- 2*y - 201. Find the common denominator of y*3/60 + 3 and 25/2.
20
Suppose 24*d - 180 = 19*d. Calculate the least common multiple of d and 16.
144
Suppose 2*r - y = -3*r - 27, 2*y = -r - 12. What is the lowest common multiple of 28/6 + 4/r and 81/(-6)*(-8)/6?
36
Let c(j) = -j**3 - 4*j**2 + 6*j + 5. Let o be c(-4). Let v = 11 + o. Calculate the common denominator of (-2 - 17/v)*-47 and -9/20.
40
Let a = -165158179/30 - -5506458. Let t = a + -3527/3. Find the common denominator of t and -74/9.
90
Suppose 1 = -m - 17. Calculate the common denominator of (-159)/(-9)*m/(-60) and -83/18.
90
Let n = -11 + -4. Find the common denominator of n and 59/5.
5
Let g = 4 - -10. Suppose 2*o + g = 4*o. Calculate the smallest common multiple of o and 11.
77
Suppose -5*a + 54 + 16 = 0. Let u(w) = 6 - 5*w + 5 - 10. Calculate the smallest common multiple of a and u(-1).
42
Find the common denominator of -15/4 and 11/(-33) - (-298)/30.
20
Let m(l) = 5*l**3 - 2*l + 1. Suppose 0*g + 2*g + 14 = 0. Calculate the least common multiple of (1/(-1))/(g - -6) and m(1).
4
Suppose -4*b = 5*x - 12, -x + 4*x + 6 = 2*b. Suppose 5*i - 5*j = 0, b*j = -2*i + 4*j - 3. Let c = i - -5. What is the lowest common multiple of 2 and c?
2
Let c = -3/374111 - -9259621391/3741110. Let j be 8/20 + 14/(-10)*1771. Let y = c + j. Find the common denominator of y and -31/10.
10
Let d(n) = -16*n + 1. Find the common denominator of d(2) and 15/11.
11
Suppose -2*o = -6 - 0. What is the least common multiple of o and 3?
3
Let v(q) = 12*q - 1. Let n be v(-2). Suppose 3*y = -4*r - 2*y - 40, r = 4*y - 31. Let m = r - n. What is the smallest common multiple of m and 14?
70
Suppose -3*g = 2*g. Suppose g = -4*a + 2*a + 8. Suppose 5*b = -5 + 25. Calculate the smallest common multiple of a and b.
4
Let c(v) = -3 - 2 - 6*v**3 + 8*v - 8*v**2 + 5*v**3. What is the smallest common multiple of 2 and c(-9)?
4
Suppose 12 = 3*l, 3*o + 2*o + 8 = 2*l. Suppose 25 = 5*f, -2*v + 0*v - 4*f + 52 = o. Calculate the least common multiple of 14 and v.
112
Let s = 255 - 2023/8. Find the common denominator of s and 57/2.
8
Let i = 122 - 116. Suppose 0*s + 2*s + 6 = 0, 25 = 5*g - 5*s. Calculate the smallest common multiple of i and g.
6
Suppose -5*z + 14 = -3*m, 0 + 14 = 3*m + 2*z. What is the least common multiple of m and 11?
22
Calculate the common denominator of 4/(-7) - 930/(-140) and 4/72*303/2.
84
Let x = 5 + 5. Suppose -t = -5*h + x, -2*h = -0*h + 4*t - 26. What is the least common multiple of 3 and h?
3
Let m be (-1)/3*(-2 + -16). What is the common denominator of ((-18)/7)/((-20)/28) and (-58)/(-10) - (5 - m)?
5
Suppose 4*x = -x + 50. Calculate the lowest common multiple of x and 6.
30
Let n = -1439/186 - -28/31. Calculate the common denominator of n and -59/16.
48
What is the smallest common multiple of 6 and (-4)/(-22) - ((-10)/(-55) + -5)?
30
Let p(z) = z**3 - 2*z**2 - 5*z + 4. Let d be p(4). Find the common denominator of 21/10 and (-12)/d + (-225)/(-44).
110
Let l = -21 + 24. What is the smallest common multiple of l and 1?
3
Let s = -203 - -61. Calculate the common denominator of -1 - (2 - s/(-8)) and ((-189)/(-56))/(2/(-24)).
4
Suppose -4*s = 5*g - 83, 3 - 107 = -5*g + 3*s. Let w = -11 + g. Suppose -3*k + 6*k = 21. What is the smallest common multiple of w and k?
56
Let q = 24 + -14. Suppose -j = -4*x - 0*j + 21, -x + 9 = -j. Calculate the least common multiple of (63/12)/7*x and q.
30
Suppose 3*d = -12, 0 = -4*g + 3*d - 10 + 38. Suppose v + g = 8. Find the common denominator of -97/16 and ((-20)/(-42)*-3)/v.
112
Let c = -24 - -31. Let h(v) = 3*v - 2. What is the least common multiple of h(3) and c?
7
Let s be (-1)/4 + 8223/7884. Let d = 7/73 + s. Let x = -641/18 - d. Calculate the common denominator of -50 and x.
2
Suppose 534731 = 3*p - 2881327. Let w = p - 22781897/20. Let l = -406 - w. What is the common denominator of l and -103/14?
140
Let s = 16 - 82. Let o be (2 - 1)*20*1. Calculate the common denominator of 0 + 2 - s/o and -25/4.
20
Let n = -3/4675 - -963071/32725. Let p = n + -999/28. Calculate the common denominator of p and (84/27)/(-2) + 0.
36
Let z(v) = 2*v - 5. Let x be z(4). Suppose -x*r - i = 1 - 7, -i + 3 = 2*r. What is the lowest common multiple of r and 8?
24
Let y be ((-2)/(-1) - 1)*0. Suppose 4*z = -y*z + v + 24, 0 = -3*z - 3*v + 3. Calculate the lowest common multiple of z and 11.
55
Let n = 5 + -3. Let g(b) = b**2 + b - 1. Let v be g(-3). Suppose -v*q + 44 + 16 = 0. Calculate the lowest common multiple of n and q.
12
Suppose -2*b = -3*b + 6. Let y(k) = -4*k + 6 + 2*k - 6*k. Calculate the common denominator of 55/4 and y(b).
4
Let c(x) = -8*x**2 + 7*x + 5. Let v be c(-2). Let o(m) = -3*m + 4. Let a be o(4). What is the common denominator of v/10 - (a + 11) and -58/5?
10
Let z(k) = 19*k**2 + 2. Let a be z(3). Calculate the common denominator of 1/(-3) + (-118)/(-6) and 21/63 - a/(-30).
30
Let t be -5*(-1 - 2*-2). Let w = t - -55. Find the common denominator of 85/6 and w.
6
Let f = -8 - -14. Calculate the lowest common multiple of 2 and f.
6
Let t = 3 + -3. Suppose -2*m + 1 + 7 = t. Suppose 5*l - 40 = 3*l. What is the least common multiple of l and m?
20
Let h = -1388 - -4093/3. Let v = 2513 - 25091/10. What is the common denominator of h and v?
30
Calculate the least common multiple of (3/(-2))/(15/(-140)) and 12.
84
Let r = 15 + -3. Find the common denominator of 83/(-8) + (-3)/12 and (-466)/(-24) + 3/r.
24
Let d(w) = w**3 - w + 1. Let m(b) = -2*b. Let c be m(-1). Suppose -2*z - 2*t = -c, 4*z - 6 = -t + 4. Calculate the lowest common multiple of z and d(1).
3
Let i = 49 - 37. Let x(f) = -f**3 + 8*f**2 - 10*f + 6. What is the least common multiple of x(6) and i?
36
Let l(a) = -115*a**2 + 6*a + 2. Let q be l(7). Let w = 33623/6 + q. Find the common denominator of w and -10/7.
42
Let f(g) = g**3 + 12*g**2 - 14*g - 11. Let v be f(-13). Suppose 0*s - 27 = -3*s + v*i, s + i - 14 = 0. Calculate the lowest common multiple of 8 and s.
88
Let y = -64 - -75. Calculate the lowest common multiple of 3 and y.
33
Suppose 2*i = 3*i. Let k(j) = -j**3 + 6*j**2 - j + 8. Let c be k(6). Suppose i = -5*n + 32 - c. Calculate the least common multiple of 3 and n.
6
Let x be (-34)/(-3) - (-6)/9. What is the common denominator of -19 and ((-62)/x)/(-2 - -1)?
6
Suppose -2*s = -0 + 2. Calculate the common denominator of 48/11 and 114/(-32)*(s + -1).
88
Suppose 7 = 2*o + 3*k, 5*o + 2*k - 40 = -k. Let r = -3/19 + 831/209. What is the common denominator of 74/o*(-3)/6 and r?
11
Let n(x) = x + 6. Suppose 6*o - 11 = 3*o - j, 0 = -4*o + 2*j + 18. Suppose o*z + 4 = 20. What is the least common multiple of n(6) and z?
12
Let m be 1178/(-332) - (-2)/(-4). Let f = m - 7837/996. What is the common denominator of f and (110/(-48))/(2/6)?
24
Let u(c) = 5*c**2 + c - 2. What is the lowest common multiple of 8 and u(-2)?
16
Let p(q) = q**2 + 2. Let m(h) = h**3 - h**2 - 2*h + 3. Let r be m(2). What is the smallest common multiple of 8 and p(r)?
88
Let q = 2739/26821 + -313706187/35269615. Let d = q + -2/263. What is the common denominator of 8/30*(-175)/6 and d?
45
Suppose j - 8 = -3*j. Let a = 13 - -1. Calculate the least common multiple of j and a.
14
Let n be (-2)/6 + (-562)/(-3). Let w be -4 - 4/(16/930). Let r = w + n. Calculate the common denominator of r and -11/7.
14
Suppose 0*q = 4*q - 64. Suppose -4*g - 11 = -35. Calculate the least common multiple of g and q.
48
Let b(w) = w + 4. Let t = -11 - -11. Calculate the lowest common multiple of b(t) and 4.
4
Let h = -15 - -9. Let z be 9/(-35)*(-1425)/h. Let a = -158/7 - z. What is the common denominator of -41/6 and a?
6
Let x be 5 + -6 + (-3250)/24. Let m = 869/6 + x. Calculate the common denominator of m and -49/16.
48
Let r be (12/(-8))/((-9)/24). Suppose 4*k + f - 16 - 24 = 0, 0 = r*k - 3*f - 40. What is the least common multiple of k and 9?
90
Suppose -5*t + 4*k + 52 = -3*t, 0 = -3*k - 9. Let r(y) be the first derivative of y**3/3 + 4*y**2 + 7*y - 5. What is the least common multiple of t and r(-9)?
80
Suppose 16 = 4*o - 28. Let x(w) = 2*w - 13. Let f be x(9). Suppose t = 6 + f. What is the lowest common multiple of t and o?
11
Let c = -157/124 - 15/31. Calculate the common denominator of -87/4 and c.
4
Let b(w) = -4*w**3 + w**2 + 2*w + 1. Let x(q) = -q**2 + q + 1. Le