ative of l(a). Factor s(h).
-3*h**2*(h + 2)
Let i be 0 - (-2)/10 - (-1)/(-5). Solve i*t + 0 - 4/7*t**3 - 2/7*t**2 = 0 for t.
-1/2, 0
Let n be 5/3 + 12/9. Let r(u) be the first derivative of u**2 - 4 + 0*u + 3/2*u**4 + 2/5*u**5 + 2*u**n. Factor r(x).
2*x*(x + 1)**3
Let t(z) be the first derivative of -z**4/16 + z**2/8 - 12. Determine x so that t(x) = 0.
-1, 0, 1
Let r(o) = 2*o**2 + 4*o - 2. Let p be r(1). Factor -2/7 + 0*d**3 + 0*d - 2/7*d**p + 4/7*d**2.
-2*(d - 1)**2*(d + 1)**2/7
Let y(x) be the first derivative of -x**2/2 + 6. Let m(b) = -2*b**2 - 4*b + 4. Suppose -6*f + 10 = -f. Let l(a) = f*y(a) - m(a). Factor l(n).
2*(n - 1)*(n + 2)
Let c be 6/4*(-16)/(-36). Let t(k) be the first derivative of c*k**3 + 3 + 0*k**4 - k - 1/5*k**5 + 0*k**2. Factor t(r).
-(r - 1)**2*(r + 1)**2
Let f(d) = -17*d**5 - 32*d**4 - 16*d**3 + 5*d**2 + 5*d - 5. Let y(b) = 8*b**5 + 16*b**4 + 8*b**3 - 2*b**2 - 2*b + 2. Let r(g) = -2*f(g) - 5*y(g). Factor r(x).
-2*x**3*(x + 2)*(3*x + 2)
Let y(x) be the second derivative of -x**7/168 - x**6/30 - 3*x**5/40 - x**4/12 - x**3/24 - x. Determine t, given that y(t) = 0.
-1, 0
Let q be (10/110*0)/(2/2). Suppose 0*i + 0*i**2 - 1/3*i**3 + 1/3*i**5 + 0 + q*i**4 = 0. Calculate i.
-1, 0, 1
Suppose 0 = -3*b + 8*b - 50. Factor -4 + b*f**2 - 4*f - 11*f + 8*f**2 + f.
2*(f - 1)*(9*f + 2)
Suppose h + 6 = -h. Let u be (-2 - h)/((-14)/(-4)). Let u*i**4 - 2/7*i**2 + 10/7*i**3 - 16/7*i - 8/7 - 2/7*i**5 = 0. What is i?
-1, 2
Suppose d + 4*j = 8, -3*d - 2*d = -2*j + 4. Let w(c) be the second derivative of d - 1/7*c**2 - 1/42*c**4 - c + 2/21*c**3. Factor w(p).
-2*(p - 1)**2/7
Let y be (-2 - -11)*1/3. Suppose b + 4*b**4 + 6*b**3 - 3*b**y - b**4 - 2*b**4 + 3*b**2 = 0. Calculate b.
-1, 0
Determine k so that -10 + 25*k**4 - 135/2*k**2 - 5/2*k**3 - 50*k = 0.
-1, -1/2, -2/5, 2
Let o(s) be the second derivative of -4*s**5/25 - 6*s**4/5 - 18*s**3/5 - 27*s**2/5 - 9*s. Factor o(z).
-2*(2*z + 3)**3/5
What is m in 2/5*m**3 + 1014/5*m + 4394/5 + 78/5*m**2 = 0?
-13
Let g(t) be the first derivative of t**4/4 - 5*t**3/3 - 13*t**2/2 - 7*t + 14. Factor g(c).
(c - 7)*(c + 1)**2
Let z(f) be the second derivative of f**6/432 + 13*f**5/720 - f**4/24 - f**3/2 + 4*f. Let o(d) be the second derivative of z(d). Factor o(r).
(r + 3)*(5*r - 2)/6
Let s(f) = -f**2 + f - 1. Let t(g) = -7*g**2 + 5*g - 6. Let l = 21 - -1. Suppose 2*j + l = 3*k, 14 = 2*k - j - 0*j. Let b(p) = k*s(p) - t(p). Factor b(q).
q*(q + 1)
Let x be -4 + 3 + (-7)/(-4). Let z be (-35)/28 + (4 - 2). Factor -1/4*g**3 - 1/4 - x*g**2 - z*g.
-(g + 1)**3/4
Let n(g) be the second derivative of 1/6*g**4 + 0*g**2 + 0 - 6*g - 1/6*g**3 + 1/42*g**7 + 0*g**5 - 1/15*g**6. Factor n(m).
m*(m - 1)**3*(m + 1)
Let i(f) be the third derivative of 0 - 1/20*f**5 + 1/70*f**7 + 1/40*f**6 - 1/8*f**4 + 0*f + 0*f**3 + 4*f**2. Factor i(t).
3*t*(t - 1)*(t + 1)**2
Determine u so that 9/4*u**2 - 7/8*u**4 - 1/8*u**5 - 27/8 + 27/8*u - 5/4*u**3 = 0.
-3, 1
Solve 2/3*h**5 + 0 - 2/3*h**3 + 2/3*h**2 + 0*h - 2/3*h**4 = 0 for h.
-1, 0, 1
Let u(v) be the third derivative of v**7/42 - v**6/4 + v**5/12 + 5*v**4 + 40*v**3/3 - 2*v**2 + 22*v. Let u(s) = 0. Calculate s.
-1, 4
Determine x so that -x**2 - 3*x**2 + 4*x**2 + 2*x**2 = 0.
0
Let q(w) be the third derivative of 0*w + 0*w**4 + 0*w**5 - 1/84*w**8 - 1/60*w**6 + 0*w**3 + 0 + 2*w**2 - 1/35*w**7. Solve q(i) = 0 for i.
-1, -1/2, 0
Let v(f) be the second derivative of -f**7/210 + f**6/30 - f**5/10 + f**4/6 - f**3/6 + f**2/10 + 15*f. Factor v(p).
-(p - 1)**5/5
Find l such that 0*l**2 - 2/3*l**3 + 8/3*l**4 + 0*l + 0 = 0.
0, 1/4
Let j(m) be the third derivative of 0*m**3 - 1/120*m**6 + 1/60*m**5 + 0 + 0*m**4 + 0*m + 3*m**2 - 1/210*m**7 + 1/336*m**8. Find o such that j(o) = 0.
-1, 0, 1
Let a(q) be the third derivative of q**6/120 - q**5/18 + q**4/18 + 4*q**3/9 - 14*q**2. Factor a(c).
(c - 2)**2*(3*c + 2)/3
Let b(t) be the first derivative of t**5/15 - t**4/6 - t**3/3 + 2*t**2/3 + 4*t/3 + 2. Find r such that b(r) = 0.
-1, 2
Let l(q) be the third derivative of q**5/210 - q**4/42 + q**3/21 + 8*q**2. Factor l(z).
2*(z - 1)**2/7
Let i = -25 + 25. Let q(b) be the first derivative of -3 + i*b**3 + 0*b + 1/15*b**6 + 0*b**4 + 0*b**2 + 4/25*b**5. Factor q(y).
2*y**4*(y + 2)/5
Let i(a) = a**5 + 4*a**4 + 2*a**3 + a - 2. Let r(k) = 4*k**5 + 13*k**4 + 7*k**3 + k**2 + 3*k - 7. Let b(h) = -14*i(h) + 4*r(h). Solve b(w) = 0 for w.
-1, 0, 1
Let i(r) be the first derivative of 5*r**3 + 2 - 6*r + 21/2*r**2 - 3*r**4. Let i(u) = 0. Calculate u.
-1, 1/4, 2
Let l be ((-9)/(-3))/3 + 4. Let f(c) be the third derivative of 0*c + 0*c**4 - 1/150*c**l + 0 - c**2 + 1/15*c**3. Solve f(d) = 0.
-1, 1
Let v(b) be the third derivative of b**7/18900 - b**6/2700 - b**4/12 - 2*b**2. Let i(w) be the second derivative of v(w). Let i(o) = 0. What is o?
0, 2
Suppose -5*k + 12 = -k. Factor r**4 + r - r - r**k + 0*r.
r**3*(r - 1)
Find z such that -8/9*z**2 - 8/9 - 34/9*z = 0.
-4, -1/4
Factor 36*l - 3*l**2 - 45 - 94 + 31.
-3*(l - 6)**2
Let z(f) be the second derivative of -7*f**6/75 + 6*f**5/25 + 2*f**4/15 + 18*f. Factor z(v).
-2*v**2*(v - 2)*(7*v + 2)/5
Factor -2*c + 5/2 - 1/2*c**2.
-(c - 1)*(c + 5)/2
Factor 0 - 88/3*n**2 - 50/3*n**4 + 140/3*n**3 + 16/3*n.
-2*n*(n - 2)*(5*n - 2)**2/3
Factor 16 - 12*i - 10*i - 11*i - 8*i**2 + 5*i.
-4*(i + 4)*(2*i - 1)
Suppose -2*u + 4*k - 20 = 0, 5*k = -2*u - 0 + 25. Factor 2*z**2 - 1/2*z - 2*z**3 + u.
-z*(2*z - 1)**2/2
Let w(s) = s**3 + 8*s**2 + 5*s - 10. Let x be w(-7). Let h(c) be the first derivative of -1 + 1/2*c**x + 2*c**3 + 0*c + 2*c**2. Factor h(f).
2*f*(f + 1)*(f + 2)
Suppose 0 = 3*d - 4*d. Suppose d = -4*u + 2*u + 8. Factor 2*n**u - 2*n**2 + n**5 + n - 2*n**5 + 0*n**5.
-n*(n - 1)**3*(n + 1)
Let q(u) be the first derivative of -2*u**3/9 - 2*u**2/3 - 2*u/3 + 16. Factor q(b).
-2*(b + 1)**2/3
Let c(b) be the third derivative of b**5/20 - b**4/8 + 18*b**2. Factor c(g).
3*g*(g - 1)
Factor 6*w**3 + 8/5*w**5 + 2/5*w - 26/5*w**4 + 0 - 14/5*w**2.
2*w*(w - 1)**3*(4*w - 1)/5
Suppose 1/3*b**4 + 1/3 - 1/3*b - 2/3*b**2 - 1/3*b**5 + 2/3*b**3 = 0. What is b?
-1, 1
Determine i, given that 0 + 9/4*i**2 + 3/4*i**3 + 3/2*i = 0.
-2, -1, 0
Let o(d) be the third derivative of 1/10*d**5 + 0*d + 0*d**3 + 1/105*d**7 - 1/12*d**6 + 0 + 3/4*d**4 + d**2. Factor o(g).
2*g*(g - 3)**2*(g + 1)
What is r in 12/5*r**3 - 64/5*r + 0 - 4/5*r**4 + 32/5*r**2 - 1/5*r**5 = 0?
-4, 0, 2
Let k(n) be the second derivative of -5*n**4/12 - 5*n**3/6 + 5*n**2 - 13*n. Let k(y) = 0. What is y?
-2, 1
Suppose 0 = 5*f - 2*f - 6. Factor -1/4*m**f - 1/4 - 1/2*m.
-(m + 1)**2/4
Suppose 0 + 0*r**2 + 0*r - 25/2*r**4 - 35/2*r**5 + 5*r**3 = 0. What is r?
-1, 0, 2/7
Suppose -14*s + 10*s = -8. Let t be 3/(10*1/s). Let -18/5*m - 27/5 - t*m**2 = 0. Calculate m.
-3
Let f(m) be the third derivative of -m**9/181440 - m**5/60 - m**2. Let h(o) be the third derivative of f(o). Determine y so that h(y) = 0.
0
Factor 20*d**2 + 68*d - 50*d**2 - 40 + 4*d**3 - 2*d**2.
4*(d - 5)*(d - 2)*(d - 1)
Let g be (-22)/55 - 68/(-70). Factor -2/7 - 4/7*i + 2/7*i**4 + g*i**3 + 0*i**2.
2*(i - 1)*(i + 1)**3/7
Let u be 3/((-9)/6) + 1. Let a be (12/8)/(u/(-2)). Factor 1 + 5*t**2 + t**2 + 2*t**4 - t**4 - 4*t - 4*t**a.
(t - 1)**4
Let d(b) be the first derivative of 3 + 2/9*b**3 + 0*b**2 - 1/12*b**4 + 0*b - 1/5*b**5. Factor d(k).
-k**2*(k + 1)*(3*k - 2)/3
Let t(k) be the first derivative of 3*k**4/20 - 3*k**3/5 + 9*k**2/10 - 3*k/5 + 4. Factor t(j).
3*(j - 1)**3/5
Let w(o) be the second derivative of o**7/10080 + o**6/960 + o**5/240 - 5*o**4/6 - 10*o. Let t(j) be the third derivative of w(j). Factor t(n).
(n + 1)*(n + 2)/4
Let y(a) be the first derivative of 1 + 1/33*a**3 + 0*a**2 - 3*a + 1/66*a**4. Let k(m) be the first derivative of y(m). Factor k(j).
2*j*(j + 1)/11
Let h(m) be the third derivative of m**6/540 + 2*m**5/135 + 5*m**4/108 + 2*m**3/27 + m**2. Factor h(l).
2*(l + 1)**2*(l + 2)/9
Let k(n) be the second derivative of 7*n**6/135 - n**5/10 + n**4/27 - 2*n. Let k(v) = 0. What is v?
0, 2/7, 1
Suppose 4*o = 5*q + 1 + 27, 2*o + 4*q + 12 = 0. Factor o*l - 5*l**4 + 6*l**3 - 2*l**2 + 2*l**5 - 2*l - l**4.
2*l**2*(l - 1)**3
Suppose -s + 4*a + 33 = a, 5*a = -15. Find u such that 10*u**4 - s*u**4 + 4*u**3 + 0*u**3 = 0.
0, 2/7
Let p(l) = l + 4. Let g be p(-10). Let j = 9 + g. Determine w so that -2*w**j + 2