e -2*t + 42 = 8. What is the least common multiple of 11 and t?
187
Suppose -6*c + c = 0. What is the common denominator of (50/4)/((-3)/5) and c - ((-15)/(-4) - -2)?
12
Suppose -x + 5 = -0*x. Suppose -5*q - 3*f + 12 + 31 = 0, x*f = -20. Let c = 5 + 2. Calculate the smallest common multiple of q and c.
77
Let q = 275 + -1949/7. What is the common denominator of q and (-86)/(-6) + 0 - -1?
21
Suppose 3*b + 5*k - 15 = 2*b, 0 = b + k - 15. Calculate the least common multiple of b and 3.
15
Let c = -1499 + 29951/20. Find the common denominator of 21/10 and c.
20
Suppose 3*l - 20 = -a, -2*a = 3*l + 2*a - 26. Calculate the lowest common multiple of (-228)/(-108) + ((-6)/(-27))/(-2) and l.
6
Let o = -1640 - -11450/7. Calculate the common denominator of o and -13/2.
14
Let p(h) = -h**3 + 2*h**2 - 1. Let k be p(1). Suppose 2 + k = x. Find the common denominator of -51/4 and 745/84 + x/(-7).
12
Let x = -39 + 49. Calculate the least common multiple of 26 and x.
130
Suppose 0*r + i = r - 11, -15 = 3*i. Suppose b - 5*b = -8. Calculate the least common multiple of b and r.
6
Let v = -7 + 20. Calculate the smallest common multiple of v and 1.
13
Suppose d - 10 = -4*d. What is the lowest common multiple of -2 + (12 - d)/2 and 11?
33
Suppose -3*v = 4*y - 24 - 23, -5*v - 43 = -2*y. Find the common denominator of (-4 + 2)/(y/(-31)) and 25/11.
77
Let q(k) = -k**2 + 5*k + 2. Let c be q(5). Suppose -3*i - 4*f = -f + 3, i = -c*f - 1. Calculate the common denominator of (-534)/(-24) + i/2 and 47/10.
20
Suppose -4*a + 390 = -a. Find the common denominator of -113/12 and ((a/(-4))/(-1))/2.
12
Let q = 12300/13 + -149563/156. Let g be 2/(-3)*3 + 42. Calculate the common denominator of q and ((-534)/g)/(-3) + 1.
60
Let q(s) = -s**3 + 9*s**2 - 3*s + 6. Let t be q(4). Let g = 84 + t. Find the common denominator of g/28 + (2 - 2) and -31/12.
84
Let b = 101/99 + 9781/990. Find the common denominator of (-2)/(12/(-3)) + (-791)/(-252) and b.
180
Let b = -131481/10690 + -3/5345. Calculate the common denominator of b and 17/2.
10
Let i be -9*(-3 + 4) + -1. Calculate the lowest common multiple of 10 and i/(-55) + 304/22.
70
Let c = 6953 - 1022059/147. Let p = 2383/3234 + c. Let u = 13121/4 - 3262. Calculate the common denominator of u and p.
44
Let h be 4/16 + 1647/20. Let b = 76 - h. Find the common denominator of b and -70/3.
15
What is the common denominator of 109/10 and (-10)/60 + 179/66?
110
Suppose 165 = 2*l + 1341. Calculate the common denominator of (-1414)/l + 1/(-3) and (22/10)/(18/(-65)).
126
Let s be 0/3*3/(-6). Suppose -4*b + 10 = -i, b = 2*i - s*i + 13. What is the common denominator of 273/18 + (-2)/i and -101/14?
14
Let j = -444 + 3950/9. Find the common denominator of (-394)/72 + (-1)/(-4) and j.
9
Let n(z) = -7*z - 3. Let v be n(-2). What is the smallest common multiple of v + (0/3)/(-2) and 10?
110
What is the smallest common multiple of 14 and (-106)/(-6) - 6/(-18)?
126
Let s = 0 - 1. Let a = s - -19. Calculate the least common multiple of a and 18.
18
Suppose -w + 3 = -0*w. Calculate the least common multiple of w and 4/1 + 1 - -2.
21
Let o = -11867/6 + 1989. Find the common denominator of o and 91/2.
6
Find the common denominator of -64/9 and 38/(-11)*(-4)/(-4).
99
Suppose -2*l - 3 = -3*z - 1, 0 = 3*z - 4*l + 8. Suppose 2*w + 18 = 6. Let p(t) = -t**3 - 5*t**2 + 2*t - 2. Calculate the smallest common multiple of p(w) and z.
44
Let s = 1014394742921/11344 - 89421257. Let b = s + 2/709. Calculate the common denominator of -17/20 and b.
80
Suppose -2*p = 2*p - 24. Calculate the smallest common multiple of (-8 - -11)/(p/40) and (-3)/6 - (-34)/4.
40
Suppose -3*f = -8*f - 135. Let z = f - -45. Let u(h) = h**3 + 2*h**2 - h. Calculate the least common multiple of u(-2) and z.
18
Let l(r) = -1 + 2 - 2 + r - 8. Find the common denominator of -39 and l(7).
1
Suppose -2 = -3*z + 5*z. Calculate the common denominator of -29 and z/(-1)*1/(-10).
10
Let m(i) = i + 1. Let q be m(5). Let z be (3 - 5)/((-4)/q). Suppose 0 = -z*d + 2*d + 8. What is the least common multiple of 16 and d?
16
Let x = 2 - 0. Suppose 4*z + 3*d = 3, -z - x*d - 1 = 2. Calculate the smallest common multiple of 1 and z.
3
Let h = 3 - 1. Suppose 3*n = h*o + 22, -4*n + n + 23 = -o. What is the smallest common multiple of 1 and n?
8
Suppose 38*p - 12 = 42*p, 5*o - 6 = -3*p. Let x = 10 - 4. Calculate the least common multiple of o and x.
6
Let u(n) = -n + 8. Calculate the least common multiple of u(4) and 18.
36
Suppose 11 + 7 = 3*l. Suppose 2*q + 0*b = -4*b, 3*q = 2*b. What is the lowest common multiple of l and 16 + (0 + q)*1?
48
Suppose 3*i - 2*n + 3 = 2, 22 = -i + 5*n. Calculate the smallest common multiple of (-1 - (2 - i)) + 6 and 16.
48
Let f = -6983/1860 - -2/465. Let c = 140/3 - 947/21. Find the common denominator of f and c.
28
Suppose -4*j = 3*s + 24, -5*s + 2 = -j + 19. Let v = j - 6. What is the lowest common multiple of v/2*4/(-3) and 1?
6
Calculate the common denominator of -76/9 and (-82)/(-126) - (7 + (-140)/21).
63
Let g = -45/17 - 43/170. Suppose 3*w + 44 = -46. Find the common denominator of (-6)/40*(w + 4) and g.
10
Suppose 3*t - 20 = 5*u - 3, -2*u + 6 = 2*t. Suppose b = -b + 20. What is the lowest common multiple of b and 4 - t*(-1)/(-2)?
10
Let q(y) = y**2 + 4*y - 3. What is the lowest common multiple of 16 and q(-7)?
144
Let u be (147/(-2))/(3/(-4)). Suppose 3*x + 20 = u. Calculate the least common multiple of -4*(x/(-4) + 2) and 8.
72
Let o = -541 - -7645/14. What is the common denominator of o and 39/178?
1246
Let m be -60*(42/9 - 2). Let z be (1*-26)/(m/171). Let o = z - 283/16. Find the common denominator of 23/8 and o.
40
Let t = -2454 + 19591/8. What is the common denominator of t and -1/22?
88
Calculate the common denominator of 2*9/(-48)*(-3)/(-9) and -41/3.
24
Let d be (-6)/9 + (-5788)/(-328). Let t = d - -35/41. What is the common denominator of 61/4 and t?
12
Calculate the common denominator of -25/22 and ((-278)/(-15))/(36/45).
66
Let j = -695/78 - -66/13. What is the common denominator of (-4)/6 - (-87)/18 and j?
6
Suppose 2 = 3*a - 5*h + 5, 6 = 3*a - 2*h. Suppose -p = a*p - 100. Calculate the smallest common multiple of 10 and p.
20
Let u = -96393/16 + 6021. Find the common denominator of u and (-1 - -2) + 380/72.
144
Let t = 667/5 + -121. Calculate the common denominator of t and -5/39.
195
Calculate the common denominator of (-201)/57 - -2 - 0 and -20/7.
133
Let w = 34333/10 + -3425. What is the common denominator of 29/(-20)*(-26 + 23) and w?
20
Let l = 7 + -4. Suppose 11 + 43 = l*t. Suppose 3*d + 42 = 6*d. Calculate the lowest common multiple of t and d.
126
Let f(s) = 7*s + 2. Let j be f(-2). Let o(c) = c**3 + 12*c**2 - c. Calculate the lowest common multiple of o(j) and 6.
12
Let m = -11 + 15. Let v(i) = i**3 + 6*i**2 + 7*i + 6. Calculate the least common multiple of m and v(-4).
20
Suppose 22 = -2*g - 5*m, 5*m - 3 - 7 = 0. Calculate the common denominator of (-11)/33 + g/3 and -16/7.
21
Let f(k) be the second derivative of -k**3/2 - 5*k**2/2 - k. Calculate the smallest common multiple of 6/(-4)*(-2)/3 - 0 and f(-5).
10
Suppose 1 + 0 = -g. Calculate the common denominator of 46 and (g - 48/(-11)) + -3.
11
Suppose 2*m = m + 29. Let o = -21 + m. What is the lowest common multiple of 7 and o?
56
Suppose 0 = -q + 5*g - 2, -11 = 2*q - 5*g + 3. Let p(u) = 2*u - 4. What is the least common multiple of p(5) and -5 + 3 + q/(-1)?
30
Find the common denominator of 248/(-6)*(405/280)/9 and -97/6.
42
Let o(h) be the second derivative of -2*h - 5/2*h**2 + 0 - 5/6*h**3 + 1/12*h**4. What is the smallest common multiple of o(6) and 6?
6
Let r = -34/59 + 6027/118. What is the common denominator of 67/12 and r?
12
What is the least common multiple of 15/(-3)*(-4)/10 and 16?
16
Suppose 7 + 13 = 2*o. Suppose -26 = -3*y + 5*a, 6*a - 3*a = -3. Calculate the least common multiple of o and y.
70
Let z be 3/3 + (-2 - -3). Suppose -4*i - 2*t = -7*i + 4, -z*t - 4 = 0. Suppose -4*g + i*g = -56. Calculate the least common multiple of 4 and g.
28
Suppose -4*f + 9*f = 0. Suppose f*p + 19 = 2*p + n, 13 = p - 3*n. Suppose -3*j + j = -p. What is the smallest common multiple of 7 and j?
35
Let p be (21/(-12))/((-1)/44). Find the common denominator of 35/11 and 8/(-44) + (-338)/p.
77
Suppose -4*f +