l**3.
-3*l**3*(l + 1)
Let o(k) be the third derivative of k**6/120 + k**4/24 + k**3/3 - 2*k**2. Let i be o(0). Let -8 + 2*h - h + i*h + 5*h - 2*h**2 = 0. What is h?
2
Let j(o) = o - 1. Let q(m) = -3*m**2 + 18*m + 27. Let k(d) = -3*j(d) - q(d). Factor k(i).
3*(i - 8)*(i + 1)
Let x(g) be the third derivative of -g**8/168 - g**7/35 - 3*g**6/80 - g**5/60 + 11*g**2. Factor x(k).
-k**2*(k + 2)*(2*k + 1)**2/2
Let t(w) = -w**2 + 3*w. Let s be t(2). Suppose 3*g = -2*g + l + 12, -s*l - 2 = g. Factor 0*o**2 + 0*o**3 - 3*o**2 - 2*o**3 + g - 1.
-(o + 1)**2*(2*o - 1)
Let g be (((-24)/198)/((-4)/(-12)))/(-1). Let 0*f**2 - 6/11*f - g + 2/11*f**3 = 0. Calculate f.
-1, 2
Let v(h) be the third derivative of -h**6/40 - 3*h**5/20 - h**4/4 + 15*h**2. Find s, given that v(s) = 0.
-2, -1, 0
Let -10/9*v**2 + 8/9*v**3 - 2/9*v**4 + 0 + 4/9*v = 0. What is v?
0, 1, 2
Let p(t) be the third derivative of 5*t**9/4032 - t**8/336 + t**7/420 - 7*t**5/60 + 4*t**2. Let c(l) be the third derivative of p(l). Let c(d) = 0. What is d?
0, 2/5
Let f be (4/(-6))/((-12)/54). Determine z, given that -z**2 - 2*z**f - 3 + 3 + 2*z - z**2 + 2 = 0.
-1, 1
Let h(f) be the second derivative of -3*f**3 + 27/2*f**2 + 1/4*f**4 - f + 0. Factor h(r).
3*(r - 3)**2
Let w(z) = -z**2 + z + 42. Let j be w(0). Let u be 2/(-7) - (-26)/j. Factor -2/3*y - u*y**2 - 1/3.
-(y + 1)**2/3
Let a(i) be the first derivative of i**5/60 + i**4/24 - i**2 + 3. Let r(l) be the second derivative of a(l). Solve r(t) = 0 for t.
-1, 0
Factor 6/5*y + 1/5*y**2 + 9/5.
(y + 3)**2/5
Let u(y) be the first derivative of 1/10*y**5 + 0*y**4 - 1/6*y**3 + 0*y**2 + 0*y - 1. Suppose u(i) = 0. What is i?
-1, 0, 1
Let i be 10/(-2) - 31/(-6). Let y(k) be the third derivative of -k**2 + 0*k + 0 - i*k**3 - 1/16*k**4 - 1/120*k**5. Solve y(g) = 0.
-2, -1
Let j(m) = -m - 18. Let x be j(-15). Let k be 9/72*(-1 - x). Factor 0 + 1/4*o**3 + 0*o**2 - k*o.
o*(o - 1)*(o + 1)/4
Let -1/5*d**5 + 0 - 1/5*d**4 + 0*d + 1/5*d**2 + 1/5*d**3 = 0. What is d?
-1, 0, 1
Let u = -7 - -7. Let l(i) = i**2 + i + 5. Let z be l(u). Determine f, given that 4/5*f**3 + 0 + 2*f**z + 0*f + 0*f**2 + 14/5*f**4 = 0.
-1, -2/5, 0
Let y(l) be the second derivative of l**4/60 - 2*l**3/15 + 2*l**2/5 + 8*l. Suppose y(r) = 0. What is r?
2
Factor -8/5*k + 6/5*k**2 + 0 + 2/5*k**3.
2*k*(k - 1)*(k + 4)/5
Let f(v) be the first derivative of v**4/4 + v**3/3 - v**2 - 3. Factor f(n).
n*(n - 1)*(n + 2)
Let g(z) be the third derivative of -z**5/40 + z**4/4 - z**3 - 5*z**2. Factor g(b).
-3*(b - 2)**2/2
Let n(v) be the first derivative of -v**5/5 - 3*v**4/4 - v**3 - v**2/2 + 5. Factor n(q).
-q*(q + 1)**3
Let c be ((-144)/(-432))/((-2)/(-24)). Suppose -26/3*d + 10/3*d**2 - c = 0. Calculate d.
-2/5, 3
Factor -7 + d**3 - d**2 + 8 - 5*d - 3*d + 7*d.
(d - 1)**2*(d + 1)
Let c(a) be the third derivative of a**6/270 - a**5/30 - a**4/18 + 5*a**3/27 + 3*a**2 - 6*a. Factor c(b).
2*(b - 5)*(b + 1)*(2*b - 1)/9
Let t(s) = -12*s**5 + 14*s**4 + 6*s**3 + 2*s**2 - 18*s. Let x(u) = -u**5 + u**4 + u**2 - u. Let y(m) = 2*t(m) - 20*x(m). Solve y(d) = 0.
-1, 0, 2
Let z(p) be the third derivative of -p**6/8 + 19*p**5/20 - 11*p**4/8 - 3*p**3/2 + 12*p**2. Factor z(w).
-3*(w - 3)*(w - 1)*(5*w + 1)
Suppose -4*l + 8 = -0*l. Find b such that -l*b**2 + 5*b**3 + 0*b**3 - 2*b**4 - 2*b**2 + b**3 = 0.
0, 1, 2
Let g(f) be the third derivative of -f**7/350 + 3*f**6/100 - 13*f**5/100 + 3*f**4/10 - 2*f**3/5 + 6*f**2. Let g(v) = 0. Calculate v.
1, 2
Let b(q) = q**2 + 10*q - 7. Let c(a) = 2*a**2 + 29*a - 20. Let w be (-1)/(-4) + (-215)/(-20). Let l(g) = w*b(g) - 4*c(g). Factor l(y).
3*(y - 1)**2
Let z(s) be the first derivative of s**4 - 20*s**3/3 + 16*s**2 - 16*s - 1. Let z(k) = 0. Calculate k.
1, 2
What is l in -12*l + l**2 - 12 - 5*l**2 - 16 + 20 = 0?
-2, -1
Suppose -1/3*w**2 + w - 2/3 = 0. Calculate w.
1, 2
Solve 11 - 21*r**2 - 5 - 10*r - 5*r = 0 for r.
-1, 2/7
Let n(y) be the first derivative of -3*y**5/20 + 5*y**4/8 + y**3 + 4*y**2 - 8. Let o(r) be the second derivative of n(r). Factor o(v).
-3*(v - 2)*(3*v + 1)
What is f in 1/3*f**2 + 26/3*f + 169/3 = 0?
-13
Let x be (-2)/(-18)*-3 + 28/12. Solve 2/11*g**x + 4/11*g + 0 = 0.
-2, 0
Let o(n) = 4*n**4 + 4*n**3 + 3*n**2 + 3*n + 3. Let f(j) = j**4 + j**3 + j**2 + j + 1. Let m(i) = -3*f(i) + o(i). Factor m(v).
v**3*(v + 1)
Suppose 0 = -2*h - 6, 34*a - 29*a - 1 = -3*h. Factor -3/2 + 3/4*o**a - 3/4*o.
3*(o - 2)*(o + 1)/4
Let g(f) be the first derivative of f**8/336 - f**7/105 + f**6/120 + f**2/2 + 2. Let p(i) be the second derivative of g(i). Solve p(y) = 0 for y.
0, 1
Let l = 7 - -2. Determine t so that t - t + 12*t**3 - 3*t - l*t**3 = 0.
-1, 0, 1
Let x(g) = g**2 - 5*g + 10. Let f be x(7). Let m be 2/(-1) - f/(-10). Determine y, given that -2/5*y**3 - 6/5*y**2 - 6/5*y - m = 0.
-1
Let t(m) = m**2 + m - 1. Let p(r) = 11*r**2 + 3*r - 9. Let i(d) = 2*p(d) - 18*t(d). What is u in i(u) = 0?
0, 3
Let q = -20 - -30. Let j = -8 + q. Determine y so that 25*y**3 - 4*y**2 + 24*y + 20*y**2 + 4 + 29*y**j = 0.
-1, -2/5
Let k(p) = -211*p**2 + 36*p + 22. Let l(v) = -42*v**2 + 7*v + 4. Let x(m) = -2*k(m) + 11*l(m). Suppose x(j) = 0. Calculate j.
0, 1/8
Let h(l) be the third derivative of -1/60*l**5 - 1/4*l**4 + 2*l**2 + 0 + 0*l - 3/2*l**3. Find b such that h(b) = 0.
-3
Determine r so that 2/7*r**5 - 2*r**3 + 0*r + 8/7*r**2 + 4/7*r**4 + 0 = 0.
-4, 0, 1
Let z(s) be the second derivative of s**8/840 + s**7/140 + s**6/60 + s**5/60 + s**3/3 - s. Let y(r) be the second derivative of z(r). Factor y(m).
2*m*(m + 1)**3
Let i(y) = -3*y**3 - 3*y**2 + 9*y + 9. Let o(d) = -d - 1. Let b(c) = -i(c) - 6*o(c). Factor b(w).
3*(w - 1)*(w + 1)**2
Let g(p) be the third derivative of -p**6/180 - p**5/20 - p**4/6 + p**3/6 - 2*p**2. Let m(l) be the first derivative of g(l). Suppose m(n) = 0. Calculate n.
-2, -1
Let q be (-5)/(-10)*(6 - -2). Let 2*m**4 - m**5 - 4*m**2 + 4*m**3 + 2*m**q - 3*m**5 = 0. What is m?
-1, 0, 1
Let s(k) be the third derivative of -k**7/2520 + k**6/1080 + k**4/12 - k**2. Let p(w) be the second derivative of s(w). Determine v so that p(v) = 0.
0, 2/3
Let m(d) be the first derivative of -d**3 - 3*d**2/2 + 18*d + 16. Suppose m(g) = 0. Calculate g.
-3, 2
Let t(l) be the first derivative of -l**4/14 + 8*l**3/21 - 4*l**2/7 - 3. Factor t(a).
-2*a*(a - 2)**2/7
Let s(y) = -y**2 - 6*y - 3. Let t(w) = -w**2 - 7*w - 4. Let i(p) = -4*s(p) + 3*t(p). Factor i(u).
u*(u + 3)
Solve 18*z - 21 + 50 + 3*z**2 - 2 = 0.
-3
Let k = 207 - 1441/7. Suppose 2 = c + 5, 0 = 5*o - c - 18. Suppose -4/7*v + 10/7*v**2 - k*v**o + 2/7*v**4 + 0 = 0. Calculate v.
0, 1, 2
Let b(x) be the first derivative of -x**4/20 + x**3/15 + x**2/10 - x/5 + 3. Factor b(g).
-(g - 1)**2*(g + 1)/5
Suppose 0 = -4*j - 4*x, -3*j = -8*j - 2*x. Let t be j/(-2) - (-8)/20. Suppose 2/5 + 0*k - t*k**2 = 0. Calculate k.
-1, 1
Let b(z) = z**3 - 5*z**2 - 2*z + 12. Let a be b(5). Determine t so that 0*t + 0 + 1/3*t**3 - 1/3*t**4 + 2/3*t**a = 0.
-1, 0, 2
Suppose -4*x**4 + 16*x**3 + 8*x**5 - 15*x**2 - x**4 - 13*x**5 + 9*x**3 = 0. Calculate x.
-3, 0, 1
Let q be (-2)/4 + 10/4. Let z = -49/5 + 152/15. Find s such that 2/3 + 0*s**q - z*s**3 + s = 0.
-1, 2
Let a(r) be the second derivative of -r**5/5 - 3*r**4/4 - r**3 - r**2/2 - 7*r. Factor a(u).
-(u + 1)**2*(4*u + 1)
Suppose -d + 0*l + 2 = 5*l, -l = -2*d + 4. Factor -10*w**d + 3 + 2 - 5 - 4*w - 4*w**3.
-2*w*(w + 2)*(2*w + 1)
Solve 30/11*x - 14/11*x**2 + 2/11*x**3 - 18/11 = 0.
1, 3
Let j(q) be the second derivative of 1/4*q**5 - 2/15*q**6 + 0*q**2 + 0*q**3 - 1/12*q**4 + q + 0. Solve j(k) = 0 for k.
0, 1/4, 1
Let j(d) be the third derivative of -d**5/150 - d**4/20 + 4*d**3/15 - 2*d**2. Solve j(l) = 0 for l.
-4, 1
Let t(l) be the second derivative of -l**6/120 + l**5/20 - l**4/8 + 2*l**3/3 + 4*l. Let j(s) be the second derivative of t(s). Factor j(a).
-3*(a - 1)**2
Let d(i) = -i**3 + i**2 + i + 1. Let h(r) = 2*r**3 - 4*r**2 + 3*r + 1. Let m(s) = -4*d(s) + 4*h(s). Factor m(t).
4*t*(t - 1)*(3*t - 2)
Suppose -3*m + 5*h + 7 = 0, 4*m - 4*h = -2*h + 14. Suppose 7*d - 5*p = 2*d + 15, 5*p = 0. Solve 0*q + 9/2*q**m + 0 + 2*q**2 - 6*q**d = 0 for q.
0, 2/3
Let y(k) be the second derivative of 0*k**2 - 1/18*k**4 - 1/30*k**5 + 1/45*k**6 + 0 + 1/9*k**3 + 2*k. Find s such that y(s) = 0.
-1, 0, 1
Let w be (-45)/(-9)*(-4)/(-1). Suppose v = 6*v - w. F