r of -58/7 and w.
567
Let o(u) = -u**3 - 19*u**2 + 117*u - 68. Calculate the lowest common multiple of o(-24) and 928.
928
What is the least common multiple of 105 and (10 + -17)*(-30)/7?
210
Let d = 808619/3114280 - 1/29945. Let r = 2701/312 + d. Calculate the common denominator of (-2 - (-498)/80)/((-15)/(-20)) and r.
60
What is the common denominator of (-210)/60 - 632/(-32) - 13 and 3/252*201/(-10)?
280
Let g = 115 - 94. Suppose 2*o - 2*q - 28 = -0*q, 3*q = 3. What is the least common multiple of g and o?
105
Suppose 16 = 16*k - 32. What is the least common multiple of 3126 and k?
3126
Let w(y) be the second derivative of y**5/20 + y**4/3 + 2*y**2 + 69*y. What is the least common multiple of w(-4) and 78?
156
Let l = 16923/4 + -4210. What is the common denominator of 13/91 - 4254/672 and l?
16
Let x = 10861 - 10037. Calculate the smallest common multiple of 18 and x.
7416
Let f = 2439/2 - 131581/108. What is the common denominator of f and -31/513?
2052
Suppose -4*r + 5*q = 7 - 1, 5*r = -q - 22. Calculate the common denominator of -95/8 and 1900/(-720) - (16/18)/r.
24
Let m(c) be the second derivative of c**4/12 - 13*c**3/6 - 7*c**2/2 - 9*c. Let v be (7/4)/(8/64). Calculate the lowest common multiple of 4 and m(v).
28
Let k = 14513 + -11615. Calculate the least common multiple of 154 and k.
31878
Suppose -4*k = -6*k - q + 27, -48 = -3*k + q. Find the common denominator of 1 - 4/32*(-1090)/k and 145/12.
12
Suppose 4*k + 8 = 2*r - 0*r, -3*k + 5*r = -1. Let g be (1 - (k - -3)) + (-1314514)/(-88). Let t = g + -14938. Find the common denominator of t and 17/4.
44
What is the common denominator of ((-399)/(-351) - -3)*51/680 and 34/117?
1170
Let f = -49999/2 + 24991. Calculate the common denominator of f and -49/690.
690
Let a = 152 + -81. Suppose -k = 3*k + l - a, 2*k - 38 = 2*l. Suppose -3*m + k + 24 = -c, -c - m = 38. Calculate the common denominator of -117/10 and c.
10
Let w(p) = p**2 - 28*p + 41. Let k be w(27). Find the common denominator of ((k/(-2))/(-231))/((-1)/(-47)) and -77/24.
264
Let l(m) = -m**3 - 14*m**2 - m - 16. Let y be l(-14). Calculate the smallest common multiple of 2/4*(2 - y)*3 and 66.
66
Let o = 11549 + -7218137/625. Find the common denominator of 27/275 and o.
6875
Let r = -85 + 97. Calculate the common denominator of -55/9 and (141/r)/((-6)/(-4)).
18
Suppose 4*r - 18 = 5*t - 51, 0 = -4*t - 12. Let y = 21476 - 472387/22. What is the common denominator of y and (-89)/r - (-8)/(-16)?
132
Let s = -799 + 2301. What is the least common multiple of 20 and s?
15020
What is the common denominator of 9 + -15 + (165/198)/((-4)/(-11)) and 53/1806?
7224
Let l = 424999 + -4173915173/9821. Calculate the common denominator of l and 48.
9821
Let m be (-3634)/(-14648) + (-2)/8. Let y = m - 831071/106198. Let t = -9081/986 - y. What is the common denominator of t and -31/20?
340
Suppose 0 = -2*a - 4*s + 192, -4*s + 165 = 4*a - 219. What is the least common multiple of (-4 + 31 + 3)*1 and a?
480
Let k = 48 + -34. Let m = -39 - -43. Suppose -f - 48 = -m*f. Calculate the lowest common multiple of k and f.
112
Suppose 0 = -3*q - 21, 3*q - 1225 - 8610 = -2*u. Calculate the smallest common multiple of u and 14.
4928
Let i(u) = -u**3 + 7*u**2 - u - 5. Let a(q) = 26*q**3 + 33*q**2 - 45*q + 10. What is the least common multiple of a(1) and i(5)?
120
What is the least common multiple of 972 and -6 - (440/(-16))/((-1)/(-12))?
972
Let w be 5 + ((-1)/2)/(967/9586). Let x = -154427/29010 - w. Calculate the common denominator of 79/24 and x.
120
Let l be ((3/(-2))/((-3)/(-284)))/1. Let j = l - -42. Find the common denominator of 57/120*j/(-8) and 31/12.
48
Let m = 760 + -640. Suppose 128 = 4*l - 4*z, 5*z - m = 31*l - 34*l. What is the least common multiple of l and 5?
35
Suppose -5*y - 3*o = -8, 89*y - o + 6 = 94*y. Calculate the smallest common multiple of y and 52 - 1/((-2)/(-4)).
50
Suppose 0 = 2*y - 6*y, 4*y + 60 = 5*r. Suppose 0 = -4*h + 4*w + 48, 0 = h - 4*w - 8 - 13. Calculate the smallest common multiple of h and r.
36
Suppose -5*d + 5*c = -390, 4*c + 21 = -d + 89. Let v(o) = 4*o**2 + 7*o - 10. What is the lowest common multiple of v(2) and d?
380
Let y be (-13)/(-39) - (-59)/3 - -4. Suppose y*p = -14*p + 2736. Calculate the smallest common multiple of 18 and p.
72
Suppose -5*q = 2*u - 202 + 9, -4*u = -3*q + 95. Find the common denominator of (q/(-333))/(2/21) and -5/57.
114
Let i = 37113 - 7459636/201. What is the common denominator of i and -76/297?
19899
Let f = -1965/8 + 234. What is the common denominator of -35/414 and f?
1656
Let n = -548/97 - -136820/25317. Let x = 4110367/30 + -137014. Find the common denominator of n and x.
2610
Let p = 17591/1710 - 644/57. What is the common denominator of -61/387 and p?
3870
Let y be -5 - -3 - 4/(-8)*6. What is the common denominator of (11 - 8)*(-46)/(-72) and (-3)/9*(y + -9)?
12
Let z(f) = -6*f**3 - f**2 - f + 4. Let q be z(2). Let k = 50 + q. Suppose 11*h - 18*h + 63 = k. Calculate the least common multiple of h and 3.
9
Let p = -175/61 - -145539/50752. Calculate the common denominator of 25/14 and p.
5824
Suppose 222*z = 172*z + 14150. Calculate the least common multiple of z and 2264.
2264
Let x(b) = 124*b**2 - 9*b - 8. Let c be x(-1). Suppose -5*p + c = 5. What is the smallest common multiple of p and 6?
24
What is the common denominator of -53/180 and 58*(-10 + (-4465)/(-456))?
180
Let q = 136/73 - -6013/730. What is the common denominator of 7/64382 and q?
321910
Let h = -352523 - -149469685/424. What is the common denominator of h and 67/32?
1696
Suppose 3*w = -z - 2*w + 642, -w = -3. Let p be 13 + (8 + (4 - 9) - 7). Suppose p*c - z = -2*c. Calculate the least common multiple of 30 and c.
570
Let n(c) = 13*c - 7. Let r = 143 - 123. What is the smallest common multiple of n(4) and r?
180
Let a be (-396)/(-11)*((-14)/8)/(-7). Let u = -51 - -84. Suppose 0 = -3*p + u + a. Calculate the least common multiple of 6 and p.
42
Let q = -13146 + 13479. Calculate the lowest common multiple of 15 and q.
1665
Let n(u) = 2*u**2 - 51*u - 435. Calculate the least common multiple of n(-7) and 852.
4260
Let j = -3721552003/5704 + 652446. Find the common denominator of j and 139/138.
17112
Let m be 2/(-9) + 4420/20025. Let t = m + -73417/5340. Let v = 773801/32 + -24182. Find the common denominator of t and v.
32
Let z = -202540418349990210367/5736978 - -35304374245463. Let v = z + 6/24517. Calculate the common denominator of v and 75/2.
234
Let z be (-6)/(-9)*54/(-12). Let a be 15 - (1 + z + 0)*-1. What is the common denominator of -67/6 and (-2 + 3)/((-30)/a)?
30
Let h be ((-2)/3)/(4 + (-19784)/4944). Let x = 416 - h. Let z = -161 + 235. Calculate the smallest common multiple of x and z.
148
Suppose 2*b - l = 32, -2*b + l - 24 = -4*b. Suppose -2*p + 4*t + 138 = 0, 11 - 65 = -p - 3*t. Calculate the lowest common multiple of b and p.
126
Suppose -l - 6 = -0. Let m = 2243/1962 + -7/218. Calculate the common denominator of m and l/12*(-194)/(-28).
252
Suppose 19*u - 2407 = 3065. Suppose -4*n = -5*x + 9*x - u, 288 = 4*n - 3*x. Calculate the smallest common multiple of 12 and n.
72
Let z = -10439 - -114791/11. Calculate the common denominator of z and 37/40.
440
Let u be 1/(15/711)*(44 + -39). Let c = 283 - u. Calculate the lowest common multiple of (2/1)/(1/7) and c.
322
Let j(t) = t**3 - t**2 + 3. Let y = -20 + 20. Calculate the lowest common multiple of j(y) and 9.
9
Let o(q) = q + 28. Let h(s) = -3*s - 85. Let x(k) = 2*h(k) + 7*o(k). Suppose -4*f + 16 - 40 = 0. Calculate the least common multiple of x(f) and 4.
20
Let i = 23 - -13. Let y = -30 - -42. Let d(s) = -s**2 + 14*s - 6. What is the lowest common multiple of d(y) and i?
36
Let v = 299 - 232. Let o = v - -98. What is the least common multiple of 180 and o?
1980
Let w(z) = -2*z**2 + z + 2. Let s be (-70)/(-14) - (0 + 3). Let v be w(s). What is the lowest common multiple of 33 - (-4)/v - -4 and 18?
36
Suppose 448 = 21*s + 3472. Find the common denominator of 8 - (-4)/s*332 and -44/45.
45
Suppose -227*n + 222*n + 5*w + 1430 = 0, 836 = 3*n + 8*w. What is the lowest common multiple of n and 852?
852
Let u(r) = 658*r**3 + 3*r**2 + 7*r - 8. Let a be u(1). Let c(d) = d**2 + 4*d + 4. Let k be c(-3). What is the common denominator of a/576 + k/(-3) and -11/