 = -1. Suppose 5*p - 2*y = -13 + 55, v*p = -5*y + 50. What is the least common multiple of p and (42/(-10))/((-15)/50)?
70
Calculate the common denominator of -52/909 and (-4)/26 + 7510/650 + -12.
4545
Suppose -3*s + 12*n + 50 = 8*n, 60 = 5*s - 2*n. What is the lowest common multiple of 764 and s?
3820
Let q = -56 - -98. Let r = -3749 + 3755. Calculate the least common multiple of q and r.
42
Let w(b) = -13*b - 2. Let m be w(1). Let c(k) = k**2 + 16*k + 33. Let a = 7 + 1. Calculate the smallest common multiple of a and c(m).
72
Suppose -5*v + 4*d - 2*d = -108, -4*v + 88 = -2*d. What is the smallest common multiple of v and 4/14 + 44*115/322?
80
Let b = -5 + 5. Suppose b = -3*v + 5*j - 25, j = -j - 8. What is the smallest common multiple of 2 and 3*(v/(-9) + 2)?
22
Let q = 13 + -8. Find the common denominator of 73/14 and 150/40*(-3)/q.
28
Let t be (-7)/63 + (-717572)/(-562842)*3. Let w = t + 1/1489. Calculate the common denominator of (-1)/(-1) + 88/(-18) and w.
63
Let a = -20490 - -1208881/59. Calculate the common denominator of a and -74/9.
531
Find the common denominator of (-1)/(292/11) + (-43)/(-172) and 31/8.
584
Suppose 0 = -152*j + 165*j - 1716. Calculate the least common multiple of j and 20.
660
Let p = -16 - -14. Let t = 16 - p. Calculate the smallest common multiple of t and 16.
144
What is the common denominator of 19/35 and (-2 - 0)*(-8 - 2611/(-280))?
140
Let o = 118 + -114. Suppose -96 = -o*u + 2*d, 118 = 5*u - 18*d + 16*d. What is the lowest common multiple of (-1)/2 + (-33)/(-2) and u?
176
Let v(o) = o**3 + 6*o**2 + 6*o + 4. Let a be v(-5). Calculate the common denominator of (a - 33)/((-48)/(-7)) and -37/12.
24
Let n be 1*(2 - -2 - 5). Let y(w) = 2*w. Let k be y(n). Calculate the common denominator of (k/4)/((-6)/83) and -7/34.
204
Let x = 18 + -16. Suppose -9 = k + x*k. What is the common denominator of 3/14 and 4/16*(k + -143)?
14
Suppose -14*v = -18*v + 28. Suppose -5*q + 5 = 5*c, -2*c + v = 5*q - 13. What is the smallest common multiple of 26 and q?
78
Suppose 3*q - l = 1 - 2, -5*q - 5*l = 35. Let o be 170/(-30) + (-2)/(-3). What is the smallest common multiple of (q + o/(-2))*4 and 3?
6
Let v = -1 + 19. What is the common denominator of 47/6 and (-8)/v + 130/78?
18
Let z(r) = 18*r + 6*r - 15*r. Suppose 2*x + 80 = 7*x. Calculate the smallest common multiple of z(1) and x.
144
Let o be 1/(((-7)/74)/(-7)). Let i = o + -27. Suppose -6*l = -7*l + i. Calculate the common denominator of l and -20/7.
7
Let l be ((22/3)/1)/(16/120). Let p = l - 53. Calculate the least common multiple of p and 4.
4
Let s(t) = -33*t**3 + t**2 - 2. Let a be s(3). Let w(k) = k**2 + 8*k - 13. Let g be w(-9). Find the common denominator of -43/14 and (-819)/a - (-1)/g.
238
Let l(t) be the third derivative of -t**6/120 + t**5/10 - t**4/6 - t**3/3 + 14*t**2. What is the least common multiple of 7 and l(5)?
21
Let j(z) = -z**2 - 15*z + 2. Let f be j(-13). Let i(q) = -q**2 - 6*q + 4. What is the smallest common multiple of ((-32)/f)/(4/(-14)) and i(-4)?
12
Let p be (-3)/(-2)*(-6)/9. Let u be (-41 - 5)/(-1 + p). Suppose -5*h + 22 + 33 = 2*d, 0 = 2*h + d - u. Calculate the least common multiple of 3 and h.
9
Let i = -52 + 56. Suppose f = i - 2. Calculate the smallest common multiple of f and 10.
10
What is the common denominator of -35/12 and (-1)/(-2) + -1 + (-950)/(-220)?
132
Let b = 26 + -23. Suppose -b - 7 = -j. Calculate the lowest common multiple of j and 11.
110
Let o(q) = -6*q + 2. Let k be o(1). Let z be -1 + k + 1996342/(-98584). Let x = 2/12323 + z. Calculate the common denominator of 50/3 and x.
12
Suppose 2*t - 108 = -2*b, 0*t + 5*t = 0. Calculate the least common multiple of b and 24.
216
Suppose 0 = 3*k - k - 18. Let q be 4/8 + (-6)/(-4). Suppose 2 + 4 = q*v. Calculate the smallest common multiple of v and k.
9
Let a = 31097/6 + -5201. Let x(n) = n + 1. Let z be x(-3). Calculate the common denominator of (-165)/(-35) - (z - -2) and a.
42
Suppose 0 = -y + 2*y - 3. Let h be (-2293*27)/(y + 7). Let l = h - -6201. Calculate the common denominator of -58/9 and l.
90
Let q = -222 - -223. Calculate the lowest common multiple of 11 and q.
11
Let x(u) = u + 13. Let q be x(7). Suppose 9*n = 4*n - q. Calculate the least common multiple of 5 and n/(-2)*10 - 1.
95
What is the common denominator of -82*(0 + 10)/(-200) and 145/6?
30
Let s = -64 + 73. Calculate the least common multiple of 15 and s.
45
Suppose -q + 3*q - 65 = -x, 49 = q - 5*x. Suppose -2*w + 3*p = -51, q - 96 = -4*w - 2*p. Calculate the smallest common multiple of w and 208.
1872
Let t = -57 + 71. Let u = t + 2. What is the lowest common multiple of 2 and u?
16
Suppose 10 = 4*b - 6. Let f be ((-30)/21)/(30/(-14) + 2). Calculate the lowest common multiple of 44/f + 4/(-10) and b.
4
Let d = -92111/30 + 3075. What is the common denominator of d and -49/8?
120
Let d = -466 - -476. What is the lowest common multiple of d and 10?
10
Let r = 165 - 83. Suppose 0 = 4*b - 3*p + 196, -6*b = -3*b - 4*p + 154. Let i = b + r. Calculate the smallest common multiple of 20 and i.
180
Suppose -3*g - 8*g + 484 = 0. Let f = g - 34. What is the lowest common multiple of 5 and f?
10
Let l = -2079/2 + 160035/154. What is the common denominator of l and 5/77?
77
Let j = 7/53 - 1459/212. What is the common denominator of (4059/216)/41 + -5 and j?
24
Let m(b) = -62*b + 0*b**3 + 14*b**2 + 79*b - 16 - b**3. What is the least common multiple of m(15) and 8?
56
Let k(m) = -m**2 - 41*m - 178. Calculate the least common multiple of k(-5) and -3 + 1 - (-2 + -5).
10
Let t = 8 + -7. Let p = -1/293 - -305/3516. Find the common denominator of p and (-508)/144*-2 - t.
36
Suppose -h + 326857 = -0*h. Let g be h/7210 - 5/(-35). Let v = g - -12/515. Find the common denominator of v and -67/22.
22
Find the common denominator of -65/6 and 361/(-102) + -18 + 20.
102
Suppose -1 - 3 = -4*n - a, -4*n + 3*a + 20 = 0. Find the common denominator of 152/(-72) - -2 - (-213)/(-27) and n/6*(37 - -4).
3
Let c = 12/527 + 29115/40579. Let d = c + 4261/693. Let b = 4841/10 + -483. Calculate the common denominator of d and b.
90
Find the common denominator of 6/(-20)*351/(-45) and -43/40.
200
Find the common denominator of (8/147)/(3/(-14)) and -67/81.
567
What is the common denominator of -79*((-6)/16)/(-3) and (-36)/(-3) + (-987)/69?
184
What is the common denominator of 55/18 and 0 + (1/10)/(28/(-3570))?
36
Let r(u) = 10*u**2 - 12*u + 30. Calculate the lowest common multiple of r(3) and 8.
168
Let i = -1866157/156 - -155848/13. Let u = 232/13 - i. Let d = -33/2 - -16. Find the common denominator of d and u.
12
Let z = 1608077/150 - 53607/5. Find the common denominator of z and -181/390.
1950
Let o be (-1570)/(-6) - (-8)/96*4. Let t be 7818/10*(-2)/6. Let n = t + o. Find the common denominator of -67/9 and n.
45
Let z = -30703/22 - -2799/2. Let u = -13177/2730 + -3/455. Find the common denominator of u and z.
66
Suppose 2*z - 24 = -4*o - 0*z, -5*o = 4*z - 24. Let y be 2*2/o*-20. What is the common denominator of -3/16 and ((-6)/16)/(y/(-8))?
80
Let v(b) = 1 + 2*b**2 - 2 - 11*b - 8. Let h be v(7). Suppose 3*k + 6 = -5*d, -4*k + h = -3*k - 3*d. Calculate the lowest common multiple of k and 9.
9
Let s = 241094845/954 + -252720. Calculate the common denominator of -29/16 and s.
7632
Let o(m) = -6*m - 4. Let i be o(-3). Let g be (1/(-4))/(i/51121). Let f = g - -909. Find the common denominator of -48/5 and f.
40
Let w = -1483/110 + 156/11. Find the common denominator of -77/100 and w.
100
Let n be 2*(-3)/(-6)*5. Suppose q + 4*q - 138 = 4*a, 0 = 5*q - n*a - 135. Suppose -2*y + 6 = -q. Calculate the least common multiple of 10 and y.
90
Let k(a) be the first derivative of -a**2/2 + 4*a - 35. Suppose 100 = 5*j - 0. What is the lowest common multiple of j and k(-12)?
80
Suppose -2*o = -4*b + 58, -4*o - 45 = -3*b - o. Suppose 5*c - 6 - 19 = 0. Suppose 0 = -2*j + c + 3. What is the least common multiple of b and j?
28
Let a = -353/12 - -151/6. Calculate the common denominator of a and 61/4.
4
Suppose 159 = -m - r, 0 = 8*m - 3*m - 3*r + 763. Calculate the common denominator of (3 - -2) + m/6 and 43/46.
138
Let k(i) = -i - 10. Let y be k(8). Let h = y + 30. Let u = h + -6. What is the lowest common multiple of u and 22?
66
Suppose -29 = -2*g + 7. Suppose 