.
30
Suppose -6*m + 5906 = -10588. Let q = -19291/7 + m. Find the common denominator of q and (104/222)/(4/(-6)).
259
Let t(w) = w + 21. Suppose -x - 3*x = 2*d - 14, 0 = x + 4*d. Calculate the lowest common multiple of t(x) and 60.
300
Let p = -62941/165270 - 34/2361. Calculate the common denominator of -53/70 and p.
210
Let s(d) be the third derivative of -43/6*d**3 + 27*d**2 + 3/8*d**4 + 0 + 0*d. Calculate the least common multiple of s(5) and 18.
18
What is the least common multiple of (-11 + 473/77 + 10)*(-266)/(-4) and 9?
342
Let m = 93 - -57. Suppose 3*r = 5*g + 130, -70 = -r + 140*g - 145*g. What is the least common multiple of r and m?
150
Let q = 936731/1564500 + -343/596. What is the common denominator of q and 29/84?
10500
Let z(n) be the third derivative of 0*n + 23/60*n**5 - 1/3*n**3 - n**2 + 0 + 0*n**4. What is the least common multiple of 33 and z(-1)?
231
Suppose 5*q - 3*z - 7635 - 1961 = 0, -z + 3856 = 2*q. What is the least common multiple of 2886 and q?
5772
Let f(o) be the third derivative of o**5/60 - o**4/12 - 11*o**3/3 + 25*o**2. Let l be f(-7). Let n = l - 37. What is the lowest common multiple of n and 11?
44
Suppose -5*l - 37*m + 33*m = -12, -6 = l - 2*m. Suppose 10*f - 276 - 4 = l. Calculate the smallest common multiple of f and 84.
84
Suppose -2*a = 3*a - 10. What is the smallest common multiple of 28 - (-63 - -98) - 26/(-2) and a?
6
Let f(m) = -10 + 14 + 3*m - 8. Let n be f(-8). Let j = n + 40. Calculate the least common multiple of j and 22.
132
Suppose 178*x - 63585 = 163*x. Calculate the least common multiple of x and 9.
4239
What is the common denominator of 9/3740 and (-19)/(-10)*9/(-16)*26/39?
14960
Let w be (18/4)/(232/(-128) + 2). Suppose -375 = w*o - 29*o. What is the lowest common multiple of 20 and o?
300
Let y(a) = 2*a**3 + 47*a**2 - 81*a - 134. Calculate the least common multiple of 76 and y(-25).
304
Let c = -217 + 217. Calculate the common denominator of (-168)/(-32) + c - 8 and -28.
4
Let j = 26 - 17. Suppose -3*p + 0*p = -4*f + 525, 3*f + 3*p = 399. Suppose -5*h = -j*h + f. What is the lowest common multiple of h and 9?
99
Suppose 5*a - 25 = 0, 2*g - 8 = -0*g + 2*a. Suppose -3*t = -g*t + 18. Suppose t*x - 7 = 17. What is the smallest common multiple of x and 34?
136
Suppose -1455 = -8297*p + 8294*p. What is the least common multiple of 20 and p?
1940
Let u = -2083454/93 + 22402. Let f = 2266231/24 + -94428. Find the common denominator of u and f.
744
Suppose -83*o - 5*o + 81189 = 9*o. What is the least common multiple of 18 and o?
1674
Suppose d - 35 = -27. Suppose 9*m - 13*m = -d. Suppose -20 = -c - 4*x, 5*c + 35 = -m*x + 81. What is the smallest common multiple of 2 and c?
8
Let r(x) = x. Let w be r(21). Suppose -u = -51 + w. Let l = 74 - u. What is the lowest common multiple of l and 20?
220
Let x(z) = z**2 + 3*z - 41. Let c be x(-8). Let w be -3 + 88/32 + c/(-4). Find the common denominator of (5/(-70) + w/1)*89 and 143/102.
714
Suppose -9*r + 3*r + 1116 = 0. Let i = -373/2 + r. Find the common denominator of i and -95/146.
146
Let k = -9/18307 + 1049988/13199347. Find the common denominator of -12/515 and k.
3605
Let d = 2879222224/16675 + -172667. Let l = d - -1384059/566950. What is the common denominator of 192/(-88) - 3/(-1) and l?
374
Let i(q) = -771*q**2 + 3*q + 14. Let z be i(5). Let p = 5754568/299 + z. Let m = p + -23705/1794. What is the common denominator of 47/30 and m?
30
Let q be (-95263)/(-62)*(-1)/(6/(-4)). Let s = -1001 + q. Let p = s - 163/6. Find the common denominator of p and 85/22.
66
Let j = -30976 + 34360. Calculate the lowest common multiple of 752 and j.
6768
Let r = 4969/156 + -361/13. Let s be (66/(-12) + 6)*416. What is the common denominator of r and 203/24 + s/(-156)?
24
Let b(u) = 2*u**2 + 6*u - 576. What is the lowest common multiple of b(27) and 1276?
11484
Suppose -84*o + 81*o = -6. Let u(y) = y**3 + y + 12. Let q be u(0). Find the common denominator of 13/20 and (q/14)/(o/(16 - 6)).
140
Let x be 121/(-17) + 12/102. Let v(n) = -1 - 2 - 9*n - n**2 - 3. Calculate the smallest common multiple of v(x) and 3.
24
Suppose 20 = 2*g + 2. Suppose 0 = -t - g*t - 480. Let d = -12 - t. Calculate the least common multiple of 6 and d.
36
Let l(p) = 86*p**2 - 418*p + 3. Calculate the least common multiple of l(5) and 63.
63
Let g = -92739153/400 - -231848. Calculate the common denominator of 73/400 and g.
400
Suppose -7*p + 15 = -2*p. What is the least common multiple of (p/2)/(-3) + 27/6 and 14?
28
Calculate the common denominator of (-6)/(-24) + (-367)/372 and (30889/(-138))/79 + -5.
186
Let w be (15/(-30))/(2/(-8)). Suppose 0*l + j = -w*l + 46, 4*l - 94 = -j. Calculate the smallest common multiple of 20 and (42/4)/(18/l).
140
Let g = 60 + 78. Suppose -59 = -x + 5*u, -5*u = -3*x - 3*u + g. Find the common denominator of (2 - -2) + ((-11)/8 - 4) and x.
8
Suppose -5*z = 15, -5*z = 3*h + h + 19. What is the common denominator of (h - (-10)/14) + (-570)/308 and 49/12?
132
Calculate the common denominator of ((-62)/20 + 3)*255/(-2) and 47/20.
20
Let r = 24684 - 23981. Calculate the smallest common multiple of 285 and r.
10545
Let d(v) = 62*v**2 + 23*v - 6. Calculate the least common multiple of d(3) and 115.
3105
Suppose -2*k - 229 = -5*c, -4*k = -2*c + 99 + 335. Let n = 121 + k. Calculate the least common multiple of 62 and n.
434
Let u = 989497/192765 - -2/12851. Find the common denominator of 149/510 and u.
510
Let z(f) = 2*f**2 - 16*f - 157. Calculate the smallest common multiple of 19 and z(-6).
209
Let f = 14868 - 14859. Let o = 41 - 34. What is the smallest common multiple of o and f?
63
Let k = -2/935 + 35624/43945. What is the common denominator of k and -113/470?
470
Let j be 69/207*(35 + 1). Find the common denominator of -7/60 and (1829/(-413))/(j/(-7)).
60
Let v = -259037/627510 - -198/1609. Let n = 447529/4 - 112998. Let z = 1109 + n. What is the common denominator of v and z?
780
Let p(i) = -i**3 + 15*i**2 + 3*i - 8. Let d be p(7). Suppose -d = -2*t + 5*t. Calculate the common denominator of 67/16 and ((-7)/4)/((-60)/t).
16
Let w = 31663 + -20672. Let f = w - 132013/12. Calculate the common denominator of -95/4 and f.
12
Let i(v) = 1 - 4*v + 7*v**2 - v**3 - 2 - 3*v**2 + 0. Let k be i(3). What is the common denominator of k - -3 - -3 - -2 and 1/18?
18
Let v(d) = 91*d + 328. Let b be v(-4). Calculate the lowest common multiple of 5 and 8/b*-138*3.
460
Let r be -1*(-2)/(-2)*15. Suppose 5*a - 9 = -2*v + 5, -21 = -3*v + 4*a. What is the least common multiple of ((-15)/(r/16))/((-1)/(-2)) and v?
224
Let d(f) = -5*f - 2. Let z be d(-1). Suppose -z*h + 365 = -10. Let j = 76 - h. What is the common denominator of -59/8 and j?
8
Suppose -27*g - 24 = -28*g. Suppose 8*w = 56 - g. What is the least common multiple of w and 4?
4
Let b(v) = 4*v**2 + 17*v. Let c be b(-18). Suppose -59*w - c = -70*w. What is the lowest common multiple of w and 60?
180
Let v = -6417139/140 - -45837. Find the common denominator of (2350/252)/(-5) - -1 and v.
1260
Let r = -77 + 97. What is the lowest common multiple of 2/4 - (-14)/4 and 1 - 13/(-4) - 5/r?
4
Suppose 5*p = -3*x + 4, -2*p + 4*p + x - 1 = 0. Let j be ((-72)/7)/(p/7). Suppose 0*m = -12*m + j. Calculate the lowest common multiple of 14 and m.
42
Suppose -72*y + 21520 = -76*y. Let n be (-2)/(-15)*(1 + y/(-656)). Let r = -3/41 - n. What is the common denominator of 47/26 and r?
130
Calculate the common denominator of ((-2)/1 - 1800/(-110))*2/(-112) and -97/154.
308
Let v = -76 + 79. Suppose 9*y - 36 = v*y. Suppose -4*h + 30 = 5*d, -4*d - y*h = -h - 15. Calculate the lowest common multiple of d and 42.
210
Let g(y) = -y**2 - 22*y - 47. Let a be g(-20). Let v(p) = -p**2 - 5*p + 32. Let m(o) = o + 1. What is the smallest common multiple of m(5) and v(a)?
18
Calculate the lowest common multiple of 40 and (39 - 63)*(-4)/24*4.
80
Suppose 0 = 4*t + 4, 0 = -2*h - 0*h + 5*t + 9. Suppose h*q = -68 - 26. Let o = 54 + q. Calculate the smallest common multiple of o and 5.
35
Suppose -u = -41*u + 1680. Calculate the smallest common multiple of (128/9 + (-14)/63)*2 and u.
84
Let x(k) = -6*k - 68. Let r be x(-12). Let n(i) = -4*i + 7*i**2 - 2*i + 14 + i. Calculate the smallest common multiple of n(r) and 20.
1060
Let q(w) = -3495*w + 6. Let i be q(-6)