 r(p) = -p**3 - p**2 + 2*p**2 - 5*p + 3*p**3 + 3*p. What is the smallest common multiple of r(2) and 22?
176
Let n(v) = -v**2 - 3*v + 4. Let z be n(5). Calculate the common denominator of (-1)/(-5)*1290/z and -70/3.
6
Let t = 8 + -4. Let n = -100 + 110. What is the lowest common multiple of t and n?
20
Suppose 0*g + 30 = -4*f - g, 2*f = 3*g - 22. Let i = f + 10. What is the lowest common multiple of 18 and i?
18
Let z = -29 - -57. Calculate the common denominator of 8/11 and z.
11
Let d = 280795/16 + -17556. Let b be (-11510)/(-17268) + (-4)/6. Let w = 79870/47487 + b. Calculate the common denominator of d and w.
176
Suppose -15 = -3*y + 5*i, 5*y - 40 = -i + 13. Find the common denominator of -101/20 and ((-159)/40)/((-12)/y).
80
Let a = 20753/10 - 2073. Let k(g) = 51*g**3 + 1. Find the common denominator of a and k(-1).
10
Let r = 12 + 2. Let d be -1*-1*(-2 + 23). Suppose -2*a + d = 5. Calculate the lowest common multiple of a and r.
56
Calculate the common denominator of 139/12 and 398/(-36) + (-4)/(-18).
12
Let q = -882/5 - -6731/40. Let x = 66427/18 - 3697. Calculate the common denominator of x and q.
72
Let u = 11/293 - 20459/6446. Calculate the common denominator of u and 31/10.
110
Let f = 24329020880432631 - 76344470440474018373/3138. Let d = -929788524 - f. Let c = -2/523 - d. Find the common denominator of -91/8 and c.
24
Let p = 62 + -809/12. Suppose 0*q + 3*q + 5*c = 4, 0 = -q + 2*c - 17. Calculate the common denominator of (-2)/q - (-7)/(-2) and p.
84
Let b = 283225/403899 + -10/4343. What is the common denominator of b and -49/2?
186
Let q = -8/73258833 - -1169528433295/33625804347. Let g = q - 594/17. Let i = 2215/162 - g. Calculate the common denominator of i and 95/6.
6
Let m(r) = 7*r - 3 + 1 + 3*r. Suppose -y - 2*z = z + 10, -20 = 5*z. Calculate the lowest common multiple of 22 and m(y).
198
Let r = -2496/5 - -495. Let n = -4171/668 + -1/167. What is the common denominator of r and n?
20
Let t(y) be the first derivative of -y**3/3 - 5*y**2/2 - 2*y + 2. Suppose -5*i + 5 = -15. What is the lowest common multiple of i and t(-4)?
4
Let g be (-2)/1895*3/6. Let u = g - 70111/7580. What is the common denominator of 50/7 and u?
28
Suppose -5*m = 0, 2*m + 29 + 99 = -4*n. Let c be (-1 + n/10)*-5. Suppose 7 = 2*l - c. Calculate the least common multiple of 8 and l.
56
Let t(b) = -7*b - 9. Let f(k) = 3*k + 4. Let h(s) = -9*f(s) - 4*t(s). Let l be h(-1). What is the least common multiple of 1 and 0 - -13 - (3 + l)?
11
Let v = -761 - -9013/12. What is the common denominator of (-2)/((-144)/(-676)) + 2 and v?
36
Let p = -119 - -125. Calculate the smallest common multiple of 70 and p.
210
Suppose -4*p = 2*i + 148, 4*i - p + 158 = -120. Calculate the common denominator of (-5)/25 + 156/i and (8/(-7))/2*-6.
7
Let b = -10 - -14. Find the common denominator of (-114)/b*4/(-16) and -13.
8
Suppose 2*p - 4*p = -24. Calculate the least common multiple of p and 33.
132
Let d be (9/(-78462))/((-10)/8). Let l = d - 2462863/305130. What is the common denominator of l and -25/18?
126
What is the lowest common multiple of 15/(-20) - 76/(-16) and 7?
28
Let x(t) = -5*t - 54. Calculate the smallest common multiple of x(-11) and 12.
12
What is the common denominator of (-238)/49 - (-2)/4 and -157/30?
210
Let q = 21 + -10. Suppose q = -z + 27. Calculate the smallest common multiple of z and 4.
16
Let m = -99/10 - 117/20. What is the common denominator of m and 107/12 + (2 - 1)?
12
Suppose -w + 2*w - 2 = 0. Let v(o) = 1 + w - 2 + 1 - 2*o. Calculate the lowest common multiple of 4 and v(-6).
28
Suppose -7*j - 7 = -35. What is the least common multiple of 8 and j?
8
Let x(r) = -300*r**3 - 5*r**2 + 3*r - 1. Let w be x(-4). Let t = w + -420427/22. Find the common denominator of t and (-17)/(-2) + (1 - 0).
22
Let q be 4/6 + 2/(-3). Suppose q = -z - 1 + 7. What is the lowest common multiple of z and 6?
6
Let h(t) = 3*t. Let p be h(-1). Let v be ((-166)/(-66))/(p/(-54)). Let q = -3709/88 + v. Calculate the common denominator of q and 22/3.
24
Suppose 2*x + 3 = 11. Suppose x*m - 59 = u, -5*m + 3*u + 76 = 11. Let n = m + -11. What is the lowest common multiple of 9 and n?
45
Let t = 11/420 + 1399/420. Let v = -12 + 5. What is the common denominator of t and (v/2)/(70/(-77))?
140
Let a = 33 + 17. Suppose 0 = 3*v - 8*v + a. What is the lowest common multiple of v and 4?
20
Suppose 5*x - 108 = -x. Calculate the least common multiple of 14 and x.
126
Suppose -2*r = -4*r + 28. Suppose -13 = -2*y - 3. Suppose 3*t - 5*t - 64 = -5*m, 66 = y*m - 3*t. Calculate the least common multiple of r and m.
84
Let o = -2/5573 + 105923/100314. Let q be 27/5*(-421 + 0). Let b = q + 181447/80. What is the common denominator of o and b?
144
Suppose 1 - 2 = o. Let x be (0 - o - 1)/2. What is the smallest common multiple of (3 - (x - 2)) + 0 and 11?
55
Suppose 17*y = 12*y + 5. Let p be -2 + 2 - (-1 + 1). Suppose 0*a - 3*b - 11 = -a, 2*a + 4*b + 8 = p. What is the lowest common multiple of y and a?
2
Let j(g) = -113*g - 7. Let b be j(-8). Let f = 4508/5 - b. Calculate the common denominator of f and 25/4.
20
Let s = -7885/4 - -86853/44. Find the common denominator of s and 43/74.
814
Let j be 34*(255/468)/5. Let n = j - -19/13. Find the common denominator of -32/9 and n.
18
Let w = -2063/6 + 363. What is the common denominator of -44/3 and w?
6
Suppose -2*o = -2*c + 90, 3*c - 93 - 12 = -3*o. Calculate the smallest common multiple of 16 and c.
80
Suppose -c = -x - 3*c - 5, 11 = 5*x + c. Let m(i) = 3*i**2 + 2*i. What is the common denominator of -56/9 and m(x)?
9
Suppose 2*u = -9 + 25. Let o(w) be the first derivative of w**4/4 + 2*w**3 - w**2 - 9*w + 4. What is the least common multiple of u and o(-6)?
24
Suppose 3627 + 1656 = 3*y. Let v = 3449/2 - y. What is the common denominator of v and -49/8?
8
Suppose 3*r - 164 = -4*m, -4*m = -5*r - 0*m + 284. What is the lowest common multiple of r and 44?
616
Calculate the smallest common multiple of 2 + -1 - (-24 - 1) and 6.
78
Calculate the common denominator of -1 + 2 - (-8)/(672/(-435)) and -91/24.
168
Suppose 6*r - 2*g - 106 = r, 0 = 2*r + g - 37. What is the lowest common multiple of r and 16?
80
Suppose 3*b - 24 = -5*z - 100, 0 = -2*b - z - 60. Calculate the common denominator of 6/b*120/(-4) and 89/12.
24
Suppose -21 = -2*d + 5*a, 4*d - a = 3*d + 9. Suppose y - d = -y. Calculate the smallest common multiple of 6 and y.
12
Suppose 150 - 60 = 5*d. Suppose 5*t + 6 = 66. Calculate the least common multiple of t and d.
36
Let u(c) = -4*c + 2. Let g be (7 + 2)*(0 + 3). Let a = g - 13. Calculate the lowest common multiple of u(-2) and a.
70
Let i = 48 + -28. Find the common denominator of 9/4 and i/(-75)*(-25)/(-2).
12
Let i = -2653 + 26497/10. Calculate the common denominator of i and -67/16.
80
Calculate the least common multiple of 22 and ((-60)/9)/(2/(-6)).
220
Let n(h) = 2*h**3 - 5*h**2 - 3*h. Let g be n(-3). Calculate the common denominator of ((-122)/(-80))/((-2)/(-8)) and (-671)/g - (-2)/(-5).
90
Let l be -4 + 0 - -2 - -5. Suppose -l*y = -2*g + 26, 0*g - y = 2*g - 18. Calculate the lowest common multiple of 20 and g.
20
Let m = -791 + 15843/20. Suppose 5*n = 3*g + 30, n + n = 2*g + 12. Calculate the common denominator of (452/n)/(12/(-1)) and m.
180
Find the common denominator of -7/2 and -158*((-6)/16 + (-13)/(-26)).
4
Let d = -9 + 22. Suppose -d = -5*h - 3. Suppose 0*v + v - h = 0. Calculate the smallest common multiple of 16 and v.
16
Suppose -5*m + 2*y + 45 = 0, -2*m + 2*y + 7 + 5 = 0. Let c = -1 - -6. What is the smallest common multiple of c and m?
55
Let i(z) = -3*z - 3. Let m be i(-12). Suppose -3*a - m = -6*a. Calculate the lowest common multiple of 12 and a.
132
Let t = -1226 - -4931/4. Find the common denominator of (1/5)/(36/(-310)) and t.
36
Let v be 1/6 - (-274862)/132. Let a = v - 2080. Calculate the common denominator of 1/10*(-1010)/(-8) and a.
88
Suppose 5*z + 5*q + 5 + 0 = 0, 2 = -2*q. Suppose 0 = -3*u - z*u. Suppose u = 6*b - b - 55. What is the least common multiple of b and 1?
11
Suppose -3*f - 135 = -12*f. What is the least common multiple of 15 and f?
15
Suppose 0 = -3*q + 4*n - 4, n - 4 = 2*q - 3*n. Suppose j - 111 - 25 = -l, q = 4*j. What is the lowest common multiple of 16 and 10/25 + l/10?
112
Let p = 13 + -23. Le