n, -12*n = -2*o - 11*n - 3. Calculate the least common multiple of o and 78.
78
What is the lowest common multiple of 90 and (-6 - (-56)/6)*30/4?
450
Let o(n) = -3*n**3 - n - 1. Suppose 0 = -2*h + 4*f + 2, 3*h - f + 3*f = -5. Calculate the least common multiple of 12/2 + 120/24 and o(h).
33
Suppose 5*i - 13 = 2*g, -3*g - 4 = 8. Suppose 3*t - i = t - 3*u, -2*t = -4*u - 8. Find the common denominator of -59/6 and ((-1530)/(-560))/(3/t).
84
Let c = 642 + -366. Suppose 0 = 4*v + 60 - c. Calculate the smallest common multiple of ((-8)/18)/((-12)/v) and 7.
14
Let d(j) = -j**2 + 16*j - 50. Calculate the smallest common multiple of d(6) and 37.
370
Let u(n) = 2*n**2 + 8*n + 4. Let x be u(-3). Let b = x - -19. Suppose -2*z + 3*z = -q + 1, 2*z = -q - 2. Calculate the smallest common multiple of q and b.
68
Let i be 6858269/(-569140) - (-1)/(-4). Let d = 126487/99198515 - 8/7669. Let k = i + d. What is the common denominator of k and 19/16?
80
Let h = -7 + 10. Suppose h*l - 5*n = l + 55, 74 = 4*l + 2*n. What is the common denominator of (192/30)/((-6)/l) and -47/9?
9
Let f = -50 + 53. What is the smallest common multiple of f and 406?
1218
Suppose 0*r - 12 = -2*m - 2*r, r - 27 = -4*m. Suppose -71 - m = -3*c. Let t = -14 - -20. What is the smallest common multiple of c and t?
78
Let o(y) = 6*y + 313. Calculate the lowest common multiple of 35 and o(-52).
35
Let y = -17031 + 30329. Let k = y - 319087/24. Calculate the common denominator of 56/3 and k.
24
Let v(m) = m**2 - 21*m + 58. What is the lowest common multiple of v(18) and 10?
20
Let u(c) = -46*c**2 + c. Let y be u(2). Let v be 3/9 + y/(-3). Suppose -v = -2*z - 17. Calculate the lowest common multiple of z and 20.
220
Suppose 3*b - 2*r - 42 = 0, -3*r + 9 = 2*b + 2*r. Suppose x - 3*x = -b. Calculate the smallest common multiple of 12 and (-7)/(-1)*x/21.
12
Suppose 5*i + 110 = 2*m - 164, -654 = -5*m - 3*i. What is the common denominator of -65/4 and (-12)/(-66) + ((-4335)/m)/(-5)?
4
Let j = -13943/131147 - -40/313. Let s = j - 30713/5866. Calculate the common denominator of s and ((-15)/(-10))/(24/(-46)).
56
Let t be (20/(-15))/(1/(-6)). Let n = 1307 - 13083/10. Calculate the common denominator of n and 2/t - (-812)/(-16).
10
Suppose -h - h = -6. Let c = -110 + 117. Suppose 2*w = l - 3*w - c, 0 = -l - 2*w + 7. Calculate the smallest common multiple of h and l.
21
Suppose -5*s + 13 = -w, 5*w - 18 = 5*s + 17. Suppose -4*h = 21 - 141. Calculate the least common multiple of w and h.
60
Let c = -2820271/150 - -18802. Calculate the common denominator of -101/195 and c.
1950
Let b be (-21)/7*4/(-6). Calculate the smallest common multiple of 8 and (-1)/(b - 22/10).
40
Let y = 2053/3 - 34910/51. Find the common denominator of 69/22 + 2/4 and y.
187
Suppose 4*d - 424 = 2*d. Let g(b) = -2*b**3 + 10*b**2 - 2. Let w be g(5). Calculate the common denominator of ((-1)/((-16)/d))/w and -41/3.
24
Suppose -j + 102 = -2*g, -j = -g + 2*g - 93. Suppose -14 = -4*x + 5*m + j, 4*m - 98 = -3*x. Calculate the smallest common multiple of 9 and x.
90
Let v be (18/27)/((-1)/(-3)). Suppose -5*b + 108 = -v. What is the common denominator of 52/9 and 1/b*(-1106)/14?
198
Let a be ((-3)/(-4890))/(18/130412). Let f = 1/2445 - a. Calculate the common denominator of 59/21 and f.
63
Let q(d) = -d**2 - 8*d - 5. Let r be q(-7). Suppose -2*v = r*v + 5*k - 161, v = k + 47. What is the lowest common multiple of 20 and v?
220
Let h = 10 + -9. Suppose h - 9 = -4*i. Suppose -i*k + 0*k = -12. What is the least common multiple of 4 and k?
12
Suppose 11 + 17 = 2*a - 2*o, 0 = -2*o - 10. Let p(i) = i**3 - 19*i**2 + 17*i + 19. What is the least common multiple of p(18) and a?
9
Let k = -10326/3047 + 7/277. What is the common denominator of -48/2051 and k?
22561
What is the common denominator of -61/44 and (-3 + 6/24)*9/6?
88
Suppose 3*f - 86 = -4*b, 0 = 3*f - 2*b - 112 + 20. Calculate the smallest common multiple of f and 2*2/(-4) + 4.
30
Let z be 1110/(-220)*328/(-3). Let x = -549 + z. Find the common denominator of 10/(-35) - (-64)/77 and x.
11
Let k be 3*(-12)/27 - (-4)/12. What is the least common multiple of 2 and (-2)/(-2) - (-1 + k/(-1))?
2
Let c(j) be the third derivative of -j**6/120 + j**5/5 - j**4/2 + 23*j**3/6 - 21*j**2. Find the common denominator of 97/10 and c(11).
10
Suppose 22*b + 680 = 39*b. Let p(s) = -s**3 + 7*s**2 + 6*s + 2. Calculate the lowest common multiple of p(7) and b.
440
What is the common denominator of (-96)/432*(-165)/288 and -13/54?
432
Find the common denominator of 1457/282 + 5 + -1 and (-1)/4 - 17/16.
48
Let j = 38/15 + -19/3. Calculate the common denominator of 77/46 and j.
230
Find the common denominator of (1 + 51/(-54))*(25 - -422) and 89/420.
420
Calculate the common denominator of 41/6 and 3/(12/17)*(-5)/(-15).
12
Suppose -2 = 2*x + 3*f - 102, -5*x = -4*f - 296. Calculate the smallest common multiple of x and 77.
616
Let u = 635/2 + -3823/12. Let b = 101 + -613/6. Find the common denominator of b and u.
12
Let n be (3/(-12))/(6/(-48)). Let i be ((-120)/(-50))/(n/25). Suppose 4*j - i = j. What is the lowest common multiple of 14 and j?
70
Let b(u) = -62*u. Let h be b(5). Find the common denominator of 43/12 and h/(-6)*18/45.
12
Let y(d) = d**3 - 2*d**2 - d + 1. Let s be y(2). Calculate the lowest common multiple of 1 - (s - 30*8/6) and 11.
462
Suppose -2*w - 3*w + 310 = 0. Calculate the least common multiple of 14 and w.
434
Let n = 56727/27950 - -17/559. Find the common denominator of 214/(-24) + 1 + 0 and n.
300
Suppose 0 = -4*k + 5*r + 53, 6*k - 2*r - 24 = 4*k. Calculate the lowest common multiple of 197 and k.
1379
Let s(p) = p**3 - 8*p**2 + 3*p - 8. Let k = 70 + -26. Calculate the least common multiple of s(8) and k.
176
Suppose 0 = -2*h - 25 + 69. Suppose -18 = -6*v + 54. Suppose 23*o - 20*o - v = 0. What is the least common multiple of o and h?
44
Let i = 4 - 2. Suppose 21 = -0*y + i*y - 3*p, 3 = -p. What is the least common multiple of y and 5?
30
Suppose -3 - 17 = -4*a. Calculate the least common multiple of 30 and -54*a/((-45)/3).
90
Let c(n) = -n**2 + 3*n + 1. Let s be c(2). Suppose s*f = -2*f + 5*p + 45, 15 = -3*p. Calculate the least common multiple of 2 and f.
4
Let y = 150 + -84. Calculate the lowest common multiple of 36 and y.
396
Suppose -2*q - 3*q = -295. Let a = q - 49. Calculate the lowest common multiple of a and 18.
90
Find the common denominator of 39/8 and -1 + 8 - -19287*(-11)/30492.
616
Let a = 4 - 6. Find the common denominator of 174/4 - 0 - a and -94*(81/(-40) + 2).
20
Suppose 7*b = 2*b + 50. Let v(c) = 18*c - 648. What is the lowest common multiple of v(37) and (-60)/14*(3 - b)?
90
Let y = 6504055 + -1190245609/183. Let a = y + 2/61. Let u = 8499 + -68079/8. Calculate the common denominator of u and a.
24
Suppose -55*q + 717 = 57. Calculate the least common multiple of 22 + (1 - 2) + 1 and q.
132
Let q = -135/8 - -169/10. Calculate the common denominator of q and 35/24.
120
Suppose x + 80 = 4*c - 162, c + 5*x = 50. Let u(z) = 5*z + 7. What is the smallest common multiple of u(3) and c?
660
Let b = 4 - -1. Suppose u + 32 = b*t + 2*u, u - 11 = -2*t. Let o(w) = -w - 2. Calculate the smallest common multiple of t and o(-5).
21
Let i(d) = d**2 + d + 2. Let k be i(-1). Calculate the lowest common multiple of 12 and -2 + k - (-2 + -4).
12
Let o(f) = -f**3 + 14*f**2 - 4*f + 10. Let i be o(14). What is the common denominator of 39/13 + i/24 and 95/24?
24
Suppose m - 1 = 1. Find the common denominator of -43/4 and 58/20 + m - (-3)/(-2).
20
Suppose 12*p = 3*b + 13*p - 35, 20 = 3*b - 2*p. What is the smallest common multiple of b and 80?
80
Let k = -49795/6 - -8282. Find the common denominator of k and 70/36 - (-4)/(-2).
18
Let f be -3 + (-324282)/(-41) - 1. Let v = f - 7906. Let d = v + -296/287. Find the common denominator of d and -49/9.
63
Let v = 3335/2 + -1641. What is the common denominator of -47/378 and v?
378
Find the common denominator of -38/15 and 1 + -2 + 1 + (-17)/50.
150
Calculate the common denominator of -31/105 and 7/(-14)*4 - 149/(-120).
840
Suppose -6*w - 120 = -21*w. Calculate the least common multiple of 4 and w.
8
Let y(b) be the first derivative of -b**4/4 + 5*b**3/3 + 9*b**2/2 - 6*b - 3. Let i be y(6). What is the common denominator of ((-7)/(-6))/(32/i) and 77/