ve of -g**5/150 - 2*g**4/15 - 16*g**3/15 + 9*g**2. Solve b(h) = 0.
-4
Let p(o) be the first derivative of -2*o**5/5 - 3*o**4/2 - 2*o**3 - o**2 + 18. Suppose p(f) = 0. What is f?
-1, 0
Let x(y) be the first derivative of y**6/80 + y**5/20 + y**4/16 - 5*y**2 - 9. Let r(a) be the second derivative of x(a). Factor r(q).
3*q*(q + 1)**2/2
Let b = 45 - 45. Let f(d) be the first derivative of -1/12*d**4 + 0*d**3 + 1 + b*d**2 + 1/15*d**5 + 0*d. Factor f(c).
c**3*(c - 1)/3
Let p be 5/(-2)*((-42)/20 + 2). Suppose p*a**2 - 1/4 + 0*a = 0. What is a?
-1, 1
Determine s, given that 2*s**4 - 8/3*s**2 + 10/3*s**3 + 0 - 8/3*s = 0.
-2, -2/3, 0, 1
Let t(n) be the first derivative of 3*n**4/4 - n**3 - 3*n**2/2 + 3*n + 5. Find c such that t(c) = 0.
-1, 1
Let g(l) = 12*l**2 + 52*l - 64. Let n(p) = 4*p**2 + 17*p - 21. Let d(y) = 5*g(y) - 16*n(y). Factor d(v).
-4*(v - 1)*(v + 4)
Let b(f) be the second derivative of f**6/120 + f**5/20 - f**4/24 - f**3/2 + 9*f**2/8 + 27*f. Let b(h) = 0. Calculate h.
-3, 1
Let b(l) be the third derivative of l**5/20 + 2*l**4 + 32*l**3 + 25*l**2. Suppose b(u) = 0. What is u?
-8
Let n be (-30)/(-20) - (-3)/2. Suppose -32 = -n*i - 23. Let 0 - f + 3/2*f**2 - 1/2*f**i = 0. What is f?
0, 1, 2
Let t(q) be the first derivative of q**6/150 - 2*q - 2. Let z(h) be the first derivative of t(h). Factor z(f).
f**4/5
Let v(a) be the third derivative of 0*a + 0 - a**2 - 1/30*a**3 - 1/300*a**5 - 1/60*a**4. Factor v(s).
-(s + 1)**2/5
Let q(c) = c**2 + 2. Let b be q(1). Let g(l) be the first derivative of 0*l**4 + 0*l - 3 + 0*l**2 + 1/5*l**5 - 1/3*l**b. Factor g(s).
s**2*(s - 1)*(s + 1)
Find i such that -3/4*i**2 + 15/4*i - 9/2 = 0.
2, 3
Let b be 3/(-7) + 136/56. Let t(k) be the second derivative of 0*k**3 + k + 0 + 0*k**b + 1/30*k**4. Factor t(x).
2*x**2/5
Factor -p**2 - 6*p**3 - p**4 + 2*p**2 + 2*p**2 + 4*p**4.
3*p**2*(p - 1)**2
Let r(s) be the first derivative of 4*s**6/15 + 2*s**5 + 11*s**4/2 + 20*s**3/3 + 4*s**2 - 3*s + 1. Let p(x) be the first derivative of r(x). Factor p(i).
2*(i + 2)**2*(2*i + 1)**2
Factor 0 - 1/3*s**2 + 4/3*s.
-s*(s - 4)/3
Let i(m) = m**2 + 5*m - 9. Let a be i(-7). Suppose 3*y - 14 = -5*u + 3*u, -5*y + 30 = a*u. Determine z so that -2/5*z**3 - 6/5*z - 6/5*z**y - 2/5 = 0.
-1
Let a = 865/8862 - 1/422. Let r(u) be the first derivative of -a*u**3 - 2 + 0*u**2 + 2/7*u. Factor r(c).
-2*(c - 1)*(c + 1)/7
Factor 3*u**3 + 3/5 + 21/5*u**2 + 4/5*u**4 + 13/5*u.
(u + 1)**3*(4*u + 3)/5
Let l(h) = -10*h**3 + 8*h**2 + 2*h + 12. Let g(t) = -3*t**3 + t**2 + t**2 - t + 7*t**3 - 5 - 5*t**2. Let o(d) = 12*g(d) + 5*l(d). Factor o(p).
-2*p*(p - 1)**2
Factor 1/9*o**2 - 1/3 + 2/9*o.
(o - 1)*(o + 3)/9
Let i(v) be the second derivative of 5*v**7/42 + 5*v**6/6 + 3*v**5/2 - 5*v**4/3 - 20*v**3/3 + 6*v. Find h, given that i(h) = 0.
-2, 0, 1
Let p(f) = f**2 + f + 1. Let s(k) = 8*k**3 + 12*k**2. Let l(j) = -7*j**3 - 12*j**2 - j - 1. Let a(x) = -4*l(x) - 3*s(x). Let o(q) = a(q) - 8*p(q). Factor o(z).
4*(z - 1)*(z + 1)**2
Let x(a) be the third derivative of 2*a**7/105 - a**5/5 - a**4/3 - 17*a**2. Factor x(p).
4*p*(p - 2)*(p + 1)**2
Suppose -2 = z + t - 4, 4*z + 5*t - 10 = 0. Factor 0*j + 2/11*j**2 - 6/11*j**4 + z - 4/11*j**3.
-2*j**2*(j + 1)*(3*j - 1)/11
Let h be (-8)/10*(-125)/(-2). Let d be ((-5)/h)/((-1)/(-16)). Let -2*x**4 - 2/5*x + d*x**5 + 0 + 2*x**2 - 6/5*x**3 = 0. What is x?
-1, 0, 1/4, 1
Let f(m) = 11*m**4 - 17*m**3 - 11*m**2 + 17*m - 5. Let b(w) = -27*w**4 + 42*w**3 + 27*w**2 - 42*w + 12. Let l(k) = -5*b(k) - 12*f(k). Factor l(x).
3*x*(x - 2)*(x - 1)*(x + 1)
Factor 3/5*l - 6 + 6*l**2 - 3/5*l**3.
-3*(l - 10)*(l - 1)*(l + 1)/5
Let b = 12 + -10. Factor -2*g + 2*g**2 - 4*g - 4*g**b.
-2*g*(g + 3)
Let f(v) be the first derivative of v**5/4 + v**4/4 - v**3/2 - v**2/2 + v/4 - 4. Factor f(g).
(g - 1)*(g + 1)**2*(5*g - 1)/4
Suppose 3*w - 5*t = 34, t - 3*t = w + 7. Let r(j) be the second derivative of 0 - 5/24*j**4 - 3*j - 7/40*j**5 + 1/6*j**w + 0*j**2. Suppose r(n) = 0. What is n?
-1, 0, 2/7
Let a = 187/728 + 3/104. Solve 0*s - 2/7*s**2 + a = 0 for s.
-1, 1
Let v(p) be the second derivative of p**6/20 - p**5/10 + p**4/24 - 9*p. Factor v(u).
u**2*(u - 1)*(3*u - 1)/2
Let j be (126/4)/((-11)/(-22)). Factor 0*l + 4*l**2 - 30*l**3 + j*l**4 - 49/2*l**5 + 0.
-l**2*(l - 2)*(7*l - 2)**2/2
Let y(x) be the second derivative of -x**7/42 + x**6/10 + x**5/10 - x**4/2 - x**3/6 + 3*x**2/2 + x. Factor y(m).
-(m - 3)*(m - 1)**2*(m + 1)**2
Solve -8*c**4 + 12*c**2 + 4*c**5 + 13*c**2 - 16*c**3 + 6*c**2 + c**2 = 0 for c.
-2, 0, 2
Factor -4/7*m - 2/7 - 2/7*m**2.
-2*(m + 1)**2/7
Let g(a) be the second derivative of a**4/60 - a**3/15 + a**2/10 + 13*a. Factor g(f).
(f - 1)**2/5
Let l(o) be the third derivative of o**7/630 + o**6/180 - 13*o**2. Factor l(x).
x**3*(x + 2)/3
Factor f**3 + 0*f + 1/2*f**2 + 0.
f**2*(2*f + 1)/2
Let b(k) be the second derivative of -k - 1/50*k**5 + 0 + 0*k**2 + 0*k**3 - 1/30*k**4. Suppose b(o) = 0. Calculate o.
-1, 0
Let b be 28/(-3)*1/(-16). Let p(h) be the second derivative of -b*h**3 - h + 0 + 1/2*h**2 + 5/24*h**4. Find w such that p(w) = 0.
2/5, 1
Let i = 0 + 0. Let l = 2 - i. Solve -b**5 - 3*b**3 - 2*b**2 - l*b**2 + 3*b**2 + 4*b - 3*b**2 + 4*b**4 = 0 for b.
-1, 0, 1, 2
Let d(c) be the first derivative of 2/3*c**3 + 0*c**4 + 1/420*c**7 + 0*c**2 + 0*c**6 + 0*c**5 + 2 + 0*c. Let s(i) be the third derivative of d(i). Factor s(o).
2*o**3
Factor s**2 + 2*s**2 + 4*s - 4*s**3 + 5*s**3 + s**2.
s*(s + 2)**2
Let x = 1717/5 - 341. Let r = 597 - 2973/5. Suppose x - r*g + 3/5*g**2 = 0. Calculate g.
2
Let z(a) be the first derivative of 0*a**2 - 1/270*a**6 + 0*a**4 - 3 - 2/3*a**3 + 0*a - 1/180*a**5. Let w(s) be the third derivative of z(s). Factor w(k).
-2*k*(2*k + 1)/3
Let x(h) be the first derivative of -3*h**4/4 + 1. Factor x(a).
-3*a**3
Let f(h) = -11*h**2 - 220*h - 191. Let c(a) = 3*a**2 + 55*a + 48. Let g(m) = -9*c(m) - 2*f(m). Determine w, given that g(w) = 0.
-10, -1
Let j be 14/(-8) - (-7)/(7/2). Factor 1/2*c**3 + 1/4 - j*c**5 - 1/4*c - 1/2*c**2 + 1/4*c**4.
-(c - 1)**3*(c + 1)**2/4
Suppose 0 = 3*r + 2*r - 25. Suppose -r*y + 17 = 7. Suppose -18/11*i**3 - 4/11 + 14/11*i**4 + 18/11*i - 10/11*i**y = 0. Calculate i.
-1, 2/7, 1
Let v(i) be the third derivative of 0 - 1/40*i**5 - 3/16*i**4 + 0*i + 2*i**2 - 1/2*i**3. Determine s so that v(s) = 0.
-2, -1
Let s(g) be the second derivative of -g**5/270 + g**4/108 + 3*g**2/2 + 2*g. Let t(f) be the first derivative of s(f). Let t(h) = 0. What is h?
0, 1
Suppose n - 4*y = -12, 2*n - 2*y - 17 + 47 = 0. Let z be n/(12/8*-2). Find m, given that -16/3*m + 2/3 + 10*m**2 + z*m**3 - 32/3*m**4 = 0.
-1, 1/4, 1
Let x(n) = -n**4 - 4*n**3 - 3*n**2 - 10*n + 2. Let l(s) = s**4 + 3*s**3 + 2*s**2 + 9*s - 1. Let w(a) = -6*l(a) - 5*x(a). Factor w(c).
-(c - 2)**2*(c + 1)**2
Let o(w) be the second derivative of 0 - 1/4*w**4 + 0*w**3 + 3*w + 0*w**5 + 1/10*w**6 + 0*w**2. Find b such that o(b) = 0.
-1, 0, 1
Let s(u) be the second derivative of -1/36*u**4 + 1/18*u**3 + 1/3*u**2 + 0 - u. What is q in s(q) = 0?
-1, 2
Let u be 0 + (1 - 0)*0. Let c = -59 + 62. Find d, given that 0*d**2 + 1/4*d**c + u - 1/4*d = 0.
-1, 0, 1
Suppose -5*r + 11 = -4. Suppose -7 = -r*d - 1. Factor -m**2 + 6 + m**2 - 2*m + m**d - 5.
(m - 1)**2
Let m(o) be the first derivative of 4*o**6/21 + 26*o**5/35 + o**4/2 - 22*o**3/21 - 11*o**2/7 - 4*o/7 + 10. Determine z so that m(z) = 0.
-2, -1, -1/4, 1
Let v(l) be the second derivative of -l**5/35 - l**4/7 + 2*l**3/21 + 6*l**2/7 + 6*l - 6. Find a such that v(a) = 0.
-3, -1, 1
Find t such that 1/4*t**2 - t + 0 = 0.
0, 4
Let x be 127 + (-2)/((-2)/(-3)). Let f = -368/3 + x. Solve 2/3*m**2 + 0 + 2/3*m**4 + f*m**3 + 0*m = 0.
-1, 0
Find z, given that 13*z**2 - 3*z - 12*z**2 - 3 + 5 = 0.
1, 2
Let g(x) be the third derivative of -x**5/20 - x**4/2 - 3*x**3/2 - 7*x**2. Let g(m) = 0. Calculate m.
-3, -1
Let k(q) be the first derivative of q**6/120 - q**5/40 + q**3 + 6. Let i(s) be the third derivative of k(s). Factor i(d).
3*d*(d - 1)
Let b = 6/5 + -13/15. Let f(x) be the second derivative of 1/10*x**5 + b*x**3 - 3*x + 1/3*x**4 + 0*x**2 + 0. Factor f(v).
2*v*(v + 1)**2
Suppose 0 = 5*u - 9 - 1. Factor -w**2 + w**4 + 0*w**2 - w**2 + 6*w**3 + u*w**5 - 7*w**4.
2*w**2*(w - 1)**3
Let v be (-16)/(-10) + (-18)/(-45). Let n(m) be the first derivative of 0