What is z in i(z) = 0?
0, 1
Let x(g) be the third derivative of -g**7/10080 - g**4/12 + g**2. Let t(b) be the second derivative of x(b). Solve t(s) = 0.
0
Let x = 5 + -3. Let o = 8 + -5. Factor -3*z**3 + 4*z**o - z - 2*z**2 + 0*z - x*z**3.
-z*(z + 1)**2
Let o(g) = -g**2 - 3*g + 2. Let m(r) = 3*r**2 + 7*r - 5. Let w(a) = 2*m(a) + 5*o(a). Let h(c) = 8*c**2 - 8*c. Let t(y) = -2*h(y) + 14*w(y). Factor t(k).
-2*k*(k - 1)
Let f = -6759/5 + 1353. Solve 4/5*n**3 + 0*n + 2/5 - f*n**2 = 0 for n.
-1/2, 1
Let t(z) = -48*z**2 - 141*z - 363. Suppose 5*d - 3*j - 14 - 18 = 0, d + j = 0. Let w(s) = -7*s**2 - 20*s - 52. Let x(p) = d*t(p) - 27*w(p). Factor x(n).
-3*(n + 4)**2
Solve -8/23*m**4 + 0 + 4/23*m**2 + 0*m + 6/23*m**5 - 2/23*m**3 = 0 for m.
-2/3, 0, 1
Let r = -24/7 + 26/7. Factor -2/7*m**5 + 0 + 0*m - r*m**4 + 0*m**2 + 4/7*m**3.
-2*m**3*(m - 1)*(m + 2)/7
Let d(z) be the second derivative of -z**7/210 + 2*z**6/75 + 11*z**5/100 + z**4/10 - 38*z. Factor d(v).
-v**2*(v - 6)*(v + 1)**2/5
Suppose -m + 0*m = 5*i, 0 = -3*m + 2*i. Let z(c) be the second derivative of -3*c + m + 1/6*c**4 + 1/6*c**3 + 1/20*c**5 + 0*c**2. Factor z(h).
h*(h + 1)**2
Let g(x) = -4*x**2 + 10*x - 4. Let r be g(2). Suppose r + 0*a**2 + 0*a - 1/2*a**3 = 0. Calculate a.
0
Let o(b) be the third derivative of b**5/30 + b**4/3 + 4*b**3/3 - 11*b**2. Solve o(p) = 0 for p.
-2
Let q(i) = i**4 + i**3 + i + 1. Let x(y) = 2*y**5 + 4*y**4 + 2*y**3 - 2*y - 2. Let l(m) = 4*q(m) + 2*x(m). Factor l(v).
4*v**3*(v + 1)*(v + 2)
Let w(u) be the second derivative of -u**7/105 + 2*u**6/75 + u**5/50 - u**4/15 + 27*u. Solve w(o) = 0 for o.
-1, 0, 1, 2
Let h be -1 + -1 + (2 + 0)*1. Let v(y) be the second derivative of 2/75*y**6 + 2*y - 1/50*y**5 + h*y**4 - 1/105*y**7 + 0*y**2 + 0 + 0*y**3. Factor v(a).
-2*a**3*(a - 1)**2/5
Let z(p) be the second derivative of 5/48*p**4 + 1/24*p**3 + 0 - p + 1/30*p**6 + 0*p**2 + 1/10*p**5. Suppose z(o) = 0. What is o?
-1, -1/2, 0
Let h(q) be the first derivative of -q**6/360 + q**5/90 - q**4/72 - q**2/2 + 4. Let a(r) be the second derivative of h(r). Let a(b) = 0. What is b?
0, 1
Let i = 1 - -6. Factor -2*n - 2*n + 9*n**3 + i*n - 9*n**2 - 3*n**4.
-3*n*(n - 1)**3
Let w(o) be the first derivative of -o**7/945 - o**6/540 + o**5/270 + o**4/108 - o**2/2 - 1. Let z(r) be the second derivative of w(r). Factor z(d).
-2*d*(d - 1)*(d + 1)**2/9
Let m(b) be the second derivative of 2/3*b**3 - 9*b - b**4 - 2/15*b**6 + 0*b**2 + 3/5*b**5 + 0. Suppose m(w) = 0. Calculate w.
0, 1
Let c(t) = t**2 - 4*t + 2. Let z = 8 + -4. Let p be c(z). Factor 0 - 2/9*l**3 + 2/9*l**p + 4/9*l.
-2*l*(l - 2)*(l + 1)/9
Let m(g) be the first derivative of g**6/36 - g**5/10 + g**4/24 + g**3/6 - g**2/6 - 13. Factor m(q).
q*(q - 2)*(q - 1)**2*(q + 1)/6
Factor 6*q**4 + 2*q - 3*q**2 + 4 - 3*q**2 - 4*q**2 - 2*q**3.
2*(q - 1)**2*(q + 1)*(3*q + 2)
Suppose p + 14 = -0*g - 3*g, -6 = 2*g. Let y be 9/10 + 2/p. Let y*u**3 - 1/2*u**2 - 1/2*u + 1/2 = 0. Calculate u.
-1, 1
Let n be (-3)/12 - (-38)/120. Let p(w) be the first derivative of -n*w**3 + 1/10*w**2 + 2 + 0*w. Factor p(s).
-s*(s - 1)/5
Factor 5*b + 7*b**2 - 3*b**2 + b**2.
5*b*(b + 1)
Find t such that t**5 + 14*t**4 + 20*t**3 - 10 + 0*t**5 + 146*t**2 - 150*t**2 - 22*t + t**5 = 0.
-5, -1, 1
Let t be 1/(-105)*3 + 9/15. What is b in 6/7*b**3 + 0*b + 0 - t*b**2 = 0?
0, 2/3
Let d = 28 - 16. Suppose 18*s**2 - 24*s**4 + 10*s**2 + 6*s - d*s**5 - 2 + 8*s**3 - 2 - 2*s**5 = 0. Calculate s.
-1, 2/7, 1
Suppose -3*p = -3*d - 0*d, -3*d + 2*p = 2. Let o be d/(-6)*-10 - -4. Find s, given that -2*s**5 + 2*s**3 + 0 + 2/3*s**2 + 0*s - o*s**4 = 0.
-1, -1/3, 0, 1
What is p in 4*p + 20*p**4 + 33*p**3 - 28*p**3 + 39*p**3 + 28*p**2 = 0?
-1, -1/5, 0
Let h(p) be the first derivative of p**5/100 - p**4/15 + p**3/10 - 7*p + 4. Let d(x) be the first derivative of h(x). Factor d(a).
a*(a - 3)*(a - 1)/5
Let d(i) be the third derivative of -i**8/504 + i**6/90 - i**4/36 + 3*i**2. Suppose d(t) = 0. Calculate t.
-1, 0, 1
Suppose 130*t = 123*t + 28. Let r = -53/8 - -547/56. Suppose 8/7*m**5 - 2/7*m**2 - r*m**t + 18/7*m**3 - 2/7*m + 0 = 0. Calculate m.
-1/4, 0, 1
Let p(u) be the second derivative of 2*u**6/135 - 17*u**5/90 + 5*u**4/6 - u**3 - 3*u**2 - 11*u. Let p(t) = 0. Calculate t.
-1/2, 3
Let l be (-17)/(1 + 0 - 2). Let r(t) = 7*t**2 - 89*t + 54. Let p(m) = 2*m**2 - 30*m + 18. Let j be (12/14)/((-3)/21). Let v(n) = j*r(n) + l*p(n). Factor v(k).
-2*(2*k - 3)**2
Let f be (-1 - 12/30)*-5 + -2. Solve 1/6*l**f - 2*l + 11/6*l**3 - l**4 + 4/3 - 1/3*l**2 = 0 for l.
-1, 1, 2
Let p(b) be the third derivative of -b**5/45 - b**4/36 - 4*b**2. Find g such that p(g) = 0.
-1/2, 0
Let s(q) be the second derivative of q**4/12 + 5*q**3/6 - q. Let d be s(-5). Factor -2/7*u**4 + 0*u**3 + d + 0*u + 2/7*u**2.
-2*u**2*(u - 1)*(u + 1)/7
Let v(d) be the third derivative of -d**7/2520 + d**6/360 - d**5/180 - 5*d**3/6 - 3*d**2. Let f(t) be the first derivative of v(t). Find g, given that f(g) = 0.
0, 1, 2
Let n be (-504)/7*(-31)/(-15). Let y = n - -150. Factor -22/5*i**4 + 2/5 - 2/5*i - 12/5*i**2 + 28/5*i**3 + y*i**5.
2*(i - 1)**4*(3*i + 1)/5
Let v(x) be the second derivative of -5*x**4/12 - 5*x**3/6 + 15*x**2 + 45*x. Factor v(w).
-5*(w - 2)*(w + 3)
Factor -2/21*x + 4/21 - 2/21*x**2.
-2*(x - 1)*(x + 2)/21
Let y(j) = 7*j**3 + 8*j**2 - 6. Let g(u) = -8*u**3 - 8*u**2 - u + 5. Let f(r) = -3*g(r) - 4*y(r). Factor f(s).
-(s - 1)*(2*s + 3)**2
Let a = 21 - 21. Let i(l) be the second derivative of 0 + a*l**6 + 0*l**3 - l + 0*l**4 - 1/147*l**7 + 0*l**2 + 1/70*l**5. Factor i(g).
-2*g**3*(g - 1)*(g + 1)/7
Determine k, given that -4*k**2 + 7*k - 2*k + 3*k**2 + 6 = 0.
-1, 6
Let f(m) be the third derivative of -2*m**2 + 0*m + 7/120*m**6 + 11/24*m**4 - 1/3*m**3 - 4/15*m**5 + 0. Factor f(s).
(s - 1)**2*(7*s - 2)
Let r be (-18)/60*(-8 + 6). Let f = 0 + 0. Factor f*m + 0 + r*m**2.
3*m**2/5
Let q(x) = 4*x**2 - 13*x + 4. Let n(v) = 4*v**2 - 12*v + 3. Let y(z) = -6*n(z) + 5*q(z). Factor y(l).
-(l - 2)*(4*l + 1)
What is j in 0*j**2 - 3/4 + 7/8*j - 1/8*j**3 = 0?
-3, 1, 2
Let f(y) be the second derivative of y**5/40 + y**4/24 - y**3/2 - 10*y - 2. Factor f(h).
h*(h - 2)*(h + 3)/2
Find h, given that 15 + 14*h + 35*h**2 - 4*h - 40*h**2 = 0.
-1, 3
Let d(h) be the first derivative of -2*h**5/5 + h**4/2 + 2*h**3 - h**2 - 4*h + 10. Find a, given that d(a) = 0.
-1, 1, 2
Let i(j) = -j**3 - j**2 + j + 1. Let q be i(0). Let s be 2/(q/6*4). Find o such that 3*o**2 + 4*o**s + 6*o**4 - 3*o**2 = 0.
-2/3, 0
Let l(h) be the third derivative of -h**6/780 + 9*h**5/130 - 81*h**4/52 + 243*h**3/13 - 9*h**2. Find j such that l(j) = 0.
9
Let i = -4371/5 + 875. Suppose 18/5*s**2 + i + 22/5*s = 0. Calculate s.
-1, -2/9
Let y(g) be the second derivative of -g**9/60480 - g**8/13440 + g**6/1440 + g**5/480 + 5*g**4/12 - g. Let j(c) be the third derivative of y(c). Factor j(f).
-(f - 1)*(f + 1)**3/4
Let n(p) be the third derivative of 1/12*p**3 + 0 + 1/672*p**8 + 1/48*p**4 + 0*p + 3*p**2 - 1/60*p**5 + 1/420*p**7 - 1/120*p**6. Find m such that n(m) = 0.
-1, 1
Let d(u) be the second derivative of u**5/60 - u**4/9 + 5*u**3/18 - u**2/3 - 18*u. Factor d(q).
(q - 2)*(q - 1)**2/3
Let a(m) = -6*m**3 - 18*m**2 - 21*m - 15. Let c(t) = -5*t**3 - 17*t**2 - 22*t - 14. Let f(z) = 2*a(z) - 3*c(z). Solve f(u) = 0.
-2, -1
Let g(q) be the first derivative of -q**6/18 + 2*q**5/15 + q**4/6 - 8*q**3/9 + 7*q**2/6 - 2*q/3 + 10. Determine n, given that g(n) = 0.
-2, 1
Let m(g) be the first derivative of g**5/70 - g**4/21 + g**3/21 - 2*g + 4. Let a(z) be the first derivative of m(z). Suppose a(n) = 0. Calculate n.
0, 1
Suppose z**5 - 69*z**4 + 12 + 12*z**3 - 16*z**5 - 51*z**2 + 12*z - 117*z**3 = 0. Calculate z.
-2, -1, 2/5
Let m = -8 - -15. Suppose 0 = m*h - 2*h - 10. Factor -2/3 + 1/3*s**h + 1/3*s.
(s - 1)*(s + 2)/3
Let l(j) be the first derivative of -j**6/30 - j**5/20 + j**4/12 + j**3/6 - 2*j - 6. Let d(n) be the first derivative of l(n). Factor d(s).
-s*(s - 1)*(s + 1)**2
Find j such that 0*j**3 + 0 + 0*j**2 + 0*j + 2/15*j**4 + 2/15*j**5 = 0.
-1, 0
Let r be (-26)/91 - ((-16)/7 + 2). Factor r - 2/3*f**2 - 2/3*f**3 + 0*f.
-2*f**2*(f + 1)/3
Find q, given that -3*q**2 + 0 + 3*q**4 - 9/4*q**5 - 3*q + 21/4*q**3 = 0.
-1, -2/3, 0, 1, 2
Let m(y) be the third derivative of -y**9/4536 + y**8/1260 - y**7/1260 + y**3/3 + y*