 third derivative of -a**5/90 - a**4/36 - a**2. Find j such that y(j) = 0.
-1, 0
Let o(m) be the third derivative of 2*m**7/35 - 2*m**6/15 - 4*m**5/15 - 59*m**2. Factor o(f).
4*f**2*(f - 2)*(3*f + 2)
Let h(c) be the first derivative of 0*c + 1/15*c**2 - 4/15*c**3 + 1. Find i, given that h(i) = 0.
0, 1/6
Factor -972/7*s**3 + 54*s**2 - 57/7*s + 648/7*s**4 + 3/7.
3*(s - 1)*(6*s - 1)**3/7
Let i = 17 - 12. What is m in -5*m**2 + 2*m**i + 0*m**2 + 7*m**4 - m**4 - 3*m**2 = 0?
-2, 0, 1
Let z(d) be the third derivative of 2*d**2 + 0 + 1/210*d**7 + 0*d**4 - 1/60*d**5 + 0*d + 0*d**3 - 1/336*d**8 + 1/120*d**6. Factor z(n).
-n**2*(n - 1)**2*(n + 1)
Let r(z) be the second derivative of -z**7/189 - z**6/45 + z**5/15 + 5*z**4/27 - 7*z**3/9 + z**2 + 13*z. Factor r(n).
-2*(n - 1)**3*(n + 3)**2/9
Solve 2*t**4 - 8/9*t - 40/9*t**2 - 14/9*t**3 + 0 = 0.
-1, -2/9, 0, 2
Suppose -5*r**4 - 3/2*r**5 - 10/3*r**2 - 2/3*r + 0 - 37/6*r**3 = 0. Calculate r.
-1, -2/3, 0
Let t(q) be the first derivative of q**5/50 - 2*q**4/15 + 4*q**3/15 + 3*q - 4. Let r(i) be the first derivative of t(i). Factor r(s).
2*s*(s - 2)**2/5
Suppose 3*y - y = -2*y. Find q such that 1/5*q + 1/5*q**2 + y = 0.
-1, 0
What is s in s**3 - 4*s**2 - 1 - 1/2*s**5 + s**4 + 7/2*s = 0?
-2, 1
Let r(z) = -21*z**3 - 27*z**2 - 6*z - 9. Let w(k) = k**3 + 1. Let a(n) = r(n) + 9*w(n). Let a(v) = 0. What is v?
-2, -1/4, 0
Let g = -2906/5 - -584. Determine i so that -g*i**4 + 0*i**2 - 4/5*i**3 + 0*i + 0 = 0.
-2/7, 0
Let v = -9 + 11. Factor 3*u - u**3 - u**3 + 4 + 2 - 6*u**v - u**3.
-3*(u - 1)*(u + 1)*(u + 2)
Let m(t) = -t + 7. Let x be m(6). Let q be (-6*(-2)/8)/x. Solve -1 - 1/2*v**2 + q*v = 0 for v.
1, 2
Let x(i) = i**2 - i + 1. Let d(f) = 2*f**2 + 7. Let c(a) = -d(a) + 3*x(a). Factor c(w).
(w - 4)*(w + 1)
Suppose 0 = -l - 0*l + 5*f + 7, -4*f = 2*l. Suppose -6/7*d + 4/7 + 2/7*d**l = 0. Calculate d.
1, 2
Let f(v) be the third derivative of 0*v**3 + 2/945*v**7 + 0*v**4 + 1/540*v**6 + 1/1512*v**8 + 0*v + 0 + 0*v**5 - 4*v**2. Factor f(w).
2*w**3*(w + 1)**2/9
Suppose c = 2*c + 3. Let a(t) = -7*t**3 + 16*t**2 - 8*t + 4. Let w(h) = 6*h**3 - 15*h**2 + 9*h - 3. Let u(n) = c*a(n) - 4*w(n). What is m in u(m) = 0?
0, 2
Let c = 7 + -2. Suppose 4*s + c*j + 3 = 0, -4*s + 5*j - 12 = -39. Factor 1/3*t**s + 0 + 0*t**2 - 1/3*t.
t*(t - 1)*(t + 1)/3
Suppose 5*b - 180 = 55. Let t = -45 + b. Factor -2/3*c**3 + 2/3*c**t + 0 + 2/9*c**4 - 2/9*c.
2*c*(c - 1)**3/9
Let r be (5/(-3))/(10/(-30)). Let t(x) be the second derivative of 0*x**2 + 1/9*x**4 + 0 + 14/45*x**6 + 0*x**3 - 3*x + 11/30*x**r. Factor t(p).
2*p**2*(2*p + 1)*(7*p + 2)/3
Let k(n) be the third derivative of -9*n**7/70 - 3*n**6/20 + 11*n**5/20 + n**4/2 - 2*n**3 + 8*n**2. Factor k(c).
-3*(c + 1)**2*(3*c - 2)**2
Let y(v) = v**3 - 8*v**2 - 10*v + 7. Let a(o) = 2*o**3 - 16*o**2 - 20*o + 14. Let n(m) = -4*a(m) + 7*y(m). Let g be n(9). Factor b - b + g*b + 2*b**2.
2*b*(b + 1)
Suppose -3*b + 8*b - 15 = 0. Suppose 8*m = b*m + 15. Factor 0 + 1/2*y**4 + 4*y**2 - 2*y - 5/2*y**m.
y*(y - 2)**2*(y - 1)/2
Suppose 4*g = -4, 0 = 3*q - 0*q - 2*g - 8. Let k(r) be the first derivative of 0*r**4 + 4 + 2/5*r**5 + 2*r**2 - q*r**3 + 0*r. Factor k(p).
2*p*(p - 1)**2*(p + 2)
Let t be 8/(-12) + (-18)/(10/(-5)). Let 10/3*j + t*j**2 + 1/3 = 0. Calculate j.
-1/5
Let c(q) = -q**4 + q**3 - q**2 + q + 1. Let g(i) = -2*i**4 + 18*i**3 - 10*i**2 - 38*i - 2. Let w(a) = 2*c(a) + g(a). Solve w(j) = 0 for j.
-1, 0, 3
Factor -27*p**3 + 2 - 12*p + 27*p**2 + 81/8*p**4.
(3*p - 2)**4/8
Factor 0*z**2 + 2/11*z**3 - 4/11 - 6/11*z.
2*(z - 2)*(z + 1)**2/11
Let b = -167 + 169. Let s(c) be the second derivative of b*c + 3/2*c**2 - 1/10*c**6 + 0 + c**3 - 3/10*c**5 + 0*c**4. Factor s(o).
-3*(o - 1)*(o + 1)**3
Let l(q) be the first derivative of q**4/6 - 2*q**3/9 - 5. Let l(u) = 0. Calculate u.
0, 1
Let a(w) be the second derivative of w**4/9 + 4*w**3/3 + 6*w**2 - 16*w. Determine v so that a(v) = 0.
-3
Let s = 89/20 - 17/4. Let 2/5*u**2 - 1/5 - s*u**5 - 1/5*u + 2/5*u**3 - 1/5*u**4 = 0. Calculate u.
-1, 1
Let x(d) be the third derivative of 0*d**3 - 1/30*d**5 - 1/70*d**7 + 0*d**4 + 0 + 0*d - 1/24*d**6 + 2*d**2. What is z in x(z) = 0?
-1, -2/3, 0
Let x(j) be the third derivative of -1/36*j**5 - 1/9*j**4 + 0*j - 2/9*j**3 + 0 + 5*j**2 - 1/360*j**6. Factor x(v).
-(v + 1)*(v + 2)**2/3
Let i be 1/(3/6) - -19. Let p be i*-4*4/(-72). Factor -6*b**2 + p*b - 4/3 - 2/3*b**4 + 10/3*b**3.
-2*(b - 2)*(b - 1)**3/3
Suppose 2*y + 8 = -r, -r = y + 3 - 0. Factor -4*j**5 - 3*j**4 - 5*j**3 - j**r + 2*j**3 + 3*j**5.
-j**2*(j + 1)**3
Suppose 2*f - 8 = -4*d, 3*d - 20 = -5*f + 2*d. Let m = f - 7/2. Solve i**2 + 1/2*i**5 - m*i + 0 + 0*i**3 - i**4 = 0 for i.
-1, 0, 1
Let a(g) be the first derivative of -2*g**3/3 + g**2/3 + 4*g/3 + 2. Factor a(p).
-2*(p - 1)*(3*p + 2)/3
Let o be 3 + (-2 + 4)/(-2). Let m(f) be the second derivative of 0 - 3*f + 0*f**o - 1/24*f**4 + 1/6*f**3. Factor m(q).
-q*(q - 2)/2
Determine i, given that -18/7*i - 3/7*i**2 - 27/7 = 0.
-3
Let c = 1/7 - 4/77. Let d(m) be the first derivative of 0*m**3 - 2/55*m**5 + 1 - 2/11*m**2 + 2/11*m + c*m**4. Suppose d(h) = 0. What is h?
-1, 1
Factor 0*k - 1/2*k**3 - 1/2*k**2 + 0.
-k**2*(k + 1)/2
Let -10*p - 8*p**3 + 22*p**2 - 4 - 6*p**3 + 6*p**3 = 0. What is p?
-1/4, 1, 2
Let c(y) be the second derivative of y**7/14 + y**6/5 - 3*y**5/20 - y**4/2 + 25*y. Solve c(n) = 0 for n.
-2, -1, 0, 1
Let x be 0*(-2 + 9/9). Solve -1/3*u**5 + 2/3*u**3 + 0 + 0*u**4 - 1/3*u + x*u**2 = 0.
-1, 0, 1
Let x(o) be the third derivative of o**5/330 - o**4/33 + o**3/11 - 8*o**2. Factor x(f).
2*(f - 3)*(f - 1)/11
Let y(f) be the first derivative of -f**4/20 + f**3/3 - 4*f**2/5 + 4*f/5 - 38. Factor y(h).
-(h - 2)**2*(h - 1)/5
Let h = 519/11 - 47. Let -2/11*o**2 + 4/11*o - h = 0. Calculate o.
1
Let n be 12/336 - (-2)/8. Let 2/7*g - 2/7*g**3 + 2/7*g**2 - n = 0. What is g?
-1, 1
Let z(i) be the second derivative of -i**4/12 + 4*i**3/3 - 2*i**2 + 5*i. Let m be z(7). What is b in -4/3*b + 2*b**m - 2/3*b**2 + 0 = 0?
-2/3, 0, 1
Let p = 5 + -5. Let a(r) = r**2 - r + 3. Let v be a(p). Find c, given that c - c - c**3 - v*c**2 - 1 - 3*c = 0.
-1
Let b(p) be the first derivative of -4/15*p**3 - 1/5*p**4 + 1 + 2/25*p**5 + 1/5*p**2 + 1/15*p**6 + 2/5*p. Solve b(j) = 0 for j.
-1, 1
Suppose 0 = 2*d + 9*d. Factor d*o + 2/7 - 2/7*o**2.
-2*(o - 1)*(o + 1)/7
Let j(o) = -o**3 + 2*o**2 + 2*o + 2. Let a be j(-2). What is r in a*r**3 + 10/3*r**5 - 34/3*r**4 + 0 + 4/3*r - 22/3*r**2 = 0?
0, 2/5, 1
Let u(w) be the first derivative of -w**7/112 + w**6/120 - 4*w**3/3 - 3. Let x(d) be the third derivative of u(d). Solve x(g) = 0.
0, 2/5
Let b(t) = t**2 - t + 1. Let q(f) = -f**3 - 4*f**2 + f - 2. Let c(w) = 2*b(w) + q(w). Factor c(n).
-n*(n + 1)**2
Suppose -3*w + 0*w = 0. Let t(v) be the second derivative of -v + 0*v**2 + 0 + 1/40*v**5 + 0*v**4 + w*v**3. What is a in t(a) = 0?
0
Let o(f) be the first derivative of 1/5*f**5 - 1/4*f**4 + 3 + 0*f + 1/2*f**2 - 1/3*f**3. Factor o(q).
q*(q - 1)**2*(q + 1)
Suppose 3*b - 4 = -4*l, 3*b + 3*l = -b - 4. Let p = b + 4. Let p*u + 2/7 - 2/7*u**2 = 0. What is u?
-1, 1
Suppose -4*u = -8*u. Let c(y) be the third derivative of 0*y + 0*y**3 - y**2 - 1/150*y**5 - 1/60*y**4 + u. Solve c(d) = 0 for d.
-1, 0
Solve 5*a + 10*a**2 + 5*a**5 - 15*a**2 - 20*a**4 + 30*a**3 - 15*a**2 = 0 for a.
0, 1
Let b(c) be the third derivative of 2*c**7/525 - c**6/75 - 4*c**5/75 + c**4/15 + 2*c**3/5 - 32*c**2. Let b(h) = 0. What is h?
-1, 1, 3
Let i be (-48)/(-60)*(-3)/(-4). Let c = 28 - 137/5. Factor -i*b**3 - c*b**2 + 3/5*b + 3/5.
-3*(b - 1)*(b + 1)**2/5
Suppose -3*i = -5*b + 10, i - 8 = -4*b - 0. Let u(o) be the first derivative of 2 + 2*o**b - 2*o - 2/3*o**3. Factor u(h).
-2*(h - 1)**2
Suppose -3*a + 18 = -0*a. Suppose 9*j**2 - a*j - j**3 + 9*j**3 + 7*j**3 = 0. What is j?
-1, 0, 2/5
Let h(c) be the first derivative of 3*c**4/4 + c**3 - 3*c**2 + 17. Find u such that h(u) = 0.
-2, 0, 1
Let u(y) be the first derivative of 1/6*y**2 + 0*y + 1/6*y**4 - 1/30*y**5 - 5 - 5/18*y**3. Determine w so that u(w) = 0.
0, 1, 2
Determine l so that -1/4*l**3 + 0 - 1/4*l - 1/2*l**2 = 0.
-1, 0
Let o be (0/(0 - -2))/1 + 2. Factor 0 + 0*i + 0*i**3 + 2/3*i**4 - 2/3*i**o.
2*i**2*(i - 1)*(i + 1)/3
Let q = -148 - -1042/7. Factor 0 + q*h**2 - 3/7*h.
3*h*(2*h - 1)/7
Let -33*a**2 + 27