*4 - 12*g**2.
g*(g - 2)*(g + 1)**2*(3*g + 2)
Let k(x) be the second derivative of 4*x + 0 + 1/4*x**2 - 1/24*x**3 - 1/48*x**4. Factor k(d).
-(d - 1)*(d + 2)/4
Let r(m) be the second derivative of m**6/345 - m**5/115 + 2*m**3/69 - m**2/23 - 2*m - 11. Determine o, given that r(o) = 0.
-1, 1
Suppose -2*f = -2*i + 130, 0 = 5*i - 4*f - 179 - 151. Factor 76*g**2 + 16/5 + i*g**3 + 136/5*g.
2*(5*g + 2)**2*(7*g + 2)/5
Let t(m) be the third derivative of m**10/680400 - m**5/30 - 2*m**2. Let r(l) be the third derivative of t(l). Factor r(z).
2*z**4/9
Let d(h) be the third derivative of -h**9/37800 + h**8/8400 + h**7/6300 - h**6/900 + h**4/6 - 4*h**2. Let c(u) be the second derivative of d(u). Factor c(n).
-2*n*(n - 2)*(n - 1)*(n + 1)/5
Suppose -2*p = -4*p + 26. Suppose -3*a = 4 - p. Find s, given that a*s**2 + s**2 - 2*s - s**3 - s**3 = 0.
0, 1
Let i(s) be the first derivative of 2*s**3/33 + 3*s**2/11 + 4*s/11 + 1. Factor i(d).
2*(d + 1)*(d + 2)/11
Let k(n) = 3*n**2 + 6*n + 2. Let r = -53 - -60. Let s(c) = -5 + 5*c - 10*c - 14*c - 10*c**2. Let l(g) = r*k(g) + 2*s(g). Solve l(b) = 0 for b.
-2
Let b(t) = -6*t**2 - 2. Let v(o) = o**2 + 8*o - 8. Let x be v(-8). Let y(i) = i**2. Let c(k) = x*y(k) - b(k). Factor c(w).
-2*(w - 1)*(w + 1)
Let p = -6 + 13. Suppose t + 12 = p*t. Factor 1 - 1/2*k**3 - k**t + 1/2*k.
-(k - 1)*(k + 1)*(k + 2)/2
Suppose -p + 4*g - 4 = p, -4*p - 5*g + 5 = 0. Solve -1/2*k**5 + p*k**2 + 0*k + 0*k**3 + 0 - 1/2*k**4 = 0 for k.
-1, 0
Let i(w) be the third derivative of -1/6*w**4 + 2*w**2 + 0*w + 0*w**3 + 2/15*w**5 - 1/24*w**6 + 1/210*w**7 + 0. Let i(o) = 0. What is o?
0, 1, 2
Let n(b) = -b**2 - 5*b. Let j = 0 - 1. Let q(i) = i. Let p(h) = -h**3 - 6*h**2 + 6*h - 10. Let u be p(-7). Let l(o) = j*n(o) + u*q(o). What is d in l(d) = 0?
-2, 0
Let d(j) be the first derivative of 2/5*j**5 + 0*j**3 + 1 + 0*j**2 + 0*j - j**4. Find i, given that d(i) = 0.
0, 2
Let t(r) be the second derivative of 1/4*r**2 - 1/12*r**4 + 1/60*r**6 + 0 + 2*r + 0*r**5 + 0*r**3. What is j in t(j) = 0?
-1, 1
Factor -4/9 + 10/9*n - 2/9*n**3 - 2/3*n**2 + 2/9*n**4.
2*(n - 1)**3*(n + 2)/9
Let d(v) = v**5 + v**4 - v**3 - 1. Let o(w) = 7*w**5 + 13*w**4 + w**3 - 5. Let c(y) = -5*d(y) + o(y). Suppose c(i) = 0. What is i?
-3, -1, 0
Let n(q) be the third derivative of q**6/240 - q**5/40 + q**4/16 - q**3/12 + 20*q**2. Factor n(y).
(y - 1)**3/2
Let x(t) be the third derivative of 10*t**2 - 1/120*t**6 + 1/24*t**4 + 0*t + 1/210*t**7 + 0*t**3 - 1/60*t**5 + 0. What is c in x(c) = 0?
-1, 0, 1
Determine c so that 0 + 24/5*c**5 + 22/5*c**4 + 4/5*c + 2/5*c**2 - 52/5*c**3 = 0.
-2, -1/4, 0, 1/3, 1
Factor -30*t**3 - 24*t + 24*t**3 + 15 + 22*t**2 - 7.
-2*(t - 2)*(t - 1)*(3*t - 2)
Let k(c) be the third derivative of -c**8/336 + c**7/210 + c**6/120 - c**5/60 - 3*c**2. Factor k(d).
-d**2*(d - 1)**2*(d + 1)
Let a = 2/875 + 21871/1750. Let 5/2*h**3 + 0 - a*h**4 + 2*h + 8*h**2 = 0. Calculate h.
-2/5, 0, 1
Let s be (-2 - 15/(-6))/(8/32). Let b(g) be the first derivative of -1/3*g**3 + 0*g + 3 + 1/4*g**4 + 0*g**s. What is x in b(x) = 0?
0, 1
Solve 5 + 19 + 16 - 60*h + 31*h**2 - 5*h**3 - h**2 = 0.
2
Let a(o) be the first derivative of -1/5*o**5 - 3/4*o**4 + 0*o + 0*o**3 + 2*o**2 - 1. Solve a(c) = 0 for c.
-2, 0, 1
Let b(m) be the first derivative of -2*m**5/5 - m**4 - 2*m**3/3 - 7. Find r such that b(r) = 0.
-1, 0
Factor t**2 + 6*t**2 - 281 + 277 - 3*t**2.
4*(t - 1)*(t + 1)
Factor 8/5*t - 4/5 - 4/5*t**2.
-4*(t - 1)**2/5
Factor 3/4*f**2 - 3/4*f**3 - 1/4*f + 0 + 1/4*f**4.
f*(f - 1)**3/4
Let l be (2/(-3))/((-8)/96). Let v = l + -8. Factor 2*h**3 + 2/3*h**5 - 2*h**4 - 2/3*h**2 + v + 0*h.
2*h**2*(h - 1)**3/3
Let y(l) be the first derivative of 0*l - 1/3*l**3 + 1/6*l**2 - 8 - 1/3*l**4. Suppose y(g) = 0. Calculate g.
-1, 0, 1/4
Let n = -49/4 - -13. Factor 3/4*v**4 - 3/4*v**2 - n*v**3 + 0 + 3/4*v.
3*v*(v - 1)**2*(v + 1)/4
Factor 0*y**2 + 3/4*y**5 + 0 - 3/2*y**4 + 3/4*y**3 + 0*y.
3*y**3*(y - 1)**2/4
Suppose 0 = -3*b - b + 8. Determine w, given that -2*w**2 - w**b - 4*w**2 + 2*w + 9*w**2 = 0.
-1, 0
Suppose -y - 12 = 4*g, -2*y + 4*g - 9*g - 15 = 0. Factor 0 + y*a - 4/11*a**2 + 2/11*a**3.
2*a**2*(a - 2)/11
Let l = 1938/11 + -176. Let r = 136/11 + -12. Factor -l*w - 2/11*w**2 + r.
-2*(w - 1)*(w + 2)/11
Let j(r) = r**2 + r - 1. Let f(l) = -12*l**2 - 28*l + 14. Let x(n) = -f(n) - 2*j(n). What is a in x(a) = 0?
-3, 2/5
Let i(b) = b**3 - b. Let u(y) = 11*y**3 - y**2 - 11*y + 1. Let z(j) = 24*i(j) - 3*u(j). Factor z(f).
-3*(f - 1)*(f + 1)*(3*f - 1)
Let k(o) be the third derivative of -o**8/224 + o**6/40 - o**4/16 - 3*o**2. Solve k(z) = 0 for z.
-1, 0, 1
Suppose -3*p + 7*p = 12. Suppose 10 + 10 - 6*d**2 - 3*d**p - 20 = 0. Calculate d.
-2, 0
Let y(d) be the first derivative of d**3/2 - 3*d**2 + 6*d - 3. Factor y(m).
3*(m - 2)**2/2
Find c, given that 0 + 5/3*c + 5/3*c**2 = 0.
-1, 0
Factor -4*a**3 + a - 480 + 488 + 11*a.
-4*(a - 2)*(a + 1)**2
Let o(r) be the second derivative of r**5/30 + r**4/12 + r**3/12 - r**2/2 - 3*r. Let z(h) be the first derivative of o(h). Factor z(y).
(2*y + 1)**2/2
Let f(o) = -8*o**4 + 4*o**3 - 6*o**2 - 3*o - 1. Let g(x) = -x**4 - x. Let d(q) = 5*f(q) - 35*g(q). Let d(a) = 0. What is a?
1
Let i = 1042/13 - 80. Suppose i*s**4 + 2/13*s**5 + 2/13*s + 2/13 - 4/13*s**3 - 4/13*s**2 = 0. What is s?
-1, 1
Suppose 0 = 6*b - 9*b. Factor -1/2*r**2 + 1/2 + b*r.
-(r - 1)*(r + 1)/2
Let v(z) be the second derivative of -z**4/78 + 4*z**2/13 - 6*z. Suppose v(u) = 0. Calculate u.
-2, 2
Let q(x) be the third derivative of x**5/40 + 5*x**4/16 + x**3 - 12*x**2. Factor q(j).
3*(j + 1)*(j + 4)/2
Let m(w) = -w**3 + w**2 + 17*w - 5. Let a(d) = -9*d + 3. Let q(s) = -5*a(s) - 3*m(s). Let q(i) = 0. What is i?
-1, 0, 2
Let c(q) be the first derivative of -3/5*q**5 - q**2 + 1 + 1/2*q**4 + 4/3*q**3 - q. What is a in c(a) = 0?
-1, -1/3, 1
Let m = 23 - 23. Let a(c) be the third derivative of -c**2 + 0*c**4 + 0*c**6 + 0*c + 0*c**3 + 0 + 0*c**5 + 1/168*c**8 + m*c**7. Factor a(j).
2*j**5
Let s(h) = -h**3 + 3*h**2 - h - 5. Let n(q) = -q - 1. Let m(p) = 2*n(p) - 2*s(p). Factor m(r).
2*(r - 2)**2*(r + 1)
Let q(g) be the first derivative of -g**5/10 - g**4/8 + g**3/2 + 5*g**2/4 + g - 6. Let q(a) = 0. What is a?
-1, 2
Suppose 4*p = 5*s + 5 - 14, 3*s - 35 = -5*p. Solve 0 - 2/5*z + 2/5*z**p - 6/5*z**3 + 6/5*z**2 = 0 for z.
0, 1
Let a(t) be the first derivative of t**5 + t**4/2 - 5*t**3 - 8*t**2 - 4*t + 1. Factor a(u).
(u - 2)*(u + 1)**2*(5*u + 2)
Let m(h) be the first derivative of -h**4/8 + h**3/2 + 9. Solve m(b) = 0 for b.
0, 3
Let p(t) = -2*t**3 - 12*t**2 + 4*t. Let q(f) = -f**3 - f**2 - f. Let c(n) = -p(n) + 4*q(n). Factor c(v).
-2*v*(v - 2)**2
Let d(x) be the second derivative of x**5/80 - x**4/16 + x**3/12 - 13*x. Suppose d(q) = 0. What is q?
0, 1, 2
Factor 0 - 3/2*k**3 + 3/2*k**2 - 1/2*k + 1/2*k**4.
k*(k - 1)**3/2
Suppose -2*a = -3*a + 2. Factor 5*o**4 - 1 - a*o**4 + 2*o - 2*o**3 - 2*o**4.
(o - 1)**3*(o + 1)
Let b(l) be the second derivative of 0*l**3 + 2*l + 0 + 1/2*l**2 - 1/12*l**4. Let b(r) = 0. What is r?
-1, 1
Let t(k) be the first derivative of k**7/70 - k**6/40 - k**5/20 + k**4/8 - 3*k**2 - 2. Let q(o) be the second derivative of t(o). What is i in q(i) = 0?
-1, 0, 1
Let 3*k**2 - 7*k**4 - 2*k**4 + 0*k**4 - 3*k**5 - 6*k**2 - 9*k**3 = 0. What is k?
-1, 0
Let a(h) = h**3 + h**2 - h - 1. Let u(p) = 45*p**4 - 54*p**3 + 26*p**2 - 6*p - 6. Let l(t) = -6*a(t) + u(t). Let l(k) = 0. Calculate k.
0, 2/3
Suppose -4*j - 49 = -5*s, -s + 2*j + 44 = 3*s. Let 2*p**3 + 27*p**2 + s*p**3 - 24*p**4 - 3*p**4 + 4*p + 2*p - 21*p**5 = 0. What is p?
-1, -2/7, 0, 1
Factor h - 7*h - 4*h**2 + 4*h - 6*h.
-4*h*(h + 2)
Let g(d) = 4*d + 3*d**2 - 11*d**2 + 4*d**3 + 21*d**5 + 6*d**4 - 23*d**5. Let n(z) = -z**3 - z. Let f be 1 + (-2)/1 + 2. Let v(x) = f*g(x) + 4*n(x). Factor v(k).
-2*k**2*(k - 2)**2*(k + 1)
Suppose 0*t = 3*t - 15. Suppose 6 = n - 3*w - 11, w = -t. Find h, given that h**2 - 3*h**2 + h**2 - 8*h**3 - h**n = 0.
-1/4, 0
Let y = -6 - 7. Let s = -25/2 - y. Determine l so that 1/4*l**3 + s*l + 5/4*l**2 - 3/4*l**5 - 5/4*l**4 + 0 = 0.
-1, -2/3, 0, 1
Let o(w) be the first derivative of 3*w**5/5 + w**4/2 - w**3 - w**2 + 1. Solve o(l) = 0 for l.
-1, -2/3, 0, 1
Factor -5/7*h**2 + 11/7*h**3 - 2/7*h - 4/7*h**4 + 0.
-h*(h - 2)*(h - 1)*(4*h + 1)/7
Let b(k) be the 