Let a(g) = -g**3 + 7*g**2 - 5*g - 4. Suppose 2*b = -w + 28 + 23, 140 = 5*b + 5*w. Let y = b + -15. What is the lowest common multiple of y and a(6)?
8
Let y(j) = -44*j. Let f be y(7). Find the common denominator of 41/2 and 6/(-4)*f/60.
10
What is the common denominator of 9 and ((-10)/(-25))/(2/54)?
5
Calculate the smallest common multiple of (0 - -5)*((-24)/5)/(-3) and 1.
8
Let t = -7 - -1. Suppose 18 = 5*z - 5*u + 3, -5*u - 6 = 4*z. Calculate the smallest common multiple of t/6*(-6 + z) and 3.
15
What is the smallest common multiple of (-24)/(-4 - 0) - -2 and 4?
8
Calculate the common denominator of 41/4 and (-18)/(-63) - 278/(-154).
44
Let o = -101 - -269/3. What is the common denominator of -14/43 and o?
129
Let d = 20 + -9. Calculate the smallest common multiple of d and 6.
66
Let m = 494/15 + -445/12. Let n = -1716715/6 - -284914. Let l = n + 1185. Calculate the common denominator of m and l.
60
Suppose -2*u + 2*d + 16 = 0, u + 7 = 3*d + 23. What is the smallest common multiple of 22 and u?
44
Let v(b) = 4*b - 5. What is the least common multiple of v(4) and 7?
77
Suppose 0 = -0*t + 4*t + 92. Let v = 27 + t. Calculate the lowest common multiple of v and 6.
12
Suppose 3*d + 9 = 0, 0*h - d - 111 = 3*h. Find the common denominator of 13/22 and (2163/h)/(-7) + -1.
132
Let b(a) = a**3 - 2*a**2 - 5*a + 3. Let y be b(3). Let r = 9 + y. Calculate the smallest common multiple of 1*-1*r/(-2) and 4.
12
Let c(u) = 66*u + 3. Let j be c(-4). Let d = 2387/9 + j. Find the common denominator of -99/4 and d.
36
Suppose 0*c - 4*c = 0. Let m be 4/(-3)*(c + -45). What is the common denominator of (-4)/10 - (-359)/m and -5/18?
36
Let d(n) = 2*n - 1. Let q be d(3). Suppose 2*x + 2*b + 0*b = -6, 3*b + q = -x. Let i = x + 14. What is the least common multiple of 14 and i?
84
Let i be ((-9)/(-3) + 141)/1. Let w = i + -440/3. What is the common denominator of w and 57/4?
12
Let t be (3 - (-1 - -2))*2. Suppose 2*r = r + t. What 