4 - w*o**5 + 0 + 0*o. What is s in u(s) = 0?
0, 1
Let v(k) be the third derivative of 4*k**5/45 - 5*k**4/36 - k**3/3 - 13*k**2. Factor v(c).
2*(c - 1)*(8*c + 3)/3
Let 26*p**3 + 0*p**3 + 7*p**4 + 7*p**2 - 15*p**2 = 0. What is p?
-4, 0, 2/7
Let k(p) = -p**3 - 8*p**2 - 8*p - 3. Suppose -26 - 9 = 5*s. Let z be k(s). Factor -z + 2 + i**2 + 1.
(i - 1)*(i + 1)
Let j(n) = -n**2 + 5*n - 2. Let d be j(4). Factor 29*b - 3*b**2 - b**d - 33*b.
-4*b*(b + 1)
Factor 3*k**4 + 0 + 1/3*k**2 + 0*k - 4/3*k**5 - 2*k**3.
-k**2*(k - 1)**2*(4*k - 1)/3
Let z(f) be the second derivative of 0*f**2 - 1/90*f**6 + 1/36*f**4 + 1/60*f**5 - 1/126*f**7 + 0*f**3 - 2*f + 0. Let z(g) = 0. Calculate g.
-1, 0, 1
Let b be (-21444)/154 - 2/11. Let n = 140 + b. Solve -n*h - 2/7*h**4 + 2/7 + 4/7*h**3 + 0*h**2 = 0 for h.
-1, 1
Let r = 25 + -25. Let w(v) be the first derivative of 0*v + 1/4*v**4 - 1/5*v**5 + 0*v**2 + r*v**3 + 1. Factor w(k).
-k**3*(k - 1)
Let v be ((-8)/10)/((-28)/70). Determine a so that 2*a**4 - 35*a**v - 24*a - 4 + 13*a**4 + 14*a**5 + 24*a**4 + 10*a**3 = 0.
-2, -1, -1/2, -2/7, 1
Let u(s) be the second derivative of -3*s**5/140 - 3*s**4/28 - 3*s**3/14 - 3*s**2/14 + 17*s. Suppose u(c) = 0. What is c?
-1
Let n be 16/40 - (-46)/(-120). Let r(l) be the third derivative of -1/3*l**3 + n*l**5 + 1/24*l**4 + 0*l + 0 + 2*l**2. Solve r(g) = 0.
-2, 1
Let r = 2 + 0. Let i = r + 0. Determine m, given that -m**4 + 3*m**3 - 3*m - 5 - m**5 + 2*m**2 + 4 + i*m - m**3 = 0.
-1, 1
Find f, given that 4*f**5 - 104*f**4 - 8*f**2 - 96*f**4 - 4*f**3 + 208*f**4 = 0.
-2, -1, 0, 1
Factor 60*v - 170*v**2 + 64*v + 17*v**3 + 8*v**3 - 4 - 20.
(v - 6)*(5*v - 2)**2
Factor -6*q - 3/2*q**2 - 6.
-3*(q + 2)**2/2
Find m such that 0 + 0*m - 2/3*m**2 - m**3 - 1/3*m**4 = 0.
-2, -1, 0
Let v = -1 + 3. Solve -6*g**2 - 3*g**v + 11*g**2 + 4 + 6*g = 0 for g.
-2, -1
Suppose -5*g + 34 = 2*a, -2*a - 3*g - 18 = -4*a. Let 8*l**3 + 0*l**4 + a*l**2 + 4*l + 4*l + 2*l**4 + 0*l**3 + 2 = 0. What is l?
-1
Suppose 2*f = -6 + 20. Let u(b) = -11*b**2 - 5*b - 8. Let o(g) = 5*g**2 + 3*g + 4. Let p(z) = f*o(z) + 3*u(z). Factor p(w).
2*(w + 1)*(w + 2)
Let n(r) be the first derivative of r**5/300 - r**4/60 + 2*r**2 + 5. Let p(q) be the second derivative of n(q). Let p(i) = 0. Calculate i.
0, 2
Let y = -1412 - -5689/4. Let l = y + -31/4. Determine n, given that l*n**3 - 1/4 + 1/4*n**5 - 5/4*n**4 - 5/2*n**2 + 5/4*n = 0.
1
Suppose k + p = -4*k + 12, -2*k + 6 = p. Let o(x) be the first derivative of 0*x + k - 2/5*x**5 + 2/3*x**3 - x**2 + 1/2*x**4. What is h in o(h) = 0?
-1, 0, 1
Let x be ((-1)/9)/(0 - (-4)/(-8)). Factor x*u**3 + 0 - 4/9*u**2 + 2/9*u.
2*u*(u - 1)**2/9
Let n(z) be the second derivative of -z**5/80 + z**4/24 + 7*z**3/24 + z**2/2 - 23*z. Factor n(y).
-(y - 4)*(y + 1)**2/4
Suppose 2 = k - 1, x + 5*k = 17. Let p = 0 + x. Let 2/5 + 2/5*a**p - 4/5*a = 0. What is a?
1
Let n = -242 + 2180/9. Determine x, given that -n*x**2 - 2/9*x + 0 = 0.
-1, 0
Let b = 25 + -21. Factor -3 + b*c**2 - 20*c + 0*c**3 + 0*c**2 + 4*c**3 + 15.
4*(c - 1)**2*(c + 3)
Let t(j) be the first derivative of -16/5*j + 1/5*j**4 - 4/3*j**3 + 5 + 16/5*j**2. Determine n so that t(n) = 0.
1, 2
Suppose -x - 5*g = -1 - 7, 2*x - 6 = -5*g. Let w be ((-66)/(-105))/(x/(-20)). Factor 16/7*h - 2/7 + 8*h**3 - 34/7*h**4 + 8/7*h**5 - w*h**2.
2*(h - 1)**4*(4*h - 1)/7
Let r(p) be the second derivative of -p**6/150 - p**5/100 + p**4/60 + p**3/30 + 3*p. Find z such that r(z) = 0.
-1, 0, 1
Solve -21*t**2 - 7*t**2 + 132*t - 8 + 19 + 29 = 0 for t.
-2/7, 5
Let j(u) be the first derivative of u**6/60 - u**2 + 2*u - 2. Let n(c) be the first derivative of j(c). Let b(l) be the first derivative of n(l). Factor b(g).
2*g**3
Let v = 13 - 9. Let s(t) be the third derivative of 1/9*t**3 + 0*t + 0*t**5 + 1/90*t**6 + 0 - 1/315*t**7 - t**2 - 1/18*t**v. Let s(r) = 0. What is r?
-1, 1
Suppose -4*n + b = 2*b + 19, 5*b - 5 = 0. Let t be ((-3)/(-6))/(n/(-30)). Factor 0*u + 1/2*u**5 + 0 + 1/2*u**4 - 1/2*u**t - 1/2*u**2.
u**2*(u - 1)*(u + 1)**2/2
Let r be -1*10/(-15)*6/8. Factor 3/2*t + r + 3/2*t**2 + 1/2*t**3.
(t + 1)**3/2
Suppose 3*n + 24 = 5*b + 4*n, 4*b - 4 = 3*n. Let z = b - -3. Factor 40*r - 16 - 49*r**2 + 13*r**2 - 2*r**4 + 7*r**3 + z*r**3.
-2*(r - 2)**3*(r - 1)
Let 40*d + 2*d**3 - 4*d**4 - 4*d**3 - 12*d**2 + 0*d**3 - 32 + 5*d**4 = 0. What is d?
-4, 2
Let o(r) be the second derivative of -1/20*r**4 + 1/10*r**3 - 3*r + 0 + 0*r**2. Factor o(b).
-3*b*(b - 1)/5
Factor -3/5*y**2 - 3/5 + 6/5*y.
-3*(y - 1)**2/5
Let a be -2 + 2 - (-26)/(-120). Let p = a - -359/180. Solve 2/3*i**3 + 8/9 - p*i + 2/9*i**2 = 0 for i.
-2, 2/3, 1
Suppose 4*g - 4*n - 15 = 9, 6 = 4*g + 2*n. Let k(j) = j**2 - j - 3. Let l be k(g). Find d, given that 15*d**3 + 3*d**3 + l*d**3 - 5*d**2 - d**2 = 0.
0, 2/7
Let n(a) be the first derivative of 1/3*a**3 + 0*a + 1/30*a**5 + 1/6*a**4 + 1/2*a**2 - 2. Let q(m) be the second derivative of n(m). Factor q(d).
2*(d + 1)**2
Factor 6/7*r + 3/7 + 3/7*r**2.
3*(r + 1)**2/7
Suppose -4*t + 20 = 2*q, -3*q = -3*t + 21 - 6. Let c(l) be the first derivative of -1 + 2/9*l**3 + q*l - 1/3*l**2. Solve c(n) = 0 for n.
0, 1
Let b(t) be the second derivative of -t**5/40 - t**4/8 + t**2 - 10*t. Factor b(m).
-(m - 1)*(m + 2)**2/2
Let b(w) be the third derivative of 2*w**7/105 + w**6/15 - w**4/3 - 2*w**3/3 - 2*w**2. Factor b(l).
4*(l - 1)*(l + 1)**3
Factor 1/3*x**4 + 8/3*x + 4*x**2 + 2*x**3 + 0.
x*(x + 2)**3/3
Find s such that -4*s**3 - 1 + 9*s - 18*s - 6*s**2 + 5*s - s**4 = 0.
-1
Let a(i) be the third derivative of 0*i - 1/30*i**5 + 0 - 1/12*i**4 + i**2 + 1/3*i**3 + 1/60*i**6. Solve a(j) = 0 for j.
-1, 1
Let 4*g + 23 + 14*g + 25 - 14*g**2 - 52 = 0. Calculate g.
2/7, 1
Let k = 41 + -35. Let r(l) be the third derivative of 1/15*l**5 + 0*l**4 - l**2 + 0*l**3 - 1/15*l**k + 1/70*l**7 + 0*l + 0. Factor r(i).
i**2*(i - 2)*(3*i - 2)
Suppose -2 = f + 6. Let b(k) = k + 18. Let g be b(f). Factor 2*r**2 + 0*r**2 - r - 5*r + g*r.
2*r*(r + 2)
Let -12 + 685*i - 3 - 5*i**2 - 665*i = 0. Calculate i.
1, 3
Let h(w) be the second derivative of 0 + 0*w**4 + 0*w**6 + 2*w + 1/42*w**7 - 1/10*w**5 + 1/6*w**3 + 0*w**2. Factor h(g).
g*(g - 1)**2*(g + 1)**2
Let w(h) be the third derivative of 5*h**8/672 + h**7/140 - 7*h**6/240 - h**5/40 + h**4/24 + 5*h**2. Let w(t) = 0. Calculate t.
-1, 0, 2/5, 1
Suppose 5*w - 4*w = -3*w. Let h(u) be the second derivative of -1/80*u**5 + w*u**4 + 1/24*u**3 + 0 + 2*u + 0*u**2. Find g such that h(g) = 0.
-1, 0, 1
Let y(l) = -l + 6. Let c = 8 + -2. Let f be y(c). Solve -4/3 + f*v - 1/3*v**3 + v**2 = 0.
-1, 2
Let m = 0 + 2. Factor 0*g**5 + 2*g**4 - 3*g**4 - m*g**2 + 3*g**4 + g - g**5.
-g*(g - 1)**3*(g + 1)
Let n = 40 + -38. Factor 0*v**n + 0 + 2/7*v**4 + 0*v - 2/7*v**3.
2*v**3*(v - 1)/7
Let f(h) be the third derivative of 0 + 0*h + 0*h**4 - h**2 + 1/480*h**5 - 1/2*h**3 + 1/1440*h**6. Let j(i) be the first derivative of f(i). Factor j(c).
c*(c + 1)/4
Let d(j) be the first derivative of -j**3/24 - j**2/4 - j/2 + 6. Find m, given that d(m) = 0.
-2
Suppose z = 3*p + 1, -4*p + 7*p = -3*z + 3. Let h be 14*(2 - (z - 0)). Factor -h*d**4 - 8*d**2 - 5*d**2 + 3*d + 4*d**2 + 9*d**3 + 11*d**4.
-3*d*(d - 1)**3
Let n(k) be the third derivative of k**5/120 + k**4/48 - k**3/6 - 2*k**2. Find t such that n(t) = 0.
-2, 1
Factor -28 - 35*i**2 + 36*i**3 + 70*i - 31*i**3 - 12.
5*(i - 4)*(i - 2)*(i - 1)
Let s(r) be the third derivative of r**7/1260 - r**6/120 + r**5/40 - r**4/36 - 14*r**2. Factor s(d).
d*(d - 4)*(d - 1)**2/6
Factor 3 - 4*g**2 - 8 + 8 + 1.
-4*(g - 1)*(g + 1)
Let r be 4/(8 - (5 - 3)). Find z such that -4/3*z**4 - z**5 - r + 4/3*z**3 + 2*z**2 - 1/3*z = 0.
-1, 2/3, 1
Let l(x) be the first derivative of 3 + 1/5*x**5 - 1/2*x**4 + 1/6*x**6 + x + 1/2*x**2 - 2/3*x**3. Determine g, given that l(g) = 0.
-1, 1
Let s be (-8 + 8)/((0 - 2)*1). Determine a so that -1/3*a**3 + 0 + s*a + 2/3*a**2 = 0.
0, 2
Let l = 485/14 + -69/2. Determine w so that -l*w - 2/7*w**2 - 1/7*w**3 + 0 = 0.
-1, 0
Let c = -8 - -11. Factor -14/9*v**2 - 2 - 10/3*v - 2/9*v**c.
-2*(v + 1)*(v + 3)**2/9
Let o(k) be the second derivative of 2*k**6/45 - 2*k**5/15 + 4*k**3/9 - 2*k**2/3 - 4*k. Determine r so that o(r) = 0.
-1, 1
Let i = -148067 - -45752915/309. Let t = -2/103 + i. Find y, given that -1/3*y**5 + t - 2/3*y**2 - y + 0*y**4 + 4/3*y**3 = 0.
-2, -1, 1
Let a(