in o(n) = 0?
-2, -1
Let v(p) be the second derivative of p**7/63 - p**6/15 - p**5/30 + 11*p**4/18 - 4*p**3/3 + 4*p**2/3 + 3*p + 17. Find m such that v(m) = 0.
-2, 1, 2
Let o(a) be the third derivative of -1/144*a**4 + 1/720*a**6 + a**2 + 0*a + 0*a**3 + 0 + 0*a**5. Let o(v) = 0. What is v?
-1, 0, 1
Let j be -5*(-2 - (-11)/5)*-2. Let u(s) be the first derivative of -2 + 2/15*s**5 + 2/3*s**3 + 1/3*s**j + 1/2*s**4 + 0*s. Factor u(t).
2*t*(t + 1)**3/3
Let b(p) be the first derivative of p**4/20 - p**3/5 - 9*p**2/10 - p + 15. Determine r, given that b(r) = 0.
-1, 5
Let h be (-1)/7 + (-56)/(-49). Let p(m) = m**5 - m**4 + m**3 - m**2 + m. Let q(i) = -6*i**5 + 6*i**2 - 3*i. Let z(l) = h*q(l) + 3*p(l). Factor z(v).
-3*v**2*(v - 1)*(v + 1)**2
Let n(m) be the second derivative of -10*m**6/9 - 6*m**5 - 56*m**4/9 + 20*m**3 + 54*m**2 - 2*m + 45. Let n(g) = 0. What is g?
-9/5, -1, 1
Let b(l) be the first derivative of -15*l**4/8 + 11*l**3 - 21*l**2 + 12*l + 8. Factor b(y).
-3*(y - 2)**2*(5*y - 2)/2
Let o be ((-12)/10)/((54/(-20))/3). Let -o - 2/3*j**2 - 2*j = 0. Calculate j.
-2, -1
Let h(d) be the first derivative of -d**8/560 + 4*d**3/3 + 2. Let u(q) be the third derivative of h(q). Determine z, given that u(z) = 0.
0
Let l(y) be the third derivative of y**10/7560 + y**9/1512 + y**8/840 + y**7/1260 + y**4/8 - 3*y**2. Let x(w) be the second derivative of l(w). Factor x(c).
2*c**2*(c + 1)**2*(2*c + 1)
Let w(n) be the first derivative of -n**4/4 + 2*n**2 + 40. Factor w(k).
-k*(k - 2)*(k + 2)
Let k = -2 - -7. Let b(o) = -o**4 - 25*o**3 + 25*o**2 + o - 7. Let y(z) = -z**4 - 17*z**3 + 17*z**2 + z - 5. Let f(d) = k*b(d) - 7*y(d). Factor f(g).
2*g*(g - 1)**3
Let g be 16/6 - 2/3. Factor 28 - 12 + 25*n**4 + 21*n**2 + 56*n + 3*n**g - 80*n**3 + 8*n.
(n - 2)**2*(5*n + 2)**2
Suppose -3*v - 3*f + 4*f + 170 = 0, 0 = 5*f + 10. Factor -12*m**2 + v - 52 - 2*m + 10*m.
-4*(m - 1)*(3*m + 1)
Let 2*n**5 - 16*n**4 + 0*n**4 - 12*n + 2*n**5 + 16*n**2 + 8*n**3 = 0. What is n?
-1, 0, 1, 3
Let p = 31 + -16. Let y = p + -12. Suppose 2/5*u**2 + 0*u + 0*u**y - 2/5*u**4 + 0 = 0. Calculate u.
-1, 0, 1
Let o(t) = 28*t**2 + 32*t + 12. Let c(n) = -27*n**2 - 31*n - 10. Let b(d) = 4*c(d) + 3*o(d). Find l such that b(l) = 0.
-1, -1/6
Let a(v) be the third derivative of 0*v + 4*v**2 - 1/40*v**4 + 0 + 1/50*v**5 + 0*v**3 - 1/200*v**6. Factor a(g).
-3*g*(g - 1)**2/5
Let i(z) be the second derivative of z**7/14 - z**6/3 + 9*z**5/20 - z**4/6 + 8*z. Find h such that i(h) = 0.
0, 1/3, 1, 2
Suppose -2*n - 1 + 5 = 0. Solve 5*j**2 - 5*j**4 + 3*j**4 - 5*j**n = 0.
0
Let s(l) = 3*l - 19. Let b(y) = y - 6. Let w(x) = 11*b(x) - 4*s(x). Let c be w(8). Let -3 + 2*g + 0 + c - g**2 = 0. What is g?
1
Let s(o) be the third derivative of -o**10/7560 + o**9/1260 - o**8/840 - 7*o**4/24 - 8*o**2. Let w(a) be the second derivative of s(a). Factor w(h).
-4*h**3*(h - 2)*(h - 1)
Let c(l) be the first derivative of 0*l**2 - 1/180*l**6 + 1/15*l**5 - 1/3*l**4 + 0*l - 2/3*l**3 - 1. Let k(y) be the third derivative of c(y). Factor k(b).
-2*(b - 2)**2
Let l = 26 - 23. Let p(h) be the first derivative of 0*h**2 + 2 - 1/6*h**4 + 4/9*h**l + 0*h. Determine v, given that p(v) = 0.
0, 2
Suppose 2*y = 1 + 7. Determine z so that 9*z**2 - 6*z**3 + 12 - 7*z**3 + 24*z + 11*z**3 - 4*z**3 - 3*z**y = 0.
-2, -1, 2
Let h(i) be the third derivative of -i**5/210 + i**4/84 + 2*i**3/21 - 4*i**2. Let h(a) = 0. Calculate a.
-1, 2
Let r(g) be the third derivative of -g**7/210 + g**5/10 - g**4/3 - g**3/3 - 8*g**2. Let m(z) be the first derivative of r(z). Factor m(l).
-4*(l - 1)**2*(l + 2)
Find f such that 32/3*f**2 - 10/3*f - 2*f**3 + 0 = 0.
0, 1/3, 5
Let g = -1312/9 + 146. Suppose -4/9 - 2/9*b + g*b**2 = 0. Calculate b.
-1, 2
Let g(m) be the third derivative of 1/16*m**4 + 0 - 1/2*m**3 + 0*m - 4*m**2 - 1/80*m**6 + 1/20*m**5. Factor g(x).
-3*(x - 2)*(x - 1)*(x + 1)/2
Let m be 2/(1 - 3)*-6. Let g(d) be the third derivative of 2*d**2 - 1/100*d**m - 1/60*d**4 - 1/50*d**5 + 0 - 1/525*d**7 + 0*d**3 + 0*d. Factor g(n).
-2*n*(n + 1)**3/5
Let k(o) be the second derivative of -o**5/170 + o**4/34 - 4*o**2/17 - o. Factor k(f).
-2*(f - 2)**2*(f + 1)/17
Factor 2/7 + 2/7*w**2 - 4/7*w.
2*(w - 1)**2/7
Let -2/5*a**2 + 1/5 - 1/5*a + 2/5*a**3 - 1/5*a**5 + 1/5*a**4 = 0. Calculate a.
-1, 1
Let f(q) be the first derivative of 3*q**5/10 - q**4/6 - q**3 + q**2 - 3*q + 1. Let j(g) be the first derivative of f(g). Let j(s) = 0. Calculate s.
-1, 1/3, 1
Let g(h) = 3*h - 2. Let j be g(2). Suppose j*i = 5*w + 6, 5*w + 0 - 14 = -i. Factor i*f**4 + 12*f**3 - 11*f**3 - f**2 - 3*f**4 - f**5.
-f**2*(f - 1)**2*(f + 1)
Let u be (6/(-4) - 25/(-10)) + 2. Factor 2*c**u + 3/4*c**4 - 3/4*c**2 - 3*c + 1.
(c - 1)*(c + 2)**2*(3*c - 1)/4
Let s = 3/35 + 29/70. What is q in 0*q + s*q**2 - 1/2 = 0?
-1, 1
Let z be 8/(-10)*4/(-2). Let r be ((-1)/2)/(((-60)/32)/3). Factor 8/5*l + 6/5*l**2 - 2/5*l**4 - r*l**3 - z.
-2*(l - 1)**2*(l + 2)**2/5
Suppose -14*v + 20 = -9*v. Let -6*r + 0 + 3/4*r**v + 9*r**2 - 9/2*r**3 = 0. What is r?
0, 2
Let f(o) = 14*o**2 + 11*o. Let u be (7 - 1)/(-3) - 4. Let t = 2 + u. Let p(m) = 5*m**2 + 4*m. Let j(x) = t*f(x) + 11*p(x). Factor j(d).
-d**2
Factor 1/2*t**2 + 3/2*t + 0.
t*(t + 3)/2
What is k in 0 - 2/7*k**3 + 2/7*k**5 + 0*k + 0*k**4 + 0*k**2 = 0?
-1, 0, 1
Let u(t) be the first derivative of 1 - 3/2*t**3 + 3/2*t**2 + 0*t + 3/8*t**4. Let u(o) = 0. What is o?
0, 1, 2
Let x = 1042/1315 + 2/263. Solve 2/5*o**2 + 0 + x*o = 0 for o.
-2, 0
Let x(f) be the first derivative of f**4/14 + 2*f**3/7 + 6. Factor x(y).
2*y**2*(y + 3)/7
Let r(v) be the third derivative of 0 + 0*v - 1/4*v**4 - 1/20*v**5 + 0*v**3 + 1/40*v**6 - 4*v**2. Factor r(c).
3*c*(c - 2)*(c + 1)
Let y(v) be the second derivative of 1/15*v**6 + 1/2*v**4 + 3/10*v**5 + 1/3*v**3 - 3*v + 0 + 0*v**2. Suppose y(u) = 0. What is u?
-1, 0
Let t be (-90)/(-14) + 4 + -10. Factor 3/7 - 3/7*q + t*q**3 - 3/7*q**2.
3*(q - 1)**2*(q + 1)/7
Let r(f) be the second derivative of f**8/3360 + f**7/1260 - f**6/360 - f**5/60 + f**4/12 - 3*f. Let v(t) be the third derivative of r(t). Factor v(z).
2*(z - 1)*(z + 1)**2
Let g(m) = m**3 + 6*m**2 + m + 9. Let t be g(-6). Suppose 6 - 8/3*i**t - 4/3*i**2 + 2/3*i**4 + 8*i = 0. What is i?
-1, 3
Let n(c) = -c**2 + 3*c + 4. Let t be n(3). Let l(j) = -j**2 - 4*j. Let r be l(-3). Factor -3*x**2 - 6*x + 2*x + r - t.
-(x + 1)*(3*x + 1)
Let y be ((-3)/8)/((-6)/24). Let l(d) be the second derivative of -2*d**4 - y*d**3 + 0 - 1/2*d**2 - 4/5*d**5 - 2*d. Determine x, given that l(x) = 0.
-1, -1/4
Let p = 14 - 12. Let s be (-22)/(-6) - 4/6. Suppose -3 - d**3 + 2*d**p + s - d = 0. Calculate d.
0, 1
Let b be 50/10 + (-75)/9 - -4. Factor 0*r**2 - 2/9*r**3 + b*r + 4/9.
-2*(r - 2)*(r + 1)**2/9
Let u = 4 + -2. Determine m so that -7*m + 21*m**3 + 36*m**u - 5*m + 0*m**2 = 0.
-2, 0, 2/7
Let h(k) be the first derivative of -k**6/4 + 3*k**4/8 + 39. Factor h(x).
-3*x**3*(x - 1)*(x + 1)/2
Let b = -1 + 2. Suppose 4*m**2 + 2*m**5 + 1 - 4*m**4 - 2*m - b = 0. What is m?
-1, 0, 1
Let u(m) = -m**3 + 4*m + 4. Let b be u(-2). Let s(p) be the third derivative of 0*p + 0 - p**2 - 1/9*p**3 - 1/90*p**5 - 1/18*p**b. Determine l so that s(l) = 0.
-1
Suppose -1/2 - 3/4*q - 1/4*q**2 = 0. What is q?
-2, -1
Let q = -36 + 116/3. Let u = -15 + 17. Suppose q + 8/3*d + 2/3*d**u = 0. What is d?
-2
Let x(h) = h**4 - h**3 - h - 1. Let u(y) = -20*y**4 + 22*y**3 - 12*y**2 + 38*y + 16. Let l(s) = -2*u(s) - 44*x(s). Factor l(c).
-4*(c - 1)**3*(c + 3)
Let v(r) be the second derivative of -9/50*r**5 + 0 - 1/105*r**7 - 7/30*r**4 - 2/15*r**3 - 2*r - 1/15*r**6 + 0*r**2. Determine c, given that v(c) = 0.
-2, -1, 0
Let g = 143 + -141. What is x in -4/11*x - 6/11 + 2/11*x**g = 0?
-1, 3
Let y(c) be the second derivative of 0 + 3/14*c**4 + 3*c + 1/7*c**2 - 2/7*c**3. Factor y(k).
2*(3*k - 1)**2/7
Let a(m) = -4*m**2 - m + 8. Let f(r) = 4*r**2 + 2*r - 8. Let h(x) = 2*a(x) + 3*f(x). Let h(b) = 0. Calculate b.
-2, 1
Let 8 - 4*r**3 + 86*r**4 + 71*r**2 + 80*r + 207*r**2 + 168*r**4 + 56*r**5 + 408*r**3 = 0. Calculate r.
-2, -1, -2/7, -1/4
Factor -3993/5 - 99/5*p**2 - 1089/5*p - 3/5*p**3.
-3*(p + 11)**3/5
Let q(t) be the second derivative of 7*t - 13/24*t**4 - 1/3*t**3 + t**2 - 1/8*t**5 + 0. Factor q(c).
-(c + 1)*(c + 2)*(5*c - 2)/2
Let s(d) be the third derivative of -d**5/30