 g(-2). Find p, given that -2*p**2 + 0*p**2 + 4*p**3 - s*p**3 - 2*p**2 = 0.
0, 2
Factor 0 - 1/2*s + 1/4*s**2 + 1/4*s**3.
s*(s - 1)*(s + 2)/4
Let s = -173/3 - -58. Factor -4/3*h**4 - s*h**2 + 0*h - 5/3*h**3 + 0.
-h**2*(h + 1)*(4*h + 1)/3
Let f(v) be the second derivative of 0*v**4 + 0*v**3 + 0*v**2 + 0 + 1/100*v**5 - 3*v + 1/150*v**6. Solve f(w) = 0.
-1, 0
Let r(c) be the first derivative of -2*c**3/3 - c**2 + 1. Factor r(p).
-2*p*(p + 1)
Let m(z) be the second derivative of -z**7/91 + 11*z**6/195 - 3*z**5/26 + 3*z**4/26 - 2*z**3/39 + 51*z. Find x such that m(x) = 0.
0, 2/3, 1
Suppose -z + 6*z = 15. Let b(x) be the second derivative of -1/210*x**7 - 1/5*x**2 - 3/10*x**z + 0 - 1/25*x**6 - 4/15*x**4 - 7/50*x**5 + 2*x. Factor b(j).
-(j + 1)**4*(j + 2)/5
Let k = -13090/3 - -4210. Let q = -152 - k. Factor q*w**3 + 0 - 10*w**5 + 2/3*w**4 + 0*w + 0*w**2.
-2*w**3*(3*w + 1)*(5*w - 2)/3
Let b = 13 - 9. Let u(q) be the first derivative of 0*q**2 + 0*q**b - 2 - 2/3*q**3 + 2/5*q**5 + 0*q. Factor u(i).
2*i**2*(i - 1)*(i + 1)
Let v(y) = -4*y**2 + 44*y + 72. Let z(u) = -u**2 + 15*u + 24. Let f(d) = 5*v(d) - 16*z(d). Determine l, given that f(l) = 0.
-3, -2
Let b(d) be the first derivative of d**5 - 7*d**4/4 - d**3 + 7*d**2/2 - 2*d + 7. Factor b(s).
(s - 1)**2*(s + 1)*(5*s - 2)
Let f = 49/164 - 2/41. Let y(m) be the first derivative of 1/3*m**3 + 0*m**2 + 2 + f*m**4 + 0*m. Let y(j) = 0. What is j?
-1, 0
Let k(l) be the third derivative of l**10/604800 + l**9/241920 + l**5/20 + l**2. Let j(h) be the third derivative of k(h). Factor j(m).
m**3*(m + 1)/4
Suppose 3*c - 15 - 6 = 0. Factor c*q**2 + q**3 - 4*q**2 + 2*q**3 + 0*q**2.
3*q**2*(q + 1)
Let s(r) be the first derivative of -2*r**6/3 + 16*r**5/5 - 3*r**4 - 16*r**3/3 + 8*r**2 - 21. What is l in s(l) = 0?
-1, 0, 1, 2
Let q(j) be the first derivative of -2*j**6/3 + 8*j**5/5 - j**4 - 5. Determine x so that q(x) = 0.
0, 1
Suppose 5*r = -3*b + 9, 5*r + 3*b = -b + 12. Let y(t) be the first derivative of -1/2*t**3 + r*t + 3/8*t**4 + 1/4*t**2 - 1/10*t**5 + 4. Factor y(m).
-m*(m - 1)**3/2
Let d be (-62)/8 - 3/12. Let w(l) = 2*l**2 + 3*l - 4. Let y(n) = -3*n**2 - 5*n + 6. Let p(m) = d*w(m) - 5*y(m). Determine q, given that p(q) = 0.
-1, 2
Let o(l) = -l - 9. Let z be o(-13). Determine j so that -1/4*j**5 + 0*j**z + 0*j**2 + 0 + 0*j**3 + 0*j = 0.
0
Let j(z) be the first derivative of -1/4*z**2 + z + 1/8*z**4 - 5 - 1/3*z**3. Factor j(q).
(q - 2)*(q - 1)*(q + 1)/2
Let p(s) be the first derivative of 2*s**3/15 - 2*s**2/5 - 16*s/5 + 38. Solve p(y) = 0.
-2, 4
Let f(b) be the first derivative of -4*b**3/3 + 8*b**2 - 28. Let f(u) = 0. Calculate u.
0, 4
Let l(k) be the first derivative of 4*k**5/5 + 8*k**4 + 20*k**3 - 16*k**2 - 64*k + 5. Solve l(z) = 0.
-4, -1, 1
Suppose 2*n = 3*n + 1. Let w(l) = l**3 - 1. Let f(b) = -b**4 - 2. Let z(t) = n*f(t) + 2*w(t). Factor z(u).
u**3*(u + 2)
Suppose 0 = 3*x + x - 8. Let r = x - 1. Determine t so that t**2 + 2*t**2 + r + 3*t - t**3 + 2*t**3 = 0.
-1
Let c(h) = h**3 + 8*h**2 + h + 10. Let o be c(-8). Let k = 2 - o. Let 1/2*q**2 - 1/2*q**4 + 0*q + 0*q**3 + k = 0. Calculate q.
-1, 0, 1
Let o(x) = -5*x**4 + 13*x**2 - 2*x - 12. Let l(p) = -6*p**4 + 12*p**2 - 3*p - 12. Let r(h) = -2*l(h) + 3*o(h). Determine a so that r(a) = 0.
-2, -1, 1, 2
Let s = 249 - 734/3. Factor 4/3 + s*r**2 + 2*r**3 + 4*r + 1/3*r**4.
(r + 1)**2*(r + 2)**2/3
Let p(a) = -a**3 + 12*a**2 + 2. Let g(l) = -2*l + 4. Let b be g(-4). Let t be p(b). Factor -2/7*n**t + 2/7 + 0*n.
-2*(n - 1)*(n + 1)/7
Let o be (-3)/(-9) + (-3)/9. Solve -2/3*r + 0*r**4 + o*r**2 + 4/3*r**3 - 2/3*r**5 + 0 = 0 for r.
-1, 0, 1
Suppose -d**4 + d**2 + 1/3*d**3 - 2/3*d + 0 + 1/3*d**5 = 0. What is d?
-1, 0, 1, 2
Let f(x) be the second derivative of -x**4/60 + 2*x**2/5 + 3*x. Determine g, given that f(g) = 0.
-2, 2
Let c(n) = -n**3 + 15*n**2 + 18*n - 30. Let k be c(16). Factor -t + 0 + 1/2*t**k.
t*(t - 2)/2
Let p = 18/5 + 26/15. Factor 0 - p*h**2 + 4/3*h + 7/3*h**3.
h*(h - 2)*(7*h - 2)/3
Let x be (2/44)/(34/408). Factor -2/11*d**2 - 4/11 - x*d.
-2*(d + 1)*(d + 2)/11
Let k = -4 + 6. Suppose k*n - n = 3. Solve 3*o - 2*o + 3*o**n - 2*o**3 + o**4 - o**2 - 2*o = 0.
-1, 0, 1
Find x such that 9*x - 9*x - 3*x**2 = 0.
0
Let x = -2/267 + 33/445. Let u(t) be the second derivative of -1/6*t**4 - t + 0*t**2 + 1/5*t**5 + 0*t**3 - x*t**6 + 0. Let u(i) = 0. What is i?
0, 1
Find d such that 1/2*d**2 + 0 + 1/2*d = 0.
-1, 0
Let f(j) be the second derivative of -j**8/20160 - j**7/3780 - j**6/2160 + j**4/12 - j. Let a(l) be the third derivative of f(l). Let a(m) = 0. Calculate m.
-1, 0
Let p(g) be the second derivative of g**7/210 - g**6/240 - g**5/120 - 9*g**2/2 - 2*g. Let i(v) be the first derivative of p(v). Factor i(m).
m**2*(m - 1)*(2*m + 1)/2
Let f**2 - 5/3*f - 2/3 = 0. Calculate f.
-1/3, 2
Let i(w) = -5*w**5 + 5*w**4 - 7*w**3 - 5*w**2 + 6*w. Let s(h) = 4*h**5 - 4*h**4 + 6*h**3 + 4*h**2 - 5*h. Let b(m) = 5*i(m) + 6*s(m). Factor b(k).
-k**2*(k - 1)**2*(k + 1)
Let p(j) = 2*j + 26. Let l be p(-11). Let r(x) be the third derivative of 0*x**l - 1/180*x**6 + 3*x**2 + 0*x**3 + 0 + 0*x + 1/90*x**5. Let r(m) = 0. What is m?
0, 1
Suppose -4 - 2 = -2*r. Let n = -1 - -4. Determine w, given that w - w**3 + r*w - n*w = 0.
-1, 0, 1
Let w be (-26)/(-4) + 2/(-4). Suppose 4*p = w*p. Solve 0*r**4 + 4/3*r**2 + p + 2*r**3 + 0*r - 2/3*r**5 = 0 for r.
-1, 0, 2
Let v be (6/(-15))/((-4)/40). Let z(a) be the third derivative of -3*a**2 + 0*a + 3/32*a**v + 0 - 1/12*a**3 + 11/240*a**5. Solve z(w) = 0 for w.
-1, 2/11
Let s(c) be the third derivative of 1/66*c**5 + 8*c**2 + 0*c + 1/44*c**4 + 0 - 2/33*c**3. Let s(w) = 0. Calculate w.
-1, 2/5
Let u = 112 - 110. Factor 0*l + 2/13*l**4 - 2/13*l**3 + 0 + 0*l**u.
2*l**3*(l - 1)/13
Suppose 14/5*b**2 + 0 + 4/5*b = 0. What is b?
-2/7, 0
Let w(o) = -4*o - o + 7 + 0*o + 4*o. Let r be w(7). Factor 0 + r*d - 1/4*d**2.
-d**2/4
Suppose 0 = 2*w - 9 - 5. Let j = 11 - w. Factor -9*q - 4*q**2 - 3 + j*q**3 - 6*q**2 + 1 + 5*q**5 + 12*q**4.
(q - 1)*(q + 1)**3*(5*q + 2)
Let q(x) = -2*x**2 - 4*x - 2. Let k(v) = 2*v**2 + 3*v + 1. Let u(i) = 5*i**3 + 2*i**2 + i. Let p be u(-1). Let l(h) = p*k(h) - 3*q(h). Factor l(b).
-2*(b - 1)*(b + 1)
Let h(w) be the third derivative of 0*w**5 - 2*w**2 + 1/30*w**6 - 1/6*w**4 - 1/105*w**7 + 0*w + 1/3*w**3 + 0. Solve h(t) = 0.
-1, 1
Let x(f) = 3*f**4 - 2*f**3 + 5. Let w = -30 - -25. Let t(a) = -12*a**4 + 9*a**3 - 21. Let s(c) = w*t(c) - 21*x(c). Factor s(m).
-3*m**3*(m + 1)
Let f be -1*(4 - 5) - -1. Let q(x) be the first derivative of -2/15*x**3 + 0*x - 1/20*x**4 - 1/10*x**2 + f. Factor q(v).
-v*(v + 1)**2/5
Determine g so that -4/3*g**4 - 2/3*g**3 + 0 + 0*g + 4/3*g**2 + 2/3*g**5 = 0.
-1, 0, 1, 2
Suppose -5*j + 43 = r + 10, 0 = 3*r + 3*j - 51. What is x in 2*x**5 - 6*x**4 + r - 2*x**2 - 13 + 6*x**3 = 0?
0, 1
Let k(b) = -b - 11. Let r be k(-8). Let a be 1*r*5/(-30). Suppose -9/4*d - d**2 - a = 0. What is d?
-2, -1/4
Let o(p) be the third derivative of -p**8/504 + 2*p**7/315 + p**6/60 - 2*p**5/45 - p**4/9 + 21*p**2. Find q such that o(q) = 0.
-1, 0, 2
Let l(g) be the first derivative of -3*g**5/4 + 2*g**4 + 2*g**3 + 2*g + 2. Let k(x) be the first derivative of l(x). Factor k(b).
-3*b*(b - 2)*(5*b + 2)
Factor 2/9*z - 1/3*z**2 + 1/9*z**3 + 0.
z*(z - 2)*(z - 1)/9
Let g = -38 + 42. Let q(u) be the second derivative of 1/40*u**5 + 0 + 2*u + 0*u**g - 1/12*u**3 + 0*u**2. Factor q(v).
v*(v - 1)*(v + 1)/2
Let a(s) = -2*s**4 + 30*s**3 - 42*s**2 - 23*s + 63. Let v(g) = 5*g**4 - 60*g**3 + 85*g**2 + 45*g - 125. Let m(y) = -5*a(y) - 3*v(y). Factor m(q).
-5*(q - 3)*(q - 2)**2*(q + 1)
Suppose 265*v = 261*v. Factor 3/7*n**2 + v - 1/7*n**4 - 2/7*n + 0*n**3.
-n*(n - 1)**2*(n + 2)/7
Factor 355*x**3 + 26*x + 3060 + 279*x**4 + 22*x + 81*x**5 + 201*x**2 - 3056.
(x + 1)**3*(9*x + 2)**2
Let z(r) be the first derivative of 0*r + 4 - 3/10*r**2 + 3/4*r**4 + 9/25*r**5 + 1/5*r**3. Determine g, given that z(g) = 0.
-1, 0, 1/3
Suppose -9*z = -5*z. Suppose z = 7*l - 2*l. Find v, given that 0*v + l*v**2 + 0 - 4/13*v**3 + 2/13*v**4 = 0.
0, 2
Let g(u) be the third derivative of u**8/168 - 2*u**7/35 + 2*u**6/15 + u**5/15 - 3*u**4/4 + 4*u**3/3 - 24*u**2. Factor g(x).
2*(x - 4)*(x - 1)**3*(x + 1)
Let r(j) be the second derivative of 0 - 1/4*j**2 + j - 1/24*j**3 + 1/48*j**4. Let r(u) = 0