35. Find the common denominator of t and -23/11.
11
Let u = 1 + 1. Let n(k) = -k + 2. Let i(d) = d**2 + 13*d + 13. Let c be i(-12). Calculate the lowest common multiple of u and n(c).
2
Suppose -2*w = -3*n + 19, -5*n + 3*w + 0*w + 30 = 0. Suppose 2*u - 2*h + 1 = n*u, 3 = -3*h. Calculate the least common multiple of u and -3*(-4 + (-2)/(-2)).
9
Suppose 2*a - 22 = 6. Calculate the smallest common multiple of a and 10.
70
Let v = 102 + -147. Calculate the common denominator of 119/10 and v/9 - 2/9.
90
Let i = 4 - -6. Calculate the smallest common multiple of i and (2 + -3 - -2) + 2.
30
Let p = -12 - -20. Let k be 1 - (2 + 1) - -73. Suppose 9 = 3*b, 3*b - 48 = -5*f + k. Calculate the least common multiple of f and p.
88
What is the common denominator of 19/14 and (-2615)/(-1050) + (-4)/30?
14
Let p = 2/11106151 + -62516524503/2909811562. Let z = 2/131 - p. Find the common denominator of -101/2 and z.
2
Let x(u) = u**3 + 3*u**2 - 2*u - 1. Let c be x(-3). Suppose -c*f = b + 7, 5*f + 8 = f. Find the common denominator of b/(-12)*(105 - -1) and -59/4.
4
Let w = 3241436448496597/22141220 - 16543004588/113. Let y = w - -1/9797. Find the common denominator of 39/20 and y.
20
Suppose -60 = 5*w - 3*k, 24 = -2*w + 3*k - 7*k. Calculate the lowest common multiple of w/(-18) - 4/(-3) and 2.
2
Let m(z) = -z**2 - 6*z - 3. Let c = -18 - -14. Calculate the lowest common multiple of m(c) and 5.
5
Suppose s + 2820 = 6*s. What is the common denominator of 9/2 and ((-1)/3)/(8/s)?
2
Let v be ((-7)/2)/((-2)/(-848)). Let i = 11843/8 + v. Find the common denominator of i and 7*(-1 + (-58)/(-44)).
88
Let h = 12 + 12. What is the smallest common multiple of h and 9?
72
Suppose -2*s + 0 = -8. What is the least common multiple of 18 and s?
36
Let f = -15 + 27. Calculate the smallest common multiple of 9 and f.
36
What is the common denominator of 37/6 and 21/(-5) - (4 - -1 - 3)?
30
Suppose 2*h + 2*h + 40 = -3*j, -3*j + 25 = -h. Let c = 22 + h. Calculate the lowest common multiple of 2 and c.
18
Suppose -3*u = -3*t - 63, 4*u + 158 = -4*t + 34. Calculate the common denominator of -45/7 and t.
7
Let u = -613374/253 + 42300/23. Suppose o = 3*w + 596, 0 = -0*o + 2*o + 3*w - 1165. Let n = u + o. What is the common denominator of 32/5 and n?
55
Let b(o) be the third derivative of o**5/60 + o**4/3 + 11*o**3/6 + 2*o**2. What is the smallest common multiple of 8 and b(-9)?
40
Let w(o) = 5*o**2 + 2 - 6*o + 9 - 6*o**2. What is the smallest common multiple of 5 and w(-6)?
55
Let u(x) = -x + 12. What is the lowest common multiple of 12 and u(-8)?
60
Let h = 16 - 10. Suppose -3*a + 4 = s, -2*s + 6*s - 25 = -3*a. Calculate the least common multiple of s and h.
42
Let q = 23948 + -526765/22. Let u = 21923/10 - 2190. Find the common denominator of u and q.
110
Suppose -18*b + 36 = -14*b. What is the smallest common multiple of b and 10?
90
Suppose 6*h - h = 10. Suppose -h*m + 20 = -0*m. Calculate the smallest common multiple of m and 6.
30
Let u(h) = -3*h + 3. Calculate the lowest common multiple of u(-5) and 8.
72
Let z = 208/9 - 8908/387. Let v = -551/86 - z. Calculate the common denominator of v and -11/5.
10
Suppose -4 - 1 = 5*b, -178 = -3*f - 2*b. Let m = -24 + f. Suppose 0*k + 3*k - m = 3*i, -5*k + 36 = i. What is the lowest common multiple of k and 9?
72
Calculate the common denominator of 4/(-10) + 101/10 and 26/11.
110
Let v = 22 + -13. What is the least common multiple of 10 and v?
90
Let k = 14039/4 + -3492. Find the common denominator of k and (60/70)/(2/(-3)).
28
Let h be 135260/1469*(-5)/56. Let l = h - -10/1469. What is the common denominator of l and 49/8?
56
Let l(i) = i**2 - 3*i + 12. Let p be l(12). What is the common denominator of -109/22 and (3*1)/(p/(-15))?
88
Suppose 4*z - z = 9. Suppose -z*h - 5 = -8*h. Find the common denominator of 58/5 and (102 + h)*5/50.
10
Let x = 4759 - 95203/20. Find the common denominator of x and 9/4.
20
Suppose 0*s = -4*s - 72. Calculate the common denominator of (s/24)/(6/196) and 13/18.
18
Let l = 20 + 0. Let q = -8 + 9. Let x(w) = 7*w**3 - w. Calculate the smallest common multiple of x(q) and l.
60
Let d(b) be the second derivative of -b**3/6 - b**2 + 2*b. Let a be d(8). Let y(c) = c + 12. What is the smallest common multiple of 11 and y(a)?
22
Let p be 61624/18 - 6/3. Let c = p + -3418. What is the common denominator of c and -81/8?
72
Let w be (-6691)/(-20) - 4*-1. Let h = w - 338. What is the common denominator of h and 89/12?
60
Suppose -3*j - 14 = -5*j. Find the common denominator of -49/8 and (0 + -1)*25/j.
56
Let h be (0 + 1)*(-5480)/12986. Let r = -19/43 - h. Let q = -3497/1208 - r. Find the common denominator of q and -22/9.
72
Let r(n) = n**3 + 4*n**2 - 4*n + 4. Suppose -3*a + 12 = -0. Calculate the lowest common multiple of a and r(-4).
20
Let l be (1 + -2)/(3/(-63)). Calculate the lowest common multiple of 9 and (l/(-2))/(-3)*2.
63
Let a be (-2)/(-2 - (-116804)/58411). Let j = a + -6497. Calculate the common denominator of 4/11 and j.
99
Let m(a) = 47*a**2 + a - 1. Let q be m(1). Let j = q + -31. Calculate the smallest common multiple of j and 18.
144
Let j = -778331/34212 - -2/8553. Let f = 5765/7 - 826. What is the common denominator of f and j?
28
Let r(f) = f - 3. Suppose -5*y = -8 - 2, 3*g = y + 10. What is the smallest common multiple of r(g) and 11?
11
Let p be (-2)/(-1)*134/8. Let u = p + -30. What is the common denominator of u and 29/20?
20
Let h = 15 + -9. Let q(r) = -r**2 + 5*r - 4. Calculate the smallest common multiple of 2/(-3) + 16/h and q(3).
2
Suppose 2*j + j - 4*z = 16, -3*z - 10 = -2*j. What is the least common multiple of j and 1?
8
Let i(n) = -2*n - 6. What is the least common multiple of 2 and i(-21)?
36
Let y = -22527 - -540551/24. What is the common denominator of y and -57/4?
24
What is the common denominator of ((-9)/(-6))/((-387)/(-39)) and -41/14?
602
What is the least common multiple of 30 and (1 - (-6 + 0)) + 1?
120
Let l be 137337/45777 - 3 - 0. Let r = l - 1693769/152590. What is the common denominator of 13/8 and r?
40
Let y(j) = j**2 + 16*j - 26. Calculate the smallest common multiple of 10 and y(-18).
10
Let f = 237573/25336 - 6/3167. Let c = 266/3 + -247/3. What is the common denominator of f and c?
24
Let y = 10 + -6. Suppose -5*o - 6 = 14. Let d(l) = l**2 + 4*l + 1. Calculate the lowest common multiple of y and d(o).
4
Suppose -c + 5*y - 35 = -4*c, 4*y = 4*c - 100. Calculate the smallest common multiple of c and 2.
20
Suppose -3*r - 40 = -7*r + 3*l, l + 4 = 0. Calculate the least common multiple of r and 2.
14
Let u(f) be the first derivative of f**3/3 - 2*f**2 + 6*f - 4. Calculate the least common multiple of 22 and u(4).
66
Suppose 18 = 2*u - 2*w, 0 = 4*u - 5*w - 39 - 0. Suppose 2*o + 9 = 2*h - 3, 3*o - u = 0. Calculate the least common multiple of h and 4.
8
Suppose -s - s = 5*l - 46, -5*l - s + 43 = 0. What is the lowest common multiple of 36 and l?
72
Let w(o) = -10*o**3 - o**2 - 2*o - 1. Suppose 2*x - 6 = -4. What is the least common multiple of w(-1) and x?
10
Suppose -2*p - 24 = -4*p. Calculate the lowest common multiple of p and 5.
60
Suppose -2*y + 5*i + 10 = -0, 4*i - 5 = -y. Suppose 0*k = k - 3*t - y, 25 = 5*k + t. Calculate the least common multiple of 6 and k.
30
What is the smallest common multiple of 10 and 2/(-1 - -3) + 13?
70
Suppose -5*z - 8 = -3*q + 4, 2*z - 20 = -5*q. Let k(g) = g**3 - g**2 + g + 2. Calculate the lowest common multiple of (22/5)/((-1)/(-5)) and k(z).
22
Let y = -313/2 - -138. What is the common denominator of 21/20 and y?
20
Suppose -32 = 10*n - 14*n. What is the lowest common multiple of n and 14?
56
What is the common denominator of (-2 + 6 - (-60)/(-14)) + 4 and -6?
7
Let y = 10/343 - -25/343. Let b = y - 1245/196. Calculate the common denominator of b and (1/3)/((-8)/(-273)).
8
Let r(o) = o**2 - 11*o + 9. Let s be r(8). Let v = s + 24. What is the least common multiple of 5 and v?
45
Let y(t) = 5*t**2 - t - 1. Let k = -515/3 + 169. What is the common denominator of y(2) and k?
3
Let p = -97/6 + 13/2. Find the common denominator of p and -35.
3
Let k = -2/493 - -12349/5916. Find the common denominator of k and 83/60.
60
Let x(i) = -9*i**2 + 1 + i**3 + 1 + i**2 + 1. Let h be x(8). Suppose 0 = 3*m + h*z - 45, -3*m = z - 7 - 30. What is the least 