4 + 0*a**3 + 0*a - 2/3*a**l.
2*a**2*(a - 1)*(a + 1)/3
Let n(x) = -2*x - 10. Let t be n(-5). Let g(o) be the second derivative of -1/9*o**4 + t + 1/3*o**2 + 2*o - 1/9*o**3. Factor g(a).
-2*(a + 1)*(2*a - 1)/3
Let l(q) = -3*q**2 + 57*q + 58. Let v(x) = x**2 + x - 1. Let y(j) = l(j) - 2*v(j). Factor y(m).
-5*(m - 12)*(m + 1)
Let l(m) be the second derivative of -3*m**5/100 - 3*m**4/10 - 6*m**3/5 - 12*m**2/5 + 3*m. Let l(z) = 0. Calculate z.
-2
Let l(v) be the third derivative of v**6/720 + v**5/36 + v**4/12 - 2*v**3 - 36*v**2. Let l(r) = 0. What is r?
-6, 2
Let h(b) = b**2 + 7*b - 4. Let d be h(-8). Factor -4*i - i + d*i + 3*i**3 + 3*i**2 - 5*i.
3*i*(i - 1)*(i + 2)
Let y(x) = 3*x**2 + 2*x - 1. Let c be y(2). Let o = c - 10. Let -2/11*i**2 + 0 + 0*i + 2/11*i**o - 2/11*i**3 + 2/11*i**4 = 0. Calculate i.
-1, 0, 1
Factor -4*r**3 - 2*r**3 - 12*r + 3*r**3 + 8 + 7*r**3.
4*(r - 1)**2*(r + 2)
Let g = -75059/90 + 834. Let h(i) be the third derivative of -1/9*i**3 + 1/18*i**4 - g*i**5 + 0 + 0*i - 3*i**2. Factor h(y).
-2*(y - 1)**2/3
Let k(z) be the second derivative of z**4/18 - z**3/3 + 2*z**2/3 - 32*z. Solve k(b) = 0 for b.
1, 2
Suppose 2 = 4*f - 2. Let k be 3/12 + f/(-20). Factor -k*l**2 - 1/5*l + 1/5*l**3 + 1/5.
(l - 1)**2*(l + 1)/5
Let r(a) = -a + 4. Let q be r(0). Suppose -27*y**q + 13*y**4 + 11*y**4 = 0. What is y?
0
Suppose -4*j - 3*z + 4 = -1, 4*z - 2 = -3*j. Find h, given that -3*h - 4 + h + 2*h**j + 0*h = 0.
-1, 2
Factor -33*f + 6 + 4*f**2 - 2*f**2 + 70*f - 29*f.
2*(f + 1)*(f + 3)
Suppose -58 + 2*s**2 + 0*s**2 + 74 + 16*s + 2*s**2 = 0. What is s?
-2
Determine p, given that 2*p**3 - 30 + 30*p**2 + 22*p - 7*p**3 - 11*p - 6*p = 0.
-1, 1, 6
Let u(r) be the first derivative of -r**3/6 - r**2 - 3*r/2 + 39. Find a such that u(a) = 0.
-3, -1
Let v(n) be the first derivative of n**4/2 - 8*n**3/3 + 3*n**2 - 12. Find i, given that v(i) = 0.
0, 1, 3
Let k(t) = 3*t**4 - 21*t**2 + 5*t + 3. Let f(n) = 20*n**4 - 136*n**2 + 32*n + 20. Let o = -51 + 19. Let h(z) = o*k(z) + 5*f(z). Solve h(i) = 0 for i.
-1, 1
Let l(d) = -d - 7. Let y be l(-11). Let t(g) be the second derivative of 0*g**2 + 0 - 1/24*g**3 + 3*g + 1/80*g**5 + 0*g**y. Factor t(r).
r*(r - 1)*(r + 1)/4
Let c(w) = 4*w**4 + 4*w**3 + 2*w**2 - 4*w - 2. Let d(s) = -5*s**4 - 4*s**3 - 3*s**2 + 4*s + 2. Let n(p) = 3*c(p) + 2*d(p). Factor n(x).
2*(x - 1)*(x + 1)**3
Factor 3/2*n + 1/4 + n**3 + 9/4*n**2.
(n + 1)**2*(4*n + 1)/4
Let p(y) = y**3 + 3*y**2 - y - 3. Let q be p(-2). Let l(s) be the third derivative of -1/108*s**4 + 0 + 0*s**q + 0*s + 1/540*s**6 + s**2 + 0*s**5. Factor l(i).
2*i*(i - 1)*(i + 1)/9
Let g(z) be the third derivative of z**7/42 + 5*z**6/24 + 2*z**5/3 + 5*z**4/6 - 24*z**2. Solve g(s) = 0.
-2, -1, 0
Let -3/5*q**3 + 3/5*q + 3/5*q**2 - 3/5 = 0. What is q?
-1, 1
Find s such that s**3 + 10*s**2 + 5*s - 7*s**4 + 1 + 12*s**4 + s**5 + 9*s**3 = 0.
-1
Suppose l - 3 + 22 = 0. Let q = l + 19. Factor q*v + 0 + 1/3*v**2.
v**2/3
Let p(x) be the third derivative of 1/30*x**6 - 3/56*x**8 + 0*x + 7/12*x**4 - x**2 - 1/3*x**3 - 7/15*x**5 + 0 + 1/7*x**7. Solve p(v) = 0 for v.
-1, 1/3, 1
Let l be 30/45 + 0/(-4). Suppose l - i + 1/3*i**2 = 0. Calculate i.
1, 2
Let a(b) be the first derivative of -b**6/60 - b**5/30 + b**4/12 + b**3/3 + 3*b**2/2 - 7. Let h(n) be the second derivative of a(n). Factor h(q).
-2*(q - 1)*(q + 1)**2
Let z = -12 + 17. Suppose 5*v + x = z*x, 3*x - 15 = 0. Determine y so that -1 + 9*y**4 - 7*y**2 + 5*y + 0*y**3 + y**5 - 5*y**5 - y**v - y**3 = 0.
-1, 1/2, 1
Let q = 353/119 - 31/17. Find t, given that 0 + 32/7*t**2 + 18/7*t**4 + 6*t**3 + q*t = 0.
-1, -2/3, 0
Let z be (56/12)/14*(-18)/(-3). Factor 12/11*t + 2/11*t**z + 18/11.
2*(t + 3)**2/11
Let o = -53143 + 2072686/39. Let a = -5/39 + o. Factor 2/3*p**3 + 10/3*p + 4/3 + a*p**2.
2*(p + 1)**2*(p + 2)/3
Let d = 491/2 + -245. Factor -6*l - 32*l**3 - d - 24*l**2.
-(4*l + 1)**3/2
Let b(a) be the third derivative of 0*a + 0 + 1/1008*a**8 - 1/180*a**6 - 3*a**2 + 1/72*a**4 - 1/18*a**3 - 1/630*a**7 + 1/90*a**5. Factor b(f).
(f - 1)**3*(f + 1)**2/3
Let g be (12/(-16))/((-1)/4). Factor 0 + 3*y**2 - 6*y**g + 0 - 11*y**4 + 14*y**4.
3*y**2*(y - 1)**2
Let x(u) = u**3 - u**2 - u + 2. Let j be x(2). Let r(q) be the second derivative of 1/40*q**5 - 2*q + 1/8*q**j + 1/4*q**3 + 0 + 1/4*q**2. Solve r(o) = 0.
-1
Factor -8/7 - 1/7*s**3 - 6/7*s**2 - 12/7*s.
-(s + 2)**3/7
Determine n, given that 0 + 0*n + 1/4*n**4 - 1/4*n**2 - 1/4*n**5 + 1/4*n**3 = 0.
-1, 0, 1
Let i(n) = 2*n**2 - 4*n - 5. Let t(h) = 2*h**2 - 4*h - 4. Let c = 9 - 2. Let b(f) = c*t(f) - 6*i(f). Factor b(l).
2*(l - 1)**2
Let w(p) be the first derivative of 4*p**5/25 + p**4/5 - 4*p**3/15 - 2*p**2/5 - 25. Factor w(x).
4*x*(x - 1)*(x + 1)**2/5
Let n be 2/1 - 0/((-9)/(-3)). Factor -2/7 - 2/7*c**3 - 6/7*c - 6/7*c**n.
-2*(c + 1)**3/7
Determine p, given that -76 - 2*p**2 + 4*p**2 + 8*p + 82 = 0.
-3, -1
Determine u, given that 0*u - 112/3*u**3 - 16/3*u**2 - 196/3*u**4 + 0 = 0.
-2/7, 0
Let y(j) be the second derivative of -j**4/20 - 4*j**3/5 - 18*j**2/5 - 2*j + 9. Let y(x) = 0. What is x?
-6, -2
Let k(r) be the third derivative of 1/60*r**5 + 1/210*r**7 + 0*r + 0 + 0*r**4 + 1/60*r**6 - r**2 + 0*r**3. Find h such that k(h) = 0.
-1, 0
Let f(h) = 4*h - 4*h - 2*h - 8. Let q be f(-6). Solve -2*i**2 - i**4 - 3*i**4 + 6*i**q = 0 for i.
-1, 0, 1
Let a(z) be the first derivative of 0*z**2 + 0*z + 0*z**3 + 4/15*z**5 - 1 + 1/9*z**6 + 1/6*z**4. Factor a(h).
2*h**3*(h + 1)**2/3
Let f(m) = -3*m**4 - 11*m**3 - 18*m**2 - 5*m + 5. Let o(k) = 2*k**4 + 6*k**3 + 9*k**2 + 2*k - 3. Let u(h) = -3*f(h) - 5*o(h). Factor u(i).
-i*(i - 5)*(i + 1)**2
Factor -14*o - 6*o - 27*o**2 + 2*o - 3.
-3*(3*o + 1)**2
Solve 13*b + 0*b**2 + 3*b - 2*b**2 - 2*b = 0.
0, 7
Let p(g) be the first derivative of -3/4*g**4 - 1/10*g**6 + 9/20*g**5 + 0*g**2 - 3*g + 4 + 1/2*g**3. Let i(n) be the first derivative of p(n). Factor i(w).
-3*w*(w - 1)**3
Let d(h) be the second derivative of -h**6/120 + h**4/24 - h**2/8 + 5*h. Let d(o) = 0. What is o?
-1, 1
Suppose -4*s = -2*v - 22, 19 = v + 2*s + 2*s. Let w be (v + -2)*8/(-6). Determine g, given that 0*g**w - 4*g + 12*g - 12*g**4 - 22*g**3 + 8*g**2 + 18*g**5 = 0.
-2/3, 0, 1
Solve -1/7*t**2 + 0*t + 0 + 1/7*t**3 = 0.
0, 1
Let g = -7 - -10. Let k be ((-4)/2)/(1 - 2). Factor -6*j + k*j**3 - j**g + 5*j.
j*(j - 1)*(j + 1)
Let w(r) be the first derivative of 5*r**6/42 + 22*r**5/35 + r**4 + 8*r**3/21 + 3. Solve w(t) = 0 for t.
-2, -2/5, 0
Suppose 8/3*l + 0 - l**4 + 4*l**2 - 2/3*l**3 = 0. Calculate l.
-2, -2/3, 0, 2
Let i(l) = 9*l**4 - 9*l**3 + 3*l. Let n(x) = -x**3 + x**2 - x. Suppose -14*o + 9*o - 5 = 0. Let c(z) = o*i(z) - 3*n(z). What is s in c(s) = 0?
0, 1/3, 1
Let o be (-4)/6*9/(-15). Factor -o*q**2 + 3/5*q**3 + 0 + 0*q - 1/5*q**4.
-q**2*(q - 2)*(q - 1)/5
Let x(m) be the second derivative of m**7/1260 + m**6/1620 - m**5/180 - m**4/108 + m**3/6 - 3*m. Let h(q) be the second derivative of x(q). Factor h(p).
2*(p - 1)*(p + 1)*(3*p + 1)/9
Let x = -3 - -5. Solve -2*f**3 + 8*f**2 - 7*f**x + f**4 + 4*f**3 = 0.
-1, 0
Let i(n) be the first derivative of n**3/2 + 6*n**2 + 24*n + 9. Let i(t) = 0. What is t?
-4
Let v(m) = -m**4 + 9*m**3 - 26*m**2 + 40*m - 20. Let p(x) = -3*x**4 + 27*x**3 - 79*x**2 + 121*x - 61. Let h(n) = -4*p(n) + 11*v(n). Let h(s) = 0. What is s?
2, 3
Let r(d) be the second derivative of d**7/189 - d**6/135 - d**5/90 + d**4/54 - 7*d. Factor r(z).
2*z**2*(z - 1)**2*(z + 1)/9
Let y = 10 + -5. Let p(k) be the first derivative of 1/2*k**2 + 1/2*k + 0*k**3 + 2 - 1/10*k**y - 1/4*k**4. Let p(c) = 0. What is c?
-1, 1
Let r = 10 - -5. Factor -f**2 + 3 - r + 6*f + 3.
-(f - 3)**2
Let n(q) = -q**3 + 10*q**2 - 10*q + 12. Let s be n(9). Factor l + l**2 - l**2 - 5*l**2 + l**3 + s*l**2.
l*(l - 1)**2
Factor 6 - 8*s + 4*s - 3*s**2 + 2*s - s.
-3*(s - 1)*(s + 2)
Let r(v) be the third derivative of -v**7/70 - v**6/120 + 7*v**5/60 - 3*v**2. Let x(u) = 2*u**4 + u**3 - 4*u**2. Let i(c) = -3*r(c) - 5*x(c). Factor i(s).
-s**2*(s + 1)**2
Let q(v) = 3*v**4 - 15*v**3 + 15*v**2 + 12*v - 21. Let k(b) = -3*b**4 + 15*b**3 - 16*b**2 - 12*b + 22. Let g(o) = -3*k(o) - 2*q(o). Solve g(z) = 0 for z.
-1, 2
Let v(a) = -1 + 0 - a**2 + 0 + a. Let i(g) = 5*g**2 - 7*g + 8. Suppose f + 4*f - 30 = 0. Let o(y) = f*v(y) + i(y). Factor o(q).
-(q - 1)*(q + 2)
Suppos