12 and p.
3432
Let d(r) = -r**3 - r**2 - r + 4. Let p be d(0). Find the common denominator of -63/8 and (-5)/((-90)/p) + 1092/432.
8
Let x(m) = -11 + 4*m**2 + 10 - m**2. Suppose h - 1 = -0*h. Calculate the least common multiple of 4 and x(h).
4
Let m = 830583/140 - 11865/2. What is the common denominator of m and -76/21?
420
Let k(r) = 7*r - 9. Let u be k(2). Suppose 4*l - 5*z = -0*z + 53, -u*z = 5. Suppose 0 = -h + 6*h - 20. What is the smallest common multiple of l and h?
12
Let z(j) = -18*j + 2. Let r be z(1). What is the lowest common multiple of 55/7 + r/(-112) and 294/21 - (0 + -2)?
16
Let n be (12/(-4) - -5)*-1. Let u = 1417 + -9890/7. Find the common denominator of (-39)/(-5) + 1 + n and u.
35
Let c(h) = h - 7. Let g be 5/(-5)*-10 - -2. Calculate the least common multiple of c(g) and 10.
10
Calculate the common denominator of 319485/171836 - ((-2)/7)/(-1) and -33/221.
884
Suppose 12 = -3*t, 26 = -0*y + y - 4*t. Let r = -4 + 6. Suppose 4*h - 5*l = 89, h + 0*h - r*l - 26 = 0. Calculate the least common multiple of y and h.
80
Let u = 32 + -65/2. Let v = 659/912 + -2/57. What is the common denominator of u and v?
16
Let z(v) = v + 2. Let u(i) = 2. Let c(l) = 2*u(l) - 3*z(l). Let t be c(2). Calculate the lowest common multiple of 8 and (-54)/t + 3/12.
56
Suppose 4*t = 55 - 3. Let r = -35/2 + t. Find the common denominator of r and (-546)/231 - 10/4.
22
What is the least common multiple of (-12 - -7)*(-216)/20 and 114?
1026
Let w = 61009/360470 + 1/32770. Let r = 14659/5742 + w. Find the common denominator of r and 163/30.
90
Let f = -6053/3240 - 37/81. Calculate the common denominator of f and -31/236.
2360
Let j = 3181838 - 19049563/6. Let x = -6892 + j. Find the common denominator of x and -43/2.
6
Suppose -5 = 4*f + 7, 3*f + 21 = l. Calculate the least common multiple of 9 and 6/l - (-9)/2.
45
Let x = -8 + 11. Suppose 0 = -3*m + m - 5*a + 29, -x = a. Suppose 2*t - 50 = -5*w, 7 = -w + 9*t - 6*t. What is the least common multiple of m and w?
88
What is the least common multiple of (32/(-14))/(6 + 1644/(-273)) and 24?
312
Let i = 8141189/274 - 29712. Calculate the common denominator of 31/6 and i.
822
Let v = 2736 + -54819/20. Find the common denominator of -99/152 and v.
760
Let m(f) = 11*f - 39. Let x(t) = 32*t - 118. Let g(n) = -8*m(n) + 3*x(n). What is the lowest common multiple of 42 and g(6)?
42
Let x = -139 - -102. Suppose 0 = 4*v + v - 265. Let s = x + v. Calculate the smallest common multiple of 12 and s.
48
Let j = -440 + 560. What is the smallest common multiple of j and 24?
120
Let n = -3021 - -48357/16. Let a = -2909/2 + 1505. What is the common denominator of n and a?
16
Let m = 1/17 - -10/119. Let l = 1260 + -1919. Let v = -1237/2 - l. Find the common denominator of m and v.
14
Suppose 2 + 12 = 2*i. What is the lowest common multiple of i and -2 + (-1 - -3) - -11?
77
Let g = 2208817/204900 + 1/40980. Let d = g - 662/25. Let x = d - -15. Calculate the common denominator of -69/4 and x.
20
Let n = 238323 + -3820689/16. Let i = -475 - n. Let b = 87683/22 - 3987. Calculate the common denominator of i and b.
176
Let p(t) = -20*t + 370. What is the lowest common multiple of 270 and p(16)?
1350
Let x be (0 - (6 - 1))/1. Let f(d) = d**3 + 11*d**2 - 8*d - 12. Let q be f(-12). Find the common denominator of 153/q*x/(-2) and -35/6.
24
Let v = -92202 - -4793709/52. Let l = v - 84/13. Find the common denominator of l and 26/(-22) + (-1 - -4).
44
Let a be (-18)/6 + 390/123. Let x = a - 383/82. Calculate the common denominator of x and -34/5.
10
Suppose 0 = -m - 5*h + 111, 14*m - 13*m + h - 99 = 0. What is the least common multiple of 156 and m?
1248
Let h = 74869/21288 - 52/887. Find the common denominator of -87/20 and h.
120
Let s(j) = 7*j**2 + 3*j + 1. Let v be s(2). Let h = v - 27. What is the lowest common multiple of 26 and h?
104
Let d(g) = g**3 - 2*g**2 + 3*g - 4. Suppose 6*n - 16 - 2 = 0. What is the lowest common multiple of d(n) and 2?
14
Suppose -b + 2*b - 5 = 0. Suppose 8 = 3*v - 2*y, v - 5*v = -y - 19. What is the least common multiple of (-22)/v*-1 - (-2)/(-3) and b?
15
Let n = 1625 + -12995/8. Find the common denominator of n and -39/1619.
12952
What is the common denominator of (-3)/(72/(-15))*12 and (-1856)/(-96)*(-2 - 93/(-42))?
14
Let z be (2359/5)/(4/10). Let a = -1223 + z. What is the common denominator of -89/20 and a?
20
Calculate the lowest common multiple of 88/(-242) - (-2670)/22 and 99.
1089
Let u(t) = 4*t - 2*t**2 + t + t**2. Let d(b) = b - 4. Calculate the lowest common multiple of d(8) and u(4).
4
Let p(v) = v - 4. Let b be p(9). Suppose 3*j = 2*j - 4*w + 9, -j + 10 = b*w. What is the least common multiple of j and 2?
10
What is the least common multiple of 2 + -1 + (1470/7 - -3) and 4?
428
Let q be (48/18 - (1 + 1))*-108. Calculate the common denominator of 19/(q/(1 + -5)) and 51/4.
36
Calculate the common denominator of (-46)/(2/(-1)*4) and 116/(-6) + 3/(-6).
12
Let t = 51 - 18. Suppose 3*u - 24 = -3*n, -5*n - 4*u = -6*n + 13. Calculate the smallest common multiple of n and t.
99
Let q = -196 - -226. What is the smallest common multiple of 9 and q?
90
Let i(r) = -r**2 - 4*r + 3. Let n be i(-4). Suppose 0 = -4*g + 2*m - n*m + 41, 2*g + 4*m = 38. Calculate the lowest common multiple of g and 5.
45
Let j(o) = -o**2 - 9*o - 6. Let n(f) = 15*f - 110. What is the smallest common multiple of j(-7) and n(8)?
40
What is the least common multiple of -14*22/(-6)*(-21)/(-7) and 140?
1540
Let a = 2879/48 + -1145/16. Find the common denominator of (1020/(-66) + 8)/(-1*4) and a.
132
Suppose 2*s - 64 = -2*l, -9*s + 13*s + l = 131. Calculate the lowest common multiple of 231 and s.
231
Let n(l) = 2*l - 14. Let h be n(9). Suppose 60 = -h*q + 156. Calculate the smallest common multiple of 16 and q.
48
Suppose 5*t + 464 - 164 = 5*q, -q = t - 58. Let s = q + -48. What is the lowest common multiple of 13 and s?
143
Let l be (8/14)/(1440/7024). Let c = l - -26/63. Find the common denominator of 149/18 and c.
90
Let y(v) = -v**3 + 4*v**2 + 2*v - 6. Let g be y(4). Suppose g*c = -c - 6. Find the common denominator of 6 - 205/(-20) - 3 and c.
4
Suppose -4*s + 2*b - 6 = 0, 3*b - b = -2*s + 12. Let j = -575 + 6955/12. Calculate the common denominator of j and (-2)/s - (-164)/(-32).
24
Suppose 2952 = 13*p + 664. What is the least common multiple of p and 9?
1584
Let u(b) be the first derivative of -5/3*b**3 + 1 + b + 1/2*b**2 + 1/4*b**4. Calculate the least common multiple of u(5) and 11.
66
Suppose 0 = 2*f - 4*j, -3*j = -4*j - 3. Let k(q) = 4*q + 4. Calculate the least common multiple of (-147)/f - 6/(-4) and k(4).
260
Suppose 5*w + 57 = 2*t, -3*w - 43 - 52 = -5*t. Calculate the lowest common multiple of (3 - 2 - -25) + (-4)/(-2) and t.
112
Let k(i) = i + 5. Let v be k(-2). Let d be (-204)/(-8) + v/(-2). Suppose 0*x + 4*o + d = 4*x, o = 5. Calculate the lowest common multiple of 11 and x.
11
Suppose 16*t = 15*t - 72. What is the common denominator of -145/18 and 0 + -1 + (-471)/t?
72
Suppose 0 = -i + 5*i - 14784. Let v = 22231/6 - i. Find the common denominator of 4/(-50)*((-945)/28)/1 and v.
30
Suppose 17*p - 22 = 97. Suppose 2*d - 6 - 2 = 0. What is the least common multiple of d and p?
28
Let f(m) = 56*m - 556. Suppose 0*n - 20 = -2*n. Suppose -o - 4 = -n. What is the least common multiple of o and f(10)?
12
Let x = 95 - 51. Suppose -4*s + x = -4*n, 3*n = -0*s - s + 7. What is the least common multiple of s and 10?
10
Let g = -43570 - -2265727/52. Find the common denominator of -46/13 and g.
52
Let r = -20 + 44. Let v = r - 16. What is the smallest common multiple of v and -1*(2 - 0) - -6?
8
Let r(c) = c**2 - 7*c - 18. Let n be r(11). What is the common denominator of n/8*238/(-187) and ((-252)/16)/9*1/5?
220
Find the common denominator of 2/(-440)*1725/(-120) and -23/264.
1056
Suppose 2*c - 243 = 117. Calculate the common denominator of ((4/105)/2)/(9/c) and 107/24.
168
Let d = 96 + -67. Suppose 2*u + d = 3*r, -2*r = -6*r + u + 32. Let i(s) = 8*s + 4. What is the lowest common multiple of i(r) and 22?
660
Let l be -4*(-3 - 9/(-6)). Calculate the common denominator of (186/(-8))/(30/4) and (-2 - -3)/(l/(-71)).
30
Let p = 13 + -8. What is the least common multiple of p and 1 - -12 - 10/5?
55
Let x(f) = -f**3 + 4*f**2 + 3*f - 5.