*n**f + 105/8*n**2 + 0 + 21/4*n**4 + 9/4*n = 0.
-3, -1/2, -2/7, 0
Let d(h) be the second derivative of -6*h**2 + 0 - 3/8*h**4 + 1/10*h**5 + 3/40*h**6 - h**3 + 2*h. Let l(w) be the first derivative of d(w). Factor l(x).
3*(x - 1)*(x + 1)*(3*x + 2)
Let i(p) be the first derivative of 2*p**3/15 - 29*p**2/5 - 68*p - 642. Factor i(h).
2*(h - 34)*(h + 5)/5
Suppose -10*v + 17 = -5 - 18. Let o(c) be the second derivative of 1/16*c**5 + 5/48*c**v + 0*c**2 + 0*c**3 + 0 - 4*c. Factor o(y).
5*y**2*(y + 1)/4
Let g(p) = 241*p - 3372. Let f be g(14). Let v(s) be the third derivative of 0*s - s**f + 0*s**3 + 0 - 7/108*s**4 + 1/270*s**5. Factor v(u).
2*u*(u - 7)/9
Let h(n) be the first derivative of 12/25*n**5 + 9/10*n**4 + 40 - 1/15*n**6 + 0*n**2 + 0*n - 28/15*n**3. Suppose h(i) = 0. Calculate i.
-2, 0, 1, 7
Let c(b) be the second derivative of -133*b**4/2 - 531*b**3/2 + 3*b**2 - 1343*b. Suppose c(h) = 0. What is h?
-2, 1/266
Let u = 39 - 39. Suppose -n - 3 = u, 3*f - 10*n = -14*n - 3. Factor -2/5*p**f + 4/5 - 4/5*p**2 + 2/5*p.
-2*(p - 1)*(p + 1)*(p + 2)/5
Let y(m) = -35*m**4 - 375*m**3 + 205*m**2 + 955*m - 675. Let h(z) = -10*z**4 - 107*z**3 + 58*z**2 + 273*z - 193. Let a(r) = -25*h(r) + 7*y(r). Factor a(b).
5*(b - 1)**2*(b + 2)*(b + 10)
Let l(h) = -h**2 + 83*h - 387. Let i be l(5). Let t(m) be the third derivative of -1/4*m**i - 1/24*m**4 - 1/360*m**5 + 8*m**2 + 0*m + 0. Factor t(z).
-(z + 3)**2/6
Let k(p) be the first derivative of 361/4*p + 89 + 1/12*p**3 - 19/4*p**2. Suppose k(o) = 0. What is o?
19
Let j be 4 + -30 + (-11562)/(-423). Let 2/9*s**4 - 8/9*s**3 + 10/9 - j*s**2 + 8/9*s = 0. What is s?
-1, 1, 5
Let v(n) be the first derivative of -22*n**5/15 - 5*n**4/3 + 70*n**3/9 + 10*n**2/3 - 16*n + 742. Let v(j) = 0. Calculate j.
-2, -1, 1, 12/11
Let b(j) be the third derivative of j**5/20 + 157*j**4/4 + 1740*j**2. Factor b(a).
3*a*(a + 314)
Let q(l) = 54*l - 558. Let s be q(12). Let w(c) be the second derivative of 0 - 75/2*c**4 - 2*c + 540*c**2 + s*c**3 - 1/6*c**6 + 17/4*c**5. Factor w(b).
-5*(b - 6)**3*(b + 1)
Let v(s) = 3*s + 5 - 120*s + 8*s. Let y be v(-7). Solve -211*n - 697*n**3 + 94*n + y*n**2 + 69*n - 3399*n**3 + 1 = 0 for n.
1/16
Suppose 0 - 6 = -3*b. Suppose -b*d - 3*d - 25 = -g, 5*d = 3*g - 25. Factor g*i**2 + 14 - 2*i**2 + 0*i**2 - 6.
-2*(i - 2)*(i + 2)
Let w(u) be the third derivative of -u**5/90 + 17*u**4/18 - 208*u**3/9 + 748*u**2 + 2*u. Factor w(p).
-2*(p - 26)*(p - 8)/3
Find q, given that -492 - 110*q**2 - 9*q**2 - 22*q**3 + 626*q - 138*q + 21*q**3 = 0.
-123, 2
Let h be (42/36)/(2/3)*((-132)/(-77) + -1). Factor -h*c**2 - 11/4*c**3 - 7/4*c**4 + 0*c + 0 - 1/4*c**5.
-c**2*(c + 1)**2*(c + 5)/4
Suppose -13*u + 17 + 35 = 0. Let t(s) = -s**3 + 6*s**2 + 1. Let q be t(5). Factor -2*i**3 + 10*i**4 + 10*i**u + 8*i**4 - q*i**4.
2*i**3*(i - 1)
Let t(x) be the second derivative of x**5/70 + 65*x**4/42 + 188*x**3/21 + 124*x**2/7 + 527*x + 1. Factor t(i).
2*(i + 1)*(i + 2)*(i + 62)/7
Let z = 26481352/26499 + -6/8833. Let n = 1002 - z. Determine o, given that -20/3*o**3 - 12*o**2 - 4/3*o**4 - n - 28/3*o = 0.
-2, -1
Let i = 5 + 23. Let g = i + -18. Solve -160*z**2 + 26 - 24*z + g + 164*z**2 = 0 for z.
3
Let p(g) = g**4 - g**3 - 4*g - 1. Let j(r) = 12*r**4 - 16*r**3 + 256*r**2 - 64*r - 16. Let i(s) = -j(s) + 16*p(s). Factor i(z).
4*z**2*(z - 8)*(z + 8)
Let b be 158 - (1 + -7 + 4). Suppose -b*j + 165*j = 10. Suppose -1 - 2 - 5 - 12*f**2 - 18*f - j*f**3 = 0. Calculate f.
-4, -1
Factor 198 + 73*x + 15 + 2820*x**2 - 2819*x**2 - 3.
(x + 3)*(x + 70)
Determine w, given that 1/6*w + 23/2 - 1/6*w**3 - 23/2*w**2 = 0.
-69, -1, 1
Let s be (((-35)/5)/168)/((195/20)/(-13)). Let w(b) be the second derivative of 0 + 6*b - s*b**4 + 0*b**2 + 2/9*b**3. Factor w(g).
-2*g*(g - 2)/3
Let n(c) = -24*c**2 - 468*c - 12. Let o(i) = 19*i**2 + 468*i + 9. Let b(q) = -3*n(q) - 4*o(q). Factor b(h).
-4*h*(h + 117)
Let x(m) be the second derivative of -m**6/15 + 888*m**5/5 - 197136*m**4 + 116704512*m**3 - 38862602496*m**2 + m + 785. Factor x(b).
-2*(b - 444)**4
Let j(b) be the first derivative of 1/4*b**6 + 0*b**2 + 3*b**4 + 3/2*b**5 + 0*b + 194 + 2*b**3. Let j(u) = 0. What is u?
-2, -1, 0
Let l(g) be the first derivative of 112 - 2/5*g**2 + 0*g + 4/15*g**3. Find n, given that l(n) = 0.
0, 1
Let h(c) = 125*c**2 + 86015*c + 26389280. Let u(a) = 9*a**2 + 6144*a + 1884948. Let k(b) = -4*h(b) + 55*u(b). Factor k(i).
-5*(i + 614)**2
Let k(w) be the first derivative of -w**4/2 + 1156*w**3/3 - 9813. Solve k(l) = 0.
0, 578
Let n be 355*(-4)/(-4200) + (-1)/3. Let o(c) be the third derivative of n*c**7 - 1/40*c**6 + 1/20*c**5 - 1/24*c**4 + 0*c + 0 + 0*c**3 + 11*c**2. Factor o(b).
b*(b - 1)**3
Let j(x) = -57*x**3 - 579*x**2 + 5944*x - 5363. Let w(q) = 320*q**3 + 3184*q**2 - 32692*q + 29496. Let t(b) = -28*j(b) - 5*w(b). Factor t(d).
-4*(d - 61)*(d - 11)*(d - 1)
Let r(o) be the second derivative of o**4/42 + 449*o**3/21 - 5*o - 1149. Factor r(s).
2*s*(s + 449)/7
Let q = -169961 + 2549417/15. Factor -2/5*u - q*u**2 - 4/15.
-2*(u + 1)*(u + 2)/15
Let z be 286/(-360) + (-356)/(-445). Let j(g) be the second derivative of 0*g**5 + 0*g**4 + 1/252*g**7 + 14*g + 0*g**3 + 0 - z*g**6 + 0*g**2. Factor j(x).
x**4*(x - 1)/6
Let p(f) be the third derivative of 13*f**7/315 + 9*f**6/4 + 3377*f**5/90 + 1145*f**4/12 + 50*f**3 - 294*f**2 + 3. Let p(g) = 0. Calculate g.
-15, -1, -2/13
Let c(l) be the third derivative of 0*l - 1/21*l**7 - 1/6*l**6 + 0*l**4 + 5/336*l**8 + 0 - 20*l**2 + 2/3*l**5 + 0*l**3. Factor c(q).
5*q**2*(q - 2)**2*(q + 2)
Let b = 1367 + -1360. Let k(j) be the second derivative of 4/3*j**3 - 35/6*j**6 + 93/10*j**5 - 17/3*j**4 - b*j + 0 + 0*j**2 + 7/6*j**7. Factor k(q).
q*(q - 2)*(q - 1)*(7*q - 2)**2
Let k(m) be the third derivative of m**8/53760 - 11*m**7/20160 + m**6/576 - 229*m**4/24 - 160*m**2. Let h(d) be the second derivative of k(d). Factor h(i).
i*(i - 10)*(i - 1)/8
Let w be 9*12/54 + (-2 - -3)*(8 + -10). Suppose 0 + w*m + 5*m**4 + 0*m**2 + 12*m**3 - 1/2*m**5 = 0. Calculate m.
-2, 0, 12
Solve 110 - 298*g**3 - 110*g**2 + 413*g**3 - 2*g - 113*g**3 = 0 for g.
-1, 1, 55
Let x(d) be the first derivative of d**3 - 69*d**2/2 + 126*d - 363. Suppose x(r) = 0. Calculate r.
2, 21
Solve 5*r**2 - 775*r + 5690 - 966*r - 1114*r = 0 for r.
2, 569
Let r(h) be the first derivative of 3*h**5/20 - 3*h**4/4 - 61*h**3/4 + 3*h**2/2 + 45*h + 1837. Solve r(o) = 0.
-6, -1, 1, 10
Let g(r) = -r**3 - 6*r**2 + r - 1. Let v(o) = -4*o**5 - 20*o**4 + 72*o**3 + 524*o**2 + 732*o + 324. Let k(p) = 4*g(p) + v(p). What is d in k(d) = 0?
-4, -1, 5
Let a(b) = 4*b - 140. Let y be a(24). Let s(z) = -42*z**3 - 12*z**2 - 36*z. Let u(n) = 2*n**3 + n. Let k(q) = y*u(q) - 2*s(q). Factor k(d).
-4*d*(d - 7)*(d + 1)
Factor -4285/3 + 5/3*m**2 - 4280/3*m.
5*(m - 857)*(m + 1)/3
Suppose -3*x + 7 = 5*j, -j - 129 = -3*x - 134. Let r be (-9)/10*(-15)/18. Suppose 3/2*b + 0 - r*b**j = 0. Calculate b.
0, 2
Suppose -2*c - 16 = 4*b, c = -3*b + 1960 - 1966. Let 72/7*h**4 + 0 - 46/7*h**3 - 24/7*h**b - 2/7*h = 0. What is h?
-1/4, -1/9, 0, 1
Factor 56/5 - 282/5*y + 2*y**2.
2*(y - 28)*(5*y - 1)/5
Let a(s) be the third derivative of -s**6/240 - 1389*s**5/20 - 1929321*s**4/4 - 1786551246*s**3 + s**2 + 94*s + 8. Factor a(n).
-(n + 2778)**3/2
Let u(h) = h**3 + 7*h**2 + 5*h. Let t be u(-6). Suppose 2*m - 4 - t = 0. Solve -2*q**m + q**2 + 4*q**5 - 30*q**4 - 2*q + 26*q**4 + 3*q**2 = 0.
-1, 0, 1
Let i(j) be the third derivative of j**8/672 + j**7/210 - 29*j**6/240 + 23*j**5/60 + 5*j**4/12 - 14*j**3/3 + 659*j**2. Factor i(q).
(q - 2)**3*(q + 1)*(q + 7)/2
Let c(n) be the second derivative of -n**7/105 - 7*n**6/15 - 144*n**5/25 + 54*n**4/5 - 5*n - 224. Determine h so that c(h) = 0.
-18, 0, 1
Factor -2/3*y**2 - 122/3*y + 128.
-2*(y - 3)*(y + 64)/3
Let v = -1759/2 - -880. Let k(g) be the first derivative of 9/4*g**2 + 0*g + v*g**3 - 9. Factor k(j).
3*j*(j + 3)/2
Let k(q) be the third derivative of q**6/24 - 4*q**5/3 - 125*q**4/2 - 840*q**3 + 122*q**2 + 3. Factor k(j).
5*(j - 28)*(j + 6)**2
Let f(b) be the first derivative of -4*b**3/3 + 1106*b**2 + 2216*b - 2459. Suppose f(c) = 0. What is c?
-1, 554
Let k(d) = -2*d**4 + 17*d**3 + 25*d**2 - 28*d - 2. Let g(f) = 7*f**4 - 69*f**3 - 97*f**2 + 111*f + 9. Let h(u) = 4*g(u) + 18*k(u). Let h(o) = 0. What is o?
-2, 0, 3/4, 5
Let c 