+ 13*s**2 + s + 3. Let h be p(-12). Calculate the least common multiple of 4/(-6)*h/(-5) and 6.
18
Let v = 19 + -2. Suppose -5*a + v + 23 = 0. Let o(m) = m - 4. What is the lowest common multiple of o(a) and 11?
44
Let q be -6*1*(-4)/(-6). Let s = -2 - q. Suppose 0 = -5*i + 2*i - s*f + 30, 3*f = 0. Calculate the smallest common multiple of 18 and i.
90
Let w = -11 + 17. Suppose -4*h - 5*n = -54 - w, 3*h - 4*n - 14 = 0. What is the least common multiple of h and 1?
10
Let w = 2/7967 - 501965/175274. Calculate the common denominator of w and -11/694.
7634
Let r(h) = -11*h + 199. What is the least common multiple of 144 and r(17)?
144
Let c = -2834 + 102005/36. Let f = 587 + -6460/11. Find the common denominator of c and f.
396
Let q = -461 + 824. Calculate the lowest common multiple of 21 and q.
2541
Let x = 3037/2 - 1491. What is the common denominator of (1272/336)/((-14)/49) and x?
4
Suppose -5*h + 35 = -5*b, 5*h - 61*b - 41 = -58*b. Calculate the least common multiple of 22 and h.
110
Suppose 3*j - 6*j = -63. Let a = -9 + j. Calculate the smallest common multiple of a and 8.
24
Suppose 3*r = -2*i + 6, 2*i + r - 10 = -r. Suppose 8*t - i*t = -10. Calculate the smallest common multiple of 2 and t.
10
Suppose 10*c = 33 + 267. Calculate the lowest common multiple of c and 60.
60
Suppose 0 = -4*a + 20, -4*t - 9*a + 4*a = -33. Suppose -t*v + 2 = -4. Calculate the smallest common multiple of 1 and v.
3
Let f = 5231/18 - 573/2. Calculate the common denominator of 15/6*54/40 and f.
72
Suppose -4*f + 8*f = 5*b + 18, 5*f + 4*b = 2. Calculate the least common multiple of -1*-1*f/2 and (-1 + 3)/((-8)/(-36)).
9
Calculate the common denominator of -25/24 and (3/(-36))/((-255)/1088).
360
Let w = 2368/3 + -773. What is the common denominator of (129/(-9))/(-1 - -3) and w?
6
Let h(u) = -u**3 + 6*u**2 + 2*u - 13. What is the lowest common multiple of 14 and h(5)?
154
Let k = 9879/1162 - 178/83. Find the common denominator of ((-42)/(-126))/(2/71) and k.
42
Let c(j) = 0 + j**3 - 6*j + 2 + 4*j**2 - 6. Let z(t) = -t**3 + 21*t**2 - 39*t + 20. Calculate the lowest common multiple of c(-5) and z(19).
1
Suppose -75 - 6 = -3*f. Suppose 5*t + 2 = f. Suppose 5*r - 160 = t*j, 3*r + 2*j = 87 + 9. Calculate the lowest common multiple of 4 and r.
32
Let s = -100065/572 - -1944/11. Find the common denominator of s and 67/6.
156
Let u = 29397/7490 + 2/535. Find the common denominator of u and 2/4 + (-100)/42.
42
Let x(b) = -9*b**3 - b**2 + 1. Let a be x(-1). Suppose -a = 2*f - 3*f. Suppose -p - m = 4*m + 17, 4*m + 1 = -5*p. What is the least common multiple of f and p?
9
Let j(u) = -3*u + 30. Let v be j(12). Calculate the common denominator of 17/4 and (-363)/v*(-5)/25.
20
Let q(b) = 8*b + 46. Let i(z) = 2*z**2 + 15*z + 2. Let c be i(-7). Calculate the lowest common multiple of 6 and q(c).
6
Let r = -1007 + 1097. What is the least common multiple of 90 and r?
90
Let r(j) be the first derivative of -j**3/3 - 2*j**2 + 4*j + 3. Let s be r(4). What is the lowest common multiple of 5 + -3 - s/2 and 6?
48
Let p = 2061749/6 + -345068. Let t = p + 5821/4. What is the common denominator of 5/((-1)/(-5)*22) and t?
132
Suppose 12*d - 7*d + 24510 = 0. Let b = -2998 - d. Let z = b - 20994/11. Calculate the common denominator of z and -73/3.
33
Let p = -2851 - -34231/12. Find the common denominator of 79/18 and p.
36
What is the common denominator of -123/140 and (9 - (-5650)/(-420)) + 7?
420
Suppose -11*t + 9*t = -22. Suppose 5*s = -4*o + 395, -9*s + t*s - 171 = o. Calculate the lowest common multiple of 7 and s.
581
Let s = -1916 - -21102/11. Let d = -48 + 51. What is the common denominator of d/(36/8) + (-238)/24 and s?
44
What is the common denominator of (2/64)/(51/(-3196)) and 71/87?
696
Let t = 108/89 - -97697/534. Let j = t - 1706/9. What is the common denominator of ((-15)/80)/(18/(-920)) and j?
36
Let d = -1223 - -12259/10. Find the common denominator of -10/219 and d.
2190
Let i = 2 - -1. What is the lowest common multiple of 36 and (-24)/(-30)*5*(-1 + i)?
72
Let s = 8953/11664 - 28/729. Find the common denominator of 139/24 and s.
48
Let a = 12490 + -299711/24. Find the common denominator of 556/(-60) + 25/(-30) and a.
120
Let k be 52/(-130) - 52458/(-131270). Let x = -1430423/1102668 + k. Calculate the common denominator of -107/10 and x.
420
Let w(p) = -p**2 - 5*p + 11. Let k = -20 - -14. Let c be w(k). Suppose -4*y - 4*x = -2*x - 44, c*x = 3*y - 7. Calculate the lowest common multiple of y and 6.
18
What is the common denominator of ((-2)/(-36))/(87/3973) and 44/7?
378
Suppose -4*o - 28 = 3*g, o = 5*o - 4*g. Let w(d) = -d**2 - 5*d + 2. Calculate the smallest common multiple of w(o) and 40.
120
Suppose -c + 2*c = -2*n - 18, 0 = -3*c - n - 29. Let d be -23 + 4/8*c. Find the common denominator of (61/(-12))/((-36)/d) and -13/20.
80
What is the common denominator of ((-262)/(-36))/(0 - -1) and -2 - ((-132)/16)/(-1)?
36
Let r(v) = -4*v + 1. Let w be r(-5). Calculate the least common multiple of 6/w - 183/(-21) and 46.
414
Suppose -98*k = -106*k + 288. What is the smallest common multiple of 30 and k?
180
Suppose -k + 97 = k - 3*p, 4*p - 20 = 0. What is the least common multiple of 37 and k?
2072
Let n = 554/7 - 4874/63. Find the common denominator of -151/6 and n.
18
Let d be (-3)/1*(-6 - (1 + -6)). Calculate the least common multiple of (-1)/d*-69 - -4 and 3.
27
Let d = -259505 - -201894817/778. What is the common denominator of 1/22 and d?
8558
Let l be ((-5)/((-20)/8))/(-2). Suppose -2*u = -v - 2, -v - 3*v + 12 = -3*u. Calculate the smallest common multiple of v and (-3 + l)*(45/(-12) - -1).
66
Suppose 3*v - 2*y + 10 - 27 = 0, 3*y = v - 8. Suppose -v*d = -5*s - 30, 2*d + 2 = 3*s + 14. Calculate the lowest common multiple of 22 and d.
66
Let w = 132 + -99. Calculate the least common multiple of w and 471.
5181
Let g be 2 + (1 - (-596)/(-192)). Let x = g - -95/16. Calculate the common denominator of x and -1/20.
60
Suppose 4*n - 127 = 65. Suppose 43*r = n*r - 35. Let q(t) = t**3 + 4*t**2 - 2*t - 4. Calculate the lowest common multiple of r and q(-3).
77
Let c = -6136 - 1117. Let t = 3225 - c. Let x = 188743/18 - t. Find the common denominator of -107/18 and x.
18
Let j(g) = -g + 6. Let w(a) = -a**3 - 12*a**2 + 12*a - 15. Let t be w(-13). Calculate the smallest common multiple of 6 and j(t).
24
Suppose 702 = -1653*i + 1662*i. What is the smallest common multiple of i and 52?
156
Let x = -1123 - -6629/6. Let v = 49281037/16 - 3067772. Let b = v - 12288. Find the common denominator of b and x.
48
Suppose 0 = -15*y + y + 224. Calculate the least common multiple of y and 152.
304
Suppose 4*l - 60 = 12. Calculate the smallest common multiple of 45 and l.
90
Calculate the lowest common multiple of (228/7)/4 - 2/14 and (-10)/6*-3 + 3.
8
Let d(x) = x**3 + 4*x**2 - 4*x + 8. Let p be d(-6). Find the common denominator of ((-228)/36)/(p/3) and ((-3)/(-44))/(1/(-54)).
440
What is the least common multiple of 140/15 + -2*(-2)/(-12) and 22?
198
Let z(w) = -w**2 - 6*w + 2. Let d(y) = -y**3 - 9*y**2 - 6. Let v be d(-9). What is the lowest common multiple of 6 and z(v)?
6
Let o = -14697 - -23722. Let g = o + -144461/16. Find the common denominator of (-12)/(-27)*(-219)/8 and g.
48
Let f be ((-2)/(-4))/((-4)/(-128)*4). Suppose f*s - 13 = 67. What is the smallest common multiple of 12 and s?
60
Let i be (-135840)/70 - (-4)/7. Find the common denominator of (-4)/(-21)*i/160 and 109/18.
126
Suppose 480 = 5*w + 7*w. Calculate the smallest common multiple of w and 40.
40
Let u = -4241/603 + -3/134. Calculate the common denominator of u and ((-2)/9)/(8/(-303)).
36
Calculate the common denominator of 71/4 and ((-22)/(-1568))/((-261)/2349).
784
Let o = 345/4 - 2445/28. What is the common denominator of -53/40 and o?
280
Let r(a) = a**2 - 8. Suppose 2*k - k + 86 = 2*b, -96 = -3*b - 4*k. What is the lowest common multiple of b and r(6)?
280
Let h = -6998 + 139857/20. Find the common denominator of -49/10 and h.
20
Let g(i) be the third derivative of i**4/8 - 5*i**3/2 + 7*i**2. What is the least common multiple of 12 and g(9)?
12
What is the lowest common multiple of (10/3*-5)/(12/(-144)) and 8?
200
Suppose -t - 868 = 3*l - 877, 14 = 4*l + 2*t. Let x(w) = 3*w + 8. Let c(y) = -y. Let v(p) = 4*c(p) + x(p).