o**3 + o + 0 = 0?
-1, 0, 1/5, 2/7
Let w be (-20)/21 - (-1 + 0). Let z(n) be the second derivative of 0 - w*n**3 + 0*n**2 - 1/42*n**4 + 2*n. Factor z(d).
-2*d*(d + 1)/7
Let g(q) be the second derivative of 3/20*q**5 + 0 - 5/12*q**4 - 1/6*q**2 + 7/18*q**3 + q. Factor g(f).
(f - 1)*(3*f - 1)**2/3
What is r in 264/13*r**4 - 42/13*r + 360/13*r**2 - 4/13 - 578/13*r**3 = 0?
-2/33, 1/4, 1
Let s = -301 + 304. Factor 0 - 3/2*j**5 + 0*j + 0*j**4 + 3/2*j**s + 0*j**2.
-3*j**3*(j - 1)*(j + 1)/2
Let f(u) be the first derivative of -4*u**7/1155 + u**6/60 - 3*u**5/110 + u**4/132 + u**3/33 - u**2 + 4. Let o(c) be the second derivative of f(c). Factor o(h).
-2*(h - 1)**3*(4*h + 1)/11
Let b = 3/5 - -1/15. Factor -b - 2*d**2 - 2*d - 2/3*d**3.
-2*(d + 1)**3/3
Let m(b) be the second derivative of b**6/360 + b**5/20 + 3*b**4/8 - b**3/6 + 4*b. Let z(g) be the second derivative of m(g). Factor z(n).
(n + 3)**2
Let h = 887/2 - 443. Let r be (6/(-15))/(2/(-10)). Factor 1/2*q**r + q + h.
(q + 1)**2/2
Let a(m) be the second derivative of 0 - 1/2*m**6 - 7/4*m**4 + 0*m**2 - 27/20*m**5 - 1/14*m**7 - m**3 + 4*m. Find j, given that a(j) = 0.
-2, -1, 0
What is n in 0 - 5/2*n**3 + 0*n**2 - 5/2*n**4 + 0*n = 0?
-1, 0
Let q(f) be the first derivative of -f**6/39 + 4*f**5/65 - 4*f**3/39 + f**2/13 - 7. Factor q(x).
-2*x*(x - 1)**3*(x + 1)/13
Let g(q) be the first derivative of q**4/8 - q**3 + 9*q**2/4 - 58. Factor g(s).
s*(s - 3)**2/2
Let f(s) = s**5 + s**4 + 3*s**3 + 3*s**2 - 4*s - 8. Let b(v) = -v**4 - v**3 + v**2 + v - 1. Let k(d) = 4*b(d) - f(d). Factor k(o).
-(o - 1)*(o + 1)**2*(o + 2)**2
Let j(a) be the third derivative of -a**8/336 + 7*a**6/120 + a**5/30 - a**4/2 - 4*a**3/3 + 32*a**2. Factor j(b).
-(b - 2)**2*(b + 1)**2*(b + 2)
Determine v so that -2/15 + 2/15*v**4 - 4/15*v + 4/15*v**3 + 0*v**2 = 0.
-1, 1
Let q(z) = -2*z**4 + 4*z**3 + 2*z. Let h(s) = -3*s**4 + 8*s**3 + 5*s. Suppose w + 5*k - 3 = 0, 0 = 6*w - 2*w + 4*k + 4. Let u(y) = w*h(y) + 5*q(y). Factor u(v).
-4*v**3*(v - 1)
Factor -4*g**2 - 3 + 3 + 5*g**2 + 3*g - 3*g**3 - 1.
-(g - 1)*(g + 1)*(3*g - 1)
Suppose p + 0*o + 15 = -4*o, -5 = p + 2*o. Let h(f) be the third derivative of 2/33*f**3 + 0*f - f**2 + 0 + 1/44*f**4 + 1/330*f**p. Factor h(u).
2*(u + 1)*(u + 2)/11
Let a(d) = -4*d**4 - 20*d**3 - 24*d**2 - 20*d - 4. Let r(p) = 4*p**4 + 19*p**3 + 24*p**2 + 19*p + 4. Let l(n) = 3*a(n) + 4*r(n). Factor l(o).
4*(o + 1)**4
Let y(v) be the second derivative of v**9/9072 - v**7/2520 - 2*v**3/3 - 3*v. Let u(a) be the second derivative of y(a). Factor u(c).
c**3*(c - 1)*(c + 1)/3
Determine k, given that 2 - 3 + 6*k**4 - 5*k**4 + 2*k - 2*k**3 = 0.
-1, 1
Let l(a) be the first derivative of 1/27*a**4 - 2 - 7/27*a**3 + a - 2/9*a**2 + 7/90*a**5. Let f(n) be the first derivative of l(n). Factor f(o).
2*(o - 1)*(o + 1)*(7*o + 2)/9
Let l(x) be the first derivative of 5*x**6/6 - 2*x**5 + 10*x**3/3 - 5*x**2/2 - 26. Let l(m) = 0. Calculate m.
-1, 0, 1
Let v(q) = 2*q + 68. Let j be v(-32). Let 0*x**3 - 1/4*x**j + 0 + 0*x + 1/4*x**2 = 0. What is x?
-1, 0, 1
Let u(c) be the first derivative of -c**6/12 - c**5/5 - c**4/8 + 6. Factor u(f).
-f**3*(f + 1)**2/2
Let k(o) be the third derivative of 0 - 1/360*o**6 + 0*o**3 + 0*o**4 + 0*o - o**2 + 0*o**5 - 1/630*o**7. Determine q, given that k(q) = 0.
-1, 0
Let n(x) be the second derivative of -7/30*x**5 - 1/15*x**6 + 0 - 2*x - 8/27*x**4 + 0*x**2 - 4/27*x**3. Factor n(g).
-2*g*(g + 1)*(3*g + 2)**2/9
Let b be (-150)/(-35) - 4/14. Let x(u) be the second derivative of u - 1/54*u**b + 0*u**3 + 0 + 1/9*u**2. Factor x(a).
-2*(a - 1)*(a + 1)/9
Let c(w) be the second derivative of -2/27*w**3 - 1/54*w**4 + 0 - 3*w - 1/9*w**2. Factor c(f).
-2*(f + 1)**2/9
Solve 63*c**2 - 65*c**2 + 0*c + 4 + 2*c = 0 for c.
-1, 2
Let t = -43 - -689/16. Let v(p) be the first derivative of 1/4*p**3 + 1/4*p + 2 + t*p**4 + 3/8*p**2. Factor v(j).
(j + 1)**3/4
Let z(r) = r**3 - 12*r**2 + 7*r + 14. Let j be z(11). Let w be (-4)/1 + j/(-7). Factor 6/7*t**4 + 2/7*t**2 + 0*t + w*t**5 + 0 + 6/7*t**3.
2*t**2*(t + 1)**3/7
Let k = 16961/40 + -424. Let u(r) be the third derivative of 4*r**2 + 0*r + 0*r**3 + 0*r**4 + 0 - 1/30*r**5 + k*r**6 - 1/210*r**7. Suppose u(p) = 0. What is p?
0, 1, 2
Let b(c) be the third derivative of c**8/110880 + c**7/27720 - c**6/1980 - c**5/12 + c**2. Let t(z) be the third derivative of b(z). Factor t(j).
2*(j - 1)*(j + 2)/11
Let t(x) be the second derivative of -x**8/10920 + x**7/1365 - x**6/780 - 2*x**3/3 + 9*x. Let k(l) be the second derivative of t(l). Factor k(h).
-2*h**2*(h - 3)*(h - 1)/13
Suppose 21 = -s + 24. Let x(z) be the third derivative of -4/3*z**5 - 2/7*z**7 - 2/3*z**s + 1/24*z**8 + 0*z + 0 - z**2 + 5/4*z**4 + 5/6*z**6. Factor x(f).
2*(f - 1)**4*(7*f - 2)
Let q = -11112/7 + 1592. Let x = q + -121/28. Solve 1/4*b**3 + 0 - 1/4*b**2 - x*b + 1/4*b**4 = 0 for b.
-1, 0, 1
Let o(s) be the second derivative of s**7/14 + s**6/10 - 9*s**5/20 - s**4/4 + s**3 - 2*s. Factor o(c).
3*c*(c - 1)**2*(c + 1)*(c + 2)
Let x(j) be the first derivative of 2*j**5/35 - 13*j**4/28 + 10*j**3/7 - 2*j**2 + 8*j/7 + 5. Factor x(a).
(a - 2)**3*(2*a - 1)/7
Let h = 1 + -8. Let a be ((-4)/(-30))/(h/(-140)). Let -16/3*b + 10/3*b**2 - a = 0. Calculate b.
-2/5, 2
Let x be ((-7)/6)/(2/284). Let t = x - -167. Determine i, given that 2/3 - t*i**2 + 2/3*i = 0.
-1/2, 1
Let w(k) be the third derivative of -k**8/84 - 2*k**7/35 - k**6/10 - k**5/15 + 47*k**2. Factor w(i).
-4*i**2*(i + 1)**3
Let b(z) = -9*z**3 + 17*z. Let x be -5*((-21)/15 + 2). Let i(a) = 3*a**3 - 6*a. Let r(w) = x*b(w) - 8*i(w). Factor r(h).
3*h*(h - 1)*(h + 1)
Let l = 55/9 + -6. Let f(g) be the first derivative of 0*g**2 + 1/15*g**5 - l*g**3 + 0*g**4 + 0*g + 2. Determine v, given that f(v) = 0.
-1, 0, 1
Suppose -9 = -5*h - 2*v - v, 3*v = -4*h + 6. Determine p so that -2 - 1 + 0 + h*p**2 = 0.
-1, 1
Let g be 16/(-9) + 0 + 2. Solve g*k**2 - 4/9 + 2/9*k = 0 for k.
-2, 1
Let a(m) = m**3 + 9*m**2 - 2*m - 16. Let t be a(-9). Let u(n) be the first derivative of 1/8*n**4 - 1/4*n**2 + t + 1/3*n**3 - n. Factor u(k).
(k - 1)*(k + 1)*(k + 2)/2
Let c(r) be the second derivative of r**5/100 + r**4/20 - r**3/30 - 3*r**2/10 + 5*r. Factor c(h).
(h - 1)*(h + 1)*(h + 3)/5
Factor -7*w**3 + 0*w**2 - 78 + 8*w**2 + w**4 + 16*w + 78.
w*(w - 4)**2*(w + 1)
Let l(w) be the second derivative of w**5/15 - w**4/3 + 2*w**3/3 - 2*w**2/3 - 20*w. Solve l(x) = 0 for x.
1
Let b(k) = -2*k**3 - k**2 + 1. Let m be b(-1). What is o in 2*o**3 + 2*o**2 - 3*o**3 + 0*o**m = 0?
0, 2
Find q such that -4*q**4 - 45*q + 14*q - 5*q - 12*q**2 + 20*q**3 = 0.
-1, 0, 3
Let j(b) be the first derivative of 5*b**4/4 + 40*b**3/3 + 40*b**2 + 4. Factor j(o).
5*o*(o + 4)**2
Find v, given that 0*v + 0*v**3 + 4/7*v**2 - 2/7*v**4 - 2/7 = 0.
-1, 1
Let s(h) be the third derivative of -h**6/90 + h**5/45 + h**4/9 - 22*h**2. Factor s(y).
-4*y*(y - 2)*(y + 1)/3
Let q(w) be the first derivative of 1/2*w**6 - 3/2*w**2 + 2*w**3 - 6/5*w**5 + 0*w**4 + 0*w + 1. Factor q(x).
3*x*(x - 1)**3*(x + 1)
Let t(v) be the second derivative of v - 1/2*v**2 - 1/2*v**3 - 3/80*v**5 - 11/48*v**4 + 0. Factor t(w).
-(w + 1)*(w + 2)*(3*w + 2)/4
Let c(f) be the first derivative of 2*f**3/21 - f**2 + 12*f/7 + 60. Determine u so that c(u) = 0.
1, 6
Let q be (52/7)/(4 - 2). Find v such that 30/7*v**2 + 2/7 + 8/7*v**4 - 2*v - q*v**3 = 0.
1/4, 1
Let h = 13/2 + -6. Let g(a) be the first derivative of 1 - 1/8*a**4 - 1/2*a - h*a**3 - 3/4*a**2. Solve g(z) = 0.
-1
Let v(l) = l**2 + 5*l - 3. Let f be v(7). Factor -9*t**2 + 111*t - 39*t**2 - 256 + f*t + 4*t**3.
4*(t - 4)**3
Find m, given that 15/7*m + 3/7*m**2 + 0 = 0.
-5, 0
Let t(v) be the first derivative of -3*v**5/5 + 3*v**4 - 6*v**3 + 6*v**2 - 3*v + 5. Factor t(j).
-3*(j - 1)**4
Let u = 256/95 - 36/19. What is f in 0 + u*f**2 + 8/5*f = 0?
-2, 0
Let q(g) be the second derivative of -g**9/756 - 3*g**8/560 - g**7/140 - g**6/360 - 2*g**3/3 - 3*g. Let b(l) be the second derivative of q(l). Factor b(p).
-p**2*(p + 1)**2*(4*p + 1)
Let r = 79/246 - -1/82. Suppose 0 - 2/3*p - r*p**2 = 0. What is p?
-2, 0
Let h(n) = -2*n - 5. Let s be h(-4). Find p, given that 0 - 6/13*p**s + 2/13*p**4 - 2/13*p + 6/13*p**2 = 0.
0, 1
Let q(s) be the third derivative of s**5/120 + s**4/48 - s**3/6 - 35*s**2. Solve q(o) = 0 for o.
-2, 1
Let f(u) = -24*u**3 + 11