/5
Let c(h) be the second derivative of h**7/21 - 3*h**5/10 - h**4/3 + 4*h. Suppose c(w) = 0. What is w?
-1, 0, 2
Let a(p) be the third derivative of -p**6/30 - 8*p**5/15 - 13*p**4/6 - 4*p**3 - 20*p**2. Factor a(m).
-4*(m + 1)**2*(m + 6)
Let y(h) be the second derivative of h**10/75600 - h**9/37800 - h**8/16800 + h**7/6300 + h**4/3 + h. Let j(l) be the third derivative of y(l). Factor j(a).
2*a**2*(a - 1)**2*(a + 1)/5
Let m be 4 - (3/(-3) - 4). Suppose -6*p + m = -3*p. Factor -2/3 - u + 2/3*u**2 + u**p.
(u - 1)*(u + 1)*(3*u + 2)/3
Let q(t) be the second derivative of 3*t**5/35 + t**4/21 - 2*t**3/7 - 2*t**2/7 + 10*t. Factor q(g).
4*(g - 1)*(g + 1)*(3*g + 1)/7
Let l(v) = 2*v**2 - 3*v + 3. Let f(h) be the first derivative of -2*h**3 + 4*h**2 - 8*h - 5. Let a(x) = 3*f(x) + 8*l(x). Factor a(r).
-2*r**2
Let m(d) be the third derivative of -d**5/30 + 3*d**2. Let m(a) = 0. Calculate a.
0
Solve -1/7*w**2 + 8/7*w - 4/7 + 1/7*w**5 + 1/7*w**4 - 5/7*w**3 = 0.
-2, 1
Let y(o) be the second derivative of -o**5/150 + o**3/15 + 5*o**2/2 + 5*o. Let u(l) be the first derivative of y(l). Factor u(g).
-2*(g - 1)*(g + 1)/5
Let h(d) = -d**2 - 6*d + 6. Let y be h(-6). Let t be ((-1)/(-1))/(y - 5). Suppose 1/2*o + 1/2*o**2 - t = 0. Calculate o.
-2, 1
Find y, given that -6/5*y**3 + 0*y + 0 + 0*y**2 + 3/5*y**5 + 3/5*y**4 = 0.
-2, 0, 1
Suppose -5*y - 7 = 4*j, -3*j - y = y. Suppose o**2 + 0*o**2 - 3*o**j - o**2 - 9*o - 6 = 0. Calculate o.
-2, -1
Let r(j) = -10*j**2 + 7*j + 3. Let b(n) = 9*n**2 - 8*n - 2. Let f(z) = 6*b(z) + 5*r(z). Find g such that f(g) = 0.
1/4, 3
Let p(t) be the first derivative of t**6/45 - 3*t**5/20 + t**4/6 - 5*t**3/3 - 3. Let m(y) be the third derivative of p(y). Factor m(g).
2*(g - 2)*(4*g - 1)
Factor -13/2*f**2 - 18 - 1/2*f**3 - 24*f.
-(f + 1)*(f + 6)**2/2
Let p = -3/82 + 91/246. Let r be (-14)/(-6) - (0 + 2). Determine o so that -r - p*o**2 + 2/3*o = 0.
1
Let t(g) = 4*g**2 - 7*g + 7. Let c(x) = 3*x**2 - 6*x + 6. Let d be (-80)/(-14) - (-2)/7. Let a(z) = d*c(z) - 4*t(z). Factor a(r).
2*(r - 2)**2
Suppose 9*m - 6*m - 6 = 0. Let d(f) be the second derivative of 1/24*f**3 - f - 1/48*f**4 + 0*f**m + 0. Factor d(h).
-h*(h - 1)/4
Let y(o) = -3*o**5 + 6*o**4 + 3*o - 3. Let t(w) = -w**3 - w + 1. Suppose -1 + 3 = 2*m. Let s(d) = m*y(d) + 3*t(d). Factor s(c).
-3*c**3*(c - 1)**2
Let v = 10369/15 - 693. Let r = -4/3 - v. What is n in 2/5*n**2 + 0 - r*n**3 + 0*n = 0?
0, 1
Let i(v) be the second derivative of -v**4/24 + v**3/12 - 4*v. Suppose i(g) = 0. Calculate g.
0, 1
Let z(y) = -y**3 + 5*y**2 - 2. Let a be z(2). Suppose 4*g - 25 = -g - 5*m, 4*g - m = a. Solve -4 + 3*f + 0*f + 0 + 4*f**2 - f - 2*f**g = 0.
-1, 1, 2
Let m(v) be the first derivative of v - 2 - 3/4*v**4 - 1/2*v**2 - v**3. Let q(o) = -7*o**3 - 6*o**2 - o + 3. Let b(s) = 5*m(s) - 2*q(s). Factor b(r).
-(r + 1)**3
Find w, given that -3/2*w**4 + 0*w - 6*w**2 + 0 - 6*w**3 = 0.
-2, 0
Let a(p) = -3*p**2 + 6*p - 11. Let r(z) = 5*z**2 - 12*z + 21. Let v(b) = 7*a(b) + 4*r(b). Factor v(k).
-(k - 1)*(k + 7)
Let -6 - 26*i + 18*i - 4*i**2 + 2*i**2 = 0. What is i?
-3, -1
Let i(o) be the third derivative of 2*o**7/105 + o**6/30 - o**5/5 - o**4/6 + 4*o**3/3 - 2*o**2. Solve i(c) = 0 for c.
-2, -1, 1
Let b(c) be the first derivative of c**9/4536 + c**8/1260 + c**7/1260 - 4*c**3/3 - 1. Let z(n) be the third derivative of b(n). Factor z(u).
2*u**3*(u + 1)**2/3
Let g(o) = -o**3 - 25*o**2 + 30*o + 104. Let v be g(-26). What is i in 1/5*i**3 - 7/5*i**4 + 7/5*i**2 - 3/5*i**5 + v + 2/5*i = 0?
-2, -1, -1/3, 0, 1
Let x be -1 - (-20)/35 - -1. Let -2/7 - 2/7*c**2 - x*c = 0. What is c?
-1
Let j = -25 + 37. Let h be 4/j + (-3)/(-45). Suppose 0*m + h - 2/5*m**2 = 0. What is m?
-1, 1
Suppose -5*y + 5 = 3*s + 17, 0 = -y - s - 4. Let h(z) be the first derivative of 1/20*z**5 + 2 + y*z**3 + 0*z + 0*z**2 + 3/16*z**4. Factor h(t).
t**3*(t + 3)/4
Let t be 36 - (-2 + 1)*-1. Let l be ((-4)/10)/((-28)/t). Factor -2 + 3/2*d**2 - 2*d + l*d**4 + 2*d**3.
(d - 1)*(d + 1)*(d + 2)**2/2
Let r be -2 + (2 - 0) - 2. Let u = r - -5. Factor 3*y**2 - 1 + y + 4*y - u*y.
(y + 1)*(3*y - 1)
Let j be -3 + 2 + (-152)/32 + 6. Factor 0*m - j*m**2 - 1/4*m**3 + 0.
-m**2*(m + 1)/4
Let i(d) be the third derivative of d**7/35 + 3*d**6/40 - 7*d**5/20 - 3*d**4/2 - 2*d**3 - 5*d**2. Determine a so that i(a) = 0.
-2, -1, -1/2, 2
Let u(i) be the second derivative of -3*i**5/140 + 3*i**3/14 + 3*i**2/7 - i. Solve u(s) = 0 for s.
-1, 2
Let n(a) = 5*a**5 + 3*a**4 - 3*a**3 - 5*a**2. Let r be (-2*2/(-4))/1. Let q(i) = i**5 - i**2. Let t(l) = r*n(l) - 2*q(l). Solve t(z) = 0 for z.
-1, 0, 1
Let z = -2 - -7. Suppose z - 4*r**2 + 3*r**3 - 1 + 4*r - 6*r - r**3 = 0. Calculate r.
-1, 1, 2
Find v, given that -245/2*v**4 + 0 + 5*v + 735/4*v**5 - 305/4*v**3 + 10*v**2 = 0.
-1/3, -2/7, 0, 2/7, 1
Let b be 29/3 + 1/3. Suppose -b*g + 0 + 6*g**2 + 4 - 20*g**2 = 0. Calculate g.
-1, 2/7
Let a(g) be the second derivative of -g**4/66 - 16*g**3/33 + 10*g + 1. Find m, given that a(m) = 0.
-16, 0
Let y(j) = -3*j + 15. Let m be y(12). Let v = m - -43/2. Solve v*g - 1/2*g**2 + 0 = 0 for g.
0, 1
Suppose -2*q + 5 = -q. Factor -8*z - z - 3 - z**2 - q*z**2.
-3*(z + 1)*(2*z + 1)
Factor 4/9*v + 6*v**3 + 26/9*v**2 + 14/9*v**5 + 0 + 46/9*v**4.
2*v*(v + 1)**3*(7*v + 2)/9
Let q(o) be the third derivative of -o**5/420 - o**4/42 - 2*o**3/21 + 9*o**2. Suppose q(y) = 0. Calculate y.
-2
Let g be (12/(-3) + -2)/(-2). Suppose -g + 2*j**3 + 3 - 2*j**5 = 0. Calculate j.
-1, 0, 1
Let k = -86 - -86. Solve 0 + 0*m**3 + k*m + 1/5*m**4 - 1/5*m**2 = 0.
-1, 0, 1
Let x(j) be the first derivative of -j**8/840 + j**6/60 + j**5/30 + 7*j**3/3 + 5. Let h(a) be the third derivative of x(a). Suppose h(m) = 0. What is m?
-1, 0, 2
Let d(t) be the first derivative of t**3/12 - t**2/8 - t/2 + 34. Solve d(s) = 0 for s.
-1, 2
Let j = 175/1278 + 10/71. Let i(k) be the third derivative of 4/9*k**3 + 2*k**2 + j*k**5 + 0*k + 5/9*k**4 + 0. Factor i(g).
2*(5*g + 2)**2/3
Let i(u) = u**3 + u**2 - u + 1. Let f(z) = z**3 + 7*z**2 - 5*z + 3. Let v(j) = 2*f(j) - 6*i(j). Factor v(q).
-4*q*(q - 1)**2
Let q(m) be the first derivative of -m**4/36 - m**3/9 - m**2/6 + 3*m - 3. Let l(v) be the first derivative of q(v). Factor l(a).
-(a + 1)**2/3
Let u(h) be the second derivative of -1/4*h**4 - 2*h**3 + 0 + 5*h - 9/2*h**2. Solve u(c) = 0 for c.
-3, -1
Find k such that -4*k - 12/5*k**2 + 8/5 = 0.
-2, 1/3
Let u(p) be the third derivative of p**5/30 + 11*p**4/6 + 121*p**3/3 - 40*p**2. What is j in u(j) = 0?
-11
Let q be 0*3*2/(-6). Let 0*y**2 + 0 + 2/3*y**5 - 4/3*y**3 + q*y**4 + 2/3*y = 0. What is y?
-1, 0, 1
Let c(l) be the first derivative of -4*l**5/25 + 7*l**4/20 + 14*l**3/15 + 3*l**2/10 - 66. Factor c(f).
-f*(f - 3)*(f + 1)*(4*f + 1)/5
Factor 0*z - 2*z**3 - 5*z + 7*z.
-2*z*(z - 1)*(z + 1)
Let z(b) be the second derivative of b**6/90 + b**5/20 - b**4/6 - 14*b**3/9 - 4*b**2 - 2*b. Factor z(v).
(v - 3)*(v + 2)**3/3
Let b be 2 + 10/25 - 2. Let d = 13/35 - -3/7. Factor -b*v**2 - 2/5*v + d.
-2*(v - 1)*(v + 2)/5
Let f(d) = 2*d**4 - 4*d**3 + d**2 + d. Let l(h) = -11*h**4 + 23*h**3 - 6*h**2 - 6*h. Let g(v) = 34*f(v) + 6*l(v). Suppose g(u) = 0. Calculate u.
-1, 0, 1
Suppose -2*t = -6*t + 12. Let j(a) = a**4 + a**3. Let g(z) = -2*z**4 - 4*z**3 - z**2 + z. Let n(x) = t*j(x) + g(x). Determine l so that n(l) = 0.
-1, 0, 1
Let t(c) be the second derivative of c**6/420 + c**5/210 + c**2/2 - 2*c. Let m(s) be the first derivative of t(s). Find z such that m(z) = 0.
-1, 0
Let o(t) be the first derivative of t**7/4620 + t**6/990 - t**5/660 - t**4/66 - 5*t**3/3 + 1. Let f(b) be the third derivative of o(b). Factor f(d).
2*(d - 1)*(d + 1)*(d + 2)/11
Let y(r) be the third derivative of r**7/30 + r**6/24 - 3*r**5/20 - 5*r**4/24 + r**3/3 - 15*r**2. Suppose y(t) = 0. Calculate t.
-1, 2/7, 1
Find g, given that 1/3*g - 1/3*g**2 + 1/3*g**4 + 0 - 1/3*g**3 = 0.
-1, 0, 1
Suppose -s - 146 + 148 = 0. Factor 0*w - 2/3*w**3 + 0 + 0*w**s.
-2*w**3/3
Suppose 0 = -4*o + 8. Let r be (-1 + (-25)/(-10))*o. Factor -8/11*n + 6/11*n**r + 2/11*n**4 + 0 + 0*n**2.
2*n*(n - 1)*(n + 2)**2/11
Let l = -7 - -7. Let j(q) be the second derivative of 1/20*q**5 - 1/12*q**4 + 0 - 3*q + 0*q**2 + l*q**3. Factor j(u).
u**2*(u - 1)
Let k be (4 + -6)*(-1 + -1). Determine q so that -2/9*q**k - 2/9 + 8/9*q**3 - 4/3*q**2