z = 2371/4 + -611. Find the common denominator of z and j.
52
Let c(o) = o**3 - 4*o**2 - 2*o - 3. Let m be c(3). Find the common denominator of (-32)/(-6) - 4/((-96)/6) and ((-2)/m)/(1*12/477).
12
Suppose 3*c + 3 = -4*j - 0, -5*c + 5*j = -30. Suppose 0 = q - w - 3, -c*w + 3 = -0*q + 3*q. Suppose l - q*l = -5. What is the lowest common multiple of l and 9?
45
What is the least common multiple of 672 and (((-5096)/(-21))/(-13))/((-1)/9)?
672
Let o = -9 + 19. Suppose -o*d - 18 = -13*d. Calculate the least common multiple of d and 20/6*(-33)/(-11).
30
Let j = 203/2 - 2363/22. Let q = -11137/1881 - j. Find the common denominator of q and -61/152.
1368
Calculate the common denominator of -59/102 and (-39)/3570 + (-3)/(-56)*8.
510
Suppose 0 = -71*a + 33*a + 146414. What is the smallest common multiple of 9 and a?
34677
Let v(b) = -5 - 8*b - 2*b**2 + 0*b + 8*b. Let r(t) = -5*t**2 + t - 14. Let y(d) = 3*r(d) - 8*v(d). Calculate the lowest common multiple of y(-6) and 16.
16
What is the common denominator of 3/100 and 6921/304 + (-3772)/164?
7600
Suppose -13 = -3*o - 3*q + 5, -2*q - 6 = -o. Let u be -3 + o + (-3 - -4) + -35. Let v = u - -40. Calculate the least common multiple of v and 1.
9
Let c(l) = -l**2 - 9*l + 4. Let d be c(-10). Let s be (-7 - d)/(-2*1/88). Let k = 58 - s. What is the smallest common multiple of 10 and k?
70
Let i = 137794 + -137784. Suppose 0 = -2*g + 5*g - 12. Suppose -2*c = 2*v - 27 - 23, 106 = g*c - 2*v. Calculate the smallest common multiple of i and c.
130
Let r = -1 + 8. Let b = 401 - 415. Calculate the least common multiple of (-32 - -33) + b/(-1) and r.
105
Let q be (7/(-56)*0)/(-2). Suppose -14*l + 65*l - 4743 = q. Calculate the smallest common multiple of l and 18.
558
Let n = 97861/3876 + 2/969. Let f(o) = -296*o - 8. Let q be f(5). Let i = q + 40157/27. Find the common denominator of i and n.
108
Suppose -11 = 4*d + m, 5*d + 5*m = 5 - 15. Let l be d/(1/(4/6)). Calculate the common denominator of 22/15 and l - (6265/(-90))/7.
90
Suppose -i - l - 4 = -10, 3*i - 10 = 5*l. Find the common denominator of -1/5 and (84/147)/(i/(-6)).
35
Suppose 0 = -2*a - 2*q + 114, a = -4*a + q + 303. Calculate the least common multiple of 64/12*36/8 and a.
120
Suppose 0*c = 3*c - 5*z - 86, z = c - 30. Find the common denominator of -1/16 and 4 + -6 + (74/c)/1.
16
Let f(c) = -c**3 - 31*c**2 - 167*c + 112. Calculate the smallest common multiple of 888 and f(-24).
9768
Let d = 12459724619/77 + -161837526. Let w = d - -22921. What is the common denominator of w and -169/42?
462
Calculate the common denominator of 111/310 and (-1)/2*-4 + (-7252)/(-6272) - 1.
4960
Suppose 12*s - 8*s - 60 = 4*z, -z = s - 13. Suppose 7 + 0 = o. Calculate the smallest common multiple of 2/s*(-84)/24*-4 and o.
14
Let i = -2045187/442 - -4627. What is the common denominator of i and 50/1989?
3978
Let m(x) = 21*x**2 - 70*x + 529. Calculate the least common multiple of m(9) and 2400.
4800
Let f be 3665/2 - (-1 + 0). Let g(s) = 497*s + 1102. Let v be g(-6). Let j = v + f. What is the common denominator of j and -31/3?
6
Let s be (1/2)/((-23)/3128). Let m = -44 - s. Calculate the least common multiple of m and 15 - (1 + -3 - -2).
120
Let l(n) = -3*n**2 - 28*n - 27. Let d be l(-8). Suppose 0 = -d*f - 2*g + 226, -6*g + 11*g + 73 = 2*f. Calculate the least common multiple of f and 32.
352
Suppose 12 = 3*g - 7*g. Suppose 18*b - 42*b + 81 = -183. Calculate the lowest common multiple of b and (-6)/4*(g + 1).
33
Let y = -2554861/24 + 106451. Let w = 97/12264 + 10/219. Find the common denominator of w and y.
168
Suppose 543 - 498 = 5*t. What is the common denominator of (-9)/28 - 1/(-1) and (216/(-156))/t + (-3098)/(-364)?
28
Suppose -65*u - 54 = -74*u. Calculate the lowest common multiple of u and 70.
210
Calculate the smallest common multiple of (-177)/(-472) + (-4989)/(-8) and 234.
1872
Let r = 5308 + -100887/19. Let u = 18 + 191. Let o = 1255/6 - u. Calculate the common denominator of r and o.
114
Let p = -131986331/27 + 4890091. Let j = -1708 + p. Find the common denominator of j and ((-36)/(-360))/(627/6175) + 6/33.
54
Let q be 12/(-90) + 153/135. Let j = 22363 + -447149/20. Find the common denominator of (14 - 96)*q/(-8) and j.
20
Let i = -33165361/7968980 - 525/20971. Let f = i + -6/95. Calculate the common denominator of 13/27 and f.
108
Let v = -61 + 67. Let c be (-8)/6*(1 + -4). Suppose 2*z = 5*o - 84, -o + c*z + 40 = o. What is the least common multiple of v and o?
48
Suppose 4*l - 5 = 3*l, -3*l + 5 = n. What is the common denominator of -12 and (-1366)/(-420) + 3/n?
21
Calculate the smallest common multiple of 18 and (-51 + 6)*(7/28 - (-149)/(-4)).
3330
Suppose -3*h - 36 = -5*h. Suppose 38*n + 33*n - 3976 = 0. Calculate the lowest common multiple of h and n.
504
Suppose -4*a - 18 = -5*c, -2*c - 10 = 4*a - 3*c. Let z be (-2 - -2)/a + 3*4. What is the common denominator of (4/z - 80/(-18)) + 0 and -43/15?
45
Suppose -462433 = -3192*k + 3178*k + 820443. Calculate the lowest common multiple of 4 and k.
183268
What is the least common multiple of 1443 and 7/(106/26 - -5 - 9)?
10101
Let l(o) = 9*o**2 + 43*o + 44. What is the smallest common multiple of l(0) and 2848?
31328
Let n(t) = 751*t**3 - 3*t + 6. Let w be n(2). Let s = w + -35965/6. Calculate the common denominator of s and 85/22.
66
Let r = 4754 + 1785. Calculate the lowest common multiple of r and 3.
19617
Let j(a) = 3*a - 3. Let z be 0 + 4 - (172 + -15). Let u = z + 167. What is the least common multiple of j(7) and u?
126
Suppose 11 = -3*z + 44. Suppose 0 = 5*x - 2*w - 62, x - 5 - z = 4*w. Calculate the smallest common multiple of 14 and x.
84
Suppose 4*l - 668 + 776 = 0. Let g(f) = -2*f**2 - 55*f + 17. Calculate the least common multiple of g(l) and 12.
132
Suppose -1544 + 254 = -10*f. What is the common denominator of f/(-10) - -8 - -2 and -57/10?
10
Find the common denominator of 60/828*(-1360)/700 and 67/98.
6762
Calculate the common denominator of (4/(-3840))/((17 - 11)/228) and 59/160.
480
Suppose -2*b = -13 + 17. Let w be (b/3260)/((-1)/28). Let a = -80881/11410 + w. What is the common denominator of -7/40 and a?
280
Let l = 356 + -275. Suppose -4*k = -l - 351. Calculate the smallest common multiple of k and 36.
108
Let f = 239298 + -224940141/940. What is the common denominator of -23/3760 and f?
3760
Let o = 3/4249 - 38499/365414. Find the common denominator of o and -29/108.
4644
Suppose -232*o + 210 = -239*o. Calculate the lowest common multiple of ((594/15)/(-3))/(2/o) and 16.
1584
Suppose -3*b + 10197 = 9864. What is the smallest common multiple of 17 and b?
1887
Suppose 0 = 21*o - 22*o + 2*n + 608, 0 = o + 3*n - 638. What is the smallest common multiple of o and 28?
4340
Suppose -10*h = 37*h - 2059 + 931. What is the smallest common multiple of 228 and h?
456
Let s(q) = 1111*q**2 - 21*q - 25. What is the lowest common multiple of s(-1) and 1353?
12177
Let d = 1045264/3485 + -5102/17. Calculate the common denominator of d and 83/45.
1845
Let d = -655807 + 794838229/1212. Calculate the common denominator of -2/2929 and d.
35148
Let x(u) = u**2 - 5*u - 5. Let s(k) be the first derivative of -5*k**2 + 4. What is the least common multiple of x(6) and s(-1)?
10
Let z(r) = -16*r - 1. Suppose 1080*l - 1065*l = 375. What is the smallest common multiple of z(-1) and l?
75
Suppose -5*o + 20 = 8*c - 3*c, -46 = -4*o + 2*c. Calculate the lowest common multiple of 1*((-8 - -5) + 4)*o and 14.
126
Let d = 71/17 - 205/102. Find the common denominator of d and 42/2447.
14682
Let h(b) = 43*b**2 + 546*b - 29. Calculate the smallest common multiple of 350 and h(-13).
700
Let n be (317595/(-150))/(0 + 1). Let u = n - -2115. Calculate the common denominator of u and -65/422.
2110
Let a = 9452 + -1124763/119. What is the common denominator of (((-1155)/(-10))/7)/(-3 + 64/(-24)) and a?
238
Let s be -122 - 16/4 - -2. Let z = s - -90. Calculate the smallest common multiple of (-51)/z*(-64)/(-6) and 4.
16
Let p = -4491/118 - -956963/25075. Find the common denominator of p and 93/80.
6800
Suppose -5*a + 4896 = -594. What is the least common multiple of 72 and a?
4392
Let j = 5971 + -5970. Calculate the least common multiple of 573 and j.
573
Let m = -149701/20 - -7482. Calculate the common denominator of -25/3712 and m.
1