second derivative of 3*r**4/4 + r**3/3 - r**2/2 - 11*r. Calculate the smallest common multiple of 6 and s(1).
30
Let w = 12 + 0. Suppose -10*c - 450 = -55*c + 270. What is the least common multiple of w and c?
48
Let l = 1648 - 4997/3. Let i be 658/6 + (-6)/9 - -2. Calculate the common denominator of l and (6/(-66))/(3/i).
33
Let u be (0 - 20)*12/(-30). Suppose -g + u = 3*g. What is the lowest common multiple of (18 + g)*4/8 and 26?
130
Let s(a) = -2*a**2 - 8*a - 4. Suppose -55 = -4*k - 5*x + 17, 4*k = -3*x + 64. Let u = 10 - k. Calculate the least common multiple of 14 and s(u).
14
Suppose 28 = 2*s - 26. Suppose -n = 2*n + s. What is the lowest common multiple of 10 and 3/n + 95/15?
30
Let t = -1312897 - -13173131/10. Let c = t + -4409. What is the common denominator of c and -95/14?
70
Suppose -3*q + 12 = -9. Let d(k) = 9*k + 1. Let z be d(q). Suppose z = 10*u - 6*u. What is the least common multiple of 12 and u?
48
Let w = -15 - -19. Let m be 10/4*24/w. Suppose -m*y = -12*y - 30. What is the least common multiple of y and 9?
90
Let u be ((-4)/3)/((-12)/1674). What is the common denominator of 45/32 and 1 + -2 - u/132?
352
Suppose -3*l + 24*l = 294. Calculate the smallest common multiple of l and 140.
140
Suppose -u = 5*c - 285, 2*u = c + u - 51. Calculate the lowest common multiple of c and 16.
112
What is the common denominator of 1/5 - 2951/(-1170) and ((-24)/(-7))/6 - 83/(-308)?
396
Let q(a) = a**3 + 4*a**2 - 2*a - 5. Let t be q(-4). Suppose 0 = 2*i + t - 35. What is the common denominator of 63/20 and 22/40 - 24/i?
20
Let f = 268 + -216. What is the lowest common multiple of f and 32?
416
Let i = -1219285/48 - -25404. Find the common denominator of 143/6 and i.
48
Let v be 4 + -1 - 2 - 11. Let u be 1*-1 + (v - 9). What is the smallest common multiple of 10 and 3 - 5/(u/52)?
80
Let x = 240503 + -970217/4. Let q = -2027 - x. Let z = 468 + -2376/5. Find the common denominator of q and z.
20
Suppose 82*m = 81*m + 16. Calculate the least common multiple of 64 and m.
64
Suppose 11 = -4*s - 37. Let h = 3 - -11. What is the lowest common multiple of 7 and 80/h - s/42?
42
Let r = 254813/22 - 11580. Let a = -6224378/10813 + 6332/11. Let l = 56027/1966 - a. Find the common denominator of r and l.
22
Let j(s) = -s**2 + 4*s + 6. Let i be j(-4). Let f = 24 + i. What is the common denominator of 3/14 and f + 0 - (-39)/12?
28
Let v = -170696 + 18435301/108. Find the common denominator of v and -29/132.
1188
Let i = -9515/12 - -5/3. Let v = i - -811. Calculate the common denominator of v and 70/(-25) + 2/12*4.
60
Let a = 69615/8 + -8691. Calculate the common denominator of -43/41 and a.
328
Let p = -12107/40848 + -123/368. Calculate the common denominator of p and -47/9.
333
Let b = -4412/1749 + 59/159. Find the common denominator of b and -70/111.
1221
Find the common denominator of 55/76 and 407/55*(-1)/2.
380
Let x be 3 + (0/(-2 + 5) - -52). Suppose 15*l - 20*l + x = 0. What is the smallest common multiple of l and 1?
11
Let b = 395/3 - 155. Find the common denominator of b and -21/31.
93
Suppose 2*m + v - 64 = 0, m + 171 = 6*m - 3*v. Suppose -4*g = -4*j + 32, g = -4*j + 6*j - 11. What is the least common multiple of m and j?
33
What is the common denominator of 2/(-16) + (-969)/152 and -83/16?
16
Suppose 3*n + 10 = -2*l, -2*l = -4*l - 4*n - 12. What is the common denominator of l/(-2) - 132/(-240) and -95/24?
120
Suppose -4*k + 12 = -2*r, 2*r + 6*k + 33 = 3*k. Let s = r + 32. Find the common denominator of (105/s)/((-30)/4) and -77/10.
10
Let b(x) = 12*x**3 - 5*x + 2. Let c(l) = -13*l**3 + 6*l - 2. Let r(q) = 3*b(q) + 2*c(q). Calculate the smallest common multiple of r(1) and 10.
90
Let f(k) = -3*k - 6. Let z be f(-7). Find the common denominator of 6/z - 111/10 and 85/2.
10
Suppose -5*h + 8 = -h. Let t be (h + -5 + 53)/1. Suppose 5*x + 3*p = t, 30 = 3*x - 2*p - 3*p. Calculate the smallest common multiple of 34 and x.
170
Let p be 4/10 - (-96)/(-40). What is the smallest common multiple of p + 14 - (3 - 0) and 9?
9
Suppose 20 = -9*c + 110. Let n = -26 + 42. Calculate the least common multiple of n and c.
80
Let f be (-2 - (4 - 6)) + 2. Suppose -f*g - 2 = -3*g. Calculate the common denominator of (-524)/(-36) + g/(-9) and -43/4.
12
Let g = 114273/32 - 1043789/160. Let d be (-8857)/(-3) + (40/(-12) - -3). Let f = g + d. What is the common denominator of f and 115/18?
180
Let l = -354 - -369. What is the lowest common multiple of l and 10?
30
Let v be ((-5)/(-4))/(7/(-28)). Let c = 10 - v. Calculate the smallest common multiple of 30 and c.
30
Let c(o) = -o**2 - 2*o - 3. Let w be c(-3). Let f be 15 - (-1)/2*w. Calculate the smallest common multiple of 6 and 21/f + 5/20.
6
Let h = 310 + -6759/22. What is the common denominator of 109/110 and h?
110
Let o be (-740)/(-16) + 4 + -2. Let g = -4145/84 + o. Find the common denominator of g and -17/8.
168
Suppose 50*v = -11*v + 305. Calculate the lowest common multiple of 2333 and v.
11665
Let h = -1109/441 - 155/196. Calculate the common denominator of h and -23/9.
36
Suppose -15*r = -16*r - 57054. Let g be (r/(-20))/(54/63). Let p = g + -3329. What is the common denominator of p and 7/2?
20
Let p(n) = n**3 + n**2 - 11*n + 8. Let m be p(13). Suppose -m = w + 3624. Let j = w - -64356/11. What is the common denominator of -95/6 and j?
66
Let b = -53 - -57. What is the common denominator of ((-138)/(-45) - 3)*1390/b and -48/13?
78
Suppose 2*g = b + 28, -3*g - b - 4*b + 16 = 0. Calculate the lowest common multiple of 20 and g.
60
Calculate the lowest common multiple of 30 and 68/18 - (-11)/(198/4).
60
Let k = -86 - -92. What is the smallest common multiple of ((-11)/(-3))/((-12)/(-72)) and k?
66
Calculate the lowest common multiple of 264/27 - (-4)/36*2 and 104.
520
Let w(i) = i**3 + 45*i**2 + 162*i - 46. Calculate the lowest common multiple of 54 and w(-41).
108
Suppose 28*g + 614 - 3358 = 0. Calculate the lowest common multiple of 20 and g.
980
Calculate the common denominator of (-34)/(-140)*(-25)/(-10) and 73/14.
28
Let l = 39 + -54. Let p = 19 + l. What is the least common multiple of p and -1 - (-3 - -2) - -9?
36
Suppose 4*o - 13 - 13 = -g, -3*o = 4*g - 52. What is the lowest common multiple of g*(1 - 3)*-1 and (28 - 4)/((-24)/(-16))?
80
Suppose -v = -3*r + 26, -3*r - 2*v = 2*r - 25. Suppose -r*m = -11*m + 16. Suppose m*b - 29 = -5. Calculate the smallest common multiple of 10 and b.
30
Calculate the common denominator of (-10)/(-33) + (-5 - 112/(-21)) and -54/11.
11
Let r(i) = -i**3 + 22*i**2 + 51*i - 60. Let y be r(24). Suppose 3*s = 3*h + 21, h = 10*s - y*s + 5. What is the smallest common multiple of s and 2*(0 + 9)*1?
36
Let g be -1 + (4 - 74) + -1. Let o = -27 - g. Find the common denominator of o and 119/10.
10
Let q(w) = -w**3 - 9*w**2 - 11*w - 17. Let g be q(-8). Suppose 2*n = g*n - 135. Calculate the lowest common multiple of 18 and n.
54
Let l(s) = -s + 6. Let d be 14/5 + 4/20. Let v be l(d). Let o = v - -4. Calculate the smallest common multiple of 10 and o.
70
Let m be 2/(-5) + (-1233)/1430. Let u = m + 4/13. Find the common denominator of u and (1/2)/((-3)/(-141)).
22
Find the common denominator of 670/2112 + (-14 - (-1976)/143) and 47/216.
864
Let h(r) = -5*r**3 - 4*r**2 - 5*r - 4. What is the least common multiple of 18 and h(-3)?
990
Suppose 0 = -4*h + 3*m - m - 10, 0 = 2*h + 3*m + 25. Let a = h + 28. What is the least common multiple of 10 and a?
230
Let g = 26 + -15. Suppose 0 = g*r - 5*r - 120. What is the least common multiple of r and 10?
20
Let i = -83 + 131. Calculate the least common multiple of i and 12.
48
Suppose -12 = 5*f - 52. What is the common denominator of (4/f)/((-27)/183) and 55/14?
126
Let h(c) = -5*c - 4. Let u(s) = s - 1. Let t be u(5). Suppose -3*x + 5*a + 56 = 14, 5*x = t*a + 70. Calculate the least common multiple of h(-4) and x.
112
Let o = -42 - -28. Let x = o - -26. Let z = -7 - -21. Calculate the least common multiple of z and x.
84
Calculate the least common multiple of 3 and 379 + 0 - (11 + -2 - 3).
1119
Let a(s) = -s + 1. Let n be a(-5). Let h be (-15)/6 - n/4. Let r(g) = g**2 + 3*g + 3. What is the lowest common multiple of r(h) and 11?
77
Let l = 29/3 - 17. Let y be 4/(-10) + 8706/(-15). Let j = y + 590. Calculate the common denominator of j and l.
15
