 = 10. Factor -1/2*d - 1/4*d**3 - u*d**v + 0.
-d*(d + 1)*(d + 2)/4
Let y(f) be the first derivative of 3*f**5/25 + 3*f**4/20 - 4*f**3/5 - 6*f**2/5 + 4. Factor y(x).
3*x*(x - 2)*(x + 1)*(x + 2)/5
Let -2/9*k + 2/9*k**2 - 4/9 = 0. What is k?
-1, 2
Let w(x) be the first derivative of x**4/6 + 2*x**3/3 + x**2 - 2*x + 6. Let u(z) be the first derivative of w(z). Let u(f) = 0. Calculate f.
-1
Let y be 21/36*(-14 - -17). What is k in -1/4*k**3 + 3/4*k**5 - y*k**2 + 0 + 7/4*k**4 - 1/2*k = 0?
-2, -1, -1/3, 0, 1
Let p(f) = f**2 - f - 2. Let l(j) = 134*j**2 - 102*j + 6. Let d(a) = l(a) - 6*p(a). Factor d(q).
2*(8*q - 3)**2
Suppose 0 = -i + 3 - 1. Suppose i = n + u, 0 = -5*n + 3*u + 2 + 8. Factor -n + 6*f**4 + 2*f**3 - 4*f**2 + 2.
2*f**2*(f + 1)*(3*f - 2)
Suppose -8/5*z**3 + 4/5*z - 16/5 + 4/5*z**5 + 32/5*z**2 - 16/5*z**4 = 0. What is z?
-1, 1, 4
Suppose -7 = -5*i + 4*s, 4*s = 7 + 1. Let n = 91 - 635/7. Factor -4/7*q + 6/7*q**2 - n*q**i + 0.
-2*q*(q - 2)*(q - 1)/7
Let h be -2 - -2 - (-7 + 3). Suppose 4*y + 2 = -14, -y - h = 2*j. Suppose 0*i + j*i**2 + 2/3*i**3 + 2/3*i**4 + 0 = 0. Calculate i.
-1, 0
Factor 2/15*d - 4/15*d**2 + 0 + 2/15*d**3.
2*d*(d - 1)**2/15
Let n be 3/6 + (-1)/(-2). Let c = n - -3. Solve 2/3*t**2 + 2/3 + 4/3*t**3 + 1/3*t**5 - 5/3*t - 4/3*t**c = 0.
-1, 1, 2
Let b be (-94)/(-18) + -2 + -3. Determine h, given that -4/9*h**3 + b*h**5 + 0*h**2 + 0 + 2/9*h + 0*h**4 = 0.
-1, 0, 1
Let y(p) = -p**3 - p**2 + p. Let v(m) = -2*m**5 - m**4 + 6*m**3 + 4*m**2 - 4*m. Suppose 2*s + 9 = -s. Let d(u) = s*y(u) - v(u). Suppose d(b) = 0. What is b?
-1, 0, 1/2, 1
Let p = -5/36 - 739/36. Let u = p + 21. Factor -b**2 + 1/3*b**3 - u + b.
(b - 1)**3/3
Let j(p) = -2*p**2 - 2*p. Let s be j(0). Let k(y) be the first derivative of 0*y**2 + 1 + s*y - 2/15*y**3 - 6/25*y**5 + 1/15*y**6 + 3/10*y**4. Solve k(m) = 0.
0, 1
Let q(g) be the third derivative of g**10/90720 - g**9/45360 - g**4/8 - 2*g**2. Let d(i) be the second derivative of q(i). Factor d(y).
y**4*(y - 1)/3
Factor -4/5 + 18/5*z - 4*z**2 + 6/5*z**3.
2*(z - 2)*(z - 1)*(3*z - 1)/5
Let -2 - 49*m**3 - 126*m**2 - 10 - 60*m + 4 = 0. What is m?
-2, -2/7
Factor -2/3*c**4 - 4/3*c**3 + 0 + 4/3*c + 2/3*c**2.
-2*c*(c - 1)*(c + 1)*(c + 2)/3
Let m(k) = -1. Let q(r) = -2*r**2 + 4. Let y(o) = 2*m(o) + q(o). Factor y(d).
-2*(d - 1)*(d + 1)
Factor -19*v**4 + 5*v**4 - 2*v**4 - 8*v + 20*v**3 + 28*v**2.
-4*v*(v - 2)*(v + 1)*(4*v - 1)
Let q be ((-4)/10)/(6/(-30)). Let h be (-2)/(-4)*2/4. Find m, given that 1/4*m**q - h + 0*m = 0.
-1, 1
Suppose -158 = -2*s + w, -4*w = 2*s - 2*w - 158. Factor s*l + 51*l + 27*l**2 + 81 - 49*l + 3*l**3.
3*(l + 3)**3
Let t(s) be the first derivative of 3*s**5/20 - s**3/2 + s + 4. Let f(w) be the first derivative of t(w). What is j in f(j) = 0?
-1, 0, 1
Suppose -3*m + 3*f = -21, -4*m - 2*f + 41 = 1. Let k = 10 - m. Factor k + 0*b**2 - 1/2*b**3 + 3/2*b.
-(b - 2)*(b + 1)**2/2
Let q be (-5)/(280/24) - 20/(-28). Find p such that -2/7*p - 2/7*p**2 + q*p**3 + 2/7 = 0.
-1, 1
Factor -y + 22 - 2*y - 24 - y**2.
-(y + 1)*(y + 2)
Let o(y) be the second derivative of -y**6/180 - y**5/40 - y**4/24 - y**3/36 + 3*y. Solve o(c) = 0.
-1, 0
Factor n + 2 - 23*n**3 - 1 + 22*n**3 - n**2.
-(n - 1)*(n + 1)**2
Factor -3*d**2 - 3*d**4 + 9/2*d**3 + 3/4*d + 0 + 3/4*d**5.
3*d*(d - 1)**4/4
Find w such that -4*w - 4/5*w**3 + 0 - 24/5*w**2 = 0.
-5, -1, 0
Let y(j) = j**3 - 8*j**2 + 7*j. Let l be y(7). Let t(s) be the first derivative of 1/7*s**2 - 1/14*s**4 + l*s**3 - 2 + 0*s. Solve t(p) = 0.
-1, 0, 1
Let q(j) be the second derivative of -1/12*j**5 + 1/90*j**6 + 0*j**2 + 2/9*j**4 + 0 - 2/9*j**3 - 3*j. Determine g, given that q(g) = 0.
0, 1, 2
Let r(b) be the second derivative of -b**5/10 + 2*b**4/3 - 5*b**3/3 + 2*b**2 - 4*b. Factor r(v).
-2*(v - 2)*(v - 1)**2
Find b, given that -14 - 6*b + 31 - 12 - 12*b**3 - 8 + 21*b**2 = 0.
-1/4, 1
Let g(u) be the third derivative of -1/160*u**6 - 3/280*u**7 + 0 + 1/120*u**5 + 0*u + 0*u**4 + 6*u**2 + 0*u**3. Factor g(a).
-a**2*(3*a - 1)*(3*a + 2)/4
Let g(s) be the first derivative of 6 - 2/3*s**3 + 0*s**2 - 1/2*s**4 + 0*s. Find y, given that g(y) = 0.
-1, 0
Let g = 3713/16 + -232. Let r(o) be the second derivative of 2*o + 1/8*o**3 - g*o**4 + 0*o**2 + 0. Factor r(z).
-3*z*(z - 1)/4
Let o(s) = 4*s**3 + 3*s**2 + 6*s + 1. Let k(z) = 3*z**3 + 3*z**2 + 5*z + 1. Let b(g) = 3*k(g) - 2*o(g). Factor b(v).
(v + 1)**3
Suppose -3*u - 1 = -10. Let g be (4/u)/(2/6). Factor 0*v + 4/3*v**3 - 2/3*v**2 - 2/3*v**g + 0.
-2*v**2*(v - 1)**2/3
Let v(z) be the first derivative of 5*z**6/42 + 12*z**5/35 + z**4/7 - 10*z**3/21 - 9*z**2/14 - 2*z/7 + 1. Factor v(h).
(h - 1)*(h + 1)**3*(5*h + 2)/7
Let p = -15 - -15. Let j be (-21)/15 + 6/3. Factor 3/5*x**3 + p*x + 3/5*x**4 - j*x**2 - 3/5*x**5 + 0.
-3*x**2*(x - 1)**2*(x + 1)/5
Let w(d) be the first derivative of -1/60*d**6 - d + 0*d**4 + 0*d**3 + 0*d**2 - 1/40*d**5 + 1. Let x(j) be the first derivative of w(j). Factor x(p).
-p**3*(p + 1)/2
Let d(c) be the first derivative of -c**3 + c**2/2 + 2*c + 5. What is o in d(o) = 0?
-2/3, 1
Let g be (10/(-2))/(-5)*(0 - 0). Let b(t) be the first derivative of 1/2*t**6 - 3 + 0*t**5 - 3/4*t**4 + g*t + 0*t**3 + 0*t**2. Factor b(y).
3*y**3*(y - 1)*(y + 1)
Let t(f) be the first derivative of -9*f**6/40 + 21*f**5/20 - 2*f**4 + 2*f**3 + 7*f**2/2 - 4. Let d(k) be the second derivative of t(k). Factor d(l).
-3*(l - 1)*(3*l - 2)**2
Let u be (-16)/(-56) + (-33)/(-7). Let r(o) be the third derivative of 1/105*o**7 + 0*o + o**2 - 1/30*o**u + 0 + 0*o**3 + 1/6*o**4 - 1/30*o**6. Factor r(t).
2*t*(t - 2)*(t - 1)*(t + 1)
Let h(r) be the first derivative of -25/22*r**4 - 4/11*r**2 - 3 - 40/33*r**3 + 0*r. Suppose h(y) = 0. What is y?
-2/5, 0
Let x = -198627/5 - -39970. Let z = x + -243. Let 0 - z*r**4 + 0*r**3 + 6/5*r**2 + 2/5*r = 0. Calculate r.
-1/2, 0, 1
Let -4*d**2 - 2*d + 4*d**3 - 11*d**4 - 2*d + 15*d**4 = 0. Calculate d.
-1, 0, 1
Let f(x) be the first derivative of x**5/80 - 4*x + 4. Let o(b) be the first derivative of f(b). Suppose o(g) = 0. Calculate g.
0
Let o = 50 + -50. Factor 1/2*b**2 - 1/2*b**4 + o + 0*b + 0*b**3.
-b**2*(b - 1)*(b + 1)/2
Let 0*u + 2/3*u**3 - 1/6*u**4 - 2/3*u**2 + 0 = 0. What is u?
0, 2
Suppose 0 = 3*a - 4*a + 1. Let q(s) = 152*s**4 - 58*s**3 - 77*s**2 - 12*s + 5. Let j(c) = -c**4 - c**3 + c**2 - 1. Let d(v) = a*q(v) + 5*j(v). Factor d(u).
3*u*(u - 1)*(7*u + 2)**2
Let l(h) = -8*h**2 - 8*h. Suppose 2*u = -4, 3*u = -n + 4*n + 27. Let y(p) = 3*p - 2*p**2 + 5*p**2 + 0*p**2. Let k(b) = n*y(b) - 4*l(b). Factor k(a).
-a*(a + 1)
Let x(d) be the second derivative of 1/60*d**5 + 0*d**3 + 0 - 1/36*d**4 + 2*d + 0*d**2. Factor x(z).
z**2*(z - 1)/3
Let a(b) be the third derivative of 0 - 1/40*b**5 + 1/24*b**4 + 0*b**3 - b**2 + 0*b**6 + 1/420*b**7 + 0*b. Let a(f) = 0. Calculate f.
-2, 0, 1
Let c(x) be the third derivative of x**8/40320 - x**6/1440 + x**5/15 - 3*x**2. Let u(n) be the third derivative of c(n). Factor u(a).
(a - 1)*(a + 1)/2
Let s be (-6)/(-120)*5 + 7/4. Let m(d) be the first derivative of 2*d + 4 - 8/3*d**3 + 3*d**s. Factor m(c).
-2*(c - 1)*(4*c + 1)
Let h(w) = -8*w**3 + 12*w**2 - 60*w - 64. Let a(s) = s**3 - s**2 + s. Let i(k) = 12*a(k) + h(k). Factor i(o).
4*(o - 4)*(o + 2)**2
Suppose k + n = -0*n + 10, -2*k + 5*n + 27 = 0. Let u = k + -8. Factor -56*h**3 + 2 + 8*h**2 + 16*h**u + 16*h**4 + 28*h**2 - 14*h.
2*(h - 1)*(2*h - 1)**3
Let d(p) = -p**3 + 9*p**2 - 15*p + 9. Let n be d(7). Let w(g) be the first derivative of 1 + 4*g**n - 8*g - 2/3*g**3. Find o, given that w(o) = 0.
2
Let b = 8 + -8. Suppose b = h + h - 4. Factor 0 + 3/2*n**h - 3*n.
3*n*(n - 2)/2
Let d(v) be the second derivative of -v**4/12 + 13*v**3/6 - 6*v**2 - 6*v. Determine h, given that d(h) = 0.
1, 12
Let j = -10 + 12. Factor -6 - 2*s - 9*s - 4*s + 9*s**j.
3*(s - 2)*(3*s + 1)
Find k such that 0 - 4*k**3 - 4*k**4 - 4/3*k**2 - 4/3*k**5 + 0*k = 0.
-1, 0
Find g such that -8*g + g**2 + 10*g**2 - 4 - 6*g**2 = 0.
-2/5, 2
Let w(r) be the first derivative of 2*r**3/51 - 3*r**2/17 + 4*r/17 - 7. Factor w(i).
2*(i - 2)*(i - 1)/17
Suppose -7 - 3 - 12*z**3 + 2 + 12*z + 8*z**2 = 0. What is z?
-1, 2/3, 1
Factor 3/4*j - 1/4*j**2 - 1/2.
-(j - 2)*(j - 1)/4
Let v(y) be the third derivative of -y**5/60 + 5*y**4/24 + 4*y**3/3 - 2*y**2. Let o be v(6). Factor 0 - 2*l**3 + 1 + 3*l**2 - 6*l**