6/195 - b**5/65 - b**4/78 - 2*b. Factor z(c).
-2*c**2*(c + 1)**2/13
Let z(s) = s - 4. Let c be z(4). Let c + 0 + 1 - i**2 = 0. What is i?
-1, 1
Let r(h) be the third derivative of -5*h**8/112 + 6*h**7/35 - 9*h**6/40 + h**5/10 + 9*h**2. Solve r(k) = 0 for k.
0, 2/5, 1
Suppose -q - 3*s = -5*s - 5, 2*s + 2 = 0. Factor 16/3 + 20*b**2 + 6*b**q + 56/3*b.
2*(b + 2)*(3*b + 2)**2/3
Let v = -78 + 157/2. Factor 1/2*y**3 + 1/4*y**4 + 1/4 - v*y**2 - 1/4*y - 1/4*y**5.
-(y - 1)**3*(y + 1)**2/4
Let v be 52/(-112) + (-6)/(-8). Suppose -v*s + 0 - 12/7*s**3 + 8/7*s**2 - 2/7*s**5 + 8/7*s**4 = 0. What is s?
0, 1
Let g = 13 - 9. Let q(i) be the first derivative of -1/2*i**4 + g*i + 5*i**2 - 2 + 2*i**3 - 2/5*i**5. Suppose q(d) = 0. Calculate d.
-1, 2
Let s(t) be the third derivative of t**5/15 - 7*t**4/3 + 98*t**3/3 - t**2 + 11. Find l such that s(l) = 0.
7
Factor -1/2 + 1/2*i**3 - 2*i**2 - 1/4*i**5 + 7/4*i + 1/2*i**4.
-(i - 1)**4*(i + 2)/4
Let u be 6/8 - 858/(-520). Factor 18/5 + 2/5*w**2 - u*w.
2*(w - 3)**2/5
Let d(l) be the third derivative of -l**6/960 - l**5/480 + 6*l**2. Factor d(f).
-f**2*(f + 1)/8
Let f(t) be the second derivative of 1/54*t**4 + 0*t**2 - 2/27*t**3 - 2*t + 0 + 1/30*t**5. Factor f(x).
2*x*(x + 1)*(3*x - 2)/9
Let d = -3 - 0. Let u(y) be the first derivative of -2*y**5/5 - y**3/3 - 3*y - 2. Let j(x) = -2*x**4 + x**3 - x**2 - 4. Let p(t) = d*j(t) + 4*u(t). Factor p(z).
-z**2*(z + 1)*(2*z + 1)
Let -20 - 5*q**2 - 18*q + 11*q - 18*q = 0. Calculate q.
-4, -1
Let k(l) = -l**2 - 6*l. Let x be k(-6). Factor x*o + 0 + 0*o**2 + 2/3*o**3 + 2/3*o**5 - 4/3*o**4.
2*o**3*(o - 1)**2/3
Let z(q) be the first derivative of q**6/51 + 6*q**5/85 + q**4/17 - 2. Factor z(f).
2*f**3*(f + 1)*(f + 2)/17
Let q(z) = -3*z**4 - 4*z**3 + 10*z**2 - 4*z - 3. Let n(g) = -3*g**4 - 5*g**3 + 11*g**2 - 5*g - 3. Let w(a) = -4*n(a) + 5*q(a). Determine l, given that w(l) = 0.
-1, 1
What is x in -1/5*x**3 - 1/5*x + 2/5*x**2 + 0 = 0?
0, 1
Let s be (1/(-4))/(-2 - (-8)/28). Let t(b) be the second derivative of -9/8*b**2 + 2*b - 5/8*b**3 - s*b**4 + 0 - 1/80*b**5. Suppose t(w) = 0. Calculate w.
-3, -1
Let t(a) be the second derivative of -5*a**7/378 + 2*a**6/135 + a**5/30 - a**4/27 - a**3/54 + 3*a. Solve t(f) = 0.
-1, -1/5, 0, 1
Let x(j) be the second derivative of -j**4/3 + 11*j**3/6 + 3*j**2/2 - 17*j. Factor x(z).
-(z - 3)*(4*z + 1)
Let x(d) be the second derivative of d**3/3 - 19*d**2/2 - 9*d. Let g be x(11). Factor 1/2*o**4 + 1/2*o**g - 1/2*o**2 - 1/2*o + 0.
o*(o - 1)*(o + 1)**2/2
Let z(u) be the third derivative of 0*u**4 + 0*u**5 + 0*u**3 + 1/150*u**6 + 0 - 5*u**2 + 0*u - 1/525*u**7. Factor z(f).
-2*f**3*(f - 2)/5
Let l(x) be the second derivative of x**6/90 - x**5/15 + x**4/36 + x**3/3 + 59*x - 1. Factor l(i).
i*(i - 3)*(i - 2)*(i + 1)/3
Suppose 4 = -u + 3*u. Let l be (-6)/9*(-1 - u). Factor 1/3*w**5 + 1/3*w**l - 1/3*w**3 + 0*w + 0 - 1/3*w**4.
w**2*(w - 1)**2*(w + 1)/3
Suppose a = -10 - 1. Let c = 11 + a. Let c*p**2 + 3/2*p + 1 - 1/2*p**3 = 0. Calculate p.
-1, 2
Let f = 1864 - 7363/4. Let a = f + -23. Find i, given that -1/2*i**2 + 0*i + 0 - a*i**3 = 0.
-2, 0
Let i(z) be the second derivative of z**6/6 - z**5/2 + 5*z**4/12 + 39*z. Solve i(s) = 0 for s.
0, 1
Find o such that -2/7*o**2 + 4/7 - 2/7*o**4 + 6/7*o - 6/7*o**3 = 0.
-2, -1, 1
Let t(r) be the first derivative of r**6/8 - 3*r**4/16 + 1. Find z, given that t(z) = 0.
-1, 0, 1
Let h(g) be the first derivative of 0*g - 10/7*g**3 + 4 - 2/7*g**2 + 32/35*g**5 - 12/7*g**4. Solve h(a) = 0.
-1/4, 0, 2
Let i be (0/1)/(5 + -4 + -3). Let v(k) = -k**2 + 7*k + 11. Let s be v(8). Solve 2/5*l**s + i + 2/5*l - 4/5*l**2 = 0.
0, 1
Let o(i) be the first derivative of 5 - 2/13*i**2 - 2/39*i**3 + 0*i. Let o(g) = 0. What is g?
-2, 0
Factor -8*f**2 - 4*f**5 + 7*f**3 - 3*f**3 + f**3 + 4 + 4*f**4 - 4*f + 3*f**3.
-4*(f - 1)**3*(f + 1)**2
Let o(i) = -i**3 + i**2 + i - 1. Let u(l) = -8*l**2 + 12*l - 4. Let v(r) = -4*o(r) + u(r). Let v(d) = 0. What is d?
0, 1, 2
Let u(r) be the third derivative of 1/60*r**5 + 1/18*r**3 + 0 - 1/24*r**4 - 1/360*r**6 + 0*r + r**2. Factor u(n).
-(n - 1)**3/3
Let k = -55/3 + 223/12. Find x such that 0 - k*x**2 - 1/4*x = 0.
-1, 0
Suppose 0 = -13*r + 7*r. Factor 2/13*q**2 + 4/13*q + r.
2*q*(q + 2)/13
Let m(z) = 3*z**2 - 27*z. Let o(q) = -2*q**2 + 14*q. Let x(s) = 6*m(s) + 11*o(s). Factor x(b).
-4*b*(b + 2)
Let k(z) be the second derivative of -3*z**5/140 + z**4/14 + 3*z**3/14 + 21*z. Factor k(m).
-3*m*(m - 3)*(m + 1)/7
Let q(w) be the second derivative of 0 + 0*w**5 + 0*w**2 + 0*w**3 - 1/20*w**6 + 1/24*w**4 - 1/42*w**7 - w. Find y, given that q(y) = 0.
-1, 0, 1/2
Let l = -330 - -334. Solve 1/3*z**l + 0*z**2 + 0 + 0*z + 1/3*z**3 = 0.
-1, 0
Let v(o) be the second derivative of -o**9/30240 - o**8/13440 - o**4/2 - 3*o. Let g(b) be the third derivative of v(b). Factor g(k).
-k**3*(k + 1)/2
Suppose -16/3*v**3 - 32/3*v**4 - 2/3*v**2 + 0*v + 0 = 0. Calculate v.
-1/4, 0
Let t(v) be the third derivative of 1/525*v**7 + 0*v**3 + 0*v + 0 - 11*v**2 + 1/150*v**6 + 0*v**5 + 0*v**4. Let t(c) = 0. Calculate c.
-2, 0
Let f(x) be the second derivative of 1/18*x**3 + 0 + 0*x**2 - 2*x + 1/18*x**4 + 1/60*x**5. Factor f(m).
m*(m + 1)**2/3
Let f = -38 + 23. Let k be 12/60 - 7/f. Factor -1/3*r**4 + 1/3*r**5 - 1/3 + 2/3*r**2 + 1/3*r - k*r**3.
(r - 1)**3*(r + 1)**2/3
Suppose i = -5*m + 14, -2 = m - 0*m - i. Factor 10/3*d**3 - 2/3*d**4 - 4/3 - 6*d**m + 14/3*d.
-2*(d - 2)*(d - 1)**3/3
Suppose 0 = 3*j - 3, -w + 8*j - 3*j = 0. Suppose 4*g - 7 = w. Let -80*i**2 + 120*i + 8 + 8 + 316*i**2 - 98*i**5 - 22*i**g - 252*i**4 = 0. What is i?
-2, -1, -2/7, 1
Let r(u) be the third derivative of -1/1512*u**8 + 0 + 0*u**4 + 2*u**2 + 0*u - 4/945*u**7 + 0*u**3 - 1/108*u**6 - 1/135*u**5. Let r(f) = 0. Calculate f.
-2, -1, 0
Factor 1/2 + 9/4*u + 9/4*u**3 + 7/2*u**2 + 1/2*u**4.
(u + 1)**2*(u + 2)*(2*u + 1)/4
Let q(b) = 4*b**2 + 2*b. Let k be q(-1). Let s(o) be the second derivative of -2*o + 0 - 1/20*o**5 - 1/2*o**4 - 2*o**3 - 4*o**k. Find m such that s(m) = 0.
-2
Factor 0 - 2/7*h**2 - 2/7*h**4 + 0*h - 4/7*h**3.
-2*h**2*(h + 1)**2/7
Let l(x) be the first derivative of -1/15*x**3 + 0*x**2 + 0*x + 5 + 0*x**4 + 1/25*x**5. Factor l(k).
k**2*(k - 1)*(k + 1)/5
Let g(w) be the second derivative of -w**5/10 - w**4 - 4*w**3 - 8*w**2 - 5*w. Factor g(n).
-2*(n + 2)**3
Factor 0*q - 4/5*q**5 + 16/5*q**2 + 0 + 0*q**3 - 12/5*q**4.
-4*q**2*(q - 1)*(q + 2)**2/5
Let a(m) be the first derivative of 3*m**5/5 + 9*m**4/4 - 6*m**2 - 21. Suppose a(w) = 0. Calculate w.
-2, 0, 1
Suppose 0 = 9*p - 4*p + 20. Let l be 8 + -6 + 6/p. Factor 0*h**2 - 1/2*h + l*h**3 + 0.
h*(h - 1)*(h + 1)/2
Suppose -196*l**3 - 112*l**2 + 42 - 42 - 16*l = 0. What is l?
-2/7, 0
Let i(p) = -p**2 - p + 7. Suppose -4*x - 20 = -4*z - 100, 4*z + 62 = -5*x. Let l(v) = 3*v**2 + 3*v - 24. Let u(h) = z*i(h) - 5*l(h). Find a such that u(a) = 0.
-2, 1
Let r(i) be the second derivative of -i**6/10 - 3*i**5/4 - 3*i**4/2 - 3*i. Factor r(a).
-3*a**2*(a + 2)*(a + 3)
Let p(x) be the third derivative of 5*x**2 + 0 - 1/20*x**5 + 0*x - 1/2*x**3 - 1/4*x**4. Solve p(a) = 0 for a.
-1
Suppose -1 = -v + 1. Suppose -8*d = -3*d + 2*q, -v*q = 3*d. Determine s, given that -2/5*s**5 + 0*s + d + 2/5*s**3 - 2/5*s**2 + 2/5*s**4 = 0.
-1, 0, 1
Let f(t) be the first derivative of -16/25*t**5 - 4 + 0*t - 3/5*t**4 + 4/15*t**3 + 0*t**2. Factor f(l).
-4*l**2*(l + 1)*(4*l - 1)/5
Let w(m) be the first derivative of -4*m**3/3 - 11. Let w(z) = 0. Calculate z.
0
Factor -2*j**3 + 0 + 18/5*j + 2/5*j**4 + 6/5*j**2.
2*j*(j - 3)**2*(j + 1)/5
Let k(h) be the first derivative of -4*h**3/15 - 24*h**2/5 - 144*h/5 - 16. Suppose k(s) = 0. Calculate s.
-6
Let b(x) be the first derivative of x**5/30 + x**4/12 - 3*x**2/2 - 4. Let q(d) be the second derivative of b(d). Solve q(h) = 0.
-1, 0
Find v, given that 12*v + 70*v**3 - 80*v**2 - 30*v**4 + 5*v**5 - 2 + 33*v - 1 - 7 = 0.
1, 2
Let p be -13*((-6)/(-4))/((-546)/56). Factor 1/6 + 1/6*d**p + 1/3*d.
(d + 1)**2/6
Let l(b) = -3*b**5 - b**4 + 4*b**3. Suppose 4*z = -3*m + 34, 5*m = -z + 2*z + 3. Let c(n) = -n**5 + n**3. Let r(y) = z*c(y) - 2*l(y). Find a such that r(a) = 0.
0, 1
Let o(t) = t**2 + 2*t - 3. Let n be o(-4). Factor 42*f**4 + 3*f**2 + 31*f**3 + 5*f**2 + 17*f**3 - 98*f**n.
-2*f**2*(f - 1)*(7*f + 2)**2
Let m(b) be the third derivat