56/11 and r.
4554
Let c = 199524257/432 + -461862. Find the common denominator of -73/27 and c.
432
Suppose f - 10 = -f. Suppose -3 = n - f. What is the lowest common multiple of 2 and n?
2
Let z = 17 - 14. Suppose y = -z*y + 56. What is the lowest common multiple of 1 + 1*39/3 and y?
14
Let b be (10 - (2 + -2))*1. Let c(g) = g**3 - 5*g**2 + g + 6. Calculate the smallest common multiple of -9*3/((-45)/b) and c(5).
66
Suppose 2*y + 2*o - 34 = 0, -2*o = 3*y + 13 - 59. What is the lowest common multiple of (-3)/(6/4) - -26 and y?
24
What is the common denominator of (-62 - -11)*(-6)/84 and 83/22?
154
Let d be 2*134/(-3) - (-12)/9. What is the least common multiple of 13 and 2 + (-9)/5 - d/10?
117
Let k(d) = -56*d + 566. What is the least common multiple of 0 - ((-3)/3 + -2) and k(10)?
6
Let c = -1 + 5. Suppose -7*j = j - 32. Suppose 0 = 3*f - 0*f + j*u + 1, -5*f + 4*u = -9. What is the smallest common multiple of c and f?
4
Suppose y - 1 - 24 = 0. Calculate the least common multiple of y and 180.
900
Let d(h) = 77*h**2 + 2*h + 4. What is the smallest common multiple of 3 and d(3)?
2109
Let x = 17 + -9. Suppose 122*n - 123*n = -7. What is the smallest common multiple of x and n?
56
Let r = 49657 + -31761. Let x = r - 357827/20. Let m = -721/138 - -4/69. Calculate the common denominator of m and x.
60
Let l be 3/((-162621)/54201) - -1. Let m = 1694532/4536493 - -8956322080981/819698920170. Let p = m + l. What is the common denominator of p and 59/2?
10
Let b = 9 + 5. Let c = 17 - b. Suppose 5*u - 38 = -c. What is the smallest common multiple of 8 and u?
56
Let l(r) = -r**3 - 4*r**2 + 3*r - 5. Let t = -34 + 29. Calculate the smallest common multiple of l(t) and 6.
30
Let t be ((-138)/(-48))/((-10)/(-4068)). Let h = -4653/4 + t. Calculate the common denominator of h and 73/34.
170
Suppose 130 + 730 = -5*s. Let p = 202 + s. Calculate the smallest common multiple of p and 22.
330
Find the common denominator of 14 - (-132)/(-1260)*110 and (-746)/210 - 4/(-14).
105
Let d(f) = 7*f**3 - 567*f**2 - 2*f + 165. Calculate the lowest common multiple of 2 + -3 + 7*4 and d(81).
27
Let j = 32 + -16. Let t = 26 - j. Find the common denominator of -61/5 and 288/(-27)*3/t.
5
Let w = 20 + 35. Suppose -w = 4*s - 9*s. Calculate the least common multiple of s and (-2)/2*(2 - 3).
11
Let u(h) = h**2 - 11*h - 27. Let k be u(13). What is the common denominator of (-62)/(-36) + (k - 1*-2) and -15/22?
198
Let j(g) = 21*g - 171. What is the smallest common multiple of 152 and j(19)?
456
Let j = -190/3 - -499/9. Let l = 670 + -7377/11. Find the common denominator of l and j.
99
Suppose 6*q - 346 = 134. Let j = 2/18637 + 577687/559110. What is the common denominator of (-4 + 89/22)*q and j?
330
What is the common denominator of 13/80 and (-758)/(-180) + (-236)/531?
240
Let i = -13 + 15. Calculate the common denominator of (((-176)/(-14))/(-4))/i and -3/10.
70
Suppose 0*x = 2*f - 3*x - 17, 3*x = f - 13. Let m be (-7370)/f*20/5. Let k = m - -147451/20. Find the common denominator of k and 29/12.
60
Suppose -2*k - 23 + 95 = a, 118 = 3*k + 4*a. Suppose 36 = -31*j + k*j. Calculate the least common multiple of j and 20.
60
Let p(c) = -2*c**3 - 7*c**2 - 3*c - 9. Let w be p(-6). Suppose 0 = 5*y + 489 - w. Find the common denominator of 28/5 and -4*9/y - -3.
5
Suppose 31*c = 43*c - 216. What is the lowest common multiple of 36 and c?
36
Let l(b) = 6*b - 12. What is the smallest common multiple of 60 and l(27)?
300
Let s be (-196)/(-6)*(-42)/(-40). Suppose 5*u + 136 = u. Let t = u + s. Calculate the common denominator of t and 79/14.
70
Let c(v) = -992 - 24*v - v + 981 + 23*v**2 + v**3. Calculate the lowest common multiple of 4 and c(-24).
52
Let p = -541/2 - -254. What is the common denominator of (1/(-1))/((-570)/3401) and p?
30
Let t(o) be the third derivative of o**4/24 + 19*o**3/3 - 8*o**2. Let q be t(0). Let u = -18 + q. What is the least common multiple of u and 12?
60
Let j = 2203487/42 - 52461. What is the common denominator of j and 17/48?
336
Let s = 287777/20 + -14384. Let z = 222/31 + -13549/1550. What is the common denominator of s and z?
100
Let x(g) = -17*g**3 - 3*g**2 + 5*g + 3. Let f be x(-3). Find the common denominator of (-65)/8 - 5/20 and (-2718)/f + 4/10.
56
Let w(c) = 2*c**3 - 16*c**2 + 3*c - 14. Let r(s) = s**2 - 8*s - 12. Let v be r(10). What is the smallest common multiple of 36 and w(v)?
180
Let q(m) = -5*m + 15. Let o be q(9). Let d be (-45)/((o/(-4))/(-5)). Find the common denominator of 20/d - 263/(-60) and -95/8.
40
Suppose 5*f + 22 = r, -r + 16 = -4*f - 3. What is the smallest common multiple of r and 226?
1582
Let g = -493949/130 + 3800. Find the common denominator of g and 77/45.
1170
Let m = 31/168 + -1745/504. Suppose 22 = -2*a + 4*p, a - 3*p + 9 = 2*a. Calculate the common denominator of m and a/(-3) + (-7)/26.
234
Suppose 0 = -k + 3, 36 = 4*j + 5*k - k. Let h(q) = q**3 - 13*q**2 - 14*q + 9. Let b be h(14). Let p = b - 7. Calculate the least common multiple of p and j.
6
Suppose 9*l - 17 - 118 = 0. Suppose -4*a + l = a - c, 5*a = 5*c + 15. Calculate the smallest common multiple of a and 1.
3
Let w(i) = 13*i - 12. Let t be w(6). Let l = t - 50. Calculate the smallest common multiple of 28 and l.
112
Let h(i) = i**3 - i**2 - i + 119. Let m be h(0). Suppose -m = -2*y + 97. Calculate the common denominator of 3/2 + 24/y and -25/22.
198
Suppose 2*b = 21 + 25. Suppose -11 + b = 4*h. Calculate the smallest common multiple of 7 and h.
21
Let u = 3/167 - 16885/1002. Find the common denominator of u and 25/234.
234
Suppose -4*k = -l - 2, 15 = -4*l + l + 3*k. Let f = l - -16. What is the lowest common multiple of 20 and f?
20
Suppose -49 = -5*q + 31. Let l = 18 + -5. Let x = 33 - l. Calculate the least common multiple of q and x.
80
Let k(r) = 9*r**2 + 4*r - 2. Calculate the lowest common multiple of 18 and k(-2).
234
What is the common denominator of (2/(-44))/((-42)/(-4662)) and 41/236?
2596
Suppose -144 = -7*k - 25. Let v be 1/3 - 25/(-15). Suppose v*p - 31 = -x, 6*p - 5*p - x = k. Calculate the smallest common multiple of 22 and p.
176
Let w(o) = -57*o + 1. Let z be w(1). Let c = -16 - z. Suppose -4*v - c = -9*v. Calculate the smallest common multiple of v and 10.
40
Suppose -4*h - 9 = -13. What is the smallest common multiple of 6 and 2 - (3 + (-24 - h))?
24
Let k(p) = -37*p + 795. What is the least common multiple of k(-10) and 5?
1165
Let y = -231899/22 + 10545. What is the common denominator of y and -39/11?
22
Let x(q) be the first derivative of 5*q**3 - q**2/2 - 1. Let o = -44305 - -44313. Calculate the lowest common multiple of o and x(-1).
16
Let v = -2 + -13. Let z = -7 - v. Suppose -33 = -7*a - 5. Calculate the lowest common multiple of z and a.
8
What is the common denominator of (-1)/4 - 191/(-4) and (-10)/6*(-65065)/7150?
6
Let r be (36327/111564)/(-1 - (-550)/606). Let z = -3/16528 + r. What is the common denominator of -29/27 and z?
189
Suppose 6*z + 11*z - 170 = 0. Suppose 0 = 4*b - 2*p - 94, -2*b - 2*p = -0*p - 38. What is the least common multiple of z and b?
110
Let d = 87 + -165. Calculate the smallest common multiple of d/(-12) - (3/(-2))/(-1) and 1.
5
Suppose 2*p + 32 = 4*g, 44 = 4*g - 7*p + 8*p. What is the smallest common multiple of g and 64?
320
Let f be 1421*3/60 + (-2)/(-5). Let n = -301/4 + f. Calculate the common denominator of n and (476/30)/((-4)/3).
10
Let n = 38 + -30. Calculate the common denominator of -3/5 and 34/(-9) - n/(-36).
45
Let o = 26/73 + -5755/1606. Calculate the common denominator of o and (-182)/16 + (-28)/(-7).
88
Let r = -56/23 - -2717/483. Calculate the common denominator of -16/27 and r.
189
Let g(v) = -v**3 - 14*v**2 - 2*v - 12. Suppose m - 6*m - 78 = 2*f, -f = -5*m - 66. Calculate the lowest common multiple of g(m) and 22.
176
Suppose 5*h - 6*n = -11*n + 60, -5*h - 2*n = -72. Calculate the lowest common multiple of 7 and h.
112
Let s = 44745687 + -715649253/16. Let h be (4/(-4))/((-2)/(-35230)). Let v = s + h. What is the common denominator of -47/32 and v?
32
Let c(w) = 207*w + 22. Let t be c(6). Let a = t - 17685/14. Find the common denominator of 21/6*(-22)/(-20) and a.
140
Let h(v) = -7*v - 10. Let k be h(-4). Suppose u - 4*x = k, 2*u + 1 = -2*x + 17. What is the lowest common multiple of u and 1