+ 1/4*x + 0*x**a.
-x*(x - 1)*(x + 1)/4
Let j(o) be the second derivative of o**5/30 + 4*o**4/27 + 7*o**3/27 + 2*o**2/9 - 17*o. Factor j(k).
2*(k + 1)**2*(3*k + 2)/9
Let m(a) be the third derivative of 1/18*a**5 + 2/9*a**4 + 0 + 4/9*a**3 + 0*a - a**2 + 1/180*a**6. Suppose m(z) = 0. Calculate z.
-2, -1
Let o(z) be the second derivative of z**5/4 - 5*z**4/6 - 35*z**3/6 - 10*z**2 + 5*z. Factor o(h).
5*(h - 4)*(h + 1)**2
Let j(z) be the third derivative of z**7/245 - 2*z**6/105 + z**5/30 - z**4/42 - 7*z**2. Factor j(f).
2*f*(f - 1)**2*(3*f - 2)/7
Let g(f) be the second derivative of -f**4/90 - f**3/15 + 4*f**2/15 + 64*f. Let g(d) = 0. What is d?
-4, 1
Let o = 26/9 + -20/9. Determine s so that 2/9*s**2 + 0 + o*s = 0.
-3, 0
Suppose -3*s = -s - 20. Let w(b) = -b**3 + 9*b**2 + 10*b. Let x be w(s). What is q in -3/5*q**2 + 2/5*q + x - q**3 = 0?
-1, 0, 2/5
Let s(x) be the second derivative of -x**4/12 - 2*x**3/3 - 2*x**2 - 5*x. Factor s(n).
-(n + 2)**2
Suppose -m - 2 = 4*z, -2*m - z + 1 = -2. Factor 2/7*a**3 + 0*a + 0 + 2/7*a**m.
2*a**2*(a + 1)/7
Let z(j) = j**2 + 2*j - 1. Let t(p) = -p**2 - 3*p + 1. Suppose -4*g = -0 + 8. Let s(o) = g*t(o) - 3*z(o). Suppose s(c) = 0. What is c?
-1, 1
Let g be (-4)/((4/3)/(-2)). Suppose -2 + 6 = 2*p. Determine b, given that -5*b**p + g*b - 2*b - 2*b = 0.
0, 2/5
Factor -2*t**4 + t**5 + 2*t**5 + 10*t**2 + 6*t**3 + 4*t - 3*t**5 - 2*t**5.
-2*t*(t - 2)*(t + 1)**3
Solve 3*u + 0*u**2 + 4*u**2 - 2 - 8*u**2 + 3*u**2 = 0 for u.
1, 2
Let b(n) be the second derivative of n**4/12 + n**3/6 - n**2 - 19*n. Suppose b(l) = 0. Calculate l.
-2, 1
Let f(r) be the third derivative of r**7/70 - r**6/10 + 3*r**5/10 - r**4/2 + r**3/2 - 2*r**2. Solve f(c) = 0.
1
Let o be 7 + 50/425 + (-70)/17. Solve 1/3*t**o + 0 + 0*t**2 + 0*t = 0 for t.
0
Suppose 0*d = d - 1. Let y(x) = -x + 1. Let w(p) = -p**3 + p - 1. Let z(l) = d*w(l) + y(l). Determine t so that z(t) = 0.
0
Let a(z) be the third derivative of -z**9/90720 + z**8/18900 + z**7/9450 - z**5/12 + 6*z**2. Let l(x) be the third derivative of a(x). Factor l(s).
-2*s*(s - 2)*(5*s + 2)/15
Let n(z) = 25*z + 5. Let w be n(7). Let 93*c**4 + 450*c**2 - 15*c**5 + 24 + w*c - 24*c**4 + 435*c**3 + 111*c**4 + 42*c**5 = 0. Calculate c.
-2, -1/3
Let u(d) be the first derivative of 2*d**5/5 - d**4/2 - 2*d**3/3 + d**2 - 8. Factor u(l).
2*l*(l - 1)**2*(l + 1)
Let o(f) be the second derivative of -f**8/23520 - f**7/2940 + f**5/105 - f**4/3 - 2*f. Let z(s) be the third derivative of o(s). Factor z(h).
-2*(h - 1)*(h + 2)**2/7
Factor 2/5 - 2/5*b**2 + 0*b.
-2*(b - 1)*(b + 1)/5
Let v = 2/43 + 416/301. Let r be -2 + 22/14 - -1. Let -r + 2*p**2 - v*p = 0. What is p?
-2/7, 1
Let i = 407/9600 - 5/128. Let d(q) be the third derivative of 2*q**2 - i*q**5 + 0*q**3 + 0*q + 1/120*q**4 + 0. Suppose d(u) = 0. What is u?
0, 1
Suppose 3*h - 16 = h. Find t, given that t**2 - 2 - 7 + h = 0.
-1, 1
Let y(q) be the first derivative of -2*q**3/15 - q**2/5 - 6. Factor y(l).
-2*l*(l + 1)/5
Factor -75*b**2 - 89 + 18*b**3 + 77 - 29*b + 113*b.
3*(b - 2)**2*(6*b - 1)
Let x = -1677/2 + 839. Solve -4*h - x*h**2 - 8 = 0.
-4
Let z be -7*(208/21 - 10). Factor -z*g**2 - 2/3*g + 4/3.
-2*(g - 1)*(g + 2)/3
Let 3/4 - 3/4*u**5 + 3/2*u**3 + 3/4*u**4 - 3/4*u - 3/2*u**2 = 0. Calculate u.
-1, 1
Let n(a) = a**3 + a**2 - 2*a. Let l be n(0). Find c, given that 2 - 8*c**2 + 2*c + l*c**2 + 4*c + 0 = 0.
-1/4, 1
Suppose 0*f + 5/3*f**3 + 10/3*f**2 - 5/3*f**4 + 0 = 0. What is f?
-1, 0, 2
Factor 0*r**3 - 181*r**2 + 184*r**2 - 3*r**3.
-3*r**2*(r - 1)
Let n(p) be the second derivative of -p**9/3024 + p**7/420 - p**5/120 - 7*p**3/6 - 5*p. Let g(z) be the second derivative of n(z). Find y such that g(y) = 0.
-1, 0, 1
Let z = 120 + -117. Determine j, given that 1/4*j - 1/2*j**2 + 0 + 0*j**z - 1/4*j**5 + 1/2*j**4 = 0.
-1, 0, 1
Let f(w) be the first derivative of 0*w**4 + w + 2 + 0*w**2 + 0*w**3 - 1/105*w**6 - 1/70*w**5. Let l(c) be the first derivative of f(c). Solve l(q) = 0.
-1, 0
Let a(d) be the third derivative of d**5/150 + d**4/12 + 4*d**3/15 + 3*d**2. Suppose a(h) = 0. What is h?
-4, -1
Let v(z) = 9*z**4 - 16*z**3 - 20*z**2 - 21*z - 13. Let p(h) = 4*h**4 - 8*h**3 - 10*h**2 - 10*h - 6. Let s(i) = -13*p(i) + 6*v(i). Solve s(l) = 0.
-2, -1, 0
Let l = 269/399 + -1/133. Let 0*j**3 - 1/3*j**5 + 0 + 1/3*j + 2/3*j**2 - l*j**4 = 0. Calculate j.
-1, 0, 1
Let s(o) = o**2 + 6*o + 5. Let r be s(-5). Let f(b) be the second derivative of 1/9*b**3 - 1/30*b**5 + r + 0*b**4 - 2*b - 1/90*b**6 + 1/6*b**2. Solve f(m) = 0.
-1, 1
Let d(m) = 2*m**4 - 1 - m**5 - 2 - 3*m**4 + m**2 + 4. Let k(r) = -6*r**5 - 6*r**4 + 2*r**3 + 6*r**2 + 4. Let g(p) = 4*d(p) - k(p). Factor g(u).
2*u**2*(u - 1)*(u + 1)**2
Let q(x) be the third derivative of x**5/180 + x**4/9 + x**2 - 17. Find k such that q(k) = 0.
-8, 0
Let o(p) be the first derivative of 2/15*p**5 + 0*p**2 - 1/3*p**4 + 0*p + 2/9*p**3 - 3. Factor o(r).
2*r**2*(r - 1)**2/3
Let q be (-2)/(-14) + 3282/21. Let r = 157 - q. What is m in 4/7*m**2 + 6/7*m - r*m**3 - 2/7*m**5 + 2/7 - 6/7*m**4 = 0?
-1, 1
Factor 9*t**4 + 13*t**4 + 3*t**3 - 16*t**4 + 3*t**5.
3*t**3*(t + 1)**2
Factor -5/4*b**2 - 1/4*b**3 - 2*b - 1.
-(b + 1)*(b + 2)**2/4
Let b(d) be the third derivative of d**6/420 + d**5/70 + d**4/42 - 42*d**2. Factor b(f).
2*f*(f + 1)*(f + 2)/7
Let g(n) be the third derivative of 2/5*n**5 + 0*n + 1/16*n**8 + 0 + 2*n**2 + 1/35*n**7 + 0*n**3 - 21/40*n**6 + 1/2*n**4. Find p, given that g(p) = 0.
-2, -2/7, 0, 1
Let m be (1 - -3) + -3 - 1. Let k(j) be the first derivative of m*j**2 - 1/15*j**5 - 1/3*j + 0*j**4 + 1 + 2/9*j**3. Determine b so that k(b) = 0.
-1, 1
Let z(h) = 8*h + 1 - 5 - 6*h**2 - 4. Let f(w) = -w**2 + w - 1. Let b(i) = -8*f(i) + z(i). Solve b(u) = 0.
0
Let f(z) be the second derivative of z**7/42 + 19*z. Factor f(p).
p**5
Let l(v) be the second derivative of v**4/48 - v**3/6 - 5*v**2/8 + 14*v + 1. Solve l(b) = 0 for b.
-1, 5
Let v(m) be the third derivative of m**6/1080 - m**5/180 + m**4/72 + m**3/6 - 3*m**2. Let k(w) be the first derivative of v(w). Factor k(y).
(y - 1)**2/3
Let z = 20 + -15. Suppose -4*u = -3 - z. Factor 1/2*o**u + 0 - o.
o*(o - 2)/2
Let d(u) be the third derivative of -u**6/300 - u**5/150 + u**4/60 + u**3/15 + 8*u**2. Factor d(g).
-2*(g - 1)*(g + 1)**2/5
Let b(h) be the second derivative of -2*h**7/21 + 4*h**5/5 + 2*h**4/3 - 2*h**3 - 4*h**2 + 5*h. Let b(r) = 0. Calculate r.
-1, 1, 2
Factor 5/4 - 5/4*n**2 - 5/4*n + 5/4*n**3.
5*(n - 1)**2*(n + 1)/4
Suppose 0 = m + m. Find y such that m*y**3 - 2*y**3 + 2*y + 4*y**2 + y - 5*y = 0.
0, 1
Let s(x) be the third derivative of x**8/6720 - x**7/280 + 3*x**6/80 + x**5/60 + 2*x**2. Let t(i) be the third derivative of s(i). Let t(k) = 0. What is k?
3
Let m = -821 + 825. Solve 1/3*n**m + 0*n**2 - 2/3*n**3 + 0 + 0*n = 0.
0, 2
Suppose 21 = 7*r + 7. Let y(v) be the second derivative of 0 - 1/63*v**7 + 0*v**3 + 1/45*v**6 - 1/18*v**4 + 1/30*v**5 - r*v + 0*v**2. Factor y(b).
-2*b**2*(b - 1)**2*(b + 1)/3
Let m(i) = -2*i**2 - 20*i + 3. Let n be m(-10). Factor -2/7*v**n + 0 + 0*v + 2/7*v**2.
-2*v**2*(v - 1)/7
Suppose 4*s**5 + 57*s**3 - 30*s**3 - 35*s**3 + 4*s = 0. Calculate s.
-1, 0, 1
Let i(q) be the first derivative of -1/42*q**4 + 2 + q + 2/21*q**3 + 0*q**2. Let v(m) be the first derivative of i(m). Determine l so that v(l) = 0.
0, 2
Let n(f) be the third derivative of f**6/180 + f**5/30 + f**4/12 + f**3/9 + 20*f**2. Factor n(i).
2*(i + 1)**3/3
Suppose -2 - 4 = -3*r. Determine o so that -r*o + 0*o**2 + o**2 + o**2 = 0.
0, 1
Let c = 77 - 77. Factor 1/2 - 3/4*s + 1/4*s**3 + c*s**2.
(s - 1)**2*(s + 2)/4
Factor -54*i + 2*i**2 + 6 + 30*i + 32*i.
2*(i + 1)*(i + 3)
Let j(h) be the third derivative of -h**7/70 + 7*h**6/40 - 3*h**5/4 + 9*h**4/8 + 34*h**2. Let j(w) = 0. What is w?
0, 1, 3
Let a(m) = -2*m**2 - 4*m + 11. Let o(g) = -g**2 - 2*g + 6. Let w(f) = -6*a(f) + 11*o(f). Factor w(p).
p*(p + 2)
Let k be 6/(-4 - (1 + -9)). Factor -6*q**3 - 3/2*q**2 + 6*q + k.
-3*(q - 1)*(q + 1)*(4*q + 1)/2
Let u be 124/(-840) - (-8)/(-20). Let v = -1/21 - u. Factor -1/4*t**3 + 1/4*t**2 + 0 + v*t.
-t*(t - 2)*(t + 1)/4
Let v be 8 - 7 - (-35)/(-2). Let i = v - -18. Determine o, given that -3/2*o**4 - i*o + 1/2*o**5 + o**3 + o**2 + 1/2 = 0.
-1, 1
Let r be 15/9 - (-2)/2. Suppose -q + 3*f + 9 = 0, -5*f + 2 = -5*q + 17. Factor -6