ind g such that b(g) = 0.
-2, 0, 1
Let x(v) be the first derivative of 3*v**4/4 - 6*v**2 + 46. Solve x(i) = 0.
-2, 0, 2
Factor 15*t - 124 + 124 - 5*t**2.
-5*t*(t - 3)
Let p(a) be the third derivative of a**7/75 + 3*a**6/100 - a**5/30 - 3*a**4/20 - 2*a**3/15 - 25*a**2. What is v in p(v) = 0?
-1, -2/7, 1
Let l = -14 + -28. Let x be (8/(-14))/(132/l). Factor x + 4/11*r + 2/11*r**2.
2*(r + 1)**2/11
Let 2/11*k**3 + 16/11 - 8/11*k - 4/11*k**2 = 0. What is k?
-2, 2
Let w(k) be the first derivative of -k**6/6 + 2*k**5/5 - k**4/4 - 8. What is z in w(z) = 0?
0, 1
Let j(t) = -1 + t + 0*t + 7. Let b be j(-4). Factor 1/2*d - 1/2 + 1/2*d**b - 1/2*d**3.
-(d - 1)**2*(d + 1)/2
Let t(y) = y + 10. Let o = 7 - 15. Let f be t(o). Determine j, given that -2/3 - 2/3*j + 2/3*j**f + 2/3*j**3 = 0.
-1, 1
Let z(c) be the second derivative of -c**9/7560 + c**8/4200 + c**7/2100 - c**6/900 + 4*c**3/3 - 7*c. Let l(p) be the second derivative of z(p). Factor l(x).
-2*x**2*(x - 1)**2*(x + 1)/5
Let r = -565 + 567. Factor 1/3*c + 1/3*c**r + 0.
c*(c + 1)/3
Suppose -4*j = -j - 9. What is a in 12*a**2 - a**j + 6*a**4 - 10*a**2 - 2*a**5 - 5*a**3 = 0?
0, 1
Let u = -29/6 - -157/30. Let p be 14/(35/(-5)) - (-1 - 4). Factor 2/5*w**5 + u*w**p + 0*w**2 + 0*w - 4/5*w**4 + 0.
2*w**3*(w - 1)**2/5
Factor 3*y**4 - 341*y**2 - 8*y - 2*y**3 - 5*y**3 + 323*y**2.
y*(y - 4)*(y + 1)*(3*y + 2)
Let m(y) be the first derivative of 3*y**4/16 + y**3/12 - y**2/4 + 3. Factor m(a).
a*(a + 1)*(3*a - 2)/4
Suppose 3*s - 4*s = -3. Let i(r) = -r**2 + 3*r + 2. Let x be i(s). Factor -2/3*p**3 + x*p**2 + 0 - 4/3*p.
-2*p*(p - 2)*(p - 1)/3
Let y(n) be the first derivative of -n**6/21 + 4*n**5/35 + 6*n**4/7 - 12*n**3/7 - 27*n**2/7 - 2. Solve y(i) = 0 for i.
-3, -1, 0, 3
Factor -6*r + 2 + 6 + r**2 - 3*r**2.
-2*(r - 1)*(r + 4)
Let i = 4 - 4. Let c be 34/51*(i - -3). Solve 1/2*h**c - 1/2 - 1/2*h + 1/2*h**3 = 0 for h.
-1, 1
Let r(p) be the first derivative of -4*p**5/35 + 8*p**3/21 - 4*p/7 + 4. Determine d so that r(d) = 0.
-1, 1
Let l(f) be the second derivative of f**4/3 + 2*f**3 + 4*f**2 + 27*f. Factor l(v).
4*(v + 1)*(v + 2)
Let h(j) be the third derivative of -1/120*j**6 - 1/6*j**3 + 1/24*j**4 + 0 + j**2 - 1/60*j**5 + 0*j. Let a(v) be the first derivative of h(v). Factor a(w).
-(w + 1)*(3*w - 1)
Suppose 0 = -2*r - 5*r + 2*r. Factor r + 2/9*v**3 + 0*v - 2/9*v**5 + 0*v**4 + 0*v**2.
-2*v**3*(v - 1)*(v + 1)/9
Let z(h) = 2*h**3 + 10*h**2 + 6*h. Let f(i) = -i. Let w(l) = -6*f(l) - z(l). Factor w(x).
-2*x**2*(x + 5)
Let n(b) be the first derivative of b**6/96 + b**5/30 + b**4/96 - b**3/12 - 2*b**2 - 8. Let d(p) be the second derivative of n(p). Factor d(j).
(j + 1)**2*(5*j - 2)/4
Let c = -23 - -14. Let u = c + 11. Factor -2/5*x + 2/5*x**u + 0.
2*x*(x - 1)/5
Factor 0*b**4 - 3*b**2 + 2*b**5 + 2*b**4 - 2*b**3 - b**2 + 2*b**2.
2*b**2*(b - 1)*(b + 1)**2
Let j(d) = d**2 + 2*d - 3. Let u be j(2). Suppose 28*g**3 - 2*g**4 + 3*g**2 - 25*g**3 - g**4 + 2*g**5 - 5*g**u = 0. Calculate g.
-1, 0, 1
Let q(j) be the first derivative of -1/2*j**2 + 2/15*j**3 - 2 + 0*j - 1/150*j**5 + 1/60*j**4. Let u(m) be the second derivative of q(m). Factor u(z).
-2*(z - 2)*(z + 1)/5
Let m(r) be the second derivative of -r**6/180 + r**5/90 + 2*r**2 + r. Let u(b) be the first derivative of m(b). Let u(x) = 0. Calculate x.
0, 1
Let u be (-183)/295 + 14/35. Let k = u + 681/413. Factor -k*l**4 + 0*l + 0 - 6/7*l**3 + 4/7*l**2.
-2*l**2*(l + 1)*(5*l - 2)/7
Factor 14*d - 20 + 13*d - 5*d + 10*d**3 + 35*d**2 - 2*d.
5*(d + 2)**2*(2*d - 1)
Let x be 15/18*18/20. Suppose -1/4*h**2 + 0*h - 3/4*h**3 - 1/4*h**5 - x*h**4 + 0 = 0. What is h?
-1, 0
Factor 0 + 3/2*q**3 + 3/2*q**2 + 1/2*q**4 + 1/2*q.
q*(q + 1)**3/2
Factor 18/7*h**4 + 0 + 0*h - 50/7*h**2 - 2/7*h**5 - 30/7*h**3.
-2*h**2*(h - 5)**2*(h + 1)/7
Let d(w) be the first derivative of -2/15*w**3 + 0*w**2 + 2/5*w + 4. Find b, given that d(b) = 0.
-1, 1
Let o(l) be the third derivative of l**8/5880 - l**6/1260 - 2*l**3/3 + 3*l**2. Let h(m) be the first derivative of o(m). Factor h(i).
2*i**2*(i - 1)*(i + 1)/7
Factor -112/3*x - 32/3 - 98/3*x**2.
-2*(7*x + 4)**2/3
Let r(z) be the first derivative of 2*z**3 - 6 + 1/2*z**6 + 3/2*z**2 - 3/5*z**5 - 3*z - 3/2*z**4. Determine y so that r(y) = 0.
-1, 1
Find z such that 1/4*z - 1/4*z**2 + 1/2 = 0.
-1, 2
Let a(p) be the second derivative of -p**4/12 - p**3/3 - 9*p. Let a(l) = 0. What is l?
-2, 0
Let h(l) be the third derivative of -l**5/40 + l**4/24 + l**3/12 + 4*l**2. Solve h(g) = 0 for g.
-1/3, 1
Factor -7*h + h + 9*h**2 + 6*h**2 - 15*h**4 + 6*h**3 + 0*h**2.
-3*h*(h - 1)*(h + 1)*(5*h - 2)
Let d(s) be the first derivative of -1/6*s**4 + 0*s - 1/3*s**2 + 2 + 4/9*s**3. Factor d(x).
-2*x*(x - 1)**2/3
Suppose -1 = -a + 1. Let 0*m + 2*m - 15*m**3 + 4*m**a + 17*m**3 = 0. What is m?
-1, 0
Let n(g) = g**2 - 7*g + 2. Let o = -7 - -14. Let q be n(o). Solve -1/2*k**3 + 1/2*k + 0 - 1/2*k**q + 1/2*k**4 = 0.
-1, 0, 1
Let z(v) be the second derivative of 0*v**2 - 7/12*v**4 - 1/6*v**6 - 1/3*v**3 + 2*v - 1/42*v**7 + 0 - 9/20*v**5. Factor z(c).
-c*(c + 1)**3*(c + 2)
Let o(n) = -7*n**2 - 2*n. Let k(d) = -d**2 - d. Let g(v) = -6*k(v) + o(v). Factor g(z).
-z*(z - 4)
Let s(z) be the third derivative of -z**8/90720 - z**7/22680 - 7*z**5/60 + 8*z**2. Let x(w) be the third derivative of s(w). Factor x(q).
-2*q*(q + 1)/9
Suppose 2*o = -3*x - 1, 3*x + 21 = -2*o + 5*o. Let a(c) be the first derivative of 0*c**3 + 1/18*c**6 + 0*c**5 + 1/6*c**2 - 1/6*c**o + 2 + 0*c. Factor a(i).
i*(i - 1)**2*(i + 1)**2/3
Let t = -6719/30 - -224. Let g(m) be the second derivative of -1/12*m**4 + 0*m**5 + t*m**6 + 0 + 0*m**2 + 0*m**3 + 3*m. Find c, given that g(c) = 0.
-1, 0, 1
Determine j, given that -1/2 + 1/2*j**3 - 1/2*j + 1/2*j**2 = 0.
-1, 1
Let w(s) be the first derivative of -s**6/90 - s**5/15 - s**4/6 - s**3 + 7. Let v(z) be the third derivative of w(z). Factor v(c).
-4*(c + 1)**2
Let z(t) be the third derivative of -t**8/50400 + t**5/30 + 4*t**2. Let x(l) be the third derivative of z(l). Solve x(h) = 0.
0
Let g(u) = -u**3 + 2*u**2 + 2*u + 1. Let j be g(-1). Let w be 68/20 + (-2)/5. Factor 2*y - 5*y**3 + 2*y**4 - 4*y**4 + 3*y**w + 2*y**j.
-2*y*(y - 1)*(y + 1)**2
Solve -40*g**3 - 32/3*g**5 + 0 - 52/3*g**2 - 8/3*g - 112/3*g**4 = 0.
-2, -1/2, 0
Suppose -4*u - 2*a = -3*u + 4, 0 = 4*u - 5*a - 10. Let t(b) be the first derivative of u*b**2 - 2/15*b**3 - 1 + 2/5*b. Factor t(z).
-2*(z - 1)*(z + 1)/5
Determine t so that 0 - 3/5*t + 3/5*t**2 = 0.
0, 1
Suppose -8*f = -17*f + 36. Determine v, given that 0 + 0*v**3 + 2/9*v - 2/9*v**5 - 4/9*v**2 + 4/9*v**f = 0.
-1, 0, 1
Suppose -2 = u + 1. Let f(x) = -x**3 - x. Let v(o) = 10*o**3 + 2*o**2 - 4*o - 2. Let g(d) = u*f(d) - v(d). Determine h so that g(h) = 0.
-1, -2/7, 1
Let w = 8 + -5. Suppose -w*s = -2*x - 2*x + 9, s - 10 = -3*x. Let -3 - g**2 + 5 - g**3 - 1 + 5*g - 4*g**x = 0. Calculate g.
-1, -1/5, 1
Suppose -3*d = -55 - 110. Let j be (0 - 10/d)*-2. What is v in 8/11*v**3 + j*v**2 - 2/11*v**4 - 2/11 - 4/11*v - 4/11*v**5 = 0?
-1, -1/2, 1
Find r, given that 5 - 3*r**5 - 6*r**4 - 3*r + 11*r**2 + 6*r**3 + r**2 - 11 = 0.
-2, -1, 1
Factor -1/5 - 2/5*v**2 + 3/5*v**4 + 2/5*v**3 + 1/5*v**5 - 3/5*v.
(v - 1)*(v + 1)**4/5
Let d(n) = n - 1. Let p be d(2). Let z(w) be the first derivative of 4/7*w - 1/7*w**2 - 2/7*w**3 + p. Determine m, given that z(m) = 0.
-1, 2/3
Let j(k) be the third derivative of -k**5/20 + 5*k**4/8 - 2*k**3 - 30*k**2. Factor j(l).
-3*(l - 4)*(l - 1)
Let m be 1/(-6) - 8/(-48). Let m*o - 2/3*o**2 + 2/3 = 0. What is o?
-1, 1
Factor 4/7 - 6/7*t + 2/7*t**2.
2*(t - 2)*(t - 1)/7
Let p(m) be the second derivative of 1/12*m**4 + 0 + 1/6*m**3 - 6*m + 0*m**2. Factor p(j).
j*(j + 1)
Factor 0 - 1/3*c**2 + 1/3*c**3 + 1/3*c**4 - 1/3*c.
c*(c - 1)*(c + 1)**2/3
Let r(o) be the first derivative of 3/5*o**3 + 3/25*o**5 + 0*o - 3 - 9/20*o**4 - 3/10*o**2. Let r(p) = 0. What is p?
0, 1
Let r(v) be the first derivative of -3*v**5/25 - 3*v**4/20 + 3*v**3/5 + 3*v**2/2 + 6*v/5 + 3. Let r(p) = 0. Calculate p.
-1, 2
Solve 0*k**2 - 5*k**3 - 23*k**2 - 2*k**2 + 5*k**4 - 15*k = 0 for k.
-1, 0, 3
Factor 1/4*y - 1/4*y**2 + 0.
-y*(y - 1)/4
Let t = -168 - -168. Factor 0*z + t - 1/7*z**2 - 1/7*z**3.
-z**2*(z + 1)/7
Let t(g) be the third derivative of -49*g**7/60 - 49*g**6/30 - 7*g**5/5 - 2*g**4/3 - g**3/2 + 2*g**2