/9*d**4.
-2*(d - 1)**3*(5*d - 2)/9
Let v(d) be the third derivative of 2*d**6/15 - 2*d**5/5 + 3*d**4/8 - d**3/6 - d**2. Factor v(f).
(f - 1)*(4*f - 1)**2
Let t(g) = -14*g**2 - 11*g + 3. Let n(v) = 5*v**2 + 4*v - 1. Let m(x) = -11*n(x) - 4*t(x). Factor m(y).
(y - 1)*(y + 1)
Suppose 0 = -0*b + 5*b. Find n, given that 2/7*n + b + 2/7*n**2 = 0.
-1, 0
Factor 48*p**4 + 288*p**2 + p**4 + 224*p**3 + 12 + 48*p**2 + 100*p - 73*p**2.
(p + 1)*(p + 3)*(7*p + 2)**2
Let b(x) = -x**4 + x**2 + x + 1. Let k(i) = 4*i**5 - 6*i**4 - 8*i**3 + 30*i**2 - 30*i + 6. Let u(v) = -2*b(v) - k(v). Factor u(w).
-4*(w - 1)**4*(w + 2)
Factor 0 - 26/9*u**2 - 4/3*u + 10/9*u**3.
2*u*(u - 3)*(5*u + 2)/9
Let y be 2*6*(-6)/(-45). Let t = -27/20 + y. Factor -t*j**2 + 0*j + 1/4.
-(j - 1)*(j + 1)/4
Let v(x) be the third derivative of -3*x**5/70 - 25*x**4/84 + 2*x**3/7 + 8*x**2. Factor v(l).
-2*(l + 3)*(9*l - 2)/7
Suppose 0*t + 5*t = 0. Let b(j) be the third derivative of 1/420*j**6 - 1/210*j**5 + 0*j**3 + 0 + t*j + 0*j**4 + 2*j**2. Solve b(g) = 0 for g.
0, 1
Suppose -5*i + 14*i = 36. Let d(r) be the third derivative of 0*r**5 + 1/390*r**6 + 1/39*r**3 + 0*r - 1/1365*r**7 - i*r**2 - 1/78*r**4 + 0. Factor d(o).
-2*(o - 1)**3*(o + 1)/13
Let q(p) be the first derivative of p**7/14 - p**6/10 - 3*p**5/20 + p**4/4 + p - 3. Let i(o) be the first derivative of q(o). Find h, given that i(h) = 0.
-1, 0, 1
Let k(c) be the third derivative of 0 + 3/20*c**5 - 1/3*c**3 + 3*c**2 + 0*c + 7/24*c**4. Let k(z) = 0. What is z?
-1, 2/9
Let u(b) = -b**3 - 13*b**2 + 13*b - 14. Let p be u(-14). Factor -2/9*w**4 + 0*w + 0*w**3 + p - 2/9*w**5 + 0*w**2.
-2*w**4*(w + 1)/9
Let l(o) = 2*o**5 - 10*o**4 + 4*o**3 + 4*o**2 + 4. Let f(x) = -x**5 + 9*x**4 - 3*x**3 - 5*x**2 - 3. Let w(b) = -4*f(b) - 3*l(b). Factor w(p).
-2*p**2*(p - 1)*(p + 2)**2
Let s(z) be the first derivative of z**3 - 3*z**2/2 - 6*z + 1. Find q, given that s(q) = 0.
-1, 2
Let k(t) = t**2 - 8*t - 63. Let l be k(-5). Factor 8*z - 8/3 + 4*z**3 - 2/3*z**4 - 26/3*z**l.
-2*(z - 2)**2*(z - 1)**2/3
Suppose 4*i + 8 = -4*f, -2*f + 6*i = 7*i - 1. Factor 0 + 0*h**2 - 2/5*h**f + 2/5*h.
-2*h*(h - 1)*(h + 1)/5
Suppose -3/5*y**2 - 3/5*y**3 + 3/5*y + 3/5 = 0. Calculate y.
-1, 1
Suppose -5 = -3*p + 7. Factor -v**2 - 2*v**2 - 1 + p*v**2.
(v - 1)*(v + 1)
Let t(l) be the first derivative of 8/21*l**3 + 4/7*l + 5/7*l**2 + 5 + 1/14*l**4. Factor t(x).
2*(x + 1)**2*(x + 2)/7
Let k(x) = -x**3 - 1. Let r(c) = -4*c**4 - 12*c**3 + 4*c**2 + 4*c - 8. Let v(o) = -8*k(o) + r(o). Factor v(h).
-4*h*(h - 1)*(h + 1)**2
Factor 4/9*i**2 + 0*i + 0.
4*i**2/9
Let b = -207 + 209. Find t, given that -2/5*t**4 + 0*t + 0 - 2/5*t**b - 4/5*t**3 = 0.
-1, 0
Let y(x) be the second derivative of -1/240*x**6 + 0*x**5 + 3*x - 3/2*x**2 + 1/48*x**4 + 0*x**3 + 0. Let f(p) be the first derivative of y(p). Factor f(o).
-o*(o - 1)*(o + 1)/2
Suppose 0*h**4 + 2/9*h**5 + 0*h - 2/9*h**3 + 0 + 0*h**2 = 0. What is h?
-1, 0, 1
Let d(b) be the first derivative of b**4/2 - 8*b**3/3 + 5*b**2 - 4*b + 5. Solve d(j) = 0.
1, 2
Find j such that 1/3*j**3 - 1/6*j**4 + 1/6 + 0*j**2 - 1/3*j = 0.
-1, 1
Suppose 3*d = 3*l + 24, 3*d = -0*d - 3*l. Factor -h**2 + 0 - 1 + 3*h + 2*h**2 - d*h + h**3.
(h - 1)*(h + 1)**2
Let x(v) be the third derivative of -v**5/210 + v**4/84 + 2*v**3/21 + 7*v**2. Solve x(g) = 0 for g.
-1, 2
Let k(m) = -m + 1. Let o be k(1). Let t(y) be the first derivative of 0*y + o*y**2 - 1 + 1/16*y**4 + 1/12*y**3. Determine f so that t(f) = 0.
-1, 0
Let j(u) be the third derivative of u**5/60 - u**4/6 + 2*u**3/3 + u**2. What is t in j(t) = 0?
2
Let m(t) be the third derivative of -t**6/80 + 3*t**4/16 - t**3/2 - 2*t**2. Factor m(x).
-3*(x - 1)**2*(x + 2)/2
Let k(g) be the third derivative of 3/112*g**8 - g**2 + 2/15*g**6 - 1/15*g**5 + 0*g**3 + 0 + 0*g - 1/10*g**7 + 0*g**4. Factor k(x).
x**2*(x - 1)*(3*x - 2)**2
Let y be (0 - (1 - 0)) + 243/135. Solve -y*v + 2/5*v**3 + 0 + 2/5*v**2 = 0 for v.
-2, 0, 1
Let v(l) = -8*l**2 - l + 6. Let k(p) = -23*p**2 - 3*p + 17. Let h = 11 - 5. Let a(r) = h*k(r) - 17*v(r). Factor a(f).
-f*(2*f + 1)
Let o be (27/12 - 2) + 28/16. Let n(f) be the first derivative of 1/9*f**3 + 0*f**o - 2 - 1/3*f. Factor n(w).
(w - 1)*(w + 1)/3
Let d be -4*(58/8 + -2). Let l be d/(-12)*(-2)/(-14). Factor l*y - 1/4*y**2 + 1/2.
-(y - 2)*(y + 1)/4
Let j be (-1)/7 - 345/(-161). What is d in -8/7 + 2*d**3 + 40/7*d - 46/7*d**j = 0?
2/7, 1, 2
Let q(k) = k + 13. Let n be q(-13). Let s(h) be the first derivative of 0*h**2 - 1/20*h**5 - 2 + 0*h**3 + n*h - 1/16*h**4. What is u in s(u) = 0?
-1, 0
Let j = -1611/5 + 323. Find u, given that 24/5*u + 36/5 + j*u**2 = 0.
-3
Suppose 0 = -5*u + u - 12, -2*o - 2*u - 8 = 0. Let h be 3/4*(5 + o). Suppose 14/9*b**4 + 4/9 + 10/9*b**h - 10/9*b - 2*b**2 = 0. What is b?
-1, 2/7, 1
Let i be ((-3)/(-2))/(9/24). Let d be (0 + 0)/((-14)/(-7)). Factor -2 - 3*a**3 + a**4 + 0*a + a + 2*a + d*a**i + a**2.
(a - 2)*(a - 1)**2*(a + 1)
Let a(r) be the first derivative of 0*r**2 + 1/12*r**3 + 0*r**4 + 0*r - 6 - 1/20*r**5. Let a(l) = 0. What is l?
-1, 0, 1
Factor -1/2 - 1/4*z**3 - 5/4*z - z**2.
-(z + 1)**2*(z + 2)/4
Let v = 318 - 3494/11. Suppose 4/11*l**4 + v - 8/11*l**2 - 14/11*l - 14/11*l**5 + 28/11*l**3 = 0. What is l?
-1, 2/7, 1
Factor 14/13 + 2/13*d**2 + 16/13*d.
2*(d + 1)*(d + 7)/13
Let d = 3 + -1. Let q = -40 - -40. Factor 2 - 1 + q + 1 - 2*b - 2*b**d + 2*b**3.
2*(b - 1)**2*(b + 1)
Let s(n) be the second derivative of n**6/2 - 7*n**5/4 - 95*n**4/12 - 25*n**3/6 + 10*n**2 + 31*n. What is p in s(p) = 0?
-1, 1/3, 4
Let h be (-49)/21*(-6)/21. Suppose -1/3*f**2 - 1/3 + h*f = 0. What is f?
1
Let s be (12/4 + -3)/1. Let u(i) be the third derivative of 0*i**5 + 0 + s*i**7 + i**2 + 0*i + 1/240*i**6 - 1/672*i**8 + 0*i**3 + 0*i**4. What is h in u(h) = 0?
-1, 0, 1
Let w = -1/39 - -119/78. Factor -1/2*l**3 + 1/2*l - w*l**2 + 1 + 1/2*l**4.
(l - 2)*(l - 1)*(l + 1)**2/2
Let u be 12/8*20/6. Find m such that -2*m**4 - 3*m**u + 3*m**3 + 5*m**4 + 0*m**3 + 3*m**3 = 0.
-1, 0, 2
Factor 9/4*p**2 - 3 + 0*p + 3/4*p**3.
3*(p - 1)*(p + 2)**2/4
Let d(v) be the second derivative of -1/42*v**4 + 1/140*v**5 + 0 - 6*v + 0*v**2 + 1/42*v**3. Factor d(q).
q*(q - 1)**2/7
Factor 734*z**2 + 2*z**4 - 4*z - 752*z**2 - 4*z + 24.
2*(z - 3)*(z - 1)*(z + 2)**2
Let o = -7/66 - 889/330. Let z = o - -52/15. Factor -14/3*l + 4/3 + 6*l**2 - 10/3*l**3 + z*l**4.
2*(l - 2)*(l - 1)**3/3
Let v = -46 + 10. Let q be v/(-15) - (-2)/(-5). Let -2*j**q + 1 + 1 + 2*j - 2*j**3 + 0 = 0. What is j?
-1, 1
Suppose 3*x - 21 = x + 5*j, 2*j - 22 = -3*x. Suppose -3*y + 14 = x. Factor 1/4*p**4 + 0 + 1/4*p**3 - 1/4*p - 1/4*p**y.
p*(p - 1)*(p + 1)**2/4
Let a(q) be the second derivative of -q**7/231 + q**6/165 - 5*q. Let a(v) = 0. Calculate v.
0, 1
Let p(a) be the third derivative of 0*a + 5/84*a**4 + 2/105*a**5 + 2/21*a**3 + 1/420*a**6 + 0 + 2*a**2. Suppose p(r) = 0. What is r?
-2, -1
Let f(l) be the first derivative of 3*l**5/20 - 3*l**3/2 - 3*l**2 - 9*l/4 + 40. Factor f(w).
3*(w - 3)*(w + 1)**3/4
Let q be 4/(-3*(-1)/6). Suppose 4*x = 2*x + q. Factor -4*b**3 + 2*b - 4*b - b**x + 0*b - 5*b**2.
-b*(b + 1)**2*(b + 2)
Let i = -8 - -17. Suppose i*k - k**2 + 2 - 2 - 2*k**2 = 0. What is k?
0, 3
Let i(y) be the first derivative of y**5/30 + y**4/12 - 2*y**3/3 + 3*y**2/2 - 2. Let q(a) be the second derivative of i(a). Factor q(v).
2*(v - 1)*(v + 2)
Let h(l) be the first derivative of -l**6/70 + l**4/14 - 3*l**2/14 - l - 4. Let r(w) be the first derivative of h(w). Let r(z) = 0. Calculate z.
-1, 1
Let p(t) be the third derivative of -1/336*t**8 + 0 - 1/120*t**6 + 0*t - 1/105*t**7 + 0*t**4 + 0*t**3 + 0*t**5 - t**2. Determine j, given that p(j) = 0.
-1, 0
Let g(c) be the second derivative of -1/15*c**4 + 0*c**2 + 0*c**5 + 0 - 1/105*c**7 - 2*c + 1/15*c**3 + 2/75*c**6. Factor g(w).
-2*w*(w - 1)**3*(w + 1)/5
Let b(u) be the third derivative of 0*u**4 + 0*u - 1/300*u**6 - 5*u**2 + 0 - 1/300*u**5 - 1/1050*u**7 + 0*u**3. Let b(r) = 0. Calculate r.
-1, 0
Let o(u) be the first derivative of -u**7/420 - u**6/180 + u**5/30 - u**3 + 3. Let d(g) be the third derivative of o(g). Factor d(p).
-2*p*(p - 1)*(p + 2)
Let q(z) = 19*z**4 - 13*z**3 + 7*z**2 + 13. Let t(v) = 9*v**4 - 6*v**3 + 3*v**2 + 6. Let a(h) = 6*q(h) - 13*t(h). Find m such that a(m) = 0.
-1, 0, 1
Find v, given that 100/13 + 