first derivative of -a**4/4 - a**3/3 + 4*a - 1. Let i be l(-3). Let v = 34 - i. Calculate the lowest common multiple of v and 16.
48
Let x be (-3)/(6125/(-3060) + 2). What is the common denominator of x/(-420) - 1/5 and -50/9?
63
Let o = 243/5 + -105/2. What is the common denominator of o and -1 - (0 + 102/(-16))?
40
Suppose -10 = -5*p - 0*p. Let v = 262 - 228. What is the lowest common multiple of v and p?
34
Let d be -4 + (-1)/((-20)/(-53875)). Let x = d + 2723. What is the common denominator of x and -21/10?
20
Suppose r = -r - 140. Let f be (-20)/r + 27102/7. Let t = f - 34781/9. What is the common denominator of 29/4 and t?
36
What is the common denominator of (-694)/160 - 2/(-5) and (-165 + -13)/(1*-24)?
48
Let g = -29 + 32. Suppose 0 = 7*u - 73 + g. Calculate the lowest common multiple of u and 16.
80
Let t = -5653 + 5656. Let b(c) be the second derivative of 11*c**4/12 - c**2/2 + c. What is the lowest common multiple of t and b(1)?
30
What is the lowest common multiple of 2 and 166/(-415) + (-72)/(-5)?
14
Suppose 0*j - 48 = -3*g - j, 2*g - 32 = 4*j. What is the smallest common multiple of g and 20?
80
Let l = 586/25 - 13456/525. What is the common denominator of -19/3 and l?
21
Suppose -93 = -4*j + 83. Let w(p) = p**2 + p + 2. Calculate the smallest common multiple of w(5) and j.
352
Suppose 0 = u + 3*m - 121, 16*u + m + 363 = 19*u. What is the least common multiple of 77 and u?
847
Suppose -51 = -3*k + 5*f - 19, 2*k - 4*f = 22. Suppose k*u = u + 216. What is the lowest common multiple of 21 and u?
189
Let i(v) = 4269*v - 18. Let j be i(-3). Let y = j + 654122/51. Find the common denominator of 71/42 and y.
714
Let c = -5 + 9. Suppose -v = 2*q - 39, -5*q + 3*v = -0*v - 114. What is the smallest common multiple of 80/(-6)*q/(-14) and c?
20
Let z(j) = j**2 + 2*j + 1. Let h(o) = 11*o**2 - 1. Calculate the lowest common multiple of h(1) and z(-3).
20
Suppose -35*n + 58*n - 115 = 0. Calculate the lowest common multiple of 5 and n.
5
Suppose -4*s - 5*i + i = -4, 2*s - 8 = i. Let g = 18 - s. Find the common denominator of 8/(-20)*(-530)/(-16) and g.
4
Find the common denominator of 45/266 and -5 - (-305)/(-300)*5.
1596
Let i(n) be the second derivative of n**4/12 - 2*n**3/3 - n**2/2 - 5*n - 3. What is the smallest common multiple of i(-3) and 24?
120
Let p = -218 + 209. Suppose -n - 27 - 62 = -4*h, 5*n + 100 = 5*h. Let c = h + p. What is the least common multiple of c and 1?
14
Let l = -3917109/88 + 44512. Calculate the common denominator of 83/56 and l.
616
Let v = 13/512 + -15707/3584. Find the common denominator of 45/11 and v.
154
Let b = 1427 - 2526. Let y = -19795/18 - b. Calculate the common denominator of y and 19/24.
72
Let g(o) = -8*o**3 + 3*o**2 - 4*o + 4. Let v be g(2). Let w = v + 58. Calculate the smallest common multiple of 8 and w.
8
Let u = 489169/406650 + -26/2711. Calculate the common denominator of -7/30 and u.
150
Suppose h + 30 = 3*h + 5*o, -4*o = -3*h - 1. Suppose -2*i - 30 + 44 = 0. Let t = i + h. What is the lowest common multiple of 12 and t?
12
Let s(k) = 6*k**2 - 112*k + 7. What is the smallest common multiple of 135 and s(19)?
135
Let f = -5513864323/5541970 - -2/395855. Let j = f - -993. Find the common denominator of j and 27/20.
140
Let p = 93 - 168. Let z = -72 - p. Suppose -4*t + t + 9 = 0. What is the least common multiple of z and t?
3
Let z(c) = c**2 - 2*c. Let l be z(0). Suppose l = -5*u - 20, 4*i - 161 = 5*u - 33. What is the lowest common multiple of i and 5?
135
Let k = -6301/20 + 1263/4. Let a = 2713/168 - 27/56. Find the common denominator of k and a.
30
Let d = -4 + 6. Suppose -5*h = 15, 5*h = -3*s - d + 47. Suppose y + 3*y = s. What is the smallest common multiple of 8 and y?
40
Suppose z - y = 4, 28*y + 8 = 2*z + 23*y. What is the least common multiple of ((-4)/6)/(2/(-3)) and z?
4
Suppose 0 = -m - 4*k + 24, 5*m = -12*k + 14*k + 32. Calculate the smallest common multiple of m and 436.
872
Let j = 60375/8 - 7558. Find the common denominator of j and -73/128.
128
Let x = 4 - -3. Suppose 0 = -6*k + 11 + x. What is the smallest common multiple of k and 9?
9
Suppose -4*y - 104 + 108 = 0. What is the common denominator of -3 + 2/y + 160/(-44) and 3/(48/10)*-15?
88
Suppose 8*w + 233 + 151 = 0. Let j = 68 + w. Let s = 8 - 6. Calculate the lowest common multiple of s and j.
20
Let f = -45643/29232 + -2/1827. Calculate the common denominator of 114/16 + 6/12 and f.
16
Let o = -1903 - -30395/16. Let n = 541145/6 - 93183. Let y = 2978 + n. Calculate the common denominator of y and o.
48
Let h(g) = g**3 - 17*g**2 + 12*g - 123. Calculate the lowest common multiple of 171 and h(17).
1539
Let q(r) = -6*r + 5. Let j be q(1). Find the common denominator of 5/3 and 180/35 + 0*(0 + j).
21
Let n = -45 + 46. What is the smallest common multiple of n*4/10*-1*-20 and 18?
72
Let u be ((-3)/(-9)*3)/1. Let s be (582/(-12))/(u/(-6)). Find the common denominator of s/(-8)*(-8)/36 and 73/4.
12
Let k = -395 + 433. Calculate the lowest common multiple of k and 247.
494
Let f be -4 - -1 - (-59555)/350. Let m = f - 794/5. What is the common denominator of -3/10 and m?
70
Let k be 4/(8/(-714)) - -2. Calculate the common denominator of 2/10*-3*k/66 and -53/14.
154
Let y = -37 + 29. Find the common denominator of (-5 - y)*((-381)/162 - 0) and 53/82.
738
Suppose -4*s - 2*r = -410, 0*r = 3*r - 3. What is the lowest common multiple of 24 and s?
408
Let a = 35012/17 + -2061. Calculate the common denominator of 2/4 + 655/(-50) and a.
85
Let p be (-128)/(-18) - 9/81. Suppose -3*b + 2*h + p = -0*h, 8 = 4*b - 2*h. Calculate the lowest common multiple of 1 and b.
1
Let g = 8 - -5. Find the common denominator of (16/40)/((-4)/g) and -83/14.
70
Suppose -10*h + 414 = -h. What is the least common multiple of h and 12?
276
Let b = 3894 - 85689/22. Find the common denominator of b and 3910/(-680)*2/3.
66
Let h = -3/799 + -32669/23970. Calculate the common denominator of h and (-329)/63 - (-13)/39.
90
Let r = 3 + 12. Suppose 25*t - 267 = 33. What is the least common multiple of t and r?
60
Suppose 1 = 2*a - 41. Suppose 9*g = 4*g + 60. What is the least common multiple of g and (a/(-2))/((-3)/4)?
84
Suppose -4*v - 21415 + 5695 = 0. Calculate the common denominator of (-4)/(-8) + (-124)/(-48) and ((-3)/(-10))/((-108)/v).
12
Suppose -5*j + 2*d - 254 = -9*j, -5*j - 2*d = -317. What is the least common multiple of 63 and j?
63
Let q = -15981943/5 - -48068762/15. Let n = q + -8200. Calculate the common denominator of n and -59/3.
15
Let p(x) = x**2 + 35*x - 101. Let i be ((-3)/(-6))/(1/2). Let v = 2 - i. Calculate the smallest common multiple of v and p(-38).
13
Calculate the common denominator of (1/7)/(182/(-962)) and 36/119.
833
Suppose -c - 17 = -l, 0*c + 12 = 4*c. Suppose -l = -0*f - 2*f. Let b(q) = 3*q**2 + 17*q - 47. What is the least common multiple of f and b(-8)?
90
What is the common denominator of -20/27 and (2 + 104/(-54))/(26/637)?
27
Let o be (31127 - -2)/(-1 - 10). Let l = 2827 + o. Find the common denominator of (-4)/18 - 10963/684 and l.
44
Let w(u) be the third derivative of u**4/12 - 12*u**2. Suppose 5*d = 5, -4*k - 3*d = -4*d - 71. Calculate the least common multiple of k and w(2).
36
Suppose -2*c - 70 = -2*w, -5*c + 5 = 42*w - 41*w. What is the least common multiple of 84 and w?
420
Let g = -3993 - -55833/14. Calculate the common denominator of -37/8 and g.
56
Let o(k) = 19*k + 54. Calculate the smallest common multiple of o(-2) and 4.
16
Suppose 0*t = -2*t. Suppose -3*y + 2 + 7 = t. Calculate the smallest common multiple of ((-1)/y)/(11/(-198)) and 11.
66
Let l = -62 - -80. Calculate the least common multiple of l and 9.
18
Let z = 712 - 358. Calculate the lowest common multiple of 6 and z.
354
Let n be 4/(-202)*51/12. Let h = -7843/1616 + n. Calculate the common denominator of h and -11/4.
16
Let b = 6659 - 1251885/188. What is the common denominator of b and -15/8?
376
Suppose -5*u - 33 = -s, 0*s + 3*s - 34 = 2*u. Calculate the smallest common multiple of s and 156.
312
Suppose 5*g = -3*x + 5*x + 48, 3*g + 4*x - 34 = 0. Let y be 4/g - 576/740. Let p = y + -2497/148. Find the common denominator of -25/7 and p.
28
Let w(m) = m - 6. Let k be w(13). Find the common denominator of -49/3 and k/(-28)*(1 + -52).
12
Let f = -5685 - -4