first derivative of s**6/240 - s**5/40 + s**3/3 + s**2/2 - 6. Let t(l) be the second derivative of u(l). Factor t(z).
(z - 2)**2*(z + 1)/2
Solve 5/4*t**3 + 0 - t**2 - 1/4*t = 0 for t.
-1/5, 0, 1
Let t(g) be the first derivative of -4 + 1/6*g**2 + 1/36*g**4 + 1/9*g**3 - g. Let c(j) be the first derivative of t(j). Find z, given that c(z) = 0.
-1
Let c(h) be the second derivative of -h**6/45 + h**5/10 + h**4/6 - 7*h**3/9 - 2*h**2 + 2*h - 14. Suppose c(d) = 0. Calculate d.
-1, 2, 3
Factor -2/3*u**2 - 8/15 - 2/15*u**3 - 16/15*u.
-2*(u + 1)*(u + 2)**2/15
Let n(o) be the first derivative of -4*o**6/15 - 18*o**5/25 + o**4/5 + 6*o**3/5 + 2*o**2/5 - 6. Suppose n(g) = 0. Calculate g.
-2, -1, -1/4, 0, 1
Let p = 101/2 - 48. Let m = 4/33 + 157/66. Let -m*d - 1/2 + p*d**3 + 2*d**4 - 3/2*d**2 = 0. What is d?
-1, -1/4, 1
Let b(u) be the first derivative of -9/4*u**4 + 0*u**3 - 6/5*u**5 + 3/2*u**2 + 3 + 0*u. Factor b(s).
-3*s*(s + 1)**2*(2*s - 1)
Let b(g) = 6*g**2 + 12*g + 14. Let q(y) = -17*y**2 - 36*y - 43. Let u = 0 + -4. Let o(f) = u*q(f) - 11*b(f). Factor o(l).
2*(l + 3)**2
Let o(h) = -h**5 + h**4 + h**3 + h + 1. Let c(z) = 8*z**5 - 14*z**4 - 2*z**2 - 16*z - 12. Let t(n) = -c(n) - 12*o(n). Determine l so that t(l) = 0.
-2, -1/2, 0, 1
Let a be 0 + (-21)/(-14) + -1. Determine y, given that -a*y**3 - 1/2 - 3/2*y - 3/2*y**2 = 0.
-1
Suppose 0*h - h - 2*v = -2, v = 3*h + 1. Find l such that 2/7*l + 0 - 2/7*l**3 + h*l**2 = 0.
-1, 0, 1
Let p(q) be the second derivative of 0 + 0*q**2 - 1/75*q**6 - 2/15*q**3 + q + 1/25*q**5 + 1/30*q**4. Factor p(a).
-2*a*(a - 2)*(a - 1)*(a + 1)/5
Suppose -41 = 5*x + 4*r, 3*r = x + 5*r + 7. Let s = x - -14. Solve -3*d**2 - 4*d + s*d**2 + 6*d = 0.
-1, 0
Let o(n) be the first derivative of 0*n + 0*n**2 - 1 - 1/3*n**3 + 1/8*n**4. Factor o(c).
c**2*(c - 2)/2
Let m(d) be the first derivative of d**3/3 - 7*d**2 + 13*d - 1. Let v be m(13). Factor 0*x - 2/5*x**5 - 2/5*x**2 + 2/5*x**3 + v + 2/5*x**4.
-2*x**2*(x - 1)**2*(x + 1)/5
Factor 0 - 4/5*w + 22/5*w**3 - 18/5*w**2.
2*w*(w - 1)*(11*w + 2)/5
Factor 0*f + 0*f**2 + 0*f**3 + 4/3*f**4 - 4/3*f**5 + 0.
-4*f**4*(f - 1)/3
Let t = -172/321 + -1634/2675. Let m = -12/25 - t. Factor -m*f**2 - 4/3*f + 0.
-2*f*(f + 2)/3
Let j(w) = -3*w**3 - 6*w**2 - 6*w. Let h(l) = 2*l**3 + 6*l**2 + 5*l. Let i(n) = 6*h(n) + 5*j(n). Suppose i(k) = 0. What is k?
0, 2
Let s be 3/(-2) + 38/4. Find z, given that 4*z + 4*z - s*z + 3*z**4 + 3*z**5 = 0.
-1, 0
Solve -20/7*v**2 - 2/7 + 10/7*v + 20/7*v**3 + 2/7*v**5 - 10/7*v**4 = 0 for v.
1
Let -9*u**2 - 9 - 44*u + 3*u**2 + 6 - 11 = 0. Calculate u.
-7, -1/3
Let l(r) = 49*r**2 + 59*r + 13. Let m(d) = d - 1. Let s(x) = -l(x) + 3*m(x). Factor s(o).
-(7*o + 4)**2
Let s(d) = d**4 + 4*d**3 + d**2 - 2*d + 2. Let g(x) = x**4 + x**3 + 1. Let v(o) = 2*g(o) - s(o). Factor v(y).
y*(y - 2)*(y - 1)*(y + 1)
Let z(w) = w**2 + w + 4. Let k be z(0). Factor 0 + 3 - 1 - k*p**2 + 2*p**4.
2*(p - 1)**2*(p + 1)**2
Let v be 8 + -10 + ((-44)/(-10) - 2). Find i, given that 16/5*i + 32/5 + v*i**2 = 0.
-4
Suppose 0 + 0*t - 32/3*t**4 + 0*t**2 + 4/3*t**5 + 64/3*t**3 = 0. Calculate t.
0, 4
Let x(q) be the third derivative of -q**6/300 + 6*q**2. Factor x(z).
-2*z**3/5
Find t, given that -1/7 - 1/7*t**2 - 2/7*t = 0.
-1
Let r(k) be the third derivative of k**7/1260 + k**6/360 - k**5/360 - k**4/72 + 4*k**2. Let r(o) = 0. What is o?
-2, -1, 0, 1
Let h be 2/7 - 44/(-42). Suppose -34*o - 30 = -98. Factor 0*f + f**o - h - 1/3*f**3.
-(f - 2)**2*(f + 1)/3
Let f = -1 - -1. Suppose -6*c + c + 10 = 0. Factor 0*p**2 + f*p**c + p**2.
p**2
Factor -8*a**2 - 3*a + a + 3*a - 5*a.
-4*a*(2*a + 1)
Let v(o) be the first derivative of -2*o - 7/6*o**3 + 4 - 4*o**2. Factor v(l).
-(l + 2)*(7*l + 2)/2
Let a(k) = -k**3 - k. Let f(v) = 9*v**3 - 2*v**2 + 5*v. Let q(b) = -5*a(b) - f(b). Let q(m) = 0. Calculate m.
0, 1/2
Let g be ((-207)/92)/(66/(-16)). Suppose 2/11*t**4 + 0 + g*t**3 + 0*t + 4/11*t**2 = 0. Calculate t.
-2, -1, 0
Let h = -14 + 29. Factor 6 + h*m + 0*m + 7*m**3 + 12*m**2 - 4*m**3.
3*(m + 1)**2*(m + 2)
Let f(t) be the first derivative of 0*t**2 + 0*t - 1/15*t**5 - 1/9*t**3 + 5 + 1/6*t**4. Let f(k) = 0. What is k?
0, 1
Suppose -n + 18 = 3*a + 2*n, -5*n + 22 = a. Find k such that 8*k**4 + 22*k + 6*k + 0*k - 7*k**5 + 3*k**5 + 8*k**3 - 8 - 32*k**a = 0.
-2, 1
Suppose -16*s + 25 + 7 = 0. Let t(j) be the first derivative of -2/15*j**3 - 1/20*j**4 - 1/10*j**2 - s + 0*j. Factor t(c).
-c*(c + 1)**2/5
Factor -3/5*k**3 + 3/5*k + 12/5 - 12/5*k**2.
-3*(k - 1)*(k + 1)*(k + 4)/5
Let z = 1 + 1. Factor -w**2 - 2*w + z*w + w.
-w*(w - 1)
Let k be 6/4*(-11)/(-3). Let l = 2/77 - -73/154. Determine s, given that l*s + 25/2*s**4 + 35/2*s**3 + 0 + k*s**2 = 0.
-1, -1/5, 0
Let v(z) be the third derivative of z**6/120 + 19*z**5/420 + z**4/21 - 2*z**3/21 - 2*z**2. Factor v(i).
(i + 1)*(i + 2)*(7*i - 2)/7
Let g(l) be the third derivative of 1/270*l**5 - 1/108*l**6 + 0*l**4 + 0 + 8*l**2 + 0*l + 4/945*l**7 + 0*l**3. Factor g(m).
2*m**2*(m - 1)*(4*m - 1)/9
Let v = -7 + 11. Let q be (-1 - (-1 - 1)) + v. What is z in -3*z**3 - z**4 - 4*z**q - z**4 + 5*z**3 = 0?
-1, 0, 1/2
Let u(h) be the first derivative of h**5/10 - 7*h**4/24 + h**3/6 + h**2/4 - h/3 + 4. Factor u(l).
(l - 1)**3*(3*l + 2)/6
Suppose 11*m + 3 - 47 = 0. Solve -2/3 + 2/3*x**m - 4/3*x**3 + 4/3*x + 0*x**2 = 0 for x.
-1, 1
Let c(w) be the first derivative of 2/3*w**3 - 4*w**2 + 8*w + 3. Let c(n) = 0. Calculate n.
2
Let q(z) be the first derivative of -7*z**4/2 - 38*z**3/3 - 8*z**2 + 8*z + 13. Factor q(a).
-2*(a + 1)*(a + 2)*(7*a - 2)
Let w(i) be the second derivative of -1/42*i**4 + 0 + 1/21*i**3 + 0*i**2 - 4*i. Factor w(u).
-2*u*(u - 1)/7
Let b(k) be the third derivative of -k**5/15 - 13*k**4/12 - 2*k**3 - 2*k**2. Let b(m) = 0. What is m?
-6, -1/2
Let 3/5*g**2 + 12/5*g + 9/5 = 0. What is g?
-3, -1
Solve 6 - 18*g - 31*g + 34*g + 12*g**2 - 3*g**3 = 0.
1, 2
Let l(n) be the first derivative of -2*n**3/27 + 33. Factor l(a).
-2*a**2/9
Let w be -1 - 1*(-2 - -1). Suppose -2 + 2*q**2 + w*q**2 + 2*q + 0*q - 2*q**3 = 0. Calculate q.
-1, 1
Let i(z) be the second derivative of z**4/48 + z**3/24 - z**2/4 + 9*z. Find o such that i(o) = 0.
-2, 1
Suppose 2*w + 0*w = 8. Suppose 2*x + 6 = 5*l - 15, 4*x + w*l - 28 = 0. Determine q so that -13*q**3 + 6*q - 4*q**2 + x*q**5 + 0 + 4 + 5*q**3 = 0.
-1, 1, 2
Let n be (-2 + 160/75)*15/12. Factor 1/2*g**3 - n*g + 0 - 1/3*g**2.
g*(g - 1)*(3*g + 1)/6
Let f(g) be the first derivative of 5*g**6/24 + g**5/2 + 5*g**4/16 + 1. Factor f(t).
5*t**3*(t + 1)**2/4
Let o(a) = -6*a**3 + 9*a**2 + a - 5. Let p be 3 - ((-6)/(-2) + 2). Let g(k) = 3*k**3 - 5*k**2 + 2. Let u(b) = p*o(b) - 5*g(b). Factor u(c).
-c*(c - 2)*(3*c - 1)
Suppose 4*v - 4*k = -12, 0 = -0*k + 4*k - 8. Let n = v - -6. Let i(b) = 7*b**2 + 5*b - 7. Let p(w) = 8*w**2 + 6*w - 8. Let y(z) = n*p(z) - 6*i(z). Factor y(g).
-2*(g - 1)*(g + 1)
Let h(a) be the second derivative of -a**8/560 + a**6/120 + a**3 - 3*a. Let u(y) be the second derivative of h(y). Suppose u(t) = 0. What is t?
-1, 0, 1
Suppose 2*z = 4*r - 4, 0 = -5*z - 9*r + 4*r + 35. Suppose -z*b + b + 6 = 0. Solve -2/5*u**b - 2/5*u + 0 = 0.
-1, 0
Let k(t) be the first derivative of 2*t**3/33 + 2*t**2/11 + 2*t/11 + 13. Find p such that k(p) = 0.
-1
Let k(y) be the first derivative of -y**5/20 + y**4/16 + 7*y**3/12 - y**2/8 - 3*y/2 + 12. What is g in k(g) = 0?
-2, -1, 1, 3
Let w(f) be the third derivative of 2*f**2 + 1/462*f**8 + 1/33*f**3 + 0*f + 1/330*f**6 + 0 - 3/385*f**7 + 4/165*f**5 - 1/22*f**4. Suppose w(q) = 0. What is q?
-1, 1/4, 1
Suppose -16 = 3*z + 5. Let t(h) = h**3 + 8*h**2 + 7*h + 2. Let g be t(z). Suppose -7/3*v**3 + 0 - 2/3*v + 3*v**g = 0. Calculate v.
0, 2/7, 1
Let r(n) = -n**2 - 3*n + 13. Let p be r(2). Factor -2*f + 4/3*f**p + 4/3*f**2 + 2/3 + 2/3*f**5 - 2*f**4.
2*(f - 1)**4*(f + 1)/3
Let u be (1/(-2))/((-1)/(-12)). Let c(a) = 7*a**4 - 6*a**3. Let s(i) = 6*i**4 - 5*i**3. Let o(h) = u*s(h) + 5*c(h). Let o(g) = 0. What is g?
0
Suppose 0 = 2*x - 3*j - 14 + 5, 2 = -2*j. Find c, given that 0*c + 6*c + 1 + 2*c**x + 6*c**2 + 1 = 0.
-1
Factor 83 + 10*f**3 - 88 - 7*f - 3*f + 5*f**4.
5*(f - 1)*(f + 1)**3
Let q(t) = 66*t**2 - 183. Let a be 3*1*(-4)/(-6). Let d(z) = 5*z**2 - 14. Let m(s) = a*q(s) - 27*d(s). Factor m(x).
-3*(x - 2)*(x + 2)
Let q(b) be the second derivativ