s + 2*s = 1000. What is the least common multiple of s and 12?
300
Suppose 4*m + m - 40 = 0. Let z(o) be the first derivative of o**2/2 + 6*o + 2. Calculate the smallest common multiple of m and z(-5).
8
Let m(l) = l**2 - 2*l - 32. Calculate the lowest common multiple of 4 and m(-5).
12
Suppose -2*m - 27 = -3*g + 3*m, -21 = -3*g + 3*m. Let h = g + -2. Calculate the common denominator of -14/3 and 4/48*(-99)/h.
24
Calculate the common denominator of -79/32 and (938/588)/(2/(-6)).
224
Suppose 3*f + 924 = f. What is the common denominator of 101/22 and f/(-16)*(-2)/(-12)?
176
Let c(p) = -p**3 + 11*p**2 - 10*p + 5. What is the smallest common multiple of 3 and c(10)?
15
Let c(j) = 3*j**2 + j. What is the least common multiple of c(2) and 5?
70
Suppose -3*y = -5*u - 38 - 22, 0 = -4*y - 2*u + 54. Suppose -5*x + 35 = -2*i - 3*i, 5*i + y = 0. What is the least common multiple of 14 and x?
28
Let m = -1556/3 - -537. What is the common denominator of m and 41/27?
27
Let h be 2 - (5/1 + -2). Find the common denominator of 2 - (h + (-93)/(-2)) and 22/3.
6
Let u = -617/3 - -203. What is the common denominator of -13/8 and u?
24
Let s = 46 - 24. Calculate the smallest common multiple of s and 4.
44
What is the common denominator of -2 - (655/(-30) - -3) and 131/18?
18
Calculate the common denominator of -25/14 and 9/(-24)*125/15.
56
Let x(z) = -8*z**3 - 2*z - 2. Let b = 2 + -3. What is the least common multiple of 9 and x(b)?
72
Let f be (-2)/(-3) + (-538)/(-21). Let v = -165/14 + f. Calculate the common denominator of v and 91/8.
8
Let b(z) = -2*z**2 - 25*z - 10. Calculate the smallest common multiple of b(-12) and 9.
18
Calculate the common denominator of (87/4 + -2)/(-1) and -35/2.
4
Suppose -24*n - 24 = -25*n. Calculate the common denominator of n and -63/64.
64
Let z = -119/23 - -2505/253. What is the common denominator of z and -17/4?
44
Let b(c) = -5*c - 3. Calculate the lowest common multiple of b(-5) and 14.
154
Let c(u) = 2*u + 3. Let r be c(3). Suppose 4*d + 1 - r = -2*v, 0 = -3*v - 2*d + 32. Calculate the least common multiple of ((-6)/5)/(3/(-10)) and v.
28
Let a(y) = -11*y + 3. Let d be a(3). Find the common denominator of (-222)/4*2/d and -35*(-2)/18 - -1.
90
Let k = 30 - 11. Suppose -2*q + 3 + k = 0. What is the smallest common multiple of 5 and q?
55
Let a(p) = p**2 + 9*p. Let b be a(-6). What is the common denominator of b/(-60)*1210/(-36) and 95/12?
12
Let z = 1181/48 - -7/48. Let n = -3/214 + 13277/642. What is the common denominator of z and n?
12
Let g = 17 - 14. Calculate the lowest common multiple of 2 and g.
6
Suppose -2*b - 2*b - 4*x + 16 = 0, -3*x = -9. What is the least common multiple of b and 43?
43
Let b(h) = h**2 + h - 2. What is the smallest common multiple of 2*4*(-1)/(-2) and b(-3)?
4
What is the smallest common multiple of (-2)/6 - (-155)/15 and 6?
30
Suppose -3*r + 39065 = 2*r. Let c = -47011/6 + r. Calculate the common denominator of c and 7/8.
24
Suppose -3*j + 32 = 2. Calculate the lowest common multiple of j and 26/8 - (-1)/(-4).
30
Let l(d) = -3*d - 43. What is the least common multiple of l(-20) and 7?
119
Let o be 2/(-3)*-3*-23. Find the common denominator of o/(-14) - (0 - 0) and (-788)/(-112) + (-2)/(-8).
7
Let c(k) be the first derivative of -2*k**2 - 1. What is the least common multiple of 1 and c(-1)?
4
Suppose -s + 5*s - 16 = 0, -3*p - s + 64 = 0. Calculate the smallest common multiple of 2 and p.
20
Find the common denominator of (-4)/((-160)/98) + 1 and -151/12.
60
Calculate the common denominator of (16/(-5))/(((-11)/(-5))/(-1)) and -57/7.
77
Let c(b) = -2*b - 13. Let q(y) = -3*y**2 - 2*y - 3. Let w be q(-2). Calculate the lowest common multiple of 9 and c(w).
9
Suppose 5*l - 4*w = 85, 0 = -4*l - w + 6*w + 59. What is the least common multiple of 51 and l?
357
Suppose -3*a = -w + 10, 0*a + 10 = 5*w - 5*a. Calculate the common denominator of w/3 - 277/66 and 97/22.
22
Suppose 0 = 5*v + i - 13, 0*i + 3 = 3*v + 3*i. Suppose -5*o = 4*q + 32, -q + 5*o - v*o + 5 = 0. What is the common denominator of -5/4 and 111/4*q/(-27)?
12
Suppose -b + 3*j + 3 = 0, 3 = -3*b + 4*j + 22. Calculate the least common multiple of 6 and b.
18
Let i(l) = -l**3 + l**2 + l + 41. Calculate the common denominator of -36/7 and i(0).
7
What is the lowest common multiple of (-2 - -10)*(-2 + 3) and 3?
24
Let j = 3/649 + 12313/3894. What is the common denominator of j and 119/12?
12
Let r = 34227/3734 + 2/5601. Let x = -6120 + 110053/18. What is the common denominator of x and r?
18
Let o = 115/156 + 2125/468. Let v(p) = -p**2 + 7*p. Let w be v(5). Calculate the common denominator of o and 4/w - 102/(-40).
180
Let d(h) = -5*h**3 + 5*h**2 + 4*h**3 + 3*h - 7 + 0*h**3. Let u be d(5). Suppose 5*k - u = 3*k. Calculate the lowest common multiple of k and 4.
4
Let r = 7976 + -79837/10. Calculate the common denominator of r and 139/12.
60
Let v = -3 - -8. Suppose 2*r + 1 = 4*a - 3, -v*a + 5*r + 15 = 0. What is the common denominator of -77/2 and 489/63 - a/(-3)?
14
Let v = -3 + 11. Let y = v + -2. What is the common denominator of -37/20 and ((-129)/18)/((-16)/y)?
80
Calculate the common denominator of -7/27 and (-4)/1 - 132/(-16).
108
Let c(s) = -s**2 + 12*s - 19. What is the smallest common multiple of 4 and c(9)?
8
What is the lowest common multiple of ((-3)/(-6))/(2/48) and (-32)/1*(-2)/4?
48
Let v(q) = -3*q**3 + 20*q**2 - 9*q + 6. What is the smallest common multiple of 28 and v(6)?
168
Let t = 28550 - 799509/28. Find the common denominator of t and -151/6.
84
Suppose -9*n = -42 - 48. Calculate the lowest common multiple of 8 and n.
40
Let w = 25475/1986 + 2/331. Calculate the common denominator of 67/32 and w.
96
Suppose 5*n = 2*n + 3567. Let z = n + -26149/22. What is the common denominator of 51/2 and z?
22
Let p = 5 + 1. What is the lowest common multiple of 2 and p?
6
What is the common denominator of (36/55)/(2/10) and -44/9?
99
Suppose -4*c = -4*f - 80 + 20, -10 = -2*f. What is the lowest common multiple of c and 2?
20
Suppose -7*a + 130 = -10. What is the lowest common multiple of 66 and a?
660
Suppose -5*h + 13 + 37 = 3*x, 0 = -3*h - 15. Let o(k) = -21 + x + 3*k**2 + 2*k - 2*k**2. Calculate the least common multiple of o(-3) and 9.
63
Suppose 0 = 2*r + 2 - 16. Suppose 12 = -2*o + 6*o. What is the smallest common multiple of o and r?
21
Let f = 704 + 5799. Let m = f - 3080. Let r = 61567/18 - m. Find the common denominator of 21/22 and r.
198
Let k = 71/410 - 3/41. Find the common denominator of k and (2/6)/((-286)/(-2925)).
110
Suppose 2*k = -0*k + 78. Let y = 2471/4 - 625. Find the common denominator of y and k.
4
Let k = 11/86 - -497/2838. What is the common denominator of 41/30 and k?
330
Let x = 25/47 + -993/188. Find the common denominator of (735/(-80))/((-18)/3) and x.
32
Calculate the lowest common multiple of 1 - 9/3 - (-17 + -2) and 5.
85
Find the common denominator of (-6)/(-165)*(-18)/(-9) and -109/70.
770
Let y be 5 + -1 + 2/2. Suppose b - y = -2. Suppose b*v - 6 - 18 = 0. Calculate the lowest common multiple of v and 6.
24
Let d = -328/45 + -11/18. Calculate the common denominator of d and 5/4.
20
Find the common denominator of -26/21 and (182/40)/((-34)/10 - -3).
168
Suppose -3*k - y - 4*y = 15, -3*y = -k + 9. Suppose -i = -7 - k. Calculate the lowest common multiple of i and 8.
56
Suppose 3*v = -0*v + 5*l + 65, -4*v - 5*l + 75 = 0. Suppose 0 = -3*f - 2*f - v. Calculate the lowest common multiple of 6 and 2 + 0 + f + 3.
6
Let x = 1567/3 + -1013/2. Find the common denominator of x and ((-150)/(-8))/(27/(-6) + 0).
6
Suppose -l + 3*j + 36 = 570, 2*l - j = -1063. Let p = -744 - l. Calculate the common denominator of p/12 - 1/(-4) and 39/11.
22
Let l(t) = t**2 - 6*t - 5. Let d be l(5). What is the common denominator of 1/4*292/d and 52/3?
30
Let c = -3 + 10. What is the lowest common multiple of ((-3)/(-2))/(9/48) and c + 1 + 1*-2?
24
Let p = -1 + 3. Suppose 0 = -w + 4*s - 6002, 4*s + 18054 = -p*w - w. Let d = w + 60083/10. Calculate the common denominator of -17/11 and d.
110
Let i = -6 + 11. Calculate the lowest common multiple of 3 and i.
15
Let o = 82663/20 + -4132. Find the common denominator of o and 83/(-10) + 2 - -4.
20
Let q = 10 - 6. Suppose -36 = -4*v + l - 3*l, 44 = q*v - 2*l. Suppose 3*t = -2*t + v. What is