 2/9*s**2.
-2*(s + 1)*(s + 7)/9
Let f be (-244)/168 + (-15)/(-10). Let l(h) be the first derivative of -4/35*h**5 - 1/7*h**2 + 4/21*h**3 + 0*h + f*h**6 + 0*h**4 - 2. Solve l(v) = 0.
-1, 0, 1
Let j(v) be the second derivative of -v**6/50 - 21*v**5/25 - 147*v**4/10 - 686*v**3/5 - 7203*v**2/10 - 9*v. Find k, given that j(k) = 0.
-7
Factor 0 + 3/2*y**4 - 3/2*y**3 + 0*y + 3/2*y**5 - 3/2*y**2.
3*y**2*(y - 1)*(y + 1)**2/2
Let j = -6 - -6. Find a such that -a**3 + 0*a + j*a + 3*a**3 = 0.
0
Let p(j) be the first derivative of -j**5/20 + j**3/2 - j**2 + 2*j - 3. Let v(a) be the first derivative of p(a). Find r such that v(r) = 0.
-2, 1
Let x be 5/((-30)/8)*(-21)/98. Determine c, given that 3/7*c**2 - 1/7*c - x = 0.
-2/3, 1
Suppose 6 + 2 = 2*t. Let h(x) be the first derivative of -3/4*x**4 - t + 0*x**3 + 9/2*x**2 - 6*x. Find b such that h(b) = 0.
-2, 1
Let j(v) be the second derivative of v**6/6 + v**5/2 - 5*v**4/12 - 5*v**3/3 - 33*v. Factor j(k).
5*k*(k - 1)*(k + 1)*(k + 2)
Find d such that 9*d**5 + 11*d**5 - 23*d**5 - 3*d**4 = 0.
-1, 0
Let i(y) be the first derivative of 3*y**5/25 - 3*y**4/10 - 3*y**3/5 + 6*y**2/5 + 12*y/5 - 7. Solve i(l) = 0 for l.
-1, 2
Let c = -29 + 31. Factor 3*x - 7/3*x**c - 2/3.
-(x - 1)*(7*x - 2)/3
Let u be (6/(-4))/((-1)/(-6)). Let v = -6 - u. Determine l, given that 196*l**v - 63*l**2 - 12*l + 2 + 0*l**2 + 2 = 0.
-1/4, 2/7
Let b(l) = 18*l**2 - 17*l - 6. Let z(h) = -45*h**2 + 42*h + 15. Let j(f) = -f + 2. Let y be j(-3). Let w(c) = y*z(c) + 12*b(c). Determine s so that w(s) = 0.
-1/3, 1
Let c(h) be the second derivative of 4/5*h**5 + 4*h - 2*h**2 + 17/3*h**3 + 16/15*h**6 - 13/2*h**4 + 0. Determine b so that c(b) = 0.
-2, 1/4, 1
Solve 104/3*w**3 + 0 - 16/3*w - 25/3*w**5 + 0*w**4 + 0*w**2 = 0 for w.
-2, -2/5, 0, 2/5, 2
Let g(t) be the third derivative of -t**7/1050 + t**6/600 + t**5/300 - t**4/120 - 12*t**2. Factor g(v).
-v*(v - 1)**2*(v + 1)/5
Let m(n) = -n**3 - 4*n**2 - 3*n - 10. Let q be m(-4). Let x be 8/(-6) + -1 + 3. Find o, given that -2/3*o + 4/3 - x*o**q = 0.
-2, 1
Suppose 26 = 2*j + 14. Let o(m) be the second derivative of -2/21*m**7 + 0*m**2 + 0*m**3 + 1/5*m**5 + 1/6*m**4 - 1/15*m**j + 3*m + 0. Find r such that o(r) = 0.
-1, -1/2, 0, 1
Let b(t) = 3 - 4*t**2 + t**3 + 0*t**2 - 2*t**2. Let m be b(6). Factor 6*h**4 - 6*h**m - 3*h**5 + 3*h**5 + 2*h**2 - 2*h**5.
-2*h**2*(h - 1)**3
Let c be (1 + 2)*20/120. What is b in -1/2 + c*b**2 + 0*b = 0?
-1, 1
Let m(d) be the first derivative of 5*d**4/2 - 2*d**3/9 - 2*d**2/3 - 13. Let m(f) = 0. What is f?
-1/3, 0, 2/5
Let l(i) be the second derivative of -i**7/3360 - i**6/1440 - i**3/3 + 4*i. Let b(m) be the second derivative of l(m). Factor b(u).
-u**2*(u + 1)/4
Solve p**4 - 4*p**4 + 5*p + 3*p**2 - 3*p**5 + 3*p**3 - 5*p = 0 for p.
-1, 0, 1
Let s(w) be the second derivative of w**5/10 - w**4/9 - w**3/3 + 2*w**2/3 - 7*w. Factor s(d).
2*(d - 1)*(d + 1)*(3*d - 2)/3
Let o(z) be the first derivative of -2*z**5/35 + 3*z**4/14 - 4*z**3/21 - 1. Factor o(w).
-2*w**2*(w - 2)*(w - 1)/7
Let w(x) be the first derivative of x**4/60 + x**3/30 - x**2/5 - 5*x - 4. Let d(n) be the first derivative of w(n). Factor d(l).
(l - 1)*(l + 2)/5
Let f(v) be the second derivative of 1/6*v**4 - 3*v + 2/3*v**3 + 0*v**2 + 0. Determine a, given that f(a) = 0.
-2, 0
Let c(i) be the third derivative of -i**8/336 + i**7/70 + i**6/60 - i**5/5 + i**4/3 + 6*i**2 + 2. Factor c(n).
-n*(n - 2)**2*(n - 1)*(n + 2)
Let q = -10 - -12. Let k(x) be the second derivative of 1/20*x**5 + 3*x + 1/6*x**3 + 1/6*x**4 + 0 + 0*x**q. Suppose k(d) = 0. Calculate d.
-1, 0
Let s(h) be the second derivative of -h**5/5 + 2*h**4/3 - 2*h**3/3 - 13*h + 2. Let s(g) = 0. Calculate g.
0, 1
Factor -27/2*f + 0 + 9*f**2 - 3/2*f**3.
-3*f*(f - 3)**2/2
Let l(z) be the second derivative of 1/15*z**5 + 0*z**2 - 9*z + 1/18*z**4 + 0*z**3 + 1/45*z**6 + 0. Factor l(s).
2*s**2*(s + 1)**2/3
Let j = -29 - -32. What is m in -1/2*m + 0 - 1/2*m**j + m**2 = 0?
0, 1
Let r(h) be the first derivative of 1/3*h + 4 + 49/9*h**3 - 7/3*h**2. Determine s so that r(s) = 0.
1/7
Let p(i) = i**2 + 2*i + 1. Let v be p(-3). Determine o so that 1 + o**2 + o**4 + 0*o**v + 0*o**4 - 3*o**2 = 0.
-1, 1
Let x(n) be the second derivative of -1/3*n**3 - 3*n + 0 - 5/6*n**4 + 1/10*n**5 + 1/5*n**6 + 2*n**2. Factor x(j).
2*(j - 1)*(j + 1)**2*(3*j - 2)
Let z(a) = a**3 + 1. Let o(d) = -91*d**3 + 72*d**2 - 21*d - 9. Let q(p) = -2*o(p) - 22*z(p). Factor q(h).
2*(4*h - 1)**2*(5*h - 2)
Let b(m) = 17*m**3 - 15*m**2 + 8*m - 5. Let v(a) = -21 - 60*a**2 + 20*a**3 + 49*a**3 + 7*a + 26*a. Let k(y) = 21*b(y) - 5*v(y). Find s, given that k(s) = 0.
0, 1/4, 1
Let z be 0 + 3 + (-36)/40*-2. Determine a so that 18/5*a**2 + z*a + 8/5 = 0.
-2/3
Let n(y) = -y**2 - 8*y + 9. Let w(k) = -k - 5. Let p be w(4). Let b be n(p). Solve b - 4/9*v + 2/9*v**2 = 0 for v.
0, 2
Suppose 9 = -2*q + 3. Let d be q/12*(3 + -4). Find u, given that 1/2*u**4 - d*u**5 + 0*u**3 - 1/2*u**2 + 1/4*u + 0 = 0.
-1, 0, 1
Solve -8*s + s**4 + s**2 + 18*s - 10*s + 2*s**3 = 0 for s.
-1, 0
Suppose 0*a = -a + 3. Let b be ((-6)/a)/(-1) - 2. Factor b - 2/7*y**2 + 0*y.
-2*y**2/7
Let i(s) be the second derivative of -s**4/36 - s**3/18 - s + 23. Solve i(n) = 0 for n.
-1, 0
Suppose 0*z**2 - 4/3*z + 0 + 1/3*z**3 = 0. What is z?
-2, 0, 2
Let n(z) = 12*z**2 + 18*z - 15. Let j be (3/9)/(4/36). Let t(y) = 23*y**2 + 37*y - 31. Let x(w) = j*t(w) - 5*n(w). Let x(p) = 0. Calculate p.
-3, 2/3
Suppose -4 = -o + 2. Let b be (o/(-4))/((-6)/8). Let 0*l + 2*l - l**3 + 6*l**3 + 0*l + 7*l**b = 0. What is l?
-1, -2/5, 0
Let l(d) be the first derivative of -d**5/20 - d**4/2 - 3*d**3/2 - 4*d**2 + 1. Let m(b) be the second derivative of l(b). What is f in m(f) = 0?
-3, -1
Determine n, given that 12/7*n**2 + 4/7*n**4 - 4/7*n + 0 - 12/7*n**3 = 0.
0, 1
Let n(w) be the first derivative of w**5/5 + w**4/4 - 5*w**3/3 + 3*w**2/2 - 3. Suppose n(z) = 0. Calculate z.
-3, 0, 1
Let i(u) be the third derivative of u**7/420 - u**6/240 + 12*u**2. Factor i(h).
h**3*(h - 1)/2
Let k be 0*((-6)/4 - (6 + -8)). Let k*i - 2/11*i**3 + 2/11*i**5 + 2/11*i**2 + 0 - 2/11*i**4 = 0. Calculate i.
-1, 0, 1
Let z(k) = k**4 + k**3 - k**2 + 1. Let r(y) = -6 + 5*y**2 + y**3 - 5*y**4 + 3*y**2 - 4*y**3. Let o = -9 - -8. Let b(s) = o*r(s) - 6*z(s). Factor b(p).
-p**2*(p + 1)*(p + 2)
Let t = 39/25 + -29/25. Determine j so that -2/5*j**4 + t*j**2 + 0 + 2/5*j**3 - 2/5*j = 0.
-1, 0, 1
Let r(n) be the first derivative of 5*n**4/4 + 5*n**3/3 + 55. Determine h so that r(h) = 0.
-1, 0
Suppose -56*g = -53*g. Factor 2/3*h**2 - 2/9*h**3 - 4/9*h + g.
-2*h*(h - 2)*(h - 1)/9
Suppose -d + 5*n - 14 + 36 = 0, -d = 5*n + 18. Let m = -2 + 4. Let 2*z**m + 3*z**d - 4*z**2 + z = 0. Calculate z.
-1, 0
Let m(a) = -20*a - 20. Let c be m(-1). Factor c*n - 4/9*n**2 - 2/9*n**3 + 0.
-2*n**2*(n + 2)/9
Let v(h) = h**2 - 6*h + 2. Let z be v(4). Let s be (-4)/(-5) - z/(-15). Find m, given that -s + 7/5*m**5 - 3/5*m - 4/5*m**3 + 14/5*m**2 - 12/5*m**4 = 0.
-1, -2/7, 1
Let h(w) be the third derivative of -5*w**8/336 + w**7/70 + 7*w**6/120 - w**5/20 - w**4/12 - 2*w**2. Let h(v) = 0. What is v?
-1, -2/5, 0, 1
Suppose 25 = -4*v + 4*t + 81, 3*v - 2*t = 46. Let k = 3 - 1. What is j in -20*j**3 + k*j**4 + 8*j + v*j**5 + 0 - 2 - 6*j**5 = 0?
-1, 1/3, 1/2, 1
Let i(a) be the second derivative of 0*a**2 + 1/63*a**7 + 1/10*a**5 + 0*a**3 - 2*a + 1/18*a**4 + 0 + 1/15*a**6. Factor i(c).
2*c**2*(c + 1)**3/3
Let l(y) be the second derivative of 0*y**2 + 1/6*y**4 + 0 + y - 1/3*y**3 + 1/10*y**5 - 1/15*y**6. Solve l(j) = 0 for j.
-1, 0, 1
Let w be (2 + 2)*(-3 + (-28)/(-8)). Factor 14/5*t**w + 2/5 - 6/5*t**3 - 2*t.
-2*(t - 1)**2*(3*t - 1)/5
Let r(f) be the third derivative of f**7/10 + 23*f**6/40 + 27*f**5/20 + 13*f**4/8 + f**3 - 27*f**2. Factor r(c).
3*(c + 1)**3*(7*c + 2)
Let j(o) be the first derivative of -3*o**5/10 - 3*o**4/2 - 5*o**3/2 - 3*o**2/2 - 1. Factor j(l).
-3*l*(l + 1)**2*(l + 2)/2
Let s = -33743/5 - -6727. Let f = 22 + s. Find q, given that -f + 0*q + 2/5*q**2 = 0.
-1, 1
Let r be (2/(-55))/(-1 + 57/60). Factor -r*c**3 + 10/11*c**2 + 0 - 2/11*c.
-2*c*(c - 1)*(4*c - 1)/11
Let j(k) = 8*k - 2. Let h be j(1). Let o(b) be the first derivative of -1/15*b**5 + 0*b + 1/6*b**h + 0*b**3 + 0*b**2 - 1/6*b**4 - 2. Solve o(g) = 0.
-2/3, 0, 1
Factor -3*k + k**2 - 3*k**3 + 