 -6*h**q + 16*h**2 - 4*h - 5*h**3 - h**3.
-2*h*(h - 1)*(3*h - 2)
Let h(m) = -2*m**3 + 10*m**2 - 2*m. Let z(p) = -2*p**3 + 10*p**2 - p. Let a(i) = 7*h(i) - 6*z(i). Suppose a(l) = 0. What is l?
0, 1, 4
Factor 36/11*f**3 + 4/11*f**2 - 14/11*f + 34/11*f**4 - 6/11 + 10/11*f**5.
2*(f + 1)**4*(5*f - 3)/11
Factor -4*g**2 + 8*g**2 - 3*g**2 - g**3 + 4*g - 1 - 3*g.
-(g - 1)**2*(g + 1)
Let a be 4 - 2 - (-2)/3. Let i be 1/(-2)*1*-6. Factor -8/3*r**i - a*r + 4*r**2 + 2/3*r**4 + 2/3.
2*(r - 1)**4/3
Let b(h) be the second derivative of -h**5/60 + h**4/12 + h**3/18 - h**2/2 + 64*h. Find f, given that b(f) = 0.
-1, 1, 3
Let m(s) be the third derivative of -7*s**5/60 - s**4/6 - 2*s**3/21 + 2*s**2. Let m(a) = 0. Calculate a.
-2/7
Let d(f) be the first derivative of 5*f**6/6 - 3*f**5 + 5*f**4/4 + 5*f**3 - 5*f**2 - 14. Find c such that d(c) = 0.
-1, 0, 1, 2
Let y(b) be the first derivative of b**5/5 - b**4 - 57. Determine z, given that y(z) = 0.
0, 4
Let k(h) be the first derivative of h**4/2 - 4*h**3/3 - h**2 + 4*h - 17. Factor k(w).
2*(w - 2)*(w - 1)*(w + 1)
Let n(x) be the first derivative of x**6/540 - x**5/45 + x**4/9 - 4*x**3/3 + 2. Let k(v) be the third derivative of n(v). Find i, given that k(i) = 0.
2
Let w = 16 - 10. Let h = 1 - -1. Factor -7*t + 3 - t**h - 1 + w*t.
-(t - 1)*(t + 2)
Let y = 32 - 286/9. Factor 4/9 - 2/9*j**3 + y*j - 4/9*j**2.
-2*(j - 1)*(j + 1)*(j + 2)/9
Let k(a) = -a**2 - 5 + 0 + 5*a + 2. Let n(s) = -2*s**2 + 9*s - 5. Let o(p) = 5*k(p) - 3*n(p). Factor o(t).
t*(t - 2)
Let h(x) be the third derivative of x**5/330 + 2*x**4/33 + 7*x**3/33 + 8*x**2. Factor h(z).
2*(z + 1)*(z + 7)/11
Let z(s) = -s**2 + 7*s - 4. Let w be z(6). Suppose x + 2 = w*x. What is j in j**3 + 3*j**2 - j**4 - 2*j**x + 0*j**2 - j**5 = 0?
-1, 0, 1
Let b(g) be the third derivative of 0 + 0*g - 1/60*g**4 + 1/15*g**3 + 1/300*g**6 - g**2 - 1/150*g**5. Factor b(y).
2*(y - 1)**2*(y + 1)/5
Let x(a) be the third derivative of -4*a**2 + 0*a**4 - 1/27*a**3 + 0 + 1/270*a**5 + 0*a. Solve x(i) = 0.
-1, 1
Let h(u) = u**3 - u**2 + u - 1. Let k(m) = 7*m**3 - 22*m**2 + 40*m - 28. Let a(r) = -4*h(r) + k(r). Solve a(f) = 0 for f.
2
Let j(o) be the second derivative of 1/72*o**4 + 0 - 1/120*o**5 + 0*o**2 + 0*o**3 + 4*o. Factor j(g).
-g**2*(g - 1)/6
Let j(h) be the first derivative of h**6/40 + h**5/30 - h**4/8 - h**3/3 - 3*h**2/2 - 3. Let x(s) be the second derivative of j(s). Factor x(r).
(r - 1)*(r + 1)*(3*r + 2)
Suppose -4 + 36 = 2*h. Let n = h - 10. Factor o + 4 - 8*o**2 + 0*o**2 + n*o**2 + o.
-2*(o - 2)*(o + 1)
Let b be 2*-1*(-10)/40. Solve -1/3 + 1/6*v + b*v**2 = 0.
-1, 2/3
Let n(c) be the first derivative of -5 - 3/10*c**2 + 2/5*c + 1/15*c**3. Factor n(i).
(i - 2)*(i - 1)/5
Suppose 4*i - 2 = 6. Factor 4 - 2*r + 4*r**4 - 2 - 5*r**2 + 4*r**3 - 2*r**4 - i*r**5 + r**2.
-2*(r - 1)**3*(r + 1)**2
Let i = -21 - -30. Let f be i + -5 + -2 + 4. Solve 0*y**2 - 3*y**3 + 12*y**3 + 3*y**4 + f*y**2 = 0.
-2, -1, 0
Let s(y) be the third derivative of 0*y - 1/10*y**7 + 1/4*y**4 + 0 - 1/28*y**8 + 2/5*y**5 + y**2 + 1/20*y**6 - 1/2*y**3. Find t, given that s(t) = 0.
-1, 1/4, 1
Let x(w) = w**2 - 7*w. Let z be 6/(-4)*4/(-3). Let a(p) = z*p - p + 5*p - p**2. Let c(f) = 7*a(f) + 6*x(f). Factor c(l).
-l**2
Let n(p) be the second derivative of 1/48*p**4 + 1/8*p**2 - 6*p - 1/12*p**3 + 0. Factor n(h).
(h - 1)**2/4
Let x be (-8)/12*(-6)/4. Suppose k = -5*o + 15, 9 = -3*o + 4*k - k. Let -5*d + 8*d + 3*d**3 + 6*d**o + x - 1 = 0. Calculate d.
-1, 0
Let y(z) be the second derivative of 1/9*z**3 + 1/18*z**4 - z + 1/9*z**2 + 1/90*z**5 + 0. Factor y(t).
2*(t + 1)**3/9
Factor u**4 + u**4 + 0*u**2 + 2*u**5 - 2*u**2 - 2*u**3.
2*u**2*(u - 1)*(u + 1)**2
Let q be (-40)/24 + (-64)/(-6). Let t(b) be the second derivative of -1/6*b**4 - 4*b + 2*b**3 + 0 - q*b**2. Factor t(k).
-2*(k - 3)**2
Let z = -2 - -4. Suppose 3*n - 18 = 3*m, 2*m + 6 = 3*n - 4*n. Factor -z - s**2 + s**2 + s**2 + s**n.
2*(s - 1)*(s + 1)
Let x(v) = -v**2 - v - 1. Let p(m) = 3*m**2 - 7*m - 11. Let o(r) = 2*p(r) - 22*x(r). Determine f so that o(f) = 0.
-2/7, 0
Factor 4/11*r**2 + 0 + 2/11*r + 2/11*r**3.
2*r*(r + 1)**2/11
Let i(n) = -27*n - 1. Let j be i(2). Let y be j/(-45) + -1 + 0. Suppose 0*r**2 + 2/9*r**3 + 0 - y*r = 0. What is r?
-1, 0, 1
Let j = 7 - 2. Factor -3*v**5 - v**5 + 5*v**j.
v**5
Suppose -5*z + 2 + 2 = 4*p, -4*z + 3*p = -28. Suppose -5*t + 13 = 3*l - z*l, 2*l + 8 = t. Suppose s**3 + 1 + s**3 - s**t - s - s**3 = 0. What is s?
-1, 1
Let n(g) be the first derivative of g**6/90 - g**4/6 - g**3 - 9. Let b(v) be the third derivative of n(v). Factor b(o).
4*(o - 1)*(o + 1)
Let l(y) be the first derivative of -2/39*y**3 + 8/13*y**2 - 4 - 32/13*y. Factor l(s).
-2*(s - 4)**2/13
Let x = 10 + -9. Let r be (3 - x/1)/7. Find i, given that 2/7*i**2 - 4/7*i + r = 0.
1
Let s(v) be the third derivative of v**6/150 - v**5/150 - v**4/30 + v**3/15 - 12*v**2. Solve s(z) = 0 for z.
-1, 1/2, 1
Let c(t) be the second derivative of -t**5/50 + 4*t**4/15 - 3*t + 3. Factor c(q).
-2*q**2*(q - 8)/5
Factor 0*b + 0 + 10/3*b**3 - 8/3*b**2.
2*b**2*(5*b - 4)/3
Solve 13*z - 60*z**3 - 35*z**4 - 3*z - 19*z**2 + 4*z**2 = 0 for z.
-1, 0, 2/7
Let l(b) be the third derivative of 0*b**3 + 0*b + 0 - b**2 + 1/30*b**5 - 1/12*b**4. Factor l(y).
2*y*(y - 1)
Factor -2 - 4/3*o + 4/3*o**3 + 16/9*o**2 + 2/9*o**4.
2*(o - 1)*(o + 1)*(o + 3)**2/9
Let o = 40/3 - 13. Factor 0 + o*p**3 + 0*p - 1/3*p**2.
p**2*(p - 1)/3
Let j(c) be the first derivative of 2*c**2 - 1/2*c**4 - 7 + 0*c - 2/3*c**3. Let j(n) = 0. What is n?
-2, 0, 1
Solve -4*r**4 + 0*r**3 + 8 - r**2 - 3*r**2 + 4*r - 12*r**3 + 8*r = 0.
-2, -1, 1
Let r(m) be the third derivative of -m**7/630 - m**6/45 - 2*m**5/15 - 4*m**4/9 - 8*m**3/9 - m**2. Determine l so that r(l) = 0.
-2
Let f(l) be the first derivative of l**7/105 + l**6/20 + l**5/10 + l**4/12 - l**2 + 1. Let k(r) be the second derivative of f(r). Suppose k(j) = 0. Calculate j.
-1, 0
Let v(x) be the first derivative of -x**5/300 - x**4/40 - x**3/15 - 4*x**2 + 5. Let s(g) be the second derivative of v(g). Let s(w) = 0. Calculate w.
-2, -1
Suppose -5*d + 24 = -d. Let y(j) = j**2 - 3*j - 14. Let m be y(d). Find g, given that -2/9*g**5 - 8/9*g**m - 2/9*g - 4/3*g**3 + 0 - 8/9*g**2 = 0.
-1, 0
Suppose -5/8*l - 1/4 + 1/8*l**4 + 1/8*l**3 - 3/8*l**2 = 0. Calculate l.
-1, 2
Let n(u) be the second derivative of -u**6/1260 - u**5/140 - u**4/42 - u**3 - 5*u. Let i(p) be the second derivative of n(p). Let i(s) = 0. What is s?
-2, -1
Let z = 41 - 25. Suppose -6*c = -10*c + z. Let -8*r**5 - 2*r**4 + r**5 + 0*r**c = 0. Calculate r.
-2/7, 0
Determine j, given that 34*j + 3*j**2 - 37*j + 3*j**3 - 3*j**2 = 0.
-1, 0, 1
Let f(o) be the third derivative of -o**6/10 + 11*o**5/40 + 19*o**4/32 + o**3/4 - o**2 - 23*o. Find h, given that f(h) = 0.
-1/2, -1/8, 2
Let b(u) = u - 7. Let p be b(-4). Let d(s) = -s**3 - 11*s**2 + s + 11. Let y be d(p). Factor -2/7*c**4 + 0*c + 0*c**3 + y + 0*c**2.
-2*c**4/7
Let a(d) be the second derivative of 2*d**6/105 + d**5/35 - 5*d**4/21 + 2*d**3/7 - 5*d. Factor a(h).
4*h*(h - 1)**2*(h + 3)/7
Let y(s) = 50*s**4 + 15*s**3 - 37*s**2 + 13*s. Let j(i) = 25*i**4 + 7*i**3 - 18*i**2 + 6*i. Suppose 9*l = 8*l - 2. Let c(g) = l*y(g) + 5*j(g). Factor c(h).
h*(h + 1)*(5*h - 2)**2
Let k(f) = -5*f**4 + 8*f**4 - 4*f**4 + 1. Let p(g) = -g**3 + g**2 + g - 1. Let x(w) = 4*k(w) + 4*p(w). Factor x(n).
-4*n*(n - 1)*(n + 1)**2
Let c(v) be the first derivative of -4/27*v**3 + 4/45*v**5 - 1/9*v**2 + 2 + 1/27*v**6 + 0*v**4 + 0*v. Factor c(u).
2*u*(u - 1)*(u + 1)**3/9
Solve 0 - 15*i**4 + 0 - 14*i**3 - 4*i**3 - 3*i**2 = 0.
-1, -1/5, 0
Find f such that 3/2*f - 1/2*f**2 - 1 = 0.
1, 2
Suppose 0 = -4*y + w + 12, 3*y - 4*w - 9 = 0. Let a(m) be the first derivative of 0*m**2 + 7/5*m**5 + 0*m - 5/4*m**4 - 2/3*m**3 + y. Factor a(r).
r**2*(r - 1)*(7*r + 2)
Let c(m) = m**2 + 4*m + 5. Let r be c(-4). Solve -2*o**r - 2*o**4 + 9*o - 9*o = 0 for o.
-1, 0
Let f(p) be the third derivative of p**8/1008 - p**6/90 - p**5/90 + p**4/24 + p**3/9 + 4*p**2. Factor f(w).
(w - 2)*(w - 1)*(w + 1)**3/3
Let j(k) be the third derivative of -k**8/112 - 3*k**7/70 + k**6/40 + 11*k**5/20 + 3*k**4/2 + 2*k**3 - 31*k**2. Factor j(m).
-3*(m - 2)*(m + 1)**3*(m + 2)
Let g(w) = w + 18. Let v be g(-16). Suppose -v*u**3 + 4*u**3 + 27 - 27*u - 3*u**3 + 9*u**