 Solve x(o) = 0.
-2/7, 0, 1
Let r(l) be the second derivative of -11*l**4/90 - 2*l**3/15 - 26*l. Solve r(d) = 0.
-6/11, 0
Suppose 3*f + 2 = 2*f. Let r be 4/(f + (-40)/(-12)). Factor 0*v**r - 1/5*v**4 - 1/5 + 0*v + 2/5*v**2.
-(v - 1)**2*(v + 1)**2/5
Let s = 43 - 40. Factor 2*y**s - 18/7*y**2 + 4/7*y + 0.
2*y*(y - 1)*(7*y - 2)/7
Let d(a) be the first derivative of -a**6/300 + a**5/50 - a**4/20 + a**3/15 - 3*a**2/2 - 1. Let y(u) be the second derivative of d(u). Solve y(n) = 0.
1
Let m = 77/2 + -38. Let -1/2*s + 1/2*s**4 - s**2 - m*s**5 + 1/2 + s**3 = 0. What is s?
-1, 1
Let c(y) be the third derivative of -1/20*y**5 + 1/224*y**8 - 1/16*y**4 + 0*y**6 + 0*y**3 + 0 - 3*y**2 + 0*y + 1/70*y**7. What is w in c(w) = 0?
-1, 0, 1
Let b(t) be the third derivative of -6*t**2 - 1/120*t**6 + 0 + 0*t**5 + 0*t + 0*t**3 + 0*t**4. Factor b(y).
-y**3
Factor 20/9*p - 2/9*p**2 - 50/9.
-2*(p - 5)**2/9
Let j = -93/11 - -537/44. Determine i so that -9/2*i**3 + 3/2*i - j*i**2 + 3/4 = 0.
-1, -1/3, 1/2
Let a(o) be the first derivative of -3*o**3/4 + 3*o**2/2 + 3*o - 4. Find f such that a(f) = 0.
-2/3, 2
Let q(p) = -p**3 + 8*p**2 - p + 11. Let j be q(8). Factor -4*k**2 - 3*k**2 + j*k**2.
-4*k**2
Let s(d) = 6*d**4 - 5*d**3 + 5*d**2 + 14*d + 12. Let q(n) = -n**4 + n**3 + n**2 - 1. Let b(x) = 14*q(x) + 2*s(x). Suppose b(j) = 0. Calculate j.
-1, 5
Let h = 353 - 705/2. Factor 1/4*s**2 - h*s + 1/4.
(s - 1)**2/4
Let k(r) = -15*r**3 + r**2 - 2*r + 1. Let z be k(1). Let u(p) = -p**2. Let d(o) = 4*o**2 + 8*o - 16. Let i(f) = z*u(f) - 3*d(f). Let i(h) = 0. Calculate h.
4
Let v(y) be the first derivative of -y**4/12 - y**3/3 - y**2/2 - 3*y + 2. Let t(u) be the first derivative of v(u). Suppose t(g) = 0. Calculate g.
-1
Let c(s) = -s**3 + 13*s**2 - 2*s + 26. Let p be c(13). Factor -1/4*u**3 + 0*u + p + 1/2*u**2.
-u**2*(u - 2)/4
Let j(g) be the first derivative of 2*g**3/21 + 3*g**2/7 + 4*g/7 - 12. Let j(a) = 0. Calculate a.
-2, -1
Let l(x) be the third derivative of x**8/336 - x**7/210 - x**6/24 - x**5/20 + 3*x**2. Find i such that l(i) = 0.
-1, 0, 3
Let q = 93 + -93. Factor -1/2 + 1/2*w**2 + q*w.
(w - 1)*(w + 1)/2
Let x(o) = o**2 - 3*o - 2. Let t(a) be the second derivative of a**3/6 + a**2/2 - a. Let v be t(-2). Let g(w) = -w. Let l(b) = v*x(b) + 4*g(b). Factor l(r).
-(r - 1)*(r + 2)
Let a(f) be the third derivative of 0*f**7 + 0*f**5 + 0*f + 2*f**2 + 0*f**3 + 0 + 1/120*f**4 + 1/1680*f**8 - 1/300*f**6. Factor a(s).
s*(s - 1)**2*(s + 1)**2/5
Factor 12*j**3 - 28 - 28 + 85 - 23 + 39*j**2 + 33*j.
3*(j + 1)*(j + 2)*(4*j + 1)
Let g(x) = x**2 - 7*x - 4. Let m be g(8). Factor -m*k**3 + 0*k**2 - 2*k**2 + 6*k**3 + 0*k**4 - 2*k + 2*k**4.
2*k*(k - 1)*(k + 1)**2
Suppose 3*i + 2*q + 4 = 6*q, -3*i = 5*q - 32. Let 4*f - 4*f - f**i + f**3 = 0. Calculate f.
0, 1
Let i(f) be the third derivative of f**6/165 - f**5/22 + f**4/11 + 4*f**3/33 - 15*f**2. Let i(u) = 0. What is u?
-1/4, 2
Let p = 10 + -5. Let j(c) be the second derivative of c + 0 + 0*c**2 + 0*c**4 - 1/63*c**7 + 0*c**6 + 1/30*c**p + 0*c**3. Factor j(a).
-2*a**3*(a - 1)*(a + 1)/3
Let o(t) be the second derivative of -t**8/840 - t**7/420 - t**3/3 - 4*t. Let u(g) be the second derivative of o(g). Factor u(r).
-2*r**3*(r + 1)
Suppose -4*v**3 + v**2 + 2*v**4 - 4*v**2 + 3*v**2 = 0. Calculate v.
0, 2
Let a(i) = i + 9. Let c be a(-5). Suppose v = c*v - 18. Factor 8*k + v + 8/3*k**2.
2*(2*k + 3)**2/3
Let d be 7*(-14)/(-245)*(-4)/(-1). What is r in -d*r - 2/5*r**2 - 6/5 = 0?
-3, -1
Factor -6 + 9*b**4 - 636*b**3 + 651*b**3 + 0*b**4 - 15*b - 3*b**2.
3*(b - 1)*(b + 1)**2*(3*b + 2)
Let x(h) = 2*h**2 + 7*h + 9. Let c be x(-2). Find d, given that 0*d**4 - 2/5*d + 0*d**2 + 4/5*d**c - 2/5*d**5 + 0 = 0.
-1, 0, 1
Let j(w) = -5*w**3 + 5*w - 4. Let n(g) = g**3 - g + 1. Let m = 14 + -10. Let q(x) = m*n(x) + j(x). Solve q(y) = 0.
-1, 0, 1
Let i(r) = -2*r + 14. Let o be (-2)/(-2 - 0) - -6. Let g be i(o). Factor g*a + 0 + 2/9*a**3 + 2/9*a**2.
2*a**2*(a + 1)/9
Let k(h) be the first derivative of -2*h**5/5 - h**4 + 8*h**3/3 + 2*h**2 - 6*h + 56. Solve k(g) = 0 for g.
-3, -1, 1
Let s be (-12 - -6)/(3/(-4)*2). Solve -2/9*o**s - 2/9*o + 2/9*o**2 + 0 + 2/9*o**3 = 0.
-1, 0, 1
Let n(a) = -a - 1. Let s be n(-1). Let z(y) be the third derivative of 0*y**3 + 1/315*y**7 + s + 0*y + 0*y**5 + 0*y**4 - 2*y**2 + 0*y**6. Factor z(w).
2*w**4/3
Let h(k) be the third derivative of k**6/40 - 3*k**5/20 + 3*k**4/8 - k**3/2 - 28*k**2. Factor h(z).
3*(z - 1)**3
Let i be (2 - 1)*0*(-4)/12. Let m(s) be the third derivative of 2*s**2 + 1/480*s**6 - 1/240*s**5 + i*s + 0*s**3 + 0 + 0*s**4. Determine j, given that m(j) = 0.
0, 1
Let b be 1/(2/(2 + 2)). Determine a so that -a**2 + b*a**2 + 2*a**2 - 12 = 0.
-2, 2
Let v be -1*26/(-120) + 3/(-15). Let g(k) be the third derivative of -1/120*k**6 + 3*k**2 + 0*k**3 + v*k**5 + 0*k**4 + 0 + 0*k. Factor g(i).
-i**2*(i - 1)
Let f = -193/5 + 39. Let 0*k**2 + 2/5*k**3 + 0 - f*k**4 + 0*k = 0. What is k?
0, 1
Let y(k) = -5*k**2 + 3*k - 7. Let r = 3 - 1. Let j = r + -9. Let d(t) = -11*t**2 + 5*t - 15. Let w(g) = j*y(g) + 3*d(g). What is s in w(s) = 0?
1, 2
Let z = 79/2 - 39. What is k in -k - z - 1/2*k**2 = 0?
-1
Let m = 860/7 + -4286/35. What is s in -1/5*s**4 + 0*s + 0*s**3 - 1/5 + m*s**2 = 0?
-1, 1
Factor -1/10*h**3 + 1/10*h - 1/10*h**2 + 0 + 1/10*h**4.
h*(h - 1)**2*(h + 1)/10
Solve -4*x**3 + 6/7*x**4 + 10/7*x + 18/7*x**5 - 4/7*x**2 - 2/7 = 0.
-1, 1/3, 1
Let f(q) = 25*q**3 + 25*q**2 + 50*q + 20. Let o(w) = w**3 + w**2 + w. Let i(j) = f(j) - 30*o(j). Factor i(b).
-5*(b - 2)*(b + 1)*(b + 2)
Factor 2*o**3 - 6*o - 6*o**2 + 0 - 2 - 4*o**3.
-2*(o + 1)**3
Let l(v) be the third derivative of v**7/1260 + v**6/720 - v**2. Let l(n) = 0. What is n?
-1, 0
Suppose -s = 2*s - 6. Suppose 5*g + 5 + 5 = -s*a, a - 6 = 3*g. Find w, given that 2/7*w + a + 2/7*w**2 = 0.
-1, 0
Let j = -46 - -48. Factor 0 - 1/4*m**4 + 0*m + 0*m**3 + 1/4*m**j.
-m**2*(m - 1)*(m + 1)/4
Let t(z) be the first derivative of z**6/420 - z**4/28 + 2*z**3/21 - 5*z**2/2 - 8. Let l(d) be the second derivative of t(d). Suppose l(s) = 0. What is s?
-2, 1
Determine k, given that -23*k**4 - 3*k + 236*k**3 + 30*k**2 - 248*k**3 + 15*k**5 - k**4 - 6 = 0.
-1, -2/5, 1
Let a(b) be the third derivative of -b**8/840 - b**7/1050 + b**6/600 - 2*b**2. Factor a(z).
-z**3*(z + 1)*(2*z - 1)/5
Let b(o) = -o + 206. Let m be b(0). Let f = -1438/7 + m. Let f*h + 6/7*h**3 - 10/7*h**2 + 0 = 0. Calculate h.
0, 2/3, 1
Factor -4*o - 39*o**2 - 7*o**2 + 72*o**2.
2*o*(13*o - 2)
Suppose 8*p - 10*p - 3*p**2 + 2*p - 3*p**3 = 0. What is p?
-1, 0
Let i(n) be the first derivative of n**5/6 - 7*n**4/24 - n**3/6 + 7*n**2/12 - n/3 + 1. Find s such that i(s) = 0.
-1, 2/5, 1
Let v(w) be the second derivative of 0*w**3 + 1/21*w**7 + 0*w**2 - 1/10*w**5 + 1/6*w**4 + 0 - 3*w - 1/15*w**6. Factor v(c).
2*c**2*(c - 1)**2*(c + 1)
Suppose 17*z = 14*z + 24. Suppose 0 = -z*j + 5*j + 9. Factor 0*g - 1/2*g**4 + 0*g**2 - 1/2*g**j + 0.
-g**3*(g + 1)/2
Let y(q) = -7*q**2 - 2*q + 4. Let k(g) = g**2. Let m = 2 - 3. Let h = m + 0. Let v(f) = h*y(f) - 5*k(f). Solve v(a) = 0 for a.
-2, 1
Let y = -45/2 + 23. Determine i, given that 0*i + y*i**4 - 1/4*i**3 - 1/4*i**2 + 0 = 0.
-1/2, 0, 1
Suppose -5*x - 8*k + 6*k + 12 = 0, -2*x + 5*k - 1 = 0. What is m in -m**3 - 6*m**2 + 9*m + 5*m**3 - m**3 - x*m**3 = 0?
0, 3
Let j(o) be the first derivative of 1/4*o - 2 + 0*o**3 + 1/4*o**2 - 1/20*o**5 - 1/8*o**4. Suppose j(n) = 0. Calculate n.
-1, 1
Let o(x) be the first derivative of -4*x**5/25 + 4*x**3/5 + 4*x**2/5 - 10. Factor o(h).
-4*h*(h - 2)*(h + 1)**2/5
Find v, given that 12 + 2*v**2 - 9 + 25 + 22 + 20*v = 0.
-5
Let i = -65 - -68. Let u(s) be the second derivative of -2*s**2 + s + 0 + 1/6*s**4 + 1/3*s**i. Factor u(t).
2*(t - 1)*(t + 2)
Let m(w) be the first derivative of 7*w**4/18 + 32*w**3/27 + 11*w**2/9 + 4*w/9 + 5. Factor m(p).
2*(p + 1)**2*(7*p + 2)/9
Let j(w) be the second derivative of w**6/70 + 3*w**5/70 - 3*w**4/28 - 2*w**3/7 + 6*w**2/7 - 2*w. Suppose j(y) = 0. Calculate y.
-2, 1
Suppose -8*f - 2 + 9*f - f + 2*f**2 = 0. Calculate f.
-1, 1
Factor 1/8*t + 1/8*t**2 + 0.
t*(t + 1)/8
Let z(x) be the second derivative of -x**5/130 - 2*x**4/39 - x**3/39 + 6*x**2/13 + 24*x. Suppose z(b) = 0. Calculate b.
-3, -2, 1
Factor 2/3*v - 1/2 - 1/6*v**2.
-(v - 3)*(v - 1)/6
Let b(l) be the 