 u and s?
10
Suppose 30 = 120*y - 115*y. What is the smallest common multiple of y and 111?
222
Suppose 0 = -4*c + 3*p - 1, 1 - 10 = 3*c - 5*p. Suppose -5*a = 5*h - 120, 3*h - 52 = -a - a. Calculate the lowest common multiple of c and a.
20
Let s be ((-10)/14)/((-8)/28)*-406. Find the common denominator of -21/16 and s/(-392) - (-3)/(-8).
112
Suppose 7*w + 204 = 4*i + 10*w, 0 = -w. Calculate the smallest common multiple of 21 and i.
357
Let l be (-10)/(-5) + 5*1. Let a(g) = g**3 + 10*g**2 + 18*g + 12. Let r be a(-8). Calculate the least common multiple of 1 and ((-14)/r)/(l/14).
7
Let z(i) = i**2 + 11*i + 12. Let p be z(-9). Calculate the smallest common multiple of p/4*(-40)/6 and (-98)/(-14) + 3*1.
10
Suppose m + 4*m + 10 = 0, -4*a - 5*m = -2. Calculate the smallest common multiple of 16 and 7/a + 2/(-6).
16
Let p = 167137/2970 - 3198/55. Calculate the common denominator of 77/12 and p.
108
Let t = 79 - 44. Let a = t + -29. Calculate the smallest common multiple of 108 and a.
108
What is the common denominator of -2 - 2 - 3 - (-34)/14 and 18/605?
4235
Let x = -1335503/60 + 22259. What is the common denominator of 47/30 and x?
60
Let x = -135056264 + 1458202480472/10797. Let g = -8/183 - x. What is the common denominator of 37/9 and g?
531
Let k = -4 + 6. Suppose -4*m + 2*z + 176 = 0, 112 + 19 = 3*m - 2*z. What is the lowest common multiple of 1*(-1 + m/5) and k?
8
Suppose -2*f + 4 = -0*f. Let i be (-17597)/(-5) - (f - 2). Let j = 3532 - i. Calculate the common denominator of -53/13 and j.
65
Let z be (-2 - -3 - -4) + 0. Suppose 0 = z*m + 10, 3 = 2*v - 4*m - 9. Suppose -4*o + 0*o + 8 = 0. Calculate the least common multiple of v and o.
2
Calculate the least common multiple of -2 + 2 - (-1 + -14) and 120.
120
Let h(k) = -k**3 - 10*k**2 + 9*k + 2. Let y be h(-11). Let o = -14 + y. Calculate the least common multiple of o and 10.
10
Let o be (-1 - 2)*(-3 - -2). Suppose 0 = -o*d + 3*t + 27, d - 2*t + 0*t = 14. Calculate the smallest common multiple of 6 and d.
12
Suppose 0 = -2*o + 2*m - 158 - 690, 0 = o + 2*m + 418. Let b = -915/2 - o. Let s = 2/3191 + 175481/38292. Calculate the common denominator of s and b.
12
Suppose 0 = -5*s - 15, -4*s - 132 = -5*u - 5*s. What is the smallest common multiple of u and 90?
270
Let i = 33 + -32. Calculate the common denominator of 97/10 and i - 4/12*31.
30
Find the common denominator of 10/((-210960)/62487) + 3 and -115/6.
7032
Let g(j) = -3*j + 12. Let m be g(5). Calculate the least common multiple of (-6)/(-3) + 8 + -2 and (3/6)/(m/(-84)).
56
Calculate the common denominator of (-86)/360 - (60/25 + -2) and 67/36.
36
Let f(x) = -x**2 + 7*x - 4. Suppose 6*l - 21 = 9*l. Let p = 9 + l. What is the least common multiple of f(6) and p?
2
Let v = -3/530 - 1709/2385. What is the common denominator of v and -3 + 2 - 1157/104?
72
Let f = -197 + 225. Calculate the lowest common multiple of 8 and f.
56
Let u = -1/242 - 5563/726. Let r = 1281 + -6363/5. Find the common denominator of u and r.
15
Suppose 17 - 9 = 2*y. What is the common denominator of -77/20 and (-4 + 218/32)/((-2)/y)?
40
Let a = -206371049155029229/169780 - -1215520374333. Let r = -1/16978 + a. Calculate the common denominator of r and 81/2.
20
Let h = -45601/8 + 5689. Let f be ((-6)/4)/(6/(-8)). What is the common denominator of h and 2/5 - (-1)/f?
40
Suppose -3*o - h - 2*h - 84 = 0, 35 = -2*o + 5*h. Let d(x) = -2*x**2 - 26*x - 13. Find the common denominator of d(-14) and o.
1
Let k be 1 + (4962/(-15003))/(4/(-256)). Let r = 1/3334 - k. Find the common denominator of -11/10 and r.
30
Let k = 4946 + -29599/6. Calculate the common denominator of k and -3/25.
150
Suppose 3*a + 3*c - c = -50, 0 = 2*a - 2*c + 20. Calculate the common denominator of 10/a + 1 - 2010/1008 and 14/9.
72
Let d = -3/66937 - -162341/635165193. Let p = -730645/37956 - d. Calculate the common denominator of 87/14 and p.
28
Let j = 91439/120 + -762. What is the common denominator of j and 47/108?
1080
Let a = 24901/20 - 1248. What is the common denominator of 7/44 and a?
220
Let w = 23 - 18. Find the common denominator of 474/(-660) + 2/w and 87/20.
220
Let j(n) = 61*n + 394. Calculate the least common multiple of 24 and j(-6).
168
Let r = 28492401652/2219796235 - 1/15049466. Let m = r + -67/59. Calculate the common denominator of m and (750/20)/((-36)/(-10)).
60
Suppose 5*g = -4*k + 18, -5*g - 13*k = -16*k - 39. Calculate the lowest common multiple of g and (-20)/6*(-12)/10.
12
Suppose 2*g - 3*c + 18 = -c, 5*g = -2*c - 10. Find the common denominator of -119/10 and 1842/1008 + g - 4/14.
120
Let x = 154 + -22334/145. Let f = 9409497607/290 + -32446585. Let d = x - f. Find the common denominator of 46/11 and d.
22
Suppose -7*r = -14*r + 294. Calculate the common denominator of -14/27 and (-80)/r + (-6)/(-2) + -1.
189
Let c = 27442 + -2140505/78. Calculate the common denominator of c and -34.
78
Suppose -2*m = -3*m - 2. Let q = -503/5 - -106. Calculate the common denominator of 3/m*(-910)/(-30) and q.
10
Let d = 3 + 27. Calculate the common denominator of 701/(-198) + d/(-165) and ((-1)/2)/(63/(-675)).
126
Let h = 37843/18 - 2108. Calculate the common denominator of (-89)/24 + -9 + 7 and h.
72
Let w be (3/(-6) - -1)/((-156)/(-19245)). Let u = -940/13 + w. Calculate the common denominator of u and -55/4.
8
Let t be (19 + -23)/(2/8). Let l = -29 - -21. Let q = l - t. Calculate the smallest common multiple of 16 and q.
16
Let a(y) = y**3 + 4*y**2 - 2. Let f = 157 - 92. Suppose 5*m + f = 3*l, -l + 2*m = -2*l + 18. Calculate the least common multiple of a(-2) and l.
60
Let b be (36/27)/(2/(-132)). Let s = -20733/14 - -1480. What is the common denominator of ((-102)/b)/((-8)/(-16)) and s?
154
Let c(r) be the third derivative of 5*r**2 + 0 + 7/3*r**3 - 1/60*r**5 - 5/24*r**4 + 0*r. Calculate the lowest common multiple of c(-6) and 11.
88
Suppose -j + 4*j = 30. Suppose 0*y + j = y. Suppose d - 3 = 17. What is the smallest common multiple of d and y?
20
Let u(t) = -6*t + 23. Calculate the smallest common multiple of 21 and u(-9).
231
Suppose 10 = -7*o + 136. Suppose 8 = y - 5*l - 5, -3*l - o = -4*y. Calculate the least common multiple of 6 and y.
6
Let x = 19953 + -598459/30. What is the common denominator of (-205)/(-11)*(-4)/(-30) and x?
330
Let x = -15 + 22. Suppose -2*a - 30 = -x*a + 5*d, -4*a + 22 = -3*d. What is the least common multiple of a and 20?
20
Let q(b) = 24*b**2 - 163*b - 10. Calculate the lowest common multiple of q(7) and 360.
1800
Let z = 2524/5 + -67903/135. Let x = 4360/1659 + -5/553. What is the common denominator of z and x?
189
Calculate the common denominator of (-1)/(-4) + 11247/(-3312) and -79/112.
336
Calculate the least common multiple of 1 + 3 + (-28)/(-4) and 162.
1782
What is the common denominator of -1/2 and 7/70*(-2225)/10?
4
Let k be (-50)/(-20)*(2 + 0). Suppose k*l = -25, 0*z - l = z - 3. Calculate the smallest common multiple of z and (-5)/((2/(-5))/(32/40)).
40
Let x = -3/182 + 4327/273. Calculate the common denominator of x and (-112)/124*(-3)/4.
186
Let o = -1085 - -3235. Let n be 86068/30*(8 + (-140)/16). Let z = n + o. Find the common denominator of -23/3 and z.
30
Let n = 1072 - 1064. What is the least common multiple of n and 3?
24
Let v(n) = n**3 + 9*n**2 + 4*n - 23. Suppose 22 = -3*q - 2*u, -2*u + 10 = -5*q + 4*q. What is the lowest common multiple of v(q) and 11?
99
Let n = -3/96884 + 150460915/2034564. Let m = -352/7 + n. Let x = 29 + -97/2. Find the common denominator of m and x.
6
Suppose -2*n = -2*l - 4*n + 100, -254 = -5*l - n. Let z = -45 + l. Calculate the lowest common multiple of 15 and z.
30
What is the common denominator of -8/95 and (-436)/(-285) + 4/20*-3?
285
Calculate the lowest common multiple of ((-81)/(-12))/((-2)/(-8)) and -3 + 2 + 0 + -17 + 42.
216
Suppose a + 335 = -a - s, -3*s - 3 = 0. Let j = 119 + a. Let h = -409/9 - -4127/72. Calculate the common denominator of h and j.
8
Let v = -9 - -9. Suppose -6*c - 1 + 13 = v. What is the lowest common multiple of c and 3?
6
Let t = 13431907/138 + -97332. Calculate the common denominator of t and 59/22.
1518
Let f = -3/16 + -341/16. Let z = 3/4880 + 114653/43920. Calculate the common denominator of z and f.
18
Suppose -5*z = 5*m - 20990, -3*z + m = 2*z - 21008. Let k = -100955/24 +