4*q**3 - 7*q - q - 52*q**4 - 8*q**2 - 5*q**2 + 14*q**5 = 0.
-2/7, 0, 1, 2
Let q(s) be the first derivative of s**4/48 + s**3/8 + s**2/4 - 4*s - 4. Let m(n) be the first derivative of q(n). Factor m(f).
(f + 1)*(f + 2)/4
Factor -2/7*v**2 - 2*v - 20/7.
-2*(v + 2)*(v + 5)/7
Let k = -334/143 - -24/11. Let y = 17/26 + k. Let 1/4 + 0*g**2 - y*g**3 - 1/4*g**4 + 1/2*g = 0. What is g?
-1, 1
Let h(g) be the first derivative of 1/240*g**5 + 1/2*g**2 - 1/24*g**4 + 0*g + 1/6*g**3 + 1. Let m(f) be the second derivative of h(f). Factor m(j).
(j - 2)**2/4
Factor 4/13*a**2 - 6/13*a**3 + 2/13*a**4 + 0*a + 0.
2*a**2*(a - 2)*(a - 1)/13
Let u be (2/(-1))/(56/(-16)). Suppose 2/7*s**2 + u*s - 6/7 = 0. Calculate s.
-3, 1
Let r(w) = -w**2 + 4*w + 4. Let z be r(5). Let t be -1 - z - 2 - -2. Factor t + 0*n + 1/2*n**3 + 1/2*n**2.
n**2*(n + 1)/2
Let q be 1*(-2)/(3 + -5). Let b(i) = i**5 - 4*i**4 - 4*i**3 + 17*i**2 - 14*i + 5. Let u(m) = m**5 - m**2 - 1. Let k(z) = q*u(z) + b(z). Factor k(s).
2*(s - 1)**4*(s + 2)
Suppose 9*c = 4*c - 5*y + 30, 0 = 3*c - 3*y + 6. Let x(k) be the first derivative of 2 + 1/2*k + 1/12*k**3 + 3/8*k**c. Solve x(b) = 0 for b.
-2, -1
Let v(b) be the second derivative of -8*b**6/15 + 19*b**5/5 + 61*b**4/3 + 28*b**3/3 - 4*b - 12. Find k such that v(k) = 0.
-2, -1/4, 0, 7
Suppose -2*q + 8 = -8. Suppose -q = 2*s - 6*s. Let 1 + 0*w + w**s - 2*w + w**2 - w**2 = 0. Calculate w.
1
Suppose -u + 2 + 2 = 0. Suppose p - 2*v - 13 = 0, 3*v + 27 = u*p - 0. Factor -4*r**3 - 4 + 2*r + 8*r**2 + 2*r**p - r**2 - 3*r**2.
-2*(r - 2)*(r - 1)*(r + 1)
Let s(a) = 3 + 0*a**2 - 1 - 5 + 5*a - a**2. Let f be s(3). Factor -3*z**2 - z**2 + 3*z**2 + 4*z + 3*z**2 - 6*z**f.
-2*z*(z - 1)*(3*z + 2)
Let a(k) = k**2 - 14*k + 29. Let c be a(12). Factor 0*w**3 + 4/5*w**4 + 2/5*w**c + 0*w + 0*w**2 + 0.
2*w**4*(w + 2)/5
Let t(o) be the second derivative of o**8/4480 - o**7/1260 - o**6/288 + o**5/120 - o**4/6 + 3*o. Let f(q) be the third derivative of t(q). Solve f(j) = 0.
-1, 1/3, 2
Suppose -2 + 0 = 2*l, 32 = -p + 4*l. Let q be (-3)/(-4)*(-32)/p. Solve -2/3*r**5 + 2*r + 4/3*r**2 - 4/3*r**3 + q - 2*r**4 = 0 for r.
-1, 1
Let n be ((-7)/((-63)/(-6)))/(-20). Let u(a) be the third derivative of -n*a**5 + 0 + 0*a + 0*a**3 - 2*a**2 + 0*a**4. Factor u(d).
-2*d**2
Let f(z) = 4*z**2 + 14*z - 2. Suppose a = 64 + 5. Let m be (-2)/(-8) + a/12. Let t(v) = 5*v**2 + 15*v - 1. Let n(d) = m*t(d) - 7*f(d). What is c in n(c) = 0?
2
Factor -2*y + 16/7*y**2 - 2/7*y**3 + 0.
-2*y*(y - 7)*(y - 1)/7
Let x(s) be the first derivative of -s**8/1680 + s**7/840 + s**6/120 - s**5/24 + s**4/12 - 2*s**3/3 - 1. Let c(n) be the third derivative of x(n). Factor c(y).
-(y - 1)**3*(y + 2)
Let o = -12 + 13. Let u(k) be the first derivative of 0*k**2 - 1/4*k**4 + 0*k - 1/6*k**6 + 0*k**3 + 2/5*k**5 - o. Factor u(n).
-n**3*(n - 1)**2
Let u = -92 - -92. Let r(a) be the second derivative of a + 1/75*a**6 - 1/10*a**4 + 0 + 0*a**5 + 2/15*a**3 + u*a**2. Factor r(q).
2*q*(q - 1)**2*(q + 2)/5
Let c(g) be the first derivative of -g**5/8 - 17*g**4/32 - 7*g**3/8 - 11*g**2/16 - g/4 - 6. Find y, given that c(y) = 0.
-1, -2/5
Let h(s) be the first derivative of 3*s**4/20 + 6*s**3/5 + 18*s**2/5 + 24*s/5 + 8. Factor h(o).
3*(o + 2)**3/5
Suppose -5*t + 12 = -t. Solve x**4 + 7*x**4 - 28*x**t + 16*x**2 + 16*x + 0*x**4 = 0.
-1/2, 0, 2
Let y(s) be the first derivative of -s**7/840 - s**6/360 + s**5/120 + s**4/24 + 5*s**3/3 + 6. Let q(u) be the third derivative of y(u). Factor q(a).
-(a - 1)*(a + 1)**2
Factor -2*o**2 - 2/3*o**3 + 2/3*o + 2.
-2*(o - 1)*(o + 1)*(o + 3)/3
Let i(b) = -b**3 + 6*b**2 + 10*b - 7. Let g be i(7). Let a = -12 + g. Factor -1/4*u**3 + 0*u + 1/4*u**4 + 0 + 1/4*u**5 - 1/4*u**a.
u**2*(u - 1)*(u + 1)**2/4
Let r(t) = -t**4 - 11*t**3 - 19*t**2 - 5*t + 4. Let n(f) = -10*f**4 - 100*f**3 - 170*f**2 - 45*f + 35. Let g(a) = -4*n(a) + 35*r(a). Factor g(x).
5*x*(x + 1)**3
Suppose 16*d - 5*d = 55. Let y(a) be the third derivative of -1/10*a**d + 0*a**4 - a**2 + 1/70*a**7 + 0*a + 1/2*a**3 + 0 + 0*a**6. Factor y(t).
3*(t - 1)**2*(t + 1)**2
Let a(c) be the first derivative of -3 + 8/35*c**5 + 16/7*c**2 - 13/14*c**4 - 8/7*c + 2/7*c**3. Find k, given that a(k) = 0.
-1, 1/4, 2
Let u be (-10)/105*178/(-4). Let s = u + -25/7. Factor 4/3*k**2 - 5/3*k**3 - 1/3*k + 0 + s*k**4.
k*(k - 1)**2*(2*k - 1)/3
Let a(u) be the second derivative of u**5/90 + u**4/12 - 3*u**2/2 - 3*u. Let j(i) be the first derivative of a(i). Factor j(l).
2*l*(l + 3)/3
Let j(g) be the third derivative of 0*g + 1/180*g**5 + 0 - 1/72*g**4 - 1/18*g**3 + g**2 + 1/360*g**6. Factor j(d).
(d - 1)*(d + 1)**2/3
Let i(y) be the first derivative of -10 + 1/14*y**2 + 0*y - 1/21*y**3. Determine c, given that i(c) = 0.
0, 1
Let g(k) = -8*k**3 + 12*k + 4. Let l(u) = -17*u**3 + u**2 + 25*u + 9. Let s(t) = 9*g(t) - 4*l(t). Solve s(h) = 0 for h.
-2, 0, 1
Determine g, given that 3/4*g**5 - 3/4*g**4 + 3/4*g**2 + 0 + 0*g - 3/4*g**3 = 0.
-1, 0, 1
Let y(d) be the third derivative of -d**7/135 - d**6/108 + d**5/135 - 8*d**2. Factor y(k).
-2*k**2*(k + 1)*(7*k - 2)/9
Suppose 2*g + 5*s + 25 = 0, 7*g + 3*s + 15 = 10*g. Factor g*a + 0 + 3/5*a**3 - 6/5*a**2.
3*a**2*(a - 2)/5
Let o(y) be the second derivative of 0*y**3 + 0*y**2 + 0 + 0*y**4 + 3*y - 3/20*y**5 - 1/10*y**6. Suppose o(d) = 0. What is d?
-1, 0
Let p(y) = 3*y - 7. Let r be p(4). Suppose r*x - 15 = -0. Factor 0 + 0*j + 2/3*j**2 - 1/3*j**4 - 1/3*j**x.
-j**2*(j - 1)*(j + 2)/3
Factor 2 + 9/2*n + 3*n**2 + 1/2*n**3.
(n + 1)**2*(n + 4)/2
Let m(f) be the third derivative of -f**5/15 - f**4/6 + 4*f**3 + f**2. Factor m(n).
-4*(n - 2)*(n + 3)
Let q(h) = -4*h**4 - h**3 + 6*h**2 - 5*h - 5. Let p(r) = 4*r**4 - 6*r**2 + 4*r + 4. Let m(v) = 3*p(v) + 2*q(v). What is n in m(n) = 0?
-1, -1/2, 1
Let r(h) be the first derivative of -h**6/3 + 3*h**4 + 16*h**3/3 + 3*h**2 - 16. Factor r(w).
-2*w*(w - 3)*(w + 1)**3
Let p(n) be the third derivative of -n**8/2240 + n**7/360 - n**6/540 - n**5/90 + n**4/6 - n**2. Let o(x) be the second derivative of p(x). Factor o(g).
-(g - 2)*(3*g - 2)*(3*g + 1)/3
Let w(b) be the second derivative of b**5/60 - b**4/36 + 6*b. Suppose w(i) = 0. Calculate i.
0, 1
Suppose 0 = -4*m + 2*m + 16. Factor 12*c - m*c**3 + 8 + 21*c**3 - 17*c**3.
-4*(c - 2)*(c + 1)**2
Let f(r) be the first derivative of r**2 - r + 1/6*r**4 + 1 - 2/3*r**3. Let w(d) be the first derivative of f(d). Factor w(o).
2*(o - 1)**2
Let o be 5/2 - (-8)/(-16). Let n be 0 + 1 + o + 0. Factor -2/9*d**n + 0*d**2 + 2/9*d + 0.
-2*d*(d - 1)*(d + 1)/9
Let o(j) be the third derivative of 25*j**8/336 + j**7/14 - j**6/12 - 2*j**2 + 8. Factor o(z).
5*z**3*(z + 1)*(5*z - 2)
Let f be (-8)/12 + (-23)/(-3). Let v = f - 5. Find t, given that -2 + 18*t - 21*t + 2*t**2 - 3*t**v = 0.
-2, -1
Let u be 6/(-27) - 2/(-6). Let c(q) be the second derivative of -u*q**4 + 0*q**5 + 0 + 1/3*q**2 + 1/45*q**6 + 0*q**3 - 2*q. Factor c(n).
2*(n - 1)**2*(n + 1)**2/3
Let -1/4*g**4 + 5/4*g**3 + 0 + 0*g - g**2 = 0. What is g?
0, 1, 4
Let j(i) be the third derivative of -i**5/20 + i**4/2 + 17*i**2. Let j(g) = 0. Calculate g.
0, 4
Let r = 132 + -195. Let k be ((-30)/2)/(r/6). Suppose -8/7*v**3 + 0 - 4/7*v + k*v**2 + 2/7*v**4 = 0. Calculate v.
0, 1, 2
Let g(t) = -25*t**4 + 25*t**3 + 235*t**2 - 25*t - 90. Let a(c) = 2*c**4 - 2*c**3 - 18*c**2 + 2*c + 7. Let v(d) = -40*a(d) - 3*g(d). Let v(x) = 0. What is x?
-1, 1, 2
Let x(d) be the first derivative of -6*d**5/5 - d**4/2 + 6*d**3 + 9*d**2 + 4*d + 22. Find k, given that x(k) = 0.
-1, -1/3, 2
Let d(h) be the first derivative of 2*h**3/17 - 5*h**2/17 - 17. Find f, given that d(f) = 0.
0, 5/3
Suppose -5*m + 45 = -0*m. Let q = 9 - m. Factor q - 2/3*y - 4/3*y**2 - 2/3*y**3.
-2*y*(y + 1)**2/3
Let y(d) = -21*d**4 + 21*d**3 + 57*d**2 - 15*d - 15. Let j(u) = 3*u**4 - 3*u**3 - 8*u**2 + 2*u + 2. Let x = 51 + -36. Let f(n) = x*j(n) + 2*y(n). Factor f(p).
3*p**2*(p - 2)*(p + 1)
Let q(g) be the third derivative of -2*g**7/525 + g**6/75 - g**5/75 - 7*g**2. Factor q(y).
-4*y**2*(y - 1)**2/5
Let r = -7/24 - -59/120. Factor r*w**2 + 1/5*w**3 - 1/5 - 1/5*w.
(w - 1)*(w + 1)**2/5
Let w(p) be the first derivative of 3*p**4/4 + 3*p**3 + 3*p**2 - 1. Factor w(u).
3*u*(u + 1)*(u + 2)
Let i(n) = n + 3. Let b be i(-8). Let m(w) = -w**3 - 5*w**2 - w - 1. Let t be m(b). Solve -3*p**4 + 5*p**4 - p**5 - 3*p**t