e 6 = -8*j + 38. Let i(x) be the second derivative of 0 - x + 1/6*x**j - 1/10*x**5 - x**2 + 1/3*x**3. Solve i(f) = 0.
-1, 1
Let d be (-2*3/(-8))/3. Let t = 9/5 + -31/20. Let d*g - t*g**2 + 0 = 0. Calculate g.
0, 1
Let a = -24 + 26. Let q(f) be the second derivative of 0 - a*f - 2/9*f**3 - 1/36*f**4 - 2/3*f**2. Factor q(h).
-(h + 2)**2/3
Find a, given that -3*a**5 - 5*a**4 - 4*a**2 + 8*a**2 + a**2 + 2*a + a**3 = 0.
-1, -2/3, 0, 1
Let d(z) be the third derivative of 0*z**3 + 1/80*z**6 - 2*z**2 + 0*z + 1/16*z**4 + 0 - 1/20*z**5. Solve d(n) = 0 for n.
0, 1
Let s(m) be the first derivative of 2*m**3/3 + m**2 - 4*m + 4. Factor s(v).
2*(v - 1)*(v + 2)
Factor 6/5*m**3 - 2/5 - 6/5*m + 2/5*m**2.
2*(m - 1)*(m + 1)*(3*m + 1)/5
Let n(d) be the second derivative of d**8/336 - d**6/120 - d**2 - 4*d. Let w(s) be the first derivative of n(s). Solve w(i) = 0.
-1, 0, 1
Let j(p) = p**2 - p + 1. Let k(h) = 0*h**2 - h**2 + 0*h**2 - h. Let x(b) = -2*j(b) - k(b). Factor x(i).
-(i - 2)*(i - 1)
Let s be 3/((-144)/6)*-2. Factor -s*b**2 + b - 1.
-(b - 2)**2/4
Let p be 19 + (2 - 3)*1. Suppose 0 = -d + c + 11 - 4, 0 = -4*d + 2*c + p. Suppose -6/5*y**d + 2/5*y - 2/5*y**4 + 0 + 6/5*y**3 = 0. What is y?
0, 1
Let m(n) be the first derivative of -n**3/6 + 3*n**2/4 + 2*n - 1. Factor m(c).
-(c - 4)*(c + 1)/2
Let h(w) = -4*w + 2. Let c(z) = 2*z + 8*z - 2*z + 0*z - 4 + z**2. Let y(g) = -2*c(g) - 5*h(g). Factor y(j).
-2*(j - 1)**2
Let n(w) be the second derivative of -w**4/90 + 4*w**3/45 - w**2/5 - 5*w. Determine j so that n(j) = 0.
1, 3
Let g(a) = a**2 + a - 1. Let b(y) = 6*y**3 - 14*y**2 - 20*y + 18. Let d(u) = 2*b(u) + 36*g(u). Find w such that d(w) = 0.
-1, 0, 1/3
Let m(u) be the first derivative of 2*u**3/3 + 2*u**2 + 2*u + 3. Factor m(f).
2*(f + 1)**2
Let z be 9/(-6) + 245/(-10). Let q = -26 - z. Factor -8/7 + q*r - 2/7*r**3 + 6/7*r**2.
-2*(r - 2)**2*(r + 1)/7
Suppose 0 = 10*g - g - 6*g. Factor -1/4*v**3 + g - 1/2*v**2 - 1/4*v.
-v*(v + 1)**2/4
Let p(o) be the first derivative of 1/18*o**4 + 4/27*o**3 - 1 + 1/9*o**2 + 0*o. Suppose p(g) = 0. Calculate g.
-1, 0
Let g(w) be the second derivative of -3/10*w**3 + 0 - 1/20*w**4 - 3/5*w**2 + 6*w. Factor g(c).
-3*(c + 1)*(c + 2)/5
Let n(f) be the second derivative of 0 + 4*f + 0*f**2 + 1/18*f**4 + 0*f**3 + 1/30*f**5. Factor n(u).
2*u**2*(u + 1)/3
Let d = -24 - -27. Find f, given that 10*f**3 - 10*f**d + 4*f**3 = 0.
0
Let s(v) be the third derivative of 0*v + 3*v**2 + 1/525*v**7 - 1/150*v**5 - 1/60*v**4 + 0*v**3 + 1/300*v**6 + 0. Solve s(p) = 0 for p.
-1, 0, 1
Let o = 27 - 14. Suppose s + 3 = d, -4*s - d + 0 = -o. Find i, given that 0 - 1/3*i**5 - i**3 - i**4 + 0*i - 1/3*i**s = 0.
-1, 0
Suppose -m + g = -0*m - 7, -5*g + 7 = 2*m. Let b(t) = -t**2 + 8*t + 4. Let y be b(m). Factor 10 - 2*d**4 + 64*d - 22 - 2 - 18 - 48*d**2 + y*d**3.
-2*(d - 2)**4
Let p = -7 - -7. Suppose 2*i = 4 - p. Let 2/3 - 1/3*j - 1/3*j**i = 0. What is j?
-2, 1
Let o = -8/7 + 54/35. Determine d, given that -1/5*d**2 - 1/5 + o*d = 0.
1
Suppose -13*n = -2*n - 2*n. Suppose -1/4*b - 1/4*b**5 + 1/2*b**3 + 0*b**2 + 0*b**4 + n = 0. What is b?
-1, 0, 1
Let q(v) be the third derivative of 0*v - 1/24*v**4 - 1/420*v**7 + 1/120*v**6 - 3*v**2 + 0*v**5 + 0 + 1/12*v**3. Factor q(h).
-(h - 1)**3*(h + 1)/2
Let c(i) be the second derivative of i**7/4200 + i**6/1800 - i**5/600 - i**4/12 - 2*i. Let q(f) be the third derivative of c(f). What is z in q(z) = 0?
-1, 1/3
Let t(d) be the first derivative of -3*d**5/20 + d**4/4 + 5*d**3/2 + 9*d**2/2 - 2*d - 9. Let w(y) be the first derivative of t(y). Factor w(c).
-3*(c - 3)*(c + 1)**2
Let w(n) be the third derivative of 0 + 5*n**2 - 1/270*n**5 - 2/27*n**3 + 0*n - 1/36*n**4. Factor w(j).
-2*(j + 1)*(j + 2)/9
Suppose 5*b = 2*q, -q - 2*b + 7 + 2 = 0. Let k be -3 - (-1)/(4/12). Let k*f**2 + 0 - 1/2*f**4 + 1/2*f**q + 0*f + 0*f**3 = 0. What is f?
0, 1
Solve 21/2*q**3 - 2 - 2*q + 41/2*q**2 = 0.
-2, -2/7, 1/3
Let b be (-2)/((-9)/(-11) + -1). Factor b*p - 3*p**2 + 17 - 2*p - 23.
-3*(p - 2)*(p - 1)
Suppose -l = 3*l - 24. Factor -o + 0*o**4 + 6*o**4 - 3*o**5 + 4*o - l*o**2.
-3*o*(o - 1)**3*(o + 1)
Let x(d) be the first derivative of -d**5/60 - d**4/12 - 2*d**2 + 2. Let p(r) be the second derivative of x(r). Factor p(v).
-v*(v + 2)
Suppose -1 = g - 3. Factor 3*d + 2*d**2 + 3*d**2 - g*d**2.
3*d*(d + 1)
Let h be (6/((-4)/(-2)))/(-3). Let c be (2 - h) + 15/10. Factor -9/2*n**2 - 3/2*n**4 + 3/2*n + 0 + c*n**3.
-3*n*(n - 1)**3/2
Determine k, given that 39 - 2*k**2 - 2*k**2 - 39 + 16*k = 0.
0, 4
Let d(j) be the third derivative of j**8/112 - j**7/35 - 3*j**6/20 + j**5 - 19*j**4/8 + 3*j**3 - 7*j**2. Factor d(n).
3*(n - 2)*(n - 1)**3*(n + 3)
Factor 14*w**4 + w**5 - 32*w**4 + 4*w**3 + 14*w**4.
w**3*(w - 2)**2
Let h = 9/8 - -101/24. Let h + 8/3*t + 1/3*t**2 = 0. What is t?
-4
Let f(i) = -i**3 + 7*i**2 + i - 3. Let y(j) = -j**3 + 2*j**2 + j. Let l(w) = -f(w) + 2*y(w). Factor l(a).
-(a - 1)*(a + 1)*(a + 3)
Let i(u) be the first derivative of -2*u**3/15 + 6*u**2/5 - 18*u/5 - 8. Determine f, given that i(f) = 0.
3
Let j(q) be the second derivative of 1/2*q**4 - 1/30*q**5 - 1/2*q**2 - 3*q + 0 - 3*q**3. Let z(l) be the first derivative of j(l). Factor z(o).
-2*(o - 3)**2
Determine b so that -3*b - 4*b**4 + 10*b**4 - 4*b**3 + 13*b**3 = 0.
-1, 0, 1/2
Let l(d) be the third derivative of -d**8/50400 - d**7/12600 - d**5/60 + 2*d**2. Let f(w) be the third derivative of l(w). Determine u, given that f(u) = 0.
-1, 0
Suppose -7*x - 3*x = -30. Determine l so that 1/2 - l**2 + 0*l**x + 0*l + 1/2*l**4 = 0.
-1, 1
Let i(m) be the third derivative of m**5/90 + 7*m**4/18 + 49*m**3/9 + 32*m**2. Find a, given that i(a) = 0.
-7
Let l(c) = -28*c**4 - 13*c**3 + 23*c**2 + 8*c + 5. Let r(j) = -j**3 - j**2 + 1. Let p(s) = -l(s) + 5*r(s). Suppose p(q) = 0. What is q?
-1, -2/7, 0, 1
Factor -5*i**3 - i**4 + 14*i**3 - 12*i**3.
-i**3*(i + 3)
Let a(t) = -t**2 - 7*t + 5. Let r(i) = 6*i**2 + 36*i - 26. Suppose -17 = -3*s + 31. Let q(m) = s*a(m) + 3*r(m). Factor q(o).
2*(o - 1)**2
Solve -4*s**4 - 161*s**2 + 163*s**2 + 2*s**4 = 0 for s.
-1, 0, 1
Let q(d) be the first derivative of -d**5/60 + d**4/12 - d**3/6 + d**2/6 + 2*d - 2. Let p(h) be the first derivative of q(h). Find g, given that p(g) = 0.
1
Suppose -5*v + 2 + 18 = 0. Let -4 - p + v + p**3 = 0. What is p?
-1, 0, 1
Let u(n) = -4*n**4 - 8*n**3 - 2*n**2 + 8*n + 6. Let r(g) = 4*g**4 + 8*g**3 + 3*g**2 - 8*g - 7. Let v(c) = -2*r(c) - 3*u(c). Factor v(i).
4*(i - 1)*(i + 1)**3
Factor 2*p**2 - 4/3*p + 0 + 10/3*p**3.
2*p*(p + 1)*(5*p - 2)/3
Factor -18/11*w**2 - 4/11*w**3 - 24/11*w - 8/11.
-2*(w + 2)**2*(2*w + 1)/11
Let p(j) be the second derivative of j**4/30 - 4*j**3/15 - j**2 + 5*j - 2. Solve p(m) = 0 for m.
-1, 5
Let h be 2 + (-81)/60 + 2/(-5). Let w(n) be the first derivative of -3 - 1/16*n**4 + 1/12*n**3 - h*n + 1/8*n**2. Let w(f) = 0. Calculate f.
-1, 1
Let m(g) be the first derivative of -5*g**3/3 + 15*g**2 - 45*g - 2. Find f such that m(f) = 0.
3
Let c(a) be the second derivative of a**4/36 + a**3/18 - 3*a. Factor c(k).
k*(k + 1)/3
Let m(k) = k**3 + 5*k**2 - 4*k - 5. Let d be m(-5). Suppose 0 = 3*j - d, 2*j + j - 20 = -g. Solve 5*o**4 + 2*o - 4*o**g - 3*o**2 - o + 3*o**3 - 2*o**2 = 0.
-1, 0, 1/4, 1
Let d(s) be the third derivative of -2*s**7/105 - 2*s**6/15 - 2*s**5/5 - 2*s**4/3 - 2*s**3/3 - 15*s**2. Factor d(h).
-4*(h + 1)**4
Let x(g) = -g**3 - 8*g**2 + 7*g - 13. Let l be x(-9). Let r = -1 + l. Factor -2*b**3 + b**4 + 0*b**r + 3*b**3.
b**3*(b + 1)
Let o(g) be the first derivative of 0*g**4 + 0*g**3 - 1 + 0*g - 1/60*g**5 + g**2. Let x(c) be the second derivative of o(c). Find a, given that x(a) = 0.
0
Let v be (-24)/(-14) + -2 - 740/(-777). Factor 2/3 - 2/3*p**3 - v*p**2 + 2/3*p.
-2*(p - 1)*(p + 1)**2/3
Let w(k) be the third derivative of 0*k - 1/60*k**5 + 0 + 1/150*k**6 + 2*k**2 + 0*k**3 - 1/1050*k**7 + 1/60*k**4. Determine a so that w(a) = 0.
0, 1, 2
Let h(p) be the third derivative of p**8/112 + p**7/35 - 2*p**2 + 2*p. Factor h(n).
3*n**4*(n + 2)
Let d(n) be the second derivative of n**5/10 + 3*n**4/5 + 4*n**3/5 - 8*n**2/5 + 6*n. What is f in d(f) = 0?
-2, 2/5
Let f(w) = -2*w**5 + 10*w**4 - 10*w**3 + 2*w**2 + 12*w. Let l(a) = a**5 - 4*a**4 + 4*a**3 - a**2 - 5*a. Let k(p) = 5*f(p) + 12*l(p). Factor k(v).
2*v**2*(v - 1)*(v + 1)**2
Let t(f) = f