30 + -36135. Find the common denominator of b and -69/40.
120
What is the common denominator of 79/50 and ((-4828)/120)/17 + (-6)/3?
150
Let x = 4133/1992 + 267/83. Find the common denominator of x and 85/24.
24
Let f = -4 - -16. Suppose u = 2*y - 11, -4 - f = -4*y + 4*u. Let d(g) = -g + 15. Calculate the least common multiple of d(y) and 5.
40
Let g = 1389/259 - 33004533/2590. Let i(m) = 102*m**3 + m**2 - 2. Let x be i(-5). Let u = g - x. What is the common denominator of -109/10 and u?
10
Let x = -6864 + 109921/16. Let g(f) = -f**3 + 7*f**2 - 7*f + 7. Let j be g(8). What is the common denominator of 5 + -5 - j/10 and x?
80
Let l(m) = -m**3 + 8*m**2 + 8*m + 12. Let p be l(9). Let b be 41 + (1 - p) + 0. Suppose -14 = 5*k - b. Calculate the lowest common multiple of k and 7.
35
Suppose s - 16 = -0*s. Let h(y) = -y**3 + 13*y**2 - 14*y + 12. Let q be h(12). Let w(f) = f + 20. What is the lowest common multiple of s and w(q)?
16
Let s = -42 - -88. Let y(x) = -x**3 + 7*x**2 - 7*x + 9. What is the least common multiple of s and y(6)?
138
Let n = -12733121/288 + 44212. Find the common denominator of 21/32 and n.
288
Let c = 7983/10 + -797. Suppose 5*d + 4074 = -z + 484, d + 7135 = -2*z. Let a = -21325/6 - z. Find the common denominator of a and c.
30
Suppose -c = c - 50. Let h(j) = -13*j - 373. Calculate the smallest common multiple of c and h(-29).
100
Suppose -7 - 23 = -5*v. What is the lowest common multiple of (-3)/2*(-8)/v and 42?
42
Let v = -1920 - -7731/4. Calculate the common denominator of ((-1)/(-28))/(-5 + (-830)/(-160)) and v.
84
Let o(n) be the second derivative of 3*n**5/10 - n**4/12 + n**3/2 - n**2 - 4*n. Suppose -4*g + 2 = -2. Calculate the least common multiple of o(g) and 6.
6
Suppose 0*q + 2 = q. Let t be (-2)/(-12)*-2*-12. Calculate the smallest common multiple of q and (-40)/15*(-15)/t.
10
Suppose i - 4*c = -12, 3*c + c = 3*i + 4. Let f be (70/(-3))/(-7)*3. Suppose -f = -l - 0*z - 2*z, 2*z + 14 = 2*l. What is the lowest common multiple of i and l?
8
Suppose 3*u = -2*n + 22, -2*n = 2*n - 8. Suppose u*o = 39 + 33. What is the least common multiple of 6 and o?
12
Suppose -18*t + 4 = -16*t. Suppose 4*u + u = 80. Calculate the smallest common multiple of u and t.
16
Let o = -361023/65060 - 3/3253. Calculate the common denominator of o and 266/32 - 21/(-35)*-5.
80
Calculate the common denominator of (2/100)/((-12)/(-1695)) and 93/20.
40
Suppose -438 = 9*n - 13*n + 2*b, -2*n - 3*b = -231. Calculate the smallest common multiple of 7 and n.
777
Let k(i) be the second derivative of -i**5/20 + i**4/3 - 5*i**3/6 + 4*i**2 + 2*i. What is the smallest common multiple of k(3) and 7?
14
Let j = 13807 + -165581/12. Let i = -1918 - -7711/4. Find the common denominator of j and i.
12
Let i(t) = t**3 + 3*t**2 - 1. Let m be i(-2). Suppose -m*c = -0*c. Find the common denominator of c - 91/4 - 1 and 45/4.
4
Calculate the common denominator of -71/33 and (-16)/28 - (-4820)/840.
66
Let z = -7564737517/490180 - 1943/24509. Let d = z - -15436. What is the common denominator of d and 121/10?
20
Let p = -3 - 1. What is the common denominator of 7/6 and ((-354)/(-8))/3 - p?
12
Let s be ((-21913825)/5037)/((-4)/(-18)). Let b = s - -19578. Find the common denominator of b and 21/20.
1460
Suppose 23 = 2*x - 1. Let u(q) = -11*q**2 - 43*q + 20*q + q**3 - 10 + 12*q. What is the smallest common multiple of 5 and u(x)?
10
Let w = 480 + -1420/3. Find the common denominator of ((-162)/(-88))/((-3)/(-8)) and w.
33
Calculate the common denominator of 49/44 and (39/(-1320))/(3/(-36)).
220
Suppose j - 2*m = 120, 2*j - 2*m - 206 = 38. What is the least common multiple of 4 and j?
124
Let m be 2/(((-30)/280)/((-819)/8)). Let b = m - 7721/4. What is the common denominator of b and 23?
4
What is the smallest common multiple of (-1105)/(-52) + 1 - 2/8 and 448?
4928
Suppose 0 = -f + 2*j + j - 12, 4*f + 2*j - 8 = 0. Suppose -d + f = 2*q - 7, 2*d - 11 = -q. What is the least common multiple of 14 and d?
70
Let p(z) = z**3 + 10*z**2 + 2. Let c be p(-10). What is the lowest common multiple of (8/16)/(1/8) and 1053/52 + c/(-8)?
20
Let t(o) = 6*o**2 + 13*o + 17. Calculate the smallest common multiple of t(-3) and 12.
96
Suppose 13*l = 1345 + 1385. What is the smallest common multiple of 40 and l?
840
Let n be (9 + -1)*(-1)/(-2). Suppose -5*y + n*v = -82, 0*y + 8 = y + 2*v. Let i = 11 - -11. What is the lowest common multiple of y and i?
154
Suppose 5*l - 27 = -12. Let z(q) = 2*q**3 - l*q**2 + q - 3*q + 2 - 3*q**3 - 1. What is the least common multiple of 11 and z(-3)?
77
Let n = -2451015 - -41698243/17. Let o = n + -1822. Calculate the common denominator of 25/9 and o.
153
Suppose -4*z - 2*b + 32 = 2*b, z - 14 = 5*b. Let i = 60 + -31. What is the lowest common multiple of i and z?
261
Calculate the common denominator of -121/54 and 4/(-12) + (-266)/(-84).
54
Let k be (-1)/8 + (-46)/16. Calculate the lowest common multiple of ((-5)/10)/(k/30) and 3.
15
Calculate the common denominator of -79/12 and 6 + (-3054)/252 + 7.
84
Find the common denominator of 8/(-6)*25/8 and ((-174)/18 - 5 - 1)/(-66).
198
Suppose -3*i + 2*g + 51 = 0, -2*i - 2*g = -0*g - 24. Let v = i - -17. Calculate the smallest common multiple of 18 and v.
288
Let m = 8 + -6. Suppose -2*a - 7 = -n + 2*a, 0 = -5*n + a + 16. Let c(x) = 4*x - 7. Calculate the lowest common multiple of m and c(n).
10
Let g = 393 + -365. What is the smallest common multiple of 24 and g?
168
Let k = 75 + -63. What is the least common multiple of 8 and k?
24
Suppose 5*g + 4*x - 49 = 3, 0 = g - 3*x - 18. Calculate the common denominator of -9/8 and (-131)/g*-2*-1.
24
Suppose -198 = -21*y + 12. Calculate the smallest common multiple of y and 460.
460
Let p = -16169/2100 - 1/2100. What is the common denominator of p and -43/7?
70
Let y be (10/(-260))/((-2)/(-66964)). Let n = 1290 + y. Calculate the common denominator of n and (-8)/18*(-6)/(-16).
78
Calculate the common denominator of (-6 - 4)/90 + (-2275)/(-90) and 1 - 0 - (-9)/(-47).
282
Suppose 25 = -5*f, 0 = -2*x - 0*x - 2*f - 6. What is the least common multiple of x and 11/4*5*(-29)/(2175/(-120))?
22
What is the common denominator of 60/180 + ((-95)/(-186))/(-5) and 62/3?
186
Let o = 1/112895760 + 1737290757971/112895760. Let c = -34940 - -19555. Let p = o + c. Find the common denominator of -59/14 and p.
140
Let b = -338716 - -1360622158/4017. Let z = -62003/10712 + b. Calculate the common denominator of 2 + (0 - 2/16) and z.
24
Suppose 20*t + 94 = 194. What is the least common multiple of t and 346?
1730
Suppose -57*l = -54*l - 3*w - 108, -5*l - 5*w = -150. What is the lowest common multiple of l and 42?
462
Suppose m + 4724 = -19761. Let d = -636503/26 - m. Find the common denominator of d and 109/10.
130
Let w(d) = d**3 - 3*d**2 - 27*d - 1. What is the least common multiple of w(7) and 12?
12
Let r = -102752/553 + 3902/21. Let c = r + 77965/6636. Calculate the common denominator of c and 19/4.
4
Let c = -4437395/12648 + -59/1581. Suppose -s - 2*s - 2*b = 1023, -1705 = 5*s - 3*b. Let k = c - s. Calculate the common denominator of k and -50.
8
Let b = -201665/12 + 16796. What is the common denominator of 1/(-3) + (-1276)/240 and b?
60
Let o be 7395/(-1300) + (2 - -3). Let r = o - 4/65. Find the common denominator of -1 + (-56)/22 - -2 and r.
44
Let w(c) = -c**2 + 3*c + 6. Let x be w(5). Calculate the common denominator of x + 1 + 73/(-4) and 101/4.
4
Let s = -1653/10 + 13449/80. What is the common denominator of -65/124 and s?
496
Suppose 4*i - 3*i - 24 = 0. Suppose 0 = -4*r - 3*z + 30 + 44, 0 = r - 2*z - i. What is the smallest common multiple of 100 and r?
100
Let o = 11347/2388 + -1/597. Calculate the common denominator of -21/16 and o.
16
Let h = 39 + -35. Suppose 5*y - 3*w - 32 = 0, -4*w - 28 = y - h*y. What is the lowest common multiple of y and 4?
4
Suppose 5*a - 6404 = -2*t, -2*a = 4*t - 6*a - 12808. Let s = t - 1759. Let g = s + -13009/9. Find the common denominator of g and 15/2.
18
Calculate the smallest common multiple of 51/(-2)*(-17)/(510/200) and 85.
170
Suppose -2*h - 3*o + 17 = -16, -3*h + 48 = 4*o. Calculate the lowest common multiple of 75 and h.
300
Let d be 0 - 6*-1237 - -1. What is the common denominator of 59/30 and d/(-780) - (-3)/5?
60
Let m = -8311/4 + 2053. What