nd a, given that p(a) = 0.
-2, 0, 1/4
Let x(y) be the third derivative of -y**7/560 - y**6/240 + y**5/80 + y**4/16 + 5*y**3/6 - y**2. Let t(h) be the first derivative of x(h). Solve t(i) = 0 for i.
-1, 1
Suppose -u = -5*t - 30, 11 = -2*u + 1. Let g(h) = -3*h**3 + 6*h**2 - 4*h. Let i(j) = -7*j**3 + 11*j**2 - 7*j. Let l(s) = t*g(s) + 4*i(s). Factor l(d).
-d**2*(7*d - 2)
Let d(z) = 54*z**3 - 108*z**2 - 14*z + 12. Let g(n) = 36*n**3 - 72*n**2 - 9*n + 8. Let k(h) = 5*d(h) - 8*g(h). Factor k(f).
-2*(f - 2)*(3*f - 1)*(3*f + 1)
Suppose 0 = -c - 2, 5*r + 5*c - 10 = 0. Factor -7*a**2 + 9*a**2 - r*a**3 + a + a.
-2*a*(a - 1)*(2*a + 1)
Let w(c) = 6*c**2 + 11*c + 5. Let h(y) = -2*y**2 - 4*y - 2. Let q(l) = 14*h(l) + 4*w(l). Suppose q(f) = 0. Calculate f.
-2, -1
Let l = -159/2 - -493/6. Let l*j**3 - 8/9*j**2 + 4/9 - 10/9*j = 0. Calculate j.
-2/3, 1/2
Let w = 0 + -1. Let x(f) = 3*f**4 - 7*f**4 - 12*f**3 + 2*f**3 + 8*f**2. Let m(i) = i**4 + i**3 - i**2. Let n(r) = w*x(r) - 6*m(r). Factor n(b).
-2*b**2*(b - 1)**2
Let k(j) be the third derivative of -j**6/420 - j**5/105 - j**4/84 + 5*j**2. Solve k(b) = 0 for b.
-1, 0
Let x(f) be the first derivative of -f**9/21168 + f**7/5880 - 4*f**3/3 - 3. Let u(n) be the third derivative of x(n). Suppose u(c) = 0. What is c?
-1, 0, 1
Factor -3*z**3 - z**4 + 4*z**4 + 5*z - 5*z.
3*z**3*(z - 1)
Let s(v) be the third derivative of v**5/20 - 3*v**4/8 + v**3 - 4*v**2. Factor s(i).
3*(i - 2)*(i - 1)
Factor -8/7 - 4/7*j**2 + 12/7*j.
-4*(j - 2)*(j - 1)/7
Let b(a) be the third derivative of -a**7/35 - a**6/60 + 4*a**5/15 - a**4/3 + 26*a**2. Solve b(z) = 0.
-2, 0, 2/3, 1
Suppose 5*n + 6*a + 2 = 4*a, -1 = -n + a. Suppose -4*o = -n*o. Factor -8*s**3 + o - 4*s**2 - 1/2*s.
-s*(4*s + 1)**2/2
Let a be (-5)/25 + 26/30. Find k, given that -4/3*k - a - 2/3*k**2 = 0.
-1
Let r(h) = -2*h**3 - 7*h**2 - 19*h - 8. Let x(y) = 2*y**3 + 6*y**2 + 20*y + 8. Let m(u) = 4*r(u) + 3*x(u). What is b in m(b) = 0?
-2, -1
Let l = 30 + -21. Determine b, given that 5 + b**3 + 11*b**3 - 8 - l*b = 0.
-1/2, 1
Let c be 3/21 - 3/(-7). Factor -10/7*d**4 + 0 + c*d**2 + 0*d + 6/7*d**3.
-2*d**2*(d - 1)*(5*d + 2)/7
Let k(g) = 23*g + 396. Let n be k(-17). Suppose 0*q - 6*q**3 - 57/4*q**4 + 0 + 3*q**2 - 21/4*q**n = 0. Calculate q.
-2, -1, 0, 2/7
Let u be (110/44)/((-1)/2). Let d be 6/(-30) - 1/u. Find a, given that d + 0*a**2 - 2/3*a**3 + 0*a + 2/3*a**4 = 0.
0, 1
Factor -2*i**2 + 4/5*i + 0.
-2*i*(5*i - 2)/5
Suppose -3*w + 33 = -3*j, -2*w - 5*j + 0*j = -29. Factor -15*q**2 + q + w*q**2 - 3*q**3 - q.
-3*q**2*(q + 1)
Let n(r) be the second derivative of r**7/2016 + r**6/1440 - r**4/6 + 7*r. Let i(p) be the third derivative of n(p). Factor i(o).
o*(5*o + 2)/4
Let u(g) = -g**4 - g**3 + g. Let b be (-18)/10 - 2/10. Let x(a) = 16*a**5 - 10*a**4 - 18*a**3 + 12*a**2 + 2*a. Let t(c) = b*u(c) - x(c). Solve t(i) = 0 for i.
-1, -1/4, 0, 1
Suppose -49*h + 40 = -39*h. Factor 1/2*s**2 - 3*s + 2 + 3/4*s**3 - 1/4*s**h.
-(s - 2)**2*(s - 1)*(s + 2)/4
Let q be 9/6 + 102/(-20) + 4. Let -q*f + 3/5*f**2 - 3/5*f**4 + 0 + 7/5*f**3 - f**5 = 0. Calculate f.
-1, 0, 2/5, 1
Let k(t) = t**5 + t**4 - t**3 + t**2. Let b(f) = 4*f**5 + 2*f**4 - 8*f**3 + 6*f**2. Let m(o) = b(o) - 2*k(o). Solve m(h) = 0.
-2, 0, 1
Determine i, given that 0 - 20/7*i - 2*i**2 - 2/7*i**3 = 0.
-5, -2, 0
Let m be (94/48 + -2)*-2. Let k(w) be the second derivative of -1/3*w**3 + 0 - 1/2*w**2 - m*w**4 + 2*w. Let k(o) = 0. Calculate o.
-1
Let f(h) be the third derivative of -1/2016*h**8 + 1/48*h**4 + 1/180*h**5 + 1/36*h**3 - 1/360*h**6 + 0*h + 0 + h**2 - 1/420*h**7. Factor f(v).
-(v - 1)*(v + 1)**4/6
Let i = 1081 + -1078. Factor -1/6*o**i + 1/6 + 1/6*o - 1/6*o**2.
-(o - 1)*(o + 1)**2/6
Let r be (-1)/(-2) + (-14)/4. Let v = r + 4. Factor s**5 + s**4 - v - 3 - s**3 - s**2 + 4.
s**2*(s - 1)*(s + 1)**2
Let t(f) = 10*f**3 - 11*f**2 + f + 9. Let s(r) = r**3 - r**2 + 1. Let a(v) = 36*s(v) - 4*t(v). Factor a(p).
-4*p*(p - 1)**2
Let h be -1*(-2*1)/(3 - 2). Find m such that -1/5 - 1/5*m**3 - 3/5*m**h - 3/5*m = 0.
-1
Let d(v) be the third derivative of -1/630*v**7 + 0*v**4 + 2*v**2 + 0*v + 1/180*v**5 + 0*v**6 + 0*v**3 + 0. Factor d(g).
-g**2*(g - 1)*(g + 1)/3
Let g(f) be the second derivative of -4*f + 0*f**2 + 0 + 1/3*f**3 - 1/6*f**4 - 1/5*f**5. Find d, given that g(d) = 0.
-1, 0, 1/2
Let y(c) be the third derivative of c**7/70 - c**5/10 + c**3/2 - 29*c**2. What is b in y(b) = 0?
-1, 1
Let h(n) be the first derivative of n**6/360 + n**5/180 - n**4/36 + 4*n**2 - 7. Let f(x) be the second derivative of h(x). Factor f(s).
s*(s - 1)*(s + 2)/3
Suppose -5*b + 7*x = 2*x - 20, 4*b = -4*x + 24. Let m(k) be the second derivative of 0 + k + 1/54*k**4 + 0*k**2 + 1/90*k**b + 0*k**3. Factor m(v).
2*v**2*(v + 1)/9
Let k(z) = 4*z**3 - 5*z**2 + 3*z + 12. Let x be (20/(-15))/((-2)/(-3)). Let n(t) = 3*t**3 - 5*t**2 + 3*t + 11. Let w(m) = x*k(m) + 3*n(m). Factor w(g).
(g - 3)**2*(g + 1)
Let f(q) = q - 9. Let i be f(10). Factor -15*p + 6*p**3 + 0*p**2 + 4 - i + 18*p**2 - 21*p**4 + 9*p**5.
3*(p - 1)**3*(p + 1)*(3*p - 1)
Let f be (16/6)/2*-3. Let t = 7 + f. Factor t*z - 2*z**4 + z**3 - 3*z.
-z**3*(2*z - 1)
Let q be (125/10 + -13)*(-2)/5. Factor -1/5*f**3 + 1/5*f**4 + 0 - q*f**2 + 1/5*f.
f*(f - 1)**2*(f + 1)/5
Let x be 1*10/2*1. Let -3*o**4 - 1 - x*o**2 - 1 + o + 10*o**2 - o**3 = 0. Calculate o.
-1, 2/3, 1
Suppose 0 = 13*i + 12*i. Factor 0*r + 15/4*r**4 + 0 + i*r**2 - 3/2*r**3.
3*r**3*(5*r - 2)/4
Let y = -28 + 28. Suppose y = -3*i + u - 1 + 4, 5*u = 2*i - 15. Factor -2/3*j + 7/3*j**3 - 5/3*j**2 + i.
j*(j - 1)*(7*j + 2)/3
Let a(i) be the second derivative of i**8/43680 - i**7/5460 - 11*i**4/12 + 9*i. Let j(c) be the third derivative of a(c). Suppose j(p) = 0. Calculate p.
0, 3
Let f = 6 + 0. Solve -5*k + 0*k + 2*k - 4*k**3 + f*k**2 + k**3 = 0 for k.
0, 1
Suppose 0 = -5*d - a + 15, 4*a + 19 = 5*d - 21. Find f, given that -d*f - 4 + 1 + 2 + 2*f**2 + 3 = 0.
1
Suppose -2*g + 6 = 4*u, g - 3*u + u = 3. Let 4 - 2 + g*f + 3*f**2 + 2*f**3 - f**3 - 1 = 0. Calculate f.
-1
Let u(x) = -x**4 + 4*x**3 - 6*x**2 + 3*x + 7. Let p = 23 + -16. Let t(q) = -q**4 + 2*q**3 - 3*q**2 + 2*q + 4. Let v(o) = p*t(o) - 4*u(o). Solve v(n) = 0 for n.
-1, -2/3, 0, 1
Factor -32*s**3 + 7*s**2 + 8*s + 5*s**2 - 29*s**3 - 10 + 53*s**3 - 2*s**4.
-2*(s - 1)**2*(s + 1)*(s + 5)
Let z = -2 - -19. Let w(y) = -3*y**4 - 6*y**3 + 17*y + 17. Let t(d) = -d**4 - 2*d**3 + 6*d + 6. Let l = 6 + -12. Let n(x) = l*w(x) + z*t(x). Factor n(a).
a**3*(a + 2)
Let c(f) be the third derivative of 1/210*f**7 - f**2 + 0*f**3 + 0*f**4 + 0*f + 1/60*f**6 + 1/60*f**5 + 0. Solve c(k) = 0.
-1, 0
Let p = 8 + -7. Let i be 3 + (0 - p)*3. Factor i + 0*o + 2/7*o**2.
2*o**2/7
Let t(j) be the first derivative of 5*j**3/3 - 31. Factor t(a).
5*a**2
Find w such that -53*w**3 - 7*w**3 - 32*w**2 + 200*w**4 - 16*w**2 - 197*w + 213*w = 0.
-1/2, 0, 2/5
Suppose -32 = 5*r + 8. Let u be (-6)/(-4) - 4/r. Solve 0*v**2 + 3*v**u + 6*v - 6*v**4 - 4*v**3 - 2*v**5 + 2 + v**2 = 0.
-1, 1
Factor 2/9*w**3 + 0 + 0*w**2 - 2/9*w.
2*w*(w - 1)*(w + 1)/9
Let v(u) be the third derivative of 3*u**5/110 + 4*u**4/33 - 4*u**3/33 - 18*u**2. Solve v(h) = 0 for h.
-2, 2/9
Let k(o) be the third derivative of o**6/660 + 2*o**5/165 + 5*o**4/132 + 2*o**3/33 + 5*o**2. Determine l, given that k(l) = 0.
-2, -1
Let m(t) be the third derivative of 3*t**2 - 1/30*t**6 + 0*t**5 + 1/3*t**3 + 0*t - 1/105*t**7 + 1/6*t**4 + 0. What is z in m(z) = 0?
-1, 1
Find c such that 5*c**2 - 4 + 10*c - 14*c + 4*c**3 - c**2 = 0.
-1, 1
Let c = -3 - 5. Let t be c/(-28) - 16/(-42). Factor 0 + t*f**2 + 4/3*f.
2*f*(f + 2)/3
Let w(t) be the third derivative of -1/150*t**5 + 0 + 0*t**4 + 0*t**3 + 0*t - 5*t**2 - 1/300*t**6. Find o, given that w(o) = 0.
-1, 0
Let n(d) be the first derivative of d**4 + 8*d**3/3 - 14. Let n(q) = 0. What is q?
-2, 0
Let m(s) be the first derivative of s**3/12 - s/4 - 3. Factor m(f).
(f - 1)*(f + 1)/4
Let d be (6/10)/(6/4). Let i = 443 + -443. Factor 8/5*n**2 - 8/5*n + i - d*n**3.
-2*n*(n - 2)**2/5
Let v(u) be the second derivative of 1/18*u**3 + 1/9*u**4 + 1/12*u**5 + 1/45*u**6 + 4*u + 0 + 0*u**2. Factor v(m).
m*(m + 1)**2*(2*m + 1)/3
Let l(q) be the third derivative of 1/70*q**5 - 4/21*q**3 + 0 + 1/168*q**6 + 4*q**2 + 1/1470*q**7 - 1/42*q**4 + 0*q. Factor l(p).
(p - 1)*(p + 2)**3/7
Supp