g. Solve -3*u**4 + u**2 + n - 3 + 2*u**3 + 3 = 0.
-1/3, 0, 1
Let w be (-1 - 0)/(-1)*9. Let r be 5/w*(4 + 29). Find n, given that -2*n**2 + r*n**3 + 8/3 - 28/3*n + 25/3*n**4 = 0.
-2, -1, 2/5
Let b(u) be the first derivative of 2*u**3/9 + 2*u**2/3 + 2*u/3 + 6. Solve b(r) = 0.
-1
Let o(x) = x**2 - 14*x - 24. Let w(a) = -2*a**2 + 13*a + 24. Let b(s) = -5*o(s) - 4*w(s). Factor b(u).
3*(u + 2)*(u + 4)
Let t(c) be the first derivative of 14*c**5/5 - 5*c**4/2 - 6*c**3 + 5*c**2 + 4*c - 9. Factor t(u).
2*(u - 1)**2*(u + 1)*(7*u + 2)
Let u(s) be the second derivative of s**4/12 + 2*s**3/3 - 20*s. Factor u(j).
j*(j + 4)
Let a(u) = -33*u**4 - 24*u**3 + 36*u**2 + 48*u - 27. Let h(p) = -8*p**4 - 6*p**3 + 9*p**2 + 12*p - 7. Let l(b) = 5*a(b) - 21*h(b). Suppose l(j) = 0. What is j?
-2, 1
Let l(f) = -3*f**2 - 4*f - 1. Let c(u) = -7*u**2 - 9*u - 2. Let i(t) = -2*c(t) + 5*l(t). Factor i(s).
-(s + 1)**2
Let c(h) be the second derivative of 1/15*h**3 + 0 + 1/60*h**4 - 6*h + 0*h**2. Factor c(n).
n*(n + 2)/5
Let x be (8/6)/(2/18). Suppose 3*c - 5*g + 17 = -c, -2*g + x = c. Solve -8 - c*y**2 - y - 7*y + 0*y**2 = 0.
-2
Let i(x) be the second derivative of x**6/135 - x**5/15 + x**4/54 + 8*x**3/9 + 16*x**2/9 - 10*x. Suppose i(o) = 0. Calculate o.
-1, 4
Let p(f) be the second derivative of -f**8/2240 - f**7/2520 + f**6/240 + f**5/120 + f**4/12 + f. Let i(b) be the third derivative of p(b). Factor i(u).
-(u - 1)*(u + 1)*(3*u + 1)
Find x such that -2/3*x + 4/5 + 2/15*x**2 = 0.
2, 3
Let r(v) be the second derivative of -v**6/135 + v**5/30 - v**4/27 - 2*v. Factor r(j).
-2*j**2*(j - 2)*(j - 1)/9
Let i be (-5)/(-20) + (-14)/(-8). Factor -1/4 - 1/4*g**i - 1/2*g.
-(g + 1)**2/4
Let b(p) be the second derivative of p**5/60 + p**4/24 - 2*p**2 - 5*p. Let o(z) be the first derivative of b(z). Factor o(s).
s*(s + 1)
Let r(c) be the third derivative of c**8/336 + c**7/105 - c**6/40 - 15*c**2. Factor r(v).
v**3*(v - 1)*(v + 3)
Let t(b) be the first derivative of b**4/20 + 2*b**3/15 - b**2/10 - 2*b/5 + 3. Factor t(h).
(h - 1)*(h + 1)*(h + 2)/5
Let l(q) be the third derivative of -5*q**8/84 - 26*q**7/105 - q**6/5 + 2*q**5/3 + 11*q**4/6 + 2*q**3 - 16*q**2. Suppose l(m) = 0. What is m?
-1, -3/5, 1
Let u be (24/(-324))/(-1 - (-6)/9). Factor 2/9 - u*n**2 - 2/9*n**3 + 2/9*n.
-2*(n - 1)*(n + 1)**2/9
Suppose 5*n - h - 84 = -5*h, 0 = -2*n + h + 44. Suppose 0 = 4*v - q + 4*q - n, 5*v + 5*q - 30 = 0. Find s, given that 2*s**2 - s + v*s**3 + 0*s - 2 - s = 0.
-1, 1
Let a(l) = -l**3 - 3*l**2 + 3*l + 1. Let x be a(-5). Let s be (-2)/3 - (-30)/x. Factor 2/3*g - s*g**2 - 2/3.
-(g - 2)**2/6
Suppose 9 = 3*z - 3. Let q(y) = -z - 3 - 4*y + 0*y + 1 - y**2. Let l(o) = 4*o**2 + 16*o + 25. Let t(k) = 2*l(k) + 9*q(k). Find r, given that t(r) = 0.
-2
Let s(j) = j**2 + j. Let i be s(-2). Factor -t**4 + 3*t**3 - 2*t**2 - 2*t**i + 2*t**2.
-t**2*(t - 2)*(t - 1)
Let o(k) be the first derivative of 4 + 2/3*k**3 + k**2 - 2/5*k**5 - 1/2*k**4 + 0*k. Factor o(u).
-2*u*(u - 1)*(u + 1)**2
Let k(h) be the first derivative of -h**3/9 + h/3 - 6. Factor k(t).
-(t - 1)*(t + 1)/3
Let t(o) be the first derivative of -9/20*o**5 - 1 + 2*o**3 + 1/14*o**7 - o + 0*o**2 + 1/5*o**6 - o**4. Let r(h) be the first derivative of t(h). Factor r(n).
3*n*(n - 1)**2*(n + 2)**2
Let a(v) be the first derivative of v**5/5 - 3*v**4/4 + v**3/3 + 3*v**2/2 - 2*v - 12. Let a(u) = 0. What is u?
-1, 1, 2
Let z(c) be the first derivative of -c**3/9 + c**2 - 3*c - 4. Find b such that z(b) = 0.
3
Let n(u) be the first derivative of 5*u**4/32 - 9*u**3/8 + 27*u**2/16 + 27*u/8 - 34. Let n(z) = 0. What is z?
-3/5, 3
Let y = 0 + 0. Let d(n) be the third derivative of -2/3*n**3 + 0 - 1/3*n**4 - 1/12*n**5 + y*n + 2*n**2 - 1/120*n**6. Solve d(p) = 0.
-2, -1
Suppose 5*h**4 + 2*h**5 - 12*h**5 - 15*h**5 + 16*h**3 + 4*h**2 = 0. Calculate h.
-2/5, 0, 1
Factor 29*o**2 - 25*o**2 + 4*o - 8*o**3 - 4*o.
-4*o**2*(2*o - 1)
Suppose -4*g + g = -6. Factor -12 - 20*x**2 + 12*x + 11*x**2 + 6*x**g.
-3*(x - 2)**2
Let m(g) be the second derivative of g**6/75 + 4*g**5/25 + 7*g**4/10 + 6*g**3/5 + 29*g. Factor m(x).
2*x*(x + 2)*(x + 3)**2/5
Let n(d) = -7*d + 37. Let j be n(5). Factor 0 + 1/3*i**j - i.
i*(i - 3)/3
Let h be ((-10)/4)/((-60)/12). Let m(i) be the second derivative of 2*i - 1/3*i**3 - 2*i**2 + h*i**4 - 1/15*i**6 + 1/10*i**5 + 0. Factor m(p).
-2*(p - 2)*(p - 1)*(p + 1)**2
Let h be 8/44 - (-28)/88. Find x such that -1/2*x**3 - 3/2*x + h + 3/2*x**2 = 0.
1
Let p(w) = -7*w**5 + 2*w**4 - 4*w**3 - 13*w**2 + 2*w - 7. Let z(h) = 3*h**5 - h**4 + 2*h**3 + 6*h**2 - h + 3. Let k(b) = 4*p(b) + 9*z(b). Factor k(r).
-(r - 1)**2*(r + 1)**3
Let u = 6349/1248 + -66/13. Let i(x) be the third derivative of -u*x**4 + 1/480*x**6 + 0*x**5 - x**2 + 0*x + 0*x**3 + 0. Factor i(q).
q*(q - 1)*(q + 1)/4
Let f(r) = 2*r**3 - 4*r**2 + 3*r - 2. Let n be f(2). Find l, given that -23*l**4 + 10*l**4 - 3*l**5 + 10*l**n - 3*l - 3 + 6*l**3 + 6*l**2 = 0.
-1, 1
Let q = -3 - -9. Let a(d) = d**2 - 7*d + 6. Let v be a(q). Let 0 - 2/5*g**2 + 0*g + v*g**3 + 2/5*g**4 = 0. Calculate g.
-1, 0, 1
Let d(t) be the first derivative of t**6/45 + 2*t**5/75 - t**4/30 - 2*t**3/45 - 9. Factor d(y).
2*y**2*(y - 1)*(y + 1)**2/15
Suppose -5*r + 20 = -0*r. Factor 4*i**5 + i**3 - i**5 - r*i**5.
-i**3*(i - 1)*(i + 1)
Solve 2/9*f**5 + 20*f**3 + 90*f - 54 - 60*f**2 - 10/3*f**4 = 0 for f.
3
Suppose -h - 1 = 4. Let j be 0/(2 + h) - -2. Find t such that 0*t**2 - 2 + 5*t - 6*t**j + 2*t**3 + t = 0.
1
Let j(p) be the second derivative of 0 + 3*p - 2/5*p**2 - 1/15*p**3 - 1/10*p**5 + 4/15*p**4. Let j(m) = 0. What is m?
-2/5, 1
Suppose -y - 1 - 1/4*y**2 = 0. What is y?
-2
Let i(b) be the second derivative of 3*b**5/80 - b**4/4 + b**3/8 + 9*b**2/4 + 14*b. Factor i(l).
3*(l - 3)*(l - 2)*(l + 1)/4
Let q(y) = -y**2 - y - 2. Let i be (-1)/(14/(-4) + 4). Let r(p) = -p - 1. Let k(n) = i*r(n) + q(n). Find g such that k(g) = 0.
0, 1
Determine o so that -4/3*o**4 - 7/3*o + 7/3*o**3 - 2/3 + 2*o**2 = 0.
-1, -1/4, 1, 2
Let j(x) be the third derivative of -x**5/6 + x**4/6 - x**3/15 - 3*x**2. Factor j(b).
-2*(5*b - 1)**2/5
Find h, given that -2*h**3 - 2*h + 3*h**2 + h - h - 7*h**2 = 0.
-1, 0
Let y = 88 - 48. Factor -4*l + 2*l**2 + 3*l**2 + y*l**3 - 3*l**2 - 8*l**2.
2*l*(4*l + 1)*(5*l - 2)
Let l(q) be the first derivative of -q**5/60 - q**4/6 - 2*q**3/3 + 3*q**2/2 - 3. Let m(t) be the second derivative of l(t). Factor m(w).
-(w + 2)**2
Let x(z) be the third derivative of -z**7/1365 + z**6/260 - z**4/39 - 5*z**2. Factor x(m).
-2*m*(m - 2)**2*(m + 1)/13
Let d(i) be the first derivative of 4 - 4/3*i**3 - 12*i - 10*i**2 + i**4. Determine r, given that d(r) = 0.
-1, 3
Let j(r) be the first derivative of -12*r**3/11 + 6*r**2/11 - r/11 - 19. Factor j(h).
-(6*h - 1)**2/11
Let k be (1/13)/(6/39). Solve 1/2*s + k - s**2 - s**3 + 1/2*s**4 + 1/2*s**5 = 0 for s.
-1, 1
Let p(m) be the third derivative of m**7/35 + m**6/40 - m**5/4 + m**4/4 - 5*m**2. Factor p(o).
3*o*(o - 1)*(o + 2)*(2*o - 1)
Determine w so that 0 - 5/2*w + 5/2*w**3 + 0*w**2 = 0.
-1, 0, 1
Suppose -20 = -k - 3*k + 5*q, q = -5*k - 4. Suppose k*p - 4 = -p. Find f such that -p*f + 0*f + 2*f**2 + 2*f = 0.
0, 1
Let f(l) be the third derivative of -l**6/240 - l**5/120 + 8*l**2 + 5. Determine k, given that f(k) = 0.
-1, 0
Factor 2*w - 2*w - 6*w**4 + 2*w - 3*w**2 + 7*w**4.
w*(w - 1)**2*(w + 2)
Let l(g) be the first derivative of -2*g**5/65 + g**4/13 - 2*g**2/13 + 2*g/13 + 28. Solve l(z) = 0 for z.
-1, 1
Let l(a) be the first derivative of -2*a**5/15 - 2*a**4 - 92*a**3/9 - 20*a**2 - 50*a/3 + 11. Factor l(i).
-2*(i + 1)**2*(i + 5)**2/3
Let s = -2 - -5. Factor 3*p**4 + 6*p**2 + 3*p**5 - s*p + p**4 - 10*p**4.
3*p*(p - 1)**3*(p + 1)
Determine v so that -3*v**4 + 27*v**3 + 2*v**5 - 15*v**3 + 2*v + 8*v**2 + 11*v**4 = 0.
-1, 0
Let z be ((-1 - -3) + -2)/((-20)/(-20)). Suppose 4/7*n + 38/7*n**4 + z - 30/7*n**3 - 2*n**5 + 2/7*n**2 = 0. What is n?
-2/7, 0, 1
Let n be (8/2*6/(-12))/(-1). Factor 3/4*f**n + 3/2 - 9/4*f.
3*(f - 2)*(f - 1)/4
Let f be 14/(-5) + 8 + -5. Find w, given that 1/5*w**3 + 0*w**2 - f*w**4 + 0*w + 0 = 0.
0, 1
Let b(x) be the first derivative of -2*x**5/75 + 2*x**3/15 - 2*x**2/15 - 21. Factor b(n).
-2*n*(n - 1)**2*(n + 2)/15
Let d(n) be the first derivative of -2*n**5/5 - 8*n**4 - 60*n**3 - 200*n**2 - 250*n - 37. Fa