 third derivative of -a**8/1008 - a**7/315 + a**5/90 + a**4/72 + 11*a**2. Solve u(c) = 0.
-1, 0, 1
Let f = 7693 + -4615799/600. Let p(w) be the third derivative of 1/100*w**5 + 1/30*w**3 + 0*w + 0 + 1/40*w**4 + f*w**6 + w**2. Solve p(g) = 0 for g.
-1
Let c be ((-54)/10)/((-6)/8). Let g = -7 + c. Factor 1/5*w**2 - g*w + 0.
w*(w - 1)/5
Factor -2/9*b**3 + 0*b**2 + 0 + 2/9*b**4 + 0*b.
2*b**3*(b - 1)/9
Suppose 0 = -10*m + 6*m + 8. Let w(g) be the second derivative of -g + 0 - g**m - 1/2*g**3 - 1/12*g**4. Factor w(k).
-(k + 1)*(k + 2)
Let y = 159 + -156. Suppose 0 + 4/3*h**2 + 0*h - 4/3*h**y + 1/3*h**4 = 0. Calculate h.
0, 2
Let s = -38447/240 + 801/5. Let d(q) be the third derivative of 0*q**4 + 3*q**2 + s*q**5 + 0*q**3 + 0 + 0*q. Find m such that d(m) = 0.
0
Let k(h) be the second derivative of -h**4/12 - h**3/6 - 10*h. Solve k(u) = 0 for u.
-1, 0
Let c = -5 + 12. Let q(a) be the first derivative of -c*a**4 - 13/2*a**2 + 10*a**3 - 1 + 2*a + 8/5*a**5. Let q(h) = 0. What is h?
1/2, 2
Let c(b) be the first derivative of 0*b - 1/6*b**4 + 1/3*b**2 + 2/9*b**3 + 6 - 2/15*b**5. Let c(h) = 0. Calculate h.
-1, 0, 1
Let w(l) be the second derivative of 2*l + 0 + 1/120*l**6 + 0*l**2 - 1/80*l**5 + 1/24*l**3 - 1/48*l**4. Factor w(b).
b*(b - 1)**2*(b + 1)/4
Let o(h) be the third derivative of 0*h**3 + 0 - 1/1344*h**8 - 3*h**2 + 1/280*h**7 + 1/240*h**5 - 1/160*h**6 + 0*h**4 + 0*h. Find n such that o(n) = 0.
0, 1
Let q(w) = w**2 - w - 1. Let g(k) = 2*k**3 - k**2 - k + 1. Let r(i) = 2*g(i) + 2*q(i). Factor r(u).
4*u*(u - 1)*(u + 1)
Let i be (0 - 1/6)/(12/(-18)). Let h(o) be the first derivative of -o - 1 + 1/2*o**2 + 1/3*o**3 - i*o**4. Find j such that h(j) = 0.
-1, 1
Let d = -15 - -16. Factor -33*g + 6*g**2 - d + 30*g + 1 - 3*g**3.
-3*g*(g - 1)**2
Suppose -9 = -6*l + l - 2*r, 0 = -2*l + 3*r - 4. Factor -l - 169/4*u**2 + 13*u.
-(13*u - 2)**2/4
Let j(b) be the first derivative of -b**4/30 - b**3/15 + 2*b**2/5 - 2*b + 4. Let r(v) be the first derivative of j(v). Factor r(c).
-2*(c - 1)*(c + 2)/5
Let s(l) = l**2 + 2*l + 3. Let f be s(-2). Suppose -n + 6 = -0*n + 3*c, 0 = -4*n - 2*c + 4. Factor 3/4*t**f + n*t**2 - 3/4*t + 0.
3*t*(t - 1)*(t + 1)/4
Determine g, given that -3*g**4 + 15*g**2 + 36*g**3 - g**4 + g**4 - 9*g - 39*g**3 = 0.
-3, 0, 1
Suppose 2*f - 5*q + 1 = 0, -10 = q - 3*q. Suppose 43*l - l**2 - 17*l**2 - f - 16*l + 3*l**3 = 0. Calculate l.
1, 4
Let a be ((-210)/49)/(-10) - 2/21. Factor a*v**2 - 2/3 + 1/3*v.
(v - 1)*(v + 2)/3
Let i = 56 + -54. Let m(l) be the third derivative of 1/120*l**5 - 1/480*l**6 + 2*l**i + 0*l - 1/96*l**4 + 0 + 0*l**3. Factor m(t).
-t*(t - 1)**2/4
Let n(i) = -i**2 + 6*i - 6. Let a be n(4). Factor 0 + 1/4*q - 1/4*q**a.
-q*(q - 1)/4
Let r(n) be the second derivative of n**7/105 - n**6/25 + n**5/25 + n**4/15 - n**3/5 + n**2/5 - n. Find p, given that r(p) = 0.
-1, 1
Let v(m) be the second derivative of 9/8*m**3 + 3/4*m**4 + m + 0 + 3/16*m**5 + 3/4*m**2. Factor v(r).
3*(r + 1)**2*(5*r + 2)/4
Let o = 51 - 51. Let t(y) be the third derivative of o*y - 3*y**2 + 1/90*y**5 + 0*y**3 + 0 + 1/12*y**4. Solve t(m) = 0.
-3, 0
Factor 0 + 12/7*r**2 - 8/7*r.
4*r*(3*r - 2)/7
Let q(l) be the third derivative of 1/20*l**6 + 0*l + 0 + 0*l**3 + 4*l**2 - 1/15*l**5 - 1/105*l**7 + 0*l**4. Determine b, given that q(b) = 0.
0, 1, 2
Let k(g) be the third derivative of 3*g**2 + 0*g + 0 + 1/360*g**6 - 2/9*g**3 - 1/36*g**5 + 1/9*g**4. Factor k(f).
(f - 2)**2*(f - 1)/3
Let d(s) be the first derivative of -8/3*s**3 - 18*s - 1 + 12*s**2. Let d(j) = 0. What is j?
3/2
Suppose 4*r = 20, 7*r = -4*x + 3*r + 24. Determine b, given that -b**2 + 0*b - 4*b - x + 6*b = 0.
1
Let t = 24 - 42. Let d = t + 20. What is v in 2/5*v + 4/5 - 2/5*v**d = 0?
-1, 2
Suppose 34 - 7 = 9*l. Let h(y) be the second derivative of 0 + 0*y**2 + 1/18*y**l - 1/36*y**4 + 3*y. Factor h(b).
-b*(b - 1)/3
Let n(w) be the third derivative of 25*w**8/1176 + w**7/147 - 4*w**6/105 + 2*w**5/105 - 11*w**2. Factor n(a).
2*a**2*(a + 1)*(5*a - 2)**2/7
Let c(p) be the first derivative of -2*p - 5/2*p**2 - 4/3*p**3 - 7 - 1/4*p**4. Find k, given that c(k) = 0.
-2, -1
Let x be ((-4)/(-8))/(2/(-32)). Let v = -6 - x. Solve -5/2*d**v - 1/4 - 5/4*d**4 + 1/4*d**5 + 5/2*d**3 + 5/4*d = 0.
1
Suppose 0 = 3*b + 70 + 26. Let w be (1/(-10))/(4/b). What is h in -2/5*h**3 + 0*h**2 - w + 6/5*h = 0?
-2, 1
Suppose -c = 4*u - 2 - 2, -4*u = -2*c - 16. Let m(l) = -3*l**2 - 3*l. Let j(d) = -3*d**2 - 3*d. Let o(t) = u*j(t) - 3*m(t). Suppose o(z) = 0. What is z?
-1, 0
Let i(o) be the first derivative of o**7/840 + o**6/120 + o**5/60 - 5*o**3/3 + 3. Let f(p) be the third derivative of i(p). Determine r so that f(r) = 0.
-2, -1, 0
Let h(f) be the third derivative of -f**10/2016 - f**9/720 - f**8/1120 + f**4/8 - f**2. Let l(g) be the second derivative of h(g). Factor l(b).
-3*b**3*(b + 1)*(5*b + 2)
Let l be 66/18 + (-3)/1. Let b(z) be the second derivative of -l*z**3 + 0 + z**2 + z + 1/6*z**4. Factor b(q).
2*(q - 1)**2
Let m(y) be the first derivative of -y**6/225 + y**5/60 - y**4/60 - y**3/3 + 1. Let x(o) be the third derivative of m(o). Find b, given that x(b) = 0.
1/4, 1
Determine z so that 2/5 - 2/5*z**3 - 6/5*z + 6/5*z**2 = 0.
1
Let h(l) be the second derivative of -l**7/140 + l**6/120 + l**5/120 - l**2 + 3*l. Let y(m) be the first derivative of h(m). Factor y(o).
-o**2*(o - 1)*(3*o + 1)/2
Let i(h) be the third derivative of -h**7/280 + h**6/80 + h**5/20 - h**4/16 - 3*h**3/8 + 23*h**2. Determine b so that i(b) = 0.
-1, 1, 3
Let n(b) be the first derivative of 3*b**5 + 5*b**4/4 - 15*b**3 - 45*b**2/2 - 10*b - 30. Factor n(y).
5*(y - 2)*(y + 1)**2*(3*y + 1)
Let y be 0*(15/6 + -2). Suppose 8*q - 4*q = y. Factor 2/5*a**2 - 2/5*a + q.
2*a*(a - 1)/5
Let r(v) = -v**3 + v**2 + v - 1. Let y be r(1). Factor 0*k**2 + 0*k + 1/3*k**4 - 1/3*k**5 + 0*k**3 + y.
-k**4*(k - 1)/3
Let b(w) be the second derivative of -w**7/42 - w**6/5 - 11*w**5/20 - w**4/6 + 2*w**3 + 4*w**2 - 20*w. Find n, given that b(n) = 0.
-2, -1, 1
Let s be (-3 + (-53)/(-18))*-8. Factor -2/9*g**3 + 0 + 2/9*g**2 + s*g.
-2*g*(g - 2)*(g + 1)/9
Let m(b) = b**2 - b. Let t(u) = u**2 - 28*u - 48. Let s(a) = -4*m(a) + t(a). Find c, given that s(c) = 0.
-4
Let u(s) be the second derivative of s**7/840 + s**6/240 - s**4/3 - 8*s. Let t(v) be the third derivative of u(v). Factor t(z).
3*z*(z + 1)
Let t be 6/(-30) + 16/5. Determine w, given that 12*w + w**2 - 12*w**3 + t*w**2 - 10*w - 2*w**3 + 8*w**4 = 0.
-1/4, 0, 1
Let g(m) be the first derivative of 2/9*m**2 - 2/27*m**3 + 0*m - 4. Factor g(c).
-2*c*(c - 2)/9
Let i = -2623 - -7738/3. Let k = i - -44. Factor k*b**2 - 2/3*b + 0.
b*(b - 2)/3
Suppose -6*z + z = -10. Let h(y) = y**2 - 2*y - 1. Let j be h(-1). Let 0*i**2 + 0*i**2 - 2*i**j - z*i**2 + 2*i**4 + 2 = 0. Calculate i.
-1, 1
Let j(x) = 4*x**2 + 88*x + 192. Let i(m) = m**2 + 29*m + 64. Let k(c) = -8*i(c) + 3*j(c). Let k(s) = 0. What is s?
-4
Suppose 2*i + 2*a = a + 9, 1 = 3*i - a. Let o = -3 + 4. Let 14*t - 4 - 10*t**i - 1 + o = 0. What is t?
2/5, 1
Let z be (0 + 3)*(-2)/(-3). Let r(f) be the first derivative of -2/7*f + 6/35*f**5 + 4/7*f**z - 4/21*f**3 - 2/7*f**4 + 2. Suppose r(h) = 0. Calculate h.
-1, 1/3, 1
Let f = -17 + 86/5. Let d(r) be the first derivative of -1/10*r**4 + 2/15*r**3 - 2/5*r - 2 + f*r**2. Factor d(s).
-2*(s - 1)**2*(s + 1)/5
Let s(a) = 0*a + a**2 - 3 + 0*a**2 - a. Let f(g) = 3*g**2 - 3*g - 7. Let y(h) = 3*f(h) - 7*s(h). Factor y(b).
2*b*(b - 1)
Let z be 0 + ((-2)/1 - -4). What is d in 2*d - 4 + 6 - 3 - 3 + 2*d**z = 0?
-2, 1
Let s(k) = 7*k**3 - 56*k**2 + 65*k - 12. Let p(f) = 57*f**2 - 66*f - 3 + 11 + 4 - 6*f**3. Let u(g) = 5*p(g) + 6*s(g). What is h in u(h) = 0?
1/4, 2
Let m = -96 - -98. Factor 0 + 1/3*h**m + 1/3*h.
h*(h + 1)/3
Let l(x) be the first derivative of x**5/20 + x**4/12 - x**3/6 - x**2/2 - 2*x + 1. Let c(h) be the first derivative of l(h). Factor c(f).
(f - 1)*(f + 1)**2
Let v = -2243/7 - -321. Factor 0*s**2 + v*s**3 - 4/7*s - 2/7 + 2/7*s**4.
2*(s - 1)*(s + 1)**3/7
Let t(l) be the third derivative of 1/40*l**4 + 1/300*l**5 + 1/15*l**3 + 0 + 2*l**2 + 0*l. Determine a, given that t(a) = 0.
-2, -1
Let g be (-3 + -6)/3 + 18. Let z be (-9)/(-45) + 7/g. Factor -z*p + 0 + 4/3*p**2 - 2/3*p**3.
-2*p*(p - 1)**2/3
Factor 4*a**4 + 6/5*a**5 + 2/5*a + 12/5*a**2 + 24/5*a**3 + 0.
2*