derivative of -9*z**4/8 - 2*z**3 + 11*z**2/4 - z + 5. Factor v(r).
-(r + 2)*(3*r - 1)**2/2
Let t = 6 + 0. Let n(m) be the second derivative of -3/50*m**5 + 1/10*m**4 - 1/15*m**3 + 1/75*m**t + 0*m**2 + 0 - m. Factor n(i).
2*i*(i - 1)**3/5
Let g(c) = 4*c**2 + 2*c. Let n be g(-1). Let x be -2 + -2 + (-40)/(-6). Suppose -1/3 + x*b**3 + n*b**2 + b**4 + 0*b = 0. Calculate b.
-1, 1/3
Let h(g) be the first derivative of 0*g**5 + 0*g**4 + 0*g + 1 - 2/3*g**3 + 1/720*g**6 + 0*g**2. Let i(a) be the third derivative of h(a). Factor i(p).
p**2/2
Let s(t) be the first derivative of -2*t**3/13 + 4*t**2/13 + 8*t/13 + 5. What is c in s(c) = 0?
-2/3, 2
Let c(b) be the first derivative of b**7/21 - 2*b**6/15 + b**5/10 + b - 5. Let i(a) be the first derivative of c(a). Factor i(l).
2*l**3*(l - 1)**2
Suppose 0 = 3*d - 0*d. Let -14*g**2 + 2*g**2 + d*g**3 + 2*g**3 - 6*g**2 + 54*g - 54 = 0. Calculate g.
3
Let x(m) = -15*m**2 + 23*m - 8. Let k(f) = 8*f**2 - 12*f + 4. Let v(d) = -11*k(d) - 6*x(d). Factor v(g).
2*(g - 2)*(g - 1)
Factor -a**2 + 2*a**3 + 24 + 7*a - 11*a - 15*a**2 - 6*a**3.
-4*(a - 1)*(a + 2)*(a + 3)
Let c(l) = 2*l**3 - 31*l**2 + 14*l + 18. Let t be c(15). Let 1/8*i - 1/4*i**t + 0*i**4 + 0*i**2 + 1/8*i**5 + 0 = 0. Calculate i.
-1, 0, 1
Let f(n) be the second derivative of -n**8/560 + n**7/140 - n**6/120 - n**3/3 - 4*n. Let p(g) be the second derivative of f(g). Find k such that p(k) = 0.
0, 1
Let r = 1 + 1. Suppose -8*f**3 + f**3 + 0*f**3 - 5*f**2 - 2 + 7*f + 2*f**r + 5*f**4 = 0. Calculate f.
-1, 2/5, 1
Let w(b) be the second derivative of 5*b**4/72 + 11*b**3/36 + b**2/6 + 21*b. Factor w(y).
(y + 2)*(5*y + 1)/6
Suppose -9*c - 90 + 135 = 0. Factor -4/7*j**4 + 2/7*j + 0*j**3 + 0 - 2/7*j**c + 4/7*j**2.
-2*j*(j - 1)*(j + 1)**3/7
Determine g so that 8 - 24*g**2 - 14*g**3 + 51*g**2 - 10*g**4 - 2*g**5 + 16*g - 25*g**2 = 0.
-2, -1, 1
Let f(o) be the first derivative of -3*o**4/2 + 8*o**3/3 - o**2 + 17. Factor f(h).
-2*h*(h - 1)*(3*h - 1)
Let v(r) be the second derivative of -r**5/20 - r**4/12 + r**3/3 + 9*r. Factor v(d).
-d*(d - 1)*(d + 2)
Let w(m) be the first derivative of m**3/6 + m**2/4 - m + 22. Let w(r) = 0. Calculate r.
-2, 1
Let n(j) be the third derivative of j**8/50400 - j**7/12600 + j**5/60 + j**2. Let p(h) be the third derivative of n(h). Factor p(b).
2*b*(b - 1)/5
Let h = 7 - 9. Let p be (2*h/5)/(-2). Factor 0 + p*c**4 - 6/5*c**3 + 6/5*c**2 - 2/5*c.
2*c*(c - 1)**3/5
Let l(p) be the third derivative of 0*p + 0*p**4 + 0 - 1/210*p**7 - 1/60*p**6 - 1/60*p**5 + 0*p**3 - 5*p**2. Solve l(m) = 0 for m.
-1, 0
Let g(c) be the first derivative of c**6/6 - 2*c**5/25 - 12. Factor g(y).
y**4*(5*y - 2)/5
Suppose 7 = g + 2. Let q(j) be the third derivative of 0 - 1/27*j**4 + 1/27*j**3 + 0*j + 1/90*j**g - j**2. Factor q(v).
2*(v - 1)*(3*v - 1)/9
Let o = 5 - 2. What is g in 5*g**3 - 2*g**4 - 3*g**o - 4*g**3 = 0?
-1, 0
Let i = -7 + 9. Factor -7 - 3 - 15*v**i + 21*v + 4.
-3*(v - 1)*(5*v - 2)
Suppose 4*n - 17 = 11. Let a(g) = g**3 - 8*g**2 + 8*g - 4. Let w be a(n). What is j in -3*j**4 - 3*j**w + 7*j**2 - 4*j**2 + 2*j + j**3 = 0?
-1, -2/3, 0, 1
Let o be (-76)/(-63) + ((-2)/(-9))/1. Let -2*m**3 + 4/7*m + 6/7*m**2 + 0 - 6/7*m**4 + o*m**5 = 0. What is m?
-1, -2/5, 0, 1
Let s(z) be the first derivative of z**6/30 - z**5/40 - z**4/12 + z**3/12 + z - 7. Let x(g) be the first derivative of s(g). Factor x(k).
k*(k - 1)*(k + 1)*(2*k - 1)/2
Let h(r) = -4*r**2 + 19*r - 32. Let x(a) = 6*a**2 - 29*a + 48. Let c(s) = 7*h(s) + 5*x(s). Factor c(p).
2*(p - 4)*(p - 2)
Let t be -19 - (-4 + 3 + 2). Let j be t/(-15)*(-6)/(-32). Find x, given that -3/2*x**3 + x**4 - j*x + 0 - 1/4*x**5 + x**2 = 0.
0, 1
Let t(z) be the third derivative of z**8/6720 - z**7/1680 - z**5/12 + 5*z**2. Let x(u) be the third derivative of t(u). Factor x(r).
3*r*(r - 1)
Suppose -3*a**3 - 6 + 39*a**2 - 33*a**4 - 11*a**5 - 2*a**5 + 4*a**5 + 15*a - 3*a**5 = 0. What is a?
-2, -1, 1/4, 1
Suppose 2*y - 5*y + 3 = 0. Solve 10 - c**3 + 2*c**3 - 4*c - 2*c**2 - 3 + y = 0 for c.
-2, 2
Let a(j) be the first derivative of 9/2*j**2 - 4 + 3/2*j**4 + 3/2*j + 9/2*j**3. Factor a(x).
3*(x + 1)**2*(4*x + 1)/2
Let t = 24151/105 - 230. Let c(s) be the third derivative of 0*s + t*s**7 + 2*s**2 - 1/30*s**5 + 1/12*s**4 + 0 - 1/60*s**6 + 0*s**3. Find x such that c(x) = 0.
-1, 0, 1
Let x(g) be the second derivative of g**9/15120 - g**8/3360 + g**6/360 - g**5/120 + g**4/4 - g. Let t(w) be the third derivative of x(w). Factor t(k).
(k - 1)**3*(k + 1)
Factor -20*b - 12 - 4/3*b**3 - 28/3*b**2.
-4*(b + 1)*(b + 3)**2/3
Let d(t) be the second derivative of -t**5/30 - t**4/9 - t**3/9 - 5*t. Factor d(f).
-2*f*(f + 1)**2/3
Let h(q) = 1 + q**2 - 2*q - 2 + 0. Let p be h(3). Factor s**2 - s**p - s**2 - 2 - 4*s - 2.
-(s + 2)**2
Factor 4*h - 5*h**5 + 0*h**5 + h - 10*h**2 + 10*h**4.
-5*h*(h - 1)**3*(h + 1)
Let x be -2 - (2 + (1 - 3)). Let l = x + 4. Factor 3*k**2 + 5 - 4 + 3*k**2 - 7*k**l.
-(k - 1)*(k + 1)
Let s(n) = 0*n**2 - 1 + n**2 + 9*n**3 - 2*n**4 + n**2 + 2*n**5 - 4*n**5 - 5*n. Let t(i) = i**5 + i**4 - i**2 + i - 1. Let x(a) = -s(a) + t(a). Factor x(q).
3*q*(q - 1)**2*(q + 1)*(q + 2)
Suppose 3*a - 8 = -a. Factor -2*d**3 + 0*d**3 + 6*d - a - 4*d**3 - 2*d**3.
-2*(d + 1)*(2*d - 1)**2
Let r be 2/15 + 2/10. Let d(t) = 2*t**2 - 17*t + 11. Let c be d(8). Find w, given that -5/3*w**c + 5/6*w**5 - r*w**4 - 1/3 + 2/3*w**2 + 5/6*w = 0.
-1, 2/5, 1
Let y(a) be the first derivative of a**9/3024 - a**8/840 + a**7/840 - a**3/3 + 3. Let l(g) be the third derivative of y(g). Solve l(f) = 0.
0, 1
Let r(g) be the first derivative of g**6/16 - 3*g**5/10 + 9*g**4/16 - g**3/2 + 3*g**2/16 - 16. Factor r(f).
3*f*(f - 1)**4/8
Suppose 3*t - 4*t + 18 = 0. Let q be (t/12)/((-6)/(-8)). Factor 0*v - 2/3*v**q + 0.
-2*v**2/3
Suppose -5*p - 216 - 333 = -4*u, 472 = -4*p - 5*u. Let i = p + 343/3. Factor 0*w + 1/3*w**3 - w**2 + i.
(w - 2)**2*(w + 1)/3
Factor -2/7*o**5 - 8/7*o - 26/7*o**3 - 12/7*o**4 + 0 - 24/7*o**2.
-2*o*(o + 1)**2*(o + 2)**2/7
Let -o - 4*o**3 - 2 - 5 + 3 + 4*o**2 + 5*o = 0. Calculate o.
-1, 1
Let -l - 1/2 - 1/2*l**2 = 0. What is l?
-1
Factor -2/3*v - 1/3*v**5 - 7/3*v**2 - 5/3*v**4 - 3*v**3 + 0.
-v*(v + 1)**3*(v + 2)/3
Suppose -7*v + 5*v + 6 = 0. Solve 2*k**4 + 4*k**2 - 4*k**3 - v*k**2 + 4*k - 3*k**2 = 0.
-1, 0, 1, 2
Let n be 195/26*(-16)/(-6). Factor -20*a**2 - 4*a**3 + 2*a**3 + 6*a + n*a**2 - 4.
-2*(a - 1)**2*(a + 2)
Let f be (-60)/(-14) + (-2)/7. Let u be ((-12)/(-15))/(f/10). Factor -3*c + 4 - 2 + c**u + 0.
(c - 2)*(c - 1)
Let m(l) be the third derivative of -l**5/120 - 7*l**4/48 - 6*l**2 - 2. Solve m(x) = 0.
-7, 0
Let q be (0/(3/(15/10)))/(-2). Let t(y) be the second derivative of 1/2*y**3 + 0*y**2 + 0 + q*y**4 - 3/20*y**5 - y. Factor t(i).
-3*i*(i - 1)*(i + 1)
Let p(h) be the first derivative of 2*h**3/15 - 6*h**2/5 + 18*h/5 - 6. Factor p(i).
2*(i - 3)**2/5
Let d = 111 - 1331/12. Let x(h) be the second derivative of -d*h**3 + 2*h + 0*h**4 + 0 + 1/40*h**5 + 1/8*h**2 - 1/120*h**6. Solve x(g) = 0 for g.
-1, 1
Let y(n) be the first derivative of 0*n + 2/3*n**3 - 4 - n**2. Factor y(o).
2*o*(o - 1)
Let x = 3 + -10. Let y be x/(-14)*(-4)/(-5). Factor 0*a - y*a**4 + 0*a**3 + 4/5*a**2 - 2/5.
-2*(a - 1)**2*(a + 1)**2/5
Let u(w) = w**3 - w**2 - 2*w. Let o be u(0). Let q(x) be the second derivative of 0*x**3 + o*x**2 + 2*x + 1/30*x**5 + 0 + 0*x**4. Factor q(r).
2*r**3/3
Suppose 4*k - 16 = 0, 4*k = -t + 3*t - 12. Let n = t + -10. Factor -4*h**3 - 2*h**2 + 5*h**4 - 2*h**4 - h**n - 4*h**4.
-2*h**2*(h + 1)**2
Let s(o) be the second derivative of -o**9/15120 - o**8/1680 - o**7/630 - o**4/12 + o. Let g(t) be the third derivative of s(t). Factor g(j).
-j**2*(j + 2)**2
Let f(t) be the first derivative of t**4/36 - t**3/27 - t**2/18 + t/9 + 7. Factor f(s).
(s - 1)**2*(s + 1)/9
Let d = 123 - 123. Factor -1/5*y**4 + d + 0*y**3 + 1/5*y**2 + 0*y.
-y**2*(y - 1)*(y + 1)/5
Let o(f) be the second derivative of 0*f**4 + 0*f**3 + 0*f**5 + 0*f**2 + 0 + 7*f - 1/105*f**6. Suppose o(j) = 0. What is j?
0
Let y = 8 + -7. Let 3*t - 2*t + y + t**2 + 0 + t = 0. Calculate t.
-1
Let x(v) be the second derivative of 0*v**2 + 0 + 0*v**3 - 1/40*v**5 - v + 1/30*v**6 - 1/84*v**7 + 0*v**4. Factor x(i).
-i**3*(i - 1)**2/2
Let n(u) = -u**3 + u**2 - u - 1. Let z(k) = k**3 - k**2 - k - 1. Let r(q) = 2*n(q) - 2*z(q). F