 9/2*k**4 + 3/8*k**2 + 9/4*k**o + 0*k + 12/5*k**5 + 5. Find p, given that g(p) = 0.
-1, -1/4, 0
Let k(i) be the first derivative of -3*i**5/10 + 3*i**3/2 + 3*i**2/2 - 6. Factor k(m).
-3*m*(m - 2)*(m + 1)**2/2
Let m(k) be the second derivative of 3*k + 0*k**3 + 1/12*k**4 - 1/2*k**2 + 0. Factor m(h).
(h - 1)*(h + 1)
Let z(o) = -2*o**2 - 2*o - 4. Let x(d) = -1. Let j(b) = -4*x(b) + z(b). Factor j(u).
-2*u*(u + 1)
Let 0*a + 2/7*a**3 + 16/7*a**2 + 0 = 0. Calculate a.
-8, 0
Let h(z) be the second derivative of -3/10*z**6 - 3/10*z**5 + 3/2*z**3 + 0 + z + 3/2*z**2 - 1/14*z**7 + 1/2*z**4. Find k such that h(k) = 0.
-1, 1
Let m(a) be the second derivative of -a**5/20 + a**4/6 + a**3/6 - a**2 + 4*a. Suppose m(w) = 0. Calculate w.
-1, 1, 2
Let v(x) = 6*x**4 + x**3 - 2*x**2 + 5*x + 5. Let r(h) = -7*h**4 - h**3 + 2*h**2 - 6*h - 6. Let d(l) = 5*r(l) + 6*v(l). Factor d(c).
c**2*(c - 1)*(c + 2)
Let p be 80/6*(0 + (-144)/(-300)). Factor 18/5 + 48/5*m + p*m**2.
2*(4*m + 3)**2/5
Let j = 764 + -5339/7. Determine m so that 0*m**2 + 3/7*m**4 + j*m**3 - 12/7*m + 0 = 0.
-2, 0, 1
Let p(m) be the second derivative of -m**6/300 + m**4/40 + m**3/30 + 2*m. Factor p(z).
-z*(z - 2)*(z + 1)**2/10
Factor 0*i + 0*i**3 + 3/2*i**4 - 3*i**2 + 3/2.
3*(i - 1)**2*(i + 1)**2/2
Let x = 115 - 110. Let q(b) be the first derivative of 0*b**4 + 0*b + 0*b**3 + 3/5*b**x + 0*b**2 + 2. Factor q(r).
3*r**4
Let a(m) = m - 2. Suppose 0 = 2*k - k - 3, 3 = -3*g + 3*k. Let z be a(g). Suppose -w**4 - w**2 + 1/4*w**5 + 3/2*w**3 + 1/4*w + z = 0. What is w?
0, 1
Let g(j) be the third derivative of j**5/20 + j**4/4 + 7*j**2. Factor g(v).
3*v*(v + 2)
Factor -75/4*g**2 - 9*g + 3 - 27/4*g**3.
-3*(g + 1)*(g + 2)*(9*g - 2)/4
Let b = -6 + 9. Suppose -b*w - 35 = -8*w. Factor 2*c**2 - 6*c + w - 5 + 2.
2*(c - 2)*(c - 1)
Let h(j) = -4*j**2 + 116*j - 90. Let n(l) = -l**2 + 23*l - 18. Let q(m) = -2*h(m) + 11*n(m). Factor q(r).
-3*(r - 6)*(r - 1)
Let r(l) be the third derivative of -l**8/42 + 2*l**7/35 + l**6/30 - l**5/5 + l**4/6 - 9*l**2. What is q in r(q) = 0?
-1, 0, 1/2, 1
Let k(y) be the second derivative of -y**8/5040 + y**6/1080 - y**3/3 - 2*y. Let i(l) be the second derivative of k(l). What is b in i(b) = 0?
-1, 0, 1
Suppose 0 = -p - y + 20, -4*p + y = -2*y - 59. Suppose z + 10 = -4*l, 4*z - p = 2*l + l. Factor 0 + 0*w + 2/3*w**z.
2*w**2/3
Let d(j) = -j**3 + j**2 - j + 1. Let l = 6 + -4. Let a(p) = 0*p + 5*p + 2*p**l + 7*p + 12*p**3 - 8*p**2 - 10. Let s(n) = -a(n) - 10*d(n). Factor s(z).
-2*z*(z + 1)**2
Let k = -1111/51 + 138/17. Let n = k - -14. Factor 0 - 2/3*j**2 + n*j**3 + 1/3*j.
j*(j - 1)**2/3
Let b(m) be the third derivative of m**8/84 - 2*m**6/15 - 2*m**5/15 + m**4/2 + 4*m**3/3 + 8*m**2 + 2. Factor b(l).
4*(l - 2)*(l - 1)*(l + 1)**3
Let i be (2 - 47/24)/(2/4). Let o(y) be the third derivative of 0 - 1/6*y**3 - 1/60*y**5 - i*y**4 - 2*y**2 + 0*y. Factor o(g).
-(g + 1)**2
Suppose -5*c + 3 - 5 - c**2 - 2 = 0. What is c?
-4, -1
Factor -4/7 - 1/7*w**3 + 3/7*w**2 + 0*w.
-(w - 2)**2*(w + 1)/7
Factor 2*t**2 - t**4 + 2*t**5 - 4*t**2 - 2*t**3 + 3*t**4.
2*t**2*(t - 1)*(t + 1)**2
Let j(g) be the second derivative of -g**9/7560 - g**8/8400 + g**7/4200 - g**3/3 - 3*g. Let l(t) be the second derivative of j(t). Factor l(s).
-s**3*(s + 1)*(2*s - 1)/5
Suppose -2*w + 4 = -0. Let p(a) be the first derivative of -1/9*a**3 + 0*a + 0*a**w + 2 - 1/12*a**4. Factor p(q).
-q**2*(q + 1)/3
Let o(n) be the second derivative of -3*n**5/20 - n**4/18 - 17*n. Find z, given that o(z) = 0.
-2/9, 0
Factor -5*i - 4 - 3*i**4 + i**3 + 2 + 4*i**4 - 3*i**2.
(i - 2)*(i + 1)**3
Let w(i) be the first derivative of 1/5*i**5 + 1/2*i**4 + 0*i**2 + 1/3*i**3 + 0*i - 5. Suppose w(d) = 0. What is d?
-1, 0
Let a(r) be the second derivative of 1/135*r**6 + r - 1/189*r**7 + 0*r**4 + 0*r**3 + 0*r**2 + 0 + 0*r**5. Solve a(p) = 0 for p.
0, 1
Let a be 13 + 2 + -1 + 1. Suppose 0 = -l - 4*l + a. What is s in -2*s**2 + l + s**2 - 2 = 0?
-1, 1
Let y(w) = w**2 + 10*w. Let z be y(-10). Suppose -4*d - d - 4*c + 32 = 0, -d = -2*c + 2. Let 1/2*k**3 + 1/4*k + z - k**d + k**2 - 3/4*k**5 = 0. Calculate k.
-1, -1/3, 0, 1
Let m be (-22)/(-6) - (-5)/15. Factor 3*s**2 + m*s**2 - s - 6*s**2.
s*(s - 1)
Let r(i) be the second derivative of -i**4/12 - 5*i**3/6 + 7*i**2/2 - i. Let w be r(-6). Factor w - 8*u**2 + 0 + 14*u - 8*u**3 - 2 - 3.
-2*(u + 2)*(2*u - 1)**2
Let t = -126 + 126. Let u(z) be the third derivative of 1/1512*z**8 - 1/540*z**6 + t + 0*z + 0*z**7 + 0*z**4 + 0*z**5 + 0*z**3 + 4*z**2. Factor u(w).
2*w**3*(w - 1)*(w + 1)/9
Let f(a) be the second derivative of a**4/60 + 3*a**3/5 - a - 2. Factor f(x).
x*(x + 18)/5
Let r(d) = -d**3 + 8*d**2 - 5*d - 10. Let b be r(7). Suppose 6/7*x**b + 0 - 8/7*x**5 - 2/7*x - 6/7*x**2 + 10/7*x**3 = 0. Calculate x.
-1, -1/4, 0, 1
Let z(k) be the first derivative of 14*k**3/3 + 23*k**2 + 12*k + 1. Find l such that z(l) = 0.
-3, -2/7
Suppose -5*h = -4*i - 8, -18 = 5*h + 4*i - 50. Factor -10*t**2 + 32*t**4 - 18*t**2 - 192*t + 49*t**h - 48 - 188*t**2.
3*(t - 2)*(3*t + 2)**3
Let y = 31 - 28. Let 1/4 - 2*q - y*q**3 + 19/4*q**2 = 0. What is q?
1/4, 1/3, 1
Let g(n) be the second derivative of 1/20*n**5 - 1/3*n**3 + 2*n + 1/12*n**4 + 0 + 0*n**2. Factor g(w).
w*(w - 1)*(w + 2)
Suppose -4*y + 9*y - 20 = 0. Suppose 3*t - 8*t = -3*i - y, 0 = 5*i - 5*t. Find m such that 1/3*m + 2*m**2 - 8/3*m**5 + 0 + 7/3*m**3 - i*m**4 = 0.
-1, -1/2, -1/4, 0, 1
Let a(v) be the first derivative of -4 + 1/2*v**2 + 0*v + 0*v**3 + 0*v**4 - 1/40*v**5 + 1/80*v**6. Let b(c) be the second derivative of a(c). Solve b(x) = 0.
0, 1
Suppose -5*m**3 - 4*m**2 + m**3 - 2*m + 5*m**2 + 5*m**3 = 0. Calculate m.
-2, 0, 1
Let h(k) = -2*k**3 - 16*k**2 - 52*k - 54. Let a(m) = -4*m**3 - 31*m**2 - 103*m - 108. Let c(t) = -4*a(t) + 10*h(t). Solve c(p) = 0.
-3
Let t(u) = 2*u**2 + 3*u + 3. Let a(z) = -3*z**2 - 6*z - 5. Let i(k) = 4*a(k) + 7*t(k). Factor i(s).
(s - 1)*(2*s - 1)
Suppose 0 = 2*l - 3*l + 4*w + 22, -l + 3*w + 17 = 0. Solve -d + 3*d**3 + 3*d**2 - 3*d**l - 2*d**3 = 0.
-1, 0, 1
Suppose 0 = 2*a - 8 - 8. Let z be (3/(-9))/(a/(-6)). Factor -1/2*m + 0 + z*m**2 - 1/4*m**4 + 1/2*m**3.
-m*(m - 2)*(m - 1)*(m + 1)/4
Let s(g) be the third derivative of 1/60*g**5 + 0 + 2*g**2 + 1/672*g**8 - 1/48*g**4 + 0*g**6 - 1/210*g**7 + 0*g + 0*g**3. Factor s(p).
p*(p - 1)**3*(p + 1)/2
Let i(q) be the second derivative of 4*q**7/147 - 8*q**6/105 + q**5/70 + q**4/6 - 5*q**3/21 + q**2/7 + 21*q. What is b in i(b) = 0?
-1, 1/2, 1
Suppose 0 = -2*u + 2*j + 6, 4 = 5*u + 4*j - 11. Let -2*i + 3 + u - 4 + i**3 - i = 0. Calculate i.
-2, 1
Suppose -6 = -b - 3. Suppose 0*r + b*r - 6 = 0. Suppose 0*w**3 + w**r - w - w**3 + w**2 = 0. What is w?
0, 1
Let u(i) be the third derivative of -i**5/180 + i**4/36 - i**3/18 - 4*i**2. Let u(g) = 0. Calculate g.
1
Let h(u) be the third derivative of 13*u**5/60 - u**4/12 + 4*u**2. Factor h(f).
f*(13*f - 2)
Factor 1/2*q**3 - 2/3*q + 0*q**2 + 0 - 1/6*q**4.
-q*(q - 2)**2*(q + 1)/6
Let u(q) = -7*q**3 - 4*q**2 - 4*q - 6. Let o(i) = 8*i**3 + 4*i**2 + 4*i + 7. Let d(m) = 6*o(m) + 7*u(m). Determine j, given that d(j) = 0.
-2, 0
Factor 0 - 18*i**5 + 78*i**4 + 26*i**2 - 193/2*i**3 - 2*i.
-i*(i - 2)**2*(6*i - 1)**2/2
Let g(d) be the first derivative of d**4/5 - 4*d**3/5 + 6*d**2/5 - 4*d/5 + 5. Suppose g(p) = 0. What is p?
1
Let p(b) be the first derivative of -b**4 + 20*b**3 - 150*b**2 + 500*b + 5. Factor p(h).
-4*(h - 5)**3
Suppose -9*s = -0*s - 6*s. Find h such that 0*h**2 - 10/9*h**5 + 0 + s*h + 0*h**3 - 4/9*h**4 = 0.
-2/5, 0
Factor 3*l**3 - 3*l**4 + 3*l**3 - 5*l**5 + 2*l**5.
-3*l**3*(l - 1)*(l + 2)
Let l = -92/3 + 31. Factor 2/3*t + l*t**2 + 0.
t*(t + 2)/3
Let x(k) be the first derivative of -3*k**4/4 - 5*k**3 - 9*k**2/2 + 27*k - 2. Factor x(q).
-3*(q - 1)*(q + 3)**2
Let k(v) be the third derivative of -v**8/84 + 8*v**7/105 - v**6/15 - 4*v**5/15 + v**4/2 - 10*v**2 + v. Let k(r) = 0. Calculate r.
-1, 0, 1, 3
Let p(b) be the second derivative of b**4/6 - b**3/3 - 6*b. Factor p(a).
2*a*(a - 1)
Suppose 75*s**2 + 4*s**3 + s**3 + 0*s**3 + 625 + 60*s + 315*s = 0. Calculate s.
-5
Suppose 3*i = 4*s - 6*s + 25, 0 = 4*s - i - 15. Suppose 0 = -s*t - t. Find u such that -3/5*u**2 - 1/5*u**4 + t + 1/5*u + 3/5*u**3 = 0.
0, 1
Factor -6*c**2 - 4 + 10*c + c**2 + c**2 - 2*c.
-4*(c - 1)**2
What is n in 4 + 2 + 4*