
Let h(p) = p**3 - 4*p**2 + 5*p + 4. Suppose n + 2*a - 12 = 19, a = -2*n + 47. Calculate the lowest common multiple of n and h(4).
168
Let m(q) = -q**2 + 40*q - 381. Calculate the least common multiple of m(18) and 450.
450
What is the common denominator of 31/57 and 96/36*(-23)/(-10)?
285
Suppose 0 = -m + 4 - 2. What is the least common multiple of 133/12 + 1/(-12) and m?
22
Let u(p) = p**3 + 5*p**2 - 12*p - 2. Calculate the smallest common multiple of u(2) and 133.
266
Suppose -486 = -2*c + w, 3*c - 6*w - 729 = -10*w. What is the lowest common multiple of 8 and c?
1944
Let t be 8/112404*(3 + 0). Let m = -219388027301534645/28773006004643272 - 2/383967732527. Let k = m - t. Calculate the common denominator of k and 31/22.
88
Let f = 2/27 - -887/54. What is the common denominator of f and -61/26?
26
Let q = 3/2 - 25. Let k = -249 + 551/2. Find the common denominator of q and k.
2
Let c = -5507 + 66041/12. What is the common denominator of 6/(-36)*3 - 27/(-5) and c?
60
Let l(o) = -3*o**2 + o + 4. Let b be l(7). Let t = b + 579. Let j = t + -2167/5. Calculate the common denominator of j and 40/3.
15
Let r(v) be the third derivative of 19*v**5/60 + v**4/8 - v**3/3 - 4*v**2. Calculate the smallest common multiple of r(1) and 18.
180
Suppose 3*g - 191 = 5*m, -112 = 4*g + 5*m - 355. Calculate the lowest common multiple of 12 and 21/(-7) - (1 - g).
348
Suppose 0 = -5*s - 5*g - 13 + 83, -29 = -2*s - g. What is the lowest common multiple of s and 57?
285
Suppose -10*g + 9*g + 12 = -4*r, -36 = -2*g - 4*r. Suppose 0 = -4*j + 3*i + 215, -5*j + 28 + 267 = 5*i. Calculate the smallest common multiple of j and g.
112
Let i = -2589 + 2649. Calculate the least common multiple of 735 and i.
2940
Suppose -5*i - 2 = 13. Let r(c) = -c**3 - c**2 + 2*c + 4. Suppose 4*j = 6*j - y - 9, 3*j + y - 1 = 0. What is the least common multiple of j and r(i)?
16
Let a = -2 - -1. Let y be 546/56 + a/(-4). Calculate the common denominator of (1 - 2) + (-98)/y and -29/8.
40
Let y = -2188/3 + 747. Find the common denominator of y and 11/8.
24
Let y = -421/16 + 13445/528. Let i = -7369/6 + 1217. Find the common denominator of i and y.
66
Find the common denominator of ((-2)/(-3))/(2*10/(-219)) and -101/142.
710
Let d = 3/2483 + 166151/173810. Find the common denominator of 23/22 and d.
770
Let d = -67 - -73. What is the smallest common multiple of d and 36?
36
Let y(x) = x**3 + 14*x**2 + 18. Let q be y(-14). Let z = -13 + q. Calculate the smallest common multiple of z and 54.
270
Let m be (1 - (-12)/3) + 1. What is the least common multiple of 6 and 4/m + -1 + (-280)/(-30)?
18
Suppose -56 = 2*t - 4*t. Suppose 2*q = l - 106 + t, -4*l + 286 = 5*q. What is the least common multiple of l and 22?
814
Suppose -8*q - 600 = -3*q. Find the common denominator of 458/q + 2/3 and -93/64.
320
Let m = 620 - 612. Suppose -3*u + 0*u + 84 = 0. Calculate the lowest common multiple of m and u.
56
Let l be 2/4 - (2247/2 - -3). Let s = l + 3349/3. What is the common denominator of 71/21 and s?
21
Let w(o) = o**3 - 16*o**2 + 19*o - 40. Calculate the smallest common multiple of w(15) and 36/2*(0 - -1).
180
Find the common denominator of 3/2 and (-4)/(24/(-227)) - (-1)/(-3).
2
Let i(s) = s**2 + 12*s + 23. Suppose 4*z = -r + 31, -7 = -z + 4*r + 22. Calculate the smallest common multiple of z and i(-10).
9
Suppose -g = -13 + 5. Suppose 3*m - 26 = -g. Calculate the lowest common multiple of m and 6.
6
Let c = -1244 - -6243/5. Find the common denominator of ((-3 + 8)*10)/(-13) and c.
65
Suppose -3*b = y - 34, -2*b - 63 = -3*y - 5. Calculate the least common multiple of 19 and y.
418
Let n = -55513507/282 + 196856. What is the common denominator of -1/2 and n?
282
Suppose 0 = 3*i - 5*g - 4, -i = -2*i + 3*g. Suppose 0 = -b + 5*w - 4, -i*b = w - 36. What is the smallest common multiple of b and 3?
33
Let l be (2/6)/(24/(-9576)). Find the common denominator of 40/7 and (-3)/(-6) + -2 + l/(-10).
35
Let u = 340477/20 - 17020. Let l = -361905507 - -1413602892545/3906. Let w = l + -36/217. What is the common denominator of w and u?
180
Let v = 5605 - 112147/20. Let z be (-7716)/(-18)*(4 + -1). Let w = 12739/10 - z. What is the common denominator of v and w?
20
Let m(a) = 56*a**2 + 3*a + 4. Let c be m(11). Suppose 3*g + c = -7494. Let b = g + 47633/10. What is the common denominator of 89/4 and b?
20
Let p = -506 - -5113/10. Find the common denominator of -57/46 and p.
230
Suppose 5 = -r, 0*j - 111 = 2*j - r. Let c = -525 + 1049/2. What is the common denominator of c and (-9 + 0)*j/(-48)?
8
Let p be (-6)/21 - (-485)/7. Suppose -5*n - 3*z + p = -2*n, 2*n - z - 31 = 0. Calculate the smallest common multiple of 10 and n.
90
Let s = -2101 + 2211. Calculate the smallest common multiple of 209 and s.
2090
Let x = 1/975 + 6433/1950. Calculate the common denominator of x and 1964/252 + 16/(-28).
90
Suppose 4*u - 52 + 28 = 0. Suppose -39 - u = -5*t. Calculate the lowest common multiple of t and 10.
90
Let a = -15 + 24. Let o(t) be the second derivative of t**4/12 - 5*t**3/3 + 6*t**2 - 6*t. Calculate the smallest common multiple of o(a) and 1.
3
Suppose 2*z = -4*p - 3*z + 22, 32 = 3*p - 4*z. Calculate the smallest common multiple of p and 16/24*-1*-24.
16
Suppose 0 = -4*x + 5*a - 2 - 7, -3*x + 2*a + 2 = 0. Suppose -3*k + x*l + 65 = 9, k + 13 = -5*l. What is the smallest common multiple of k and 20?
60
Suppose 5*t = 260 + 35. Suppose 6*b - 1 - t = 0. What is the smallest common multiple of 22 and b?
110
Let j be (2/4*-6)/(-1). Suppose -5*o + j*o + 198 = 0. Find the common denominator of -49/10 and 18/o - (-54)/44.
110
Suppose -4*j + 5 = -7, 2*r - 3*j + 3 = 0. Suppose 5*t + 2*z - 53 = 0, 5*z - 28 = -2*t - t. What is the lowest common multiple of r and t?
33
Let f = -33526 + 3754943/112. Let p = -1/16 + f. What is the common denominator of 127/6 and p?
42
Suppose -7 = -3*g + 2. Calculate the lowest common multiple of 39 and g.
39
Calculate the least common multiple of 5 - (0 + (-4)/1) and 9.
9
Let b = -86 + 98. Calculate the least common multiple of 2 and b.
12
Let i(q) = -q**2 + 2*q - 11. Let r be i(-6). Let x = r - -79. Suppose 0 = 3*u - 21 - 27. What is the lowest common multiple of u and x?
80
Suppose 0 = -g + 4*g - 102. Let u = g + -32. Suppose -5*c + 75 = -2*l - 3*l, 15 = u*c + l. What is the least common multiple of 8 and c?
40
Let h = -79 + 481/6. Find the common denominator of h and -65/21.
42
Let s = 193 + -181. What is the least common multiple of s and 616?
1848
Let l(j) = -j**3 + 8*j**2 - 5*j - 10. Let i be l(7). Suppose 0 = i*k - 255 - 1885. What is the common denominator of -61/4 and (2/(-10))/(18/k)?
36
Let i = -2191 - -8865/4. Find the common denominator of ((-20)/13)/(1/((-1)/(-3))) and i.
156
Let j be -335 + (-2 - 0) - -1. Calculate the common denominator of ((-2)/28)/(1/103) and -1 + 2 + (-1896)/j.
14
Suppose 0 = 3*n + 28 - 112. Calculate the smallest common multiple of n and (15/7)/5 - 77/(-49).
28
Let t = 1414652808 + -16028016302487/11330. Let i = 42536411/515 + -82595. Let o = i + t. Calculate the common denominator of 65/2 and o.
22
Let i = 187115/18 + -10398. What is the common denominator of i and -29/20?
180
Let i = 192 + -73. Suppose -4*l = 15 - i. Let a(h) = -20*h - 4. Calculate the lowest common multiple of a(-1) and l.
208
Let z be 0/(-1) + 2*1. Suppose 0*k = z*k - 12. Let u(c) = 2*c**3 + 12*c**2 + 3*c + 30. What is the smallest common multiple of k and u(-6)?
12
What is the common denominator of 13/336 and -9 - -4 - (-7455)/1764?
336
Let j be (-1)/9*(-6)/(-21495). Let r = 1328399/257940 + j. Calculate the common denominator of (-98)/24 + -1 + -3 + -1 and r.
60
What is the common denominator of (40/(-600))/(6/290) and -47/27?
27
Let f = 35/3 - 217/15. Let k = 103651147/3902718 - 11568/6079. Let z = -88/107 + k. Find the common denominator of z and f.
30
What is the common denominator of (3/(-21))/((-5)/(-265)) and -47/11?
77
Let x be -3 - 33/(-9) - 730. Let o = 708 + x. Let y = -1438 + 4361/3. Calculate the common denominator of o and y.
3
Let i(h) = 61*h**3 + 1. Let c be i(-1). Let b be (-1022901)/c - -2*1. Let a = -17045 + b. Find the common denominator of a and -93/8.
40
Calculate the common denominator of (-12)/30 - (-4644)/(-840) and 55/42.
42
Suppose 21 = a + 14. What is the lowest common 