 l/99 - 2/11. Factor -3/5*h**3 - 1/5*h**5 + 1/5*h**2 + 0*h + 3/5*h**c + 0.
-h**2*(h - 1)**3/5
Let u = 397/5580 + -1/31. Let w(c) be the third derivative of 0*c**3 + 0 - 1/36*c**4 - u*c**5 - 3*c**2 - 1/72*c**6 + 0*c. What is v in w(v) = 0?
-1, -2/5, 0
Let c = -200/23 + -1654/69. Let x = c + 33. Let 0 - 1/3*v**4 + 1/3*v**2 - 1/3*v + x*v**3 = 0. Calculate v.
-1, 0, 1
Let c(i) be the second derivative of -i**6/180 - i**5/30 - i**3/3 - 3*i. Let j(w) be the second derivative of c(w). Factor j(p).
-2*p*(p + 2)
Suppose 46*z - 8 + 10*z - 32*z**2 - 66*z**2 = 0. Calculate z.
2/7
Let u(m) be the first derivative of m**6/240 + m**5/80 - 4*m**3/3 - 1. Let g(w) be the third derivative of u(w). Let g(z) = 0. Calculate z.
-1, 0
Let z(h) be the first derivative of 2*h**3/3 - h**2 - 4*h - 9. Suppose z(d) = 0. What is d?
-1, 2
Let u be (-27)/(-54)*((-3)/5 - -1). Solve u*d**2 + 2/5 - 3/5*d = 0 for d.
1, 2
Let h(t) = -t**2 + 3*t + 1. Let v be h(3). Let c be (1/(-3))/(v/(-4)). Let 2/3*z**2 + c*z + 0 = 0. Calculate z.
-2, 0
Suppose -r = 4*r - 10. Let x(z) be the first derivative of 0*z**3 + 0*z**r - 2 + 0*z - 1/5*z**4 - 2/25*z**5. Factor x(m).
-2*m**3*(m + 2)/5
Let r be 3/5 + (-9)/15. Let m(q) be the third derivative of 1/150*q**5 - 2/15*q**3 + 0 - 1/60*q**4 - 2*q**2 + r*q. Solve m(z) = 0 for z.
-1, 2
Factor 1/10*g**4 - 1/2*g**2 + 0 + 0*g + 2/5*g**3.
g**2*(g - 1)*(g + 5)/10
Let d be 0/2 + (-1 - -1)/(-1). Determine i so that 1/6*i**2 - 1/6*i**4 + 1/6*i**3 + d*i - 1/6*i**5 + 0 = 0.
-1, 0, 1
Let w(v) = -21*v**5 + 189*v**4 - 909*v**3 + 1500*v**2 - 9*v. Let c(b) = 5*b**5 - 47*b**4 + 227*b**3 - 375*b**2 + 2*b. Let o(r) = -9*c(r) - 2*w(r). Factor o(a).
-3*a**2*(a - 5)**3
Let n(f) be the first derivative of f**6/30 + 6*f**5/25 + 3*f**4/5 + 8*f**3/15 - 32. What is c in n(c) = 0?
-2, 0
Factor 6/11*k - 8/11*k**2 + 2/11*k**3 + 0.
2*k*(k - 3)*(k - 1)/11
Suppose k + 6 = 3*k. Suppose -5*g + k*f + 15 = -2*g, -g - 4*f - 10 = 0. Factor 0 - 2/5*t**g - 2/5*t.
-2*t*(t + 1)/5
Suppose -3*r - 61 + 73 = 0. Let c(j) be the second derivative of 0*j**2 + 3*j + 1/36*j**3 + 0 + 1/24*j**r + 1/40*j**5 + 1/180*j**6. Find t, given that c(t) = 0.
-1, 0
Let y(x) be the first derivative of 4*x**5/25 - x**4/2 + 8*x**3/15 - x**2/5 - 5. Find v, given that y(v) = 0.
0, 1/2, 1
Let q(o) = -11*o**2 - 2*o - 3. Suppose -y - y = -4*u + 12, -2*y - 4*u + 28 = 0. Let m(h) = h**2 - 1. Let t(b) = y*m(b) - q(b). Solve t(l) = 0.
-1/3, 1/5
Let z(r) = -1. Suppose -4 + 3 = a. Let q(y) = 2*y**2 + 4*y - 3. Let p(m) = a*q(m) + 3*z(m). Factor p(k).
-2*k*(k + 2)
Let u(y) = -3*y**4 + 6*y**3 + 6*y**2 - 3*y. Let a(g) = 2*g**4 - 6*g**3 - 6*g**2 + 2*g. Let z(x) = -5*a(x) - 4*u(x). Factor z(d).
2*d*(d + 1)**3
Let s(o) be the second derivative of o**6/180 - o**4/12 + o**3/6 - 5*o. Let n(k) be the second derivative of s(k). Suppose n(y) = 0. What is y?
-1, 1
Let z(f) be the second derivative of f**4/114 + 2*f**3/19 + 9*f**2/19 - 8*f. Factor z(q).
2*(q + 3)**2/19
Let f = 5 - 0. Factor 3 + 5*w**2 - f - 6*w**2 + 3.
-(w - 1)*(w + 1)
Let f be 15/4 + (-10)/(-40) + -4. Factor f - o + 3/2*o**4 + 1/2*o**5 + 1/2*o**3 - 3/2*o**2.
o*(o - 1)*(o + 1)**2*(o + 2)/2
Factor 16 - 10*n**2 - 4*n**4 - n**3 + 17*n**3 - 16*n - 2*n**2.
-4*(n - 2)**2*(n - 1)*(n + 1)
Suppose 0 = -9*b + 7*b + 2. Let f(t) be the first derivative of b + t - 1/4*t**2 - 1/6*t**3. Factor f(g).
-(g - 1)*(g + 2)/2
Let c(n) = n**2 + 8*n + 7. Let j be 5/(-15)*(2 - -19). Let m be c(j). Find b such that 0*b - 2/3*b**2 + m - 2/3*b**4 - 4/3*b**3 = 0.
-1, 0
Suppose 2*g = -0 + 6. Let n(m) be the first derivative of -2*m - 1 + 4*m**g + 2*m - 5*m**3. Solve n(q) = 0 for q.
0
Let m(f) = f - 7. Let v be m(10). Solve d**5 - d**3 + d**3 + v*d**4 + d**2 + 3*d**3 = 0.
-1, 0
Let u(o) be the third derivative of o**7/945 - o**5/90 + o**4/54 + o**2. Factor u(r).
2*r*(r - 1)**2*(r + 2)/9
Let j(w) be the third derivative of -w**5/20 + w**3/2 - 2*w**2. Factor j(f).
-3*(f - 1)*(f + 1)
Determine v so that -3*v**3 - 3*v**4 + 2*v**4 + 3*v - v**4 + 5*v**4 - 3*v**2 = 0.
-1, 0, 1
Factor 3*z**2 + 2*z - 2*z**2 - 2*z**2 - 4*z - 1.
-(z + 1)**2
Suppose 7*h = 8*h - 3. Let k(c) be the second derivative of 0*c**h + c - 1/2*c**2 + 1/12*c**4 + 0. Factor k(d).
(d - 1)*(d + 1)
Let u(x) be the first derivative of x**7/21 - 19*x**5/150 - x**4/10 + 3*x**2 + 7. Let p(h) be the second derivative of u(h). Solve p(o) = 0.
-3/5, -2/5, 0, 1
Factor -7/4*d**2 - 2 - 15/2*d.
-(d + 4)*(7*d + 2)/4
Let b(n) be the second derivative of -n**4/30 + 28*n**3/15 - 196*n**2/5 + n + 19. Determine x, given that b(x) = 0.
14
Let w be -17 + 16 + 10/6. Let v(j) be the first derivative of 3 - 2*j**2 + 0*j + w*j**3. Factor v(a).
2*a*(a - 2)
Suppose 2*n = -4*o + 28, 0 = -2*n - 5*o + 4*o + 13. Suppose 1/3*k**2 + 0 + 0*k + 0*k**3 - 1/3*k**n = 0. Calculate k.
-1, 0, 1
Let p(t) be the second derivative of 0*t**2 - t + 0 + 0*t**4 + 1/6*t**3 - 1/20*t**5. Solve p(b) = 0.
-1, 0, 1
Suppose -21*o**2 + 2*o**3 + 0*o**3 + 29*o**2 = 0. Calculate o.
-4, 0
Let v(g) = g + 3. Let x be v(-3). Let i be 2 - -2 - 2/1. Suppose -8/3*l**4 - 2/3*l**i + 10/3*l**3 + 0 + x*l = 0. Calculate l.
0, 1/4, 1
Suppose -44/7*h**3 + 0 + 2/7*h - 5/7*h**4 + 5/7*h**2 + 6*h**5 = 0. What is h?
-1, -1/6, 0, 2/7, 1
Determine o so that 12/5*o - 13/5*o**2 - 1/5*o**4 + 6/5*o**3 - 4/5 = 0.
1, 2
Let g(h) be the second derivative of -h**4/28 + 3*h**3/14 + 6*h**2/7 + 25*h. Determine m so that g(m) = 0.
-1, 4
Factor 12/5*g**2 + 4*g**3 + 0*g - 8/5*g**4 + 0.
-4*g**2*(g - 3)*(2*g + 1)/5
Solve 0*g - 2/5*g**2 + 2/5 = 0.
-1, 1
Let s(b) = -b**2 + 4*b + 2. Let p be s(4). Factor 2*a**p + 3*a**3 + 4*a**2 - 7*a**3 + 2*a**2.
-4*a**2*(a - 2)
Let q(x) be the second derivative of -3*x**5/20 + 7*x**4/12 - 2*x**2 + 33*x. Determine h, given that q(h) = 0.
-2/3, 1, 2
Let t(n) be the third derivative of -n**6/240 + n**5/20 - 3*n**4/16 + n**3/3 - 23*n**2. Factor t(g).
-(g - 4)*(g - 1)**2/2
Let r be 28/21*(-19862)/24. Let i = r - -1105. Factor -4/9*p**5 - 2/9 + i*p**4 - 16/9*p**3 + 4/9*p + 4/9*p**2.
-2*(p - 1)**4*(2*p + 1)/9
Let p(a) be the third derivative of 0 + 0*a**4 + 0*a**3 + 0*a**6 + 7*a**2 + 0*a + 2/105*a**7 - 1/15*a**5. Determine k so that p(k) = 0.
-1, 0, 1
Let i(q) be the first derivative of 1/2*q**4 + 4/9*q**3 - 4*q**2 - 1 - 2/15*q**5 + 16/3*q. Solve i(s) = 0 for s.
-2, 1, 2
Let w = 1 - -1. Factor 4*i**3 + 3*i**3 - 3*i**3 - w*i**4.
-2*i**3*(i - 2)
Let h(c) be the first derivative of c**8/168 - c**6/20 - c**5/15 - c**2 + 3. Let o(s) be the second derivative of h(s). Factor o(b).
2*b**2*(b - 2)*(b + 1)**2
Suppose 5*i = 7 + 13. Let c(r) = -r**2 + 1. Let h be c(-1). Factor h + 1/5*x + 4/5*x**5 + 3*x**3 + 7/5*x**2 + 13/5*x**i.
x*(x + 1)**3*(4*x + 1)/5
Let b be 1 - -4*2/(-2). Let r be b/4 + (-6)/(-8). Factor 2/7*g**3 - 4/7*g**2 + r*g + 0 + 2/7*g**4.
2*g**2*(g - 1)*(g + 2)/7
Let a(c) = c**2 + 9*c + 5. Let i be a(-5). Let l be (-6)/i*(-15)/(-3). Solve l*o**2 - o**2 - 4 - 1 + 3 + o = 0.
-2, 1
Let y be 15/6*-2 + 10. Let n(s) be the third derivative of 1/60*s**y - 3*s**2 - 1/3*s**3 + 0*s - 1/24*s**4 + 0. Solve n(r) = 0.
-1, 2
Let t(g) be the second derivative of -g**6/210 - g**5/70 + g**4/42 + g**2 - g. Let c(f) be the first derivative of t(f). Let c(q) = 0. Calculate q.
-2, 0, 1/2
Let w(j) be the second derivative of j**6/360 - j**5/40 + j**4/12 + j**3/2 + 2*j. Let a(v) be the second derivative of w(v). Factor a(z).
(z - 2)*(z - 1)
Let i be 1 + 0 - 3 - 0. Let u be (8/(-12))/(i/6). Suppose -p**3 + p - 2*p**4 - 2*p**2 + p**4 + 3*p**u = 0. What is p?
-1, 0, 1
Suppose -9 = -5*z + 1. Factor 1 - 6*c - 5*c**z + 20*c**4 + 3*c - 16*c**4 + 3*c**3.
(c - 1)*(c + 1)**2*(4*c - 1)
Let b(n) be the third derivative of -n**5/60 + n**4/12 + 29*n**2. Factor b(v).
-v*(v - 2)
Let g = -8 - -6. Let b be ((-3)/g)/((-15)/(-4)). Solve -1/5 + b*w - 1/5*w**2 = 0.
1
Let s = -43 + 45. Let f(v) be the third derivative of 0*v**3 + 0*v + 1/60*v**5 - 1/48*v**4 - 1/240*v**6 - 2*v**s + 0. What is k in f(k) = 0?
0, 1
Let c(f) = -3*f**3 - 3*f**2 + 3. Let w(o) = -6*o**3 - 6*o**2 + o + 6. Let p(z) = 5*c(z) - 3*w(z). Solve p(v) = 0 for v.
-1, 1
Let h(q) be the third derivative of q**10/30240 - q**9/30240 - q**8/4032 + q**7/2520 + q**5/60 + 2*q**2. Let c(g) be the third derivative of h(g). Factor c(s).
s*(s - 1)*(s + 1)*(5*s - 2)
Let p be (-2 + 60/25)*10/12. Determine 