5*v**4 - 4*v**3 - 8*v**4 - 3*v**5 + v**3 = 0. Calculate v.
-1, 0
Let g be -4 + 2/(160/321). Let p(m) be the second derivative of -1/120*m**6 + 0*m**2 - 1/168*m**7 - m + 1/48*m**4 + g*m**5 + 0 + 0*m**3. Factor p(h).
-h**2*(h - 1)*(h + 1)**2/4
Factor -4/5*q**2 - 2/5*q + 0 - 2/5*q**3.
-2*q*(q + 1)**2/5
Let j = -34 - -34. Determine o, given that 0 + 0*o + j*o**2 + 1/2*o**3 = 0.
0
Let i(g) be the first derivative of -g**6/420 - g**5/210 + g**4/84 + g**3/21 + 5*g**2/2 + 2. Let l(m) be the second derivative of i(m). What is n in l(n) = 0?
-1, 1
Let k(f) be the second derivative of f**7/14 - f**6/5 + 3*f**5/20 - 4*f. Determine o so that k(o) = 0.
0, 1
Let s = 6 + -4. Suppose 1 = s*m - 3. Solve 3*h**2 + 6*h**3 - 4*h**2 - 7*h**m + 3*h - h = 0 for h.
0, 1/3, 1
Let x(d) be the first derivative of d**4/12 + 2*d**3/9 - 7*d**2/6 + 4*d/3 + 13. Factor x(g).
(g - 1)**2*(g + 4)/3
Let x be 0 - 0 - 2/2. Let y be -3 - (1 - x)*-12. Suppose y + c**2 - 21 - 2*c**3 = 0. Calculate c.
0, 1/2
Let r(l) = 22*l**3 + l**2 - 2*l - 2. Let n be r(-1). Let o = -21 - n. Factor -2/5 + 2/5*a**2 + o*a.
2*(a - 1)*(a + 1)/5
Let j(s) = -s**4 - s**3 + s**2 + s + 1. Let z(p) = 7*p**4 + 6*p**3 - 9*p**2 - 4*p - 6. Let b(n) = -6*j(n) - z(n). Determine d so that b(d) = 0.
-2, 0, 1
Let w(r) = r**5 + r**4 - r**3. Let u(n) = 3*n**5 - n**4 - 11*n**3 + 2*n**2 + 16*n + 8. Let g(c) = 2*u(c) - 2*w(c). Let g(l) = 0. What is l?
-1, 2
Find c such that 6/5*c**2 + 2/5*c**4 + 0 - 2/5*c - 6/5*c**3 = 0.
0, 1
Let j(p) be the first derivative of -p**3 - 1/5*p**5 + 0*p - 2 - 3/4*p**4 - 1/2*p**2. Determine m, given that j(m) = 0.
-1, 0
Let s(m) be the second derivative of 1/20*m**5 + 4*m + 0*m**3 + 1/30*m**6 + 1/36*m**4 + 0 + 1/126*m**7 + 0*m**2. Factor s(n).
n**2*(n + 1)**3/3
Factor 3/7*d - 3/7*d**2 + 6/7.
-3*(d - 2)*(d + 1)/7
Let g(s) be the second derivative of s**4/3 - 8*s**3 + 72*s**2 - 25*s. Factor g(q).
4*(q - 6)**2
Let x(v) be the first derivative of 7*v**5/4 - 19*v**4/8 + v**3/12 + v**2/4 + 5. What is l in x(l) = 0?
-1/5, 0, 2/7, 1
Let r(m) = 9*m**2 - 21*m + 16. Let v(u) = 8*u**2 - 22*u + 17. Let n(h) = -3*r(h) + 4*v(h). Determine o, given that n(o) = 0.
1, 4
Factor -1/6*n**2 - 1/3 + 1/2*n.
-(n - 2)*(n - 1)/6
Let m(d) be the third derivative of d**7/735 - d**6/140 + d**5/105 + 2*d**2. Factor m(b).
2*b**2*(b - 2)*(b - 1)/7
Let j(d) = 4*d**2 - 12*d - 2. Let r(y) = y. Let s(c) = j(c) + 5*r(c). Factor s(p).
(p - 2)*(4*p + 1)
Suppose 2*i + i - 2 = -k, -2*k - 14 = -3*i. Let d be (-6)/(-39) - 342/(-819). Suppose -2/7*x**i + d - 2/7*x = 0. What is x?
-2, 1
Let n be -7 + (-6)/42*-52. Solve -n*j**2 - 3/7 + 6/7*j = 0.
1
Determine j, given that 144/5*j**2 - 48/5 - 21/5*j**3 - 12*j - 3*j**4 = 0.
-4, -2/5, 1, 2
Find p such that -1/2*p**2 + 0*p + 2 = 0.
-2, 2
Let s(q) = -225*q**2 + q + 1. Let w be s(-1). Let u = 695/3 + w. Determine l so that 2/3 - 2/3*l**5 + 20/3*l**2 - u*l**3 + 10/3*l**4 - 10/3*l = 0.
1
Let z(u) be the second derivative of 0 + 4/3*u**2 - 2/9*u**3 - 3*u - 8/9*u**4 - 1/3*u**5. Find v such that z(v) = 0.
-1, 2/5
Let n be ((-4)/6 - (-33)/9)*1. Let -28*f**n + 88/5*f**2 + 0 - 16/5*f + 10*f**4 = 0. What is f?
0, 2/5, 2
Let n(q) = 3*q - 15. Let w be n(5). Factor 0*l + 0*l**2 + 2/7*l**5 + 4/7*l**4 + 2/7*l**3 + w.
2*l**3*(l + 1)**2/7
Let p(z) be the second derivative of z**4/16 + z**3/4 + 3*z**2/8 + 6*z. Suppose p(r) = 0. Calculate r.
-1
Let b(l) = 3*l - 6. Let w be b(2). Solve w - j**2 + 1/2*j = 0.
0, 1/2
Let h(b) be the first derivative of b**4/12 + b**3/3 + 3*b + 2. Let p(y) be the first derivative of h(y). Factor p(r).
r*(r + 2)
Let k(y) = -y**3 - 7*y**2 + 3. Let c be k(-7). Factor s**2 + 0 - s**3 - c*s**5 + 0 - 5*s**4.
-s**2*(s + 1)**2*(3*s - 1)
Let g be (-15)/(-6)*(2 + 2). What is z in 0 + 2 + 14*z**2 + 0 - 3*z**3 - 3*z**3 - g*z = 0?
1/3, 1
Let f(c) be the first derivative of -c**7/180 + c**6/60 - c**5/90 - c**3 - 1. Let j(a) be the third derivative of f(a). Suppose j(n) = 0. Calculate n.
0, 2/7, 1
Suppose 5*i = -x - 3*x - 85, -5*x - 3*i - 103 = 0. Let a be (-7)/x + (-2)/(-5). Solve 3/4*o - a*o**2 + 1/4*o**3 - 1/4 = 0 for o.
1
Factor 4/21*r + 2/21*r**2 + 0.
2*r*(r + 2)/21
Let k = -766 + 45961/60. Let u(y) be the third derivative of k*y**5 + 1/24*y**4 - 2*y**2 + 0*y + 1/360*y**6 + 0 + 1/18*y**3. Factor u(b).
(b + 1)**3/3
Let d(l) = -3*l**4 - 43*l**3 - 69*l**2 + 48*l + 77. Let o(a) = a**4 + 21*a**3 + 35*a**2 - 24*a - 39. Let y(c) = -3*d(c) - 5*o(c). Suppose y(i) = 0. Calculate i.
-3, -1, 1
Let v(d) = -d**2 - d - 2. Let f = 6 - 2. Suppose -c = -0*c + f*o - 2, 3*c + o = 6. Let g(s) = s**2 + s. Let a(q) = c*g(q) + v(q). Factor a(k).
(k - 1)*(k + 2)
Let h(i) be the second derivative of -i**8/336 + i**6/120 + i**2 + 3*i. Let k(m) be the first derivative of h(m). Factor k(z).
-z**3*(z - 1)*(z + 1)
Let o(r) be the third derivative of -r**6/60 - r**5/30 + r**4/12 + r**3/3 - 5*r**2. Factor o(c).
-2*(c - 1)*(c + 1)**2
Let f(r) = -3*r**4 + 3*r**2 + 3. Let a(k) = k**5 - 6*k**4 + 7*k**2 + 7. Let y(w) = -3*a(w) + 7*f(w). Find o, given that y(o) = 0.
-1, 0
Let g(v) be the first derivative of -2*v**6/7 + 4*v**5/35 + 6*v**4/7 - 8*v**3/21 - 6*v**2/7 + 4*v/7 - 17. Find z such that g(z) = 0.
-1, 1/3, 1
Let l(q) be the third derivative of -q**7/945 + q**6/108 - 7*q**5/270 + q**4/36 - 21*q**2. Factor l(z).
-2*z*(z - 3)*(z - 1)**2/9
Let z(k) = -k**2 + 13*k - 9. Let u be z(12). Let w(h) be the third derivative of -h**2 - 1/60*h**5 + 0*h**u + 0 - 1/24*h**4 + 0*h. What is p in w(p) = 0?
-1, 0
Let x(t) be the third derivative of -t**5/180 + t**3/18 + 4*t**2. Factor x(s).
-(s - 1)*(s + 1)/3
Let l be (-2)/(2 + (-3)/2). Let d be l*(3/(-2) + 1). Factor -3*x**2 + 2*x**2 - d*x**2 + 2*x**2.
-x**2
Let q = 2/25 + 71/50. Solve -1/4*w**2 - 9/4*w**4 - q*w**3 + 0 + 0*w - w**5 = 0.
-1, -1/4, 0
Let f(w) be the third derivative of 7*w**2 - 1/1512*w**8 + 0 + 0*w**7 + 0*w**5 + 0*w**4 + 0*w**3 + 1/540*w**6 + 0*w. Solve f(q) = 0 for q.
-1, 0, 1
Let i = -11 + 6. Let s(p) = p**2 + 4*p - 3. Let t be s(i). Factor 0*w**2 - 7 + 4 + 4 + w**t + 2*w.
(w + 1)**2
Let d(p) = 9*p**5 - 36*p**4 + 18*p**2 - 21*p + 18. Let g(q) = -q**4 - q**3 + 1. Let o(c) = -d(c) + 12*g(c). Solve o(x) = 0.
-1, 2/3, 1
Suppose 9/2 - 12*j + 15/8*j**2 = 0. What is j?
2/5, 6
Let o = 244 + -244. Factor o - 1/5*y**4 - 1/5*y**3 + 1/5*y + 1/5*y**2.
-y*(y - 1)*(y + 1)**2/5
Let f(r) = -r - 1. Let q(x) = x**4 - 3*x**2 + 4*x + 6. Suppose 5*o = 5*n - 20, 4 = -5*o + n - 4. Let t(u) = o*q(u) - 6*f(u). Suppose t(z) = 0. What is z?
-1, 0, 2
Let m be (7/(-5))/(33/(-55)). Factor 1/3 + l**3 + m*l**2 + 5/3*l.
(l + 1)**2*(3*l + 1)/3
Let -16/9 - 2/9*q**3 + 8/9*q + 4/3*q**2 - 2/9*q**4 = 0. Calculate q.
-2, 1, 2
Let y(g) be the first derivative of 4*g**5 + 3*g**4 - 16*g**3 + 8*g**2 - 17. Factor y(b).
4*b*(b - 1)*(b + 2)*(5*b - 2)
Let k be 4 + -1 + 49/(-21). Determine b so that 0 - k*b + 2/3*b**2 = 0.
0, 1
Let r(s) be the first derivative of 0*s**5 + 0*s**2 - 1/1620*s**6 + 2 + 1/108*s**4 + s**3 + 0*s. Let p(f) be the third derivative of r(f). Factor p(l).
-2*(l - 1)*(l + 1)/9
Let k be 2/6 - 3/9. Let j(l) be the second derivative of -5/36*l**4 + 0*l**2 + 3*l + k - 1/9*l**3. Factor j(y).
-y*(5*y + 2)/3
Let l(u) be the first derivative of u**2 - 7/4*u**4 + 0*u + 3 - 5/3*u**3. Factor l(i).
-i*(i + 1)*(7*i - 2)
Let r(h) = h**2 + 42*h + 440. Let y be r(-23). Factor 9/2*j**5 + 0*j**2 + y*j**3 + 15/2*j**4 + 0*j + 0.
3*j**3*(j + 1)*(3*j + 2)/2
Let j(d) be the third derivative of d**5/210 + d**4/14 + 3*d**3/7 + 8*d**2. Solve j(n) = 0.
-3
Let k(u) be the third derivative of -u**5/210 + u**4/21 - 4*u**3/21 - 6*u**2 + u. Find o such that k(o) = 0.
2
Factor -2/7*u**2 + 0 - 2/7*u**3 + 0*u.
-2*u**2*(u + 1)/7
Factor 8*o**2 - o**2 - 5*o**2 - 5*o**2 - 6*o.
-3*o*(o + 2)
Let f(q) = -q**3 + 35*q**2 - 23*q - 49. Let p = 21 - 23. Let s(k) = k**3 - 17*k**2 + 11*k + 25. Let i(d) = p*f(d) - 5*s(d). Factor i(a).
-3*(a - 3)**2*(a + 1)
Suppose -5*c + 2*z = -21, -c = 2*c + 2*z - 19. Let v(x) = -2*x**2 - 9*x. Let m(w) = 2*w**2 + 8*w. Let y(i) = c*m(i) + 4*v(i). Factor y(t).
2*t*(t + 2)
Let m(z) be the third derivative of 0*z**4 - 1/210*z**7 - 1/60*z**5 + 0*z**3 + 0*z + 1/60*z**6 + 0 + 3*z**2. Find c such that m(c) = 0.
0, 1
Let s(x) = -3*x**3 - x**2 + 2*x - 4. Let l(o) = o**3 - o + 1. Let u(k) = -k - 4. Let g be u(0). Let t(j) = g*l(j) 