e 2*x + x = 81. Find the common denominator of (-12)/(-14)*72/x and -13/8.
56
Let r(z) = z**2 - 3*z. Let t be (-13)/(1/(-2 - -3)). Let w = -2 - t. What is the least common multiple of w and r(5)?
110
Suppose 4*y - 16 = 0, 3*z + 4*y = 20 + 200. Let r = z + -48. Let t = 7 + 3. What is the lowest common multiple of t and r?
20
Let m = 1 + -1. Suppose -2*v - 2*v + 8 = m. Let w = -2 - -5. Calculate the lowest common multiple of v and w.
6
Suppose -i - 14 = -4*i + 4*r, 4*i + r + 13 = 0. What is the smallest common multiple of (i/5)/(7/(-105)) and 22?
66
Let j = 16271/8 + -2030. Find the common denominator of 86/(-4)*7/35 and j.
40
Suppose 0 = h - 3*p + 12, p = -5*h - 4*p - 40. Let r = h - -15. Calculate the lowest common multiple of r and 1.
6
Let v be (38/(-8))/(1/(-4)). Let a = v + -9. What is the common denominator of ((-279)/28)/((-15)/a) and 71/10?
70
Suppose 7 = f - g + 2, 3*g + 15 = -f. Let u(d) = d - 4. Let i be u(f). Calculate the common denominator of i/((-24)/135) - -2 and 5/7.
14
Let o = 24 + -15. Let a = -8 - -24. What is the lowest common multiple of a and o?
144
Let b(y) = -y - 148. Let k be b(0). Let j = -98281/14 - -7027. Find the common denominator of j and (4/144)/(2/k).
126
Let a = -2/5231 - -538833/104620. What is the common denominator of a and (-159*(-8)/(-528))/(1 + 0)?
220
Let u = -5 + 19. What is the least common multiple of 12 and u?
84
Let b = 3 - 0. What is the common denominator of 31/7 and (b + 0)*12/20?
35
Let a be 8/12 - 24/9. Let h(v) = -v + 1. Let f be h(4). What is the least common multiple of 14 and f/15*a*30?
84
Let w = -3 - -5. Calculate the common denominator of 41/6 and (-4230)/(-200) + w/(-5).
12
Suppose 0 = -2*r - 0*d + 2*d + 36, 0 = r + d - 20. Calculate the least common multiple of 3 and r.
57
Let u = 33 + -11. Suppose -5*p = -2*p - 12. Calculate the lowest common multiple of u and p.
44
Let f(w) = 0 - w**2 + 2*w**2 + 5*w + 4 + 1. Calculate the lowest common multiple of 10 and f(-5).
10
Calculate the common denominator of 20/(-8)*(-4)/((-360)/119) and -3/16.
144
Let o(y) = -y**2 + 7*y + 3. Let p be o(6). Let r = p - 4. Calculate the smallest common multiple of r and 5.
5
Suppose d - 5*d = -16. What is the smallest common multiple of 40 and d?
40
Let f(r) = r**2 + 5*r - 5. Let k be f(-5). Let q be 32 + k/((-10)/(-4)). Suppose q = 3*m + 2*m. What is the lowest common multiple of 3 and m?
6
Suppose -2*q - 3 + 33 = 0. Let u = 3 + q. Suppose 0*f = -5*f + 110. Calculate the lowest common multiple of u and f.
198
Suppose -3*u + 405 = -6*f + 3*f, 5*u + f - 693 = 0. Calculate the common denominator of 3/2 + u/(-40) and 3/14.
140
Suppose -2*u + 2 + 2 = -f, 8 = 3*f - u. Let k(p) = p - 15. Let r be k(-6). Let s = r - -28. Calculate the lowest common multiple of f and s.
28
Let p be 162/(-15) - (-2)/(-10). Let f = -3 - p. Calculate the least common multiple of f and 22.
88
Find the common denominator of -65/16 and 21/(-14) + (-215)/(-100).
80
Suppose 0 = -3*l + 3 + 9. Suppose -8 = 2*u - u + l*b, -3*u = -3*b - 36. What is the lowest common multiple of (2 - 6/5)*10 and u?
8
Let z = 1/16689 - 851159/333780. Let v = -2/9009 + 105113/36036. Calculate the common denominator of z and v.
60
Suppose -o - k = 2 - 4, -o + k - 6 = 0. Let m = 173 + -79. What is the common denominator of m/(-2) - o/4 and 81/4?
4
Suppose 72 = -4*m + 2*m. Let t = -40/3 - -77/15. What is the common denominator of t and 267/m + (-2)/8?
15
Let q(l) = 7*l + 30. Calculate the smallest common multiple of 26 and q(-4).
26
Suppose 3*l + o + 4 = 2*l, -o = 0. What is the common denominator of -95/14 and 34/6*l/(-16)?
84
Let s = 173 + -163. Calculate the smallest common multiple of s and 28.
140
Let r(w) be the second derivative of w**4/24 + 8*w**3/3 + w**2 + w. Let m(q) be the first derivative of r(q). Calculate the least common multiple of m(0) and 2.
16
Let h(o) = -o + 8. Calculate the least common multiple of 12 and h(0).
24
Suppose 2*m - 3*c = 28, -4*m + 8*m - 3*c = 50. What is the lowest common multiple of m and 8?
88
Let b be (163367/4)/(7/2). Let q = -11662 + b. Calculate the common denominator of 23/20 and q.
140
Let q be 0 - 79983/20 - -1. Let k = -3999 - q. Calculate the common denominator of -81/4 and k.
20
Suppose -2*t - 190 = -2*q, q = -2*t - 4*q - 169. Let s = -42 - t. Let l = 3436/153 + -446/17. Find the common denominator of s and l.
9
Let h = -2/57261 - 884311/1526960. Let t = h + 11/48. What is the common denominator of 107/22 and t?
220
Let c = 1 + 2. Suppose -4*b + 16 = f, 0*f = 3*f + 3*b - 48. Suppose 0*x - f = -2*x. What is the least common multiple of c and x?
24
Let i(t) = 8*t**2 - t. Suppose -3 + 0 = -3*x. What is the least common multiple of i(1) and x?
7
Find the common denominator of (-1)/(-2)*62/10 and 71/10.
10
Let y be 2/(-541)*183755/(-360). Let b = -14/541 + y. Find the common denominator of b and 49/2.
36
Suppose -y + 5 + 0 = 0. Suppose 3*h = 2*k - 15, 4*h - 40 = k - y*k. Let z = -23 - -33. Calculate the least common multiple of k and z.
90
Let c = 303 + -487. Find the common denominator of (1 - c/20)/(-1) and 47/4.
20
Suppose 10 = v - 0*v. Let g be ((-8)/v)/(2/(-5)). Let q = g - -2. Calculate the lowest common multiple of 14 and q.
28
Let j = 2159807/179 + -12066. Let l = -8455/1074 - j. Let c = -410 - -857/2. Find the common denominator of c and l.
6
Calculate the lowest common multiple of 18 and (1/(-2))/((-2)/72).
18
Calculate the lowest common multiple of 3/21 + (-375)/(-21) and 42.
126
Let h(u) = -6*u - 22. Calculate the smallest common multiple of 16 and h(-5).
16
Suppose 4 = -2*i, 5*u - 5*i = 48 + 102. What is the lowest common multiple of 6 and u?
84
Let y = 37 - 14. Let a = -8 + y. What is the common denominator of -23/6 and 6/a*(-1490)/24?
6
Let b(p) = p**2 + 2*p + 2. Let f = -19 + 30. What is the lowest common multiple of b(2) and f?
110
Let v(c) = c**3 + 2*c**2 - 2*c - 2. What is the lowest common multiple of v(-2) and 2?
2
Let k be 5/(-2198)*175109075979/(-5). Let y = k + -79667496. Let s = 1/1099 + y. Calculate the common denominator of 50 and s.
2
What is the common denominator of 107/40 and (-12)/(-18)*(-21)/(-72)?
360
Let w = 8/547 + 12461/8205. What is the common denominator of 42 and w?
15
Let q = 11/60 + -47/20. Let y = 575/2 - 2251/8. What is the common denominator of q and y?
24
Suppose -d - 14 = -0*b + 4*b, -5*b = d + 17. Let v be 30/24 + 2/(-8). What is the least common multiple of 8 and 8 - (1 - v - d)?
24
Let q = -166175/22 + 7551. Calculate the common denominator of q and -101/14.
154
Suppose -2*c + 496 = 5*h, 5*h - 403 = 5*c + 72. Suppose 5*f - 105 = -2*a - 39, 5*a - f = 138. What is the common denominator of 81/4 and ((-24)/a)/((-2)/h)?
4
Suppose -42 = k + 293. Calculate the common denominator of 788/18 + (-4)/(-18) and k/100 + 3/(-4).
10
Let z(k) = -k**2 + 4*k. Calculate the smallest common multiple of 1*1/(-2)*(-25 + 17) and z(3).
12
Let m(q) = -q**2 - 14*q + 20. What is the lowest common multiple of m(-14) and 4?
20
Suppose -3*n = -r - 6, -r + 0 = 4*n - 1. What is the least common multiple of n and 20?
20
Suppose 4*i + 14 = 46. What is the smallest common multiple of 20 and i?
40
Suppose -6 = -g - 3*f, -g + 38 = -8*f + 3*f. Calculate the lowest common multiple of 9 and g.
18
Suppose x = -0*x + 27. Let d = 473/7 - 70. Calculate the common denominator of d and 2 + (21/x)/(-1).
63
Let v = 138349/12 - 11541. Find the common denominator of -59/22 and v.
132
Suppose -5*x = r - 4 + 17, -128 = 5*r + 4*x. Let s be (-8)/r + (-1021)/28. Let b = 402/7 + s. Find the common denominator of b and 107/14.
28
Suppose -4*z = 3*r, -3*z - 2*z - 15 = 0. Calculate the lowest common multiple of (-21)/r*32/(-12) and 22.
154
Let m = 69/101 + -13241/606. Find the common denominator of m and -83/18.
18
Suppose -5*r - 6 = -21. Let i = -1 - -3. What is the lowest common multiple of r and i?
6
Suppose -5 = v, 4*v - 5 + 33 = 4*c. Let j(z) = -z**3 - 5*z + z**2 + 3 - c*z**2 - 5*z**2 + 0*z**3. What is the least common multiple of 2 and j(-5)?
6
Let i(r) = r**3 - 7*r**2 + 6*r + 4. Let o be i(6). Suppose x - o*x + 6 = 0. What is the common denominator of (-91)/10 + (x - 2) and -43/16?
80
Find the common denominator of (-8 - (-630)/81) + 1778/(-180) and -93/52.
260
Suppose d + 9 = 5*s, -15 = -3*d - 0*d + s. Suppose 0 = -0*n - 