0
Suppose t + t = 0. Suppose -2*z - 12 - 6 = -2*c, t = 2*z. What is the smallest common multiple of 2 and c?
18
Let a = 866719/107586 - 3/5977. Find the common denominator of a and (-2)/9 - (-491)/144.
144
Suppose 4*r + 1154 = -5*g, 4 = g + g. What is the common denominator of 53/8 and (-4)/(72/r) - 1?
24
Let t(c) = c**3 + 6*c**2 - 5. Let u be t(-5). Calculate the common denominator of 91/8 and (5/u)/((-10)/(-296)).
40
Let t = 22123/3375 - -2/3375. What is the common denominator of 3*1 + (-556)/24 and t?
18
Let c = -521 + 355. Let u = -112 + 679/6. What is the common denominator of u and c/(-12) - 0/2?
6
Let w = -10349/14 - -740. What is the common denominator of -19/9 and w?
126
Let d(z) = -z**2 - 11*z + 30. Calculate the smallest common multiple of d(-13) and 2.
4
Suppose q - 3*m - 17 = 0, 7 = 3*q - 2*q - m. Suppose 223 = 41*a - 64. What is the least common multiple of a and q?
14
Let o = -87 - -120. Calculate the lowest common multiple of o and 24.
264
Let g be ((-15)/(-183))/(14/982). Let s = g + 24/61. Calculate the common denominator of -70/9 and s.
63
Find the common denominator of (-699)/(-144) - 4/6 and 123/20.
80
Suppose -8 = -2*c + 8. Calculate the lowest common multiple of 12 and c.
24
Let h = -2 - -14. What is the least common multiple of h and 18?
36
Let q be ((-7)/5)/((-38)/(-5)). Let u = q - -1769/114. Calculate the common denominator of u and 109/(-55) + 14/77.
15
Let y = -16 + 24. What is the common denominator of (584/(-20))/(y/(-10)) and 13/8?
8
Let y(w) = w - 2. Let h be y(6). Suppose -h*c = -8*c + 40. Calculate the least common multiple of 6 and c.
30
Let h be (-6)/(-9) - (-16)/3. Suppose 3*w + 2*v = 5*v + h, 0 = -4*v. Suppose 0 = 4*p - 53 - 19. Calculate the smallest common multiple of w and p.
18
Let s = -68/203 - -188974/565355. Let n = s - -264599/33420. Find the common denominator of n and -57/10.
60
Let z(q) = 34*q + 6. Let f be z(-6). What is the common denominator of (-4)/10 + f/5 and -61/10?
10
Let m be 36829722/(-32) + -2 + -1. Let g = m - -1156575. Let d = g + -5645. Find the common denominator of d and -61/4.
16
Let x(w) = w**2 + 9*w + 1. Suppose -3*v + m + 13 = -0, -3*m - 27 = -5*v. Calculate the least common multiple of v and x(-9).
3
Calculate the common denominator of 35/9 and ((-48)/33)/(-2)*27/(-6).
99
Suppose 0*y + 50 = 5*y. Let n = -18 - -21. What is the smallest common multiple of n and y?
30
Suppose 4*d = 5*d - p - 3, -33 = -5*d - p. Suppose 5*x - d = 2*x. Find the common denominator of 102/(-16)*x/(-3) and -7/2.
4
Let i be -1*((-1)/(-1) - 3). Suppose 20 = 5*v - 3*v. Suppose -i*n + v = 3*n. Calculate the least common multiple of n and 3.
6
Let t = -2/297 - 277/2970. Let d(u) = 448*u - 7. Let x be d(6). Let h = -26769/10 + x. Calculate the common denominator of t and h.
10
Suppose 5*r = 2*k + 44, 0 = 4*k - 0*k + 8. Calculate the lowest common multiple of 6 and r.
24
Let t be ((-4)/(-6))/(3/(-18)). What is the common denominator of (-5)/(-5) + 37/t and 27/7?
28
Let i = -5216/1455 + 3/1940. Calculate the common denominator of 91/12 and i.
12
Let b(y) be the second derivative of 0 + 1/6*y**4 - 4*y + 0*y**2 + 0*y**3. Calculate the smallest common multiple of b(-1) and 2.
2
Calculate the least common multiple of 9 and (13/3)/(0 + (-1)/(-3)).
117
Suppose -11 + 1 = -5*a. What is the lowest common multiple of a and 5?
10
Suppose 0 = -4*q + 2*q + 20. Let g = 66 - 29. Let w = -26 + g. What is the lowest common multiple of q and w?
110
Suppose 4*d = 2*d - 4. Let b(x) = 9*x**3 - x**2 - x + 2. Let s be b(d). Calculate the common denominator of 117/14 and ((-82)/s - 1)*50.
126
Let q = -243277/27 - -9012. What is the common denominator of q and 77/30?
270
Suppose 26 = 2*i - 6. Let c = 11 + 5. Calculate the smallest common multiple of i and c.
16
Let a(f) = -f**2 - 7*f - 6. Let y be a(-5). Suppose y*s + 6*x - 2*x = 24, 2*s - x - 12 = 0. Calculate the lowest common multiple of 18 and s.
18
Suppose 0*i + 22 = 2*t + 2*i, -i + 18 = 2*t. Let o = -1 + t. Calculate the lowest common multiple of 3 and o.
6
Suppose 5*k = -2*a - 121, 3*k + k - 3*a = -106. What is the common denominator of 6 + -5 + (-94)/(-20) and (-280)/k - (-2)/2?
10
Let h be 2*(-5276)/8 + -3. Let q = h + 5339/4. Let p = 181593/41206 - -4/1873. Find the common denominator of q and p.
44
Let i be (-3617)/(-3)*(-5)/10. Let s = -617 - i. Calculate the common denominator of s and 51/14.
42
Suppose 40 = 4*u - k, -23 - 37 = -4*u - 4*k. What is the lowest common multiple of 19 and u?
209
Suppose u - 3 = -0*u. Suppose u*k = 7 + 11. Let q = -4 + k. What is the least common multiple of q and 4?
4
Let s = -1231/2 + 680. Let v = -533/8 + s. Calculate the common denominator of v and (3 - 4)*1/10.
40
Let s(z) = z**2 + 7*z + 2. Let p(a) = 2*a - 18. What is the smallest common multiple of p(11) and s(-7)?
4
Calculate the common denominator of (-4)/288*3*279/(-2) and (-71)/10 + (1 - 3).
80
Let v be 1396/14 + (-4)/(-14). Suppose -r + 2*r + 2*g - 30 = 0, -4*g = 3*r - v. What is the common denominator of 43/8 and 306/r - (-2)/(-5)?
8
Let u = 0 + 10. Calculate the lowest common multiple of 7 and u.
70
Suppose 4*l - 301 = 75. Let g = l + -54. Suppose 4*j = -4 + g. Calculate the least common multiple of 3 and j.
9
Let x be 2/(-4) - 13222/(-14). Let u(f) = -2*f**3 + 5*f**2 + 10*f + 17. Let a be u(9). Let r = a + x. Find the common denominator of -85/2 and r.
14
Let b = 3/4 - 13/4. Calculate the common denominator of 3 and b.
2
What is the common denominator of -41/14 and ((-114)/2)/(-2 - -22)?
140
Suppose -5*n - 60 = 5*f, 0 = 5*n - 4*n. Let t be f*(9/(-6) + -1). Suppose 3*u - t - 24 = 0. What is the lowest common multiple of 6 and u?
18
Calculate the common denominator of (3/(-6))/(22/(-59)) and -55/16.
176
Let b = 2605234627 + -7508286297327/2882. Let x = -1/1441 - b. What is the common denominator of 0 - (1 + 123/30) and x?
10
Let j = -1678 + 3106. Let w = 2913/2 - j. Find the common denominator of w and 123/10.
10
Let s(m) = m**3 - 13*m**2 - 13*m - 12. Calculate the least common multiple of s(14) and 18.
18
What is the common denominator of (345/(-275))/(((-8)/(-10))/(-2)) and -33/58?
638
Let n = 57229/9 + -6365. What is the common denominator of n and 26/5?
45
Let o = 229/6 - 41/3. Let i = 85/6 - 47/4. Calculate the common denominator of o and i.
12
Let k = 19 - 15. What is the least common multiple of 2 and k?
4
Let s(r) = 6*r**2 + r - 2. Let g = 48 + -26. Calculate the smallest common multiple of g and s(-2).
220
Let z = 13 - 8. Calculate the least common multiple of 13 and z.
65
Let y = -2/23832967 - 20949176453/18351384590. Let n = 4/55 - y. Calculate the common denominator of n and -63/16.
112
Let z = -258/23 - -1831/276. What is the common denominator of 35/6 and z?
12
Suppose 0 = 4*j + 4*b - 8, 0*b - 8 = -4*b. Suppose t - 2 + j = 0. What is the least common multiple of 12 and t?
12
Let d(z) = 8*z**2 - z - 1. Let q be d(-1). Suppose -4*h + q*h + 8 = 4*w, -5*h + 4*w = 6. What is the lowest common multiple of h and 14?
14
Let i = 2/4531 + -22787/299046. Let x = i + -997/198. Find the common denominator of x and 41/8.
72
Let u = 62 - 42. Suppose 3*i - 4*v - 74 - 2 = 0, 5*v = 5*i - 120. What is the least common multiple of u and i?
20
Let a = 5 - 2. Suppose a*c - 48 = -c. Calculate the least common multiple of 4 and c.
12
Suppose -147 = -6*w + 189. What is the lowest common multiple of w and 44?
616
Let y(s) = s**2 - 5*s - 3. Let m be y(6). Suppose -4*z = -m*z - 14. What is the lowest common multiple of 10 and z?
70
Suppose -3*k + 8 = -2*k. Calculate the least common multiple of -2*(-5)/2 + -2 and k.
24
Suppose 4 = -a + 12. Let o = -12 + 28. Calculate the lowest common multiple of o and a.
16
Let x(y) = -y - 1. Let c be x(0). Let n = 8 - c. Suppose 7*d + 34 = 24*d. Calculate the lowest common multiple of d and n.
18
Suppose -4*w + 4*b = 156, -5*b = 5*w + 130 + 55. Let p = -10282 - -102733/10. What is the common denominator of p and w/(-48) - 2/(-8)?
120
Let c = -4 - -5. Let s = c - -12. Calculate the common denominator of -46/9 and 1/4 - s/(-44).
99
Let o be -3 + 1 + -16 - -3. Find the common denominator of (-3)/6 + (-2 - o) and -79/6.
6
Let o = 8 - 17. Suppose 4*a + 1 = 5. Let h = a - o. Calculate the lowest common multiple of h and 2.
10
Let p = -1/13403 - -898029/37528