v(t) = t. Let h be v(4). Let z(n) = -3*n**3 + 4*n**2 - 4*n - 4. Let w be z(h). What is the common denominator of -31/2 and w/6 + (-9)/(-27)?
6
Let c be 1439/(-4)*(-4)/294. Let a = -144/49 - c. What is the common denominator of -64/3 and a?
6
Suppose -2 = -x - 0. Suppose -x*p = -3*p + 6. Calculate the least common multiple of 4/(-3)*60/(-8) and p.
30
Suppose -9 = -4*r - 1. Calculate the common denominator of -2 - (r - 214/32) and 89/10.
80
Let x be ((-1290)/(-4))/(18/46). Let i = x + -812. What is the common denominator of -1 - (-1)/((-16)/58) and i?
24
Let t = 9 + -8. Calculate the smallest common multiple of t + 6 - (-1 - 2) and 2.
10
Suppose 35 = -2*l - 3*y, 0 = 4*l - 2*y - 0*y + 46. Calculate the common denominator of (-110)/(-36)*l/(-5) and (-371)/66 - (-4)/6.
198
Suppose 2*h - 4*y + 8 = 0, -h = y - 2 - 3. Suppose b + h = 24. What is the smallest common multiple of b and 8?
88
Suppose 4*g + 12 = 4*w, -2*w + 6*w - 5*g = 11. What is the smallest common multiple of 1 + -1 + 60/3 and w?
20
What is the smallest common multiple of 6 and (3 - 2 - 2)*-6?
6
Suppose 2*p = 3*p - 5*h - 20, 5*h = -15. What is the least common multiple of p and 8?
40
Let k = -2 - -6. What is the smallest common multiple of 7 and k?
28
Let l = 787 + -2327/3. What is the common denominator of (((-9)/(-20))/(-3))/((-6)/235) and l?
24
Let j = -299957/20 - -14992. What is the common denominator of -91/12 and j?
60
Suppose p + 85 = 4*h, 7*h + p - 95 = 2*h. Calculate the lowest common multiple of 16 and h.
80
Let z be (0 - 5364/544) + 0. Let n = z - 43/34. Find the common denominator of n and -37/6.
24
Suppose 0 = 5*a + m + 1125, 4*m = -a - 169 - 37. Find the common denominator of a/(-12)*(-4)/(-8) and 103/6.
12
Let l(u) = -u**2 - 10*u - 3. Let h be l(-5). Suppose -5*f + h = -2*v, -11 = -0*v + v + f. Let c = v - -33. What is the smallest common multiple of c and 22?
22
Let b = 448/8003 - -174018963/112042. Let c = b - 1552. Calculate the common denominator of 1/22 and c.
154
Let k = -5 + 14. Let m = -2 + 4. Suppose m*l = -6, 21 = -2*i + 6*i + 5*l. What is the smallest common multiple of i and k?
9
Let f = 8 - 125/14. What is the common denominator of f and ((-3)/(-6))/((-8)/102)?
56
Suppose 31 = 2*u - 5. Let z = u + 4. What is the smallest common multiple of 8 and z?
88
Let v(t) = t**2 + 7*t. Let u be v(-8). What is the common denominator of 156/u + 3/9 and -53/2?
6
Find the common denominator of (-3)/81*204/(-8) and 7/52.
468
Let b(y) = -2*y + 3. Let r(p) = -3*p + 3. Let f(g) = 4*b(g) - 5*r(g). Calculate the smallest common multiple of 8 and f(3).
72
Let j = -1240 + -620. Let v = j + 12988/7. Find the common denominator of 19/7 and v.
7
Let w = -12801/5 - -2552. What is the common denominator of (-112)/18*3/(-2) and w?
15
Suppose -6*k = -5*k - 20. Calculate the smallest common multiple of 20 and k.
20
Let b = 2160 + -75647/35. Let n = -2488/315 - b. What is the common denominator of 49/6 and n?
18
Let j be (1/(-26))/(3/750). Let s = 1111/52 + j. What is the common denominator of s and -21/20?
20
Suppose 5*s = 20, -2*a - 2*s + 17 = -a. What is the least common multiple of 11 and a?
99
Let z = -308701/129 + 2393. Let n = -8143/516 - z. Let a = 14983/18 + -831. What is the common denominator of a and n?
36
Suppose u - 43 = p, -71 = p + 3*u - 20. Calculate the common denominator of (p/48 - -1)*3 and -67/12.
48
Let f = 530 + -5273/10. Let w(t) be the third derivative of -t**6/120 + t**5/10 - t**4/12 - 5*t**3/6 + t**2. What is the common denominator of w(4) and f?
10
Let t(b) = b**3 + b**2 + b - 7. Let r be t(0). Let c = r + 11. Let u(g) = g - 3. Calculate the smallest common multiple of 8 and u(c).
8
Let y(t) = 2*t**2 + 3*t - 9. Suppose -2*b = -4*b - 8. Let k = -1 + 3. Calculate the least common multiple of k and y(b).
22
Suppose 4*y + 2*f - 30 = 4, 0 = 3*y + 4*f - 38. Calculate the lowest common multiple of y and 3.
6
Let l be (-798)/(-24)*(-138)/5. Let f = l - -915. Calculate the common denominator of 34/7 and f.
70
Let z = 21552199/3759 - 381/5012. Let f = z + -5723. What is the common denominator of f and -3/22?
132
Let k be 1/((-68)/(-16) - 4). Let p(v) be the third derivative of -v**4/24 + v**3 - 3*v**2. Calculate the least common multiple of p(k) and 9.
18
Let r = 5 - 0. What is the smallest common multiple of 0*2/2 + r and 3?
15
Let b = -1420 - -8593/6. Let q be (2/3)/(2/6). Suppose 3*i + 5*y + 9 = q*i, 5*i + 45 = -3*y. Find the common denominator of b and i.
6
Suppose 5*k = 21 - 6. Suppose -2*j = -0*j - 2*o - 2744, -o - 4110 = -k*j. Let v = 2795/2 - j. Find the common denominator of -24/7 and v.
14
Let d(u) = u**3 + 3*u**2 - u. Suppose -4 = 3*t + w, -4*w + 23 = -5*t + 5. Let v(r) = -r**3 + r + 10. What is the least common multiple of v(0) and d(t)?
30
Suppose 5*g = -0*g + 285. What is the lowest common multiple of 3 and g?
57
Suppose -4*h = -0*h - 64. Let l(x) = 4*x**2 - 2. Let j be (-16)/(-12) + 4/6. What is the least common multiple of l(j) and h?
112
Suppose 5*j + 48 = 3*a, -63 = -4*a + 4*j + 1. Suppose -s - 2*l + 6*l + 6 = 0, 4*s - 5*l = -20. Let v = s + a. What is the lowest common multiple of 4 and v?
12
Suppose 4*x = -8, 4*f - 5*x - 28 + 6 = 0. Suppose 0 = -3*k - l + 5, -f*l = -3*k - 3. What is the smallest common multiple of k and 1?
1
Let i = -398 - -2375/6. Find the common denominator of i and 91/8.
24
Let z = -13291 - -159581/12. Find the common denominator of -75/14 and z.
84
What is the least common multiple of 8 and 3 - (-3)/((-6)/2)?
8
Suppose -4*x + 20 = -5*a + 2*a, -a = 2*x - 10. Suppose -2*r - r = x*w - 60, r + 13 = 2*w. What is the smallest common multiple of w and 7?
63
Let h(o) = -o**2 - 2*o**2 - o + 4*o**2. Suppose 9 + 21 = 5*z. Calculate the lowest common multiple of z and h(3).
6
Suppose -2*y + 3*x = -33, 0 = -4*y - 2*x + 3*x + 51. Calculate the lowest common multiple of ((-2)/(-3))/(y/162) and 5.
45
Calculate the common denominator of (12/(-153))/(5/30) and -25/8.
136
Let f(b) be the second derivative of 0 - 3*b + 1/20*b**5 + 0*b**4 + 0*b**3 + 7*b**2. What is the lowest common multiple of 4 and f(0)?
28
Let u = -24 - -16. Let d = 17 + u. What is the least common multiple of d and 9?
9
Let s(i) be the first derivative of -1/4*i**4 - 2*i**3 + 0*i + 1 - 7/2*i**2. What is the lowest common multiple of s(-5) and 20?
20
Let z = 4 + 12. Calculate the lowest common multiple of 64 and z.
64
What is the common denominator of (18/2)/(204/8) and -28/9?
153
Let n be ((-8)/(-24))/(2/18). Suppose n*d = 4*u + 26, 6*u + 30 = 5*d + 2*u. Calculate the least common multiple of 4 and d.
4
Let g = -50 - -22. Let u = -72063/14 + 5141. What is the common denominator of u and (2/g)/(2/190)?
14
Suppose 0 = 2*l - 8, -2*l = -4*m - 3*l - 12. What is the lowest common multiple of 7 and -1*(0 - -4)/m?
7
Let b = 10 + -5. Suppose 5*t + 3*g = 7*g - 111, 5*t - b*g = -115. Let z = -10 - t. Calculate the least common multiple of 11 and z.
99
Let i be -1 - 0 - (-1)/1. Suppose 5*z + 2*y - 13 = 19, y + 17 = 3*z. What is the lowest common multiple of 2 - (2 + i + -22) and z?
66
Let o(i) be the second derivative of 17*i**4/12 - i**2/2 + i. Let h(k) = -23*k**3 - k**2 - k - 1. Calculate the smallest common multiple of o(-1) and h(-1).
176
Suppose 0 = -2*z + 6 - 0. Let p = -2 + 4. Let g = 11 - p. What is the smallest common multiple of z and g?
9
Let p be (3/(-9))/((-2)/6). Let g(i) = 2 + 2*i - p + 3*i**2 - 2*i**2. Calculate the least common multiple of 10 and g(-3).
20
Suppose c + d = 13, 0 = 2*c - 4*d + d - 21. Calculate the least common multiple of c and (184/(-48) - 2/12)*-4.
48
Suppose 2*j = 3 + 33. What is the lowest common multiple of 16 and j?
144
Suppose -5*l + 4*l + 7 = 0. Let j(a) = -a**2 + 12*a - 4. Calculate the smallest common multiple of l and j(11).
7
Suppose -5*s - 2*l + 10 = 0, 0*s - 20 = -3*s - 4*l. Calculate the common denominator of -39/16 and 28/(-72)*(s - 1).
144
Let i(k) = k + 7. Let t be i(-6). Let y = t - -1. Calculate the smallest common multiple of y and 20.
20
Suppose m + 7 - 1 = 0. Find the common denominator of (m/8)/(6/332) and 59/36*1*3.
12
Suppose 82 = 7*r - 8*r. Let o = -55 - r. Calculate the common denominator of o and -11/10.
10
Let x = 147151 - 1764395/12. Let b = -379/4 + x. Calculate the common denominator of 5/2 and b.
6
Calculate the common deno