.
102
Let k(t) = -t**3 + 7*t**2 + 8. Let l be k(7). Suppose 5*b = -l*i + 3*i - 10, -4 = 5*i - b. What is the lowest common multiple of 2 - 0/(4*i) and 16?
16
Let d be 517/88 - 2/(-16). Suppose -d = 5*j + 4, -j = 2*s - 44. Let z = -5 + s. Find the common denominator of z and 81/2.
2
Suppose 4*y = -5*v + 10, 2*v - v + 14 = -4*y. What is the least common multiple of 32 and v?
96
Suppose 5*x - 5*w = 45, 4*w = -5*x + 1 + 17. Suppose -50*c + 1698 = -802. Calculate the smallest common multiple of x and c.
150
What is the common denominator of -79/4 and (-5 + 6)*715/(-60)?
12
Suppose 0 = -z + 84 - 70. Calculate the lowest common multiple of 112 and z.
112
Let y = -85 + 165. Find the common denominator of 97/4 and -2*(-3)/(-10) - (-232)/y.
20
Find the common denominator of 149/30 and ((-318)/12 + 1)/(-18).
60
Suppose 207 = h - 4*n, -h - 2*n + n = -222. Calculate the common denominator of 34 and (5 - -3 - 4) + h/(-9).
3
Let b be 6*(-14)/(-3)*3. Suppose 101 = -4*h + 3*j, 0 = -5*h + 4*j - b - 41. Calculate the common denominator of (-79)/(-6) + (1 - 3) and h.
6
Suppose 6*x + 5*g = 8*g + 615, -x + 3*g + 100 = 0. What is the lowest common multiple of 8 and x?
824
Suppose 2*y - 10 = -3*y. Let f(r) = r**3 + r + 1. Calculate the least common multiple of 3 and f(y).
33
Calculate the lowest common multiple of (60/(-135))/(111/(-27) - -4) and 16.
16
Let d(i) = -i**2 - 32*i - 234. Calculate the least common multiple of d(-16) and 15.
330
Suppose 2*l = 10, 2*t - 4*l + 23 = 147. What is the smallest common multiple of 4 and t?
72
Suppose 4*a - 3*r - 601 = 0, 0 = 2*a + 4*r - 325 - 3. What is the least common multiple of 56 and a?
616
Suppose 37*f + 441 = 1921. What is the lowest common multiple of 10 and f?
40
Let r(o) = -3*o**2 - 68*o - 50. What is the common denominator of 79/45 and r(-22)?
45
Let n = -1943 + 17548/9. Calculate the common denominator of n and (-18)/(-27) + (-85)/33.
99
Calculate the lowest common multiple of 11 and (15/((-150)/(-8)))/(2/10).
44
Suppose 0 = 11*k - 4*k. Suppose n - 20 + 11 = k. Calculate the lowest common multiple of n and 8/3*(-3)/(-1).
72
Suppose 0 = 3*n + 4*r + 25 + 34, 3*n + 63 = -3*r. Let h = n - -27. Calculate the least common multiple of 18 and h.
18
Let m(x) = x + 2. Let w be m(3). Suppose 0 = -w*q + 4091 + 9109. What is the common denominator of 7/20 and (-8107)/q + (-4)/(-30)?
80
Suppose 6*d = 2*d + 308. Suppose 3*o + 3*t + 6 = 0, -2*o + o - 12 = 3*t. What is the common denominator of 5 - 3 - d/o and -17/5?
15
Let p = 8257458 + -164919503/20. Let n = 11478 - p. Calculate the common denominator of 95/18 and n.
180
What is the common denominator of 131/36 and (-1)/(-40)*((-6 - 81) + -2)?
360
Let n(m) be the first derivative of 2*m**2 - 3*m - 1/4*m**4 - 4/3*m**3 + 6. Find the common denominator of 46 and n(-6).
1
Calculate the least common multiple of (-3 - 1) + 8 + 1 and 9/6*(-8)/(-12)*9.
45
Let s = 28294554277/776936106 + 14/2271743. Let d = s - 636/19. Calculate the common denominator of d and (4/(-180))/(4/1010).
18
Suppose -6*s + 155 - 35 = 0. Calculate the lowest common multiple of s and 642.
6420
Let d be (2 + -3 + 0)*6. Let h = 19733/3848 + -3/962. Calculate the common denominator of 30/8*68/d and h.
8
Let g = 215 - 199. Find the common denominator of g and 9/13.
13
Let t = 90481/5044116 - -1/31724. What is the common denominator of 41/5 and t?
5565
Suppose -3*f + 6 = -f. Suppose 2*h + 0 = 3*p - 5, -5*h + f*p = -1. Suppose h*q = 3*q - 18. What is the smallest common multiple of 2 and q?
18
Let g(b) = -b**3 + 5 + 8*b + 5*b - 8*b + 6*b**2. Let r be g(7). Find the common denominator of 3 + r/12 + -1 and 31/16.
16
Let f(l) = -l**3 + 3*l**2 + l + 7. Let y be f(-5). Let u = -1417/7 + y. What is the common denominator of u and -23/5?
35
Suppose 2*j + 3*j - 40 = -5*v, -5*j - 10 = -5*v. Suppose v*s + 81 + 74 = 0. What is the smallest common multiple of 20 and (-1 - s)*(-24)/(-15)?
240
Let k = -42394440438623021/122778 + 345293460053. Let s = -2/3231 + k. What is the common denominator of s and 1?
38
Let f = 689635/61 - 11305. Let s = 3859/1952 + f. What is the common denominator of s and 97/10?
160
Let x be 2 - ((2 - 305/59) + 3). Let u = x + 841/1652. Find the common denominator of 67/20 and u.
140
Let f(x) = -x - 3. Let q be f(-5). Let z = q - -14. What is the least common multiple of 2 + -1 + (0 - -19) and z?
80
Suppose -13*v = -23*v + 540. What is the smallest common multiple of 90 and v?
270
Suppose 0 = -5*c + 128 - 18. What is the lowest common multiple of (2 + -1)*(-3 - -5) and c?
22
Let c be -3 - (-118)/96*-10. Let a = c - -139/6. Let y = -43/22 - -566/11. Calculate the common denominator of a and y.
8
Let h = 475/18 - 17/9. Let b = 3432/5419 + 15693797/1907488. Let n = -5/352 - b. Calculate the common denominator of h and n.
8
Suppose 6*h = 186 - 24. What is the smallest common multiple of 21 and h?
189
Let b(s) = -s + 18. Let y be b(16). Let g = 274 - 458. Find the common denominator of (y/(-5))/(g/(-9085)) and 87/2.
4
Suppose 672 + 90 = 6*a. Suppose -a*x + 8 = -125*x. What is the smallest common multiple of 10 and x?
20
What is the common denominator of (2/(-12))/(42/(-12))*-46 and 51/49?
147
Let k(u) = -u**3 + 4*u**2 - 2*u + 3. Let q(j) = j**2 + 8*j - 47. Let r be q(-14). Let c = -35 + r. Calculate the smallest common multiple of k(3) and c.
6
Let g = 271722337/480 - 566088. Calculate the common denominator of g and 93/10.
480
Let r be (-730)/(-7) + 4/(-14). Let a = r - 80. Calculate the least common multiple of a and 20.
120
Suppose 11*n - 1968 = -30*n. Calculate the smallest common multiple of 108 and n.
432
Find the common denominator of 9/28 and 2 + 0 + (685/180 - 5).
252
Let z be (1/29)/((-2)/200). Let r = z - 2355/116. What is the common denominator of r and (-123)/(-140) + 44/77?
20
Calculate the common denominator of 29/108 and 5 + (-77)/21 - (-86)/(-96).
432
Suppose 32*t - 350 = 25*t. What is the smallest common multiple of 45 and t?
450
Let o = -2437/576 + 29/64. Find the common denominator of o and -103/24.
72
Let h = -31 + 26. Let o(g) = g**3 + 6*g**2 + 5*g + 8. Calculate the least common multiple of o(h) and 9.
72
Let l(k) = -k**3 - 4*k**2 - 4*k + 4. Calculate the smallest common multiple of l(-4) and 24.
120
Suppose -35 = -3*s + 97. Let z = s - 25. What is the lowest common multiple of z and 2?
38
Let s be 0/1 + 370369/(-36). Let h = -10286 - s. Find the common denominator of 89/60 and h.
180
Suppose 2*g - 14 = -0*g + 4*q, -g + 10 = -q. Suppose u = 5*s - 8, -g = 3*u - 2*s - 2*s. Let n = u + 14. Calculate the smallest common multiple of n and 1.
11
Let g = 34223/11 + -3107. Let b be 1 + (-1)/(-5)*5. Find the common denominator of g and (-87)/(10/5 + b).
44
Suppose k + 5*f = 30, 2*k - 26 = -4*f + 4. Suppose -k*o + 120 = -2*o. What is the least common multiple of o and 12?
120
Let l = 6 + 3. Find the common denominator of (-3)/6 + (-68)/l and (-14)/7 + 2/(-8).
36
Find the common denominator of -83/12 and ((-73)/72)/(20/(-40)).
36
Let y(c) = -53*c**3 + 3*c**2 - 2*c + 1. Let f be y(3). Let w be 25287/(-18) + 0 - 1. Let a = f - w. Find the common denominator of 62/5 and a.
30
What is the smallest common multiple of 2 and (-2150)/(-135) + (-20)/(-270)?
16
Calculate the common denominator of 54/55 and (92/8)/(143/26).
55
Suppose 0 = 3*v - v - 4. Let z = -1929 + 1932. Calculate the lowest common multiple of v and z.
6
Let f = -229619/23670 + 2/2367. Find the common denominator of -91/86 and f.
430
Let h = 11 + -5. Let i(g) = -35*g + 1823. Calculate the smallest common multiple of h and i(52).
6
Let s be 1 + -61022*(-19)/(-126). Let a = s - -9201. Calculate the common denominator of 10/9 and a.
63
Let w(t) = -12*t + 291. What is the smallest common multiple of 141 and w(21)?
1833
Suppose 2*i - 34 = 30. Suppose -5*f + 210 = -5*s, -5*f + s = -0*s - 194. Let k = -18 + f. Calculate the least common multiple of k and i.
160
Let m(q) = -3*q**2 + 36*q - 89. Let o(t) = 2*t**2 - 24*t + 59. Let h(i) = -5*m(i) - 8*o(i). Calculate the lowest common multiple of 10 and h(8).
10
Let l(x) = -10*x. Let t be l(1). Let y be 158/(-14) - t/35. Let s = y - -22. Calculate the smallest common multiple of s and 5.
55
Suppose -4*n + 4*k + 68 = 0, k - 45 = -n - 26. What is the smallest common multiple of 82 and n?
738
Let s(c) = 2*c*