u = -6456135089183683/103935 + 62117045164. Let k = u + -14/845. Find the common denominator of k and -91/18.
738
Let k(o) = 2*o**3 - 2*o**2 - 2*o. Suppose -2*l - 2*f = -12, 0*l = 3*l - 2*f - 3. Suppose -82 = -7*x + 23. What is the lowest common multiple of k(l) and x?
30
Let n(f) be the first derivative of -2*f**2 + 7*f + 17. Let h be n(0). What is the common denominator of (-183)/18 + 7/h and -53/5?
30
Let j = 13 - 20. Let s be (1 - (4 + j)) + 0. Let h(z) = 4*z - 8. What is the least common multiple of h(s) and 22?
88
Let s = 147887 - 71281483/482. Find the common denominator of -91/30 and s.
7230
Let c be 8/(-6) - (-52724)/39438. Let n = c - -45931/22536. Calculate the common denominator of n and -151/24.
24
Suppose 10*u - 9*u - 2964 = -5*q, 0 = -3*q + 5*u + 1756. What is the least common multiple of 20 and q?
2960
Suppose -5*c + 2472 = 3*y, 7*c = 2*y + 12*c - 1658. What is the smallest common multiple of y and 462?
17094
Find the common denominator of ((-141504)/1277100 - 1/(-9))*(-14 - -1) and -149/30.
6450
Suppose -2*n + 172 = -884. Find the common denominator of -22/9 and (-35)/20 + 2 - (-1180)/n.
99
Let u(v) = 7*v**2 - 36*v - 70. What is the least common multiple of 1374 and u(-2)?
6870
Suppose 0 = 426*h - 415*h - 1023. What is the smallest common multiple of h and 5?
465
Let h(o) = -o**3 - 20*o**2 + 39*o - 85. Let x be h(-22). Find the common denominator of 56/25 and (-2 + 215/x)/((-6)/(-4)).
25
Let o be (4 + 1 + 6 - -1)/(-2). Calculate the common denominator of 19/20 and 7*(-109)/(-840) - (-4)/o.
120
Let w be 10/2*(-58)/1. Calculate the common denominator of 1*(-453)/18 - -6 and 4/(-20) - 528/w.
174
Let q = -125 - -122. Calculate the common denominator of -103/14 and q/(-27) + 1045/99.
42
Let b = -184 - -180. Find the common denominator of -13/44 and ((744/(-63))/4)/(b/(-9)).
308
Let i(d) be the first derivative of -d**3/3 + 12*d**2 + 10*d - 6. Let q be i(25). What is the smallest common multiple of -3 + 25/q*-15 and 4?
44
Suppose 5*l = 5*k, k + 12 = 2*l + 5. What is the smallest common multiple of l and 10932?
76524
Let r = 292 + -148. What is the smallest common multiple of 774 and r?
6192
Let r = 11026/19 - 12458753/21470. Calculate the common denominator of r and 30/1469.
14690
Suppose 166 - 4 = -18*i. What is the lowest common multiple of 12 and 30/i*(-540)/50?
36
What is the lowest common multiple of 320 and ((-188)/(-705))/((-2)/(-3))*25?
320
Let o = -5477/408 - -202/17. Find the common denominator of o and 79/2025.
16200
Let d be (-18)/(-1) + (-64 - -60). Suppose 4*i + d*i = 972. Calculate the least common multiple of i and 24.
216
Let b = -51/18359 + -288364303/183590. Let r = b - -1579. Calculate the common denominator of r and 70/39.
390
Suppose -13*t = 816 - 868. Calculate the least common multiple of 6084 and t.
6084
Suppose -51474 = 4*m + 2*m. Let i = -223081/26 - m. Calculate the common denominator of i and ((-1940)/350)/(32/(-40)).
182
Let y be (1 - (-1 - -4))/(-1). Suppose 0 = 3*w - 4 - 11, -y*a + 53 = -5*w. What is the lowest common multiple of -1*(11 + 1)/4*(-174)/261 and a?
78
Let h = 2/34447 - 329715/137788. What is the common denominator of 0 - 3/8*7/((-336)/268) and h?
224
Let y = 587 + -585. Suppose -6 = 97*v - 103*v. Calculate the smallest common multiple of v and y.
2
What is the lowest common multiple of 368 and (-1 + 38/6)/(56/25116)?
4784
Let g = 83 + -80. Suppose 0 = -4*p + f + 224, -g*f = -5*p + 93 + 187. Calculate the least common multiple of p and 56.
56
Let b = -40 + 560. Suppose b = 9*m - 47. Calculate the smallest common multiple of m and 45.
315
Let l = 14755 - 14006. Calculate the least common multiple of 642 and l.
4494
Let s = 4028 - 40191/10. Find the common denominator of s and 79*((-6030)/(-3024) + -2).
840
Let r = -177771/26530 - -2/2653. Calculate the common denominator of ((-4)/(-10))/(8/(-148)) and r.
10
What is the common denominator of 44/222 - 158/(-1896) and 57/296?
888
Let q(k) = 6*k - 162. Let m(u) = u**3 - 21*u**2 + 23*u - 29. Let d be m(20). Calculate the least common multiple of q(d) and 72.
72
Suppose -6 = -r, 14*s + 30 = 17*s + 2*r. Let z(o) = o**3 + o + 87. Let t be z(0). Suppose -4*h + h = -t. What is the lowest common multiple of s and h?
174
Let j = 2872 + -8218. Calculate the common denominator of 11/(j/2548) + 10/2 and -55/27.
243
Let q = -14/139387 - -10618822/252987405. What is the common denominator of -16/27 and q?
16335
Suppose 5*s + 11*s = 13*s. Suppose -f - 7*f + 1296 = s. Calculate the lowest common multiple of f and 2.
162
Let j be ((-4)/(-3))/((-1)/(-24)). Suppose 4*u + 90 = -3*i, -u + 5*i - i - j = 0. Calculate the least common multiple of (u - -20)*11/(-4) and 6.
66
Let h = -2567 - -53920/21. Let x = -569 - -533. Calculate the common denominator of h and (-840)/18*(4 + 138/x).
63
Let i = -17/8 + -1/8. Let y be 115564/5876 - (2 + 0). Let h = y + -2/4407. What is the common denominator of h and i?
12
Calculate the common denominator of -121/4370 and (-444)/814 + (2/(-88))/((-20)/(-1038)).
17480
Let z = 269753/188205 - -1/25094. Find the common denominator of (-6)/(-36) - (-274)/(-150) and z.
150
Let u = -2175 - -2191. Let a = 14 + -2. Calculate the smallest common multiple of u and a.
48
Suppose 1523 = s - 4*q, 0 = -3*s - 4*q + 1354 + 3135. What is the smallest common multiple of s and 6?
3006
Calculate the smallest common multiple of 2/7 - 38970/(-21) and 1392.
5568
Let v be (3/(-7))/(14/(-98)) + -3. Suppose 30*p - 31*p + 5 = v. What is the smallest common multiple of p and 90?
90
Calculate the lowest common multiple of ((-6524)/(-9))/(-7)*-4 - 22/99 and 90.
2070
Suppose 3*k - 7*k + 440 = 0. Suppose 0*x - k = -5*x. Suppose 4*q = 10*r - 9*r + 6, 0 = -r - q + 9. What is the smallest common multiple of r and x?
66
Let x = -17578 - -246195/14. Find the common denominator of -125/2742 and x.
19194
Suppose -15*p + 14*p = m - 9, -4*m + 12 = 0. What is the common denominator of 11/282 and (120/63)/(p/7)?
846
Let n = -168 - -314. Calculate the common denominator of (n/120)/(122/183) and -51/35.
280
Let m(g) = g**3 - 10*g**2 - 11*g + 9. Let t(n) = -10*n - 48. Let r be t(-6). Let i be m(r). Let l = 2257/14 - i. What is the common denominator of -17/18 and l?
126
Let j = -1755 - -1905. What is the least common multiple of j and 16?
1200
Suppose 25*j - 29*j = -244. Let i = 40 - j. Let q = 48 + i. Calculate the smallest common multiple of 21 and q.
189
Calculate the common denominator of 107/154 and 3/((-120)/76)*(-50)/(-875).
3850
Let z = -2030921/58 - -35015. Find the common denominator of z and -45/464.
464
Let n = 8808 + -866. Calculate the smallest common multiple of 2 and n.
7942
Calculate the smallest common multiple of 774*(276/18 - 14) and 774.
3096
Let m(a) = -25*a + 512. Calculate the least common multiple of m(20) and 117.
468
Calculate the common denominator of (1 - (-4)/(-2160)) + (-12)/16 and 61/495.
2970
Let f = -17/733 + -16357/148066. Find the common denominator of f and 73/36.
3636
Let v(y) = -19611*y + 130. Let r be v(7). Let h = 48138559/351 + r. Calculate the common denominator of h and -109/30.
3510
Calculate the common denominator of -5/9 and (-24618)/(-354552) - (-4)/(-158).
612
Let y = -341 + 950. Calculate the smallest common multiple of 696 and y.
4872
Suppose -5*t + 106 = -99. Suppose t = 8*q + 1. What is the least common multiple of 8 and q?
40
Suppose -2*d + 53 = -3*t, 7*d - 56 = 5*d + 2*t. Suppose -d*h + 36 = -27*h. Let y = 34 + -7. Calculate the least common multiple of h and y.
27
Suppose 227 = 298*q - 293*q + y, 3*q + y - 137 = 0. What is the smallest common multiple of 490 and q?
4410
Let a = -79 + 173. Let s = -44 + a. What is the common denominator of (-38)/(-8)*(-120)/s and -32/23?
115
Let r(w) = 4*w**2 + 4. Let z = -596 + 672. Suppose -5*v - 15*q = -16*q - 101, 4*v = -4*q + z. Calculate the lowest common multiple of r(-4) and v.
340
What is the common denominator of 145/6 and (-193842)/(-2539152) - (-2)/(-28)?
5496
Let u(o) = 6*o**2 + 130*o + 210. What is the lowest common multiple of u(-24) and 24?
2184
Let a(y) = -y**3 - 13*y**2 - 14*y + 4. Let l be a(-11). Calculate the smallest common multiple of 8 and (144/(-7))/(-2 + (-150)/l).
96
What is the common denominator of (-2)/((-1568)/(-5377)) - -6*168/144 and 97/2744?
5488
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