 = -2*k + 69. Calculate the least common multiple of y(0) and k.
160
Let t be ((-378566)/9)/((-8)/3). Let z = 15785 - t. Let d = 741189/8 - 92644. What is the common denominator of z and d?
24
Let p(n) = -n**2 + 15*n - 47. Let o be p(10). Suppose 0 = -5*g + 4*r + 224, -o*r + r = 3*g - 130. Calculate the smallest common multiple of g and 10.
220
Suppose 3*d - 130 = -5*a, -a + 231 = 3*d + 85. Calculate the common denominator of (-70)/16 - d/30 and 155/264.
264
Let p = -7885 - -7965. What is the smallest common multiple of p and 6500?
26000
Let b(j) = j**2 - 80*j - 145. Calculate the least common multiple of 66 and b(83).
3432
Let f(i) = 2*i + 592. What is the least common multiple of 372 and f(-17)?
1116
Let d = -20 + 28. Suppose 2*j - 2*h - 8 = -0*j, j = -5*h - d. What is the common denominator of j/(-108)*142 + 2 and -58/27?
27
Suppose -o + 80 = 2*r, -160 = -2*o + 4*r - 2*r. Let k be o/14 + 1 - (-20)/70. Suppose -6*x + k*x = 15. What is the smallest common multiple of 27 and x?
135
Let n(v) = -3*v**2 + 19*v - 4. Let d be n(4). Calculate the common denominator of (-279)/d + (-10)/(-2) and ((-142)/(-20))/(84/(-30)).
56
Find the common denominator of (46/(-72))/((-1143)/(-36) + -12) and 10/9.
711
Suppose -4*h - 34 = -6*h. Suppose 0 = c + h*c - 18. Let n = 92 - 91. What is the smallest common multiple of c and n?
1
What is the common denominator of 91/20 and (-72)/(-8) + 17496/(-992) + 8?
620
Let o = -52 - 13. Let g = 55 + o. Calculate the least common multiple of ((-25)/g)/(51/24 + -2) and 2.
20
Let n(l) = 2*l**2 - 2*l - 17. Calculate the least common multiple of n(-3) and 101.
707
Let w = -747 - -765. Let d(q) be the first derivative of q**3/3 - 2*q**2 - 10*q - 2. What is the least common multiple of w and d(8)?
198
Let d be 1300989/(-3213)*27/981. Let r = d - -1320/119. What is the common denominator of r and 16/5?
1635
Let q = -131 - -101. Let o = -44350/399 - -2054/19. What is the common denominator of q/(-135) + (1 - (-277)/(-45)) and o?
105
Let v = -52/369 - 341/3690. Let p = 758143/40 - 18951. Find the common denominator of p and v.
120
Let o = 48591891/266 - 182676. What is the common denominator of o and -31/112?
2128
Let o(v) = -v**2 + 10*v + 12. Let d be o(10). Let t(m) = -3*m - 10*m + 16 + d*m**2 - m**3 + 2*m**2. What is the smallest common multiple of 8 and t(13)?
16
Suppose 16 = 4*c - 8*o + 5*o, 5*c - 21 = 4*o. Calculate the lowest common multiple of 50 and 1 + (c + 0)/(7/21).
100
Find the common denominator of -47/72 and ((-51900)/3750)/((-48)/(-10)).
360
Let o = 2832 - 1697. Let d be (-56377)/50 - 155/31. Let g = o + d. Calculate the common denominator of -44/35 and g.
350
Suppose 648 = -3*g + 5*u - 4*u, 1080 = -5*g - 2*u. Find the common denominator of (-9)/3 + 249/81 and (-478)/g - (-17)/(-68).
27
Calculate the smallest common multiple of (-7)/((6/(-4))/3) and 562/47 - 30*60/(-42300).
84
Suppose -4585*p + 4552*p + 330 = 0. Calculate the least common multiple of ((-4)/(-10))/((-1)/(-20)) and p.
40
Suppose -19 - 29 = -8*g. Suppose 5*b + 2*r - g*r + 252 = 0, -4*b - 198 = -5*r. Let a = 61 + b. What is the lowest common multiple of a and 1?
9
Let a = -25473 - -509347/20. Let i(v) = v**3 - 6*v**2 - 8*v + 3. Let x be i(7). Find the common denominator of (-1)/(x/(-8) - 22/(-20)) and a.
40
Suppose -8*n = -5*n - 6, -n + 5817 = -5*d. Let u = -37211/32 - d. Let j = -690437/219180 - -1/10959. Find the common denominator of u and j.
160
Let k = 3 - -87. Suppose -9805 = -247*z + 5015. What is the lowest common multiple of z and k?
180
Suppose 5*u + 3*u - 56 = 0. Let l be (6 - u)/(1/7065). Let z = l - -56597/8. Find the common denominator of 27/10 and z.
40
Suppose -5*p + 5553 = -75292. Calculate the common denominator of p/(-1995) + 6/(-63) and -157/30.
30
Suppose 0 = -u - 3*m - 317, -7*m + 670 = -2*u - 4*m. What is the smallest common multiple of (-3)/(-6) + u/(-14) and 28?
168
What is the common denominator of (((-540)/(-32))/5)/((-2414)/(-408)) and -79/8?
568
Let f(g) = 29*g**2 + 3303*g - 330. What is the lowest common multiple of f(-114) and 190?
1140
Let c = -32/159 - -7693/23214. What is the common denominator of c and 10?
146
Suppose 27 = a - 84. Suppose 59*p - 120 = 51*p. What is the lowest common multiple of p and a?
555
Let i = 12468950365/4284 + -2910586. Find the common denominator of i and -64/9.
4284
Let n(d) be the second derivative of d**3/6 - 2*d**2 + d. Let x be n(0). Calculate the common denominator of 2/x + -5 + 60/35 and -65/44.
308
Suppose 4*u + 4 = 4*n, 0 = -n + 3*n - 2. Suppose v - 6*v + 35 = u. What is the common denominator of 142/(-18)*(8 - v) and 77/2?
18
Let t(o) = o**2 + 19*o - 56. Let s be t(-22). Suppose p = 5, -s*j + p - 20 = -11*j. What is the lowest common multiple of 33 and j?
165
Let p be (11/3)/((-8)/96). Let f(d) = -9*d**2 + 6*d + 7. Let o be f(2). Let u = o - p. What is the lowest common multiple of 18 and u?
54
Suppose -4*i + 10 = -14. Let n(q) = 2*q**2 + 13*q + 29. Let b = 56 + -61. What is the lowest common multiple of n(b) and i?
42
Let k(i) = i**3 + 9*i**2 + 9*i + 4. Let g be k(-8). Let y = -5/52 - -436/39. Calculate the common denominator of y and 1015/(-84)*(-2)/g.
24
What is the least common multiple of 2 - ((-6)/9)/(2312/576 - 4) and 740?
3700
Let i = -7241/336 + 365/16. Let w be (12/2)/(4/4866). Find the common denominator of i and 1/(-7) - w/(-1260).
420
Let u(f) = -f**2 + 15*f - 40. Suppose 0 = -709*i + 705*i + 28. Calculate the lowest common multiple of 74 and u(i).
592
Calculate the common denominator of (-195)/80*-4 - 3 and -21/314.
628
Let b(k) = k**3 + 5*k**2 - 7*k - 3. Suppose 3*t + 6*a - 2*a = 128, -t + 28 = 5*a. Suppose t = -7*s + 6. Calculate the least common multiple of b(s) and 10.
30
Let c = 12314 - 5379. What is the least common multiple of c and 4?
27740
Let r = -116088331/639 - -181672. Calculate the common denominator of -73/1136 and r.
10224
Suppose -3*h + 10*h = 294. Suppose -h = -18*o + 462. Calculate the least common multiple of o and 18.
252
Let g = -54 - -54. Suppose 7*p - 6*p - 64 = g. Calculate the common denominator of 97/18 and (2/(-4))/(-6*22/p).
198
Let m = -253/6 + 2707/60. Find the common denominator of 519/30 - (325 - 320) and m.
20
Let w = -3433/6 - -553. Find the common denominator of w and 17/966.
966
Calculate the common denominator of -35/636 and (178/(-4806))/((-1)/24).
1908
Suppose 3*o + 2*x - 15 = 0, -9*x + 8*x = -4*o + 31. Calculate the least common multiple of o and 11389.
11389
Let n be (-3)/2 - (-25)/(-2). Let i = n + 12. What is the common denominator of 2567/(-374) + (-4)/i and -119/12?
132
Let q = 128345 + -142976307/1114. Calculate the common denominator of -11/10 and q.
5570
Calculate the common denominator of 442/714 - 4/14 - (-555)/(-648) and 50/1269.
10152
What is the lowest common multiple of 27/81 - (44/24)/(-11)*28 and 83?
415
Let y = 632023/60 + -10533. Calculate the common denominator of y and 77/160.
480
Suppose -2*x - 2 = -0*y + 2*y, -2*x + y = -1. Find the common denominator of -3 + 1068/504 - (0 + x) and -11/6.
42
Find the common denominator of 47/6 and -2 + (-82052)/(-47523) + (26/12 - 2).
1302
Let z be (15 - 0)*(-1)/(-3). Suppose s - z*k + 23 = 0, 11 = 2*s + s + k. What is the least common multiple of -3*s/(-12)*4 and 19?
38
Calculate the common denominator of 13877/119833 + 48/(-5304)*13 and -31/1113.
21147
Let b = -646769/59820 - -57/1994. Let d = b - -167/12. Calculate the common denominator of (8/96)/(13/(-364)) and d.
15
Find the common denominator of (-42)/24*(-180)/6642 and 113/820.
7380
Let i = 615384629/2828 - 870417/4. Calculate the common denominator of 119/1010 and i.
7070
Suppose -21*p + 1830 = 40*p. Calculate the smallest common multiple of 75 and p.
150
Suppose 4*i + 5 + 3 = 0. Let a be (-136)/(-32) + i/8. Suppose -6*m + a = -5*m. Calculate the lowest common multiple of 10 and m.
20
Let y = 370/221 + -42023/14144. Let q = 11647/1040 - 635/52. Find the common denominator of y and q.
320
Suppose 0 = -78*r + 54*r + 1209 + 207. Suppose 0 = -2*n + 4. Suppose -r - 5 = -n*c. Calculate the least common multiple of 9 and c.
288
Let w(m) = m**2 - 37*m - 113. What is the smallest common multiple of w(40) and 301?
301
Let q(i) = -i**2 - 35*i - 120. Let u be q(-31). Calculate the smallest common multiple of 42 and (-23)/(483