/11*z**5 + 2/11*z**2 = 0. Calculate z.
-1, -1/3, 0, 1
Find v, given that 2/11*v**5 + 0*v - 4/11*v**3 - 2/11*v**4 + 0*v**2 + 0 = 0.
-1, 0, 2
Factor 24 - 12*h + 3/2*h**2.
3*(h - 4)**2/2
Let 4*p**5 + 10*p**4 + 44*p**3 - p**5 - 52*p**3 - 5*p**5 = 0. Calculate p.
0, 1, 4
Factor -1445/3 - 170/3*s - 5/3*s**2.
-5*(s + 17)**2/3
Suppose 0 = -15*o + 38 - 8. Let x(s) be the third derivative of 0 - 1/21*s**4 - 1/210*s**5 - 4/21*s**3 + 0*s - 5*s**o. Determine w so that x(w) = 0.
-2
Let r(h) be the third derivative of h**5/120 + 23*h**4/8 + 1587*h**3/4 - 5*h**2 - 19*h. Factor r(u).
(u + 69)**2/2
Let w(d) be the third derivative of d**6/288 + d**5/480 + 35*d**3/6 - 33*d**2. Let a(c) be the first derivative of w(c). Factor a(j).
j*(5*j + 1)/4
Let j(f) = f**3 + 6*f**2 - f - 6. Let z be (7/70*12)/(3/(-10)). Let l(x) = -x**3 - 5*x**2 + x + 5. Let c(p) = z*l(p) - 3*j(p). Factor c(r).
(r - 1)*(r + 1)*(r + 2)
Let m = -298 - -301. Let x(z) be the second derivative of -8/5*z**5 + 7/3*z**4 - 4/3*z**m + 2/5*z**6 + z + 0 + 0*z**2. Find p, given that x(p) = 0.
0, 2/3, 1
Let c = 1993 - 1989. Solve 0 - 10/3*q**3 - 14/9*q**5 - 2/9*q**2 + 4/9*q - 38/9*q**c = 0 for q.
-1, 0, 2/7
Suppose 2*k + 857 = -2*c - 321, 0 = -c - 5*k - 589. Let b = c + 1783/3. Let -7/3*o**2 - b*o - 4/3 = 0. Calculate o.
-2, -2/7
Determine i, given that -20*i**3 - 12*i**4 + 30*i**2 - 25*i - 4*i**5 - 5*i**3 + 36*i**3 = 0.
-5/2, 0, 1
Factor -8*c**3 + 20/3*c**4 + 50/9*c**5 + 16/9*c**2 + 0*c + 0.
2*c**2*(c + 2)*(5*c - 2)**2/9
Let t be (-1)/(3*1) - (-33)/99. Suppose -3*i = 2*q - 16, -3*i = -q - t - 1. Solve 0 - 5/4*r**3 - 1/2*r**2 - 1/4*r**q + 0*r - r**4 = 0 for r.
-2, -1, 0
Let z(d) be the first derivative of 1029*d**4/4 + 490*d**3 + 336*d**2 + 96*d + 620. Factor z(p).
3*(7*p + 2)*(7*p + 4)**2
Let a(v) = 25*v**4 - 7*v**3 + 41*v**2 + 9*v + 17. Let f(x) = 3*x**4 - x**3 + 5*x**2 + x + 2. Let s(b) = -6*a(b) + 51*f(b). Factor s(u).
3*u*(u - 1)**3
Let v(n) be the first derivative of n**4/12 + 64*n**3 + 18432*n**2 + 2359296*n - 695. Factor v(q).
(q + 192)**3/3
Let r(d) be the third derivative of 20*d**2 - 1/32*d**4 + 0 + 0*d**3 + 0*d + 1/80*d**5. Solve r(h) = 0 for h.
0, 1
Let m(y) be the first derivative of 8*y**7/105 + y**6/3 + 17*y**5/60 + y**4/12 - 9*y**2/2 - 11. Let r(t) be the second derivative of m(t). Factor r(w).
w*(w + 2)*(4*w + 1)**2
Factor -8/5*c - 2/5*c**3 + 8/5*c**2 + 0.
-2*c*(c - 2)**2/5
Let u(g) be the second derivative of 3*g**5/160 + g**4/8 + g**3/16 - 9*g**2/8 - 102*g. Factor u(k).
3*(k - 1)*(k + 2)*(k + 3)/8
Let z be 2/(-2) - (-2)/1. Let d be (z - 1)*(15/(-9))/5. Factor 0*l + d - 1/4*l**3 + 1/2*l**2.
-l**2*(l - 2)/4
Let n(a) be the first derivative of -a**6/210 + a**4/84 + 19*a - 8. Let t(l) be the first derivative of n(l). Factor t(g).
-g**2*(g - 1)*(g + 1)/7
Suppose 0 = -319*p + 307*p + 84. Let i(n) be the third derivative of 0 + 16/3*n**3 + 1/30*n**5 + 0*n + 2/3*n**4 + p*n**2. Factor i(v).
2*(v + 4)**2
Let j(g) = -11*g**4 + 4*g**3 - g**2 + 12*g - 4. Let o(v) = -4*v**4 + 2*v**3 + 4*v - 2. Let y(m) = 3*j(m) - 8*o(m). Let y(u) = 0. Calculate u.
-2, -1, 1
Factor 0*h + 2/5*h**5 + 0 - 2*h**3 - 2/5*h**4 - 6/5*h**2.
2*h**2*(h - 3)*(h + 1)**2/5
Let j = 2/205 - -151/5535. Let t(o) be the second derivative of 1/135*o**6 + 0*o**2 - j*o**3 + 1/90*o**5 + 0 + 8*o - 1/54*o**4. Factor t(l).
2*l*(l - 1)*(l + 1)**2/9
Factor 6*n**2 - n**2 + 3*n - 103 + 19*n - 2*n + 118.
5*(n + 1)*(n + 3)
Let y(u) be the third derivative of -u**5/360 + 7*u**4/18 - 196*u**3/9 + 111*u**2. Factor y(l).
-(l - 28)**2/6
Let z(i) = 2*i**2 - 10*i + 26. Let r(d) = 10*d**2 - 48*d + 131. Let m(j) = 2*r(j) - 11*z(j). Factor m(b).
-2*(b - 4)*(b - 3)
Let -30/7 + 3*k - 3/7*k**2 = 0. What is k?
2, 5
Let o(j) be the third derivative of -10*j**2 + 0 - 1/1008*j**8 - 1/9*j**3 - 4/45*j**5 - 1/105*j**7 - 1/8*j**4 + 0*j - 7/180*j**6. Find n, given that o(n) = 0.
-2, -1
Let s(m) be the second derivative of 7/6*m**3 - 1/15*m**4 + 0 - 1/100*m**5 + 0*m**2 + 1/900*m**6 - 4*m. Let l(b) be the second derivative of s(b). Factor l(w).
2*(w - 4)*(w + 1)/5
Suppose 16 = -0*o + 2*o. Suppose 2*a + 2*p + 16 = 7*p, -2*p = -o. Determine i, given that -3/4*i**a - 3 - 3*i = 0.
-2
Let n = -38 + 42. Suppose 0 = 2*l + 4*i - 20, -3*l - 7*i = -n*i - 30. Find x, given that x + 12*x**2 - x**3 - l*x - 2*x**3 = 0.
0, 1, 3
Let i(q) be the first derivative of -3*q**5/5 - 9*q**4/2 - 9*q**3 + 41. Find c, given that i(c) = 0.
-3, 0
Let i(k) be the second derivative of k**4/4 - 15*k**3/2 + 779*k. Factor i(f).
3*f*(f - 15)
Let 2*g**2 - 7/4*g**3 + 0 - 1/4*g**4 + 0*g = 0. Calculate g.
-8, 0, 1
Let k = 12156 + -133806/11. Let z = k - -832/99. Suppose 0 - 4/9*h**3 + z*h**2 + 2/9*h**4 + 0*h = 0. What is h?
0, 1
Let q(i) be the first derivative of -i**6/9 - 10*i**5/9 - 77*i**4/18 - 74*i**3/9 - 76*i**2/9 - 40*i/9 - 144. Suppose q(n) = 0. Calculate n.
-10/3, -2, -1
Let q = 41/114 + -1/38. Suppose -427 - 856 = -336*t + 397. Suppose 0 + q*m + 1/3*m**t + 0*m**4 + 0*m**2 - 2/3*m**3 = 0. Calculate m.
-1, 0, 1
Let y(t) = t**3 + t**2 - 9*t + 11. Let w be y(2). Let q(u) be the third derivative of 0*u**3 + 0 - 1/66*u**w + 1/132*u**4 + 0*u + 4*u**2. Factor q(s).
-2*s*(5*s - 1)/11
Factor -16/7*y - 20/7 + 4/7*y**2.
4*(y - 5)*(y + 1)/7
Let u(i) be the third derivative of i**9/75600 - i**8/6720 + 19*i**4/24 - 22*i**2. Let g(a) be the second derivative of u(a). Suppose g(r) = 0. Calculate r.
0, 5
Let j(t) be the first derivative of -t**6/960 + t**4/64 - t**3/24 + 12*t**2 - 3. Let m(h) be the second derivative of j(h). Factor m(n).
-(n - 1)**2*(n + 2)/8
Factor 3/2 - 3/2*h**2 - 35/4*h.
-(h + 6)*(6*h - 1)/4
Let i(u) be the third derivative of -u**8/7560 + u**7/3780 + u**6/1620 - u**5/540 - 2*u**3 + 5*u**2. Let w(k) be the first derivative of i(k). Factor w(q).
-2*q*(q - 1)**2*(q + 1)/9
Factor 578/5*j**4 + 716/5*j**2 + 72/5*j + 1224/5*j**3 + 2/5.
2*(j + 1)**2*(17*j + 1)**2/5
Let o(v) be the second derivative of 3/25*v**5 - 5*v + 0 + 1/5*v**4 + 0*v**2 + 1/10*v**3. Let o(y) = 0. Calculate y.
-1/2, 0
Let j(d) be the second derivative of -d**6/72 + d**5/6 - 5*d**4/8 + 8*d**3/3 + 16*d. Let y(t) be the second derivative of j(t). Factor y(l).
-5*(l - 3)*(l - 1)
Let j be 98/(-1078) - (-1 - (-141)/264). Factor j*u - 7/8*u**2 + 0 + 1/2*u**3.
u*(u - 1)*(4*u - 3)/8
Let j(x) be the second derivative of x**7/12600 - 11*x**6/1800 + 121*x**5/600 - 10*x**4/3 - 18*x. Let v(f) be the third derivative of j(f). Factor v(z).
(z - 11)**2/5
Suppose -44/3*z - 16/3*z**3 - 16/3 - 2/3*z**4 - 14*z**2 = 0. What is z?
-4, -2, -1
Let y = -285 + 286. Let v(u) be the first derivative of y - 3/2*u**2 + 1/3*u**3 + 2*u. Determine f so that v(f) = 0.
1, 2
Let j(a) be the second derivative of a**4/48 - 31*a**3/24 + 3*a + 12. Let j(f) = 0. Calculate f.
0, 31
Let t(z) = 2*z**2 - 9*z - 3. Let o(c) = -c + 8 - 3*c**2 - 4 + 7*c + 2*c. Let d(p) = -3*o(p) - 4*t(p). Let w(g) = 6*g. Let k(b) = 3*d(b) - 7*w(b). Factor k(y).
3*y*(y - 2)
Let -4*j**2 + 86*j + 54*j - 90 - 84 - 90 = 0. Calculate j.
2, 33
Let m(g) = -g**2 + 8*g - 2. Let z be 7 - 0/(-3 + 1). Let s be m(z). Factor 5*n**3 + n**3 - 14*n**3 + 2*n**4 - n**s + 7*n**3.
-n**3*(n - 1)**2
Let s(w) be the second derivative of -w**4/54 - 124*w**3/27 - 3844*w**2/9 - 73*w. Suppose s(a) = 0. What is a?
-62
Let a(j) be the second derivative of -j**4/66 - 2*j**3/33 + 8*j**2/11 - 51*j. Factor a(p).
-2*(p - 2)*(p + 4)/11
Let l(z) = -z - 4. Let q be l(0). Let a be ((-1)/(-3))/(q/(-24)). Suppose 0*f**2 - 7*f - 3*f**a - f - f**2 = 0. Calculate f.
-2, 0
Factor -2/13*w**2 + 8/13*w - 8/13.
-2*(w - 2)**2/13
Let -16/7*g**5 - 128/7 - 496/7*g + 404/7*g**3 + 76/7*g**4 + 160/7*g**2 = 0. Calculate g.
-2, -1/4, 1, 8
Let r(t) = t**3 + t - 2. Let q(f) be the first derivative of 3*f**4/4 + 4*f**3/3 + f**2/2 - 8*f + 46. Let c(v) = q(v) - 2*r(v). Factor c(b).
(b - 1)*(b + 1)*(b + 4)
Let j = -6353/18 - -353. Let y(v) be the first derivative of -2/9*v**3 + 0*v - j*v**6 + 1/6*v**2 + 0*v**4 + 2/15*v**5 - 2. Factor y(l).
-l*(l - 1)**3*(l + 1)/3
Let d(s) be the second derivative of s**7/1050 - s**6/300 + s**5/300 - 3*s**2 + 23*s. Let r(c) be the first derivative of d(c). Factor r(b).
b**2*(b - 1)**2/5
Find l, given that 2*l**5 + 0 + 0*l - 15/8*l**3 + 3*l**4 - 25/8*l**2 = 0.
-5/4, 0, 1
Let i be -2 + -2 + 486/117 - (-1740)/1365. Determine d, g