 third derivative of s**5/30 + s**4/6 + s**3/3 - 3*s**2. Factor n(j).
2*(j + 1)**2
Let l(z) = 225*z**4 + 150*z**3 + 25*z**2 - 11*z. Let p(t) = 45*t**4 + 30*t**3 + 5*t**2 - 2*t. Let v(k) = -2*l(k) + 11*p(k). Factor v(w).
5*w**2*(3*w + 1)**2
Suppose -3*w = i + 2, -2*i + 0 = w - 6. Find a, given that 2*a**2 + 0 - 3*a**3 + 2*a**i - 1/2*a**5 - 1/2*a = 0.
0, 1
Let -6*c - 4 + 2*c + 0*c - c**2 + 0*c = 0. Calculate c.
-2
Let i(v) be the second derivative of v**5/120 + v**4/48 + 5*v**2/2 + 5*v. Let z(d) be the first derivative of i(d). Factor z(x).
x*(x + 1)/2
Let j(i) be the third derivative of -6*i**2 - 3/40*i**6 + 0*i + 1/14*i**7 - 7/20*i**5 + 0 + 3/8*i**4 + i**3. What is w in j(w) = 0?
-1, -2/5, 1
Let a be (3 - 18)*(-2)/6. Determine f so that -a*f**2 + 0 + 2 + 0 - 3*f = 0.
-1, 2/5
Let f = 28 + -12. Let y be (f/40)/((-14)/(-30)). Determine v so that 2/7*v + 2/7 - 10/7*v**2 + y*v**3 = 0.
-1/3, 1
Let i = -83/5 - -17. Let w be (-2 - -6) + 18/(-5). Factor 0*c + 2/5*c**4 - 2/5*c**2 - w*c**5 + i*c**3 + 0.
-2*c**2*(c - 1)**2*(c + 1)/5
Let f(s) = s - 4. Let l be f(-3). Let m(j) = -3*j - 17. Let b be m(l). Solve 0 + b*u**2 - 2/3*u**3 - 6*u = 0.
0, 3
Let s(w) be the second derivative of -9*w**5/80 + 17*w**4/24 - 19*w**3/24 - 3*w**2/4 + 19*w. Factor s(j).
-(j - 3)*(j - 1)*(9*j + 2)/4
Suppose 11*c = -2*c - c. Let y(l) be the third derivative of 1/12*l**4 + 1/60*l**6 + 2*l**2 - 1/15*l**5 + c*l + 0 + 0*l**3. Factor y(m).
2*m*(m - 1)**2
Let a = -9 - -2. Let q(u) = u**3 + 8*u**2 + 6*u - 2. Let m be q(a). Suppose 8/7*j**m - 8/7*j**4 + 4/7*j**2 + 2/7*j - 6/7*j**3 + 0 = 0. Calculate j.
-1/2, 0, 1
Let d = 6/43 - 119/1161. Let j(g) be the second derivative of -7/54*g**4 + 0 + 1/10*g**5 + 1/189*g**7 + 2/27*g**3 - d*g**6 + 2*g + 0*g**2. Factor j(r).
2*r*(r - 2)*(r - 1)**3/9
Let t(w) be the third derivative of 1/120*w**5 + 0*w + 0*w**3 + 1/24*w**4 + w**2 + 0. Factor t(v).
v*(v + 2)/2
Let l be (-14)/18*(288/(-21))/12. Factor 8/9 + l*k + 2/9*k**2.
2*(k + 2)**2/9
Let u(n) be the second derivative of 1/9*n**3 + 0 - 1/15*n**5 + 5*n - 7/36*n**4 + 0*n**2. Factor u(i).
-i*(i + 2)*(4*i - 1)/3
Let b(f) = f**3 + 6*f**2 + 5*f + 5. Let s be b(-5). Suppose s*q - 2 + 4 = -u, 2*q - 13 = -5*u. Suppose 1/4*a**u + 1/4*a**2 - 1/4 - 1/4*a = 0. What is a?
-1, 1
Let 1 + 5*t + 25/4*t**2 = 0. What is t?
-2/5
Let t be 4/1 - 2 - 5/3. Determine d, given that 1/3*d + 0 + t*d**2 = 0.
-1, 0
Let b(x) be the second derivative of 7*x**5/80 + x**4/24 + 6*x. Factor b(z).
z**2*(7*z + 2)/4
Let b be -4*(-3 + (-20)/(-8)). Factor -3*g**2 - 2*g**5 + 3*g**2 + b*g**3 - 2*g**2 + 2*g**4.
-2*g**2*(g - 1)**2*(g + 1)
Let s be (5/((-75)/10))/((-16)/6). Factor 0*w + 0*w**3 - s*w**2 + 0 + 1/4*w**4.
w**2*(w - 1)*(w + 1)/4
Let n(r) be the second derivative of 5*r**4/12 + 10*r**3 + 90*r**2 + 10*r. Factor n(t).
5*(t + 6)**2
Let u(t) be the second derivative of t**7/63 + t**6/45 + t. Determine d so that u(d) = 0.
-1, 0
Let n(r) be the second derivative of -4*r**7/7 - 2*r**6 - 99*r**5/40 - 5*r**4/4 - r**3/4 - 4*r. Factor n(a).
-3*a*(a + 1)**2*(4*a + 1)**2/2
Let u(k) = -5*k - 56. Let j be u(-12). Factor 0*s**2 - 2/5*s**3 + 0*s + 2/5*s**j + 0.
2*s**3*(s - 1)/5
Find o such that 1/2*o**3 + 5/2*o + 2*o**2 + 1 = 0.
-2, -1
Let j(o) = -4*o**5 - 4*o**4 + 5*o**3 + 7*o**2 - 2*o - 2. Let x(q) = q**5 + q**4 + q**3 - q**2 - q - 1. Let t(w) = -j(w) - x(w). Factor t(p).
3*(p - 1)**2*(p + 1)**3
Let j(u) = 3*u**3 - u**2 - 2*u + 2. Let s(l) = -10*l**3 + 4*l**2 + 6*l - 7. Let o(z) = -7*j(z) - 2*s(z). Factor o(k).
-k*(k - 1)*(k + 2)
Let q(d) be the second derivative of -7*d**6/540 - d**5/36 + d**4/18 + 5*d**3/6 + 5*d. Let t(a) be the second derivative of q(a). Find w, given that t(w) = 0.
-1, 2/7
Factor -407*i**2 + 2 + 412*i**2 - 2.
5*i**2
Let r(c) be the first derivative of -1/18*c**6 + 1/2*c**2 + 1/5*c**5 - 1/6*c**4 - 1/3*c - 2/9*c**3 + 9. Factor r(x).
-(x - 1)**4*(x + 1)/3
Suppose -l = -5, -4*w - 35 = w - 4*l. Let j be (10/6)/((-1)/w). Factor 0*f**3 + 2/3*f - 4/3*f**2 + 4/3*f**4 + 0 - 2/3*f**j.
-2*f*(f - 1)**3*(f + 1)/3
Let y(k) = k**3 + 8*k**2 - k - 5. Let t be y(-8). Let g**2 + g + 2*g**2 - 3*g + g**2 - 2*g**t = 0. What is g?
0, 1
Let d(u) be the second derivative of 0 + 2/9*u**3 - 1/90*u**6 + 1/15*u**5 - 3*u - 1/6*u**4 - 1/6*u**2. Factor d(k).
-(k - 1)**4/3
Let p be 4 - 185/60 - 12/16. Factor p + 1/3*n + 1/6*n**2.
(n + 1)**2/6
Let t = 137 + -957/7. Solve 0 - 2/7*q + t*q**2 = 0 for q.
0, 1
Let a(h) be the first derivative of h**7/840 + h**6/60 + h**5/10 + h**4/3 - h**3/3 - 4. Let f(s) be the third derivative of a(s). Factor f(w).
(w + 2)**3
Let b(a) be the first derivative of -8/3*a**4 - a - a**2 + 2 + 8/3*a**3. Let s(o) be the first derivative of b(o). Factor s(v).
-2*(4*v - 1)**2
Let y be (1 - 1)*(4 - 35/10). Solve 0*j**2 + 1/2*j**5 + y*j + 0 - j**4 + 1/2*j**3 = 0.
0, 1
Find j, given that -162*j**4 - 169*j**3 - 8*j - 80*j**2 + 51*j**3 - 116*j**3 = 0.
-1, -2/9, 0
Let o(q) be the first derivative of -q**4/12 - 5*q**3/9 - 4*q**2/3 - 4*q/3 + 6. Solve o(m) = 0.
-2, -1
Let o(x) be the first derivative of -3*x**4/4 - 2*x**3 - 3*x**2/2 + 7. Find q such that o(q) = 0.
-1, 0
Factor -6*t**3 + 23*t**2 - 22*t**2 + t**5 - t**4 + 5*t**3.
t**2*(t - 1)**2*(t + 1)
Let d be 6/(-1*2) - (-720)/168. Let g(b) be the second derivative of 1/70*b**5 + 27/7*b**2 + 0 + d*b**3 + 3/14*b**4 + b. Factor g(i).
2*(i + 3)**3/7
Let v(s) = -s**2 - 9*s - 2. Let t be v(-9). Let i be 2 + t + 2 + 2. Factor 0*a + 2*a + 1 + 0*a**i - 2*a**3 - a**4.
-(a - 1)*(a + 1)**3
Let x(d) = 11*d**2 - 4*d + 9. Let f(n) = -4*n**2 + n - 3. Let a(s) = 7*f(s) + 2*x(s). Let k(w) = -7*w**2 - w - 4. Let b(q) = 6*a(q) - 5*k(q). Factor b(r).
-(r - 1)*(r + 2)
Let g(y) be the second derivative of y**4/12 - y**2/2 - 9*y. Factor g(o).
(o - 1)*(o + 1)
Let f be (-2)/(-12)*(-4 + 7). Factor -3/2*j - 3/2*j**2 - f*j**3 - 1/2.
-(j + 1)**3/2
Factor 0*x**2 + 0 - 1/2*x**5 + x**3 - 1/2*x + 0*x**4.
-x*(x - 1)**2*(x + 1)**2/2
Factor 8*i**3 + 15*i - 4*i**2 - 4*i**3 + 4*i**4 - 19*i.
4*i*(i - 1)*(i + 1)**2
Let t(b) be the first derivative of -2*b**3/3 - b**2 + 4*b - 1. Solve t(z) = 0.
-2, 1
Let d = 52 + -47. Let a(w) be the first derivative of -20/3*w**3 + 16*w + 8/5*w**d - 1/2*w**4 - 2 + 4*w**2 - 1/3*w**6. Let a(y) = 0. What is y?
-1, 2
Factor -56*r**3 - 16/5 - 112/5*r - 20*r**4 - 276/5*r**2.
-4*(r + 1)**2*(5*r + 2)**2/5
Let l(h) be the third derivative of -h**8/672 - h**7/105 - h**6/48 - h**5/60 + 5*h**2. Find z, given that l(z) = 0.
-2, -1, 0
Let c(i) be the second derivative of 1/16*i**5 - 1/16*i**4 + 3*i - 1/2*i**2 - 1/2*i**3 + 0. Factor c(l).
(l - 2)*(l + 1)*(5*l + 2)/4
Let m(d) = d - 8. Let f be m(5). Let s be (-2)/f + (-12)/(-9). Factor -s*h**3 + 2*h - 2*h.
-2*h**3
Let j be 0 - 2 - (-2 - -14). Let k be (-3)/3*j/2. Let b(x) = -3*x**2 - 13*x - 3. Let y(z) = -z**2 - 4*z - 1. Let f(g) = k*y(g) - 2*b(g). Factor f(s).
-(s + 1)**2
Let b(z) = 23*z**2 + 5*z - 32. Let r(a) = 22*a**2 + 5*a - 33. Let u(c) = -3*b(c) + 2*r(c). Factor u(d).
-5*(d - 1)*(5*d + 6)
Let d = 477 + -4285/9. Suppose -2/9*l**2 - 2/3 + d*l = 0. What is l?
1, 3
Solve 245*m**2 + 120*m + 440*m + 274 + 46 = 0.
-8/7
Let k(x) be the first derivative of -x**5/5 + 7*x**4/6 + 4*x**3 + x**2/2 - 5. Let f(v) be the second derivative of k(v). Factor f(a).
-4*(a - 3)*(3*a + 2)
Factor 18/7 - 1/7*f**2 + f.
-(f - 9)*(f + 2)/7
Let n = 2 - -2. Let z(h) be the first derivative of 0*h + 0*h**2 + 1/6*h**n + 2/9*h**3 + 1. Determine r, given that z(r) = 0.
-1, 0
Let o(u) = 19*u**2 - 134*u + 9. Let j be o(7). Suppose -1/6*m**j - 1/3 - 1/2*m = 0. Calculate m.
-2, -1
Let q(o) be the second derivative of o**6/45 + o**5/6 + 4*o**4/9 + 4*o**3/9 + 20*o. Determine i, given that q(i) = 0.
-2, -1, 0
Let u be 8/6*(-6)/(-4). What is s in -3*s**u + 3*s**2 + s - 5*s**2 - 3*s = 0?
-2/5, 0
Let d(x) be the third derivative of -x**8/504 - x**7/315 + x**6/180 + x**5/90 - 33*x**2. Factor d(v).
-2*v**2*(v - 1)*(v + 1)**2/3
Let d(s) be the first derivative of 0*s - 2/15*s**3 + 0*s**2 - 2 + 1/10*s**4. Suppose d(c) = 0. What is c?
0, 1
Let d(t) be the third derivative of t**6/30 + t**5/3 + 4*t**4/3 + 8*t**3/3 + 10*t**2. Factor d(a).
4*(a + 1)*(a + 2)**2
Let k be -4 + (-1 - (-6 + -4)). Let h be k*3/75*10. Solve 2/3*q + 2*q**4 - 2*q**h - 2/3*q**3 + 0 = 0 for q.
-1, 0, 1/3, 1
Find w, given that 0*w**2 + 0 -