Let h(x) = -x**3 - 16*x**2 + 1. Let p be h(-16). Let l = 11 - p. Calculate the least common multiple of 20 and l.
20
Suppose r = 5*q - 55 - 123, -5*q + 181 = -2*r. Let l = -32 + q. Let i(h) = -h**2 + 9*h - 9. Calculate the smallest common multiple of i(6) and l.
9
Let z(b) = -b**3 - 7*b**2 + 7*b + 1. Let n = -47 + 39. What is the smallest common multiple of 5 and z(n)?
45
Suppose 0*o + 5*o - 480 = 0. Let i = o + -152. Find the common denominator of 13/22 and 67/3*21/i.
88
Suppose 40*p - 180 = -5*p. What is the least common multiple of p and 1?
4
Let z(j) = 51*j + 9 + 9 - 17. Let n be z(-1). Calculate the common denominator of 17/8 and 0 - -2 - n/8.
8
Let x(o) = -2*o - 19. Let k be x(-11). Suppose 0 = 2*v - 3 - k. Let j(d) = -d**3 + 6*d**2 - 6*d + 3. Calculate the lowest common multiple of j(4) and v.
33
Let w = 1/1666 - -10823/9996. Find the common denominator of w and -105/22.
132
Suppose -4*g - 25 = -i + 116, 0 = 4*g - 5*i + 145. Calculate the least common multiple of 12/28 - 1385/g and 36.
360
Let n(y) = 12 + 16*y + y**3 + 16*y**2 + 0 - 6 + 0*y**3. Let b be n(-15). Calculate the smallest common multiple of 22 and b/15 - (-69)/15.
44
Let l = 11 - 3. Calculate the lowest common multiple of ((-75)/(-20))/((-81)/144)*(-36)/20 and l.
24
Suppose 2*z = 5*v - 140, -3*v - 115 = -7*v + z. Suppose -m = -t - 29, m + t = 5*t + 17. What is the least common multiple of m and v?
330
Let b = -50 + -47. Let a = -463/6 - b. What is the common denominator of a and 4 + (-3)/144*-34?
24
Let j = 1522/105 - 91/15. Suppose -21*a + 46 = -206. What is the common denominator of j and 130/a - (-7 - (-18 - -8))?
42
Find the common denominator of -25/28 and (-9 - -8) + ((-225)/(-24) - 2).
56
Suppose -175 + 7 = 3*p. Let v = p - -76. Calculate the smallest common multiple of 12 and v.
60
Find the common denominator of 92/230*(-178)/132 and -29/285.
3135
Suppose 0*i - 3*i + 54 = 0. Let s be (12/9)/((-2)/i). Calculate the common denominator of -53/22 and (2/(-4))/(s/660).
22
Suppose 4*t = -2*h + 134 + 266, 424 = 4*t - 4*h. Calculate the lowest common multiple of 33 and t.
1122
Suppose -14*g + 13*g = -9. Find the common denominator of (-42)/g*(-133)/28 and 0 - (-1 - (-25)/(-7)).
42
What is the common denominator of 0 + (16/(-896))/(12/1918) and 3/32?
96
Let k(r) = r**2 + 2*r - 1. Let z be ((-4)/4)/(1/(-3)). Let s = 953 - 935. What is the lowest common multiple of k(z) and s?
126
Suppose 0 = 27*a - 568 - 107. Calculate the smallest common multiple of a and 55.
275
Suppose -3*m - 2*j = -19, -m + 18 = -0*j + 3*j. Suppose o - 3 = m. What is the least common multiple of o and 8?
24
Suppose 0 = 5*y - v - 201, -3*y + 2*v + 123 = -v. Find the common denominator of 30/y*260/(-6) and -71/16.
16
What is the least common multiple of (-117 - 3)/(0 - -5 - 6) and 24?
120
Let s = -38 - -90. Suppose -2*c - 1 = 3*g - s, -5*c + 4*g = -162. Calculate the least common multiple of 9 and c.
90
Calculate the common denominator of 36/41 and ((-12)/(-80))/((-6)/85).
328
Let t be (-215)/6 - (-4)/(-24). Let l(p) = -3*p**2 - 3*p - 3. Find the common denominator of l(3) and (-578)/(-12) + (-12)/t.
2
Let p = 16842136/275 + -61244. Find the common denominator of p and -28/125.
1375
Suppose 91 = d - 123. Calculate the common denominator of 121/12 and d/(-24) + (-30)/(-10).
12
Calculate the common denominator of (5/((-1000)/544))/((-4)/10) and -37/27.
135
Calculate the least common multiple of -13 + 672/10 + 1/(-5) and 72.
216
Let t = -9599/111 - 1830613/3330. Let s = t + 3203/5. Find the common denominator of 31/14 and s.
126
Suppose 8 = -3*m - 22. Let g = m + 11. Calculate the common denominator of -1 + g - (-396)/8 and -85/8.
8
Suppose 170 - 20 = -5*j. Find the common denominator of -93/20 and (-2)/j*1428/8.
20
Suppose -4*u + 8 + 4 = 0, 5*u - 25 = -g. Let y be (-27)/(-18)*172/(-6). Let j = -33 - y. Calculate the least common multiple of g and j.
10
Let u = 839 - 827. What is the least common multiple of 228 and u?
228
Let y = -110 + 114. Calculate the common denominator of -11/75 and y/(-6) - (-76)/9.
225
Let r = 9694476383363/521247330 - -2/86874555. Let c = r + -18606. Find the common denominator of c and (-2 - 1) + (-5950)/(-900).
18
Let c = -143833/152700 + 247/509. Find the common denominator of -41/100 and c.
300
Let p(q) = 7*q + 10. Let d(a) = -4*a - 5. Let y(x) = 5*d(x) + 3*p(x). Let c = 0 - 0. Calculate the smallest common multiple of y(c) and 3.
15
Let u = 20 + -34. Let r(x) = x + 18. Let o be r(u). What is the smallest common multiple of 4 and ((-20)/4)/((-2)/o)?
20
Calculate the common denominator of 80/21 and 2/13 + 334/2730.
105
Let f = 74 + -72. Let y(s) = -s - 4. Let j be y(-4). Suppose m - a = 6, m = -3*a - j - 2. What is the lowest common multiple of m and f?
4
What is the common denominator of (-1)/(-8) - 12530/25872 and 30/143?
3003
Suppose 0 = -3*c + 3, -11*c = -5*z - 12*c + 511. Calculate the least common multiple of 20 and z.
1020
Suppose 5*v + 20 = -5*b, -3*b + 6*v + 12 = 3*v. Suppose b = -5*q + 5, 4*w + 3*q = -q - 44. Let d = w + 16. What is the lowest common multiple of 11 and d?
44
Suppose -3*v = d - 2072, -2*v - 3*d - 2*d + 1403 = 0. Let z = v + -2105/3. Calculate the common denominator of 41/3 and z.
3
Let m = -43/13 + 607/156. Find the common denominator of m and -109/66.
132
Let d = 9 - 7. Let j(l) = -l**3 + l**2 + 30. Let q be j(0). Let u = q + -23. Calculate the least common multiple of d and u.
14
Let z = 8581/288 + -296/9. Let m = 625 - 1823. Let a = m - -21529/18. Find the common denominator of z and a.
288
Calculate the common denominator of (-4)/5 + (-6021)/6480 and 21/160.
480
Let y be 8956/24 - 4/6. Let k = -9723/26 + y. Find the common denominator of -18/7 and k.
91
Suppose 2976 = -3*p + 2*p - 3*o, -p = -o + 2992. Calculate the common denominator of p/560 - 2/(-7) and -7 - (1 - (-305)/(-90)).
180
Let w = 12/49 - -1691/98. Suppose -2*q - j + 19618 = 2*q, q - 4909 = 2*j. What is the common denominator of w and 4/(-22) - (q/(-88))/(-9)?
8
Suppose 4*l = 5*p - 27, p + 15 = -5*l + 3. Calculate the common denominator of p*(11 + -9 + 458/(-120)) and 27/2.
20
Let q = 17 - 16. Suppose 5*p + 10 = 7*p. Calculate the lowest common multiple of p and 0/1*q + 5.
5
Suppose -10 = 5*z + 25. Let c be 74/(-7) + (-4)/z. What is the common denominator of (4/c)/((-108)/(-1065)) and 95/2?
18
Calculate the lowest common multiple of ((-8)/(-6))/(1240/72 - 17) and 12.
12
Let z = -96 - -100. Suppose 9*s = 4*s - 75. What is the smallest common multiple of (-279)/s + 3/(-5) and z?
36
Let y be 5/((-15)/6) - 14. Let o = y - -15. Let a(p) = 11*p**2 + 2*p + 1. Calculate the smallest common multiple of a(o) and 6.
30
Calculate the common denominator of -31/198 and (-133469)/12600 - -11 - 2/16.
4950
Let m be 10/(-14) - 2/7. Let r = 5 + m. Suppose -t = r, 4*x - 8*x - 5*t - 4 = 0. Calculate the smallest common multiple of 10 and x.
20
Let f = -26 - -44. Let p be -1 + -2 - -9*1. Let r(w) = w**2 - 4*w + 6. What is the least common multiple of f and r(p)?
18
Let l(y) = y**2 - y - 9. Let n be l(8). Suppose -x = 2*s - 4, s + 0*s + n = 3*x. Calculate the lowest common multiple of x and 10.
70
Suppose 0 = -3*u + 2*u + 5, -3*r = 3*u - 291. What is the smallest common multiple of 18 and (r - -2) + -1*8/2?
90
Let o = -968/7 - -138641/1001. Calculate the common denominator of -83/26 and o.
286
Suppose -39 = -c - 135. Calculate the common denominator of -6*-2*(-39)/c and ((-4)/18)/((-16)/(-372)).
24
Let t = -133 + 134. What is the common denominator of 103/10 and 1 - (-200)/35 - t?
70
What is the lowest common multiple of 90 and 58/5 + (9 - (-387)/(-45))?
180
Let n = -322 - -3871/12. What is the common denominator of n and 77/10?
60
Let h(l) be the second derivative of -l**4/12 + 5*l**3/6 - l**2 + 9*l. Let r be h(4). Suppose -g = -10 + r. Calculate the lowest common multiple of g and 11.
88
Suppose 2*i + p = 3, i - 3*i - 2*p = 2. Suppose -5*d + 59 = 3*k, 2*d - 3*k = i*d - 29. Calculate the lowest common multiple of 6 and d.
30
Suppose 2*y - 3*y - 15 = 0. Find the common denominator of y/(-75) - 358/15 and (6 + 426/(-72))*(-8)/6.
9
Let i = -16849/1430 + 69/143. Suppose 0 = -15*w + 522 + 48. What is the common denominator of i and w?
10
Let f be (-18)/(-24) + (-129212556859)/(-30073716). Let s = f + -19/835381. L