-4*u + 4*p + v, -3*u + 5*p = -47. What is the lowest common multiple of u and 3?
9
Suppose 20 = 4*r - 0*r. What is the least common multiple of 7 and 7/(-1)*(-5)/r?
7
Suppose -3*u + 5*r + 3 = 0, -4 = -7*u + 3*u + 3*r. Let q be u + (-6)/(-3) + 3. Let d = 8 - q. What is the smallest common multiple of d and 11?
22
Calculate the common denominator of ((-81)/21)/(8/84) and 57/16.
16
Suppose -3*w = 5*w - 16. Suppose -w*n - 2*f + 6 + 2 = 0, -n = -4*f - 14. Calculate the least common multiple of n and 3.
6
Let k = 265 + -216. Calculate the least common multiple of 70 and k.
490
What is the smallest common multiple of (-15)/(90/(-516)) - 5 and 90?
810
Let z be (-40)/(-60) - 1/(24/(-32002)). Let j = z + -1336. Calculate the common denominator of 67/32 and j.
96
Let y = -3797679/80 - -47470. Find the common denominator of y and 17/64.
320
Let m be (-2)/(-5) + 15/25. Suppose -a + 4 = m. Suppose 2*i = a*c - 12, -5*c + i + 0*i + 27 = 0. Calculate the smallest common multiple of 2 and c.
6
Find the common denominator of 37/14 and (25515/(-200))/27 + 4/(-10).
56
Let q = -21899/12 + 1820. Calculate the common denominator of -67/44 and q.
132
Let i = 300323/12 + -165355/6. Let a = i + 2548. What is the common denominator of a and 107/6?
12
Suppose -24 + 124 = 5*x. Let r = x - 14. Suppose -3*y + 33 = 4*z, -3*y - 3 = -4*y. Calculate the smallest common multiple of z and r.
6
Let g = 49 - 31. Let m be 7/21 + (-106)/(-12)*2. Suppose -3*v + 3*u = -m, -3*v - 3*u = v - 10. Calculate the lowest common multiple of g and v.
36
Let t = 182 - 143. Calculate the least common multiple of t and 21.
273
Let a(r) = r**2 - 4*r + 8. Let s be 23/4 + 1/4. Calculate the lowest common multiple of 8 and a(s).
40
Suppose -25 = -3*p - 4*b, -2*b + 7 = -0*p + p. Let f be (-40)/6 - (-16)/24. Calculate the smallest common multiple of p and (20/f)/((-6)/18*1).
110
Let m(u) = -5*u + 14*u + 5*u**2 - 2 - 10 - 6*u**2. Let z be m(5). Find the common denominator of (50/17)/((-8)/z) and 31.
17
What is the common denominator of -139/12 and 3 + -5 - 3 - 1083/(-288)?
96
Calculate the common denominator of 1112/(-24)*2/(-4) and (2/(-24))/((-10)/1940).
6
Let h be (9/(-6) + 4/8)/(-1). Let v = 799 - 3978/5. Find the common denominator of (9 + -10 - 92/(-10)) + h and v.
5
Let r(z) = z**3 + 10*z**2 - 15*z - 19. What is the smallest common multiple of r(-11) and 3?
75
Let v = 866083/201410 + -2/20141. Find the common denominator of 149/120 and v.
120
Suppose -5*p - 15 = -5. Let b = p - -10. What is the smallest common multiple of b and ((-240)/140)/((-2)/7)?
24
Suppose 0 = -q + 5*j + 52, 6*j = 5*j. What is the smallest common multiple of q and 169?
676
Let r = 15 + -11. Suppose k - 8 = r*j, -k = k + j + 2. Suppose -q + k = -9. Calculate the least common multiple of 5 and q.
45
Suppose -31 = 5*w + 2*j, -3*j - 2*j - 5 = -2*w. Let o = -3539/140 + 178/7. Find the common denominator of o and 2*183/132 + w.
220
Suppose -38 = -4*w - 6. Suppose -58*t = -2*o - 62*t - 4, 5*o = -2*t + 22. What is the lowest common multiple of o and w?
24
Suppose -3*a + 18*a = 900. What is the smallest common multiple of a and 12?
60
Let o(z) = -23*z + 1. Let s = 13 - 14. Let g be o(s). What is the common denominator of ((-1)/g)/(24/(-3636)) and -89/10?
80
Let s(b) = b + 4. What is the least common multiple of s(-1) and 11?
33
Let r = -353 + 534. Suppose 7 = -4*u - r. Find the common denominator of u and 32/3.
3
Let d(k) = -3*k - 12. Let r be d(-9). Let c be r/(33/(-12) - -2). Let s = c + 27. Calculate the smallest common multiple of 2 and s.
14
Let a = 209 - 198. Calculate the lowest common multiple of a and 16.
176
What is the common denominator of (-21)/12*-5 + -2 and (2/(-9))/(13/169)?
36
Let w(r) = r**3 - 3*r**2 + 3*r - 6. Let o = -24 - -24. Suppose -6*v - v + 140 = o. What is the smallest common multiple of w(4) and v?
220
Suppose 5*s = -4*s + 2853. Suppose 8*j - s = 67. Suppose 0 = 3*b + 2*v - 20, -5*b + v = -3*v - j. Calculate the least common multiple of b and 12.
24
Suppose -1 = -2*w + 5*x, 0 = -5*w - 0*w - 3*x + 49. What is the smallest common multiple of 24 and w?
24
Let y(c) = c**2 - c + 24. Let f be y(0). Suppose x + 4 = -f. What is the common denominator of 609/(-36)*8/x and -9/8?
24
Suppose -m - 3798 = -4*m. Let g = m - 7559/6. Let k = -94 + 565/6. Find the common denominator of k and g.
6
Let l be 2/6 - (-19)/(-3). Let t(o) be the second derivative of -o**3/3 - 4*o**2 + 4*o. Calculate the least common multiple of 8 and t(l).
8
Let a be ((-18)/(-7))/(8/2982). Suppose 7408 = 22*t + 27670. Let p = t + a. Find the common denominator of p and 14/11.
22
Let z = 7787 - 62199/8. Calculate the common denominator of 49 and z.
8
Let q = 6359/464 - -12702769/4176. Let b = -3050 + q. What is the common denominator of 34/30*(-27)/6 and b?
90
Let d = 1683049/70 - 24045. Calculate the common denominator of d and 3/20.
140
Let u = 43 - 23. Suppose 5*x = 90 + 10. What is the smallest common multiple of x and u?
20
Suppose 6*t + 88 = h + 3*t, -5*h = 3*t - 422. What is the lowest common multiple of 68 and h?
340
Let x(o) = -o**2 - 10*o - 15. Let l be 9/6 - 51/6. Let b be x(l). Suppose -b*j - 12 = -10*j. Calculate the least common multiple of j and 2.
6
Let w(n) = -n + 19. Let z be w(16). Calculate the smallest common multiple of 6*(1 - (-20)/6) and (-2 + -1)*(-6 - (-10)/z).
104
Let r = -19843 - -654748/33. What is the common denominator of r and (0 + 2)*(-19)/(-36)?
198
Suppose -18*g + 3*o = -23*g + 403, 2*g - 165 = -5*o. What is the lowest common multiple of 96 and g?
480
Let c = -3400 + 81613/24. Let t be (-332)/3*(-33)/22. Find the common denominator of c and 2 - 6/2 - t/16.
24
Let n = -59782/9 + 6636. Let t = 64517/27 + -2388. What is the common denominator of t and n?
27
Suppose j - 4 = 0, 43 = 5*y - j - 263. Calculate the smallest common multiple of y and 6 - (0 - -1) - (7 - 8).
186
Suppose 0 = -q + 4*q + 10035. Let f = -336279/5 - -639017/10. Let j = q - f. Calculate the common denominator of 73/4 and j.
20
Let x be ((-2)/(-4))/(2/(-2530)). Let p be (1202/(-4))/(1/2). Let u = x - p. Find the common denominator of u and -4/3.
6
Let o = -25681/12 + 2144. Find the common denominator of -137/24 and o.
24
Calculate the common denominator of (-4)/(-120)*(-2525)/(-10) and 53/52.
156
Let u be 156126/(-144)*2/(-11). Let m = u - 2272/11. Find the common denominator of m and -34/15.
60
Let p(h) = 3*h**2 + 4. Let z be p(4). Suppose -z = -i + 3*i. What is the common denominator of ((-27)/33 + -4)/(-1) and i?
11
Calculate the common denominator of -51/10 and 226/175*((-42)/24 - -3).
70
Let d be 1 - 3 - (3 - 4). Let z = d - -4. Suppose -5*a - 5 = -2*b + 31, 5*b + z*a - 28 = 0. What is the smallest common multiple of b and 16?
16
Let g = 2583575927 - 29227994481358/11313. Let c = g - 18/419. Calculate the common denominator of 49/27 and c.
27
Let y = 92/85 + -7777/510. Calculate the common denominator of y and 58/309.
618
Let w be 50/(-111144)*2830/(-1). Let r = -1/2526 + w. Calculate the common denominator of r and (-43 + 2300/69)*(0 - (-3)/(-8)).
88
Suppose -120*j - 1564 = -137*j. Calculate the smallest common multiple of 138 and j.
276
Let x = 283 + -453. What is the common denominator of (16 + -6)/(268/44 + -1) and x/(-36) + (1 - 2)?
252
Suppose -2*r = 2*r + 32. What is the smallest common multiple of (6*-1*3)/(48/(-32)) and (r/10)/((-2)/5)?
12
Let x(d) = d**3 + 22*d**2 + 15*d - 46. Calculate the least common multiple of x(-21) and 16.
80
Let x = -477 - -3347/7. Suppose 5 = 2*o + 3*o. Calculate the common denominator of 2 + o + (-91)/(-56) and x.
56
Let r = 1187/8 - 148. Let i = 14 + -16. What is the common denominator of i + (-5 - 91/(-8)) and r?
8
Let p = -44129269/270 + 163442. Calculate the common denominator of p and 69/14.
1890
Let o(y) be the first derivative of -y**3 + y**2/2 - y - 10. Let r be o(2). Let v = r + 17. What is the least common multiple of 14 and v?
42
Let o = -18 + 22. Suppose -39 = -o*g - 5*t, -4*g + 43 = -0*g + t. Calculate the least common multiple of 6 and g/3 - (-8)/24.
12
Suppose -5*n + 25 = -45. Calculate the least common multiple of (-70)/(-315) - (268/(-9) - 0) and n.
210
Calculate the common denominator of 59/70 and (-15)/100*(-72)/28.
70
Let s = 12 + -7. Let p be 2*(50/4)/s. Suppose -p*h = -6 + 21. What is