 first derivative of -126*i**5/55 - 15*i**4/2 - 28*i**3/3 - 60*i**2/11 - 16*i/11 - 9. Solve g(o) = 0.
-1, -2/3, -2/7
Factor -u + 4*u**2 + 9*u - u**2 + u**2.
4*u*(u + 2)
Suppose 5*b - 3*v + 11 - 39 = 0, 5*v = b + 12. Let r = b - 15/2. Determine z, given that r*z - 1 + 1/2*z**2 = 0.
-2, 1
Suppose 12 = 3*i - 75. Suppose 3*t + 8*q + 11 = 3*q, 3*t - 5*q - i = 0. Suppose 0*o**2 + 4/3*o**t - 2/3*o**4 - 4/3*o + 2/3 = 0. Calculate o.
-1, 1
Let i(f) be the second derivative of 1/24*f**4 + 9/4*f**2 + 2*f + 0 + 1/2*f**3. Factor i(c).
(c + 3)**2/2
Let h be 6 - 5/(15/12). Let t(b) be the first derivative of -2/9*b**3 + 0*b + 2/15*b**5 + 0*b**4 + h + 0*b**2. Factor t(n).
2*n**2*(n - 1)*(n + 1)/3
Let j be (-3)/6*-2*-1. Let y be 19/45 + j/5. Let y - 2/9*x**3 + 2/9*x - 2/9*x**2 = 0. What is x?
-1, 1
Let c be (-24)/220 - (3 - (-48)/(-15)). Let s(d) be the first derivative of -c*d**2 - 1 + 0*d - 4/33*d**3 - 1/22*d**4. Factor s(o).
-2*o*(o + 1)**2/11
Let r(n) be the second derivative of 2*n**7/147 - 6*n**5/35 + 8*n**4/21 - 2*n**3/7 - 72*n. Factor r(p).
4*p*(p - 1)**3*(p + 3)/7
Let i(f) be the second derivative of f**3/3 - f. Let p be i(1). Factor 8*d**2 - 9*d + 2 - 3*d**p + 2*d**2.
(d - 1)*(7*d - 2)
Suppose -3*r = 3*c + c - 19, -4*c - 4*r = -16. Suppose 0 = 4*v - c*v + 15. Factor 1 - w**2 + 4*w - w**3 + 2*w - v*w.
-(w - 1)*(w + 1)**2
Factor 2/5*u**5 + 18/5*u**3 + 0 + 2*u**4 + 14/5*u**2 + 4/5*u.
2*u*(u + 1)**3*(u + 2)/5
Let p(g) = -9*g**4 + g**3 - g**2 + 4*g. Let t(d) = -5*d**4 + d**3 - d**2 + 2*d. Let s(v) = -v. Let l be s(-6). Let h(w) = l*p(w) - 10*t(w). Factor h(u).
-4*u*(u - 1)*(u + 1)**2
Suppose 103*w**3 + w**4 - 196*w**3 + 96*w**3 = 0. Calculate w.
-3, 0
Factor 0 - 2/5*z**2 - 4/5*z + 2/5*z**3.
2*z*(z - 2)*(z + 1)/5
Let n(g) be the third derivative of -6*g**2 + 0*g**3 - 1/20*g**5 + 0*g + 1/120*g**6 + 1/12*g**4 + 0. What is p in n(p) = 0?
0, 1, 2
Let r(a) = -5*a**3 + 2*a**2 + 7*a + 7. Let p(h) = 2*h**3 - 5*h + 17*h**2 - 18*h**2 - 3 + 2*h. Let x(l) = 7*p(l) + 3*r(l). Solve x(f) = 0 for f.
-1, 0
Let y = -2 - 1. Let x be 4/(6*y/(-6)). Factor x*i - 2/3*i**2 - 2/3.
-2*(i - 1)**2/3
Let h(s) be the second derivative of -1/210*s**7 + 0*s**4 + 0*s**6 - 1/30*s**3 + 1/50*s**5 + 0 + 0*s**2 + 4*s. Factor h(r).
-r*(r - 1)**2*(r + 1)**2/5
Let q(x) be the third derivative of -x**5/15 + 4*x**4/3 - 32*x**3/3 - 8*x**2. Suppose q(c) = 0. Calculate c.
4
Find h such that -3*h - 6*h**2 - h**2 + 0*h**2 - 4 + 8*h**2 = 0.
-1, 4
Suppose -2 = 4*b + 2*s, -5*s - 2 = 3*b - 3*s. Find v such that b + 3/2*v**2 - 3/2*v = 0.
0, 1
Let w(t) = -39*t**4 + 90*t**3 - 56*t**2 + 12*t - 4. Let h(x) = -116*x**4 + 271*x**3 - 167*x**2 + 35*x - 11. Let b(j) = -4*h(j) + 11*w(j). Factor b(m).
m*(m - 2)*(5*m - 2)*(7*m - 2)
Let n = 231 + -1148/5. Factor 6/5 - n*j - 3/5*j**2.
-(j + 3)*(3*j - 2)/5
Let g = -4 + 6. Suppose -g*c + 15 = 3*c. Determine s so that -5*s**4 - c*s**5 + 0*s + 0*s - 2*s**3 = 0.
-1, -2/3, 0
Factor 27*n**4 + 3*n - 3*n**2 + 61*n**3 + 24*n**2 - 16*n**3.
3*n*(n + 1)*(3*n + 1)**2
Let -2*h**2 - 9*h - 28 + 41*h + 0*h**2 - 2*h**2 = 0. What is h?
1, 7
Let h = 3/14 + 2/7. Factor -1/2*l**2 + h*l + 0.
-l*(l - 1)/2
Let q = 4/7715 + -1427331/108010. Let i = q + 27/2. Factor -2/7*f**3 + 1/7*f**2 + i*f - 1/7.
-(f - 1)*(f + 1)*(2*f - 1)/7
Factor -1/3*i - 2/3 + i**2.
(i - 1)*(3*i + 2)/3
Suppose 0 = -5*u + 2*h + 20, 0*u - 8 = -2*u + 4*h. Suppose -5*c + 31 = u*g, 2*c + 2*c - 2*g - 4 = 0. Find r, given that 4*r - 3*r**2 + 1 - c - 9*r = 0.
-1, -2/3
Let 0 - 9/2*i**3 + 18*i**2 - 6*i - 15/2*i**4 = 0. What is i?
-2, 0, 2/5, 1
Let a(u) = u + 5. Let y be a(-6). Let v be (y*(0 - 0))/2. Find f such that f**3 + v*f**2 - 1 + f - 2*f**3 + f**2 = 0.
-1, 1
Let q(d) be the third derivative of -d**7/4200 + d**6/450 - d**5/120 + d**4/60 - d**3/2 + 4*d**2. Let j(y) be the first derivative of q(y). Factor j(h).
-(h - 2)*(h - 1)**2/5
Let w(t) be the second derivative of -t**4/4 + 3*t**2/2 + 5*t. Factor w(k).
-3*(k - 1)*(k + 1)
Let a(t) be the first derivative of -t**6/2 + 3*t**5/5 + 3*t**4/4 - t**3 + 5. Factor a(b).
-3*b**2*(b - 1)**2*(b + 1)
Suppose 80*w**2 + 33*w - 92*w**3 + 28*w**4 - 81*w + 32*w = 0. Calculate w.
0, 2/7, 1, 2
Let n be ((-12)/10)/(27/(-90)). Factor -6*i**2 - 7*i**3 - 4*i + n*i**3 - 2*i**2.
-i*(i + 2)*(3*i + 2)
Let 2/3*b**3 + 16/3 - 4*b - 2*b**2 = 0. Calculate b.
-2, 1, 4
Let d(p) be the third derivative of 9*p**5/10 - p**4 + 4*p**3/9 - 2*p**2. Find g, given that d(g) = 0.
2/9
Let t be (-1 + 3)/(-4 + 5). Let q(d) be the second derivative of 0*d**3 + 0 + 1/63*d**7 - 1/30*d**5 - 1/18*d**4 - d + 0*d**t + 1/45*d**6. Factor q(i).
2*i**2*(i - 1)*(i + 1)**2/3
Let w(t) be the second derivative of t**5/150 - t**4/60 - 2*t**3/15 + 3*t**2/2 - 3*t. Let s(c) be the first derivative of w(c). Factor s(q).
2*(q - 2)*(q + 1)/5
Suppose 0*k = -k + 3. Let s be (-9)/(-2) - k - 1. Factor -1/4 - s*n - 1/4*n**2.
-(n + 1)**2/4
Let q(h) = 14*h + 87. Let m be q(-6). Determine b, given that -4/7*b**m + 2/7*b + 2/7*b**5 + 0*b**2 + 0*b**4 + 0 = 0.
-1, 0, 1
Factor -71*z + 0*z**2 + 15*z**2 + 74*z.
3*z*(5*z + 1)
Suppose 0 = 4*b - 53 - 19. Let o = -13 + b. Determine i so that 0*i + 6*i**3 + 2*i - 8*i**o + 11*i**4 - i**4 - 10*i**2 = 0.
-1, 0, 1/4, 1
Let y(c) = 2*c - 12. Let l be y(9). Let h(g) be the second derivative of 1/5*g**5 - 1/3*g**3 + 0*g**4 - 1/21*g**7 - g + 0*g**2 + 0 + 0*g**l. Factor h(n).
-2*n*(n - 1)**2*(n + 1)**2
What is f in -32*f**3 + 58*f**3 - 27*f**3 - f**2 = 0?
-1, 0
Suppose -4*f - s - 24 = -2, 2*s - 11 = 3*f. Let n(m) = m + 7. Let k be n(f). Factor -z**2 - 6*z - z**k - 2*z - 8 + 0.
-2*(z + 2)**2
Solve 0 - 3/7*z - 3/7*z**2 = 0 for z.
-1, 0
Suppose 0 = -6*a - 3 + 33. Factor 3/5*u**a + 2/5*u**3 + 1/5 - u - 7/5*u**4 + 6/5*u**2.
(u - 1)**3*(u + 1)*(3*u - 1)/5
Let v be 2088/957 + (-2)/11. Factor 1/2*f**5 + f**v - 1/2*f**4 + 1/2*f - f**3 - 1/2.
(f - 1)**3*(f + 1)**2/2
Let t = 173 + -169. Let b(q) be the second derivative of 1/4*q**t - 2*q + 0 + 1/2*q**3 - 3*q**2. Factor b(l).
3*(l - 1)*(l + 2)
Let m be ((-2)/2)/(1/4). Let z(q) = -2*q**2 - 2*q - 4. Let v(t) = -t**2 - 2*t - 4. Let i(a) = m*v(a) + 3*z(a). Factor i(k).
-2*(k - 2)*(k + 1)
Let d(b) be the first derivative of -b**8/96 + b**7/35 + b**6/60 + 5*b**2/2 - 3. Let u(w) be the second derivative of d(w). Factor u(c).
-c**3*(c - 2)*(7*c + 2)/2
Determine b, given that 0 - 8/3*b + 10/3*b**3 - 8/3*b**2 + 2*b**4 = 0.
-2, -2/3, 0, 1
Factor 0 - 8/7*j + 2/7*j**2.
2*j*(j - 4)/7
Let h(r) = -r**2 - r - 10. Let w be h(0). Let j be (5/(15/(-12)))/w. Solve -6/5*d**2 - 6/5*d - j - 2/5*d**3 = 0.
-1
Suppose 2/7*h**2 - 6/7*h + 0 = 0. Calculate h.
0, 3
Let p(r) be the second derivative of -r**8/13440 + r**6/1440 - 5*r**4/12 - 3*r. Let i(f) be the third derivative of p(f). Solve i(w) = 0.
-1, 0, 1
Let u(n) = n**5 + n**3 - n**2 + n + 1. Let h = -8 - -10. Let b(q) = -q**5 + 5*q**3 - 2*q**2 + 2*q + 2. Let a(y) = h*u(y) - b(y). Suppose a(f) = 0. What is f?
-1, 0, 1
Let b(v) = -v**2 + 6*v - 3. Let a be b(5). Solve -a - 16*s**2 - 20*s**2 + 3*s + 35*s**2 = 0 for s.
1, 2
Suppose -24*v + 20*v + 16 = 0. Let w(n) be the second derivative of 3/4*n**5 + 0 + 19/30*n**6 + 1/6*n**7 - 1/3*n**3 - 3*n + 1/12*n**v + 0*n**2. Factor w(b).
b*(b + 1)**3*(7*b - 2)
Let r(y) be the second derivative of 0 - 1/16*y**4 + 0*y**3 + 4*y + 3/2*y**2. Factor r(w).
-3*(w - 2)*(w + 2)/4
Let y(t) be the second derivative of t**6/1020 + t**5/1020 - t**3/6 + 10*t. Let j(f) be the second derivative of y(f). Factor j(c).
2*c*(3*c + 1)/17
Let q(b) be the first derivative of -2*b**6/3 - 36*b**5/5 - 21*b**4 - 76*b**3/3 - 12*b**2 - 42. What is z in q(z) = 0?
-6, -1, 0
Let f(j) be the third derivative of -j**7/105 + j**6/60 + j**5/15 + 6*j**2. Factor f(n).
-2*n**2*(n - 2)*(n + 1)
Let v = -24 - -24. Let g(z) be the third derivative of -1/120*z**6 + 0*z + 1/12*z**4 + v*z**3 + 0 - 1/60*z**5 + 4*z**2. Factor g(t).
-t*(t - 1)*(t + 2)
Let y be 14/140 + (-142)/(-20). Factor 0*p + 2/5*p**4 - 54/5 + 16/5*p**3 + y*p**2.
2*(p - 1)*(p + 3)**3/5
Suppose 0 = 199*r - 194*r - 25. Let o(h) be the third derivative of 0*h**4 + 0*h - 4*h**2 + 0*h**3 + 0 - 1/540*h**6 - 1/135*h**r. What is d in o(d) = 0?
-2, 0
Let f = 11 - 8. Factor -3 + i - f*i**2 - 3 + 5 - 4*i - i**3.
-(i + 1)**3
Solve 0*o - 1/6*o**4 + 0*o**3 + 1/6*o**2 + 0 = 0 for o.
-1, 0, 1
Solve 0 - 3/2*d - 1/2*d*