0 + 2*n**3/3 - 5*n**2 - 24*n. Suppose o(x) = 0. What is x?
5
Let y(r) be the third derivative of r**6/360 + r**5/90 - r**4/72 - r**3/9 + 6*r**2. Factor y(w).
(w - 1)*(w + 1)*(w + 2)/3
Let b(s) be the third derivative of s**7/42 + s**6/24 - s**5/12 - 5*s**4/24 - 6*s**2 + 2. What is y in b(y) = 0?
-1, 0, 1
Let x(v) be the first derivative of -v**6/6 + 3*v**4/4 - 2*v**3/3 - 7. Factor x(j).
-j**2*(j - 1)**2*(j + 2)
Let f = -18/179 - -556/1969. Let v be (2 - (-2 + 1)) + 1. What is m in f*m**v + 0*m**3 + 0*m - 2/11*m**2 + 0 = 0?
-1, 0, 1
Factor -8/3*j + 0 - 4*j**2.
-4*j*(3*j + 2)/3
Let c(i) be the first derivative of 0*i**2 + 5 - 2/65*i**5 + 0*i + 0*i**3 - 1/26*i**4. Factor c(h).
-2*h**3*(h + 1)/13
Let l(a) be the second derivative of -a**4/90 + 4*a**2/15 + 42*a. Factor l(d).
-2*(d - 2)*(d + 2)/15
Let n be 4 + 3*(-8)/12. Factor -2*q**n - 2*q**2 + 3*q**5 - 9*q**4 + q**2 + 9*q**3.
3*q**2*(q - 1)**3
Let v(k) be the third derivative of k**5/20 + 3*k**4/4 + 9*k**3/2 - 9*k**2. Let v(n) = 0. What is n?
-3
Let h(i) be the third derivative of i**5/16 - 9*i**4/8 + 7*i**3/8 - 6*i**2 - 4*i. Determine r so that h(r) = 0.
1/5, 7
Let g = -2 - -4. Determine z so that 0 - z + z**3 + g - z**4 - 2 + z**2 = 0.
-1, 0, 1
Determine m so that -8/15*m - 2/15*m**4 + 2/5 - 4/15*m**2 + 8/15*m**3 = 0.
-1, 1, 3
Let n = -6 + 10. Let t be n - 0 - (-4)/(-1). Factor 0*m**4 + 2/9*m**5 + t*m + 0 + 0*m**2 - 2/9*m**3.
2*m**3*(m - 1)*(m + 1)/9
Let q(h) = 6*h**2 + h + 2. Let z(b) = -5*b**2 - b - 2. Let j = 1 - 7. Let u(l) = j*q(l) - 7*z(l). Factor u(k).
-(k - 2)*(k + 1)
Suppose 2 = 5*i - 13. Factor -3*s**3 - 3*s**i + 4*s**3 + 4*s**5 - 2*s**5.
2*s**3*(s - 1)*(s + 1)
Let a(w) be the third derivative of 0 + 0*w + 2/175*w**7 + 3/560*w**8 + 0*w**4 + 0*w**3 + 1/200*w**6 + w**2 + 0*w**5. Determine g so that a(g) = 0.
-1, -1/3, 0
Let t(o) be the first derivative of -o**3/21 + o**2/14 + 2*o/7 + 5. Factor t(b).
-(b - 2)*(b + 1)/7
Let s = 3 - 2. Factor -5*g**4 - s + 3*g**2 - 1 + 4*g**4 + g - g**3.
-(g - 1)**2*(g + 1)*(g + 2)
Factor 46*m**3 - m**4 + m**2 - 2*m - 43*m**3 - m**5 + 0*m**5.
-m*(m - 1)**2*(m + 1)*(m + 2)
Let z = 869 + -865. Determine g, given that 2/7*g + 0 + 4/7*g**z + 0*g**3 - 2/7*g**5 - 4/7*g**2 = 0.
-1, 0, 1
Let f(d) be the first derivative of d**5/20 - 3*d**4/16 + d**3/6 - 6. Suppose f(z) = 0. Calculate z.
0, 1, 2
Let y be 6/(-80) - 27/(-135). Let 0*a + y - 1/8*a**2 = 0. Calculate a.
-1, 1
Suppose 0 = 3*h - 5*i + 8, 0 = -3*h + 2*h - i - 8. Let n = h - -6. Let -1/2*u**4 - 1/2 + 0*u**3 + n*u + u**2 = 0. What is u?
-1, 1
Let -1/10*w**2 - 3/10 - 2/5*w = 0. What is w?
-3, -1
Let s be ((-4 + 3)/(-1))/((-10)/(-16)). Suppose -4/5 - s*k**2 - 2*k - 2/5*k**3 = 0. What is k?
-2, -1
Let c(q) be the first derivative of q**4/30 - q**3/15 - 3*q - 2. Let a(b) be the first derivative of c(b). Find i, given that a(i) = 0.
0, 1
Let z be 2*(-7)/(140/(-8)). Let a(l) be the first derivative of 1/6*l**6 + 1/2*l**2 + 3/2*l**4 - 4/3*l**3 + 1 + 0*l - z*l**5. Let a(v) = 0. What is v?
0, 1
Suppose -4*o - 3*w = -11, 2*w = 5*o - 8 - 0. What is h in h**2 - 3*h**2 + h**2 - h**o - h**3 = 0?
-2, 0
Let n(j) be the first derivative of j**4/4 - 2*j**3/3 - j**2/2 + 2*j + 5. Factor n(x).
(x - 2)*(x - 1)*(x + 1)
Let a(s) be the second derivative of -s**6/540 - s**5/180 - 7*s**3/6 - 5*s. Let k(v) be the second derivative of a(v). Factor k(c).
-2*c*(c + 1)/3
Factor -3*s**3 + 28*s + 8*s**2 + 24*s**2 + 6*s**3 + 5*s**3 - 8*s**4 - 4*s**5 + 8.
-4*(s - 2)*(s + 1)**4
Let a(s) be the third derivative of 2*s**7/35 + 11*s**6/30 - s**5/15 - 19*s**4/6 + 4*s**3 + 20*s**2. Suppose a(r) = 0. Calculate r.
-3, -2, 1/3, 1
Suppose -3*t - t = 0. Let y(h) be the third derivative of 1/72*h**4 - 1/315*h**7 + 0*h**6 + t - 1/1008*h**8 - h**2 + 0*h**3 + 1/90*h**5 + 0*h. Factor y(p).
-p*(p - 1)*(p + 1)**3/3
Let j(c) be the third derivative of c**7/315 - c**6/60 + c**5/30 - c**4/36 - 8*c**2. What is l in j(l) = 0?
0, 1
Factor -16*u**2 + 0*u**4 - 16*u + 4*u**3 - u**4 + 5*u**4.
4*u*(u - 2)*(u + 1)*(u + 2)
Let k(w) be the second derivative of w**7/315 + 4*w**6/225 + w**5/30 + w**4/45 + 23*w. Find o such that k(o) = 0.
-2, -1, 0
Let h be (0/10)/(0 - 2). Let b(v) be the third derivative of 0*v**4 + 0 - v**2 + 1/210*v**7 + 0*v + h*v**3 - 1/120*v**6 + 0*v**5. Factor b(i).
i**3*(i - 1)
Suppose 0 = -18*d - 30 + 84. Factor -6/5*p - 3/5*p**5 + d*p**4 + 0 - 27/5*p**3 + 21/5*p**2.
-3*p*(p - 2)*(p - 1)**3/5
What is s in -4*s**3 + 0 + s + 1/2*s**2 + 5/2*s**4 = 0?
-2/5, 0, 1
Let r(g) be the third derivative of -2*g**5/135 + 5*g**4/108 - g**3/27 + 8*g**2. Factor r(k).
-2*(k - 1)*(4*k - 1)/9
Let m be 4/6 + 21/9. Suppose 2*x - 4 = x. Suppose -1/2*r**5 + 0 + 2*r**2 + 2*r**x - 1/2*r - 3*r**m = 0. What is r?
0, 1
Let z(x) be the first derivative of 3/2*x**2 + 3/2*x - 6 + 1/2*x**3. Determine w, given that z(w) = 0.
-1
Let x = 16 + -16. Factor 1/4 - 5/2*h**2 + x*h + 5*h**3 - 15/4*h**4 + h**5.
(h - 1)**4*(4*h + 1)/4
Let m(b) be the first derivative of -5/24*b**4 - 3/2*b**2 + 1/3*b**3 + 1/15*b**5 + 0*b - 1/120*b**6 + 3. Let q(d) be the second derivative of m(d). Factor q(n).
-(n - 2)*(n - 1)**2
Let y be (6 - 7)*(-834)/(-15). Let l = 56 + y. Let 2/5*v - l*v**2 + 2/5 - 2/5*v**3 = 0. Calculate v.
-1, 1
Let d be (-25)/(-100)*(7 + 1) - -2. Factor 1/4*o**5 + 1/4*o + 1/2*o**2 - 1/4*o**d - 1/2*o**3 - 1/4.
(o - 1)**3*(o + 1)**2/4
Factor 1/3*h**3 + 0 + 0*h + 1/3*h**2.
h**2*(h + 1)/3
Let u(o) be the first derivative of o - 1/4*o**3 - 1/2*o**2 + 6. Determine a, given that u(a) = 0.
-2, 2/3
Let f(i) be the first derivative of -i**3/6 - i**2/4 + i - 7. Solve f(p) = 0 for p.
-2, 1
Find g, given that -4/5*g**2 + 2/5*g**3 + 0 + 2/5*g = 0.
0, 1
Let n = -3 + 11. Let y = n + -5. Factor -m**2 + m - 2*m + 0*m + y*m**2 - m**3.
-m*(m - 1)**2
Let p(n) = n**3 - 12*n**2 + 12*n + 2. Let z(f) = 15*f**3 - 192*f**2 + 192*f + 33. Let h(k) = -33*p(k) + 2*z(k). Factor h(b).
-3*b*(b - 2)**2
Let k(i) = 7*i**2 - 4*i. Let t(c) = -10*c - 3*c + 12*c - 36*c**2 + 22*c. Let m(d) = 21*k(d) + 4*t(d). Factor m(j).
3*j**2
Let t be (-1754)/(-1680) + (-12)/42. Let w = t + 1/24. Solve -1/5*h**5 + 3/5*h**4 + 0*h**3 + 0 - w*h**2 + 0*h = 0.
-1, 0, 2
Let o(g) be the second derivative of g**5/50 + g**4/10 + g**3/5 + g**2/5 + 36*g. What is h in o(h) = 0?
-1
Find h, given that 4*h**5 + 12*h**3 - 3*h - 5*h**5 - 2*h**5 - 6*h + 6*h**2 - 6 = 0.
-1, 1, 2
Find k, given that -4/7*k**3 + 0*k**2 + 12/7*k + 8/7 = 0.
-1, 2
Suppose 0 = -3*u + 9*u. Let f(t) be the third derivative of -1/8*t**4 + u*t**3 + 2*t**2 + 0*t + 1/20*t**6 + 0*t**5 + 0 - 1/112*t**8 + 0*t**7. Factor f(h).
-3*h*(h - 1)**2*(h + 1)**2
Let z(f) be the third derivative of f**7/13860 - f**6/1980 + f**5/660 - f**4/8 + 4*f**2. Let o(m) be the second derivative of z(m). Factor o(k).
2*(k - 1)**2/11
Let 0 + 4/13*h**2 + 2/13*h**4 + 6/13*h**3 + 0*h = 0. What is h?
-2, -1, 0
Let m be 2/4*48/(-4). Let b be 1/(-6) - 4/m. Factor 0*q + 0 + 1/2*q**3 + b*q**2.
q**2*(q + 1)/2
Let x(r) be the second derivative of r**5/5 - r**4/3 - 2*r**3/3 + 2*r**2 + 3*r. Let x(k) = 0. What is k?
-1, 1
Suppose -n + 2*d - 3 = 0, 2 = 4*d - 2*d. Let o = n - -5. Let -6*a - 19*a**2 + 21*a**o + 4*a**2 + 4 + 22*a**3 - 6*a = 0. What is a?
-1, 2/7, 2/3
Find z, given that 4/3*z**3 - 4/3*z - 2/3*z**4 + 0*z**2 + 2/3 = 0.
-1, 1
Let x = 107 + -104. Factor -1/2 + 1/2*y**x + 7/4*y - 7/4*y**2.
(y - 2)*(y - 1)*(2*y - 1)/4
Let v(k) = -k**2 - 8*k - 4. Let m be v(-8). Let h = -1 - m. What is x in 2/11*x**2 - 2/11*x**4 + 0 + 4/11*x - 10/11*x**h + 6/11*x**5 = 0?
-1, -2/3, 0, 1
Let o(x) = -x + 5. Let f be 10/(-8)*(-5 + 1). Let s be o(f). Let h**4 + s + 1/3*h**5 + h**3 + 0*h + 1/3*h**2 = 0. Calculate h.
-1, 0
Let b(j) be the second derivative of -1/42*j**7 + 4/45*j**6 + 0 + 1/18*j**4 + 0*j**3 - 7/60*j**5 - j + 0*j**2. Let b(q) = 0. Calculate q.
0, 2/3, 1
Let m(t) be the second derivative of 0 - 4*t - 1/4*t**4 - t**3 - 3/2*t**2. Factor m(p).
-3*(p + 1)**2
Suppose -5*u + 0*u - 4*i - 6 = 0, 4*i + 14 = -u. Let 1/4*k**u - 1/4*k + 0 = 0. Calculate k.
0, 1
Let k(n) = -6*n**3 - 54*n**2 - 155*n - 162. Let y(a) = 3*a**3 + 27*a**2 + 78*a + 81. Let w(z) = 3*k(z) + 7*y(z). Factor w(l).
3*(l + 3)**3
Let m(a) be the second derivative of a**4/6 - 2*a**3/9 + a**2/9 + 17*a. Determine v so that m(v) = 0.
1/3
Let v(o) = 176*o**4 + 604*o**3 + 660*o**2 +