iven that -8/3 + 0*x + 2/3*x**2 = 0.
-2, 2
Let u be (1 - 1)/((-10)/5). Let l be (-1 - 0)*u*-1. Factor l*n + 6*n**2 + 0*n - 2 + 0*n + 4*n.
2*(n + 1)*(3*n - 1)
Suppose -2*o - 30 = 3*v, 7*o - 3*o + 3*v + 66 = 0. Let s = -12 - o. Factor -s*g + 3*g + 1 + 0 + g + g**2.
(g - 1)**2
Let l(u) = -7*u**5 + 3*u**4 - 8*u**3 - 8*u**2 + 9*u - 7. Let o(s) = 15*s**5 - 6*s**4 + 17*s**3 + 17*s**2 - 19*s + 15. Let i(a) = -13*l(a) - 6*o(a). Factor i(m).
(m - 1)**4*(m + 1)
Determine c, given that -1/5*c**3 - 3/5*c**2 - 3/5*c - 1/5 = 0.
-1
Suppose 0 = 4*c + c - 10. Factor -w**c - 2*w**5 - 3*w**4 + w**5 + w**3 - 4*w**3.
-w**2*(w + 1)**3
Factor -9 - 54*j - 6*j + 42 - 4*j**3 - 36*j**2 + 67.
-4*(j - 1)*(j + 5)**2
Let b(d) be the second derivative of -d**6/12 + 3*d**5/4 - 65*d**4/24 + 5*d**3 - 5*d**2 - 18*d. Factor b(c).
-5*(c - 2)**2*(c - 1)**2/2
Let m be ((-18)/(-15))/((-9)/(-30)). Factor 10/3*s**5 + 44/3*s**3 + 4/3 - 16/3*s**2 - 2*s - 12*s**m.
2*(s - 1)**4*(5*s + 2)/3
Let f(q) be the first derivative of 5*q**4/2 + 5*q**3/3 - 5*q**2/2 - 5. What is x in f(x) = 0?
-1, 0, 1/2
Let d(q) be the first derivative of 35*q**6/3 + 202*q**5/5 + 89*q**4/2 + 22*q**3/3 - 16*q**2 - 8*q + 7. Solve d(a) = 0 for a.
-1, -2/7, 2/5
Let g(p) = -p - 2. Let w(m) = -2*m**5 + m**4 + 7*m**3 + m**2 - 6*m - 4. Let u(z) = -3*g(z) + 3*w(z). Suppose u(t) = 0. Calculate t.
-1, -1/2, 1, 2
Factor 8/3*x + 2/9*x**3 - 4/3*x**2 - 16/9.
2*(x - 2)**3/9
Let d(n) be the second derivative of -n + 0*n**2 + 1/24*n**4 + 0*n**3 - 1/40*n**5 + 0. Factor d(m).
-m**2*(m - 1)/2
Suppose -5*c - 2*f + 4 = 0, -4*c + f - 6 = -17. Suppose -4*n + 2 = -6. Factor -1 + n*o**c + 3/2*o**3 - 5/2*o.
(o - 1)*(o + 2)*(3*o + 1)/2
Let w = -6 + 6. Suppose -2*n + h + 3 = w, -n = -2*h - 0*h. Factor -1 + 49/4*a**4 + 7*a - 7*a**3 - 45/4*a**n.
(a - 1)*(a + 1)*(7*a - 2)**2/4
Let v = -51/2 - -26. Let i(l) be the first derivative of 0*l + 0*l**3 - 2 - l**2 + v*l**4. Factor i(d).
2*d*(d - 1)*(d + 1)
Let w(p) = 2*p - 4. Let h be w(3). Let j = h - 0. Suppose -2*b**2 + 4*b**2 + b**j + 4*b + b**2 + b**3 = 0. Calculate b.
-2, 0
Let v(h) = -h**3 + 7*h**2 + 8*h + 2. Let l be v(8). Let 4*d**l - 6 - d**5 + 4*d**3 - 2*d**4 - d**5 + 1 + 3 - 2*d = 0. Calculate d.
-1, 1
Let q(m) = -m**4 - 6*m**3 + 3*m**2 - 7*m. Let z(o) = -o**3 + o**2 - o. Let h = -37 + 59. Let k(i) = h*z(i) - 2*q(i). Factor k(x).
2*x*(x - 2)**2*(x - 1)
Let u(z) be the third derivative of 3/35*z**7 + 0 + 1/6*z**4 + 0*z**3 + 4*z**2 - 1/24*z**8 - 3/10*z**5 + 0*z + 1/12*z**6. Determine w, given that u(w) = 0.
-1, 0, 2/7, 1
Suppose 0*b + 6 = -2*b. Let x = 7 + b. Factor -1/2*j - 1/4*j**x + 1/4 + 1/2*j**3 + 0*j**2.
-(j - 1)**3*(j + 1)/4
Let a(y) be the first derivative of 0*y**5 - 3 + 0*y + 0*y**4 + 0*y**2 - 2/3*y**3 + 1/720*y**6. Let m(p) be the third derivative of a(p). Factor m(q).
q**2/2
Factor -27*q**2 - 1 + 24*q**2 + 1 + 3*q**3.
3*q**2*(q - 1)
Let j(m) be the second derivative of 0 + m + 0*m**3 - 1/4*m**2 + 1/24*m**4. Factor j(u).
(u - 1)*(u + 1)/2
Let b(s) be the second derivative of -s**5/5 - 14*s**4/3 - 98*s**3/3 + 6*s - 2. Let b(k) = 0. What is k?
-7, 0
Factor -3*z**3 + 5*z + 0*z - 5*z.
-3*z**3
Let v be 4/10 - (-162)/4095. Let f = -2/13 + v. Suppose -2/7*k + f*k**3 - 2/7 + 2/7*k**2 = 0. Calculate k.
-1, 1
Let d(a) = -10*a**2 - 8*a + 18. Let z(q) = -11*q**2 - 8*q + 19. Let p(w) = -7*d(w) + 6*z(w). Factor p(b).
4*(b - 1)*(b + 3)
Let z be (-24)/(-30)*4/480. Let n(s) be the third derivative of 0 - 1/60*s**4 - 2*s**2 - 1/525*s**7 + 0*s + z*s**5 + 1/300*s**6 + 0*s**3. Factor n(c).
-2*c*(c - 1)**2*(c + 1)/5
Let q(y) be the second derivative of 3*y**5/100 + y**4/20 - y**3/5 + 12*y. Factor q(m).
3*m*(m - 1)*(m + 2)/5
What is s in -1/3 + 5/3*s**2 + 4/3*s**5 - 5/3*s**3 - 4/3*s**4 + 1/3*s = 0?
-1, -1/2, 1/2, 1
Let v(u) be the third derivative of -u**6/40 - u**5/20 + 2*u**2. Determine n so that v(n) = 0.
-1, 0
Let q(b) be the third derivative of b**8/216 - 16*b**7/945 + 11*b**6/540 - b**5/135 + 6*b**2. Factor q(h).
2*h**2*(h - 1)**2*(7*h - 2)/9
Let t be (-10)/75*(3 + -13). Determine c, given that t*c**2 - 2/3 - 2/3*c**4 + 0*c**3 + 0*c = 0.
-1, 1
Let w(i) = 2*i**3 + 8*i**2 - 2*i - 4. Let x = 9 - 5. Let m(v) = 3*v**3 + 9*v**2 - 2*v - 5. Let o(u) = x*m(u) - 5*w(u). Factor o(b).
2*b*(b - 1)**2
Factor 2*w**4 + w**4 + 3 - 3*w**5 - 3.
-3*w**4*(w - 1)
Let u(n) be the third derivative of 0*n**3 - 1/60*n**6 + 1/12*n**4 + 1/20*n**5 + 3*n**2 + 0*n + 0 - 1/70*n**7. Factor u(l).
-l*(l - 1)*(l + 1)*(3*l + 2)
Let u(m) = m**2. Let i(x) = 3*x**2 + 72*x + 20. Let f(t) = -i(t) - 4*u(t). Suppose f(d) = 0. Calculate d.
-10, -2/7
Let a(p) = 4*p**2 - 6. Let b(r) = 4*r**2 - 7. Let t(n) = 3*a(n) - 2*b(n). Suppose t(j) = 0. What is j?
-1, 1
Let h(b) = -b**4 + b**3 - b - 1. Let r(u) = 3*u**4 - 2*u**3 + 3*u**2 + 4*u + 4. Let x(d) = -4*h(d) - r(d). Suppose x(o) = 0. Calculate o.
-1, 0, 3
Let l(q) = -3*q - 1. Suppose -2*t + 4*v - 7 = 3, 0 = t + v - 1. Let f be l(t). Factor 1 + 1 - z**2 - z + 2*z**f + 4*z.
(z + 1)*(z + 2)
Let z(d) be the second derivative of d**9/3024 + d**8/840 + d**7/840 - 2*d**3/3 - 2*d. Let l(w) be the second derivative of z(w). Factor l(i).
i**3*(i + 1)**2
Let b(d) = 2*d**3 - 17*d**2 + 2*d. Let c(h) = -h**3 + 16*h**2 - h. Let i(m) = -6*b(m) - 7*c(m). What is z in i(z) = 0?
-1, 0
Let z(c) be the first derivative of -2 + 1/8*c**2 + 0*c + 1/4*c**3 + 1/8*c**4. Factor z(i).
i*(i + 1)*(2*i + 1)/4
Factor 21*t - 19*t - 4*t**3 + 2*t**3.
-2*t*(t - 1)*(t + 1)
Let v(p) = -2*p - 3. Let s be v(-3). Find u such that 6*u**3 - 2 + 8*u + 12*u**2 + 2*u**s + 4 + 2*u**4 = 0.
-1
Solve -16/9*n - 32/9 - 2/9*n**2 = 0 for n.
-4
Let c(n) be the first derivative of 4*n**5/5 + 14*n**4 + 44*n**3 - 224*n**2 + 256*n + 23. Factor c(i).
4*(i - 1)**2*(i + 8)**2
Let h = 4583 + -238309/52. Let k = h - -3/26. Suppose -1/4*w**4 - 1/4*w**3 + 1/4*w + 0 + k*w**2 = 0. Calculate w.
-1, 0, 1
Let u(c) = 3*c**3 - 8*c**2 - 11*c. Suppose -2*q + 3 = -5. Let m = q - 8. Let d(a) = -a**3 + 3*a**2 + 4*a. Let b(l) = m*u(l) - 11*d(l). Factor b(k).
-k**2*(k + 1)
Let h = -16 + 23. Let y = h - 5. Factor 0 - 2/7*v + 2/7*v**3 + 0*v**y.
2*v*(v - 1)*(v + 1)/7
Let o(u) be the second derivative of -1/108*u**4 - 1/18*u**2 + 1/27*u**3 - 7*u + 0. Factor o(r).
-(r - 1)**2/9
Suppose 87*y**5 + 12*y - 91*y**5 - 6*y**2 + 38*y**2 + 24*y**3 = 0. Calculate y.
-1, 0, 3
Let 4/3 - 2*o + 2/3*o**2 = 0. What is o?
1, 2
Let o(u) be the first derivative of -u**4/16 - u**3/6 + u**2/8 + u/2 + 20. Factor o(a).
-(a - 1)*(a + 1)*(a + 2)/4
Let f(r) be the third derivative of -5*r**8/336 - 4*r**7/21 - 25*r**6/24 - 19*r**5/6 - 35*r**4/6 - 20*r**3/3 + 55*r**2. Find g, given that f(g) = 0.
-2, -1
Let t be 237/(-395)*(-5)/(10/12). Find p such that -t - 2/5*p**2 - 12/5*p = 0.
-3
Let w(m) = -5*m**3 - 4*m**2 - 2*m + 3. Suppose -4*v = -5*v - 3. Let u(i) = -i**3 + 1. Let n(a) = v*u(a) + w(a). Let n(k) = 0. What is k?
-1, 0
Let t(h) = -5*h - 2. Let q be t(-1). Let w + 3*w + 2*w - 2 - 2 - 2*w**q = 0. Calculate w.
-2, 1
Factor -6*x - 51/4*x**4 - 3*x**5 - 3/4 - 33/2*x**2 - 21*x**3.
-3*(x + 1)**4*(4*x + 1)/4
Let h be (-7)/14 - 11/(-6). Factor 2*b + 2/3*b**2 + h.
2*(b + 1)*(b + 2)/3
Let h(z) = -z**5 - z**4 - z**2 - z - 1. Let p(q) = -6*q**3 - 9*q**2. Let o(s) = -3*h(s) + p(s). Find t such that o(t) = 0.
-1, 1
Let k(w) be the second derivative of -w**5/10 - w**4/6 + w**3/3 + w**2 - 6*w. Factor k(t).
-2*(t - 1)*(t + 1)**2
Let o be 8/((-24)/(-9)) - 3. Factor o + 1/2*q + 1/2*q**2.
q*(q + 1)/2
Let o(x) = 196*x**3 - 280*x**2 - 211*x - 32. Let s(z) = 588*z**3 - 840*z**2 - 634*z - 96. Let i(a) = 10*o(a) - 3*s(a). Factor i(n).
4*(n - 2)*(7*n + 2)**2
Let u be 84/49 - 2/(-7). Let w be ((-24)/(-16))/(u/4). Factor -1/3*n**4 - 1/3*n**w + 1/3*n + 1/3*n**2 + 0.
-n*(n - 1)*(n + 1)**2/3
Solve 0*i + 0 - 3/2*i**4 + 3/2*i**2 - 3/4*i**5 + 3/4*i**3 = 0.
-2, -1, 0, 1
Let o(d) be the first derivative of d**6/3 - 2*d**5/5 - 3*d**4 + 28*d**3/3 - 11*d**2 + 6*d + 3. Solve o(z) = 0.
-3, 1
Let o(z) be the first derivative of 5*z**3/3 - 5*z**2 + 15. Determine v, given that o(v) = 0.
0, 2
Let a = 8 + -5. Factor s**a - 2*s**3 + s**5 + 2*s**4 + 0*s**2 - 2*s**2 + 0*s**3.
s**2*(s - 1)*(s + 1)*(s + 2)
Find g such that 0*g + 1/2*g**5 + 3*g**4 + 9/2*g**3 + 0 + 0*g**2 = 0.
-3, 0
Let z(n) be the first derivative of n**6/90 - n**4/36 - 4*n - 2. Let m(v) be