*4. Factor z(w).
-w*(w - 1)
Find y such that 171*y**2 + 0*y**4 + 3*y**4 + 21*y + 15*y**3 + 6 - 144*y**2 = 0.
-2, -1
Suppose 0 = -2*n - 2 + 12. Determine a, given that 0*a**2 + a**2 + n*a - 2*a**2 - 4*a = 0.
0, 1
Let w(h) = -h - 4. Let k be w(-8). Let 2*l**3 + 0*l**k + 4*l**4 - 6*l**4 = 0. What is l?
0, 1
Let n(c) be the first derivative of -2/15*c**3 + 1/10*c**4 + 0*c - 1 - 2/5*c**2. Factor n(m).
2*m*(m - 2)*(m + 1)/5
Let n be -1*(0 + 0)*1. Factor 1/6*i**4 + n + 1/6*i**2 + 0*i + 1/3*i**3.
i**2*(i + 1)**2/6
Let k be 1100/187 + 4/34. Suppose 9/2*o**2 + k + 3/4*o**3 + 9*o = 0. What is o?
-2
Let l(h) be the third derivative of 0*h - h**2 - 1/24*h**4 + 0 + 1/210*h**7 - 1/168*h**8 + 0*h**3 + 1/40*h**6 - 1/60*h**5. Find p, given that l(p) = 0.
-1, -1/2, 0, 1
Find y such that 3/8*y**3 + 0 + 0*y + 9/8*y**5 - 3/2*y**4 + 0*y**2 = 0.
0, 1/3, 1
Suppose 0*g - 3*o + 6 = 3*g, -4 = 2*o. Suppose a = -1 + g. Suppose 0*j**2 + 0*j - 2/3*j**a + 2/3*j**5 + 0 + 0*j**4 = 0. Calculate j.
-1, 0, 1
Let u(v) be the first derivative of v - 1/2*v**4 + 0*v**3 - 1/5*v**5 - 1 + v**2. Suppose u(g) = 0. Calculate g.
-1, 1
Let u(a) = a**2 - 5*a + 31. Let o(x) = -x**2 + 7*x - 46. Let d(w) = -5*o(w) - 7*u(w). Let i(c) = -c**2 + 6. Let z(h) = 6*d(h) - 13*i(h). Factor z(l).
l**2
Suppose -4*f - o - 68 = 0, 3*o - 33 = 4*f + 35. Let a = f + 19. Let -4/5 + 2/5*m**a - 2/5*m = 0. Calculate m.
-1, 2
Solve 5/4*f - 2*f**3 - 1/2 + 3/4*f**2 - f**4 = 0.
-2, -1, 1/2
Factor -23 + 3*j**2 - 2*j**3 - 4*j**2 + 5*j + 21.
-(j - 1)*(j + 2)*(2*j - 1)
Factor 4*c**3 + 4*c**2 - 4*c - 1 + 3 + 1 - 7.
4*(c - 1)*(c + 1)**2
Let s(c) = c**3 - 3*c**2 - 2*c - 5. Let z be s(9). Let b = z + -905/2. Factor -9/2*v**3 - 8*v - 2 - b*v**2.
-(v + 1)*(3*v + 2)**2/2
Determine x so that 10/9*x**3 + 4/9 - 2/3*x**4 - 10/9*x + 2/9*x**2 = 0.
-1, 2/3, 1
Let p(g) be the second derivative of g**4/6 + g**3/12 - g. Factor p(h).
h*(4*h + 1)/2
Let b = -17 + 6. Let h(l) = 21*l**2 + 47*l - 23. Let y(z) = 8 - 2*z**2 - 5*z**2 - 16*z + 0*z**2. Let s(a) = b*y(a) - 4*h(a). Suppose s(v) = 0. Calculate v.
-2, 2/7
Let p(k) be the first derivative of -2*k**5/35 - k**4/14 + 2*k**3/7 + k**2/7 - 4*k/7 + 18. Solve p(q) = 0 for q.
-2, -1, 1
Let n be (0 + -4)/12*-2. Find k, given that 0*k - n*k**2 + 0 + 0*k**3 + 2/3*k**4 = 0.
-1, 0, 1
Let f(n) = -3*n**5 - 2*n**4 - 3*n**3 + 2*n**2 + 2*n. Let h(p) = -16*p**5 - 10*p**4 - 16*p**3 + 11*p**2 + 11*p. Let q(l) = -22*f(l) + 4*h(l). Factor q(g).
2*g**3*(g + 1)**2
Let j(t) = -3*t**3 - 11*t**2 - 2*t + 4. Let g(u) = u**3 - u**2. Let q(n) = -2*g(n) + 2*j(n). Factor q(w).
-4*(w + 1)*(w + 2)*(2*w - 1)
Let s = 1305 + -137024/105. Let n(m) be the third derivative of -s*m**7 + 1/30*m**5 + 0 + 0*m**3 + 0*m - 1/60*m**6 + 1/12*m**4 + 2*m**2. What is j in n(j) = 0?
-1, 0, 1
Let j(i) = -i**3 - i**2 + 4*i - 5. Let a be j(-4). Determine u, given that -a*u + 8 - 7*u + 14*u + 12*u**2 = 0.
2/3, 1
Let p(m) be the first derivative of -4*m**6/3 + 4*m**5 - 3*m**4 - 4*m**3/3 + 2*m**2 - 5. Solve p(w) = 0.
-1/2, 0, 1
Let u be 2/(-4) + (-55)/(-2). Determine g, given that 6*g + 7*g + 5*g - u + 2*g**2 - 5*g**2 = 0.
3
Let q(o) be the first derivative of 32*o**7/7 - 24*o**6/5 + 9*o**5/5 - o**4/4 + 5*o + 2. Let t(s) be the first derivative of q(s). Let t(l) = 0. What is l?
0, 1/4
Let n(q) = -2*q**2 - 4*q + 3. Suppose -2*j + 1 = -1. Let h(m) = -1. Let d(i) = j*n(i) + 5*h(i). Find v, given that d(v) = 0.
-1
Factor 0*r**3 + 8/17*r**2 - 2/17*r**5 - 6/17*r**4 + 0 + 0*r.
-2*r**2*(r - 1)*(r + 2)**2/17
Let j(h) be the second derivative of h**6/45 - 2*h**5/15 + h**4/6 + 4*h**3/9 - 4*h**2/3 + 9*h. Solve j(k) = 0.
-1, 1, 2
Let u = -695 - -695. Factor 1/5*i**3 + u*i + 0 + 0*i**2.
i**3/5
Let b(w) = 2*w - 2. Let z be b(2). Suppose 0 = -z*c + 6 - 2. Suppose -7/3*v**4 - 1/3 - 2/3*v + 4/3*v**5 - 2/3*v**3 + 8/3*v**c = 0. What is v?
-1, -1/4, 1
Let q = 2641/24 + -110. Let p(c) be the second derivative of -q*c**4 + 0 + 1/12*c**3 + 2*c + 0*c**2. Factor p(j).
-j*(j - 1)/2
Factor 3*g**2 + 0*g**4 + 9/2*g**3 + 0*g - 3/2*g**5 + 0.
-3*g**2*(g - 2)*(g + 1)**2/2
Let k = 1 - -3. Let j be (-3)/5*k/(-6). Factor -j - 14/5*p**2 + 6/5*p**3 + 2*p.
2*(p - 1)**2*(3*p - 1)/5
Let h(r) = -7*r**2 + 11*r - 7. Let o(a) = a**3 + a**2 + a - 1. Let u be 1*(-2)/(1/1). Let z(g) = u*o(g) - 2*h(g). Determine t so that z(t) = 0.
2
Factor 0 + 1/2*o**3 + 3*o + 5/2*o**2.
o*(o + 2)*(o + 3)/2
Suppose -5*r - 22 = -2*m + 11, 2*m - 19 = 3*r. Let a = -5 - r. Determine f so that 0*f**a + 0 + 0*f**4 - f**3 + 1/2*f**5 + 1/2*f = 0.
-1, 0, 1
Let r be (-6)/(-4)*3/(9/4). Suppose 6 + 6*g + 3/2*g**r = 0. Calculate g.
-2
Let g(v) = v**2 - 11*v + 14. Let q be g(10). Find f such that 3*f**2 - 5*f**2 - 84*f**q + 2*f**3 + 85*f**4 - f**3 = 0.
-2, 0, 1
Let u(g) be the second derivative of -1/2*g**2 + g + 0 - 1/80*g**5 - 1/3*g**3 - 5/48*g**4. Determine q so that u(q) = 0.
-2, -1
Let m(q) = -q**3 - 6*q**2 - 7*q - 13. Let z(k) = k**2 - 3*k - 5. Let h be z(4). Let g(w) = w - 1. Let l(f) = h*m(f) + 5*g(f). Find u such that l(u) = 0.
-2
Let x = 14 - 14. Factor x - 5*q**2 + 15*q - 9 - 2*q**2 + q**3 + 0*q**3.
(q - 3)**2*(q - 1)
Suppose -3*w + 39 = -m - 2*m, -4*m = -20. Let n be 24/w*(-6)/(-4). Factor -2*i**3 + n*i**4 - i**4 + 5*i - 3*i - 1.
(i - 1)**3*(i + 1)
Let r(x) be the second derivative of -3*x**5/40 + x**3/4 + 9*x. Factor r(z).
-3*z*(z - 1)*(z + 1)/2
Let b(p) be the second derivative of -p**5/20 + 11*p**4/36 - 2*p**3/3 + 2*p**2/3 - 5*p. Solve b(i) = 0.
2/3, 1, 2
Let x = 26/21 - 4/7. Factor -x*k - 1/3*k**2 + 0.
-k*(k + 2)/3
Let r = 109/45 - 20/9. Factor -r*t**2 + 4/5*t - 4/5.
-(t - 2)**2/5
Suppose 5*t - 6*t + 12 = 0. Factor 2*s**5 - t*s + 12*s - 9*s**3 + 6*s**2 + s**5.
3*s**2*(s - 1)**2*(s + 2)
Let s(n) = n**3 + 14*n**2 - n + 16. Let l be s(-14). Let c be l/9 + (3 - 3). Let -c*h**2 + 2*h + 4/3 = 0. Calculate h.
-2/5, 1
Let c(v) = v - 7*v - v - 3 + 6*v. Let p be c(-5). Solve 0 - 3/5*o + 3/5*o**p = 0.
0, 1
Let l(y) be the third derivative of y**8/10080 + y**7/3780 + 5*y**4/24 - 2*y**2. Let v(p) be the second derivative of l(p). Let v(i) = 0. What is i?
-1, 0
Let b be 9/(-3) - (-7)/((-63)/(-30)). Factor 0 - b*i**3 - 1/3*i**2 + 0*i.
-i**2*(i + 1)/3
Let r(g) = -5*g**4 + 3*g**3 - 3*g**2 - 9*g - 7. Let p(b) = -b**4 - b - 1. Let n(d) = -14*p(d) + 2*r(d). Factor n(z).
2*z*(z - 1)*(z + 2)*(2*z + 1)
Let m(p) be the second derivative of p**7/3780 + p**4/3 + 2*p. Let n(t) be the third derivative of m(t). Suppose n(u) = 0. Calculate u.
0
Let c(z) be the first derivative of z**7/21 - 2*z**6/15 + z**4/3 - z**3/3 + 7*z - 2. Let h(a) be the first derivative of c(a). Find i such that h(i) = 0.
-1, 0, 1
Let w(g) = 4*g**4 - 4*g**3 + 7*g**2 - 7*g. Let i(u) = -u**4 + u**3 - 2*u**2 + 2*u. Let r(q) = -14*i(q) - 4*w(q). Factor r(l).
-2*l**3*(l - 1)
Let c(w) be the third derivative of -27*w**5/40 + 3*w**4/4 - w**3/3 + 8*w**2. Factor c(a).
-(9*a - 2)**2/2
Let u(j) be the first derivative of 2*j**5 + 8*j**4 + 16*j**3/5 - 64*j**2/5 + 32*j/5 + 1. Factor u(r).
2*(r + 2)**2*(5*r - 2)**2/5
Let j(q) be the second derivative of 0*q**3 - 1/4*q**4 + 0 - 5*q - 3/40*q**5 + 0*q**2. Factor j(x).
-3*x**2*(x + 2)/2
Factor 1/3*z**4 + 1/3*z**5 + 0 - 1/3*z**2 + 0*z - 1/3*z**3.
z**2*(z - 1)*(z + 1)**2/3
Let y(u) be the first derivative of -u**3 + 1/8*u**6 + 9/8*u**4 + 3 + 3/8*u**2 + 0*u - 3/5*u**5. Determine p, given that y(p) = 0.
0, 1
Let a be -5*((-243)/(-45) - 6). Factor 6/11*n - 2/11*n**a + 4/11 + 0*n**2.
-2*(n - 2)*(n + 1)**2/11
Suppose -2/7*c**2 - 4/7*c - 2/7 = 0. What is c?
-1
Factor 6/7*m**2 - 4/7*m + 0*m**3 - 2/7*m**4 + 0.
-2*m*(m - 1)**2*(m + 2)/7
Let h = -260/7 + 787/21. Determine p, given that -1/3*p - h*p**4 - p**3 - p**2 + 0 = 0.
-1, 0
Let r(l) be the third derivative of l**8/560 - l**6/60 + l**4/8 + 2*l**3/3 - 2*l**2. Let q(o) be the first derivative of r(o). Factor q(c).
3*(c - 1)**2*(c + 1)**2
Let g(x) be the first derivative of 12/25*x**5 + 8/5*x**3 + 0*x + 3 + 13/10*x**4 + 4/5*x**2 + 1/15*x**6. Factor g(j).
2*j*(j + 1)**2*(j + 2)**2/5
Determine j so that -23/5*j**3 + 24/5*j**4 + 16/5*j**5 - 2/5*j + 0 - 3*j**2 = 0.
-2, -1/4, 0, 1
Let y(d) be the third derivative of d**6/720 - d**5/180 + d**4/144 - d**2. What is p in y(p) = 0?
0, 1
Let t be (4 + -2)*(2 - 0). Determine n, given that 7*n**3 - 13*n**t + 10*n**2 + 12 - 8 + 11*n**3 - n**4 - 18*n = 0.
-