4*g**3 = 0. Calculate g.
0, 1
Let w be (-1 - 3)*(-56)/6. Let l = w + -37. Determine p, given that 1/3*p + 0 + l*p**3 + 2/3*p**2 = 0.
-1, 0
Let b(q) be the first derivative of -1/2*q - 6 - 5/2*q**3 - 25/8*q**4 + 9/4*q**2. What is w in b(w) = 0?
-1, 1/5
Factor -3/2*g**2 - 4 - 11/2*g.
-(g + 1)*(3*g + 8)/2
Let b(v) = -2*v**4 + 4*v**2 + 4*v + 4. Suppose 2*q + 0*i - 14 = 4*i, 0 = -3*q + 4*i + 13. Let y(a) = a**2 + a + 1. Let k(s) = q*b(s) + 4*y(s). Factor k(g).
2*g**4
Let u(d) = d**2 - 180*d + 892. Let q(b) = -b**2 + 120*b - 595. Let a(v) = 8*q(v) + 5*u(v). Find x, given that a(x) = 0.
10
Let c = -16 - -20. Let w(y) be the first derivative of 0*y**c + 0*y**2 - 2/3*y**3 + 1 + 1/5*y**5 + y. Find d, given that w(d) = 0.
-1, 1
Factor 10/9*a**3 + 16/9 - 4*a**2 + 8/3*a.
2*(a - 2)**2*(5*a + 2)/9
Let y(l) = l**3 - 39*l - 11. Let v(k) = k**3 - 19*k - 6. Let b(i) = -9*v(i) + 4*y(i). Factor b(m).
-5*(m - 2)*(m + 1)**2
Let k(t) = -4*t**2 + 27*t - 14. Let v be k(6). Factor 2/13*a**5 + 2/13*a + 4/13*a**2 - 2/13 - 4/13*a**3 - 2/13*a**v.
2*(a - 1)**3*(a + 1)**2/13
Let l(k) be the first derivative of 2*k**3/15 - k**2/5 + 2. Find v, given that l(v) = 0.
0, 1
Let s = 123/2 - 60. Let f(d) be the second derivative of -6/5*d**5 + 0*d**2 + 0 - 2/3*d**3 - 1/3*d**6 - 2*d - s*d**4. What is w in f(w) = 0?
-1, -2/5, 0
Suppose -2*v = -t + 11, -8 = -3*t + 3*v + 13. Factor -5 - 3*b + 4 - 4*b**3 + 3*b**t - 3*b**2.
-(b + 1)**3
Let x(u) = -u**2 + 5*u + 8. Suppose 2*o = s + 4 + 9, -5*o + 32 = -2*s. Let b be x(o). Determine v so that 0 + 0*v + 0*v**3 + 2/9*v**b - 2/9*v**4 = 0.
-1, 0, 1
Find s, given that 8*s - 12 - 4/3*s**2 = 0.
3
Let g(k) = -3*k**3 + 3*k + 1 + 2*k**3 + 2*k**2 + 1. Let w(j) = -5*j**3 + 8*j**2 + 13*j + 9. Let x(y) = 9*g(y) - 2*w(y). What is r in x(r) = 0?
-1, 0
Let f(i) be the third derivative of -i**10/453600 + i**8/60480 + i**5/30 - 2*i**2. Let a(c) be the third derivative of f(c). Factor a(n).
-n**2*(n - 1)*(n + 1)/3
Let w(b) be the second derivative of -8*b - 4/3*b**3 + 7/40*b**5 + 0 + 3/28*b**7 + 7/20*b**6 - 17/24*b**4 - b**2. Determine c, given that w(c) = 0.
-1, -2/3, 1
Let q(o) be the second derivative of o**6/2 - 11*o**5/4 + 55*o**4/12 - 5*o**3/6 - 5*o**2 - 13*o. What is i in q(i) = 0?
-1/3, 1, 2
Factor -9/8 + 3/4*z + 3/8*z**2.
3*(z - 1)*(z + 3)/8
Let h be 337/345 - 4/(-10). Let c = -1/23 + h. Factor -c*n**2 - 49/3*n**4 + 0*n - 28/3*n**3 + 0.
-n**2*(7*n + 2)**2/3
Let m(j) be the first derivative of 2*j**4/3 - 4*j**3/3 + j**2 - j/3 + 9. Factor m(s).
(2*s - 1)**3/3
Suppose 9*d - 10*d - 24 = 0. Let h = d + 27. Let 1/2*c - c**2 + 0 + 1/2*c**h = 0. What is c?
0, 1
Factor 0 - 1/4*d**3 + 0*d**4 + 1/4*d**5 + 0*d + 0*d**2.
d**3*(d - 1)*(d + 1)/4
Let c(r) be the first derivative of -2*r**3/45 + 4*r**2/5 - 24*r/5 - 17. Factor c(x).
-2*(x - 6)**2/15
Suppose 0 = -3*g + 8*g + 5. Let l be (g - 0)/(35/(-14)). Factor l*h**5 + 4/5*h**2 - 4/5*h**3 - 2/5*h**4 + 2/5*h - 2/5.
2*(h - 1)**3*(h + 1)**2/5
Suppose 20 = -3*j + 5*v, 2*v + 0 = 8. Suppose j*y**3 - 1/3*y**4 + 0*y + 2/3*y**2 - 1/3 = 0. What is y?
-1, 1
Factor 0 - 2*k**4 + 2/3*k**5 + 0*k**2 + 4/3*k**3 + 0*k.
2*k**3*(k - 2)*(k - 1)/3
Suppose 2 = v - 0. Let a be 16*2 + v + -2. Solve -23*q**2 + 98*q**5 - 33*q**2 - 58*q**3 - 8*q - a*q**3 + 56*q**4 = 0.
-1, -2/7, 0, 1
Let w be (-14)/(-77) - (-798)/88. Let k = w + -9. Factor k*o**2 + 0 + 0*o.
o**2/4
Factor 2*z**2 - z**4 - 8*z**5 - 12*z**3 + 0*z**2 + 10*z**4 + 9*z**4.
-2*z**2*(z - 1)**2*(4*z - 1)
Let 12/7*z**4 + 0 - 12/7*z**2 + 4/7*z**3 + 4/7*z - 8/7*z**5 = 0. Calculate z.
-1, 0, 1/2, 1
Factor 2*v**3 - 41*v + 4*v**2 + 1 - 1 + 43*v.
2*v*(v + 1)**2
Let p(g) be the third derivative of -g**8/168 + 4*g**7/105 - g**6/10 + 2*g**5/15 - g**4/12 + 6*g**2. Suppose p(n) = 0. What is n?
0, 1
Let l be (-3)/9 - 6/(-12). Let b(y) be the third derivative of -1/120*y**6 + l*y**3 - 1/60*y**5 + 0 + 1/24*y**4 + y**2 + 0*y. Factor b(k).
-(k - 1)*(k + 1)**2
Let i = 3 + -4. Let l be (i - -2)/(1/3). Find b, given that -3*b**2 - 15*b**2 + 48*b**5 + 2*b + 0*b + b + 72*b**4 + 3*b**l = 0.
-1, 0, 1/4
Factor 25/6*q**4 + 5/3*q - 20/3*q**3 + 5/6*q**2 + 0.
5*q*(q - 1)**2*(5*q + 2)/6
Let h(f) be the second derivative of -f**6/240 - f**5/40 + f**3/2 + 2*f. Let z(x) be the second derivative of h(x). Factor z(y).
-3*y*(y + 2)/2
Solve 15*w**2 - 2*w**3 - 2*w**4 + 4 - 120*w - 3*w**4 + 136*w = 0.
-1, -2/5, 2
Let k(g) be the second derivative of g**5/60 + g**4/18 + g**3/18 - 5*g. Suppose k(x) = 0. What is x?
-1, 0
Suppose -2*p = 3*f - 5*p - 141, -49 = -f + 3*p. Let -10*j**2 - 8 + 44*j - 14*j**3 - 58*j + f*j = 0. What is j?
-2, 2/7, 1
Let o(p) = -p**2 - 4*p - 1. Let x(a) = 3*a**2 + 13*a + 3. Let i(h) = 7*o(h) + 2*x(h). Determine d so that i(d) = 0.
-1
Let s(q) be the second derivative of -q**5/70 - q**4/21 + q**3/21 + 2*q**2/7 + 2*q - 22. Factor s(b).
-2*(b - 1)*(b + 1)*(b + 2)/7
Suppose 5*g + 3*a - 2*a = 17, -g - 4*a = 8. Let k = 6 - g. Determine x so that 3*x**5 - 2*x**4 - k*x + 2*x**2 - 2*x**5 + x = 0.
-1, 0, 1
Let p(z) be the second derivative of 1/8*z**2 + 1/12*z**3 + 0 + 3*z + 1/48*z**4. Factor p(g).
(g + 1)**2/4
Let g(p) be the first derivative of p**3/4 + p**2/8 - 11. Determine w so that g(w) = 0.
-1/3, 0
Suppose -o + 3*o = 4. Factor -3*r**3 - 3*r**o - 4*r + 53 + 3*r - r**4 - 53.
-r*(r + 1)**3
Let g(x) be the second derivative of -1/39*x**3 - 24/65*x**5 - 2/13*x**4 - 4*x + 0 + 0*x**2 - 64/195*x**6. Let g(i) = 0. What is i?
-1/4, 0
Let t(g) be the first derivative of -3 + 0*g - 3/8*g**4 - g**3 + 0*g**2. Factor t(a).
-3*a**2*(a + 2)/2
Let n(m) be the third derivative of 2*m**2 + 0 - 1/30*m**6 - 5/6*m**4 - 4/15*m**5 - 4/3*m**3 + 0*m. What is h in n(h) = 0?
-2, -1
Let w(c) = c**2 - 6*c + 9. Let f be 31/5 - 9/45. Let y(x) = x + 4*x - 9 - x**2 + x. Let k(b) = f*w(b) + 5*y(b). Determine h so that k(h) = 0.
3
Let -485*j**2 - 410*j - 235*j**3 - 70*j + 3*j**5 - 180 - 10*j**5 - 55*j**4 + 2*j**5 = 0. What is j?
-3, -2, -1
Let d = 10 - 8. Let -17*u**3 + u**3 + 0*u**4 - 8*u - 4*u**4 + 0*u**3 - 20*u**d = 0. What is u?
-2, -1, 0
Let t = -204 + 1042/5. Factor 8/5*v**4 + t*v**3 - 2/5 + 18/5*v**2 + 2/5*v.
2*(v + 1)**3*(4*v - 1)/5
Factor 0*w**3 + 1/3*w**2 - 1/3*w**4 + 0*w + 0.
-w**2*(w - 1)*(w + 1)/3
Let d be (-1)/(0 - 4/8). Solve 3*l**2 - 4*l + 4*l + 2*l - 5*l**d = 0.
0, 1
Let d(a) be the third derivative of 0*a + 0 + 1/210*a**5 + 1/28*a**4 + a**2 + 2/21*a**3. Factor d(x).
2*(x + 1)*(x + 2)/7
Suppose 6 = 5*f - 3*i, -4*f + 3*i + 2 = -4. Suppose f - 25/6*x**5 + 7/2*x**3 + 10/3*x**4 + 2/3*x - 10/3*x**2 = 0. Calculate x.
-1, 0, 2/5, 1
Let h(p) = -p**3 - p**2 - p. Let l(c) = -c**4 + 6*c**3 + 14*c**2 + 16*c + 4. Let b(o) = -5*h(o) - l(o). Factor b(n).
(n - 4)*(n + 1)**3
Let p be ((-2)/6)/(5/(-60)). Factor 0*d**2 + 2*d**4 + 2*d**2 - p*d**4 + 2*d**5 - d**5 - d.
d*(d - 1)**3*(d + 1)
Let j(z) be the second derivative of -1/60*z**5 + 0*z**2 - 1/18*z**3 - 1/18*z**4 + 0 - z. Let j(t) = 0. Calculate t.
-1, 0
Let y = 2/91 + 160/1001. Solve 0*b**2 - y*b**3 + 0 + 2/11*b = 0 for b.
-1, 0, 1
Let u(h) = h**2 + 6*h. Let t(v) = 4*v**2 + 19*v. Let f(d) = 6*t(d) - 21*u(d). Determine r, given that f(r) = 0.
0, 4
Factor -d**3 + d**2 + 2*d**2 + 2*d**3 - 4*d**3 + 6*d.
-3*d*(d - 2)*(d + 1)
Let n be (-1)/16*(29 - 49). Factor 1/4*f**3 + n*f - 1/2 - f**2.
(f - 2)*(f - 1)**2/4
Factor 72*g + 28*g**2 + 52*g - 20*g - 32.
4*(g + 4)*(7*g - 2)
Suppose -4*u + 7 = -4*b - 1, 0 = -4*u + 2*b + 14. Let m(a) be the third derivative of 0*a + 0*a**4 - 1/420*a**6 + 0 + a**2 + 0*a**3 + 0*a**u. Factor m(r).
-2*r**3/7
Suppose -15 = 3*k - 8*k. Suppose -4*w + 10 = 2*c, 0 = -k*w + c + 14 - 4. Find p, given that -4/7*p + 0 + 10/7*p**2 - 10/7*p**4 + 4/7*p**w = 0.
-1, 0, 2/5, 1
Suppose 5 = p - 0. Suppose o + 2 = 2*o. Suppose -3*k**3 + p*k**3 + k**3 + k**o = 0. Calculate k.
-1/3, 0
Let x(f) be the second derivative of f**7/630 - f**6/216 + f**5/360 - 2*f**3/3 - f. Let y(r) be the second derivative of x(r). Factor y(j).
j*(j - 1)*(4*j - 1)/3
Let q(o) be the first derivative of -o**6/2 + 3*o**5/5 + 3*o**4/4 - o**3 - 13. Factor q(k).
-3*k**2*(k - 1)**2*(k + 1)
Let u(b) be the second derivative of 1/2*b**2 + 0*b**3 + 1/15*b**5 + 0*b**4 + 0 - 1/60*b**6 - 3*b. Let q(r) be the first derivative of u(r). Factor q(l).
-2*l**2*(l - 2)
Let s(p) = p**2 - 2*p - 1. Let d be s(-1). Factor 0*k + 2*k**2 + 0*