4 - 1/7*v**5 + 0*v + 2/7*v**2 - 5/7*v**3 + 0 = 0. Calculate v.
0, 1, 2
Factor 0 + 2/3*i**5 + 4/3*i**2 + 0*i + 0*i**4 - 2*i**3.
2*i**2*(i - 1)**2*(i + 2)/3
Suppose -2*p + 4 = -p + 2*g, -2*g + 8 = 2*p. Suppose p*q = 4 + 20. Find v, given that 4*v**2 + 12*v**2 + 4*v**4 + 10*v**3 + q*v**3 = 0.
-2, 0
Find l, given that 3*l**5 - 17*l**3 + 75*l**2 + 69*l**4 + 25*l**3 - 155*l**3 = 0.
-25, 0, 1
Let h(l) be the third derivative of l**8/1512 + 8*l**7/945 + 13*l**6/540 - 13*l**5/135 - 16*l**4/27 - 32*l**3/27 - 164*l**2. Suppose h(v) = 0. What is v?
-4, -1, 2
Determine d so that 240*d + 41*d**3 + 4*d**4 + 212*d**2 - 453 - 555 - 113*d**3 = 0.
-2, 3, 14
Let h(s) be the first derivative of 2/15*s**5 - 8/3*s**3 + 14/3*s**2 + 1/3*s**4 + 11 - 10/3*s. Factor h(a).
2*(a - 1)**3*(a + 5)/3
Let c(b) be the first derivative of -b**6/72 + b**5/90 + 5*b**4/72 - b**3/9 - b**2/2 + 1. Let a(g) be the second derivative of c(g). Factor a(l).
-(l - 1)*(l + 1)*(5*l - 2)/3
Let o = 12697/74 + -3/37. Determine k so that -21/2*k**2 - 147/2*k - 1/2*k**3 - o = 0.
-7
Let h(z) = -z**3 + 2*z**2 + 5*z + 2. Let w be h(5). Let k be (w/(-28) - 2)*-2. Solve 0 - 2/7*g**2 + k*g = 0 for g.
0, 2
Let t be (75/6 - 8)*12/10. Let h(o) be the first derivative of 6/5*o**3 - 1/10*o**4 - t*o**2 + 54/5*o - 2. Factor h(g).
-2*(g - 3)**3/5
Let v(d) = d**3 + 6*d**2 - 9*d + 1. Let f be v(-7). Suppose -x - f = -2*x + 3*n, 2*x - n = 5. Factor 1/6*r**4 - 1/6*r**2 + 1/6*r**3 + x - 1/6*r.
r*(r - 1)*(r + 1)**2/6
Let q(u) be the first derivative of 3*u**4/8 + 128*u**3/3 + 5375*u**2/4 - 1849*u + 519. Let q(r) = 0. What is r?
-43, 2/3
Let b = 31 + 3. Determine d so that -1 + 3*d - b*d**2 + 33*d**2 + 1 - 2*d**3 = 0.
-3/2, 0, 1
Let l(c) be the third derivative of 0*c**3 - 2/105*c**7 + 0*c + 9*c**2 + 0 + 1/5*c**6 + 4/3*c**4 - 4/5*c**5. Factor l(j).
-4*j*(j - 2)**3
Let m(w) be the second derivative of 5/4*w**4 + 7/20*w**5 + 6*w + 0 + 3/2*w**3 + 1/30*w**6 + 0*w**2. Factor m(s).
s*(s + 1)*(s + 3)**2
Let w(y) be the first derivative of 3/5*y**5 + 24*y**3 + 8 + 48*y + 6*y**4 + 48*y**2. Find u, given that w(u) = 0.
-2
Factor 26*b**3 + 105*b**2 + 11*b + 84*b + 30 + 19*b**3 + 6*b**4 - b**4.
5*(b + 1)**3*(b + 6)
Let h(w) be the second derivative of -w**7/420 - w**6/225 + 11*w**5/300 - w**4/30 - 3*w**3 + 15*w. Let b(q) be the second derivative of h(q). Factor b(i).
-2*(i - 1)*(i + 2)*(5*i - 1)/5
Suppose 8*s**3 - 18*s**3 - 27*s**2 - 2*s**3 - 6*s = 0. Calculate s.
-2, -1/4, 0
Let w = -13 + 3. Let g be (8/6)/(w/(-15)). Factor -1 + 2*r**g + 15*r**3 - 15*r**3 - r**4.
-(r - 1)**2*(r + 1)**2
Solve 195*f**2 + 4 + 169/2*f**3 + 54*f = 0.
-2, -2/13
Let q = 6682 - 6682. Let 1/3*h**2 + q - 2*h**3 - 1/3*h**4 + 2*h = 0. Calculate h.
-6, -1, 0, 1
Let o(h) = h**3 + 6*h**2 + 11*h + 8. Let s be o(-4). Let q be -4*(s/(-10))/((-12)/15). Factor 12/5*x + 3/5*x**q + 12/5.
3*(x + 2)**2/5
Let z(i) = i**2 - 15*i + 44. Let u be z(7). Let w be 1 + ((-8)/u)/(-1). Factor 0*y**2 + w*y**5 + 0 + 0*y**4 - 2/3*y**3 + 1/3*y.
y*(y - 1)**2*(y + 1)**2/3
Let d(i) be the second derivative of 0 + 4*i**2 + 0*i**4 + 2*i**3 - 8*i - 1/5*i**5. Factor d(h).
-4*(h - 2)*(h + 1)**2
Suppose 4*p = -3*k - 1 - 4, 2*p - 14 = 4*k. Let j be 2*((-4)/8 + p) + 3. Factor 0 - 4/5*q**3 + 0*q**j + 2/5*q + 2/5*q**5 + 0*q**2.
2*q*(q - 1)**2*(q + 1)**2/5
Let d(y) = -20*y**5 + 29*y**4. Let k(h) = 4*h**5 - 6*h**4. Suppose r = 3 - 1. Let l(s) = r*d(s) + 11*k(s). Suppose l(m) = 0. Calculate m.
0, 2
Factor 4/9 + 2/9*g - 2/9*g**2.
-2*(g - 2)*(g + 1)/9
Find d such that 6*d**3 - 72 - 615/2*d - 153/2*d**2 = 0.
-3, -1/4, 16
Factor 2/9*l**3 + 28/9*l**2 + 0 + 98/9*l.
2*l*(l + 7)**2/9
Let a(l) be the third derivative of 0*l**4 + 0*l - 7*l**2 + 1/270*l**6 - 1/135*l**5 + 0 + 0*l**3 + 1/630*l**7. What is n in a(n) = 0?
-2, 0, 2/3
Let k = 39 + -34. Let w = k - 3. Let n(c) = 15*c**2 + 67*c - 7. Let z(s) = 5*s**2 + 22*s - 2. Let h(i) = w*n(i) - 7*z(i). Factor h(t).
-5*t*(t + 4)
Let q be (-6)/(-4)*40/12. Let k(z) = 2*z - 6. Let t be k(q). Factor 3*d**3 - d**3 - d**t + 0*d**4 + 3*d**4.
2*d**3*(d + 1)
Let c(j) = -49*j + 54. Let m be c(1). Solve -2/11*q**2 - 8/11*q**m + 8/11*q**3 + 2/11*q**4 + 0 + 0*q = 0 for q.
-1, 0, 1/4, 1
Let b(u) be the first derivative of -10 - 2/5*u - 7/15*u**3 - 9/10*u**2. Factor b(x).
-(x + 1)*(7*x + 2)/5
Let u be 5 - (5 + -4) - (-4 + -2). Let w(n) = -3*n**3 - n**2. Let v be w(-1). Find f, given that 0*f**2 - 3*f**4 + 0*f**2 + u*f**3 - f**v - 2*f**2 = 0.
0, 1/3, 3
Let t(b) be the second derivative of b**6/90 - 7*b**5/60 + b**4/2 - 10*b**3/9 + 4*b**2/3 + 8*b + 2. Suppose t(n) = 0. Calculate n.
1, 2
Let k(d) be the third derivative of 5*d**8/336 - d**7/42 - 5*d**6/24 - d**5/4 - 2*d**2 - 11. Find w, given that k(w) = 0.
-1, 0, 3
Let h = 8 + -3. Suppose -6 = -u + v - 1, -5*v + h = u. Solve 4 + 3*i + 3*i**2 + 9*i + u + 0*i**2 = 0 for i.
-3, -1
Let f = 25 + -54. Let o = -23 - f. Determine q, given that 4*q**5 + 6*q**2 + 3*q + 0 - q**5 - 3*q**4 - o*q**3 - 3 = 0.
-1, 1
Suppose -2*k + 2*v + 14 = -3*v, -5*k + 4*v = -18. Let y be 16/9 - (-6)/27. Factor -y*q**3 + q**2 - 2*q + q + q**k + q**3.
-q*(q - 1)**2
Let b = -225 + 362. Let n = b - 956/7. Factor 9/7*i - 6/7 - n*i**2.
-3*(i - 2)*(i - 1)/7
Let w(v) = v**3 - 33*v**2 + 151*v - 51. Let a be w(5). Find q such that 26/5*q**2 + 0 + 102/5*q**3 - 4/5*q + 38/5*q**5 + 22*q**a = 0.
-1, 0, 2/19
Suppose 2*q + 34 = -14. Let p(z) = 7*z**3 - z**2 + 5*z - 3. Let s(k) = -214 + k**3 + 0*k**3 + 214. Let y(j) = q*s(j) + 3*p(j). Factor y(t).
-3*(t - 1)**2*(t + 3)
Let m(k) = k**2 - k + 1. Let g(b) = 8*b**2 - 3*b + 3. Let s = 40 + -39. Let w(i) = s*g(i) - 3*m(i). Factor w(l).
5*l**2
Factor 5/2*z**2 - 75/2 + 35*z.
5*(z - 1)*(z + 15)/2
Let 2*l**3 - 1/3*l**5 + 0 + 0*l**2 + 0*l - 1/3*l**4 = 0. Calculate l.
-3, 0, 2
Determine w so that -26/3*w + 2/3*w**3 + 0 - 8*w**2 = 0.
-1, 0, 13
Let i = -754 + 6758/9. Let t = i - -34/9. Let t*b + 2/9*b**3 - 10/9*b**2 + 2 = 0. Calculate b.
-1, 3
Let f(q) = -q**3 + 8*q**2 - 6*q - 4. Let w be f(7). What is c in 3982*c**2 - 6*c**w + 3*c**4 - 3982*c**2 = 0?
0, 2
Let s(v) be the third derivative of -1/180*v**6 + 0*v + 0*v**4 + 0 - 21*v**2 - 1/180*v**5 - 1/630*v**7 + 0*v**3. Solve s(j) = 0.
-1, 0
Let u(a) be the first derivative of a**4/4 - a**3/3 - a**2/2 + 34. Let o(c) = 7*c**3 - 4*c**2 - 7*c - 2. Let x(q) = -o(q) + 6*u(q). Factor x(h).
-(h - 1)*(h + 1)*(h + 2)
Let k(h) be the third derivative of 27*h**7/14 + 213*h**6/2 + 4897*h**5/3 - 5680*h**4/3 + 2560*h**3/3 - 386*h**2. Factor k(c).
5*(c + 16)**2*(9*c - 2)**2
Let v(s) be the first derivative of 3*s**4/2 - 25*s**3/4 + 9*s**2/8 - 3. Determine b so that v(b) = 0.
0, 1/8, 3
Let z(t) = 3*t**4 - 63*t**3 - 291*t**2 - 243*t. Let o(v) = -4*v**4 + 64*v**3 + 290*v**2 + 243*v. Let p(s) = 6*o(s) + 7*z(s). Factor p(m).
-3*m*(m + 1)*(m + 9)**2
Let q(l) be the first derivative of l**4/4 + 11*l**3/3 + 19*l**2/2 + 11*l + 6. Let o be q(-9). Let 1 + 1/2*h**o + 3/2*h = 0. Calculate h.
-2, -1
Let r(t) be the second derivative of t**5/100 - t**4/30 - t**3/30 + t**2/5 - 87*t. Find z such that r(z) = 0.
-1, 1, 2
Let b(v) = -2*v - 1. Let t be b(-2). Suppose -2*a = t*k - 2 + 1, 3*a + 3*k - 3 = 0. Factor -4*p**2 + 3*p**2 + 0*p + a*p.
-p*(p - 2)
Let n be (6 - (-12)/(-4)) + 2. Suppose -3*w + n*p - 16 = 4, 3*w - 4 = -p. Determine q so that 0*q**2 + 4*q**2 - 4*q + w*q = 0.
0, 1
Factor 24/5*h + 0 - 8/5*h**3 - 94/5*h**2.
-2*h*(h + 12)*(4*h - 1)/5
Let w be 1 + (3/1 - 1). Let u(k) = -k - 5. Let v be u(-7). Suppose -21*p**3 - 2*p**4 - 64*p + 5*p**w - 47*p**v - p**2 - 32 = 0. What is p?
-2
Let n(l) be the first derivative of -l**3 + 21*l**2 + 96*l - 477. Factor n(p).
-3*(p - 16)*(p + 2)
Let z(g) = 4*g**2 + 6*g + 5. Let k be z(-4). Let w = -13 + 15. Determine i so that -2 + 46*i**w + 1 - k*i**2 = 0.
-1, 1
Let p = 18 - 4. Suppose 2*l = 0, -d + 7*l - 2*l = -2. Determine h so that -44*h**3 - p*h**2 - 16*h + 40*h**3 - 2*h**d = 0.
-2, 0
Let x(k) = -k + 6. Let r be x(7). Let p be r/(-3) + 44/12. Suppose -9*m + 2*m**p + 7*m - 3*m**2 - m**4 = 0. What is m?
-1, 0, 2
Suppose z - 4*m = 6*z - 104, -z = m - 20. Factor c**3 - 5*c**3 + 64 - z*c**2 - 36*c - 80.
-4*(c + 1)**2*(c + 4)
Let n(m) = -10*m**4 - 10*m**3 + 39*m**2 - 41*m. Let w(a) = -5*a**4 - 5*a**3 + 19*a**2 - 21*a. Let b(z) = 6*n(z) - 11*w(z). Factor b(g).
-5*g*(g - 1)**2*(g + 3)
Let 