. Calculate the lowest common multiple of (4 + -2)/(2/4) and -1 - (2/(-2) - (-2 - a)).
44
Let c(z) be the first derivative of -z**4/4 + 3*z**3 + z**2/2 + 15*z + 29. What is the smallest common multiple of 4 and c(9)?
24
Let j = -8361 + 501623/60. What is the common denominator of j and 119/50?
300
Let u(v) = -9*v**3 + v**2 + 5*v + 1. Let r be u(-3). What is the common denominator of r/(-153) - (1 - -1) and 29/23?
207
Let c = -2/3041 + 179425/9123. Let l = 857/30 - c. What is the common denominator of l and 25/8?
40
Let x = 33924689/506 - 67045. What is the common denominator of -99/8 and x?
2024
Suppose -q + 18 = q. Let i = -11983/1576 + 45/197. What is the common denominator of 37/((-4)/(-6)*q) and i?
24
Suppose 16 = -4*m - 0*m. Let u be (-88)/m*1/(-1). Let k = 40 + u. Calculate the smallest common multiple of k and 8.
72
Let j = -5098840 - -504792323/99. Let r be 4/18 - (-7834)/(-99). Let s = j + r. What is the common denominator of s and 115/6?
18
Suppose -2*f + 5*f + 4*l = -14, -2*l - 8 = f. Let h(k) = k**f - k**2 + k**2. What is the smallest common multiple of h(3) and 5?
45
Let w = -216 + 219. What is the lowest common multiple of 646 and w?
1938
What is the common denominator of -9 - (8021/(-468) - -5) and -95/276?
828
Let j(w) = -39*w**3 + 2*w**2 - 4*w + 2. Let n be j(1). Let g = -35 - n. What is the least common multiple of g and 42?
84
Calculate the common denominator of 28/(-294) + 1522/(-336) and (-116)/112 + (-1)/(-2).
56
Suppose 5*s - 79 - 11 = 0. Suppose w - 3*i + 35 = 0, i - 49 = 5*w + 56. Calculate the smallest common multiple of (24/w)/(6/(-10)) and s.
18
Let v be (-684)/55 + -2 - -2. Let g = -113/22 - v. What is the common denominator of 2/7 and g?
70
Suppose 4*x - 4*k = x + 79, 5*k - 124 = -3*x. Suppose -2*u + 5*u + x = 0. Let n = u + 21. Calculate the smallest common multiple of 5 and n.
10
Suppose -f + 1 = -4. Suppose 5*w - 14 + 2 = h, -3*h + 24 = f*w. Suppose 0 = b + h*b - 8. Calculate the least common multiple of b and 40.
40
Let b(o) = 3*o + 4. Let y be b(0). Suppose -h = y*h + 15. Calculate the least common multiple of 11 and h/3 + (2 - -10).
11
What is the common denominator of 3 - (-1107)/(-180)*(-26)/(-42) and -93/98?
980
What is the common denominator of 71/4 and (-268)/8 - (1 + -5)*-1?
4
Let b be ((-1900)/30)/((-2)/3) - 1. Suppose -2*z = -4*h + b, 3*h + 2*h - 2*z = 116. What is the lowest common multiple of h and 22?
22
Let v = 23516/35 - 672. Find the common denominator of v and -93/220.
1540
Suppose 8606 = 3*n - 3178. Let d = 1918 - n. Find the common denominator of 31/7 and (9/60)/((-36)/d).
56
Let b = 50 - 232. Find the common denominator of 25/14 and (-5)/30 + (b/18 - -2).
126
Let u = -4 - -8. Let p(z) = z**2 - 3*z. Let r be p(u). Suppose 0*s + 24 = r*s. What is the least common multiple of 6 and s?
6
Let a(w) = 2 - 15 - 6*w**2 - 5*w + 10 - 4*w**3. What is the smallest common multiple of a(-2) and 7?
105
Suppose g + 4*g = -g. What is the common denominator of (-618)/(-9)*(-2)/24 and (2 - -1 - g)/((-60)/15)?
36
Let b = 0 - -4. What is the common denominator of 2442/605 - b/10 and (-261)/(-40) - 4/10?
88
Calculate the common denominator of (176/(-2420))/(14/(-115)) and -47/14.
154
Let r = 2099/120 - -1/120. Find the common denominator of 91/160 and r.
160
Let z = -3 - -5. Let k be 915/8*(z - -4). Let o = k + -690. Find the common denominator of o and -47/10.
20
What is the common denominator of 71/387 and (-17)/((-19737)/66) - (3 - 3)?
387
Suppose 98 = 3*a + 4*q, -q - 23 + 80 = 2*a. Suppose 16*b = -97 + 417. What is the least common multiple of a and b?
260
What is the common denominator of 747*(-20)/(-2730) + -5 and -57/4?
364
Let z = 911/90 - 6061/540. Find the common denominator of z and -59/22.
1188
Let g = 313 + -305. Calculate the smallest common multiple of g and 10.
40
Suppose r = 5*p - 175, 5*p - 35 = 4*p + 2*r. What is the smallest common multiple of p and 45?
315
Suppose -7*n - 108 = -11*n. Suppose -3*x + 3 = -n. Calculate the common denominator of (x/(-75))/(8/10) and 1/14.
42
Let k(j) = j**2 + 5*j + 2. Let n be k(-6). Find the common denominator of 71/18 and (-186)/n*(0 + 0 + 1).
36
Let i = -2/25333005 + -32352815/30399606. Let d = i + 1/115. Find the common denominator of d and (54/(-16))/(6/(-40)).
18
Suppose -10*d = -12 - 8. What is the common denominator of 2 - (6/d - (-340)/(-64)) and 52/6*11/8?
48
Let i(x) = 2*x**2 - 10*x + 8. Let r = -70 - -98. Suppose 3*y = 2*m + r, -5*y + 5*m + 49 = -y. Calculate the least common multiple of 10 and i(y).
20
Suppose 0 = -5*d + 3*g + 11, 2*g + 14 = 5*d - 0. Suppose -4*m + 7 + 5 = t, 3*m - 9 = -d*t. Calculate the least common multiple of t + 3 - (0 - -2) and 5.
5
Calculate the common denominator of -59/126 and 8/(-21)*(-897)/1012.
1386
Find the common denominator of 7/15 and (-5 - 1014/(-240))/(1/12).
30
Suppose 0 = 5*i + 19 - 69. Let k(n) = -n**2 - 17*n - 23. Let f be k(-15). Let o = i - f. What is the lowest common multiple of o and 8?
24
Suppose -440 = -3*w + f + 43, f + 321 = 2*w. Suppose 3*r = -2*x + 359, x - 2*r = -0*x + w. What is the smallest common multiple of x and 2?
172
Let t = -9664 - -14469. Let g = t + -48171/10. Let p = -4693/10 - -461. Find the common denominator of g and p.
10
Let h = -105 + 110. Suppose 65 = 5*j + h*f, f - 13 = 4*j - 40. Calculate the lowest common multiple of j and 26.
104
Suppose -4*i + 65 = 5*u, 5*u - 27 - 38 = -2*i. Suppose -u = -4*s - h, 2*s - 5*h + 1 = 2. Find the common denominator of 9/12 - (-625)/(-20) and s.
2
Suppose -2 = 2*h, -453 = -5*d + h + 2*h. Let w = 139/27 + 811/54. Calculate the common denominator of w and (15/10)/(d/94).
30
Let y(c) = -c**3 - 23*c**2 + 25*c + 25. Let g be y(-24). Calculate the common denominator of -2 and (-4)/g + (-245)/(-85).
17
Let h be (14/6)/(2/(-6)). Let t(r) = -3*r - 12. Suppose 32 = 4*d - 4*s, 4*d = 3*s + 10 + 25. Calculate the least common multiple of t(h) and d.
99
Let j = -825 - -849. Calculate the lowest common multiple of 21 and j.
168
Let s = -70275/616 + 795/7. Find the common denominator of s and 5/24.
264
Suppose 73*s = 100 + 1652. What is the lowest common multiple of s and 76?
456
Suppose 5*v + 4*b = 7*b - 10, -v - 4*b - 2 = 0. Calculate the lowest common multiple of (3/v)/(18/(-48)) and 10.
20
Let f = -3/7538 + 186576/26383. Find the common denominator of f and -37/6.
42
Let v = -3516 - -1838869/523. Let f = v - -39221/2092. Find the common denominator of -39/20 and f.
20
Let o = -34 - 2. Let q = -21 - o. Suppose 4*n - q = -n. Calculate the smallest common multiple of n and 5.
15
Let g = -40852/9 - -4545. Let y = 4/883 - 3568/7947. Find the common denominator of y and g.
9
Find the common denominator of 82/50*92/690 and -83/12.
1500
Let z = 16 + -14. Suppose -5*s = -s - 3*y - 339, -y = -z*s + 169. Calculate the smallest common multiple of 16 and s.
336
Let t be (-46)/8 + 1/(-4). Let q be (t/(-9))/(4/6). Let u(k) = -22*k + 1. What is the common denominator of -43/4 and u(q)?
4
Let y(b) = -8*b + 58. Let m be y(7). Suppose -2*n + m*d + 12 = 2*n, 4*n - 18 = -d. What is the lowest common multiple of 2 and n?
4
Let t = -4843 + 43636/9. What is the common denominator of 1/20 and t?
180
Let g = 61 - 31. Let i = g + -22. Suppose -3*p + 13 = 4*u - 24, 0 = -3*u + p + 31. What is the lowest common multiple of i and u?
40
Let x(w) = w**2 + 36*w - 24. What is the least common multiple of 130 and x(-38)?
260
Let s = 56 + -12. Find the common denominator of ((-429)/s)/(14/(-8)) and 41/11.
77
Let c = 13327678590583/79416 + -1342568669/8. Let s be ((-9)/6618)/(2/(-4)). Let n = c - s. Find the common denominator of 43/4 and n.
36
Let r(a) = 11*a**2 - 25*a**2 + 20*a**2. Let z = 3 - 1. Calculate the least common multiple of r(z) and 10.
120
Let s = 6977475 - 62731633/9. Let d = 7301 - s. What is the common denominator of d and 10/(-5)*115/80?
72
Let w(q) be the second derivative of -q**4/12 - 11*q**3/6 - 12*q**2 + 17*q. Calculate the least common multiple of w(-7) and 9 - (-4 + 3)*-3.
12
Let f = 29 - 14. Let j = f + -13. Calculate the common denominator of -3 + j/((-40)/(-146)) and -41/11.
110
Let r = 811/18 - 443/9. Let z = 151 + -102. Find the common denominator of r and z.
6
Suppose 3*k - 2*v + 1140 = 0, k - 5*v + 384 = -3*v. Calculate the common denominator of (-2313)/k + -1*3 