41820/262792 - ((-18)/(-14) - (-4)/(-14)) and -65/14.
4298
Let u = -192027/25 - -7680. What is the common denominator of -21/50 and u?
50
Let x = -9631 - -9955. What is the least common multiple of 360 and x?
3240
Let m = -1135723/424634 - -1550/619. What is the common denominator of m and -99/112?
5488
Let o = 4768 + -133501/28. What is the common denominator of 9/476 and o?
476
Suppose -80 = -4*v + 4*k, -3*v + 0*v + 52 = -5*k. Suppose -3 = j - 3*u + 11, u - 3 = 2*j. Calculate the least common multiple of 1 + j - 31*-1 and v.
264
What is the smallest common multiple of -1 + -1 - -183*(-168)/(-63) and 135?
2430
Suppose -3 = q - 4*q. Calculate the common denominator of 783/18 - q/(-2) and 3/4*((-13216)/294)/(-8).
14
Suppose -3*h - 42 = 3*f, 3*f + 5*h + 38 = 4*h. Let k = -9/194 - -1914/485. What is the common denominator of (-230)/f - (-6 - 96/(-18)) and k?
30
Let k be (-64)/13740*(6 - 0). Let a = 65987/56105 - k. What is the common denominator of 24/49 and a?
49
Suppose 2*l + 167 = 177. Let q be 5/2*6/l. What is the common denominator of -17/3 and 3245/(-525) + q - (-2)/(-7)?
15
Let v(x) = -x**3 - 10*x**2 - 13*x + 18. Let g be v(-8). What is the smallest common multiple of (-1 + (-9)/(-6))*(146 + g) and 77?
770
Let j be (-36)/(-6) + -3 + 62609/(-21238). Let o = -4/259 + j. Find the common denominator of -87/10 and o.
410
What is the least common multiple of 8540 and 1/8 + 130/(-16) - -17?
76860
Suppose 85 - 193 = -3*a. What is the lowest common multiple of 1176 and a?
3528
Suppose -32*v + 2 = -34*v. Let y(w) = 3*w**2 - w - 2. What is the smallest common multiple of y(v) and 22?
22
Let x = 34065 - 1430623/42. Find the common denominator of x and 67/1602.
11214
Suppose -3*x + 5*n + 38 = 0, 23*x - 22*x + 2*n + 2 = 0. Suppose 3*r + 4*l = 119, -3*r = -3*l - 30 - 54. What is the smallest common multiple of x and r?
66
Let b be (-173276)/43680 - ((-246)/78 + 3). Let v = -68/21 - b. Calculate the common denominator of v and 149/72.
360
Suppose 0 = g + 4*g - 75. Let c(v) = v**3 - 5*v**2 + 13*v + 7. Let b be c(5). What is the smallest common multiple of g and -5*(b/(-30))/2?
30
Let p be (-16766)/22 + (-1)/(-11). Find the common denominator of ((p/(-12))/((-15)/(-4)))/(-4) and 34/15.
30
Suppose 3*y - 207 + 15 = 0. Suppose 414 = 7*o + y. Let j = -18 + o. Calculate the smallest common multiple of 12 and j.
96
Let l(i) = -2*i**2 - 16*i + 3. Let m be l(-8). Suppose t + 40 = -2*c, 6*c + 5*t = m*c - 46. Calculate the least common multiple of 62/(-155) + c/(-5) and 16.
16
What is the common denominator of -29/3120 and (6 - 60/9)/(20/(-5175)*5)?
3120
Let q(l) = -9 + 47 - l - 4 + 2*l. Let r(d) = -d - 35. Let a(p) = 3*q(p) + 2*r(p). What is the smallest common multiple of 10 and a(-22)?
10
Suppose 0*v - 3*v + 5*k + 47 = 0, 5*v = -2*k + 68. Suppose -26 = -t + v. Calculate the lowest common multiple of 80 and t.
80
Let p(f) = -6*f - 22. Let z be p(-4). Let t be (-1703)/(-39) + z/6. What is the common denominator of 6*(t/(-56) - -1) and 17/9?
63
Find the common denominator of ((-16)/(-84))/((-4)/(-26)) and (-6)/(-90)*(5 - (-35)/(-21)).
63
Let j = -14 - -32. Calculate the least common multiple of 2 + -1 + (2 - -24) and 20/3*j/4.
270
Suppose -4049 + 27128 = 49*u. What is the lowest common multiple of u and 9?
1413
Suppose 3031*i = 3056*i - 450. Calculate the lowest common multiple of 3279 and i.
19674
Let n = 553 + -538. Suppose 10 + 20 = n*q. What is the smallest common multiple of q and 488?
488
Suppose -44 = -c + 4*z, 2*c - 2*z = 61 - 3. Let x(l) = 3*l**2 - 6*l + 8. Calculate the lowest common multiple of x(6) and c.
240
Let j(a) = 7*a**2 + 2*a - 2. Suppose -3*r + 36*c = 34*c - 437, 8 = 4*c. Let t = 174 - r. What is the smallest common multiple of j(2) and t?
270
Let p(w) = 57*w - 1349. Calculate the least common multiple of 209 and p(27).
2090
Find the common denominator of 117740/46368 - 2 - 2/4 and 15/46.
1656
Let u = -98 + 166. Let l = -46 + u. Suppose 4*o - 31 = p, 0*p + 4*p = -4*o + 16. Calculate the lowest common multiple of o and l.
154
Let g = 92 - -145. Let b = -141 + g. What is the smallest common multiple of 24 and b?
96
Find the common denominator of (-15*(-15)/(-9) - -5)*2/6 and -37/440.
1320
Let i = 2704 - 51362/19. Let h = i - -143/38. Find the common denominator of h and 131/24.
24
Let p(b) = b**3 - 6*b**2 - 40*b + 32. Calculate the smallest common multiple of 222 and p(10).
3552
Let r be (-48)/4 - 9*(-4)/12. Let q(s) = 17*s + 207. What is the lowest common multiple of q(r) and 33?
594
Calculate the smallest common multiple of 17 and -8*(-10 - (-786)/48 - 7).
85
Suppose 5*j + 2*s - 16 = 0, 5*j - j - 20 = 2*s. Suppose 7*x + v = 2*x + 1725, -3*v + 1391 = j*x. Calculate the smallest common multiple of x and 2.
344
Suppose 0 = 7*q + 1 + 125. Suppose 0 = -o - a + 3, 9 + 24 = -4*o + 5*a. What is the least common multiple of 9 and (7/o)/(3/q)?
63
Let a(s) = -568*s + 2365. What is the least common multiple of 321 and a(4)?
9951
Let u = 319367999/7 + -45350275. Let q = -271733 + u. Let l = q + -1988. Calculate the common denominator of 41/10 and l.
70
Calculate the least common multiple of 296 and (2*(7 + -5))/(16/1480).
1480
Let c = 2282/185 + -5/37. What is the common denominator of (-8)/32 - 23/(-100) and c?
50
Let s(y) = 15*y**3 - 3*y**2 + 4*y - 4. What is the lowest common multiple of s(2) and 816?
5712
Let t = -130 + 320. Let i = t - 140. Calculate the smallest common multiple of 20 and i.
100
Let s(t) = -t + 22. Let g be s(-14). Let z be 189/g*1/((-3)/(-8)). What is the common denominator of (-1)/21 - z/21 and 47?
7
Let l = 308928587/5617206 + -213/44581. Let h be (-10258)/210 - (322/70)/23. Let x = h + l. Calculate the common denominator of -85/38 and x.
342
Let j(n) = 2*n**3 + 24*n**2 + 59*n - 4. What is the lowest common multiple of 12/5*40/3 and j(-8)?
288
Let a be (2 - 27/13)*-46011. Let v = 3543 - a. Calculate the common denominator of (14 + 5798/(-390))*6/4 and v.
130
Let r = 3608 - 3602. Calculate the lowest common multiple of 366 and r.
366
Let z = 34509/2044 - 990/73. What is the common denominator of z and 3451/(-290)*(6 - 117/18)?
140
Suppose -3*d + 0*q = -q - 15, -3 = -q. Let x = d + -17. Calculate the common denominator of -2/3 and ((-94)/(-2))/(11/(x/60)).
60
Let x(f) = -15*f + 48. Let c be x(6). Let h = 46 + c. Find the common denominator of h/(-8)*3/((-81)/123) and 71/12.
36
Let i(h) be the second derivative of -17*h**3/6 - 63*h**2/2 + 6*h - 1. What is the smallest common multiple of i(-5) and ((-6)/4)/((-2)/24)?
198
Let t = 252 - 1248/5. What is the common denominator of t and 4/(-6)*(1246/(-8))/7?
30
Let z(o) = o + 11. Let d be z(-11). Let g be -4 + (-2 - -7 - -3). Suppose d = 9*k + g - 31. What is the lowest common multiple of k and 3?
3
Let p = -3537118/581 - -6088. Let d = p - -50467/4648. What is the common denominator of 83/10 and d?
40
Suppose -3*o - 4*h - 775 = 0, -755 = -0*o + 3*o - h. Let q = 445 + o. Calculate the common denominator of -25/8 and (-4)/2 + (-372)/q.
16
Let n(i) = -7*i**2 - 14*i - 3. Let h be n(-1). Let r be (22/(-5))/(3/30). What is the common denominator of 87/28 and h - (r/(-96) + 3)?
168
Let d be (66/(-12) - -4)*(-280)/6. Let b = d + -64. Calculate the common denominator of (2*b/96)/(2/(-20)) and 79/24.
24
Let u = 375898435/1182 - 318019. Calculate the common denominator of u and -31/6.
1182
Suppose -3*v = 3*w - 27, 3*v - 5*w = 4 + 7. What is the lowest common multiple of v and (0 + (27/4)/(-9))*-76?
399
Let n = -161452/27999 + 623/108. Find the common denominator of 89/6 and n.
12444
Let d(g) = -2*g**2 + 3*g - 3. Let o be d(-4). Let t be (1 - -1)*(-54)/(-10)*(-115)/(-138). What is the common denominator of -23/21 and o/(-24) + 1 - (t - 5)?
168
Let i = -342599 - -179864242/525. Let k = i - 2/25. Find the common denominator of k and 1*-1 - 28/(-120).
210
Suppose -2*a + 12 + 16 = 0. Calculate the least common multiple of (-21)/a*(-28)/6 and (-6)/14 - (-30)/21.
7
Suppose 0 = 12*a - 10*a. Suppose -3*u = -2*b - 50, -4*u = 4*b - a*u + 120. Let s = -10 - b. Calculate the lowest common multiple of 18 and s.
18
Suppose 0 = -3*a - 8 + 2. Let h = 13 + a. Let d(b) = -b**3 + 46*b**2 + 92*b - 1. Calculate the lowest common multiple of d(-2) and h.
77
Let u = -4445287302617/214742446 - 80/5651117. Let m = u + 229366