) be the second derivative of o**7/2520 - 7*o**5/360 - o**4/12 - 29*o**3/2 - 2*o + 33. Let z(l) be the second derivative of j(l). Factor z(u).
(u - 3)*(u + 1)*(u + 2)/3
Let g = 229155/2 - 114577. Solve x - g*x**2 - 1/2 = 0.
1
Suppose 73*r = -55*r - 58*r + 2976. Find m, given that -r*m - 128 - 1/2*m**2 = 0.
-16
Let b = -13/17 + 227/119. Let k(g) = -2292*g + 13755. Let a be k(6). Find q, given that -4/7*q**2 - b*q**a + 4/7*q**4 + 2/7*q**5 + 6/7*q + 0 = 0.
-3, -1, 0, 1
Factor -13924*c**2 + 41781*c**2 - 13927*c**2 - 272 - 13926*c**2 + 268*c.
4*(c - 1)*(c + 68)
Let r(f) be the second derivative of 19*f + 1/3*f**4 - 2/45*f**6 + 1/30*f**5 - 7/9*f**3 - 3 + 2/3*f**2. What is s in r(s) = 0?
-2, 1/2, 1
Let s(l) be the first derivative of l**6/24 + 2*l**5/5 + 21*l**4/16 + 7*l**3/6 - 5*l**2/2 - 6*l - 517. Factor s(k).
(k - 1)*(k + 2)**3*(k + 3)/4
Let u(z) = z**2 + z. Let o(q) = -11*q**2 + 95*q - 1764. Let g(k) = -9*k**2 + 94*k - 1764. Let v(c) = 7*g(c) - 6*o(c). Let p(b) = 4*u(b) - v(b). Factor p(l).
(l - 42)**2
Let k = 240583/2 - 120290. Factor -33/2*c**3 + 36*c**2 + k*c**4 + 54*c + 0.
3*c*(c - 6)**2*(c + 1)/2
Factor -465*z**2 - 201348*z - 4*z**3 + 121*z**2 + 193952*z.
-4*z*(z + 43)**2
Let z be (216/12)/(-9) + (-115)/(-6). Let o = 52/3 - z. Determine j, given that 4/3 - o*j**3 + 2/3*j - 1/3*j**2 = 0.
-2, 2
Let k = 3/27794 + 6944/41691. What is g in 0 + 0*g - k*g**5 + 2/3*g**4 - 5/6*g**3 + 1/3*g**2 = 0?
0, 1, 2
Let v(x) be the second derivative of x**6/72 + x**5/24 - 13*x**3/3 + 12*x - 1. Let z(l) be the second derivative of v(l). Factor z(o).
5*o*(o + 1)
Let j be ((-186)/18)/(5 - (-155)/(-30)). Let r = -60 + j. Factor 0*u - 1/5*u**r + 2/5*u**3 - 1/5*u**4 + 0.
-u**2*(u - 1)**2/5
Suppose -5*r = -0*r - 20. Suppose -2*k = -k + 3, 6 = -2*m - r*k. Solve 5*a**3 - a**m - 4*a**2 - 4*a**2 + 4*a = 0.
0, 1
Let s(c) = -c**2 - 1008*c + 17428. Let u be s(17). Suppose -2*b**5 - 2/5*b**u + 34/5*b**2 - 34/5*b**4 + 12/5*b + 0 = 0. Calculate b.
-3, -1, -2/5, 0, 1
Let g(d) = -d**2 - 32*d - 260. Let l be g(-15). Let w(a) = 4*a**2 + 21*a + 7. Let p be w(l). What is y in 2/5*y - 8/5*y**p + 0 + 6/5*y**3 = 0?
0, 1/3, 1
Factor -15*m + 0 + 6*m**2 + 33/4*m**3 + 3/4*m**4.
3*m*(m - 1)*(m + 2)*(m + 10)/4
Let b be 11/4 + (-9*20/2160)/1. Suppose -b*k - 7/3 - 1/3*k**2 = 0. Calculate k.
-7, -1
Let y = -444771/5 + 88959. What is g in 126/5*g**3 - 24*g**4 - 162/5*g + y*g**5 + 108/5*g**2 + 0 = 0?
-1, 0, 3/2, 3
Let k(c) be the first derivative of c**6/75 + 2*c**5/25 + c**4/6 + 2*c**3/15 + 16*c + 2. Let x(i) be the first derivative of k(i). Determine j so that x(j) = 0.
-2, -1, 0
Let q(b) be the first derivative of -b**5/35 - 41*b**4/28 - 440*b**3/21 - 200*b**2/7 + 703. Determine i so that q(i) = 0.
-20, -1, 0
Let a(m) be the second derivative of -m**5/45 + 55*m**4/9 - 6050*m**3/9 - 149*m**2/2 - 120*m. Let i(d) be the first derivative of a(d). Factor i(b).
-4*(b - 55)**2/3
Let r = 14 + -14. Suppose -a + 119 + 61 = r. Determine b so that a - 3*b**4 + b + 6*b**3 - 177 - 7*b = 0.
-1, 1
Let d(n) be the third derivative of -n**5/60 - 233*n**4 - 1302936*n**3 - 9*n**2 + 10*n + 12. Factor d(z).
-(z + 2796)**2
Let b be (41 + -2)/((-3)/3*-1). Let b*h**4 + 3*h**2 - 5*h**3 + 8*h - 40*h**4 - 5*h**2 = 0. Calculate h.
-4, -2, 0, 1
Let s(t) = -t**2 + 17*t - 21. Let x be s(11). Let u = x - 45. Factor -w**3 + u*w**2 - 5 + 1 - 3*w + 3*w**2 + 5.
-(w - 1)**3
Let g(f) be the second derivative of -23*f**4/36 + f**3/18 + 11*f**2/3 - 3254*f. Determine t so that g(t) = 0.
-22/23, 1
Let f = 450 - 436. Let c(a) be the first derivative of 3*a - 2*a**2 + 1/3*a**3 - f. Factor c(q).
(q - 3)*(q - 1)
Suppose -507/4*u + 501/2 + 3/4*u**2 = 0. Calculate u.
2, 167
Let t = 101/50 + 312/25. Find j, given that 12 - t*j**3 + 17/3*j**2 + 86/3*j + 3/2*j**4 = 0.
-2/3, 2, 9
Let y(a) be the first derivative of -a**4/4 + 3*a**3 - 27*a**2/2 - 26*a + 186. Let v(r) be the first derivative of y(r). Factor v(s).
-3*(s - 3)**2
Let 1504/5 - 452*q + 6/5*q**2 = 0. What is q?
2/3, 376
Let v be 2/(240/(-4))*36/(-198)*11. Let m(x) be the second derivative of 0 + 0*x**2 + v*x**4 - 1/6*x**3 - 22*x. Factor m(l).
l*(4*l - 5)/5
Let d(u) = -77*u**2 - 505*u - 957. Let w(q) = -27*q**2 - 168*q - 318. Let i(z) = -6*d(z) + 17*w(z). Factor i(s).
3*(s + 2)*(s + 56)
Determine y so that 384*y + 5*y**4 - 368*y**2 - 64/3*y**3 + 1/3*y**5 + 0 = 0.
-12, 0, 1, 8
Let o be (2 - 4) + (0 - -3) + 1. Factor -3*r**2 + 90*r + 18*r**2 - 9*r**2 - 2025 - 7*r**o.
-(r - 45)**2
Let j(c) be the second derivative of 7*c**4/8 + 3813*c**3/4 - 1635*c**2/2 + c - 923. Factor j(h).
3*(h + 545)*(7*h - 2)/2
Let m(r) be the first derivative of -10*r**2 + 5/18*r**6 - 34 - 5/12*r**4 - 55/9*r**3 + r**5 - 20/3*r. Factor m(p).
5*(p - 2)*(p + 1)**3*(p + 2)/3
Let x be 40/45 - ((-10)/18)/(5/70). Solve -8*b + x - 2/3*b**2 = 0 for b.
-13, 1
Let r(z) be the third derivative of z**8/168 + z**7/420 - 197*z**6/60 - 197*z**5/120 + 49*z**4/3 + 49*z**3/3 - 43*z**2 - 3*z. Find l, given that r(l) = 0.
-14, -1, -1/4, 1, 14
Suppose -5*a = 3*l - 14, 2*l - a - 5 + 0 = 0. Find d, given that 8*d**4 + 1777*d**2 - 26*d**l - 3*d - 1755*d**2 - d = 0.
0, 1/4, 1, 2
Let u(d) be the third derivative of d**6/10 - 193*d**5/20 - 347*d**4/8 - 75*d**3 - d**2 - 6045. Solve u(o) = 0 for o.
-1, -3/4, 50
Let b(n) be the third derivative of -n**7/420 + n**6/5 + 51*n**5/40 + n**4/12 - 17*n**3 - 102*n**2 + n - 9. Factor b(l).
-(l - 51)*(l - 1)*(l + 2)**2/2
Find r such that 97*r**2 + 11486*r + 0*r**3 + 13786*r + 129*r**2 + 73008 + r**3 + 89*r**2 = 0.
-156, -3
Let w(y) be the first derivative of y**6/12 + 11*y**5/8 + 15*y**4/4 - 68*y + 152. Let g(v) be the first derivative of w(v). Find a, given that g(a) = 0.
-9, -2, 0
Let y(i) = -7*i**2 + 36*i + 39. Let c(s) = -2*s**2 + s - 1. Let a = -491 + 490. Let o(q) = a*y(q) + 6*c(q). Let o(u) = 0. What is u?
-3
Let d be (-16)/(-20)*35055/12464. Determine y so that 105/8*y**4 + 69/4*y**3 + 0 + 15/8*y**2 - d*y = 0.
-1, -3/5, 0, 2/7
Let y(v) be the first derivative of -3*v**5/40 - 17*v**4/8 - 4*v**3 - 84*v - 73. Let n(o) be the first derivative of y(o). Factor n(f).
-3*f*(f + 1)*(f + 16)/2
Suppose -5*q + q - 14 = -3*h, 3*h - 3*q = -6*q. Find t such that 1/4*t**4 + t + 1 - 5/4*t**h + 1/4*t**5 - 5/4*t**3 = 0.
-2, -1, 1, 2
Let u(d) be the second derivative of -1/5*d**2 + 62*d + 7/60*d**4 + 1/105*d**7 - 1/150*d**6 - 7/100*d**5 + 0 + 1/30*d**3. Factor u(a).
(a - 1)**3*(a + 2)*(2*a + 1)/5
Let t(o) = 18*o**2 - 1059*o + 558. Let m(u) = 16*u**2 - 1060*u + 556. Let b(l) = -11*m(l) + 10*t(l). Factor b(r).
2*(r + 268)*(2*r - 1)
Determine z so that -2/11*z**3 - 4416/11*z + 4232/11 + 186/11*z**2 = 0.
1, 46
Let j(w) be the second derivative of w**4/6 + 100*w**3/3 + 819*w**2 + 9662*w. Solve j(c) = 0.
-91, -9
Let a(c) = -c**3 - 4*c**2 + 13*c + 9. Let n be a(-6). Factor 2*d**4 - 85*d**2 + 6*d**3 - 6*d**n + 77*d**2.
2*d**2*(d - 2)*(d + 2)
Factor -88 - 144*g + 1008*g + 24 - 520*g**2 - 2396*g**2.
-4*(27*g - 4)**2
Let k(r) be the first derivative of 2*r**5/65 - 3*r**4/26 + 4*r**2/13 - 930. What is v in k(v) = 0?
-1, 0, 2
Determine a so that -4980*a**5 + 175*a**4 + 4985*a**5 - 2*a**2 + 2*a**2 - 370*a**3 = 0.
-37, 0, 2
Let p(r) be the second derivative of -r**6/5 + 39*r**5/4 - 136*r**4 + 128*r**3 + 1934*r. Factor p(x).
-3*x*(x - 16)**2*(2*x - 1)
Let b(t) be the second derivative of 0 - 1/6*t**3 + 1/84*t**4 - 4/7*t**2 - 4*t. Factor b(j).
(j - 8)*(j + 1)/7
Let n(o) be the first derivative of -15/2*o**2 + 58 - 5/3*o**3 - 10*o. Solve n(r) = 0 for r.
-2, -1
Let g = 678 - 676. Factor 11*n**g + 324*n**2 - 68*n**2 - 4*n - n - n.
3*n*(89*n - 2)
Let b(r) = 6*r**2 - 16*r. Let z(v) = -28*v**2 + 63*v. Let o(u) = 9*b(u) + 2*z(u). Factor o(c).
-2*c*(c + 9)
Let -133*h**4 - 23*h**2 + h**3 + 11*h**5 - 10*h**5 + 2*h**3 - 32*h + 140*h**4 - 12 = 0. What is h?
-6, -1, 2
Let d(u) be the first derivative of 6*u**3 + 137*u**2 + 60*u + 270. Factor d(i).
2*(i + 15)*(9*i + 2)
Let d(s) be the second derivative of 1/24*s**4 + 0 - 1/4*s**2 - 1/12*s**3 + 1/40*s**5 - 2*s. Factor d(j).
(j - 1)*(j + 1)**2/2
Let l(d) be the second derivative of 1690*d**3 - 43940*d**2 - 65/2*d**4 - 2*d + 1/4*d**5 - 1. Factor l(h).
5*(h - 26)**3
Let v(a) be the first derivative of -18*a**5/65 - 525*a**4/13 - 59834*a**3/39 + 41300*a**2/13 - 27848*a/13 + 1063. Suppose v(g) = 0. Ca