, -5*m + 3 = 5*d - 7. Suppose d*u + 5*u - 10 = 0. Calculate the lowest common multiple of u and 20.
20
Let x = -14 - -25. Suppose x = w + 2*n, -4*n - 63 = -3*w - 0*n. Suppose -f = w - 33. What is the least common multiple of 4 and f?
16
Let z = 26 - 14. Suppose 4*w = 3*w + z. What is the smallest common multiple of (10 + -2)*(-9)/(-36) and w?
12
Suppose 4*u - 5*i = 86, -5*u - 5*i = -31 - 54. Suppose -3*k - k = o - u, 0 = -4*o + 5*k + 13. What is the common denominator of 15/22 and o*22/8 + 3?
44
Let k = -174068/103 - -1690. Let o = -2363/309 - k. Calculate the common denominator of (-4)/(-12) - (-5)/(-3) and o.
3
Suppose 0 = 6*y - y + h - 20, 0 = -3*y + 3*h - 6. Suppose 0 = -4*l - 4*a + 5*a + 7, 0 = -2*l + a + y. Calculate the least common multiple of 1 and l.
2
Let k(x) = -x**2 + 15*x - 36. Let b be k(14). Find the common denominator of -31 and (-13 + 7)/(15/b).
5
Let v(f) = 9*f**2 + 9*f - 8. Calculate the smallest common multiple of v(1) and 15.
30
Let w be -1*(-4)/((-4)/(-75)). Suppose 71*u - w*u = -56. Suppose -2*s + 2 + 6 = 0. What is the least common multiple of u and s?
28
Suppose 0 = 54*j - 17*j - 6660. Calculate the lowest common multiple of 220 and j.
1980
Let y = 1165 + -3538/3. What is the common denominator of y and ((-89)/(-445))/(8/(-15))?
24
Suppose 2*o - 107 = -4*i + 27, -5*o = -5*i + 205. Suppose -12 = 3*w + i. What is the least common multiple of 5 and (-1 - -1) + 19 + w?
15
Let s = 104/97 - -9533/970. Let t(o) = o**3 - 4*o**2 + 4*o + 1. Let p be t(2). What is the common denominator of (-1)/(-18)*-4*p and s?
90
Let z(i) = -i**2 - 11*i + 28. Let m be z(-13). Suppose 0 = c - 5*f - m, 2*c + 56 = 7*c - 2*f. Calculate the least common multiple of 28 and c.
84
Let g(d) = -d - 1. Let b(z) be the second derivative of z**3/2 - 11*z**2/2 + 4*z. Let a(v) = b(v) + g(v). Calculate the smallest common multiple of 2 and a(10).
8
Calculate the least common multiple of 20 and 35 + 3 + (-8)/(-12)*3.
40
Let s = 2386/561 + -45/17. What is the common denominator of s and (-2)/(-14) + (-407)/(-189)?
297
Calculate the smallest common multiple of (2 + 3/(-2))/(2/112) and 7.
28
Find the common denominator of -21/5 and (20/(-2610))/(9/(-270)).
435
What is the common denominator of 81/16 and 120/(-200) - (23678/9820 - 3)?
7856
Suppose -515 - 1135 = -25*q. What is the lowest common multiple of 1 and q?
66
What is the common denominator of (38/(-84))/(410/(-369)) and 5/84?
420
Calculate the common denominator of (-980)/84*(-4)/66 and 59/189.
2079
Let t = -402 - -682. What is the common denominator of (7/t)/((-2)/415) and (3/2)/(3 + (-1008)/321)?
80
What is the lowest common multiple of 33 and (1/2)/(2/96)?
264
Let t = -26333/10 + 2642. Let q(o) = o**2 - 13*o + 5. Let b be q(13). What is the common denominator of 1130/1700 + (-2)/b and t?
170
Suppose 2*x = 7*x - 575. Suppose w - x = -5*u + 6*w, 5*w + 55 = 2*u. Suppose -18 = -2*c - 10. Calculate the lowest common multiple of c and u.
20
Let c(k) = -k**2 + 4*k + 2. Let n be c(4). Suppose -n*r + 22 = 3*i - i, 2*r - 4*i = -2. Suppose r*w = 2*w + 40. Calculate the lowest common multiple of w and 2.
8
Suppose -2*p = -14*j + 15*j - 124, -3*p - 5*j = -200. What is the least common multiple of 120 and p?
120
Suppose 3*a = 5*z - 44, -2*a + 23 = 5*z + 2*a. What is the lowest common multiple of 4 and z?
28
Let c(l) = 2*l**2 - 56*l - 154. What is the smallest common multiple of c(32) and 27?
918
Find the common denominator of 5/4 and (-7)/((-14)/4) + 332/24.
12
Suppose 2*h - 4*h + 30 = 0. Let c = -123 - -130. Calculate the smallest common multiple of h and c.
105
Let l(r) = -4*r - 16. Let x be l(-5). Suppose x*k = -o + 12, -24 = -o + 2*k - 0*k. Calculate the least common multiple of 48 and o.
240
Suppose 0 = o + 3*n - 4, 0*n + n + 42 = 4*o. Suppose l - o + 5 = 0. Let u = l - -5. Calculate the lowest common multiple of 3 and u.
30
Let q be ((-12)/(-14))/((-5)/35). Let u = 26 + q. Calculate the smallest common multiple of u and 6.
60
Let l = -17590/11 + 1598. Find the common denominator of l and (-1)/1 - (-68)/(-32).
88
What is the common denominator of 115/288 and (-656)/480*5/30?
1440
Let z = -6991 + 125899/18. What is the common denominator of z and 37/90?
90
Let a = 4 - 4. Suppose -4*v + 4 = a, 0 = 3*j + v - 47 - 44. Calculate the least common multiple of j and 2.
30
Let p = 13 - 9. Suppose -28 = h + h + p*c, 4*h + 5*c = -62. What is the common denominator of ((-12)/h)/((-8)/(-33)) and -5/22?
44
Let m = 0 - -6. Suppose 32 = 3*d - 2*c, 6 = -3*c - m. Suppose -3*o = -0*o - 48. What is the smallest common multiple of d and o?
16
Let t = 3 - 0. Suppose t*b = -b - 560. Calculate the common denominator of -117/10 and (-1071)/b*(-1)/(-3).
20
Let i = 133/80 - 551/2160. Let j = -591/65 + 87/13. Calculate the common denominator of j and i.
135
Let z be (-2)/(-8) + 63/36. Suppose 0*y + 188 = 4*y - z*r, -2*r = -y + 44. Let d = y + -26. Find the common denominator of 32/9 and d.
9
Find the common denominator of 3346/(-380) + (-9)/(-1) and 43/10.
190
Suppose -2*j + 242 = 4*d, -3*d + 275 = -4*j + 99. What is the lowest common multiple of d and 8?
120
Let d(z) = -3*z + 3. Suppose 4*j - 4*c - 2 = -14, -5*j - 29 = 2*c. What is the smallest common multiple of d(j) and 2?
18
Let m = 92 + -642/7. Let l be (2 - (-12)/(-9))/(2/36). What is the common denominator of (1/2)/((l/(-237))/4) and m?
14
Let x(p) = 6*p**2 - 2*p. What is the least common multiple of x(2) and 30?
60
Suppose 0*d - 44824 = 2*d. Let p = -403537/18 - d. Calculate the common denominator of p and (1 - (-546)/4)*2/(-140).
252
Suppose -1227 = -5*m + 208. Suppose -5*s - 62 = -m. Find the common denominator of (-145)/s - 2/(-3) and 71/6.
18
Let m = -567 - -573. What is the smallest common multiple of (-20)/(-2) - (1 + 0) and m?
18
Let j = 512 + -1688. Find the common denominator of 43/6 and 2/7 + (-6181)/j.
24
Let g = 435 - 282. Let m = g - 145. What is the smallest common multiple of m and 1?
8
Let j = -239 + 456. What is the least common multiple of j and 9?
1953
Suppose i = 3*h - 23, i = -0*i - 2. Let o(a) = -12 + 27 + 4*a - 5*a. Calculate the smallest common multiple of o(h) and 1.
8
Let u(g) = -g - 9. Let p be u(1). Let i be (1 + -2)*-2 + -8. Let f = i - p. Calculate the least common multiple of f and 8.
8
Let d(g) = g**3 - 8*g**2 + 14*g - 10. What is the lowest common multiple of d(6) and 9?
18
Let j = 69359729/372 + -186451. Calculate the common denominator of j and -7/18.
1116
Let q = 24064153/8 + -3004044. Let i = q - 3963. Calculate the common denominator of i and 23/8.
8
Let p = -577 + 578. Suppose 5*y = -f + 245, -3*f = -2*f. Calculate the smallest common multiple of y and p.
49
Let k = 2779233/68 + -40872. Calculate the common denominator of 113/18 and k.
612
Suppose 5*w - 2*m - 17 = 2*w, w = -2*m + 3. What is the common denominator of -85/18 and w/(-20) - (-53)/44?
198
Let h(q) = -q**3 - 6*q**2 + 7*q + 3. Let p be h(-7). Let z be (-2)/(p + 34/(-10)). Suppose -3*y + z*y = 22. What is the smallest common multiple of y and 13?
143
Suppose 2*m + 17*i = 22*i + 13, 0 = -2*m + 2*i + 16. What is the least common multiple of 538 and m?
4842
Let w = -469/4 + 119. Calculate the common denominator of w and 29/16.
16
Suppose 3*a + 1322 - 158 = 0. Let d = a + 1563/4. Calculate the common denominator of 89/6 and d.
12
Let h be (80/15)/((-10)/186). Let y = 502938 - 35212039/70. Let q = h - y. Calculate the common denominator of 125/6 and q.
42
Let c be 1 + (-408929)/(-254790) + -3. Let z = 2/6705 + c. Calculate the common denominator of 18/11 and z.
418
Let j(p) = -3*p**2 + p + 70. What is the least common multiple of 56 and j(0)?
280
Let k be 240/(-9)*(-18)/8. Let g be k/18*(-9)/(-5). What is the common denominator of ((-345)/4)/((-27)/g) and -101/16?
48
Let s(n) be the third derivative of n**5/60 - n**4/6 - 11*n**2. Calculate the least common multiple of 9 and s(5).
45
Let g = 4773/4 + -100175/84. Find the common denominator of 97/28 and g.
84
Calculate the smallest common multiple of 28 and (-32)/(-3)*18/12.
112
Suppose 5*r + 13860 = -5*t, 2*t - 4*r + 5544 = -5*r. Let o = t + 19358/7. Find the common denominator of -133/6 and o.
42
Suppose h + 2*f - 15 = -2*f, -3*f - 22 = -4*h. Let m be (-3 + (-76)/(-16))*-4. Let c = m - -10. What is the least common multiple of h and c