64
Let o(r) = 45*r - 23. Calculate the smallest common multiple of o(1) and 132.
132
Let k = -11610 - -56227/5. Let c = k - -7717/20. Calculate the common denominator of -2 - (-19)/16 - 1 and c.
16
Calculate the common denominator of (-100)/(-450) + 878/72 and -1/33.
132
Suppose 20 = 2*g + c, -4*c = -5*g - c + 61. Calculate the lowest common multiple of 47 and g.
517
Let x = -95/9 - -12. Let k = x - 269/180. What is the common denominator of 99/2 and k?
20
Suppose -86*j + 75*j = -73 - 26. Calculate the smallest common multiple of j and (-81)/(-12) + 2/8.
63
Let y(b) = -b - 19. Let q(u) = u + 1. Let v(f) = 3*q(f) + y(f). Let a be v(7). What is the lowest common multiple of 4 and -2 + 4 + 1 - a?
20
Let f(c) = 18*c**2 + 11*c - 14. Let p be f(-6). Calculate the common denominator of -11/27 and (-2)/2*(p/(-18))/(-4).
27
Let w be (-10*1/(-3))/((-6)/(-9)). Suppose t - 8 - 1 = -2*m, 50 = w*t + 5*m. What is the least common multiple of t and 5?
55
What is the lowest common multiple of (10 - 10) + 2 + 3 and (10/4)/((-7)/(-14))?
5
Calculate the common denominator of (-3 + (-251)/(-25))*45/(-54) and 109/30.
30
Let a = 313/7 - 2431/42. Find the common denominator of a and (18/(-7) - -3) + (-18377)/13202.
246
Let s be -397*95/60 + -5. Let i = s + 634. Calculate the common denominator of i and 91/6.
12
Suppose 0 = 2*l + 3 - 1. Let j be -2 - l/((-1)/(-8)). Calculate the common denominator of 2/j + (-172)/21 and -28.
7
Let j(t) = 2*t**3 - t**2 + 2*t + 6. Calculate the least common multiple of 352 and j(0).
1056
Suppose -14 = -z - 0*z. Suppose 13 = 4*t - 5*t + 2*u, -4*u - 4 = 0. What is the least common multiple of z and (72/t)/(12/(-40))?
112
Let z(m) = m**3 - 19*m**2 - 40*m - 24. Calculate the least common multiple of z(21) and 333.
666
Let b(y) = -y**3 - 25*y**2 - 5*y - 44. What is the smallest common multiple of b(-25) and 45?
405
What is the lowest common multiple of 30 and 6/(18/(-15)) - (1 + -126)?
120
Let h(n) = 86*n - 6. Suppose -3*d - 42 = -9. Let f be h(d). Find the common denominator of -57/16 and f/(-576) - (-4)/18.
16
Let u(t) = t**3 - 9*t**2 + 7*t - 37. Calculate the lowest common multiple of 312 and u(9).
312
Calculate the common denominator of 14/185 and (-3)/5 - (-9933)/3850.
1850
Let a = -8123/90 - -442/5. What is the common denominator of a and 61/50?
450
Suppose a = q + 26, -4*q + 40 = a + 14. Suppose a = 2*h + 10. Calculate the lowest common multiple of 12 and h.
24
Calculate the common denominator of 55/32 and -3 - -2 - (-1602)/1800.
800
Suppose -3*l + 81 - 292 = 5*s, 4*s - 3*l = -158. Let t = -23 - s. Calculate the smallest common multiple of t and 9.
18
Suppose 206*d - 207*d + 220 = 0. Calculate the least common multiple of d and 242.
2420
What is the least common multiple of 77 and (-15240)/(-381) - (-1 - -6*1)?
385
Let s = -10 + 3. Let u = 1365 + -9512/7. Find the common denominator of 2/s + (-780)/112 and u.
28
Suppose 0 = -3*g - 5*c + 100, -5*c = -0*g - g + 60. What is the smallest common multiple of 40 and g?
40
Let g = -6952/2493 + 3/277. What is the common denominator of 20/39 and g?
117
Let u be 2/2 + 33/(-24)*255. Let y = 349 + u. Find the common denominator of y and 32/9.
72
Let n = -2151/20 - -594/5. Find the common denominator of -41/28 and n.
28
Suppose -2*c - 153 = c. Let n = c - -56. Calculate the lowest common multiple of n and 5.
5
Let g(l) = -2574*l + 2585. Suppose 2*u + 0*u = 16. Calculate the least common multiple of g(1) and u.
88
Let m = 53273/10 + -5317. Let w be (27892/32)/((-1002)/8). Let d = -21/167 - w. Calculate the common denominator of d and m.
30
What is the common denominator of (-234)/(-54) - (3 + -1) and -11/54?
54
Suppose t = -7*t. Let w = t + 11. What is the least common multiple of 10 and w?
110
Let c = 325 + -320. Calculate the smallest common multiple of c and 8.
40
Suppose -3*j = 5*w - 93, -4*w - w + 2*j = -113. What is the common denominator of (1*(33 + 4))/(-2 - 3) and w/(-4)*(-7)/(-6)?
40
Suppose 28*b = 30*b - 14. Suppose 0 = -k - 0 + 3. Calculate the smallest common multiple of (-6 + k)/(-3)*2 and b.
14
Suppose 31 - 101 = -5*q. Let f(i) = -i**2 + 14*i + 8. What is the smallest common multiple of 82 and f(q)?
328
Let r = 38 - 44. Calculate the common denominator of -39/86 and r/(-14) + (-577)/154.
946
Find the common denominator of 47/15 and 16/5 + 56/8.
15
Let u = 55496 - 9989351/180. What is the common denominator of 13/36 and u?
180
What is the common denominator of -97/4 and (3 - 4)/9 - 8163/(-111375)?
5500
Suppose 3*y + o = -2, 2*y - 4*y = -5*o - 10. Let j be (-2)/(-1 + (-2)/(-4)). Suppose y = -j*n + 129 - 41. Calculate the smallest common multiple of 2 and n.
22
Find the common denominator of 0 - (-664)/60*(-7)/(-224) and 101/44.
2640
Suppose -6*p - 46 + 10 = 0. Let u be (15/p)/((-2)/108). Calculate the common denominator of -23/3 and u/(-10)*(-4)/5.
15
Suppose 2*l + k = -9 + 22, 3*l - 18 = -2*k. What is the lowest common multiple of l and 199?
1592
Let h be (1 + -5 + 55)/(-1). Let m be -4 - (0 + 219/h). Let t = 739/204 + m. Calculate the common denominator of t and -97/10.
60
Let t be 1 - -1*1 - (-356 - -390). Suppose 4*a - 156 = -4*o, 2*a - 14 = a + 4*o. Let y = a + t. Calculate the least common multiple of y and 10.
10
Find the common denominator of (5/50)/(1/73) and -21/542.
2710
Suppose l = -2 + 1. Let v(o) = 4*o + 18. Let p be v(-3). Let j = l + p. Calculate the least common multiple of j and 9.
45
Let q(p) = p**3 + 6*p**2 + 2*p + 6. Let v be q(-5). Let w = 390/23 - 433/92. What is the common denominator of ((-7)/v)/(12/9) and w?
4
Let u = -1390 + 976. What is the common denominator of 55/2 and u/(-36) + (-2)/5?
10
Suppose -h - 4*r = -54, 0 = -h - 3*r - 1 + 59. Calculate the lowest common multiple of 160 and h.
1120
Suppose 4*q + 4*f - 31 = -3, -3*f - 3 = -3*q. What is the common denominator of 16/21 and (-2 + 44/24)*q/6?
63
Let f = -95 - -104. Let z = f + 2. Let x(w) = w + 6. What is the least common multiple of z and x(0)?
66
Calculate the common denominator of -31/30 and 3*4/9*(-112)/4992.
1170
Let v be 0*1/6*3. Suppose v - 8 = -4*b. Let t(m) = 2*m. Calculate the lowest common multiple of t(b) and 22.
44
Let q = -34035 - -1905845/56. What is the common denominator of q and -1/40?
280
Let o = 54808/1603 + -11/229. Let z = o - 35. What is the common denominator of z and (-117)/(-15) + (-22)/(-44)?
70
Let p = -1724 - -1850. What is the smallest common multiple of p and 252?
252
Let g = 663/4 - 163. What is the common denominator of g and 15?
4
Suppose 3*p + 5*z - 47 = 188, -2*p - 3*z = -157. What is the least common multiple of 56 and p?
560
Let u be (5528/(-6))/2*12/(-80). Let l = -4138/5 - -807. Let b = l + u. Find the common denominator of b and -7/3.
6
Let j = 368 + -358. What is the smallest common multiple of 2 and j?
10
Let k be (204/(-119))/(-1 + (-5)/(-7)). What is the common denominator of 236/k*(-3)/(-18) and 7/12?
36
Suppose -79*a + 76*a + 24 = 0. Calculate the least common multiple of a and 264.
264
Suppose -2*g - 19 = -79. Let s = 38 - g. Calculate the least common multiple of s and 12.
24
Let p = -12 + 8. Let c be (p - -12)/(-4) + 0. What is the common denominator of -137/12 and c + (-55)/(-30)*1?
12
Let b = 24242336 - 824303911/34. Let n = b + 1897. Find the common denominator of n and -59/7.
238
Let o = -25771/33 + 7832/3. Let l = -1826 + o. What is the common denominator of l and 43/4?
44
Suppose 0 = -3*n - 7 + 19. Suppose -n*j + 8 = -0*j. Suppose 4*m - 38 = 5*z - 2, -45 = -5*m - 3*z. Calculate the smallest common multiple of j and m.
18
Let r(l) = -l + 7. Let f be r(5). Suppose -31 + 11 = -k + f*g, 0 = g + 2. Let o = 23 + -11. What is the smallest common multiple of k and o?
48
Let g = -96 + 27. Let d = -106 - g. Let w = -27 - d. What is the smallest common multiple of w and 12?
60
Let z = -4031/630 + -82/63. What is the common denominator of -75/32 and z?
160
Let a = 40 + -56. Let o = -6 - a. Suppose 0 = 4*t - 11 - 13. Calculate the smallest common multiple of o and t.
30
Let a(h) = -h**2 + 14*h + 9. Let y be a(14). Let t = 31 - y. What is the least common multiple of t and 12?
132
Let m be 240/(-56) + 4/14. Let x be (-40)/16*m/5. Calculate the common denominator of (1160/36)/5 - x and -17/9.
9
What is the common denominator of 6/28*(-344)/54 and 151/66?
138