w + 2)*(4*w + 1)/4
Let v(y) be the second derivative of 5*y**4/6 - 5*y**3/2 - 5*y**2 - 4*y - 12. Determine r, given that v(r) = 0.
-1/2, 2
Let w(q) be the third derivative of 5*q**8/336 - 5*q**7/14 + 13*q**6/8 - 37*q**5/12 + 5*q**4/2 + 49*q**2. Factor w(t).
5*t*(t - 12)*(t - 1)**3
Let r(z) be the second derivative of z**5/60 + z**4/12 + 4*z**2 + 11*z. Let p(a) be the first derivative of r(a). Solve p(w) = 0.
-2, 0
Suppose 7*y + 2 = -f + 5*y, y = -4*f + 13. Determine u, given that 3 + 44*u**f + 76*u**3 + 13*u**2 + 10*u**5 + 26*u + 1 + 51*u**2 = 0.
-1, -2/5
Let y be -2 + 4 + 0 + 0. Suppose y*j - 305 = -5*m, 3*m - 174 = -2*j - j. Suppose 59*z**3 + 33*z**2 - 60*z + 8 + m*z**2 + 5*z**3 = 0. Calculate z.
-2, 1/4
Let d = -159 + 161. Factor -6/5*z**d - 4/5 - 14/5*z.
-2*(z + 2)*(3*z + 1)/5
Let u(g) be the third derivative of 0 + 0*g - 40*g**2 + 0*g**3 - 1/60*g**4 + 1/150*g**5. Factor u(r).
2*r*(r - 1)/5
Let n(w) be the first derivative of -w**3 - 33*w**2/2 + 78*w - 209. Factor n(q).
-3*(q - 2)*(q + 13)
Factor -6*i - 16/3*i**2 - 2/3*i**3 + 12.
-2*(i - 1)*(i + 3)*(i + 6)/3
Let d(i) = -11*i**4 - 162*i**3 - 1186*i**2 + 3738*i - 1296. Let l(a) = 10*a**4 + 163*a**3 + 1187*a**2 - 3739*a + 1296. Let k(w) = 5*d(w) + 6*l(w). Factor k(h).
(h - 2)*(h + 18)**2*(5*h - 2)
Factor -6 + 4*v + 0*v - 7*v - v**2 + 4*v**2.
3*(v - 2)*(v + 1)
Let o = 140 + -68. Suppose 4*z = -3*j + 196, z + 0*z = 5*j + o. Let 24 + 32*c - 165*c**3 - 6*c**4 + z*c - 18*c**2 + 81*c**4 = 0. Calculate c.
-2/5, 1, 2
Let r(y) be the third derivative of -y**6/600 + y**5/150 + 13*y**4/120 + y**3/3 - 307*y**2. Determine f, given that r(f) = 0.
-2, -1, 5
Let t(c) = -2 - 13*c - 8*c + 25*c. Let f(g) = -g**2 - 21*g + 11. Let v(j) = 4*f(j) + 22*t(j). What is o in v(o) = 0?
0, 1
Let t = 83 + -57. Factor -22*b**4 - 15*b**3 - t*b**5 - 17*b**3 + 36*b**3.
-2*b**3*(b + 1)*(13*b - 2)
Let g be ((6 - (-187)/(-33)) + 1)/1. Factor -14/3*t**3 + 0 - g*t**4 + 0*t + 2/3*t**5 - 8/3*t**2.
2*t**2*(t - 4)*(t + 1)**2/3
Suppose 0 = -225*p + 139*p. Suppose p - 6/5*l**3 - 8/5*l**4 + 8/5*l - 2/5*l**5 + 8/5*l**2 = 0. Calculate l.
-2, -1, 0, 1
Let l = -15127/34 - -445. Let f = l + 41/306. Factor -2/3 + 8/9*n - f*n**2.
-2*(n - 3)*(n - 1)/9
Find f, given that -465*f + 368*f**3 + 9*f**2 - 224*f**2 - 55*f**4 - 83*f**3 + 90 = 0.
-1, 2/11, 3
Let c be (8 + 4)/(-72)*-2. Let j(k) be the third derivative of 1/3*k**4 - 5*k**2 + 1/10*k**5 + 0*k + c*k**3 + 0. Let j(v) = 0. Calculate v.
-1, -1/3
Suppose -3*x = x - 8. Suppose 3*j + d = -2*j + 1, 0 = 5*j + 3*d - 3. Solve 2/7 - 2/7*w**x + j*w = 0 for w.
-1, 1
Let b(x) be the first derivative of -4*x**3/3 + 6*x**2 + 16*x - 51. Factor b(c).
-4*(c - 4)*(c + 1)
Let d(s) be the third derivative of 1/540*s**5 + 25/54*s**3 - 18*s**2 + 5/108*s**4 + 0*s + 0. Factor d(f).
(f + 5)**2/9
Let j = -54 - 2. Let t = -56 - j. Solve -1/3*f**3 + 0 + t*f + 0*f**2 = 0.
0
Let v be (60/9)/4*1116/2325. Suppose -v*w**3 - 6/5*w**2 + 0 + 4/5*w = 0. What is w?
-2, 0, 1/2
Let k(n) be the first derivative of 2*n**3/3 + 40*n**2 + 112. Let k(z) = 0. What is z?
-40, 0
Let v(p) = 3*p**3 + 3*p. Let s(d) be the second derivative of -13*d**5/20 - d**4/12 - 13*d**3/6 + 11*d. Let w(l) = -2*s(l) - 9*v(l). Factor w(c).
-c*(c - 1)**2
Let r(u) be the first derivative of -13/14*u**4 - 16/7*u + 4/7*u**2 + 4/3*u**3 - 12 + 6/35*u**5. Solve r(s) = 0.
-2/3, 1, 2
Let c(v) be the second derivative of 0*v**3 + 0*v**5 + 1/6*v**4 - 2*v**2 + 0 + 3*v - 1/30*v**6. Let j(g) be the first derivative of c(g). Factor j(r).
-4*r*(r - 1)*(r + 1)
Let v(s) = -s**3 + 19*s**2 + s + 26. Let z be v(19). Find p, given that 385/4*p**2 - 405/4*p**4 + 5 + 45*p - z*p**3 = 0.
-1, -2/9, 1
Let u be 272*((-2)/10)/((-4)/20). Let o = -268 + u. Solve q**2 + 1/3*q**o + 0 + 1/3*q + q**3 = 0.
-1, 0
Let -66*x**2 + 31*x**4 - 255*x**3 - 34*x + 225*x**3 - 14*x**4 - 15*x**4 = 0. What is x?
-1, 0, 17
Let x(o) be the second derivative of o**4/24 - 13*o**3/6 + 12*o**2 + 2*o - 9. Determine k, given that x(k) = 0.
2, 24
Let a(d) = -5*d**2 + 11*d - 4. Let x(n) = -n + n**2 - 32 + 16 + 17. Let o(p) = 3*a(p) + 12*x(p). Factor o(q).
-3*q*(q - 7)
Let s(y) be the second derivative of -y**6/10 - 27*y**5/20 - 11*y**4/2 + 48*y**2 + 345*y. Factor s(r).
-3*(r - 1)*(r + 2)*(r + 4)**2
Let o(y) be the second derivative of -y**6/135 - 8*y**5/9 - 13*y**4/3 - 232*y**3/27 - 77*y**2/9 + 296*y. Solve o(j) = 0.
-77, -1
Let h(q) be the third derivative of 11*q**8/112 + 23*q**7/35 + 41*q**6/40 + 3*q**5/10 + 70*q**2 - 1. Solve h(x) = 0 for x.
-3, -1, -2/11, 0
Let x(f) be the second derivative of -27*f**7/77 - 12*f**6/55 + 563*f**5/110 - 39*f**4/11 - 188*f**3/33 - 24*f**2/11 + 2*f + 19. Find s, given that x(s) = 0.
-3, -2/9, 1, 2
Let h(d) be the second derivative of -d**6/27 - 17*d**5/90 - 7*d**4/18 - 11*d**3/27 - 2*d**2/9 + 2*d + 62. Factor h(q).
-2*(q + 1)**3*(5*q + 2)/9
Let g = -2272 + 2276. Find o such that -28/3*o - g*o**2 + 8 = 0.
-3, 2/3
Let w = 7/43 - -22/129. Let t(f) be the second derivative of 0 + 0*f**2 - 2*f**3 - w*f**4 - 5*f. Determine y, given that t(y) = 0.
-3, 0
Suppose n - 2*n + 1 = 0. Let l be (108/16)/(n/4). Factor -l*k**2 + k - 2*k + 26*k**2.
-k*(k + 1)
Let m be (10/225)/((-11)/(-385)). Solve 14/9*p + 4/9 - m*p**3 - 4/9*p**2 = 0 for p.
-1, -2/7, 1
Suppose 0*n = 2*n - 40. Factor 9*m**2 - 15*m**3 + 5*m - 3 + 0 + n*m**4 - 2*m - 14*m**4.
3*(m - 1)**3*(2*m + 1)
Suppose 0*m = -2*m - 4*m. Suppose -1/6*g**3 + 0 + 1/2*g**4 - 1/2*g**2 + 1/6*g**5 + m*g = 0. Calculate g.
-3, -1, 0, 1
Let r(i) be the second derivative of -1/72*i**4 - 12*i - 1/252*i**7 + 1/120*i**5 + 0*i**2 + 0 + 0*i**3 + 1/180*i**6. Suppose r(y) = 0. Calculate y.
-1, 0, 1
Let h(c) be the third derivative of c**5/390 - c**4/52 - 10*c**3/39 - 219*c**2. Find t such that h(t) = 0.
-2, 5
Let a(f) be the first derivative of -15*f**4 - 294*f**2 - 1029*f + 3/5*f**5 + 15 + 126*f**3. Factor a(y).
3*(y - 7)**3*(y + 1)
Let z(v) be the second derivative of v**7/280 + v**6/30 + 3*v**5/40 - 2*v**3 - 17*v. Let i(u) be the second derivative of z(u). Suppose i(q) = 0. Calculate q.
-3, -1, 0
Let l = -3679/3 - -1227. Find q such that 2*q + 2*q**2 + 2/3*q**3 + l = 0.
-1
Let -8096/3*x + 4/3*x**5 - 364/3*x**4 + 8828/3*x**2 + 8092/3*x**3 - 8464/3 = 0. What is x?
-1, 1, 46
Let i(b) be the second derivative of 5*b**4/12 - 5*b**3 + 45*b**2/2 - 80*b. Solve i(t) = 0.
3
Let h(t) be the third derivative of -t**8/784 - 3*t**7/490 - t**6/140 + t**5/70 + 3*t**4/56 + t**3/14 - 63*t**2. Determine y so that h(y) = 0.
-1, 1
Let f(w) be the third derivative of w**7/350 + w**6/40 - 7*w**5/50 - w**2 - 2*w. Factor f(z).
3*z**2*(z - 2)*(z + 7)/5
Let q(u) = -u**3 - 16*u**2 + 7*u + 22. Let f(z) = -z**3 - 17*z**2 + 5*z + 21. Let l(y) = -4*f(y) + 5*q(y). Factor l(p).
-(p - 2)*(p + 1)*(p + 13)
Solve -25/3*n**5 - 10*n**4 + 0 + 11/3*n**3 - 4/3*n + 4*n**2 = 0.
-1, 0, 2/5
Let p(z) be the second derivative of -z**5/60 + z**3/6 + 15*z**2/2 - 10*z - 1. Let c(g) be the first derivative of p(g). Factor c(l).
-(l - 1)*(l + 1)
Let r(x) be the second derivative of x**6/45 - 2*x**5/15 - x**4/9 + 4*x**3/3 + 3*x**2 - 80*x + 2. Factor r(h).
2*(h - 3)**2*(h + 1)**2/3
Let j(d) = -d**3 + d + 1. Let x(v) = -20*v**3 - 18*v**2 + 70*v - 18. Let k(o) = -44*j(o) + 2*x(o). Factor k(s).
4*(s - 5)*(s - 2)**2
Let w(j) be the second derivative of j**6/90 - j**5/20 + j**4/12 - j**3/18 + 15*j + 2. Let w(d) = 0. Calculate d.
0, 1
Find a, given that 75*a + 9/4*a**4 - 383/4*a**2 - 19 + 75/2*a**3 = 0.
-19, 2/3, 1
Factor 8265 - 4*g**4 - 8265 - 80*g + 16*g**2 + 20*g**3.
-4*g*(g - 5)*(g - 2)*(g + 2)
Let k(t) = 2*t**3 - 4*t**2 - 3*t + 2. Let z be k(4). Factor -z - q**2 + 2*q + 52 + 0*q**3 + 3*q**2 - 2*q**3.
-2*(q - 1)**2*(q + 1)
Let b = 70 + -46. Factor 2*x**2 - 10*x**3 + b*x**3 + 4*x**4 - 9*x**3 + x**5.
x**2*(x + 1)**2*(x + 2)
Let z = 77/166 - -3/83. Let g(v) be the third derivative of v**2 - z*v**3 - 1/4*v**4 + 0 - 1/20*v**5 + 0*v. Factor g(m).
-3*(m + 1)**2
Let s be 1/(-3) + (-30)/(-9). What is q in -7*q**2 + 0*q**2 + 0 - 2*q**s + q**2 + 8 = 0?
-2, 1
Let n = 90 + -84. Let t(q) be the first derivative of -2 + 1/3*q**n + 4/5*q**5 - 4/3*q**3 + 0*q**2 - 1/2*q**4 + 0*q. Factor t(v).
2*v**2*(v - 1)*(v + 1)*(v + 2)
Factor 0 + w**3 + 0 - w**3 - 3*w**3 + 3*w**2.
-3*w**2*(w - 1)
Let d(q) be the second derivative of q**6/10 + 3*q**5/2