12
Suppose -1 = 3*a + 4*d - 572, 5*d = -5*a + 955. Calculate the lowest common multiple of 4 and a.
772
Suppose 4*l + 4*b - 8 = 0, -4*l + 3*b + 48 = -b. Find the common denominator of 466/(-120) + (-2)/(-8) and 1*278/24 + l + -11.
60
What is the common denominator of 77/136 and (-90)/24 + 4 - (-376)/3808?
952
Suppose -3*w + 15 = -9. Suppose 30 = 15*n - 12*n. What is the lowest common multiple of n and w?
40
Let v(y) = -17*y + 16. Let h be v(2). Find the common denominator of (h/8)/(68/(-12) - -4) and 83/36.
180
Let s be (-300)/1344 + 32/56. Let t = 3142775165/336 - 9353477. Let h = t - s. Calculate the common denominator of h and -37/18.
18
Calculate the common denominator of -4 - (5 - 1506/120) and 58/5.
20
Let d(b) = -b**3 + 7*b**2 + 3*b - 11. Let w be d(7). Let u = 11 - w. What is the lowest common multiple of u and 2?
2
Let a(p) = -2*p - 2. Let y be a(3). Find the common denominator of 1/(-1) + (-13)/22 and y + 5 + 47/(-2).
22
Let u = 751656916 - 2173791777749/2892. Let y = -9/482 - u. What is the common denominator of y and ((-58)/(-6))/((-8)/(-3))?
24
Suppose -5*i + 1563 = 3*v - 7867, -4*i - 6272 = -2*v. Let h = v - 18779/6. Let u = -1574 - -4682/3. What is the common denominator of h and u?
6
Suppose 533 - 12413 = -55*x. Calculate the smallest common multiple of 16 and x.
432
Suppose 1253 = 3*f - z, 3 = -3*z + 6*z. Calculate the lowest common multiple of f and 2.
418
Let g = -25 + 28. Suppose g*w = 8*w + 105. Find the common denominator of 32/11 and w.
11
Let u = -57 + 97. What is the least common multiple of 190 and u?
760
Let w = 3053/306 - 146/17. What is the common denominator of w and -50/207?
414
Suppose -3*k - 16 = -4*h, 2*h = -4*k + h - 34. Suppose -q = -4*b + 25, 0*q + 31 = 5*b - q. Calculate the lowest common multiple of b/k - 450/(-24) and 86.
774
Let t = 86443 - -8915. Let z be (t/8)/(-2 - -5). Let r = -3948 + z. Calculate the common denominator of r and 23/3.
12
Suppose -o - 2*o + 63 = 0. Calculate the least common multiple of o and 48.
336
Let j = -1889 + 35680/19. Let v = 3407/418 + j. Find the common denominator of v and 99/32.
352
Let q = 7249624/3143 + -16146/7. Let p = 16234/3143 - q. What is the common denominator of -77/15 and p?
105
Suppose -4*f - 1 = -9. Suppose -3*z = 3*o + f*z - 25, 0 = 4*o - 4*z - 44. Calculate the least common multiple of o and (1/(-2) + 136/(-16))*-1.
90
Let b = 40155/3368 - 20/421. Find the common denominator of b and 25/(-18)*210/75.
72
Let d = -2/9439215 - -319048613417/56635290. Let a = 5637 - d. Calculate the common denominator of 97/30 and a.
90
Let c(k) = k**3 + 2*k**2 - k + 2. Let n be c(3). Suppose -4 = 8*h - n. What is the lowest common multiple of 3 and h?
15
Let g = -1442 + 1999. What is the least common multiple of 11 and g?
6127
Suppose 16 = 4*h, -c + h + 34 = 14. What is the least common multiple of 42 and c?
168
Let o(u) = u**2 + 11*u + 10. Let s be o(-11). Let v be (-2)/4 + 90/4. Let x = v - s. What is the smallest common multiple of x and 2?
12
Let k be 37*((-2)/(-4)*8 - 6). Let b = 95 + k. Calculate the lowest common multiple of b and 6.
42
Suppose 2*z = -a + 1, -2*z - 5*a - 19 + 0 = 0. Suppose -7*g = -z*g - 16. What is the smallest common multiple of 4 and g?
4
Suppose 85 = v + 2*m - 7*m, 2*m - 99 = -v. What is the smallest common multiple of v and 2?
190
Suppose -5*t - 4 - 4 = 3*n, -5*n = 5*t + 10. Calculate the common denominator of 48/71 and n/18*(4 + (146 - 4)).
639
Let g = -59860/11 + 5446. Let x = -19736/903 - 166/129. Let u = x - -1894/77. What is the common denominator of g and u?
11
Calculate the smallest common multiple of 75 and (5*4/(-4) + 1)*-5.
300
Suppose -2*a - 1 = -7. Let s be 2 - 0/a - -1. Suppose 5*y + m - 51 = s*m, m = y - 9. What is the lowest common multiple of 1 and y?
11
Let y be (4222/12)/(2 + -1). Let l = y + -1462/3. Let c = l - -131. Find the common denominator of c and 93/8.
8
Suppose 10*s - 5*s - 3*f = -138, -5*s - 4*f - 131 = 0. Let t = 41 + s. Calculate the least common multiple of 44 and t.
308
Let t = -3985 + 39783/10. Calculate the common denominator of t and (-7)/(-2)*(-54)/14.
10
Let f be (6 + 153)*(2 - -6). Let v be 26970/f*2/5. Let k = v - -1/53. What is the common denominator of k and 45/26?
26
Let o(y) = -y - 8. Let h be o(-11). Let a be (-3)/2*(-4)/h. Suppose -2*s - 3*s = 10, -2*s - a = u. Calculate the smallest common multiple of u and 12.
12
Suppose 0*r + 2148 = 4*r - 2*l, 0 = -r + 3*l + 527. Calculate the least common multiple of r and 392.
4312
Let j be (8246/(-8))/(11/(-44)). Let w be (-12187)/j + (-1 - -4). Let i = -48125/9424 + w. Find the common denominator of 43/16 and i.
16
Let s(m) = -33*m**3 + 12*m**2 + 11*m. Let r be s(10). Let i = -730256/23 - r. Let l = i - -26593/460. What is the common denominator of 11/20 and l?
20
Calculate the common denominator of (3971/660)/1 + -3 and -137/24.
120
Let q be (-5670)/50 + 4/10. Calculate the common denominator of -25/28 and (q/(-5))/((-36)/15).
84
Suppose 4*f + 3 - 15 = 0. Let k be (-1)/((-3)/f) - -3. Find the common denominator of 63/(-4) + k + -2 and 32.
4
Let s(r) = -r**3 + 13*r**2 + r + 15. Let o be s(10). Suppose 5*n - b - 309 = -4*b, 5*n - 5*b = o. What is the lowest common multiple of n and 27?
189
Suppose -2*g = 3*a - 2, -5*g = a + 4*a. Suppose i - 3 = 0, 2*i = 4*k - a*k - 14. What is the lowest common multiple of k and 26?
130
Suppose 0 = -3*p - 29 + 2. Suppose -2*o + 0*o = -16. What is the smallest common multiple of o and (-245)/p - -1 - 8/36?
56
Let u = -91 - -112. Calculate the smallest common multiple of 42 and u.
42
Suppose 5*u = -0*u + 20. Suppose -10*c + 37 = -3. Calculate the least common multiple of c and u.
4
Suppose -24 = -0*c - 4*c. Suppose -87*o = -78*o - 108. What is the least common multiple of c and o?
12
Calculate the common denominator of 5/(-6)*78/(-8) and (-9048)/(-6048) + ((-12)/27)/(-4).
56
Suppose -2*k + 20 + 0 = 0. Suppose -5*p - 5 = -k. Let b = p - -6. Calculate the lowest common multiple of b and 1.
7
Suppose -3 = 3*u + 12. Let x = -28 - -44. What is the least common multiple of x and (u/4)/((-1)/8)?
80
Let d = 4579/2 + -2240. What is the common denominator of -43/2 and d?
2
What is the common denominator of 109/10 and ((-1)/4 + 2/4)*29?
20
Let d(k) = k**3 - 2*k**2 - 7*k + 235. Calculate the least common multiple of d(0) and 40.
1880
Suppose 10*g - 5*g - 115 = 3*m, -4*g + 94 = -2*m. What is the least common multiple of 26 and g?
26
Suppose 5*f + 13 = 2*b + 1, -f + 3*b = 5. What is the common denominator of (-350)/44 - (-1 + f) and 97/4?
44
Let q(v) = -v**3 + 4*v**2 + 4. Let b be q(4). Suppose -4*c + 0*c - 1068 = -2*r, c + b*r = -258. Calculate the common denominator of -31/3 and c/(-20)*(-15)/35.
30
Let k = 195 - 183. What is the lowest common multiple of k and 9?
36
Suppose -5*k + 5 = 30. Let w = -1 - k. Calculate the smallest common multiple of (-176)/(-154) - 828/(-84) and w.
44
Let n = -3821 - -30523/8. What is the common denominator of n and -13/62?
248
Let l = 101/20 - 19/5. What is the common denominator of 53/34 and l?
68
Let n = 47 - 21. Let j = n + -58. Find the common denominator of (-24)/j*(-4)/(-6) and -89/16.
16
Let j = -34642/21 + 1649. Find the common denominator of 41/(12/(-2 + 0)) and j.
42
Suppose -5*v = -6*v + 6. Calculate the smallest common multiple of 53 and v.
318
Suppose 6 = -2*i - 10. Let c be 9/36 - 190/i. Let r = c + -8. Calculate the least common multiple of r and 4.
16
Let n(j) = -24*j - 285. Calculate the smallest common multiple of (-1 + 0 + 5)/1 and n(-12).
12
Calculate the common denominator of 12*(-15)/(-200) - 8 and 64/75.
150
Let q be (-45)/70*(-8)/6*-7. Let j(p) = -5*p - 20. What is the smallest common multiple of j(q) and 62?
310
Suppose v = 4*f - 2, f = 3*f. Suppose r - 21*r = -100. What is the least common multiple of r and v*(2 + (-15)/2)?
55
Suppose 3*i = 0, 7*w - 2*i + 18 = 4*w. Find the common denominator of -63/22 and 4848/640*(-4)/w.
220
Calculate the common denominator of 2/4*((-2520)/32)/(-7) and -43/10.
40
Let b(v) be the second derivative of -v**3/2 + 2*v**2 + 2*v. Let h be b(-4). Let i = h + -11. What is the lowest common multiple of 2 and i?
10
Let r = 4/569 - -49487/2276. Let q = 2448889/234 - 81141/13. Let g = -4227 + q. What is the common denominator of g and r?
36
Let j(t) = -t**2 - 