Let n(o) be the third derivative of o**6/120 - 8*o**2. Find j such that n(j) = 0.
0
Let p be (1/1)/(-5 + 6). Let l be 1/(-1*p/(-4)). Factor -n + 1/2*n**2 + 5/2*n**l + 0 + 4*n**3.
n*(n + 1)**2*(5*n - 2)/2
Let o be 12/9*(1 - -5). Let n = 11 - o. Factor 0 + 2/3*i**n + 2/3*i - 4/3*i**2.
2*i*(i - 1)**2/3
Let l(m) be the second derivative of -m**7/210 - m**6/50 - 3*m**5/100 - m**4/60 + 5*m. Determine j, given that l(j) = 0.
-1, 0
Let o(c) = -3*c**3 - 3*c**2 - 4*c. Let g(f) = -8*f**3 - 8*f**2 - 11*f. Let p be 1/(1/22*2). Let v = -2 + -2. Let y(b) = p*o(b) + v*g(b). Factor y(u).
-u**2*(u + 1)
Suppose -4*i + 2 = -2*w, 0 = 3*i - 0*i - 3*w + 3. Let c(j) be the first derivative of 2/15*j**3 + 4/5*j - 3/5*j**i - 1. Find z, given that c(z) = 0.
1, 2
Let p be (0 - 0) + 3*1. Suppose -o - 4 = 0, 4*v - 2*o - 23 + p = 0. Determine m, given that -1/2*m**2 + 7/4*m**4 + 5/4*m**v + 0 + 0*m = 0.
-1, 0, 2/7
What is k in 3/2*k**2 + 3*k + 0 = 0?
-2, 0
Determine i, given that -29*i - 6*i**3 - i**3 + 6 + 45*i**2 - 15*i**2 = 0.
2/7, 1, 3
Determine n so that 551 - 16*n - 4*n**2 - 551 = 0.
-4, 0
Let r(h) = 2*h - h - h**3 - 2 + 3. Let d(w) = 10*w**3 - 6*w**2 - 18*w - 14. Let q = 6 - 5. Let s(c) = q*d(c) + 12*r(c). Factor s(i).
-2*(i + 1)**3
Let n(h) be the third derivative of 0*h - 1/16*h**4 + 1/120*h**5 + 0 - 5*h**2 + 0*h**3. Suppose n(x) = 0. What is x?
0, 3
Let v(l) be the second derivative of l**4/3 - 5*l**3/6 + 2*l**2 - 3*l. Let x(a) = -7*a**2 + 9*a - 7. Let y(w) = -5*v(w) - 3*x(w). Factor y(i).
(i - 1)**2
Determine g, given that 0 + 33/8*g**2 - 9/8*g - 39/8*g**3 + 15/8*g**4 = 0.
0, 3/5, 1
Let m(a) be the second derivative of a**2 - 1/60*a**5 + a + 0 + 0*a**3 + 1/24*a**4. Let y(j) be the first derivative of m(j). Factor y(o).
-o*(o - 1)
Factor -2*i**5 + 0*i**2 + 0 + 18/7*i**4 + 0*i - 4/7*i**3.
-2*i**3*(i - 1)*(7*i - 2)/7
Let j(b) be the third derivative of b**6/780 + b**5/195 - b**4/52 + 10*b**2. Factor j(n).
2*n*(n - 1)*(n + 3)/13
Let p(a) be the third derivative of -a**8/154 - 83*a**7/1155 - 4*a**6/15 - 37*a**5/110 - 3*a**4/22 + 17*a**2. Suppose p(q) = 0. What is q?
-3, -2/3, -1/4, 0
Let x(f) be the third derivative of f**2 + 0*f + 0 - 1/30*f**4 - 1/15*f**3 + 1/50*f**5. Solve x(b) = 0 for b.
-1/3, 1
Suppose 0 = j + r - 0*r - 9, -r = -4. Factor -5*w**2 + 2*w**2 + j*w**2 + w**5 + 4*w**4 + 0*w**2 + 5*w**3.
w**2*(w + 1)**2*(w + 2)
Let x(a) be the third derivative of a**5/30 - a**4/15 - a**3/15 + 4*a**2. Solve x(f) = 0 for f.
-1/5, 1
Let p(w) be the second derivative of -w**7/840 - w**6/240 + w**5/20 - w**4/6 + 4*w. Let i(g) be the third derivative of p(g). Suppose i(k) = 0. What is k?
-2, 1
Let -10*b**4 + 16*b**4 - 15*b + 3*b**3 + 9*b**2 - 9*b**4 + 6 = 0. Calculate b.
-2, 1
Let q = 22 + -10. Find v such that -4*v**2 + 4*v**4 + 2*v**5 + 10*v**3 - q*v**3 + 0*v**2 = 0.
-2, -1, 0, 1
Let q be 232/(-160) - 6/(-4). Let o(a) be the first derivative of q*a**5 + 1 + 0*a + 5/12*a**3 - 1/4*a**4 - 1/4*a**2. Factor o(l).
l*(l - 2)*(l - 1)**2/4
Suppose -5*r = -5*n - 8*r + 22, 4*n + r = 12. Let m be 8/(-24) - n/(-3). Find q, given that 0*q + m*q**4 - 2/3*q**2 + 0*q**3 + 1/3 = 0.
-1, 1
Let g(h) be the third derivative of h**7/420 - h**6/45 + h**5/15 + h**3/6 + 3*h**2. Let v(t) be the first derivative of g(t). Factor v(z).
2*z*(z - 2)**2
Let r = -9 - -20. Suppose 5 = -c + r. Factor 12*z - 2*z**2 - c - 7*z**2 - 33*z.
-3*(z + 2)*(3*z + 1)
Let n = -356 - -359. Factor -1/4*v**4 + 1/2*v + 1/4*v**2 + 0 - 1/2*v**n.
-v*(v - 1)*(v + 1)*(v + 2)/4
Factor -6*u**2 - 6*u**4 - 9*u**3 + 8*u**2 + 18*u**4 - 5*u**5.
-u**2*(u - 1)**2*(5*u - 2)
Let b(s) be the first derivative of 2*s**5/35 - 3*s**4/14 + 2*s**3/7 - s**2/7 - 2. Factor b(f).
2*f*(f - 1)**3/7
Let k(d) = d - 6. Let t be k(11). Factor 2*v**t - v**4 + 14*v**3 - 12*v**3 - 3*v**4.
2*v**3*(v - 1)**2
Factor 0 + 1/7*x**2 + 0*x.
x**2/7
Let j be 0/(-6*1/(-3)). Let b(g) be the third derivative of 0 - 3*g**2 + 0*g**5 + 0*g + j*g**3 - 1/945*g**7 - 1/540*g**6 + 0*g**4. Determine w so that b(w) = 0.
-1, 0
Let l(j) be the second derivative of j**6/195 - 7*j**5/130 - 3*j - 4. Factor l(q).
2*q**3*(q - 7)/13
Suppose 2*a - a - 5 = 0. Let c**4 + c**3 - 4*c**5 + 4*c**2 - a*c**4 + 3*c**3 = 0. What is c?
-1, 0, 1
Suppose 3*t + t = 16. Factor -3*d - 2*d**3 + d**t - d + 6*d + 1 - 2*d**4.
-(d - 1)*(d + 1)**3
Let u(s) be the third derivative of -s**5/30 + s**4/2 - 3*s**3 + 6*s**2. Factor u(f).
-2*(f - 3)**2
Let m be 3/(12/32) - 1. Suppose 0 = 3*t - m*t. Factor 1/4*u**5 + 0 + 0*u + t*u**2 - 1/4*u**3 + 0*u**4.
u**3*(u - 1)*(u + 1)/4
Suppose 0 = -s + 5*u + 19, -4*u - 4 = 5*s - 12. Suppose -4 = -0*t + 4*t, -s = -3*l - 2*t. Solve -4*d + 2*d**2 + 6*d**2 - l*d**2 - 2*d**3 = 0 for d.
0, 1, 2
Find j, given that 2197/4*j**3 + 39*j + 507/2*j**2 + 2 = 0.
-2/13
Suppose 2*f = -0*f + 4. Let -5*r**3 + 13*r**3 - 3*r**2 - 6*r**4 + r**f = 0. What is r?
0, 1/3, 1
Let u(i) be the third derivative of 0*i**6 + 1/60*i**5 + 0*i - 1/210*i**7 - 5*i**2 + 0*i**4 + 0*i**3 + 0. Factor u(p).
-p**2*(p - 1)*(p + 1)
Let m(a) = 6*a**4 - 18*a**3 + 18*a**2 - 2*a. Let p(b) = 19*b**4 - 55*b**3 + 55*b**2 - 7*b. Let i(n) = -7*m(n) + 2*p(n). Factor i(c).
-4*c**2*(c - 2)**2
Let q(v) = -10*v**3 - 14*v. Let x(o) = 6*o**3 + 9*o. Let s(n) = -5*q(n) - 8*x(n). Factor s(k).
2*k*(k - 1)*(k + 1)
Suppose 3*r - 5*q - 10 = 8*r, -3*q = -9. Let m = 7 + r. Factor 2*y**2 - 2*y**4 + 3*y**3 + y**5 + 5*y**4 - y**m.
y**2*(y + 1)**3
Let i(r) = 6*r**3 - 3*r**2 + r + 2. Let c be i(2). Let m = c + -119/3. Factor 8/3*w + m*w**5 - 4/3 - 5/3*w**3 - 1/3*w**2 + 1/3*w**4.
(w - 1)**3*(w + 2)**2/3
Factor 6*p**2 - 18*p + 18 - 2/3*p**3.
-2*(p - 3)**3/3
Let s be -3 - (-3 - (0 + 2)). Let h(b) be the first derivative of 2/39*b**3 - 4 + 3/13*b**s + 4/13*b. Factor h(c).
2*(c + 1)*(c + 2)/13
Let f(j) be the first derivative of -j**7/42 - j**6/15 + j**5/20 + j**4/6 - 4*j - 2. Let z(v) be the first derivative of f(v). Factor z(y).
-y**2*(y - 1)*(y + 1)*(y + 2)
Let h(f) be the third derivative of f**7/5460 - f**6/1170 + f**5/780 - 7*f**3/6 - 7*f**2. Let g(k) be the first derivative of h(k). Find q such that g(q) = 0.
0, 1
Let v(x) be the second derivative of -10*x - 1/25*x**5 + 2/5*x**3 - 4/5*x**2 + 0*x**4 + 0. Factor v(a).
-4*(a - 1)**2*(a + 2)/5
Let u = 21 + -13. Let z = u + -5. What is h in -2/3*h**z + 2*h - 4/3 + 0*h**2 = 0?
-2, 1
Let r be 10 + -2 + (-1 - -1). Let k = -6 + r. Determine f so that 3*f - 2*f**2 - 2*f**3 + 0*f**k - 3 + 5 - f = 0.
-1, 1
Let m = 36 - 34. Factor -4/5 - 2/5*d**m - 6/5*d.
-2*(d + 1)*(d + 2)/5
Let k(y) = y**2 + 26*y + 72. Let g be k(-23). Solve -g*v - 1/5*v**3 - 9/5 - 7/5*v**2 = 0.
-3, -1
Let n(c) be the second derivative of -2*c**6/5 + 7*c**5/5 + c**4/3 - 14*c**3/3 + 4*c**2 + 7*c. Suppose n(l) = 0. Calculate l.
-1, 1/3, 1, 2
Factor 0*s - 40*s**2 - 3*s + 7*s - 48*s**3 + 20*s**3 + 16.
-4*(s + 1)**2*(7*s - 4)
Let s(n) be the second derivative of -2*n**6/3 + 3*n**5/4 + 15*n**4/4 + 5*n**3/3 - 14*n. Factor s(b).
-5*b*(b - 2)*(b + 1)*(4*b + 1)
Let r(l) be the first derivative of 2/3*l**4 - 14/45*l**5 - 5 - 2/9*l**2 - 2/9*l**3 + 0*l. Let r(z) = 0. What is z?
-2/7, 0, 1
Factor -1/7*t**3 + 1/7*t**4 + 0 + 1/7*t**5 + 0*t - 1/7*t**2.
t**2*(t - 1)*(t + 1)**2/7
Suppose 35 = -0*r + 5*r. Factor -2*d**2 - d**3 - d + r*d**2 - 3*d**2.
-d*(d - 1)**2
Let k(j) = -j**2 - j. Let b(v) = -2*v**4 + 4*v**3 - 8*v**2 - 22*v - 8. Let g(i) = -2*b(i) + 28*k(i). Factor g(h).
4*(h - 2)**2*(h + 1)**2
Let p(w) be the second derivative of 5*w**7/42 - w**6/3 - 3*w**5/4 - 2*w. Factor p(k).
5*k**3*(k - 3)*(k + 1)
Let x(t) = t - 1. Let g(f) = f**2 - 5*f + 4. Let k(i) = -g(i) - 4*x(i). Factor k(a).
-a*(a - 1)
Let x = -15 - -15. Let h(v) be the third derivative of x*v - 1/15*v**3 - 1/150*v**5 + 0 - 2*v**2 - 1/30*v**4. Factor h(j).
-2*(j + 1)**2/5
Let 16*m - 4 - 3*m**4 - 1 + 9*m**2 - 6*m**3 - 4*m - 7 = 0. Calculate m.
-2, 1
Let w(l) be the second derivative of l**3/6 + l**2/2 + 3*l. Let s be w(2). Solve -2*x**s - 6*x**4 - x**3 + 4*x**3 + 8*x**2 + 4*x - 2 - 5*x**3 = 0.
-1, 1/3, 1
Factor -18 + 21*i - i**2 - 9*i**2 + 3*i + 18*i**4 - 24*i**3 + 10.
2*(i - 1)*(i + 1)*(3*i - 2)**2
Let c(r) = -r**2 + 2*r - 1. Let d(u) = -u + 1. Let b(y) = c(y) + 4*d(y). What is v in b(v) = 0?
-3, 1
Suppose 29*m = 8*m. Find p, given that m + 3/5*p**2 + 0*p = 0.
0
Factor -6*u - 2*u**2 + 10 - 11*u + 