210*(-738)/(-54) and 113/210.
630
Let c(t) = -32*t**3 + 2*t**2 + 2*t + 1. Let x be c(-1). Let l = -28 + x. Calculate the least common multiple of l and 13.
65
Let u = 143788/55 + -2615. Calculate the common denominator of u and -39/20.
220
Let p(d) = -d**2 + 14*d + 20. Calculate the lowest common multiple of p(14) and 96.
480
Let l be (2206/20)/((-2)/(-1)). Let j = 583/10 - l. Find the common denominator of j and (-2)/6*(-660)/(-616).
140
Let r(t) be the second derivative of -t**4/6 - 3*t**3/2 - t**2 - 14*t. What is the lowest common multiple of r(-4) and 9?
18
Suppose 5*a - 14 = 6. Suppose a*z + 0*z = -192. Find the common denominator of 83/20 and (-36)/z*(-220)/(-54).
180
What is the lowest common multiple of 18 and (-2)/10 + (-11152)/(-410)?
54
Suppose -3*l + 0*w = 4*w - 329, 0 = 4*l + 4*w - 440. Let z = 125 - l. Calculate the smallest common multiple of z and 6.
42
Suppose -u + 22 = u. Suppose l = -5*t - 54, -3*l - 40 = 4*t + l. Let s = 19 + t. What is the least common multiple of u and s?
88
Let p(k) = -k**3 + 6*k**2 + 5*k + 6. Let y be p(7). Calculate the least common multiple of (-154)/y - (-15)/20 and 18.
180
Suppose 3*w = 21 - 3. Suppose 0 = -w*t + t + 15. Suppose 15 = t*b - 0*f + f, -5*b - 4*f = -32. What is the lowest common multiple of 10 and b?
20
Let q(f) = f**3 - 6*f**2 + 9*f - 4. Let h be q(5). Suppose 70 = -9*d + h*d. Calculate the least common multiple of d and 16.
80
Calculate the least common multiple of (-21 + 22)/(2/6) and 95.
285
Let p(o) = 11*o**2 + 25*o + 65. What is the least common multiple of 140 and p(-5)?
6020
Suppose 2*x - a = 3*a - 18, 2*x + 18 = -2*a. Calculate the smallest common multiple of 1/13 + 25/13 and (3 + -5)*x/2.
18
Suppose 5*u + 6 = -4*b, -5*b + u = -0*u - 7. Let d be -1 - (-1 + 2)*b. Calculate the smallest common multiple of (24/(-18))/(d/3) and 7.
14
Let x be (-6)/45*6*-5. Let k(g) = -4*g**2 + 10*g + 6. Let n be k(7). What is the least common multiple of n/45*(-6)/x and 8?
8
Let p be (-9)/(1/((-8)/(-12))). Let h = 219 + -1743/8. Calculate the common denominator of h and (3/36)/(p/(-292)).
72
Suppose -2*m + 53 = -31. Find the common denominator of ((-33)/m)/(2/(-8)) and ((-170)/(-4) - -2)/5.
70
Suppose -2*f + o = 5*o - 66, -3*f + 2*o + 67 = 0. Let c be (-80)/(4 - 0) + -1 + 0. Let d = c + f. What is the least common multiple of d and 3?
12
Suppose 3*j = q - 24, -q + 4*j + 38 - 11 = 0. What is the lowest common multiple of 120 and q?
120
Let x(h) = -854*h**3 + h**2 - h. Let u be x(1). Let d = 2540/3 + u. Let n = 4/63 - -962/63. Find the common denominator of n and d.
3
Let f(h) = h**2 - 10*h + 4. Let w = 14923/5 + 20019/35. Let j = -3550 + w. Find the common denominator of j and f(4).
7
What is the common denominator of -28/75 and 1 + 14/48 - 2?
600
Suppose 3*h - 8 = -3*z + 34, -5*h - 20 = -5*z. What is the lowest common multiple of (-1)/(-3*1/21) and z?
63
Let v be (-6)/(-10) - (-33)/(-55). Suppose v = -12*j + 17*j - 30. Calculate the lowest common multiple of j and 1.
6
Let p = -619/3 + 2329/12. Find the common denominator of p and 7/8.
8
Suppose 72 = -23*a + 578. Calculate the smallest common multiple of a and 3.
66
Suppose y = 5*y. Suppose y = 22*k - 25*k - 9. What is the lowest common multiple of 36 and k/(-2)*64/6?
144
Suppose -6*h - 96 = -492. Suppose 54 = 4*g - h. Calculate the least common multiple of g and 18.
90
Suppose 4*k = 5*u - 6, -2*u - 6 = -4*k - 18. Calculate the common denominator of 1 + ((-51)/12 - u) and 7/8.
8
Let u = 5 + -3. Suppose 5*v + 11 = j, -u*j - 2 + 13 = v. What is the least common multiple of 18 and j?
18
Let r = 83 + -73. Find the common denominator of (-2*(-1)/(-16))/(r/(-68)) and -1 + (-1)/(8/(-103)).
40
Let n = 654 + -643. What is the smallest common multiple of 16 and n?
176
Suppose 2*p - 292 = -4*x, 2*p + 2*x = 3*x + 312. What is the smallest common multiple of p and 22?
154
Let w = 752 + -743. What is the smallest common multiple of 216 and w?
216
What is the common denominator of -89/138 and (-81)/(-6) + -4 + (8 - 3)?
138
Calculate the common denominator of -43/11 and ((-11)/(-44))/((-174)/(-136)).
957
Suppose -14 + 10 = -r. Suppose -3*f - 32 = -4*y, -f = r*y + 3*f - 4. What is the lowest common multiple of 7 and y?
35
Let y = -6255/4 - -1564. What is the common denominator of y and ((-14)/(-32))/(2/44)?
8
Let r(y) = y**3 - 5*y**2 - 7*y - 8. Let z be (-5)/(-30) + 70/12. Let u be r(z). What is the common denominator of u/(-2) + (-1)/4 and -1/7?
28
Suppose -3*a + 227 = 2*p, -p + a + 4*a = -120. Let v = -97 + p. Calculate the lowest common multiple of v and 16.
144
Let f(c) = c**3 - 18*c**2 + 17*c - 3. Let u be f(17). What is the common denominator of u - ((-73)/10 - -3) and -47/8?
40
What is the least common multiple of 168 and ((-2904)/(-770) - (-9)/21)*70?
1176
Let h(t) = t**3 + 17*t**2 + 2*t + 35. Let f be h(-17). Let d be (66/(-4))/(1/2). What is the common denominator of -33/4 and 3 - f*d/(-60)?
20
Let g = 241 - 224. Let f = -23 + 33. Calculate the least common multiple of f and g.
170
Calculate the lowest common multiple of 24 and 65 - ((-8)/6 - (-15)/45).
264
Let j = -21/26 + 309/286. Calculate the common denominator of 44/23 and j.
253
Let u be ((-216)/(-189))/(4/14). Suppose u*g - 17 = 19. Calculate the least common multiple of 7 and g.
63
What is the common denominator of 80/63 and 3772/(-1804)*(3/(-49))/(-3)?
4851
Let w be (-2 - -5) + (-9)/(45/(-80)). Suppose -8*d + w + 109 = 0. Calculate the lowest common multiple of d and 44.
176
Suppose -280*l + 259*l = -21672. Calculate the lowest common multiple of 22 and l.
11352
Let c be 18/30 - (-27)/5. What is the common denominator of ((-213)/c)/(-1 - 4/2) and -76/3?
6
Let l be 3 + -2 + (0 - 1). Suppose 3*o - 3 - 3 = l. What is the least common multiple of o and 8?
8
Suppose 4*r - 2*w = 802, 5*r + 6*w = 10*w + 1010. What is the lowest common multiple of r and 18?
198
Suppose 106 = 6*k - 8. Suppose -9 = 2*o - k. Suppose 0*p = 3*h + 3*p - 12, 0 = h + o*p. What is the smallest common multiple of 11 and h?
55
Let a = -3706/7 + 21221/42. Find the common denominator of a and 81/160.
480
Let g(o) = -o**3 + 18*o**2 - 32*o + 8. Let l = 62 + -46. What is the lowest common multiple of 9 and g(l)?
72
Let s = 4969483/655 + -7587. Let x = 8333965097/373216380 + 1191/189932. Let y = x + s. Find the common denominator of -22/7 and y.
21
What is the common denominator of -131/18 and (-2)/(-6)*(-2 - 1542/(-672))?
1008
Let y = -5431/21 - -259. What is the common denominator of y and 61/30?
210
Let i = -72 + 76. Calculate the smallest common multiple of 20 and i.
20
Let x = -8 - -18. Let o be 2/((-4)/165)*(-36)/27. Suppose 3*h - 5*g + 22 = 4*h, o = 5*h + 4*g. What is the lowest common multiple of x and h?
110
Suppose 2*g - 2 + 0 = 0, -5*g + 19 = 2*d. Let k(c) be the first derivative of c**3/3 - 5*c**2/2 + 4*c - 4. Calculate the least common multiple of d and k(5).
28
Suppose i + i + x - 46 = 0, -2*x + 8 = 0. What is the smallest common multiple of 6 - (2 - -1)*28/i and 28?
28
Let f = 2 - 11. Let k = -32141/6 - -5370. Find the common denominator of k and f.
6
Calculate the common denominator of -79/80 and (20 - 15)*138/20.
80
Let x be -2*(0 - (2 + -4)). Find the common denominator of 50/9 and 30/35 - (x - -1).
63
What is the least common multiple of (7/14)/((-2)/(-384)) and 8?
96
Let a = -63270800 + 88452586633/1398. Let f = -1/4194 + a. Calculate the common denominator of f and -8 - -7*(-9)/(-10).
90
Let y be -40*10 - (-5 + 7). Let s be y/2*(-44)/(-33). What is the common denominator of 1/((-40)/s*-1) and 77/8?
40
Suppose -2*j - 45156 = -5*j. Suppose 4*g + 0*g = j. Let h = -60161/16 + g. What is the common denominator of h and 23/38?
304
Let v be 27/(-6)*4/6. Let t be 5/(1304/(-434) - v). Let r = t + 10877/10. Calculate the common denominator of -39/5 and r.
10
Let o(b) = -3*b + 93. Calculate the lowest common multiple of 8 and o(20).
264
Let g(q) = 3*q - 7. Let u(y) = -4*y + 8. Let m(h) = -6*g(h) - 5*u(h). What is the least common multiple of 12 and m(3)?
24
Find the common denominator of 65/174 and -1*(-30)/(-40)*(-132)/(-2).
174
Let k = -31 + 28. What is the smallest common multiple of (k/(-6))/((-4)/(-40)) and 13?
65
Suppose 5*x + 6*q + 8 = 5*q, -5*x - 3*q - 4 = 0. Find the common denominator of 6 + 164/(-28) + (-48)/189