*h**3 - 3 + 0*h - 1/4*h**4 - 1/15*h**5 - 1/180*h**6 + h**2. Let f(x) be the second derivative of n(x). Factor f(w).
-2*w*(w + 3)**2/3
Let t(w) be the third derivative of -w**5/20 - 3*w**4/28 + 20*w**3/7 + 323*w**2. Factor t(y).
-3*(y - 2)*(7*y + 20)/7
Let f(i) = -4*i**3 + 4*i**2 - i - 5. Suppose 10 = 3*x + 2*t, 3*t = 5*x - 19 - 4. Let k(m) = m**3 + m + 1. Let y(g) = x*f(g) + 20*k(g). Let y(l) = 0. What is l?
-2, 0
Let z(a) be the second derivative of a**6/10 - a**5/5 - 7*a**4/12 - 20*a. Let v(n) = -6*n**4 + 9*n**3 + 15*n**2. Let l(s) = 4*v(s) + 9*z(s). Factor l(u).
3*u**2*(u - 1)*(u + 1)
Let t(l) = -2*l + 29. Let s be t(14). Let y be 6 - (0 + s)/1. Factor 0*f + 0 - 6/11*f**4 - 2/11*f**y - 2/11*f**2 - 6/11*f**3.
-2*f**2*(f + 1)**3/11
Let g(q) be the second derivative of q**6/75 - 3*q**5/50 + q**4/15 + 26*q - 2. Solve g(r) = 0.
0, 1, 2
Let q = -257 + 1029/4. Let w(o) be the second derivative of -1/30*o**6 + 0 - o**2 - q*o**5 - 3/4*o**4 + 5*o - 7/6*o**3. Factor w(s).
-(s + 1)**3*(s + 2)
Let u(o) = 10*o**3 - 20*o**2 + 5*o + 15. Let t(z) = -z**3 + z**2 - z + 1. Suppose 14*k = 19*k - 5. Let h(r) = k*u(r) + 5*t(r). Factor h(m).
5*(m - 2)**2*(m + 1)
Let c(d) be the third derivative of d**7/70 - 7*d**6/20 + 69*d**5/20 - 17*d**4 + 40*d**3 + 130*d**2. Factor c(i).
3*(i - 5)*(i - 4)**2*(i - 1)
Let k(c) be the third derivative of -11/480*c**6 + 1/12*c**3 + 1/10*c**5 + 15 + 0*c - 5/32*c**4 + 2*c**2. Factor k(f).
-(f - 1)**2*(11*f - 2)/4
Solve 88/3*x + 968/3 + 2/3*x**2 = 0 for x.
-22
Let b(i) be the third derivative of -1/210*i**7 + 0 - 1/6*i**3 + 1/30*i**6 + 1/6*i**4 + 12*i**2 - 1/10*i**5 + 0*i. Determine a, given that b(a) = 0.
1
Determine c, given that 2*c**4 + 33*c**2 + 84*c**3 + 2599*c - 7*c**5 - 2631*c + 55*c**2 + 0*c**4 = 0.
-2, 0, 2/7, 4
Factor -20*x**3 - 23*x - 5*x - 36*x**2 - 6*x**4 - 8 - 5*x**4 + 7*x**4.
-4*(x + 1)**3*(x + 2)
Let g(u) be the third derivative of -u**6/300 + u**5/150 - 6*u**2 + 8. Factor g(b).
-2*b**2*(b - 1)/5
Let p(w) be the first derivative of -w**8/84 + 2*w**7/21 - 4*w**6/15 + 4*w**5/15 + 6*w**2 + 5. Let v(o) be the second derivative of p(o). Factor v(g).
-4*g**2*(g - 2)**2*(g - 1)
Factor -338*z + 688*z - 344*z + z**2.
z*(z + 6)
Let c(b) be the first derivative of 4*b**6/15 - b**5/5 - 5*b**4/3 - 4*b**3/3 - 39*b - 16. Let d(h) be the first derivative of c(h). Solve d(r) = 0 for r.
-1, -1/2, 0, 2
Suppose -4*f + 13 - 4 = -3*t, 5*f - 5*t = 15. Let y(c) = -2*c - 1. Let x be y(-3). Factor f*n**2 + 3*n**3 + 3*n**4 - 4*n**2 - 3*n**x + n**2.
-3*n**2*(n - 1)**2*(n + 1)
Factor 288*u - 116162 - 732*u - 520*u - 2*u**2.
-2*(u + 241)**2
Suppose 8*p - 1/2*p**2 + 18 = 0. Calculate p.
-2, 18
Let j(k) be the second derivative of k**5/2 + k**4 - 12*k**3/5 + 8*k**2/5 - k - 3. What is u in j(u) = 0?
-2, 2/5
Let k(w) be the second derivative of w**7/189 - 2*w**6/45 + 2*w**5/15 - 5*w**4/27 + w**3/9 - 51*w + 5. Factor k(v).
2*v*(v - 3)*(v - 1)**3/9
Factor -z - 3*z + z**3 - 331 - 3*z**2 + 331.
z*(z - 4)*(z + 1)
Let p(a) be the first derivative of a**3/15 - 16*a**2/5 + 529. Factor p(t).
t*(t - 32)/5
Let m(p) = -p**2 + 15*p - 20. Let d be m(14). Let k be ((-21)/(-35))/(d/(-4)). Solve -8/5*a**2 + 0 - 8/5*a - k*a**3 = 0.
-2, 0
Let l(u) be the second derivative of -1/15*u**6 + 12*u + 0*u**5 + 0 - u**2 + 1/3*u**4 + 0*u**3. Suppose l(h) = 0. What is h?
-1, 1
Let g(w) be the first derivative of 4*w**3/3 - 106*w**2 + 208*w + 5. Suppose g(u) = 0. What is u?
1, 52
Factor 3*z**2 + 3*z**2 + 26239 - 3*z**2 + 2*z**2 - 1130*z + 37606.
5*(z - 113)**2
Let p = 589 - 586. Let f(s) be the second derivative of 0 + 2*s - 2/9*s**p + 0*s**2 + 1/3*s**4 + 2/45*s**6 - 1/5*s**5. Factor f(t).
4*t*(t - 1)**3/3
Find k, given that 6/13 + 10/13*k + 2/13*k**2 - 2/13*k**3 = 0.
-1, 3
Let l = 369/1267 + -1/181. Let a(z) be the first derivative of -2/7*z**4 + 0*z - l*z**2 + 2/35*z**5 - 4 + 10/21*z**3. Factor a(k).
2*k*(k - 2)*(k - 1)**2/7
Let q = 95261 - 1237254/13. Let n = -87 + q. Determine v, given that -n + 16/13*v - 10/13*v**2 + 2/13*v**3 = 0.
1, 2
Let a(d) be the first derivative of -11/4*d**4 + 0*d + 13 + 0*d**2 - 2/3*d**3. Factor a(z).
-z**2*(11*z + 2)
Let y(n) be the third derivative of n**7/14 - 17*n**6/24 + 19*n**5/12 + 35*n**4/8 - 15*n**3 - 129*n**2. Find h, given that y(h) = 0.
-1, 2/3, 3
Let s be 29/3 + (-2)/(-6). Suppose -4*l = l - s. Find h such that 0 + 2*h**3 + 6*h**2 - 3*h + 4*h + l + 5*h = 0.
-1
Let u be (-9*(-9)/81)/3. Let p(j) be the first derivative of 0*j + j**2 + 8 - 5/6*j**6 + u*j**3 - 13/5*j**5 - 9/4*j**4. Factor p(v).
-v*(v + 1)**3*(5*v - 2)
Factor -14*j + 0*j - 80 - 4*j**2 - 17*j - 17*j.
-4*(j + 2)*(j + 10)
Let y(l) be the third derivative of -l**6/80 - 7*l**5/40 - l**4/2 + 4*l**3 - 20*l**2 - 14. Determine x so that y(x) = 0.
-4, 1
Factor -3*f - 9/4*f**3 - 1/4*f**4 - 5*f**2 + 0.
-f*(f + 1)*(f + 2)*(f + 6)/4
Let q(s) be the first derivative of s**4/8 - s**3/2 + 2*s + 7. Factor q(m).
(m - 2)**2*(m + 1)/2
Let f(z) = z + 13. Let m(q) = -11*q + 20. Let g be m(3). Let b be f(g). Solve b - 2/7*s - 4/7*s**2 - 2/7*s**3 = 0 for s.
-1, 0
Let a(p) = -p**2 - p - 1. Let x = 1 + 1. Suppose -3*t = x*h - 25, -2*h = t - 6*t + 15. Let c(u) = -2*u**2 - u - 4. Let b(z) = t*a(z) - c(z). Factor b(y).
-(y + 1)*(3*y + 1)
Let f(y) be the third derivative of -y**8/2240 + y**7/840 + 3*y**4/2 - 35*y**2. Let b(c) be the second derivative of f(c). Factor b(q).
-3*q**2*(q - 1)
Suppose 0 = 32*r - 20 + 20. Determine o so that -2/11*o**3 - 4/11*o**4 + r + 0*o - 2/11*o**5 + 0*o**2 = 0.
-1, 0
Factor 2*a - 2*a**3 - 1/3*a**4 + 8/3*a**2 - 7/3.
-(a - 1)**2*(a + 1)*(a + 7)/3
What is a in 85*a**3 - 170*a**2 - 40 + 20*a + 17*a + 103*a - 15*a**4 = 0?
2/3, 1, 2
Let w(k) be the second derivative of -k**5/2 + 55*k**4/12 + 5*k**3 - 350*k. Factor w(q).
-5*q*(q - 6)*(2*q + 1)
Let v(j) = 50*j**2 - 25*j - 24. Let r(p) = -67*p**2 + 25*p + 24. Let z(u) = -3*r(u) - 4*v(u). Suppose z(i) = 0. What is i?
-24, -1
Determine q, given that 537*q**3 - 4*q**5 + 2*q**4 + 18*q**4 + 432 - 180*q**2 - 517*q**3 = 0.
-2, 3
Let d be ((-50)/(-40))/((855/72)/19). Factor 0 + 9*m - 3/5*m**d.
-3*m*(m - 15)/5
Factor -4*q**2 + 59*q - 28*q - 4 - 11*q - 12.
-4*(q - 4)*(q - 1)
Let x(g) = -g**3 - 4*g**2 + 4*g - 6. Let s be x(-6). Suppose 0 = 38*d - s*d. Factor 2/3*z - 2/3*z**2 + d.
-2*z*(z - 1)/3
Let g = -2074/5 + 420. Factor -2/5*i**5 + 70*i - 4*i**2 + g*i**4 - 92/5*i**3 + 50.
-2*(i - 5)**3*(i + 1)**2/5
Let b(s) = 25*s**4 + 126*s**3 + 116*s**2 - 24*s. Let k(j) = -17*j**4 - 84*j**3 - 77*j**2 + 16*j. Let u(a) = -5*b(a) - 8*k(a). Factor u(d).
d*(d + 2)**2*(11*d - 2)
Suppose 3*a - 30 = -3*a. Let u(o) = o**3 - 4*o**2 - 2*o - 13. Let h be u(a). Solve -4/13*d**h + 2/13*d**3 + 4/13*d**4 + 0 - 2/13*d**5 + 0*d = 0 for d.
-1, 0, 1, 2
Let t(d) be the second derivative of -d**6/15 - d**5/2 - 3*d**4/2 - 7*d**3/3 - 2*d**2 - 272*d + 1. Factor t(m).
-2*(m + 1)**3*(m + 2)
Solve 5*w**4 - 20 + 12*w + 3*w**2 + 16*w**2 + 13*w - 4*w**2 - 25*w**3 = 0.
-1, 1, 4
Let 0 - 1/8*j**2 - 3*j = 0. What is j?
-24, 0
Let w(q) = 2*q**3 - 2*q**2 - 2*q - 2. Let d(j) = -j**2. Let n be 138/33 - 4/22. Suppose 0 = k - n. Let c(o) = k*d(o) - w(o). Let c(u) = 0. What is u?
-1, 1
Find x, given that -154/3*x**3 - 245/6*x**4 + 2 + 28/3*x - 19/6*x**2 = 0.
-1, -2/5, -2/7, 3/7
Find w such that 4*w**2 + 2/9*w**5 + 40/9*w**4 + 74/9*w**3 + 0*w + 0 = 0.
-18, -1, 0
Let q(t) be the third derivative of -t**7/70 + t**6/20 + 3*t**5/20 - 5*t**2 - 3*t. Suppose q(l) = 0. Calculate l.
-1, 0, 3
What is m in 5*m**4 - 50*m + 7*m**5 + 303*m**3 - 2*m**5 - 378*m**3 + 115*m**2 = 0?
-5, 0, 1, 2
Let x(h) = -5*h**4 - 16*h**3 - h**2 + 13*h. Let g(q) = -26*q**4 - 80*q**3 - 6*q**2 + 64*q. Let d(p) = -3*g(p) + 16*x(p). What is j in d(j) = 0?
-8, -1, 0, 1
Let p be (0 - 6)/(5535/(-492)). Let i(s) be the first derivative of p*s**3 - 2 + 4/5*s**2 + 0*s + 1/10*s**4. Factor i(f).
2*f*(f + 2)**2/5
Suppose -3*k - k = 0. Suppose k = 8*v - 3*v - 125. Let 1 - v*u**2 + 0 + 5 + 22*u**2 - 3*u = 0. Calculate u.
-2, 1
Let y(c) = -4*c**4 - 9*c**3 + 7*c**2 - 6*c - 12. Let x(w) = w**4 + w**3 - w**2 + w + 2. Let k(l) = -6*x(l) - y(l). Solve k(h) = 0 for h.
0, 1/2, 1
Let n(l) = -6*l - 2. Suppose 8*h + 45 = 3*h. Let u(b) = -27*b**2 - 25*b - 26*b**2 - 8 + 54*b**2. Let t(f) = h*n(f) + 2*u(f). Factor t(g).
2*(g + 1)**2
Let o(s) be the third 