 derivative of 1/6*i**4 + 0*i**2 - l + 2/9*i**3 + 0*i. Factor z(r).
2*r**2*(r + 1)/3
Let s(c) be the first derivative of -2/5*c**5 + 0*c**2 + 1/2*c**4 - 1/3*c**6 - 3 + 2/3*c**3 + 0*c. Let s(l) = 0. Calculate l.
-1, 0, 1
Let c(m) be the second derivative of 5*m**7/6 - m**6/3 - 8*m. Factor c(w).
5*w**4*(7*w - 2)
Factor -2/5*j + 2/5*j**3 + 3/5*j**2 + 0 - 3/5*j**4.
-j*(j - 1)*(j + 1)*(3*j - 2)/5
Let d(y) be the third derivative of -2*y**2 + 0*y**3 - 1/96*y**4 + 1/240*y**6 - 1/240*y**5 + 0*y + 0. Suppose d(s) = 0. Calculate s.
-1/2, 0, 1
Let t(o) be the first derivative of 1/2*o + 1/3*o**3 + 1/16*o**4 - 6 + 5/8*o**2. Let t(z) = 0. What is z?
-2, -1
Let s(x) be the third derivative of 0 + 0*x + 9*x**2 + 0*x**3 + 1/135*x**5 + 1/1512*x**8 - 1/108*x**4 + 0*x**6 - 2/945*x**7. Factor s(a).
2*a*(a - 1)**3*(a + 1)/9
Let g be 3/(-3)*(-1 - 1). Suppose 5*a = 2*r + 10, 1 = -5*a - g*r + 11. Factor -6*p**5 + 3*p**5 - p**4 + a*p**5.
-p**4*(p + 1)
Let h(z) be the second derivative of -z**10/60480 + z**9/15120 - z**7/2520 + z**6/1440 - 5*z**4/12 - 2*z. Let y(d) be the third derivative of h(d). Factor y(n).
-n*(n - 1)**3*(n + 1)/2
Suppose -3*d + 5*d = 10. Factor 1 - q**4 - 1 - q**4 + 2*q**d.
2*q**4*(q - 1)
Suppose -4*i + 8 = -0*i. Factor -x**3 - 2*x**3 - x + i*x**3 + 2*x.
-x*(x - 1)*(x + 1)
Let l(f) = 3*f**2 - 2*f - 5. Let v(y) = -3*y**2 + 3*y + 6. Let d(j) = -6*l(j) - 5*v(j). Factor d(o).
-3*o*(o + 1)
Let y be (-3)/(-6) + (-4)/16. Let w(v) = v + 11. Let d be w(-11). Let -1/4*f**2 + d + y*f = 0. Calculate f.
0, 1
Factor 2/5 + 2/5*p**2 + 4/5*p.
2*(p + 1)**2/5
Factor 0 - 2/3*u**2 - 4/3*u.
-2*u*(u + 2)/3
Let w(b) be the third derivative of -9*b**6/160 + 9*b**5/80 - 3*b**4/32 + b**3/24 - 2*b**2. Suppose w(a) = 0. Calculate a.
1/3
Let b(r) = -r**5 + r**3 - 2*r - 2. Let h(o) = -o**5 + o**4 - o - 1. Let y(j) = 2*b(j) - 4*h(j). Factor y(g).
2*g**3*(g - 1)**2
Let k = 4 - 10. Let h be (5/30)/(k/(-128)). Find u such that -20/9*u - 2/9 - h*u**4 - 22/3*u**2 - 80/9*u**3 = 0.
-1, -1/4
Let d = 8 + -20. Let k be d/10*30/(-9). Find o, given that 4*o - 2*o**k - 2*o**3 + 3*o - 7*o = 0.
-1, 0
Let r(a) be the first derivative of -a**6/3 - 4*a**5/5 + a**4 + 8*a**3/3 - a**2 - 4*a + 1. Let r(d) = 0. Calculate d.
-2, -1, 1
Let o = -6 - -12. Let j(f) be the first derivative of 2*f**2 - o*f**4 - 2*f**3 + 0*f + 2 - 14/5*f**5. Determine u, given that j(u) = 0.
-1, 0, 2/7
Suppose 23*n - 60 = 3*n. Factor -14*a**n - 1/2*a**2 + 0 + a.
-a*(4*a - 1)*(7*a + 2)/2
Let y be (-34)/4 - 5/(-10). Let r be y/14*-11 + -4. Suppose -10/7*o**2 + r*o + 2/7*o**3 - 8/7 = 0. Calculate o.
1, 2
Let o(t) = 4*t - 5*t**2 + 3*t**2 + t**2. Let k be o(3). Factor 0 - 4/3*q**2 - 2*q**k + 0*q + 28/3*q**4.
2*q**2*(2*q - 1)*(7*q + 2)/3
Let x = 209 + -205. Find g, given that -4/15*g + 0 + 2/15*g**x + 2/15*g**5 - 2/3*g**2 - 2/5*g**3 = 0.
-1, 0, 2
Let u(o) be the third derivative of -2*o**7/105 + o**6/15 - 17*o**2. Determine t so that u(t) = 0.
0, 2
Suppose s - h - 2 = -2*h, s - h = 2. Suppose -10*f - 325 = -325. Factor 0*x**s + f - 2/7*x**3 - 2/7*x**4 + 0*x.
-2*x**3*(x + 1)/7
Suppose -5*a = -a. Let k = -3 - -5. Factor -f**2 + 2 - k*f + a*f - 3.
-(f + 1)**2
Let u(p) be the first derivative of -p**4/16 - p**3/12 - 3. Factor u(w).
-w**2*(w + 1)/4
Let i(v) = 0*v - v**2 - 6*v - v. Let s be i(-7). Suppose -5*d + s + 2*d**4 + 2*d**3 - 2*d**2 + 0 + 3*d = 0. Calculate d.
-1, 0, 1
Let n(r) be the third derivative of 9*r**2 + 2/9*r**3 - 1/36*r**4 + 1/180*r**6 - 1/45*r**5 + 0*r + 0. Factor n(x).
2*(x - 2)*(x - 1)*(x + 1)/3
Let z = -84 + 51. Let o = -97/3 - z. Factor o*t**2 + 0*t - 2/3.
2*(t - 1)*(t + 1)/3
Let v(h) be the first derivative of h**8/5880 - h**7/1470 - h**6/1260 + h**5/210 - 4*h**3/3 - 3. Let d(c) be the third derivative of v(c). Factor d(s).
2*s*(s - 2)*(s - 1)*(s + 1)/7
Suppose 5*a - 4*a = 4, 0 = -z - 2*a + 9. Factor -i**2 + 1 - z + 2*i.
-i*(i - 2)
Let i = 90/11 - 608/77. Factor -6/7*a**2 - i*a + 0.
-2*a*(3*a + 1)/7
Factor -19*r**2 + 10*r**2 + r**3 + 10*r**2.
r**2*(r + 1)
Let h(n) be the second derivative of -n**7/210 + n**6/40 - n**5/60 - n**4/8 + n**3/3 - 5*n**2/2 - 2*n. Let x(o) be the first derivative of h(o). Factor x(b).
-(b - 2)*(b - 1)**2*(b + 1)
Solve 4/9*t**3 - 2/9*t**2 - 2/9*t**4 + 0*t + 0 = 0.
0, 1
Let d(x) = 7*x**2 + 3*x. Let v(u) = -8*u**2 - 4*u. Let h(f) = -6*d(f) - 5*v(f). Find g, given that h(g) = 0.
0, 1
Let s(w) be the first derivative of -w**3/12 - w**2/2 - w + 1. Factor s(c).
-(c + 2)**2/4
Let o be (-55)/15 - -5 - (-2)/(-2). Let m(z) be the first derivative of -1/3*z**2 + 1 + 1/9*z**3 + o*z. Suppose m(j) = 0. What is j?
1
Let i(z) be the third derivative of -2/3*z**3 + 1/20*z**5 - 1/120*z**6 + 0 + 0*z - 3*z**2 + 0*z**4. Factor i(u).
-(u - 2)**2*(u + 1)
Suppose -2*o - 3*t = -16, 4*o + 3*t = -t + 24. Solve -3/5*z**4 - 9/5*z**3 - 3/5*z + 0 - 9/5*z**o = 0.
-1, 0
Let b(a) = 2*a**4 + 10*a**3 - 6*a**2 - 6*a - 2. Let m(v) = -5*v**4 - 31*v**3 + 19*v**2 + 17*v + 7. Let t(c) = -7*b(c) - 2*m(c). Suppose t(l) = 0. What is l?
-2, -1, 0, 1
Determine u, given that 4*u**2 - 81*u + u**2 + 56*u = 0.
0, 5
Suppose 0 = -4*n + 43 + 29. Factor -3*j**4 + 14*j**3 - 3*j**4 + 2*j**4 + 2*j + 8*j - 2 - n*j**2.
-2*(j - 1)**3*(2*j - 1)
Suppose 5*q - 13 = 2. Let s be (q + -2 - 1)/(-1). Find r, given that s*r + 0*r**3 + 0*r - 2*r**4 + 4*r**3 - 2*r**2 = 0.
0, 1
Let z(r) be the third derivative of 0 + 0*r**4 - 1/210*r**5 + 0*r - 1/245*r**7 - 6*r**2 - 1/140*r**6 + 0*r**3 - 1/1176*r**8. Solve z(n) = 0.
-1, 0
Let j(w) = 2*w - 3*w + 4*w - 4*w + w**3 + w**4. Let u(z) = 2*z**4 - 10*z**3 - 24*z**2 - 17*z. Let b(a) = -5*j(a) + u(a). Factor b(m).
-3*m*(m + 1)*(m + 2)**2
Let i be 8*(-1 + 7/4). Let l = 9 - i. Find q, given that 2*q**l - q**2 + 3*q - q**3 - 4*q + 1 = 0.
-1, 1
Let t = 1/109 + 215/327. Factor -2/3*m - 4/3 + t*m**2.
2*(m - 2)*(m + 1)/3
Suppose b - 24 = -5*p, -5*p + 8 = 3*b - 6*b. Suppose 3*q - 5*q + b = 0. Suppose 3*h**3 - h**3 - q*h**2 + 0*h**3 = 0. Calculate h.
0, 1
Let d(u) = 12*u**3 - 17*u**2 - 3*u + 8. Let p(o) = 24*o**3 - 34*o**2 - 7*o + 17. Let g(c) = -13*d(c) + 6*p(c). Let g(n) = 0. Calculate n.
-1/4, 2/3, 1
Let b(r) be the second derivative of 0*r**3 + 0 - 16/21*r**7 + 0*r**2 - 1/6*r**4 - 9/10*r**5 + 2*r - 8/5*r**6. Let b(x) = 0. What is x?
-1, -1/4, 0
Let n be (1/2)/((1 + 3)/16). Factor 1 + 1/2*p - 1/2*p**n.
-(p - 2)*(p + 1)/2
Let b(v) be the second derivative of v**4/36 - v**3/18 + 5*v. Factor b(l).
l*(l - 1)/3
Let s(l) = l**3 + l**2 + l + 1. Let k(g) = -30*g**3 - 15*g**2 - 20*g - 35. Let v(a) = -k(a) - 25*s(a). Let v(y) = 0. What is y?
-1, 1, 2
Let d(s) be the second derivative of s**6/1080 + s**5/180 - 2*s**3/3 + 3*s. Let f(i) be the second derivative of d(i). Suppose f(n) = 0. What is n?
-2, 0
Let f(a) be the first derivative of 3*a**4/16 + a**3/4 - 3*a**2/8 - 3*a/4 + 35. Solve f(c) = 0 for c.
-1, 1
Let i be ((-12)/18)/((-3)/(9/5)). Factor -2/5*m**2 - 2/5*m**3 + 0 + 2/5*m + i*m**4.
2*m*(m - 1)**2*(m + 1)/5
Let n(v) be the third derivative of 3*v**5/80 + v**4/16 - v**3/8 + 7*v**2. Suppose n(x) = 0. Calculate x.
-1, 1/3
Let u(t) be the second derivative of t**5/4 - 5*t**4/2 - 5*t**3/6 + 15*t**2 - 58*t. Find s such that u(s) = 0.
-1, 1, 6
Let c(o) be the first derivative of -1/15*o**5 + 1/6*o**2 + 1/6*o**4 + 3*o + 1/90*o**6 - 4 - 2/9*o**3. Let v(i) be the first derivative of c(i). Factor v(y).
(y - 1)**4/3
Let b(k) = -512*k**4 + 519*k**3 - 192*k**2 + 25*k - 9. Let o(t) = 256*t**4 - 259*t**3 + 96*t**2 - 13*t + 4. Let g(x) = -6*b(x) - 14*o(x). Factor g(j).
-2*(4*j - 1)**4
Let p be ((-60)/(-90))/((2/(-9))/(-1)). Factor -2/3*z**4 + 2/3*z**p + 0 + 0*z + 0*z**2.
-2*z**3*(z - 1)/3
Factor 6/7 - 3/7*k**2 - 3/7*k.
-3*(k - 1)*(k + 2)/7
Suppose 0 = -7*z + 9*z - 8. Let o(t) be the third derivative of -1/105*t**7 - 3*t**2 + 0*t + 0*t**z + 1/30*t**6 - 1/30*t**5 + 0 + 0*t**3. Factor o(r).
-2*r**2*(r - 1)**2
Factor 0 - 1/5*p**2 + 1/5*p**5 + 0*p - 3/5*p**4 + 3/5*p**3.
p**2*(p - 1)**3/5
Suppose -3*o - 2*w + 14 = 0, 5*o - 2*w + 2 = 4. Suppose o = 3*j - 2*j. Factor d**2 - 2*d + 0 - 1 - 6*d**j + 4*d**2.
-(d + 1)**2
Let v(g) = -g**2 + 12*g - 9. Let p be v(11). Find o, given that 0*o**2 + 4 - 7 - 6*o - 3*o**p = 0.
-1
Let a(n) = 7*n**4 + 9*n**3 + 5*n**2 + n - 7. Let g(h) = -3*h**4 - 4*h**3 - 2*h**2 + 3. Let s(y) = 2*a(y) + 5*g(y). Factor s(l).
-(l - 1)