/12 + v**3/2 - 4*v**2. Factor r(x).
(x - 3)*(x - 1)*(x + 1)**2
Suppose -3 = -2*j + 5. Factor -2*m**3 + 3*m**2 + m**3 + m + 0*m**j + m**4 + 4*m**3.
m*(m + 1)**3
Let d(l) be the first derivative of 3*l**4/28 - 3*l**3/7 - 3*l**2/14 + 9*l/7 - 4. Factor d(r).
3*(r - 3)*(r - 1)*(r + 1)/7
Let g(q) be the second derivative of 1/15*q**6 - 1/6*q**4 + 0*q**5 + 0*q**3 + q + 0 + 0*q**2. Factor g(i).
2*i**2*(i - 1)*(i + 1)
Let 9/2*p**3 - 3/2*p**4 + 0 - 9/2*p**2 + 3/2*p = 0. What is p?
0, 1
Let m(q) be the second derivative of -q**4/4 + 3*q**3/2 - 8*q. Factor m(u).
-3*u*(u - 3)
Determine h so that -8*h**2 + 23/4*h**3 + 0 + 3*h - 3/4*h**4 = 0.
0, 2/3, 1, 6
Let y(a) = a**2 + 3. Let l be y(0). Let r = l + 0. Let 0 + 2/3*w**r - 4/3*w - 2/3*w**2 = 0. Calculate w.
-1, 0, 2
Let j = 4/41 - -54/287. Suppose 0 = 6*h - h. Factor 0 + h*q - 2/7*q**4 - 4/7*q**3 - j*q**2.
-2*q**2*(q + 1)**2/7
Factor 0*p - 2*p**4 + 2/3*p**5 + 2*p**3 + 0 - 2/3*p**2.
2*p**2*(p - 1)**3/3
Find z such that 2*z**3 + 1 + 2 - 14*z + 1 + 8*z = 0.
-2, 1
Suppose 10 = 5*j, 0 = -2*a + 3*a + 4*j - 11. Factor 2*l - a*l + 2*l**2 - 5*l**2 + l**3 + 2*l**2 + l**4.
l*(l - 1)*(l + 1)**2
Let s be (-3)/8*(-8)/18. Let w = s - -1/12. Factor 0 - w*y - 3/4*y**2.
-y*(3*y + 1)/4
Factor 0 - 4/3*x + 4/3*x**4 + 4/3*x**3 - 4/3*x**2.
4*x*(x - 1)*(x + 1)**2/3
Let q(w) be the second derivative of w**5/50 + 2*w**4/15 + w**3/3 + 2*w**2/5 - 5*w. Factor q(c).
2*(c + 1)**2*(c + 2)/5
Let v(a) = 11*a**3 - 8*a**2 - 2*a. Let p(y) = y**3 - y**2 - y. Let i(k) = -2*p(k) + v(k). Factor i(b).
3*b**2*(3*b - 2)
Let g = -1000/77 - -146/11. Solve -4/7*l - 2/7*l**2 - g = 0 for l.
-1
Let l(u) = u**3 + u**2 - 2*u - 1. Let t be l(2). Let s = t - 4. Factor m + 2*m**5 - s*m**5 - 2*m**4 + 2*m**2 + 0*m**5.
-m*(m - 1)*(m + 1)**3
Let a(y) be the second derivative of 4*y - 1/6*y**4 + 1/6*y**3 + 0 + 0*y**2 + 1/20*y**5. Factor a(x).
x*(x - 1)**2
Let i = 12 - 6. Factor -z**4 - 2*z**4 - i*z**3 + z - z.
-3*z**3*(z + 2)
Let n(g) be the second derivative of -g**4/72 + g**3/18 - g**2/12 + g + 15. Suppose n(p) = 0. What is p?
1
Let i(m) be the first derivative of 2/3*m**3 + 5/2*m**2 - 1/6*m**6 - 2 - m**4 - 4/5*m**5 + 2*m. Find x such that i(x) = 0.
-2, -1, 1
Suppose 4*s = s + 4*l, -3*s + 24 = 4*l. Factor -4*d**2 - 2*d**2 + 5*d**2 + d - 2 - s*d.
-(d + 1)*(d + 2)
Suppose 2*u + 4 = 10. Solve 9*r**3 - 10*r**4 - 4 - u*r**4 + 4 + r**2 - 2*r + 5*r**5 = 0 for r.
-2/5, 0, 1
Let u(k) = 40*k**4 + 3*k**3 - 40*k**2 - 13*k - 5. Let v(o) = 100*o**4 + 8*o**3 - 100*o**2 - 32*o - 12. Let i(t) = 12*u(t) - 5*v(t). Let i(g) = 0. Calculate g.
-1, -1/5, 0, 1
Factor 2*n**3 - 20*n**5 + 0*n + 19*n**5 - n.
-n*(n - 1)**2*(n + 1)**2
Let o = 53/2 - 26. Let -o*r**2 + 1/2 + 0*r = 0. Calculate r.
-1, 1
Suppose 0 = -4*n + 14 + 10. Suppose g - n = -g. Factor o**4 + 2*o**3 + 0*o**g + o - 1 - 3*o.
(o - 1)*(o + 1)**3
Let r(l) = -18*l**3 - 14*l**2 + 62*l - 31. Let g(d) = -d**2 + d + 1. Let s(w) = -g(w) - r(w). Solve s(v) = 0.
-5/2, 2/3, 1
Find s such that 46*s**3 + 4*s - 2*s**2 - 52*s**3 + 4*s**2 + 0*s**2 = 0.
-2/3, 0, 1
Let p be (-12)/(-3) - (9/12 - -3). Determine l so that 1/4*l**2 - p*l**4 - 1/4*l**3 + 0 + 1/4*l = 0.
-1, 0, 1
Let -4/5*z**5 - 36/5*z + 0 + 32/5*z**4 - 88/5*z**3 + 96/5*z**2 = 0. What is z?
0, 1, 3
Factor -60*v**2 + 0*v**4 - 12 + 30*v**3 + 25*v + 0*v**4 + 20*v - 3*v**5.
-3*(v - 1)**4*(v + 4)
Let n = 36/31 + -200/279. Let k(t) be the first derivative of t**2 - 1 - n*t**3 - 2/3*t. Factor k(m).
-2*(m - 1)*(2*m - 1)/3
Suppose -5*b = -13 - 7. Factor -14*s**4 - s**2 - 6*s**3 + b*s - 6*s**5 + 7*s**2 + 0*s**3.
-2*s*(s + 1)**3*(3*s - 2)
Let r = -23 + 33. Let b(q) = -3*q + 10 + 6*q**2 + r*q - 4. Let g(l) = -l**2 - l - 1. Let d(x) = b(x) + 5*g(x). Determine j, given that d(j) = 0.
-1
Let j(p) be the second derivative of p**6/105 - p**5/35 - p**4/14 - 11*p - 3. Factor j(v).
2*v**2*(v - 3)*(v + 1)/7
Let p(n) be the first derivative of 1/25*n**5 - 2/5*n**2 - 3 + 2/5*n**3 + 1/5*n - 1/5*n**4. Determine c so that p(c) = 0.
1
Let z(d) = 2*d - 13. Let b be z(11). Suppose 4*g - h = -0*g + 15, -3*h = b. Factor -1/2*m**g - 1/2*m**2 + 1/2 + 1/2*m.
-(m - 1)*(m + 1)**2/2
Let t = -60 + 60. Factor 0 + t*d + 2/3*d**4 - 2/3*d**5 + 2/3*d**3 - 2/3*d**2.
-2*d**2*(d - 1)**2*(d + 1)/3
Suppose 12 = c + 2*c. Factor -2 - 4 - 2 + 4*h + c*h**2.
4*(h - 1)*(h + 2)
Let v(w) = w**2 + 6*w + 5. Let k(m) = -2*m**2 - 7*m - 5. Let f(l) = 4*k(l) + 6*v(l). Find r, given that f(r) = 0.
-1, 5
Solve -6/5 + 27/5*q**2 + 21/5*q = 0 for q.
-1, 2/9
Let n(x) = -x + 3 - 2 - 2. Let w be n(-4). Solve m + 7*m**w + 7*m + 7 - 3 - 19*m**2 = 0.
-2/7, 1, 2
Let g be 183/27 - 2/(-9). Let c = g + -5. Solve -4*j + c*j**2 + 6*j**3 - 10*j**4 + 4*j**5 + 4*j - 2*j = 0.
-1/2, 0, 1
Factor 0*u**2 + 8*u + 4*u**2 + 4*u**5 - 68*u**3 - 4*u**4 + 56*u**3.
4*u*(u - 2)*(u - 1)*(u + 1)**2
Let b be (1/(-3))/((-1)/591). Let p = b + -584/3. Find n, given that 0 + 16/3*n**3 - 11/3*n**2 + 2/3*n - p*n**4 = 0.
0, 2/7, 1
Factor -4/3*q**5 - 1/3*q**2 + 1/3*q - 3*q**3 - 11/3*q**4 + 0.
-q*(q + 1)**3*(4*q - 1)/3
Let q(d) be the first derivative of -3*d**4/28 - 15*d**3/7 - 225*d**2/14 - 375*d/7 + 12. Suppose q(r) = 0. Calculate r.
-5
Factor -10*c**3 + 3*c**3 + 2*c**2 + 9*c**3 + 0*c**3.
2*c**2*(c + 1)
Let -7*i**2 - 4*i - 4*i**2 + 3*i**2 + 4*i**3 + 8*i = 0. What is i?
0, 1
Let j = 6 - 6. Let g be j/(3 + -2 - 2). Factor 0*n**2 + g + 0*n - 1/2*n**3.
-n**3/2
Let i be (48/56)/(-6) + 29/7. Find z such that -2/5*z**5 - 8/5*z**2 + 6/5*z**3 - 8/5*z + 0 + 4/5*z**i = 0.
-1, 0, 2
Suppose -6*m + 7*m = 2. Let b(n) be the first derivative of 0*n + 2/7*n**2 + 2/21*n**3 - m. Factor b(c).
2*c*(c + 2)/7
Suppose 8*l + 4*l**3 + 12*l**4 - 28*l**2 + 4*l**3 + 0*l**2 = 0. What is l?
-2, 0, 1/3, 1
Let b(o) = -24*o + 0 + 3*o**2 + 23*o - 1 + o**3. Let a be b(-3). Factor 0*n + 2/7 - 2/7*n**a.
-2*(n - 1)*(n + 1)/7
Let u(a) = 3*a**5 + 9*a**4 + 21*a**3 + 15*a**2 + 15*a + 15. Let j(f) = -1 + 2*f**3 - f - 3*f**3 - f**2 + f**3 - f**3. Let n(y) = 15*j(y) + u(y). Factor n(v).
3*v**3*(v + 1)*(v + 2)
Let g(r) be the second derivative of -1/9*r**3 + 7/60*r**5 - 4*r + 0 + 0*r**2 + 5/36*r**4. Determine d, given that g(d) = 0.
-1, 0, 2/7
Let l be (1/2)/(2/(4 - 3)). Factor 0 + 1/4*p**4 - 1/2*p**3 + l*p**2 + 0*p.
p**2*(p - 1)**2/4
Let d = 0 - -2. Find x such that x**2 - x**2 + x**d - 1 = 0.
-1, 1
Let a(f) be the second derivative of 0*f**2 + 0 + 8/21*f**7 - 1/3*f**4 - 3/5*f**5 + 0*f**6 - 6*f + 0*f**3. Factor a(t).
4*t**2*(t - 1)*(2*t + 1)**2
Let n be (2 - 1 - 1)*(-3)/(-12). Let t(d) be the third derivative of 0 + 1/3*d**4 + n*d - 4/3*d**3 - 1/30*d**5 - 3*d**2. Solve t(a) = 0.
2
Suppose 8 = 3*y - 1. Suppose x = -y*x + 4. Let -x + f**3 - f**2 - 1 - f + 3 = 0. What is f?
-1, 1
Find p such that 8/5*p**4 - 12/5*p - 4/5*p**5 + 16/5*p**3 + 0 - 8/5*p**2 = 0.
-1, 0, 1, 3
What is i in -1 - 3*i**2 + 12*i - 6 - 5 = 0?
2
Determine k so that 0*k**2 + 0 + 0*k - 2/3*k**3 = 0.
0
Let w(r) = 37*r**3 + 27*r**2 - 10*r + 8. Let h(n) = -4*n**2 - 7*n**2 - 8*n**3 + 2*n**2 - 3 - 4*n**3 + 3*n. Let g(a) = -8*h(a) - 3*w(a). Factor g(c).
-3*c*(c + 1)*(5*c - 2)
Let w(d) = 11*d**5 + 12*d**4 - 11*d**3 - 7*d**2. Let g(l) = -6*l**5 - 6*l**4 + 6*l**3 + 3*l**2. Let y be (6/8)/(4/16). Let n(j) = y*w(j) + 5*g(j). Factor n(b).
3*b**2*(b - 1)*(b + 1)*(b + 2)
Let z = -4003/4 - -1001. Factor -5/4*o**3 - 3/4*o**2 + 5/4*o + o**4 - z.
(o - 1)**2*(o + 1)*(4*o - 1)/4
Let k(c) = 5*c**2 + 68*c + 69. Let o(g) = 15*g**2 + 203*g + 209. Let u(f) = -7*k(f) + 2*o(f). Factor u(h).
-5*(h + 1)*(h + 13)
Let d(x) be the second derivative of x**4/24 - x**3/4 + 4*x. Factor d(t).
t*(t - 3)/2
Let d = 43 - 44. Let g be 0/(-2 - 1 - d). Solve 1/2*i**4 + g + 6*i**2 - 4*i - 3*i**3 = 0 for i.
0, 2
Suppose -4*a + 54 = 5*a. Let o(s) be the third derivative of 0 + 1/36*s**4 - 1/180*s**a + 2*s**2 + 1/90*s**5 + 0*s - 1/9*s**3. Factor o(z).
-2*(z - 1)**2*(z + 1)/3
Let a = -1/9 - -4/9. Let n = 131/57 - -26/19. Solve -4/3*b**5 + 0 - 3*b**3 - 1/3*b**2 + a*b - n*b**4 = 0 for b.
-1, 0, 1/4
Let i(n) be the second derivative of n**4/48 - 5*n**3/24 + n**2/2 - 19*n. What is f in i(f) = 0?
1, 4
Let j(p) = 2*p**2 + 5*p. Let s(r) = r**2 + 2*r. Let h(o) = -6*j(o) + 14*s(o). Let h(x) = 0. What is x?
0, 1
Let x(n) = -6*n**4 + 2*n**3 + 8*n - 8. Let p(b) = -4*b**4 + b**3 + 5*b - 5. Let h(g) = 8*p(g) - 5*x(g). Factor h