. Calculate the lowest common multiple of c and 1.
1
Let l(f) = -f**3 - 3*f**2 - 6*f - 9. Suppose 20 = -3*x + 7*x. What is the lowest common multiple of l(-3) and x?
45
Suppose 0 = -0*x - 3*x + 30. What is the least common multiple of 18 and x?
90
Let n(s) = 30 + s**2 - 30 - s. What is the smallest common multiple of 4 and n(-3)?
12
Let b(r) = -2*r**2 + 8*r + 10. Let j be b(10). Let l(p) = -2*p**2 + 5*p - 4. Let o be l(4). Calculate the common denominator of 4/9 and (2*j/o)/(-1).
36
Suppose 0 = -4*c - 68 + 20. Calculate the lowest common multiple of (-9 - -2)*c/7 and 20.
60
Let n = -449 - -3599/8. Find the common denominator of 79/22 and n.
88
Suppose 4*d - 18 - 14 = 0. Suppose m + 5*t + 13 = 0, 2*t = 4*t + d. What is the least common multiple of 1 and m?
7
Suppose -4*u + 30 + 14 = 0. Suppose -9 - 11 = -4*r. Suppose 5*m = 4*v - 15, -3*m + r*v - 21 = m. What is the least common multiple of m and u?
11
Let l be (184/(-990))/(14/(-1299)). Let k = -192/11 + l. Let q = 5/84 + k. Calculate the common denominator of q and 17/2.
20
Suppose -y - y - 3*i - 17 = 0, -4*i - 16 = -4*y. Let p(s) = -7*s**2 - s. Let v be p(y). Let x = -1 - v. Calculate the lowest common multiple of 7 and x.
35
Suppose 0 = 3*w - 2*b - 115, 3*w - b = w + 76. What is the least common multiple of w and 10?
370
Let z = -1553/12 - -118. Calculate the common denominator of 1/(-20)*(2 + -21) and z.
60
Calculate the common denominator of (-6)/(108/(-195)) - -2 and 35/22.
66
Let s be 20/3 - (-4)/(-6). Find the common denominator of 1/22 and ((-6)/(-32))/(s/(-212)).
88
What is the smallest common multiple of 4/(2 + 6/(-4)) and 19?
152
Let i(w) = -w**2 + 5*w - 5. Let j be i(5). Calculate the common denominator of j/6*(-16)/(-2) and (-1222)/312 + 2/(-6).
12
Suppose -2*d = 2*d. Let n be (1 - (0 + d))*-1. Calculate the common denominator of 131/6 and n + 3 - (-274)/(-28).
42
Let d(b) = -11*b + 3 - 4*b + b**2 + 12 - 1. Let l = 1 + 17. Calculate the smallest common multiple of d(15) and l.
126
Suppose 0 = -4*b - 2*h + 4*h, 0 = -b + 4*h - 7. Calculate the lowest common multiple of 3 + -3 + b + 19 and 2.
20
Let y(h) = -h**3 + 4*h**2 - 3*h + 1. Calculate the common denominator of y(3) and (-4)/((-7)/(238/(-6))).
3
Let q(b) = -8*b. Let w(n) = -8*n - 1. Let o(z) = 3*q(z) - 2*w(z). Let y be o(-2). Suppose -3*i + 0*i + y = 0. What is the smallest common multiple of i and 11?
66
Calculate the common denominator of 68/9*18/156 and 4/15.
195
Let s = 41 - 39. What is the least common multiple of s and 16?
16
Let d be 1 + 0 + 2 + -17. Calculate the common denominator of -65/2 and (18/12)/((-2)/d).
2
Let l = 3286 + -36186/11. What is the common denominator of -51/11 and l?
11
Suppose 3*n - 162 = 4*o, 9*n - 8*n = -2*o + 54. What is the least common multiple of n and 22?
594
Suppose -9 - 39 = -6*d. Calculate the least common multiple of 112 and d.
112
Calculate the common denominator of -85/12 and 123/(-16) + 3 + 0.
48
Let r = 7685 + -61389/8. What is the common denominator of 7/4 and r?
8
Let m = -15 - -19. Calculate the least common multiple of m and 10.
20
What is the common denominator of -2 + 1 + (-84)/(-32) and ((-13)/(-66))/(1/3)?
88
Let a be (292707/(-10620))/(12*1). Let o be 2/(-16)*(-6)/(-236). Let i = o + a. Find the common denominator of 87/4 and i.
20
Let q = 52 - 50. What is the lowest common multiple of 10 and q?
10
Suppose -2 = 3*v - 14. Suppose v*w = -w + 45. What is the smallest common multiple of 5 and w?
45
Let x be (-4)/690*(-20)/(-18). Let z = 15115/621 + x. What is the common denominator of 25/11 and z?
33
Let p = 2558 + -40893/16. Find the common denominator of p and 0 + 11*2/40.
80
Suppose 0 = 2*v + 2*v + 12. Let d(s) = -5 - 261*s**2 + 260*s**2 - 4*s + 3. Calculate the least common multiple of 5 and d(v).
5
Find the common denominator of ((-4)/(-12))/(1/(-67)) and 53/7.
21
What is the lowest common multiple of 3 - (3 + -4) - -2 and 18?
18
Let m = 7 - -5. Let d(b) = b**3 + 6*b**2 - 10*b + 1. What is the smallest common multiple of d(-7) and m?
132
Let p(c) = -c**3 - 7*c**2 + 8. Suppose -26 - 4 = -5*u. What is the smallest common multiple of p(-7) and u?
24
Suppose -42 = -w - 2*w. Calculate the smallest common multiple of w and (-2)/10 + 51/5.
70
Let y = 22 - 43. Calculate the least common multiple of 70/y*1*-3 and 6.
30
Let y be 4 - (-1 - -4) - -7. Let q = y - 6. What is the smallest common multiple of 20 and q + (3 - -17) - 2?
20
Suppose -5*z - i + 18 + 4 = 0, -2*z - 4*i = -16. Suppose -z*x + 848 = 3564. Calculate the common denominator of -59/22 and ((-3)/21)/((-6)/x).
66
Suppose r = -t - 5, 2*t + 4*r + 1 + 15 = 0. Let k = -8 - t. What is the lowest common multiple of 9 and (-2 + (-8)/k)*-12?
72
Let p = -54 - -60. Calculate the smallest common multiple of 30 and p.
30
Let c = 20 - 18. Suppose -5*n = -10*n + 30. What is the smallest common multiple of n and c?
6
Suppose -j = -5*w - 2*j + 110, 0 = 3*w + 4*j - 83. Let m = w - 13. What is the least common multiple of 5 and m?
40
Let r(x) = 10*x. Let o be r(1). Suppose -5*t = o - 55. Suppose 2*n + 53 = 5*u, 2*u - 3*n - 12 - 18 = 0. What is the least common multiple of u and t?
9
Let n(a) = a**3 + 9*a**2 - 11*a + 12. Let c = -35 - -55. What is the smallest common multiple of n(-10) and c?
220
Let j(v) = v**2 + 3*v - 7. Let c be j(-5). Calculate the common denominator of 13/10 and -16 - c/(3 + 0).
10
Let k(v) = 2*v**3 - v**2 - v. Let y be k(4). Suppose -5*p + y - 38 = 0. What is the lowest common multiple of 12 and p?
84
Suppose 3*j + 2 + 88 = 0. Let u = j + 52. What is the lowest common multiple of u and 20?
220
Let n(i) = -5*i - 7. Suppose -w - 10 = 3*s, 5*w + 11 - 56 = 4*s. Suppose 1 = 4*r - 0*j - 3*j, -2*r + 33 = w*j. What is the least common multiple of r and n(-5)?
36
Let r = -5 - -15. Let l = -91 - -99. Calculate the smallest common multiple of r and l.
40
Let l be 2/(-4) + 99/22. Suppose -4*d + l*j = d - 44, 2*d + j = 15. What is the lowest common multiple of d and 4?
8
Let w(z) = z**3 + 6*z**2 - 7*z + 1. Let r be -1*1/((-3)/(-21)). Suppose -4*h = -o - 0*h + 19, 5*h + 35 = 5*o. What is the lowest common multiple of w(r) and o?
3
Suppose -2*d + s - 6*s + 23 = 0, -2*d = s - 11. Find the common denominator of d/44*148/8 and 17/32.
352
Let i(o) = o**2 - 4*o + 1. Calculate the lowest common multiple of 2 and i(7).
22
Let h(v) = -v**2 - 4*v - 7. Let w be h(-5). Let p be (3/30)/(w/957). Let s = -51/10 - p. What is the common denominator of s and -55/9?
72
What is the lowest common multiple of 20 and ((-3)/4)/(7/(-280))?
60
Suppose -4*r = 3*k - 1197, -4*k = -5*r + 773 - 2369. Let v = 3987/10 - k. Find the common denominator of v and 49/4.
20
Let y(r) = -r**2 - r + 7. Let q(m) = 8*m**2 + m + 1. Let h be q(-1). Let v = -3 + h. What is the least common multiple of v and y(0)?
35
Suppose 2*a - 5*a + 24 = 0. Calculate the smallest common multiple of 7 and a.
56
Find the common denominator of -51/4 and -9*(-2 + 1/4).
4
Suppose -2*d - 3 + 15 = 0. Calculate the common denominator of 73/22 and 3/d - 22/9.
198
What is the common denominator of -3 + (-186)/(-33) + -1 and 12/7?
77
What is the common denominator of 4/7 + 3815/98 and -65/8?
8
Let m be (2 + 0)/(-2) + 37. Let b = 52 - m. Calculate the lowest common multiple of b and 2.
16
Let x be 3/((-18)/(-14313)) - 4. Let s = x - 2432. Calculate the common denominator of s and -73/2.
2
Let z = 2897507/5122824 - 4/30493. Let l = z + -46/21. Calculate the common denominator of l and -23/7.
56
Let p = 8 + -5. Suppose 0*y + 4*y = 4*d - 32, -d + p*y = -6. Calculate the least common multiple of d and 4.
36
Let r be ((-27)/6)/((-2)/8). Suppose 5*h - 3*y = y, 3*h + 4*y - 32 = 0. Suppose -d = -h*d + r. Calculate the lowest common multiple of 6 and d.
6
Let n be 4*3/(-6) + 5. Suppose -n = -f + 3. Let r(o) = o**2 - 6*o + 9. Calculate the lowest common multiple of r(f) and 2.
18
Calculate the lowest common multiple of 6/14 - 109/(-7) and 4.
16
Let r = -1001 - -6952/7. Let h = 1481715 + -216328569/146. Let y = -2/73 - h. What is the common denominator of y and r?
14
Let c = 1383070/60933 - 165/1069. Let q = c + 34/19. Calculate the common denominator of -5/8 and q.
24
Let v(l) = -l**2 - 5*l - 3. Let y be v(-7). Let u = 25 + y. Calculate the least common multiple of u and 13.
104
Suppose -2*v = v + 270. Find th