and s/(-5)*(-1180)/32.
40
Let n(p) = -p**3 - 4*p**2 - 2*p - 3. Let t be n(-4). Suppose -u - 13 = -t*x + u, -5*x = u - 1. Find the common denominator of (3 + -4)/(x/(-23)) and -91/8.
8
Let f = -5 - -13. What is the smallest common multiple of 36 and f?
72
Suppose 5*j + 12 - 42 = 0. Suppose -m + 5*h - 26 + 1 = 0, 2*h = 10. Suppose -p = s + s - 10, m = 2*s - 4*p. Calculate the lowest common multiple of j and s.
12
Suppose -4*t = 4*v - 20, -13 = v - 3*v - 5*t. Let q be (-21)/2*(1 + 5). Calculate the common denominator of 12/5 and 132/q + v/6.
35
Let y = -86/309 - -47951/40170. Calculate the common denominator of y and 7/8.
520
Let n = -20749/13 + 171141/104. Let y = n + -1/104. Calculate the common denominator of y and -15/16.
16
Let u(w) = -7*w**2 - 7*w + 6. Let q(l) = 7*l**2 + 6*l - 5. Let r(o) = 6*q(o) + 5*u(o). What is the least common multiple of r(-1) and 14?
42
Suppose 5*b = 250 - 85. What is the lowest common multiple of b and 3?
33
Let j be ((-245)/10)/((-2)/(-352)). Let u = j - -133658/31. Calculate the common denominator of u and 65/8.
248
Calculate the common denominator of 1948/280 + 2/14 and 19/8.
40
Let m(w) = 5*w**2 - 1. Let l(t) be the second derivative of t**5/20 - t**4/2 - 5*t**3/6 + 4*t**2 + 3*t. What is the smallest common multiple of m(1) and l(7)?
44
Let q = -20 + 4. Find the common denominator of 46/11 and (32/80)/(q/(-155)).
88
Let a(v) = -4*v**3 - v**2 - 2*v - 2. What is the lowest common multiple of a(-1) and 80?
240
Let p be (1362/260244)/(13/37833). Let v = p + -1/14458. Let l = -843/104 + v. What is the common denominator of l and 26/5?
40
Let m(y) = 39121*y**2 - 7*y - 8. Let l be m(6). Let n = -11288439/8 + l. Let u = 2758 + n. What is the common denominator of 25/9 and u?
72
Suppose 0 = -g, -5*t - g + 0*g = -60. Calculate the lowest common multiple of t and 33.
132
Suppose 5*i - 16 - 4 = 0. Suppose 4*o = -20, m = 2*m - i*o - 40. What is the least common multiple of m and 12?
60
Let x(n) = n**3 - n**2 - n + 201. Let j be x(0). Let z = j - 1643/8. What is the common denominator of 5 and z?
8
Suppose -3*c - 56 = -c. What is the common denominator of (2 + 3)/(6/(-10)) and 8/c + 417/(-35)?
15
Let b be (-30)/4*(-12)/117. Let z = 211/182 + b. Find the common denominator of -77/40 and z.
280
Suppose 3*l = 6*l - 12. Suppose -3*z + v - 3 = l*v, v = -5. Calculate the smallest common multiple of z and 22.
44
Let t be 5/9 - (9 - 8). Let c = t - -89/99. Calculate the common denominator of -67/10 and c.
110
Let w(b) be the first derivative of 3*b**2/2 - 2*b - 2. What is the lowest common multiple of 12 and w(2)?
12
Let p = -85/144 - 75/16. Calculate the common denominator of ((-16)/6)/(-4) + 259/30 and p.
90
Let i = -731/7 - -102. Let x = 12429/4154 + -229/62. Let k = x - -3572/603. Find the common denominator of k and i.
63
Let m = -14185/6 + 2389. Find the common denominator of m and 34/9.
18
Let z = -6673/2 - -3415. Let h = z - 74. Calculate the common denominator of -25/4 and h.
4
Suppose -4*l + 55 + 5 = 0. Let s be 9 - 5 - (-2 + 3). Calculate the smallest common multiple of 9 and s*(l/9 - 0).
45
Suppose 4*n = 3*z - 0*z - 28021, 4*z = n + 7002. Let b be 252039/36 - 2/4. Let i = b + n. Calculate the common denominator of i and -99/4.
12
Let h be (-5)/5 + 0 + 5. What is the smallest common multiple of 7 and 60/18*6/h?
35
Calculate the common denominator of -1*((-179)/(-26) + -3) and -41/20.
260
Let n = -1/448 + -2783/448. Let f = 61 + -67/2. Calculate the common denominator of n and f.
14
Suppose 12 = -2*f - 0*f. Let a = 12 - f. Calculate the least common multiple of 18 and a.
18
Suppose -4*g = -7 - 17. What is the least common multiple of 4 and g?
12
Suppose 16 = -2*i + 52. Let w = -16 - -26. What is the least common multiple of 183/i + (-4)/24 and w?
10
Let v = 4014 - 2769. Let l = v + -11192/9. Find the common denominator of 10/3 and l.
9
Let g(c) = -c**3 - 2*c**2 + 2*c + 3. Let h be g(-2). Let w = 1656 - 26485/16. Calculate the common denominator of (-15)/48 + 0 + h and w.
16
Suppose 2*j - 4*g = 14, -j + 8 = -4*g - 3. Suppose t = w + 17, 28 = 5*t + 4*w - 39. Let y = 23 - t. Calculate the lowest common multiple of j and y.
24
Suppose 7 = -0*x + x. Let w(c) = c + 1. Let z be w(x). Calculate the common denominator of -37/2 and 6/z*(-220)/(-18).
6
Let p = -47684 + 524930/11. Let r = p + -53/22. What is the common denominator of r and 43/16?
16
Let g(y) = 2*y**2 + y - 2. What is the lowest common multiple of 6 and g(-3)?
78
Let p = 4/5653 - -276821/248732. What is the common denominator of 53/6 and p?
132
Suppose 2*d - 2*g - 24 = 0, 2*g + 17 = -4*d + 5*d. Suppose d*t - 3*t = 8. Suppose h - 4*h - 27 = -4*x, -3*h = 15. What is the lowest common multiple of x and t?
6
Suppose 5*i = 4*i - 3*a + 2, 0 = 2*i + 5*a. Let r be (-3 - 0)/1*-3. Calculate the common denominator of i and (-2)/1 - (-34)/r.
9
Let r = -34 + 42. Calculate the lowest common multiple of r and (2 + -3)/((-1)/5).
40
Let m = -6 + 5. What is the common denominator of 0 - m/((-14)/(-8)) and -3/7?
7
Let s = -9 + 18. Suppose 3*t = -5*z + 2*z + 24, 4*t = z - 18. What is the lowest common multiple of s and z?
90
Suppose -5*u + 72 - 27 = -4*t, 3*t = -3*u. Suppose u = 5*x, 3*x - x = -s - 2. Calculate the smallest common multiple of 10 and (12/9)/(s/(-6)).
10
What is the common denominator of 77/20 and (18/4)/((-4)/(-7))?
40
Let f be ((-4)/6)/((-1)/(-3)). Calculate the common denominator of 25/12 and -1 - (131/22 + f).
132
Let o(j) = 1046*j - 2. Let d be o(-7). Let m = 43805/6 + d. Find the common denominator of 1977/(-210) - 2/7 and m.
30
Let d = -2053/1136 + 44/71. Calculate the common denominator of d and (26/(-3))/(80/(-45)).
16
Suppose -3*r = 5*v - 0*r - 14, -3*v + 3*r = -18. Suppose j - g = 1, g = -3*j + 3 + v. What is the least common multiple of j and 8?
8
Let z = 2 + 5. Suppose 5*g + 3 - 2 = 4*p, -16 = -4*g - p. What is the least common multiple of z and g?
21
Let m be (0 - (0 + 1))*6. Let s = 43 - 29. Let t = s + m. What is the smallest common multiple of 12 and t?
24
Let f = -595/39 + 25/13. Calculate the common denominator of f and -38/7.
21
Suppose 0 = k - 2*t - 22, -t - t - 94 = -5*k. Let d be k*6*6/200. Let w = d + -1766/275. Find the common denominator of 18/11 and w.
11
Let d be 8/4 + 13 + 0. Let i be 5/d - (-28)/6. Suppose 0 = -3*n - 2*q + i + 3, -5*n - 3*q = -15. Calculate the least common multiple of n and 2.
6
Let q be 7 - (0 + 3 + 0). Let h(m) = m**3 - 2*m**2 - 2*m - 1. Calculate the smallest common multiple of -1 + 5/(10/q) and h(3).
2
Let z = -2932 - -52745/18. Find the common denominator of z and 91/10.
90
Let q be (-4)/((-5)/2 - -3). Let y = q + 14. Calculate the lowest common multiple of 2 and y.
6
Let i(p) = p**2 - 6. Let a = 3 - 2. Calculate the lowest common multiple of a and i(3).
3
Calculate the common denominator of 4/(-6)*243/144 and 55/7.
56
Let g(i) = 15*i**3 - i**2 + i - 2. Calculate the smallest common multiple of g(1) and 3.
39
What is the common denominator of 101/2 and (-3 - 16)*(-2 + (-124)/(-60))?
30
Suppose 0 = -6*p + 67 + 71. Calculate the least common multiple of 6 and p.
138
Let a = 2241/20 - 113. Calculate the common denominator of -2 - (0 - 113/16) and a.
80
Calculate the lowest common multiple of 7 + -6 - (-9 + 1) and 8.
72
Suppose h - 3*f - f - 3 = 0, -2*h + 6 = -2*f. What is the smallest common multiple of h and 24?
24
Let n = 61 + -843/14. What is the common denominator of (194/(-4))/(-1 + 2) and n?
14
Suppose 3*p + 69 = -3*a, 143 = -5*p + 3*a - a. Calculate the common denominator of (142/(-6))/(36/p) and 63/10.
20
Suppose 3*j + 4*l - 897 = 0, -j + 299 = 6*l - l. Let b = 611/2 - j. What is the common denominator of 26/9 and b?
18
Let l = -8 + 6. Calculate the common denominator of ((-30)/44)/(l/(-14)) and 53/10.
110
Suppose -3*j = -j + v - 13, j - v + 1 = 0. Calculate the lowest common multiple of 56 and j.
56
Suppose -v + a = 3*v - 21, 5*v + 5*a = -5. Let c(b) = -7*b - 2. Let w be c(-2). Suppose 5*q = 8 + w. What is the least common multiple of q and v?
4
Calculate the common denominator of (12/36)/((-12)/(-214)) and 4/(-14) + (-1906)/(-252).
18
Let v be (14/4)/((-2)/(-4)). Suppose 12*x - v*x = 100. Suppose -4*i + y = -85, 4*y + 76 = -2*i + 6*i. Calculate the smallest common multiple of x and i.
220
Let s(i) = i**3 + 5*i