ive of j(n). Solve r(q) = 0 for q.
0, 2
Let g(m) be the first derivative of -m**4/9 - 8*m**3/27 + 8*m**2/9 + 32*m/9 - 10. Let g(c) = 0. Calculate c.
-2, 2
Let a be (4/(-480))/(1/(-2)). Let k(f) be the third derivative of f**2 - 1/112*f**8 + 0*f + 0*f**4 - 1/30*f**7 + 0 - a*f**5 - 1/24*f**6 + 0*f**3. Factor k(l).
-l**2*(l + 1)**2*(3*l + 1)
Let v = 42 - 36. Suppose 10*p + v = 26. Factor 0 + 0*n + 1/5*n**p.
n**2/5
Let f(c) = -c - 3. Let x be f(-5). Suppose 5*q - 2*p + 6*p = 6, -8 = -x*q + 4*p. Factor 3 + 1 + q*u**5 - 8*u**4 - 20*u + 8*u**3 + 4*u**2 + 10*u.
2*(u - 2)*(u - 1)**3*(u + 1)
Let m be 160/180*15/2. Let n = -9 - -11. Factor 0 - 23/3*z**3 + 7/3*z**4 + m*z**n - 4/3*z.
z*(z - 2)*(z - 1)*(7*z - 2)/3
Suppose -5*k - 1 = -5*y + 14, 4*y - 3*k = 10. Suppose 5 = 3*d + 2*w - y, -2*d + 5*w - 15 = 0. Factor 0*f + 0*f**2 + 2/3*f**4 + d + 2/3*f**3.
2*f**3*(f + 1)/3
Let n(p) be the third derivative of 0*p + 0 + 1/36*p**4 - 1/315*p**7 + 1/60*p**6 + 0*p**3 - 1/30*p**5 + 4*p**2. Factor n(w).
-2*w*(w - 1)**3/3
Let s(a) be the third derivative of a**8/168 - a**7/35 + a**6/30 + a**5/15 - a**4/4 + a**3/3 - 6*a**2. Factor s(c).
2*(c - 1)**4*(c + 1)
Suppose d - 4*q = -6, 0 = 3*d + 4*q - 14 - 16. Let v(j) be the first derivative of -57/2*j**4 + 84/5*j**5 + 3*j - 12*j**2 + 25*j**3 - 4*j**d + 2. Factor v(h).
-3*(h - 1)**2*(2*h - 1)**3
Let p(w) be the first derivative of w**5/60 + w**4/24 - w**3/3 - 3*w**2/2 - 5. Let z(k) be the second derivative of p(k). Factor z(u).
(u - 1)*(u + 2)
Let a(v) be the second derivative of 0 + 1/10*v**5 - v**4 + 4*v**3 - 8*v**2 - v. Suppose a(l) = 0. What is l?
2
Let m = -11 - -18. Let z(h) = -h + 7. Let i be z(m). Let -1/2*y**3 + 1/2*y + 1/2*y**2 - 1/2*y**4 + i = 0. Calculate y.
-1, 0, 1
Let u(k) be the second derivative of -k**7/1260 + k**6/90 - k**5/15 - k**4/4 + k. Let g(r) be the third derivative of u(r). Factor g(j).
-2*(j - 2)**2
Let u be (4/1)/(8/(-12)). Let t = -4 - u. Factor 0*w - 3*w**3 - 2*w + 6*w**2 + t*w - 3*w.
-3*w*(w - 1)**2
Factor 15*x - 15*x**2 + 0*x - 12*x + 3 + 9*x**3.
3*(x - 1)**2*(3*x + 1)
Factor -2/13*q**4 - 2/13*q + 2/13*q**2 + 2/13*q**3 + 0.
-2*q*(q - 1)**2*(q + 1)/13
Factor -25/7*g**4 - 4/7 - 4*g - 10*g**3 - 69/7*g**2.
-(g + 1)**2*(5*g + 2)**2/7
Suppose 0 = 2*g + 8, -g - 24 = -4*t + 2*g. Solve -3/2*u**t + 3/4*u**4 + 0*u + 0 + 3/4*u**2 = 0 for u.
0, 1
Let f(v) be the second derivative of v**7/42 + v**6/15 - v**5/20 - v**4/6 - 21*v. Solve f(j) = 0.
-2, -1, 0, 1
Let k(t) = -t + 2. Let z be k(-4). Let j = z + -3. Let o(h) = h**3 + 4*h**2 - h + 4. Let p(r) = -r**3 - 3*r**2 + r - 3. Let n(w) = j*o(w) + 4*p(w). Factor n(c).
-c*(c - 1)*(c + 1)
Solve 4/7*o**5 + 4/7*o - 8/7 + 16/7*o**2 - 8/7*o**4 - 8/7*o**3 = 0.
-1, 1, 2
Let t(y) = -y**3 - 5*y**2 + y + 7. Let j be t(-5). Factor -j - 2 - 2*r - r**2 + 3.
-(r + 1)**2
Let p be -1 - (3 - -2*3). Let w = p - -13. Solve k**w - 9*k + 8*k**2 + 2 + 4*k**2 - 5*k**3 = 0 for k.
1/2, 2
Suppose 0 = -4*q - 18 + 114. Let s be (-4)/q*-21 + -3. Suppose 0 - s*b**2 - 1/2*b = 0. What is b?
-1, 0
Suppose -4*j - 119 = -135. Let 0 + 1/3*q**5 + q**3 - 1/3*q**2 - q**j + 0*q = 0. What is q?
0, 1
Let u(t) = 4*t**5 - 5*t**4 + 3*t**3 + 2*t**2 + 2*t. Let f(i) = -i**5 + i**4 - i**3 - i. Let a = -1 - -3. Let h(l) = a*u(l) + 6*f(l). Factor h(b).
2*b*(b - 1)**3*(b + 1)
Suppose 0 = -3*f + 403 - 397. Find m such that 0 + 2/9*m**4 + 2/9*m**f + 0*m - 4/9*m**3 = 0.
0, 1
Suppose -2*z - 120 = 3*z. Let m be 6/(-15) + z/(-35). Factor m*a**3 - 6/7*a**2 + 0 + 4/7*a.
2*a*(a - 2)*(a - 1)/7
Let p = 6 + 0. Suppose 0*j = -2*j + p. Solve -v**2 + 5 - 3*v + 0*v**2 + 2*v - j = 0.
-2, 1
Suppose 0*h = 4*h. Let n be 2 + h - 8/4. Find t such that 0*t**2 + n*t**2 - 2*t**2 = 0.
0
Let 11/3*n + 4/3*n**3 - 2/3 - 13/3*n**2 = 0. Calculate n.
1/4, 1, 2
Let j(m) be the second derivative of 5*m + 0 + 1/3*m**4 + 2*m**3 + 4*m**2. Factor j(k).
4*(k + 1)*(k + 2)
Suppose 3*c - 85 + 25 = 0. Suppose -3*o + c = 2*o - 5*v, -2*o = 4*v + 16. Factor 2/9*s + o - 2/9*s**2.
-2*s*(s - 1)/9
Let p(d) be the second derivative of d**4/3 - 2*d**3/3 - 4*d**2 - 9*d. Determine u so that p(u) = 0.
-1, 2
Factor -886*r**2 - 32 + 894*r**2 - 28*r**3 + 180*r - 68*r.
-4*(r - 2)*(r + 2)*(7*r - 2)
Let t be -7 + -1 - (-92)/11. Factor 0*u + 0 + 0*u**2 + 2/11*u**5 + 0*u**3 - t*u**4.
2*u**4*(u - 2)/11
Let q(u) be the third derivative of -3*u**2 + 1/336*u**8 + 1/30*u**5 + 0 - 1/24*u**4 + 0*u**3 + 0*u**6 + 0*u - 1/105*u**7. Factor q(f).
f*(f - 1)**3*(f + 1)
Let z(i) = -2*i + 12. Let t be z(7). Let s(a) = -a**3 - a. Let y(k) = 4*k**3 - 4*k**2 + 4. Let v(h) = t*s(h) - y(h). Factor v(g).
-2*(g - 2)*(g - 1)*(g + 1)
Suppose -2*n - 18 = -4*n - 3*q, -2*q = 5*n - 23. Let 2/3*w**n + 2*w - 2/3 - 2*w**2 = 0. Calculate w.
1
Let w(q) be the second derivative of 2*q**7/7 - 16*q**6/15 + 7*q**5/5 - 2*q**4/3 + 2*q. What is t in w(t) = 0?
0, 2/3, 1
Let q(s) be the third derivative of s**6/240 - 3*s**5/40 + 9*s**4/16 - 9*s**3/4 + 2*s**2. Factor q(h).
(h - 3)**3/2
Let y(v) be the second derivative of v**4/15 + 4*v**3/3 + 10*v**2 + 16*v. Determine w, given that y(w) = 0.
-5
Find t such that t**4 + 2*t**4 - t**4 - 3*t**4 - 1 + 2*t**2 = 0.
-1, 1
Let d(v) be the third derivative of -v**9/15120 + v**8/1680 - v**7/504 + v**6/360 - v**4/12 + v**2. Let c(m) be the second derivative of d(m). Factor c(w).
-w*(w - 2)*(w - 1)**2
Let i = -24/29 - -226/203. Determine b, given that -2*b + 46/7*b**3 - i - 32/7*b**5 - 2*b**2 + 16/7*b**4 = 0.
-1, -1/4, 1
Let h = 91/460 + 6/115. Let -1/4*g**4 + 0 - h*g**3 + 0*g**2 + 0*g = 0. Calculate g.
-1, 0
Let m(y) be the third derivative of -1/60*y**4 + 0*y + 0*y**5 - 1/30*y**3 + 1/1050*y**7 - 3*y**2 + 1/300*y**6 + 0. Factor m(q).
(q - 1)*(q + 1)**3/5
Let u(k) be the third derivative of -k**5/20 + k**4/8 - 8*k**2. Factor u(n).
-3*n*(n - 1)
Factor -7/6*w + 1/2*w**2 - 1.
(w - 3)*(3*w + 2)/6
Let w = -16 + 0. Let t be w/(-6) + (-2)/3. Factor -4 + 8*b**t - 8*b**3 - 6*b**3 + 4*b**2 + 4*b**4 + 6*b - 4*b.
2*(b - 2)*(b - 1)**2*(2*b + 1)
Let k(y) be the third derivative of 0*y + 1/40*y**6 + 1/336*y**8 + 2*y**2 + 0 + 0*y**3 + 0*y**4 - 1/70*y**7 - 1/60*y**5. Factor k(w).
w**2*(w - 1)**3
Let u(c) be the first derivative of 2*c**3/15 + c**2/5 - 7. Determine b so that u(b) = 0.
-1, 0
Let q be -2 - (-1)/(-4)*-10. Let k(i) be the first derivative of 0*i + q*i**2 - 1/3*i**3 + 2. Factor k(r).
-r*(r - 1)
Let y(u) be the third derivative of 1/30*u**5 + 1/24*u**4 + 0*u + 0 + 1/120*u**6 + 0*u**3 - 5*u**2. Factor y(b).
b*(b + 1)**2
Let k(f) = -8*f**5 + 8*f**4 - 9*f**2 - 9*f - 9. Let q(p) = p**5 - p**4 + p**2 + p + 1. Let j(v) = 2*k(v) + 18*q(v). Determine h, given that j(h) = 0.
0, 1
Let o(k) = -52*k**2 + 136*k. Let l(v) = 8*v**2 - 21*v. Let m(z) = -32*l(z) - 5*o(z). Solve m(j) = 0 for j.
0, 2
Let p = 2/201 + 392/1005. Suppose 0*t + p*t**2 + 0 = 0. What is t?
0
Let a(h) be the third derivative of -h**6/120 - h**5/30 - h**4/24 - 2*h**2. What is s in a(s) = 0?
-1, 0
Suppose -4*s + 6 = -m, -4*s - 2*m + 2 = -5*m. Suppose 0 + 1/2*c + 3/2*c**s = 0. Calculate c.
-1/3, 0
Let k(i) be the second derivative of i**4/18 - 8*i**3/3 + 48*i**2 - 16*i. Factor k(q).
2*(q - 12)**2/3
Let k be -5 + (-94)/(-18) + (-8)/(-18). What is n in 2/3*n - k - 2/3*n**3 + 2/3*n**2 = 0?
-1, 1
Suppose 4 - 9 = -u. Let n be u/5*(-4)/(-18). What is y in 4/9*y + n + 2/9*y**2 = 0?
-1
Let s(b) = -3*b**2 + 11*b + 9. Let n = 2 - 12. Let c(u) = 1 - 3*u**2 + 3 + 2*u**2 + 5*u. Let i(f) = n*c(f) + 4*s(f). Factor i(q).
-2*(q + 1)*(q + 2)
Let b = 71/1290 - -1/86. Let t(r) be the third derivative of -2*r**2 - 1/30*r**4 - 7/150*r**5 - 1/75*r**6 + 0*r + 0 + b*r**3. Determine k, given that t(k) = 0.
-1, 1/4
Let i be (0 - 1)*9/(-3). Suppose 0 = -i*v - 0*v + 6. Find o such that 5*o**3 - 2*o**4 - 6*o**5 + 0*o**5 + 2*o**v + o**3 = 0.
-1, -1/3, 0, 1
Let y = 277/6 + -46. Let v(g) be the first derivative of 2/9*g**3 - y*g**4 + 2/45*g**5 + 0*g - 1/9*g**2 - 3. Determine t, given that v(t) = 0.
0, 1
Let a(o) be the second derivative of o**7/483 - 2*o**6/345 + o**5/230 + 2*o - 11. Factor a(k).
2*k**3*(k - 1)**2/23
Let a(t) = t**2 + 2 - 6*t + 3*t + 5*t. Let y be a(-2). Factor -3*r**3 + 2*r**2 + 3*r**4 + 3*r**5 + 3*r**2 - 8*r**y.
3*r**2*(r - 1)*(r + 1)**2
Let y(m) be the first derivative of -5*m**4/4 + 5*m**3/3 - 35. Suppose y(x) = 0. What is x?
0, 1
Find b such 