7?
270
Let d(p) = -2*p**2 - 7*p + 6. Let l be d(-4). Suppose -3*r + 58 = -l*r. What is the least common multiple of r and 6?
174
Suppose -5*h = -9*h. Find the common denominator of 37/10 and h/(1/(-2) + (-40)/(-16)).
10
Let t = -13 - -52. What is the common denominator of (-16 + t)*2/42 and 179/30?
210
Let x be (0 + (-6)/(-5))*20. What is the common denominator of 59/30 and (-4)/(x/(-95)) + 2?
30
Let d(k) = -65*k - 360. Calculate the smallest common multiple of d(-8) and 240.
480
Calculate the common denominator of 103/122 and 5 - ((-513)/36 - 5).
244
Suppose -m = -0*i - 2*i + 7, 2 = -m + i. Suppose -v - 56 = -m*v. Suppose a - 4*h = -0*a + v, -2*a = 2*h - 6. Calculate the least common multiple of 10 and a.
40
Let c = -140 + 80. Calculate the common denominator of -83/14 and (-15)/(-25) - 529/c.
84
What is the common denominator of -63/244 and ((-359)/20 - -1)*(-48)/(-72)?
1220
Find the common denominator of 4/105 and ((-17)/180)/(-10 + (-284)/(-28)).
1260
Let a(b) = b**3 - b**2 - b + 2. Suppose -4*s + 14 = 3*s. Calculate the least common multiple of a(s) and 1.
4
Suppose -4*q - 128 = -20*q. What is the least common multiple of 8 and q?
8
Let z be 310/8 + 3/(-4). Suppose 5*l - z = 12. Find the common denominator of -127/6 and 2/8 + (-52)/l.
60
What is the common denominator of 18/(-8)*2/(-29) and 26 + (-4278)/161 + 2*(-255)/308?
638
Let j be (4/10)/(10/25) + -22. Let y = -673/3 - -236. Calculate the common denominator of y and (-3)/j*-11 + 4.
21
Suppose 5*z - 20 = -0*z. Suppose 28 = 3*y + z. What is the lowest common multiple of y and 70?
280
Let s = -2001/490 + 9/49. Calculate the common denominator of s and 14/65.
130
Calculate the common denominator of 26/15 and 1023/7434 + (-87)/203.
1770
Suppose -2*v - 3*u - 330 = 0, 2*v + 0*v - 3*u + 318 = 0. Find the common denominator of 3/9*25/6 and 0 + -2 - v/(-24).
36
Let l = 395 + -371. What is the least common multiple of 12 and l?
24
Let z be (-3)/(-2)*(-3 + -1). Let s(l) = -5*l**2 + 2*l - 14. Let k be s(z). What is the common denominator of -97/8 and (3 - 5)/(80/k)?
40
Let g = -2/3 + 11/12. What is the common denominator of g and (6/20)/((-96)/(-2020))?
16
Let t be 7704/(-22) - 4/(-22). What is the common denominator of (-2)/(-7) - 3785/t and 1139/(-306) - -1*(-1)/3?
90
Let g(m) = -42*m - 279. What is the lowest common multiple of g(-7) and 65?
195
Let g = -101 + 104. Let v = 78 + -56. What is the least common multiple of v and (-1 + g - (-2 + 0))/1?
44
What is the common denominator of 6/(-112)*(-9452)/3570 and 77/8?
1960
Let y = 1/761 + -54035/3044. What is the common denominator of (-158)/4*(-32)/(-192) and y?
12
Let g(p) = -p + 3. Let z be g(6). What is the common denominator of -3 + (11 - 7) + (-380)/10 and (z/27)/((-26)/(-372))?
39
Let h(q) = -q**3 + 60*q**2 - 113*q + 32. What is the least common multiple of 10 and h(58)?
1030
Let p(c) = c**2 - c + 153. Let u be p(0). Let k = -1219/8 + u. What is the common denominator of k and (-1)/(-1)*(-182)/(-42)?
24
Let c be (302590/(-60))/(7/3). Let m = c + 2154. What is the common denominator of m and 117/10?
70
What is the common denominator of ((-57)/(-10))/(12834/(-465)) and 1/12?
276
Let h = -1/507 + -1067/1690. Let g = -1299 + 3853/3. What is the common denominator of g and h?
30
Let a = -2305/3 + 782. What is the common denominator of a and 55/48?
48
Let u(t) = 106*t**2 + 2. Let w be u(2). Calculate the common denominator of (2 + 2)*w/48 and -91/6.
6
Suppose 0 = -3*l + 2*w + 86, 0 = -4*l + 5*l + 2*w - 34. What is the smallest common multiple of l and (3/15 + 46/(-5))*-1?
90
Let i = 46626/53567 + -2/2329. Find the common denominator of 31/3 and i.
69
Suppose 64 = -74*u + 106*u. Let w(i) = 2*i**3 - 4*i**2 + 2*i - 4. What is the lowest common multiple of w(4) and u?
68
Suppose -37*v + 8664 = 109*v + 6*v. What is the least common multiple of (-4)/(-14) - 290/(-14) and v?
399
Find the common denominator of (73 + 8 + 0)*2/(-4) and (-141)/(-4)*4/(-30).
10
Let s(c) = -7*c + 1. Let d be s(-1). Let h be (d/(-5))/(42/105). Find the common denominator of 5/8 and -2 + 5 - (-31)/h.
8
Let d = -1191 + 8382/7. Find the common denominator of ((-42)/(-18))/(-7) + 68/15 and d.
35
Let v(p) = p**2 + 42*p + 301. What is the least common multiple of v(-41) and 156?
780
Let f = 41 + 4. Suppose 0 = 3*p + 897 + f. Let c = 3121/10 + p. What is the common denominator of -63/8 and c?
40
Suppose 3*x + 4*b = -2*x + 425, -x - 4*b + 69 = 0. Suppose h + 2*t - x = 0, -h + 87 = 2*t + 2*t. What is the lowest common multiple of 50 and 4/(-26) + 1106/h?
300
Let u be 22/(-7) - (-6)/42. Let s be 2876/16 - u/12. Calculate the common denominator of 42/105 + (-1402)/s and -107/14.
126
Let u = -438503/24028 + -2/6007. What is the common denominator of u and -40/9?
36
Let i = 1336816/708925 - -2/101275. Calculate the common denominator of -8/49 and i.
245
Let x = -3 + 8. Suppose -2*g - x = -21. Suppose 3*p + 30 = g*p. Calculate the least common multiple of p and 16.
48
Let g = 47963 + -145301/3. Let q = g + 462. Calculate the common denominator of ((-43)/(-946))/(2/(-20)) and q.
33
Let m(f) = -f + 8. Suppose -2*d + 3*u + 27 = 0, 3*d - 28 = 3*u + 5. Let z be m(d). What is the smallest common multiple of 3 and 2 + 4/z + -2?
6
Let x(p) = p**3 - 3*p**2 + 2*p. What is the lowest common multiple of x(3) and (-5)/(-2) + 5 + 54/(-12)?
6
Calculate the common denominator of (3 + (-34)/12)*-29 and (-1659)/28*-1*1/15.
60
Suppose -2*r - 3*b + 11 + 4 = 0, -b = 4*r - 5. Calculate the common denominator of 87/22 and ((-58)/(-4))/((-20)/6 - r).
220
Calculate the common denominator of 1068/(-128) + (-96)/(-12) and 7/36.
288
Let y(f) = -4*f**3 + 2*f**2 + 7*f - 25. Let z be y(-21). Let t = z - 3548909/94. What is the common denominator of 79/14 and t?
658
Let r(x) be the first derivative of -x**2/2 - 2*x - 4. Calculate the lowest common multiple of r(-8) and 14.
42
What is the smallest common multiple of 18 and 4018/10 - 35/(-175)?
1206
Let b be (-8 + 2)/(6/(-261)). Let l = b + -143. Find the common denominator of -3/8 and -2*l/144*-2.
72
What is the common denominator of (0 + 22)/(15/(-14 - -19)) and 28/5?
15
Let x(d) = -2*d - 2. Let q be x(-4). Suppose -5*o + 4*o = -q. Suppose 3*c + 39 = 3*r, -2*r + 39 = r + 5*c. What is the smallest common multiple of o and r?
78
Let w = 39 + -36. Suppose -2*n + w*c + 3 = 0, -n - 3 = n - 5*c. Calculate the least common multiple of n and 3.
6
Let p be (-4)/6786*127641/(-4). Let i = p - -9/377. Find the common denominator of i and 49.
6
Let s = 47848/27 + -1772. Calculate the common denominator of (-1*1)/((-22)/(-32)) and s.
297
Let v = -1274 - -1286. Let g(b) = b + 5. Calculate the smallest common multiple of v and g(7).
12
Suppose -3*v + 58 = 2*f, 3*v + 3*f - 1 = 56. Calculate the common denominator of ((-2)/128)/(v/(-1000)) and 77/12.
96
Let t = -3109 - -3113. Let q(w) = w**3 + 5*w**2 + 2*w + 2. Let b = -1 + -1. What is the least common multiple of t and q(b)?
20
What is the least common multiple of 258 and 8 + 20/(-15)*(-15)/10?
1290
Let o(i) = 4*i + 10. Let t(f) = -9*f - 19. Let g(r) = 7*o(r) + 3*t(r). Suppose 22 - 49 = 3*m. What is the smallest common multiple of g(m) and 4?
4
Find the common denominator of 53/9 and (-2 + (-2461)/(-1234))*12.
5553
Suppose 0 = -237*o + 248*o - 2673. What is the least common multiple of 6 and o?
486
Let v = -60 - -64. Find the common denominator of -40/53 and v/(-18) + 53/9.
159
Let n(v) = -v**2 + 7*v + 4. Let t = 6 + -6. Suppose -13 = x + 4*j, t = -3*x + 3*j + 5 + 31. Calculate the smallest common multiple of n(x) and 1.
4
Suppose 55*k - 51*k - 40 = 0. Calculate the least common multiple of k and 48.
240
Let g(h) = -4*h - 50. What is the lowest common multiple of 5 and g(-24)?
230
Calculate the least common multiple of 12 and 12*(-8 + 5)/(-6).
12
Let u = -2/22077 - 537199/88308. Calculate the common denominator of u and -3 - (1 + (-124)/(-80)).
60
Let z(i) = 10*i**2 - 2*i + 1. Suppose 0 = -3*g + 5*g - 2. Let s be z(g). Suppose -31 = -4*y + s. What is the smallest common multiple of y and 10?
10
Let i = -1615 + 1621. Calculate the smallest common multiple of 48 and i.
48
Suppose -23*u = -18*u - 10. Suppose 0 = -u*k - x + 9, -k + 5 + 2 = x. What is the least common multiple of k and 1?
2
Let d = -15485 - -185945/12. Find the common de