3*a**4 + 2*a**p + 3*a**5 = 0.
-1, 0, 2/5
Let k(a) be the second derivative of -2*a**7/3 - 36*a**6/5 - 29*a**5 - 50*a**4 - 56*a**3/3 + 48*a**2 + 14*a. Determine z, given that k(z) = 0.
-3, -2, -1, 2/7
Suppose 144/5*r + 108/5 - 267/5*r**2 + 114/5*r**3 - 3*r**4 = 0. What is r?
-2/5, 2, 3
Let s(y) be the third derivative of y**7/105 + y**6/25 + 2*y**5/75 - 12*y**2. Factor s(b).
2*b**2*(b + 2)*(5*b + 2)/5
Suppose -8 = -14*w + 10*w. Let b(s) be the third derivative of -w*s**2 + 0 + 1/28*s**4 + 0*s + 1/70*s**5 + 1/420*s**6 + 1/21*s**3. Factor b(i).
2*(i + 1)**3/7
Suppose -3*d + 6 = 3*z, -2*d - 4*z = -7*d + 10. Suppose -2*p + 19 = 5*o + 7, -4*p = -2*o. Let -2*n**3 + n**o - n**2 - d*n + 4*n**2 = 0. Calculate n.
0, 1
Let j(d) = -10*d**4 + 5*d**3 + 40*d**2 + 5*d - 20. Let l(n) = 9*n**4 - 4*n**3 - 39*n**2 - 6*n + 20. Let y(f) = -6*j(f) - 5*l(f). Factor y(o).
5*(o - 2)*(o + 1)**2*(3*o - 2)
Let x(u) = -3*u**2 + 5*u - 2. Let h(k) = 25*k**2 - 41*k + 16. Let z = 87 - 138. Let l(v) = z*x(v) - 6*h(v). Factor l(j).
3*(j - 2)*(j - 1)
Let t(q) be the third derivative of -q**5/180 - 5*q**4/72 - q**3/3 + 27*q**2. Factor t(u).
-(u + 2)*(u + 3)/3
Let a(j) = j**3 - j**2 + j + 1. Let o(q) = q - 1. Let v be o(-5). Let f(p) = -2*p**4 + 4*p**3 + 8*p + 2. Let z(x) = v*a(x) + f(x). Factor z(w).
-2*(w - 1)**2*(w + 1)*(w + 2)
Factor 1/6 - 1/2*v**3 + 2/3*v**4 + 1/2*v - 5/6*v**2.
(v - 1)**2*(v + 1)*(4*v + 1)/6
Determine y, given that -y**4 - 2*y**4 - 12*y**2 - 27*y**2 - 18*y**3 - 36*y - 12 = 0.
-2, -1
Let v be ((-40)/(-15))/((-5)/(-3)). Find r such that -4/5*r**4 + 2*r - 4*r**3 + v*r**2 + 2*r**5 - 4/5 = 0.
-1, 2/5, 1
Factor 10/3*k**2 - 14/3*k - 2/3*k**3 + 2.
-2*(k - 3)*(k - 1)**2/3
Let o(l) = 22*l - 106. Let s be o(5). Let y(u) be the first derivative of 3/2*u**s + 28/3*u**3 + 3 + 16*u + 20*u**2. Determine c, given that y(c) = 0.
-2, -2/3
Let g(w) = -5*w**3 - 35*w**2 + 50*w - 15. Let r(z) = -7*z**3 - 36*z**2 + 51*z - 14. Let s(q) = -6*g(q) + 5*r(q). Factor s(m).
-5*(m - 4)*(m - 1)**2
Let h(w) be the third derivative of w**6/260 - w**5/30 + w**4/39 - 24*w**2. Factor h(a).
2*a*(a - 4)*(3*a - 1)/13
Let m(x) = 15*x**3 - 135*x**2 + 1152*x - 3063. Let q(d) = 7*d**3 - 68*d**2 + 576*d - 1532. Let g(v) = -4*m(v) + 9*q(v). Determine w so that g(w) = 0.
8
Let q = 0 + -4. Let t(u) = 3*u**2 + 7*u + 4. Let i(c) = -7*c**2 - 15*c - 9. Let a(w) = q*i(w) - 9*t(w). Factor a(v).
v*(v - 3)
Let t = -23039/96 - -240. Let m(h) be the third derivative of 0*h**3 - t*h**4 + 0 + 2*h**2 + 1/240*h**5 + 0*h. Let m(i) = 0. Calculate i.
0, 1
Suppose 0 = -4*i - 2*y - 1 + 23, -14 = -2*i - 2*y. Let a be (10/(-3))/(i/(-6)). Factor 1/2*v + 0*v**4 + 1/2*v**a + 0*v**2 + 0 - v**3.
v*(v - 1)**2*(v + 1)**2/2
Let j be 40/(-25)*(-50)/70. Suppose -q**3 - 5/7*q**5 + j - 26/7*q**2 + 12/7*q + 18/7*q**4 = 0. Calculate q.
-1, -2/5, 1, 2
Let x = 1 - -1. Let n be (1*4)/(0 + x). Factor -4*u**2 + 2*u**2 + 4*u**2 - n*u**3.
-2*u**2*(u - 1)
Let d(g) be the third derivative of -g**8/84 - 2*g**7/105 + g**6/30 + g**5/15 + 3*g**2. Determine q so that d(q) = 0.
-1, 0, 1
Let s(j) be the first derivative of -j**7/420 + j**5/40 + j**4/24 - j**2/2 - 6. Let i(w) be the second derivative of s(w). What is b in i(b) = 0?
-1, 0, 2
Factor -8/3 + 8/3*r - 2/3*r**2.
-2*(r - 2)**2/3
Solve 0*s + 4/5*s**3 + 0 - 4*s**2 = 0.
0, 5
Find o such that 2*o**3 - o + o**2 + 2 - o**3 - 3*o**2 + 0*o = 0.
-1, 1, 2
Suppose -5*b - 4*z + 1 = -6, -2 = z. Factor -x**b - 10*x**3 - 12*x**4 + 7*x**3 + 8*x**2.
-4*x**2*(x + 1)*(3*x - 2)
Let o(p) = 2*p + 54. Let r be o(-27). Let -2/7*y**2 + 2/7*y**3 + 0 + r*y = 0. Calculate y.
0, 1
Suppose -x = 5*l - 5, -3*l - 25 = -5*x - l. Suppose -3*v - 4*u + 23 = 0, u - 17 = -5*v + x*u. Factor v - 5 - p + p**2.
p*(p - 1)
Let c = -7 - -12. Let g(i) be the third derivative of 3*i**2 - 1/12*i**4 + 0*i + 0 + 1/30*i**c + 0*i**3. Determine y, given that g(y) = 0.
0, 1
Suppose -242/9*v - 2/9*v**3 + 44/9*v**2 + 0 = 0. Calculate v.
0, 11
Let c(z) be the first derivative of 4*z**3/27 + 5*z**2/9 + 2*z/3 + 7. Solve c(t) = 0.
-3/2, -1
Factor 0*q - 16/7*q**4 + 4/7*q**5 + 0 + 16/7*q**3 + 0*q**2.
4*q**3*(q - 2)**2/7
Let l be (-6)/4*(-1 - 1). Factor -4*s**2 - s + 4*s + 2*s**2 - 2*s - l*s**3.
-s*(s + 1)*(3*s - 1)
Solve -625*t**3 + 375/2*t**2 - 25*t + 5/4 + 3125/4*t**4 = 0 for t.
1/5
Let f(y) be the third derivative of -y**5/240 + y**3/6 - 19*y**2. Factor f(o).
-(o - 2)*(o + 2)/4
Suppose -2*u = -6*u + 16. Suppose -4*i + u*y + 20 = 0, -i - y + 0 + 3 = 0. Factor -5*o**3 + 2*o**i + o - o + 3*o**3.
2*o**3*(o - 1)
Let d = -13/17 - -73/51. Solve d + 2/3*l**2 - 4/3*l = 0.
1
Determine s so that -6*s + 6*s**2 - 27*s**4 + 6*s**4 + 7*s**2 + 8*s**2 + 6*s**3 = 0.
-1, 0, 2/7, 1
Let z = 539 - 2693/5. Factor -z*u**2 + 2/5*u + 0.
-2*u*(u - 1)/5
Let o(p) = -12*p - 3*p**2 - 17*p**3 + 13*p**3 - 6 - 3*p**2 - 4*p**2. Let d(v) = -v**3 - v**2 - v - 1. Let q(b) = -2*d(b) + o(b). Let q(n) = 0. Calculate n.
-2, -1
Let y(t) be the first derivative of -4*t**3/3 + 1. What is p in y(p) = 0?
0
Let a(h) = 2*h**4 + h**3 + 7*h**2 - 5*h + 5. Suppose 5*v - k = v + 9, 2*v = -4*k. Let b(r) = -r**4 - 3*r**2 + 2*r - 2. Let i(m) = v*a(m) + 5*b(m). Factor i(q).
-q**2*(q - 1)**2
Let w(o) = -o**2 - 2*o - 7. Let q be w(-5). Let y be q/77 - 11/(-14). Find l, given that -1/2*l**5 + 0 + 0*l**3 + y*l + l**4 - l**2 = 0.
-1, 0, 1
Let v(n) be the third derivative of n**8/336 - n**7/210 - n**6/120 + n**5/60 + 5*n**2. Determine o so that v(o) = 0.
-1, 0, 1
Let j(z) be the third derivative of -z**8/6720 - z**5/30 + z**2. Let k(d) be the third derivative of j(d). Factor k(c).
-3*c**2
Let b(g) be the first derivative of -g**6/39 - 2*g**5/65 + 2*g**4/13 + 8*g**3/39 - 5. Find k such that b(k) = 0.
-2, -1, 0, 2
Suppose 3*u = 10*u - 16*u. Solve 2/5*p**2 + 2/5*p**3 - 2/5*p**5 + u*p - 2/5*p**4 + 0 = 0.
-1, 0, 1
Determine n, given that 5 - 4 + 3*n**3 - n**4 - 1 - 4*n = 0.
-1, 0, 2
Suppose 2/7*v**4 + 16/7*v - 2/7*v**2 - 10/7*v**3 - 8/7 + 2/7*v**5 = 0. Calculate v.
-2, 1
Let z(p) = -4*p - 36. Let m(g) = -g - 9. Let x(v) = -9*m(v) + 2*z(v). Let f be x(-7). Find s such that 0 + 1/3*s**f + 1/3*s = 0.
-1, 0
Let l(k) be the second derivative of 2/9*k**3 + 0*k**2 - 1/9*k**4 - 7/12*k**5 + 3*k + 0. Determine s, given that l(s) = 0.
-2/5, 0, 2/7
Let m(b) be the third derivative of -b**6/120 + b**5/12 - b**4/3 + 2*b**3/3 - 9*b**2. Determine u so that m(u) = 0.
1, 2
Factor -2/5*s**5 + 2/5*s**3 + 0*s**2 + 0 + 0*s + 0*s**4.
-2*s**3*(s - 1)*(s + 1)/5
Let n(s) = -3*s**2 - 4*s + 2. Let m(b) be the third derivative of -b**5/60 - b**4/24 + b**3/6 + 3*b**2. Let a(f) = -2*m(f) + n(f). Factor a(y).
-y*(y + 2)
Suppose -5*a + 5*y = -5, 4*a - 16 = y - 3. Suppose a*t - 26 = -2*q - 10, 2*q - t = 6. Factor -3*k**5 - 6*k**4 + 3*k**4 + 18*k**5 - 6*k**q - 6*k**3.
3*k**3*(k - 1)*(5*k + 2)
Let m(u) = -u**5 + 19*u**4 - 21*u**3 + 16*u**2 - 7*u. Let b(v) = -20*v**4 + 20*v**3 - 16*v**2 + 8*v. Let n(y) = 3*b(y) + 4*m(y). Factor n(d).
-4*d*(d - 1)**4
Let f(v) = -v**4 - 6*v**3 - 4*v. Let r(p) = p**3 + p. Let z(w) = f(w) + 4*r(w). Find u such that z(u) = 0.
-2, 0
Let j be 0 - (2 - (1 - 0)). Let h = 1 - j. Determine k, given that k**2 + 0*k**h + 1 - 2*k + 4*k = 0.
-1
Solve 0*o**4 + 0*o + 1/3*o**5 + 0 + 2/3*o**2 - o**3 = 0.
-2, 0, 1
Let u(w) = w**3 - 22*w**2 + 36*w + 82. Let x be u(20). Determine d, given that -d**x - 6/7 - 23/7*d = 0.
-3, -2/7
Let f(b) be the first derivative of -2 + 1/6*b**3 + 0*b**2 + 1/5*b**5 - 5/12*b**4 + 3*b. Let a(x) be the first derivative of f(x). Find d, given that a(d) = 0.
0, 1/4, 1
Suppose -2*o = -4*l + 20, 3*l + 3*o = o + 1. Let u = 0 + l. Factor 3*w - w**u + 1 - 3 + 0*w.
-(w - 1)**2*(w + 2)
Let y = 8 + -3. Determine q, given that 8*q**5 + q**2 - 3*q**3 - 5*q**y - 2*q**4 + 2*q**2 - q**4 = 0.
-1, 0, 1
Let h = 21 + -104/5. Let l(z) be the first derivative of 0*z - 1/10*z**4 - 3 + h*z**2 + 2/15*z**3 - 2/25*z**5. Factor l(d).
-2*d*(d - 1)*(d + 1)**2/5
Factor -32*n + 74*n**5 - 8 - 68*n**5 + 12*n**4 - 14*n**3 - 2*n**4 - 42*n**2.
2*(n - 2)*(n + 1)**3*(3*n + 2)
Find h such that 6*h**2 - 8*h**2 - 8 - 16*h - 4*h**2 = 0.
-2, -2/3
Let n(p) = -2*p**3 + 7*p**2 + 2*p - 1. Let t(f) = -3 - 4*f**3 + 11*f**2 + 2*f**2 + 7*f - 3*f + 0*f. Let d(a) = 5*n(a) - 3*t(a). Solve d(k) = 0.
-1, 1, 2
What is p in 2/5*p**2 + 0 + 4/5*p = 0?
-2, 0
Let t(v) be the firs