 0 - q**2 - 1/4*q + q**4 = 0.
-1, -1/4, 0, 1
Let a = 59/77 + 1/11. Determine t, given that -a*t + 0 - 4/7*t**2 + 2/7*t**3 = 0.
-1, 0, 3
Let 5/8*s**2 - 1/4*s - 1/2*s**3 + 0 + 1/8*s**4 = 0. What is s?
0, 1, 2
Let r(j) = 46*j - 2*j**2 + 2 + 4*j**2 - 38*j. Let x(b) be the first derivative of -2*b**3/3 - 9*b**2/2 - 2*b + 1. Let t(p) = -5*r(p) - 4*x(p). Factor t(k).
-2*(k + 1)**2
Let l(h) be the first derivative of -h**4/102 - h**3/17 - 2*h**2/17 - 3*h - 10. Let n(b) be the first derivative of l(b). Suppose n(t) = 0. Calculate t.
-2, -1
Let v(n) be the third derivative of n**6/216 - 7*n**5/360 + n**4/36 - 2*n**3/3 - 4*n**2. Let i(d) be the first derivative of v(d). Find r, given that i(r) = 0.
2/5, 1
Factor -8/7 - 10/7*o**2 - 50/7*o**3 + 32/7*o.
-2*(o + 1)*(5*o - 2)**2/7
Let y be -2 + (-2 - -2) + -8. Let b(v) = 9*v**2 + 5*v - 4. Let g(q) = 28*q**2 + 16*q - 12. Let t(d) = y*b(d) + 3*g(d). Factor t(z).
-2*(z + 1)*(3*z - 2)
Let j(t) be the third derivative of 0*t + 0 + 1/15*t**5 + 0*t**3 + 9*t**2 - 1/6*t**4. Factor j(x).
4*x*(x - 1)
Let k = 5 - 3. Let 5*c**3 - k*c**3 + 7*c**2 + 2*c - 4*c**2 - 2*c**3 = 0. Calculate c.
-2, -1, 0
Suppose -23 = -10*c - 3. Factor 4*t**c + 7*t**4 + 0*t + 10*t**3 + 3/2*t**5 + 0.
t**2*(t + 2)**2*(3*t + 2)/2
Let f(y) = 2*y - 2. Let h be f(1). Factor -4*d**3 + 13*d + h*d - 48*d**2 + 19*d**3 + 75*d**4 - d.
3*d*(d + 1)*(5*d - 2)**2
Let w(c) be the second derivative of 0 + 0*c**3 - 1/50*c**6 - c - 3/10*c**2 + 1/10*c**4 + 0*c**5. Factor w(r).
-3*(r - 1)**2*(r + 1)**2/5
Let o(r) be the third derivative of r**8/20160 - r**7/1260 + r**6/180 - r**5/20 - 3*r**2. Let b(c) be the third derivative of o(c). Let b(k) = 0. Calculate k.
2
Let q(n) be the third derivative of 2*n**5/105 + n**4/7 + 3*n**3/7 + 12*n**2. What is l in q(l) = 0?
-3/2
Suppose 0*j + 4*c = 3*j + 12, 0 = 2*j - 4*c + 12. Let a(z) be the first derivative of 1/9*z**3 + 1 + 0*z**4 + j*z + 0*z**2 - 1/15*z**5. Factor a(t).
-t**2*(t - 1)*(t + 1)/3
Let a(m) = -m**2 + m. Let h(z) = 15*z**3 + 5*z**2 - 20*z. Let j(v) = 30*a(v) + h(v). Determine q, given that j(q) = 0.
0, 2/3, 1
Let b = 593 - 584. Factor -b - 1/3*k**3 - 9*k - 3*k**2.
-(k + 3)**3/3
Let r(y) be the first derivative of 4*y**3/7 - 10*y**2/7 + 8*y/7 + 13. Factor r(t).
4*(t - 1)*(3*t - 2)/7
Let o(v) be the first derivative of -v**6/2 - 7*v**5/5 - 5*v**4/4 - v**3/3 + 31. Factor o(q).
-q**2*(q + 1)**2*(3*q + 1)
Let w = 40 + -38. Let y(x) be the second derivative of 1/6*x**4 + 1/3*x**3 - 1/15*x**6 + 0*x**2 + w*x - 1/10*x**5 + 0. Factor y(s).
-2*s*(s - 1)*(s + 1)**2
Factor 4/9*h**3 + 2/9*h**4 - 8/9*h + 8/9 - 2/3*h**2.
2*(h - 1)**2*(h + 2)**2/9
Let x(k) be the first derivative of -3*k**5/10 - 5*k**4/4 - 2*k**3/3 + 2*k**2 + 10. Factor x(i).
-i*(i + 2)**2*(3*i - 2)/2
Let k(d) be the second derivative of -1/105*d**6 - 1/21*d**3 + 0 - d + 1/70*d**5 + 1/42*d**4 + 0*d**2. Solve k(r) = 0 for r.
-1, 0, 1
Let s(a) be the first derivative of -8*a**3/15 - a**2/5 - 16. Factor s(i).
-2*i*(4*i + 1)/5
Let w(o) be the third derivative of -o**5/30 + o**4/3 - 4*o**3/3 - o**2. Suppose w(h) = 0. What is h?
2
Let o = -5873/9 + 653. Factor 2/9*u - 2/9*u**3 - 4/9*u**2 + o.
-2*(u - 1)*(u + 1)*(u + 2)/9
Let t(y) be the second derivative of 0*y**4 - 1/3*y**3 + 4*y + 1/30*y**5 + 2/3*y**2 + 0. Factor t(v).
2*(v - 1)**2*(v + 2)/3
Let h(t) be the first derivative of 0*t**4 - 2/15*t**3 + 2/25*t**5 + 0*t**2 + 0*t - 3. Factor h(z).
2*z**2*(z - 1)*(z + 1)/5
Let a(m) be the third derivative of 0*m - 3*m**2 + 0*m**3 + 0 - 1/28*m**4 - 1/210*m**5. Factor a(n).
-2*n*(n + 3)/7
Let p(j) = -j**2 + j + 1. Let n(r) = -56*r**2 + 33*r - 3. Let a(y) = 2*n(y) - 2*p(y). Factor a(s).
-2*(5*s - 2)*(11*s - 2)
Suppose -3*t + 20 - 14 = 0. Let -5/2*l - 3/2*l**t - 1 = 0. What is l?
-1, -2/3
Let c(h) = 19*h**3 + 67*h**2 - 8*h - 34. Let g(z) = -10*z**3 - 34*z**2 + 4*z + 16. Let m(f) = -6*c(f) - 11*g(f). Find y such that m(y) = 0.
-7, -1, 1
Let q be ((-2)/(-8))/((-2)/(-6)). Let l = q - 5/12. Find o such that -1/3*o + l*o**2 - 1/3 + 1/3*o**3 = 0.
-1, 1
Suppose 432/13*n**3 + 36/13*n + 216/13*n**2 + 2/13 = 0. What is n?
-1/6
Let 4*f**3 - f - 2*f**2 - 3*f - 2*f**2 + 2*f**2 + 2*f**4 = 0. Calculate f.
-2, -1, 0, 1
Solve -40*d**2 + 2*d**3 + 86*d**2 - 42*d**2 = 0 for d.
-2, 0
Let h be ((-216)/550)/(28/(-80)). Let c = h + 6/77. Factor -4/5 - 2*m - c*m**2.
-2*(m + 1)*(3*m + 2)/5
Let j(f) be the first derivative of -f**8/1680 + f**7/840 + f**6/360 - f**5/120 + 2*f**3/3 - 1. Let s(x) be the third derivative of j(x). Factor s(d).
-d*(d - 1)**2*(d + 1)
Let y(k) be the third derivative of 5*k**5/72 + 5*k**4/24 + k**3/4 + 20*k**2. Factor y(u).
(5*u + 3)**2/6
Let r(q) = -q**4 + q**3 + q**2 - q - 1. Let x(k) = -8*k**4 + 8*k**2 - 4. Let l(a) = 4*r(a) - x(a). Factor l(i).
4*i*(i - 1)*(i + 1)**2
Let i(m) be the third derivative of m**9/3024 + m**8/1680 + 3*m**3/2 + 2*m**2. Let r(y) be the first derivative of i(y). Factor r(n).
n**4*(n + 1)
What is k in 3/5*k**3 + 0*k + 0 + 24/5*k**2 = 0?
-8, 0
Factor -121/4 - 1/4*k**2 - 11/2*k.
-(k + 11)**2/4
Let p(i) = 4*i**3 - i**2 - 2*i. Let j be p(2). Suppose -5*c + 0 + j = 3*f, f = -c + 6. What is s in 50*s**f + 2*s - 15*s - 8 - 19*s - 10*s**2 = 0?
-2/5, 1
Let g be (16/(-20))/(2/(-5)). Let u be (42/(-8))/(-7)*g. Factor -1/2 - 3/2*n**2 + 1/2*n**3 + u*n.
(n - 1)**3/2
Let m(o) = 6*o**4 + 18*o**3 + 25*o**2 - o. Let r = 12 - 17. Let f(c) = 4*c**4 + 12*c**3 + 17*c**2 - c. Let y(t) = r*m(t) + 7*f(t). Find d such that y(d) = 0.
-1, 0
Let b(q) = -4*q**5 - 14*q**4 - 29*q**3 - 31*q**2 - 14*q - 4. Let h(s) = s**5 - s**4 - s**3 + s**2 - s + 1. Let n(p) = b(p) + h(p). Let n(x) = 0. What is x?
-1
Let t(v) = -9*v**4 + 9*v**3 - 3*v**2 + 3*v - 6. Let x(d) = -17*d**4 + 18*d**3 - 7*d**2 + 6*d - 11. Let s(f) = 11*t(f) - 6*x(f). Suppose s(h) = 0. Calculate h.
0, 1
Let o(z) be the first derivative of 2*z**6/3 - 8*z**5/5 - z**4 + 8*z**3/3 + 8. Factor o(i).
4*i**2*(i - 2)*(i - 1)*(i + 1)
Let s(i) be the second derivative of -i**7/231 - i**6/55 - 3*i**5/110 - i**4/66 - i. Factor s(u).
-2*u**2*(u + 1)**3/11
Let u(r) be the third derivative of r**7/11340 + r**6/1080 + r**5/270 - r**4/12 + r**2. Let z(s) be the second derivative of u(s). Factor z(n).
2*(n + 1)*(n + 2)/9
Let y(j) be the second derivative of j**6/300 + j**5/50 + j**4/20 + j**3/15 + j**2/2 - 6*j. Let s(f) be the first derivative of y(f). Factor s(v).
2*(v + 1)**3/5
Let c = 143 - 713/5. Let 2/5*j**2 + 2/5*j**3 - 2/5*j**4 - c*j + 0 = 0. Calculate j.
-1, 0, 1
Let f(b) = 5*b**3 - 32*b**2 - 24*b. Let y(z) = -z**3 + 8*z**2 + 6*z. Let v(r) = -6*f(r) - 26*y(r). Factor v(k).
-4*k*(k + 1)*(k + 3)
Let f = 65 - 65. Let d(o) be the third derivative of -1/15*o**5 + 0*o**4 + 0*o + 0 - 4*o**2 + 1/20*o**6 + f*o**3. Factor d(m).
2*m**2*(3*m - 2)
Let y(r) = 21*r**4 + 3*r**3 - 24*r**2 + 13*r - 13. Let g(x) = -10*x**4 - 2*x**3 + 12*x**2 - 6*x + 6. Let d(k) = 13*g(k) + 6*y(k). Factor d(b).
-4*b**2*(b - 1)*(b + 3)
Let c(g) be the third derivative of -g**6/540 + g**2. Factor c(p).
-2*p**3/9
Suppose 0 = -2*l + 3*x - 20, 6*x - x - 40 = 5*l. Let g = l + 6. Factor i**3 - i**4 + i**5 + i**2 - g*i**3 + 0*i**3.
i**2*(i - 1)**2*(i + 1)
Let j(n) be the first derivative of -n**5/20 - n**4/12 + n**3/3 + 8*n - 7. Let x(y) be the first derivative of j(y). Let x(k) = 0. Calculate k.
-2, 0, 1
Let m(s) = -7*s**3 + 17*s**2 - 7*s - 6. Let v(y) = 8*y**3 - 18*y**2 + 8*y + 6. Let u(f) = -4*m(f) - 3*v(f). Factor u(b).
2*(b - 3)*(b - 1)*(2*b + 1)
Suppose -2 = 23*z - 24*z. Factor -3/5*i**z + 1/5*i**4 + 2/5*i + 0*i**3 + 0.
i*(i - 1)**2*(i + 2)/5
Let t(v) = 10*v**5 - 6*v**4 - 16*v**3 + 12*v - 12. Let y(j) = j**5 - j**4 - j**3 + j - 1. Let x(f) = -t(f) + 12*y(f). Solve x(o) = 0 for o.
0, 1, 2
Let k(d) be the second derivative of -d**7/1575 + d**6/360 - d**5/300 - d**4/6 - 2*d. Let g(j) be the third derivative of k(j). Find i such that g(i) = 0.
1/4, 1
Let u(k) be the second derivative of k**4/12 - k**3 - 2*k - 5. Determine a, given that u(a) = 0.
0, 6
Let i = -37/24 - -5/3. Let n(x) be the second derivative of i*x**2 + 343/20*x**5 + 2401/120*x**6 + 0 + 7/6*x**3 + 49/8*x**4 - x. Factor n(z).
(7*z + 1)**4/4
Solve 2*f**2 - 1 + 3/2*f**3 - 1/2*f = 0.
-1, 2/3
Let -8/3*h + 8/3 + 2/3*h**2 = 0. Calculate h.
2
Suppose -q + 0*q + 3 = 0. Factor 4*c**2 + 2*c**3 + 2*c**3 + 0*c**3 - q*c**4.
-c