x) = -5*x**3 - 13*x**2 - 19*x - 11. Let h(b) = 3*p(b) - 10*z(b). Determine r so that h(r) = 0.
-2, -1
Suppose -i - 5*p = 5, -1 = -5*i + 5*p + 4. Solve 0 + i*l**2 - 2/5*l + 2/5*l**3 = 0.
-1, 0, 1
Let z(q) be the second derivative of 1/21*q**7 + 0*q**6 + q + 0*q**2 - 1/10*q**5 + 0 + 0*q**4 + 0*q**3. Factor z(k).
2*k**3*(k - 1)*(k + 1)
Suppose -7*n = -9*n + 4. Let u = 4 - n. Factor 1/3*h**3 + 1/3*h**5 + 0*h**u + 0 + 0*h - 2/3*h**4.
h**3*(h - 1)**2/3
Let z(u) be the third derivative of -u**5/20 - u**4/4 - 6*u**2. Factor z(p).
-3*p*(p + 2)
Let f(q) = -q**2 - 7*q + 34. Let g be f(-10). Solve 4/5*k + 2/5*k**g - 2/5 + 0*k**2 - 4/5*k**3 = 0.
-1, 1
Let y = 1247/35 - 248/7. Factor 4/5*f**3 + 1/5 - 4/5*f - y*f**2.
(f - 1)*(f + 1)*(4*f - 1)/5
Let u(y) be the second derivative of -y**7/560 + y**6/180 + 11*y**5/720 + y**4/72 + y**3/2 - 4*y. Let j(a) be the second derivative of u(a). Factor j(b).
-(b - 2)*(3*b + 1)**2/6
Let j(g) be the third derivative of g**8/1008 + g**7/70 + 3*g**6/40 + 3*g**5/20 - 3*g**2. Solve j(h) = 0.
-3, 0
Let j(w) be the first derivative of w**4/2 - 2*w**3/9 - 8*w**2/3 - 8*w/3 + 5. Factor j(x).
2*(x - 2)*(x + 1)*(3*x + 2)/3
Let f(n) = -n**4 + n**3 + n**2 + n + 1. Let o(z) = -3*z**4 + z**3 + 5*z**2 + 3*z. Let y(i) = -2*f(i) + o(i). Factor y(p).
-(p - 1)**2*(p + 1)*(p + 2)
Let y(d) = -d**2 - 5*d + 2. Let t be y(-5). Suppose -t*c = -w - 3 + 2, 3*w = 15. Find a such that c*a + 3*a - a**2 + 3*a**2 + 4 = 0.
-2, -1
Suppose 2 = 2*s - 16. Find u such that -3*u**3 + 4*u - 4*u - 24*u**2 + s*u**2 - 24*u - 12 = 0.
-2, -1
Let k(i) be the third derivative of -i**6/300 - 2*i**5/25 - 11*i**4/60 + 32*i**2. What is n in k(n) = 0?
-11, -1, 0
Suppose -1/3*j**3 + 0*j**2 + 0 + 4/3*j = 0. Calculate j.
-2, 0, 2
Let d = -1126 + 90081/80. Let x(y) be the third derivative of 1/12*y**3 + 0*y + y**2 + 0 + 7/120*y**5 - 5/48*y**4 - d*y**6. Factor x(k).
-(k - 1)**2*(3*k - 1)/2
Factor 2/5*o**2 - 2/5 + 2/5*o**3 - 2/5*o.
2*(o - 1)*(o + 1)**2/5
Let r = 4 + -9. Let x(c) = 16*c**3 - 12*c**2 - 9*c. Let v(o) = -14*o + 3 - 3 - 18*o**2 + 24*o**3. Let k(n) = r*v(n) + 8*x(n). Factor k(t).
2*t*(t - 1)*(4*t + 1)
Let w(f) be the first derivative of f**3 - 3*f**2/2 - 6*f + 4. Suppose w(p) = 0. Calculate p.
-1, 2
Let q(p) = 4*p**5 - 4*p**4 + 4. Let s(c) = 4*c**5 - 3*c**4 - c**3 + 3. Let m(g) = -3*q(g) + 4*s(g). Let m(l) = 0. Calculate l.
-1, 0, 1
Let k(a) be the third derivative of 0*a - 1/8*a**4 + a**2 + 0 - 1/120*a**5 - 3/4*a**3. Find b such that k(b) = 0.
-3
Let x = 2 + 1. Factor 3 - 1 + 4*c + 2 - x*c**2.
-(c - 2)*(3*c + 2)
Let z(p) be the first derivative of 6*p**3/7 - 24*p**2/7 + 32*p/7 - 9. Factor z(k).
2*(3*k - 4)**2/7
Suppose 2*a + 5*a**2 + 3*a**3 + a**3 - 2*a**2 + 6*a**2 = 0. What is a?
-2, -1/4, 0
Let v(a) = 16*a**4 + 14*a**3 + 34*a**2 - 10*a. Let r(b) = -5*b**4 - 5*b**3 - 11*b**2 + 3*b. Let i(s) = 20*r(s) + 6*v(s). Factor i(t).
-4*t**2*(t + 2)**2
Let b = -1 + 9. Let t = -8 + b. Find o such that -1/3*o**3 + t + 0*o**2 + 1/3*o = 0.
-1, 0, 1
Factor -2/3*j**2 + 23/6*j + 1.
-(j - 6)*(4*j + 1)/6
Let m(s) = s**2 + s. Let y be m(-2). Let l be 4/(-1)*(-6)/8. Determine h so that 5*h + 2*h**4 + y + 5*h**5 - 4*h**2 + 0*h**5 - 7*h**3 - l*h**3 = 0.
-1, -2/5, 1
Let d(i) be the third derivative of -i**7/1050 + i**6/360 - i**5/600 + i**3/3 + 4*i**2. Let h(z) be the first derivative of d(z). Factor h(j).
-j*(j - 1)*(4*j - 1)/5
Determine i so that -3/7*i**3 + 0*i + 0 + 6/7*i**2 = 0.
0, 2
Suppose -4*i + 18 = 2*z, 3 = 5*z + 5*i - 27. Let z*a**4 - 4*a**3 + 2 + a**3 - 2 = 0. Calculate a.
0, 1
Let k = 87 - 85. Let d(i) be the second derivative of 0*i**k - 1/50*i**6 - 1/10*i**3 + 1/20*i**4 + 0 + 3/100*i**5 - 2*i. Factor d(m).
-3*m*(m - 1)**2*(m + 1)/5
Let h(q) = 2*q**2 + 9*q + 1. Let v be h(-5). Suppose -6*a + v*a**2 + 3*a**2 + 7*a**3 - 4 - 6*a = 0. Calculate a.
-2, -2/7, 1
Let x = -81 + 83. Factor 0*a - 1/4*a**3 + 0 - 1/4*a**x.
-a**2*(a + 1)/4
Let r(d) be the first derivative of 2*d**5/15 + 5*d**4/6 + 2*d**3/3 - 5*d**2/3 - 8*d/3 + 16. Suppose r(u) = 0. Calculate u.
-4, -1, 1
Let b(r) be the first derivative of 0*r - r**2 + 0*r**3 - 1/120*r**6 - 2 + 1/24*r**4 + 0*r**5. Let z(t) be the second derivative of b(t). Factor z(c).
-c*(c - 1)*(c + 1)
Let l(z) be the second derivative of -2*z**7/189 + 2*z**6/135 - 16*z. Factor l(a).
-4*a**4*(a - 1)/9
Let o(y) be the first derivative of 3*y**5/5 - 3*y**4/4 - y**3 + 3*y**2/2 - 1. Determine v, given that o(v) = 0.
-1, 0, 1
Let q(u) be the third derivative of -u**6/840 - u**5/140 - u**4/84 + 7*u**2. Factor q(x).
-x*(x + 1)*(x + 2)/7
Let l(f) = f**3 - 10*f**2. Let o be l(10). Let b be 2 - (o + -1 + 1). Factor b - 2 + 2*v**2 + 2*v.
2*v*(v + 1)
Let s(r) be the second derivative of -5*r**4/12 + 11*r**3/6 + r. Let z(d) = -d**2 + 2*d. Let l(v) = 2*s(v) - 11*z(v). Find g such that l(g) = 0.
0
Suppose 2*s = -m - 55, 5*s + 2*m - 5*m = -132. Let o = -23 - s. Let 0*q - 1/3*q**o + 0*q**2 + 0*q**3 + 0 = 0. What is q?
0
Factor -1/4*q + 5/4*q**2 - q**3 + 0.
-q*(q - 1)*(4*q - 1)/4
Let x be 4/(0/(-1) - -1). Let u be (-7)/(-4) - (-1)/x. Factor 2*p - 4*p**u + 0*p**2 + 3*p**2 + 0*p - 1.
-(p - 1)**2
Factor 32/7*b**2 + 2*b**5 - 2/7*b - 4/7 + 52/7*b**4 + 68/7*b**3.
2*(b + 1)**4*(7*b - 2)/7
Find h such that -2/9*h - 8/9*h**2 + 4/3 - 2/9*h**3 = 0.
-3, -2, 1
Let g(j) = -5*j**2 - 17*j - 6. Let r be g(-3). Solve 1/2*u**2 + r*u + 0 - 1/2*u**3 = 0 for u.
0, 1
Determine x, given that -3*x**4 - 37*x**3 - x - 9*x**2 + 4*x + 46*x**3 = 0.
0, 1
Let s(h) be the third derivative of 0 + 0*h + 4*h**2 + 1/6*h**4 - 1/60*h**5 + 0*h**3. What is y in s(y) = 0?
0, 4
Suppose 0 = -4*p + 3*d, 0 = 4*p - 5*d + 8. Let u(y) be the first derivative of -1 + 4*y**2 - 2/5*y**5 - 2*y - 4*y**p + 2*y**4. Factor u(a).
-2*(a - 1)**4
Let g(s) = -2*s**3 + 11*s**2 + 3*s. Let b(c) = -c**3 + 10*c**2 + 3*c. Let m(n) = -5*b(n) + 4*g(n). Factor m(u).
-3*u*(u + 1)**2
Suppose -2*y - 29 = 7. Let a be (-48)/(-40)*(-20)/y. Factor -a + 2/3*h + 2/3*h**2.
2*(h - 1)*(h + 2)/3
Let w(r) = -3*r + 9. Let h be w(3). Let v(g) be the first derivative of 1/4*g**4 + h*g + 0*g**2 + 2 + 1/3*g**3. Factor v(o).
o**2*(o + 1)
Let j be (-24)/(-14) + (-6)/(-21). Let c = 651 - 4547/7. Solve -j*a - c*a**2 - 4/7 = 0 for a.
-1, -2/5
Let w be (-3)/(-6)*-8 + 82. Let a = -309/4 + w. Factor -9/2*z + 27/4 + a*z**2.
3*(z - 3)**2/4
Let a = 62 + -60. Let r(p) be the second derivative of 0 - 5/4*p**4 + 4*p + 3/2*p**a + 2*p**3. Let r(d) = 0. What is d?
-1/5, 1
Let f(i) be the first derivative of i + 3 + 1/3*i**2 - 1/9*i**3. Factor f(t).
-(t - 3)*(t + 1)/3
Let v(b) be the third derivative of 0*b + 0*b**4 + 0*b**3 - 6*b**2 + 0*b**5 + 1/240*b**6 + 0. Factor v(n).
n**3/2
Let h(u) = 22*u**5 + 13*u**4 - 47*u**3 + 12*u**2. Let q(w) = -45*w**5 - 25*w**4 + 95*w**3 - 25*w**2. Let g(f) = 5*h(f) + 2*q(f). Solve g(v) = 0 for v.
-2, 0, 1/4, 1
Let a(g) = -g**5 - 9*g**4 - 3*g**3 + 13*g**2. Let i(s) = -8*s**5 - 64*s**4 - 20*s**3 + 92*s**2. Let c(v) = -20*a(v) + 3*i(v). Factor c(l).
-4*l**2*(l - 1)*(l + 2)**2
Let o(l) be the third derivative of -l**6/30 + l**4/6 - 9*l**2. Suppose o(s) = 0. Calculate s.
-1, 0, 1
Let t be 2 + (-24)/(4/(-2)). Suppose 16 + t = 2*f. Factor -f*o + 8*o**2 + 36*o + 7*o**2 + 6.
3*(o + 1)*(5*o + 2)
Let p(n) be the third derivative of -n**8/1008 - n**7/180 - n**6/720 + 7*n**5/360 + n**4/48 - 37*n**2. Find u such that p(u) = 0.
-3, -1, -1/2, 0, 1
Let x(w) be the second derivative of 5/21*w**3 - 6*w + 2/21*w**4 + 1/70*w**5 + 2/7*w**2 + 0. Factor x(z).
2*(z + 1)**2*(z + 2)/7
What is x in -3/8*x**3 - 3/4*x**2 + 7/2*x - 3 + 1/8*x**4 = 0?
-3, 2
Let c(p) be the first derivative of -1 + 1/3*p**2 + 2/3*p**3 + 0*p + 1/3*p**4. Factor c(h).
2*h*(h + 1)*(2*h + 1)/3
Let n = -2 - -4. Factor 2/5*i**3 + 8/5*i**n + 2*i + 4/5.
2*(i + 1)**2*(i + 2)/5
Let d(k) be the second derivative of k**6/1080 - k**5/180 - 2*k**3/3 - 4*k. Let u(n) be the second derivative of d(n). Factor u(y).
y*(y - 2)/3
Suppose 3*d = -3*r - 6, -3*d + 8*d = 5*r + 40. Suppose -2*y - 2*z = -3*y - 2, 0 = -2*y - d*z + 17. Factor -2*n - y*n - 8*n**2 + 4*n.
-2*n*(4*n + 1)
Let x(n) be the second derivative of -2*n**5/25 + n**4/3 - 2*n**3/15 - 4*n**2/5 - n. Factor x(h).
-4*(h - 2)*(h - 1)*(2*h + 1)/5
Let c(s) be the second derivative of 9*s**7/14 + 3*s**6 + 15*s**5/4 - 2*s**3 - s. Let c(t) = 0. Calculate t.
-2, -1,