. Calculate the common denominator of 10/131 and q.
655
Let f = 112 - 107. Calculate the smallest common multiple of 15 and f.
15
Suppose 0 = -3*q - 3*s + 154 + 236, -2*q = -3*s - 280. What is the least common multiple of q and 8?
536
Let u(n) = -n**3 + 3*n**2 + 4*n - 2. Suppose -3*v = -5*o - 11, -3*v + 2*o = 2 - 19. Suppose 6*a - v*a = -10. What is the lowest common multiple of u(3) and a?
10
Let f(u) = -3*u**2 + 4*u**2 - 2*u**2 - 2*u**3 + 7*u**3 + 1 + 2*u. Let d be f(2). Suppose -3*s + d = -25. Calculate the lowest common multiple of 10 and s.
110
What is the common denominator of -25/138 and -5 + (-407)/198 + 4 + 0?
414
Suppose 0 = -21*u + 118 + 50. Calculate the lowest common multiple of (40/6)/((-3)/(-9)) and u.
40
Suppose -57*d + 1201 = 15*d - 239. Calculate the lowest common multiple of (4 - 7)*(-80)/6 and d.
40
Calculate the lowest common multiple of 11 and (-8)/(1 + (-5)/((-800)/(-165))).
2816
Suppose -318 = -5*q - 263. Suppose 0 = 5*o - 28 - 2. What is the smallest common multiple of q and o?
66
Let p = 11 - 7. Let c(z) = -z**3 + 4*z**2 + 2*z - 5. Let f be c(p). What is the lowest common multiple of 1/((1 + f)/16) and 28?
28
Let x = 21 - 12. Let f = 2 + x. Calculate the lowest common multiple of f and 16.
176
Let m = 21953464/539 + -40730. Let p = m + -41491/1078. Find the common denominator of 2/1 - (-34)/12 and p.
6
Let t be ((-20)/(-50))/((-2)/(-235)). Let a = -32 + t. What is the smallest common multiple of 30 and a?
30
Let g be (-4)/(-6) - (-446)/(-21). Let m = -2/208861 + -110487357/11696216. Let h = g - m. Calculate the common denominator of h and 107/24.
24
Suppose 0 = -12*a + 7*a + 25. Suppose 400 + 185 = -a*w. Calculate the common denominator of w/(-135)*54/8 and 89/14.
140
Let l = 3086/9 - 339. Find the common denominator of (19/(-2))/((-121)/22) and l.
99
What is the smallest common multiple of 330 + 3 + (-3)/((-9)/21) and 170?
340
Let z be -1 - -1 - (0 - 2). Let o = 8 + -5. Suppose 0 = -3*r + o*t + 15, -4*r - z*t = -5*r + 7. Calculate the least common multiple of 9 and r.
9
Let s = 2684 - 16057/6. Calculate the common denominator of s and 7/240.
240
Let h = 1797 + -14375/8. Calculate the common denominator of h and -49/10.
40
Let n = 285/34 + 214/85. Let s be -3 - (-2115)/(-5)*-1. Find the common denominator of n and 4/14 - 3312/s.
10
What is the common denominator of (-18)/24 + 2201/186 and 37/360?
360
Suppose 0 = 8*y - 11*y - 18. Calculate the common denominator of 1382/(-84) - y/21 and 127/6.
6
Let s(j) be the second derivative of -j**4/12 + 11*j**3/6 + j**2/2 + 4*j. Suppose 3*b - 25 + 4 = 0. What is the smallest common multiple of s(10) and b?
77
Suppose 4*s - 36 - 68 = 0. Let i = -42 + s. What is the smallest common multiple of 2 and (-1 + 2)/((-2)/i)?
8
Calculate the common denominator of 23/30 and 1985/(-4785) - (-8)/(-88).
870
Let b be ((-3)/(-2))/((-6)/(-16)). Calculate the common denominator of (-2)/b*(-238)/(-6) and (-63)/70 + -21 + 23.
30
Let p be 0 + 1 + 31168/84. Let w = p - 1132/3. Calculate the common denominator of w and 2 + 92/18 + -1.
63
Let i be ((-111)/(-2))/(((-143)/(-18))/(-13)). Let c = i - -91. What is the common denominator of c and 40/9?
99
Let z = 14 - -3. Let y(a) = 5*a**2 - 2 + 14*a + a**2 - z*a. Calculate the lowest common multiple of 3 and y(-1).
21
Let v = -43240/7 + 6142. Let k = v + 505/14. Find the common denominator of -2 - 47/6 - 0 and k.
42
Suppose 7*v = 4*v - 18. Let f be v/9 + 69/9. Find the common denominator of (-17)/2 + -4 + f and -5/22.
22
Suppose -13*v + 17*v - 80 = 0. What is the smallest common multiple of 24 and v?
120
Suppose -4*y - 30 = -9*y. Find the common denominator of 255/20 + y + 2/(-4) and -41/7.
28
Let y(b) = b**3 - 4*b + 4. Let f be y(2). What is the common denominator of (-1 + f)*-1 + (-193)/(-24) and -14/5?
120
Let q = 6116/7 - 874. What is the common denominator of q and 7/204?
1428
Let z(p) = -2*p**3 + 3*p**2 + 9*p - 2. Let d be z(6). Find the common denominator of (-5)/((-140)/d) - -3 and 63/5.
35
Let z(t) = -t + 7. Let w be z(7). Suppose h = -w*h + 12. Suppose 2*o + h + 4 = 0. Find the common denominator of -58/5 and o.
5
Let h(d) = -5*d**3 - 33*d**2 + 25. Let a(y) = y**3 + 8*y**2 - 6. Let o(s) = -9*a(s) - 2*h(s). Calculate the least common multiple of 11 and o(6).
44
Let f(v) = -2*v + 4. Let c be f(-2). Let g(s) = -s**3 + 8*s**2 + 2*s + 6. Calculate the smallest common multiple of ((-12)/(-15))/((-4)/(-110)) and g(c).
22
Let u = -1559363/42 - -37130. Calculate the common denominator of u and -31/12.
84
Find the common denominator of -29/114 and (-1)/6 + 750/540.
342
Let j(r) = r**2 + 5*r + 2. Suppose 3*n = 6, -4*m - 15 = 2*n + 1. Let i = 853 - 851. Calculate the smallest common multiple of i and j(m).
2
What is the common denominator of (-66)/(-64) - (-11 + 13) and -25/28?
224
Let m = -2177/120 - -131/10. Find the common denominator of (3 - (-78)/(-28))*248/(-36) and m.
168
Let t(q) = 3*q**2 - q - 9. Let c be t(-7). Find the common denominator of c/(-2)*(-21)/(-630) and -87/28.
84
Let p = 11 - 6. Suppose 4361 - 14471 = p*l. Let j = l - -44513/22. What is the common denominator of 103/20 and j?
220
Let u = 11343991 - 227055867/20. Let j = 8806 + u. Calculate the common denominator of 31/14 and j.
140
Let q = -13 + 21. Suppose -a - 1 + 4 = 0, 43 = 4*n - 3*a. Suppose 0 = 3*p - 41 - n. What is the smallest common multiple of p and q?
72
Suppose -16 = -7*u + 12. Suppose -4 = 2*q, -3*k - 2*k - 5*q = 0. What is the lowest common multiple of u and k?
4
Let n(a) = -a**3 + 23*a**2 + 21*a + 17. Let t be n(24). Let j = t - -63. What is the least common multiple of j and 9?
72
Let q(d) be the first derivative of 5/2*d**2 + 1/4*d**4 + 9 + 4*d + 2*d**3. What is the smallest common multiple of 22 and q(-4)?
176
Let z be (-5)/7 - (-2)/(-7). Let m = 1 - z. Let o(u) = u**2 + 30*u + 72. What is the lowest common multiple of o(-28) and m?
16
Let w be 1/2*(-54920)/(-132). Let t = -208 + w. What is the common denominator of 73/30 and t?
330
Let k = 108 - 106. Suppose -i + 3*v + 5 = 0, v = -k*i + 11 + 13. What is the lowest common multiple of 27 and i?
297
Let f = 526 + -895. Let q be 4/(-18) + (-325)/f. Let m = -1213/410 + q. Find the common denominator of m and 65/2.
10
Calculate the smallest common multiple of 33 and (3 + 3)*(-110)/(-60).
33
Let p(u) = -3 - 3*u - 4*u**2 - u**3 + 3*u**2 + 2 - u**2. Calculate the lowest common multiple of 8 and p(-2).
40
Suppose -149 = -4*a - 41. Let w = a - 16. Calculate the lowest common multiple of 1 and w.
11
Let u(l) = -2*l**3 - 4*l**2 - 10*l - 10. What is the smallest common multiple of 700 and u(-2)?
700
What is the common denominator of (1443/(-936))/(-3 + 39/12 - 0) and (110/(-96))/(2/(-3))?
96
Let u = 177588/35 - 5073. Find the common denominator of -39/385 and u.
385
Let p be (18/15)/(12/40). Let y = -6 - -9. What is the lowest common multiple of 17 - 4*y/p and 2?
14
Let j be 6/3 + -2 + 7485/6. Suppose 0 = -y + 2*n - 1291, -2*y - 3*n - 2561 = -0*y. Let x = j + y. Find the common denominator of x and -9/22.
22
Suppose -5*u - 18 = -3. Calculate the common denominator of (-13)/(-26) + 38/(-10) and 2*(u + (-3)/30).
10
Let p(q) = -q**3 - q + 12. Calculate the smallest common multiple of 36 and p(0).
36
Let c = 7 - 16. Let t be 367/c - 6/27. Let x = t + 457/11. Calculate the common denominator of 29/13 and x.
143
Suppose 3*s - 2*m = 32, 10*s - 3*m - 28 = 8*s. Calculate the lowest common multiple of 25 and s.
200
Suppose -105*b = -117*b + 36. Let k(p) be the second derivative of -4*p**3/3 - p**2/2 + p. Calculate the smallest common multiple of b and k(-1).
21
Suppose 3*k = -151 - 131. What is the common denominator of (-18)/(-12)*k/6 and ((-1)/1)/(13/(-19))?
26
Let f = -9588/31 - -2054219/6634. What is the common denominator of f and 67/2?
214
Let b = -365 - -1831/5. Let l be 1 + 11*(0 + -1). Calculate the common denominator of ((-11)/(-66))/(l/(-546)) and b.
10
Let p be 2 - ((12 - 1) + 0). Let b be 2/p - 322/9. Calculate the common denominator of 178/b - (3 - 3) and -95/4.
36
Suppose 5*d + 5*a - 45 = 0, 9*d - 4*d + a = 49. Calculate the smallest common multiple of d and 632.
3160
Find the common denominator of -77/18 and (2227/(-12))/17*2/1.
18
Let i(o) = -164*o**2 + 7*o + 6. Let m be i(-2). What is the common denominator of (m/(-80) 