
24
Let c(x) = x**3 - 42*x**2 + 2*x - 64. Suppose -84 = -0*w - 3*w. What is the least common multiple of w and c(42)?
140
Find the common denominator of 145/24 and 22/(-16) - 0/12.
24
Suppose 11*y = 9*y + 36. Calculate the smallest common multiple of 7 and 3/(-2)*(-96)/y.
56
Suppose 4*b - 8*j - 94 = -13*j, 0 = 5*b - 4*j - 97. What is the least common multiple of b and 49?
147
Let h(c) = -74*c + 808. What is the lowest common multiple of h(10) and 306?
612
Let o = -21 + 24. Let n = -20 - -28. What is the lowest common multiple of n and o?
24
Suppose 0 = 4*b - 4*n + 19 - 103, 0 = -b - 5*n + 15. Suppose -4*i - 145 = -5*z + i, -86 = -3*z + 2*i. What is the smallest common multiple of b and z?
140
Suppose -5*i + 61 = -34. Suppose 2*l - 21 = i. Suppose 2*k = -0*k + l. Calculate the smallest common multiple of 10 and k.
10
Let h(g) = -g**2 - 15*g - 20. Suppose -3*r - 111 = -7*r + 3*m, -4*m = 4. Calculate the smallest common multiple of r and h(-10).
270
Let m(z) = 7*z - 6. Let p(g) = 20*g - 18. Let k(j) = -17*m(j) + 6*p(j). What is the lowest common multiple of k(7) and (-3)/(-3 + (-8)/(-3))?
9
Suppose -5*o - 3*h - h + 138 = 0, 3*o + 5*h = 88. Suppose 5*d - d = 2*m - 32, 0 = 4*m + 5*d - 77. Calculate the smallest common multiple of m and o.
234
Let k = 9 - 7. Let c be (-4)/(5 + -1)*-3. Suppose 42 + c = 5*p. What is the smallest common multiple of k and p?
18
What is the common denominator of (-31)/18 + (-64)/(-32) and -15/8?
72
Suppose 11*i - 82 = -346. Calculate the common denominator of 2 + (-5 - (-292)/i) and -47/23.
138
Let w be (10/(-2 - -7))/((-1)/2). Let n(c) = -c**3 - 5*c**2 - 9*c - 6. What is the least common multiple of n(w) and 2?
14
Let q(v) = 2*v**3 - 13*v**2 + v - 54. Suppose 5*i - 252 = -12. What is the lowest common multiple of i and q(7)?
48
Let a = 3499 + -20941/6. What is the common denominator of -39/190 and a?
570
Let f(a) = -a**3 - 6*a**2 + 23*a. What is the lowest common multiple of f(-9) and 45?
180
Let j be 0 + 582/(-16)*2. Let w = 4451/116 + -7/58. Let b = w + j. What is the common denominator of 123/10 and b?
10
Let c(d) = -d + 10*d + 0*d**2 - d**2 + 3 + 3*d**2. What is the smallest common multiple of c(-5) and 10?
40
Let y = 263 + -241. What is the lowest common multiple of y and 248?
2728
Let w = 139/1813 + -195201/725200. Find the common denominator of w and -63/8.
400
Let b = 584/13 + -4423/130. Calculate the common denominator of b and 57/5.
10
Suppose -168*l = -175*l + 189. Calculate the least common multiple of 18 and l.
54
Let w be (-4)/14 - 14914/(-14). Let n = w - 189. Calculate the common denominator of 25/4 and (n/(-24))/(2*-5).
20
Suppose x + 3*t - 55 = 0, x - 2*t - 70 = -0*t. What is the smallest common multiple of 32 and x?
64
Let f(g) = g**3 - 6*g**3 + g + 5*g**3 + 7 - g**3. Let p = -1 - -1. Calculate the smallest common multiple of f(p) and 11.
77
Let n = 3242/5 + -657. Let s = -31498927/60785 - -28/12157. Let f = -527 - s. Find the common denominator of n and f.
5
Let p = 12 + -20. What is the common denominator of (-339)/(-72) - (-7)/((-84)/p) and -31/4?
8
Let c = 4933 - 39533/8. Let s = 12019 - 276490/23. What is the common denominator of c and s?
184
Find the common denominator of -1 + 0 + 2715/2160 and 46/21.
1008
What is the smallest common multiple of -11*14/(-1078) + 488/14 and 35?
35
Suppose 0 = -12*w + 33 + 15. What is the smallest common multiple of 40 and w?
40
Let a = -44 + 20. Calculate the common denominator of 59/42 and (-44)/10 + (-12)/a.
210
Let j = 2309 + -23017/10. Suppose -4*v - 578 = -3*y + y, -3*y = -5*v - 863. Let z = 1691/6 - y. Find the common denominator of z and j.
30
Let s = 70827/13 - 5452. What is the common denominator of 17/19 and s?
247
Let o be (-1 + (-18)/(-10))*5. What is the common denominator of o/(-10) + (-89)/(-60) and 231/294 - 6/21?
12
Find the common denominator of 95/84 and ((-504)/(-64) + -8)*(-10)/56.
672
Suppose 0 = -4*h + 20 - 4. Let a(o) = o**3 + o**2 + 2*o + 35. Let d be a(0). Let y = 36 - d. Calculate the smallest common multiple of y and h.
4
Let d be 278/(-14) - 8/56. Find the common denominator of 293/d + (-18)/30 and 143/12.
12
Let m = 39/95 - -15/19. Let y = 1362/11 - 37082/297. Find the common denominator of y and m.
135
Suppose -84 = -8*d - 4. Calculate the least common multiple of 612 and d.
3060
Let o = -569/2 - -283. Let q be (-10)/205*(-18)/8. Let f = -557/902 - q. Find the common denominator of f and o.
22
Suppose 6 + 0 = 3*r, 2*r - 10 = -3*h. Suppose 2*d - 32 = -h*n, 2*n + 16 = d - 0*d. What is the least common multiple of (36/10)/(12/40) and d?
48
Let b = 830 + -1699/2. Find the common denominator of (-194)/3*2/(-8) and b.
6
Let d(t) = -15*t + 3. Let a(v) = -2*v**3 - 7*v**2 - 9*v - 12. What is the lowest common multiple of a(-3) and d(-5)?
78
Let r be 48177/(-6)*1/3. Let v = 2626 + r. Let k = -8299/4 + 2086. Calculate the common denominator of v and k.
4
Find the common denominator of -1*((-1036)/1710 + 26/(-247)) and 47/10.
90
Let i = -45 - -1. Let q be 9*(764/i + -1). Let h = -9599/66 - q. Calculate the common denominator of h and 29/20.
60
Let n = -7 + 22. Let b = 4563/10 + -461. Calculate the common denominator of b and 100/n*5/24.
90
Let s be (-6)/3*(-6 + 4). Let f be 27/36*s/1. Suppose -8*c + 250 = -f*c. What is the common denominator of c and 39/5?
5
Suppose 23*g - 1254 = 20*g. Calculate the common denominator of 4/22 - 21185/g and 33/8.
8
Let n = 11 + -5. Let t(o) = 3*o**2 + 3*o - 1. Let l be t(3). Suppose -p - 2*p - l = -4*s, 35 = 3*s - 4*p. What is the least common multiple of s and n?
30
Let w = -7754 - -7761. What is the least common multiple of 3/2*(-14)/(-3) and w?
7
Let o(t) = t**2 - 18*t + 19. Let w be o(17). Suppose -3*v - 4*f + 0*f = -34, 0 = -w*v + f + 41. What is the smallest common multiple of 21 and v?
126
Suppose -5*b = -0*h - 5*h + 65, -3*h + 44 = 2*b. Let q = -47 - -57. Calculate the least common multiple of h and q.
70
Let w = 51313/9 - 5695. Let r = -6552 - -11405. Let v = -38877/8 + r. Find the common denominator of v and w.
72
Suppose 2*j = t - 249 - 206, j = -3*t - 217. What is the common denominator of 6*(-4 + j/(-40)) and 87/10?
10
Let s = 25 + -19. What is the least common multiple of s and 15 + (-1 - -3) + 24/(-8)?
42
Suppose 2*x = -3*g + 4*x + 68, x + 67 = 3*g. Calculate the lowest common multiple of 98 and g.
1078
Let h be -2 + (-6)/2*-11. Let v = h - 47. Let f = -3 - v. Calculate the smallest common multiple of 3 and f.
39
Let m = 91 + -167. Calculate the common denominator of -30 and -27 - -25 - (0 + m/22).
11
Suppose 5*m + 3*f = 2*f - 10578, 0 = 4*m + 4*f + 8472. Let k = -50663/24 - m. What is the common denominator of k and -119/18?
72
Let b(k) = k**2 - 3*k + 2. Let o be b(1). Suppose 2*n - 4*n + 14 = o. Let r = n - -4. Calculate the lowest common multiple of r and 15.
165
Let g = -27/10 + -37/15. What is the common denominator of (27/29)/(-2 - 2) and g?
348
Suppose -2*r = -0*r - 40. Let m be 5*((-34)/5 - -4). What is the common denominator of (r/25)/(4/m) and -41/8?
40
Suppose 0 = -5*o + 4*u + 26, -5*u - 8 = 5*o + 2. Let c = 11 - o. What is the lowest common multiple of c and 9?
9
Let q = -1139/6984 + 1/97. What is the common denominator of 27/32 and q?
288
Let u = 17 + 5. Calculate the common denominator of 51/20 and (-9)/24*u + 4/(-2).
20
What is the common denominator of (-237)/(-18) - (-1 + -1) and -119/18?
18
What is the common denominator of (-6)/(-40)*(-10 - 2200/(-576)) and -99/40?
480
Let s = -3341 - -36700/11. Let k(i) = -i**2 + 6*i - 2. Let h be k(8). Find the common denominator of s and ((-15)/h)/((-1)/19).
66
Suppose 0 = 5*t - j - 135 - 45, -t + 50 = -3*j. What is the lowest common multiple of 40 and t?
280
Suppose 4*s + 3*s = 56. Calculate the lowest common multiple of 64 and s.
64
Let p = 1782 + -14233/8. Calculate the common denominator of p and (-193)/(-66) + 1/6.
88
Let n(p) be the third derivative of -p**4/24 + 3*p**3 + 3*p**2. What is the smallest common multiple of -2 + -1 + 6 - -2 and n(7)?
55
Let y = 5/69236 + -453911251/484652. Let g = 932 + y. Find the common denominator of 29/9 and g.
63
Suppose -4*m = u + 12, -3*u - 2*m + 0 + 4 = 0. Find the common denominator of -7 + 9 + -59*u/42 and -10/21.
21
Suppose n - 5868 = -n + f, -2*f = 4*n - 11752. Let k be 4/(-6) + n/12. Calcu