or v(o).
2*o*(o + 2)/7
Let h(f) = f**3 - 4*f**2 - 4*f - 1. Let c be h(5). Suppose -2 = -c*p + 6. Find o such that -p*o**3 + 7*o - 7*o = 0.
0
Let m be (8/(-20))/((-19)/5 - -3). Factor 0 + m*g**3 - g + 1/2*g**2.
g*(g - 1)*(g + 2)/2
Let s = 4 - 10. Let q be 2/(-8)*s*2. Factor -11*a - 45/2*a**2 - 27/4*a**4 - 81/4*a**q - 2.
-(a + 1)*(3*a + 2)**3/4
Let c(p) be the second derivative of 4*p**4/9 - 4*p**3/3 + 3*p**2/2 + p. Factor c(j).
(4*j - 3)**2/3
Let m(f) be the third derivative of f**5/20 + f**4/2 + 2*f**3 - 8*f**2. Factor m(g).
3*(g + 2)**2
Let s be ((-128)/(-12) - (-10)/(-2)) + -5. Suppose -5*y = -3*j, 4*j - 20 = y - 3. Factor 0*t**2 + 0*t + 0 - s*t**4 - 2/3*t**y.
-2*t**3*(t + 1)/3
Let n(w) = w + 16. Let k be n(-11). Find c, given that 5*c**5 - 6*c**k - 2*c**4 + c**4 = 0.
-1, 0
Solve 1/3*b**3 + 1/3*b + 0 - 1/2*b**4 + 7/6*b**2 = 0 for b.
-1, -1/3, 0, 2
Suppose 2*z + 2*p + 2*p - 8 = 0, 5*p - 12 = -3*z. Factor -6*a**3 + 9*a**4 - 6*a**2 + 3 - a**5 + 0*a**2 - 6*a**4 + z*a**5 + 3*a.
3*(a - 1)**2*(a + 1)**3
Suppose -4*r = 12, 3*w + 50 = 2*r + 65. Solve -c**w + c + 1/2 + 0*c**2 - 1/2*c**4 = 0.
-1, 1
Let y(b) be the third derivative of b**7/105 - b**6/180 - b**5/15 + b**4/12 - 7*b**3/6 - 8*b**2. Let t(g) be the first derivative of y(g). Factor t(i).
2*(i - 1)*(i + 1)*(4*i - 1)
Factor 1/4*y**2 + 1/4 + 1/2*y.
(y + 1)**2/4
Let k(b) be the third derivative of 2*b**2 + 0 + 0*b - 1/240*b**6 + 0*b**3 + 0*b**4 - 1/120*b**5. Factor k(u).
-u**2*(u + 1)/2
Let j(n) be the first derivative of -n**4/40 - n**3/10 - 3*n**2/20 - n/10 + 5. Factor j(o).
-(o + 1)**3/10
Solve -2/3 - 2/3*s**3 - 2*s - 2*s**2 = 0 for s.
-1
Let k(c) = c**3 + 8*c**2 - c - 10. Let l be k(-8). Let n be (-8)/(l/1 - 0). Factor -2*y**n - 2*y**3 + 3*y - 3*y.
-2*y**3*(y + 1)
Let j(h) = 15*h**5 - 8*h**4 - 31*h**3 - 35*h**2 - 13*h + 7. Let o(k) = -8*k**5 + 4*k**4 + 15*k**3 + 18*k**2 + 7*k - 4. Let g(l) = 4*j(l) + 7*o(l). Factor g(b).
b*(b - 3)*(b + 1)*(2*b + 1)**2
Let d = 47 + -45. Factor -3/2*n**d + 3/2*n + 1/2*n**3 - 1/2.
(n - 1)**3/2
Factor 7*m + 3*m**2 - 2*m**3 - m**4 - 2*m**2 - 5*m.
-m*(m - 1)*(m + 1)*(m + 2)
Let y(u) be the second derivative of -5*u**6/24 + 13*u**5/16 - 5*u**4/12 - 5*u**3/6 + 2*u + 6. Suppose y(m) = 0. What is m?
-2/5, 0, 1, 2
Let x(r) be the first derivative of r**4/12 + r**3/9 - r**2/6 - r/3 - 2. Factor x(t).
(t - 1)*(t + 1)**2/3
Let x(h) be the first derivative of -2*h**5/5 + 4*h**4 - 46*h**3/3 + 28*h**2 - 24*h - 31. Factor x(l).
-2*(l - 3)*(l - 2)**2*(l - 1)
Let z be 12/3*3/6. Let b(t) be the second derivative of 0 - 1/15*t**3 - 1/75*t**6 - t + 0*t**z + 1/30*t**4 + 1/50*t**5. Find r, given that b(r) = 0.
-1, 0, 1
Let o(m) = -29*m**2 + m - 6. Let t(d) = 5*d**2 + 1. Let y(w) = -6*o(w) - 34*t(w). Solve y(q) = 0 for q.
1/2, 1
Let z(l) = 2*l**3 + l. Let v(w) be the third derivative of w**6/24 + w**4/24 + 3*w**2. Let q(d) = 3*v(d) - 7*z(d). Factor q(c).
c*(c - 2)*(c + 2)
Let -3/7*t - 1/7*t**3 + 9/7 - 5/7*t**2 = 0. What is t?
-3, 1
Let d(z) be the third derivative of -z**8/336 + z**6/120 - 19*z**2. Factor d(u).
-u**3*(u - 1)*(u + 1)
Let k(d) be the second derivative of d**5/100 - d**3/10 + d**2/5 + 8*d. Factor k(i).
(i - 1)**2*(i + 2)/5
Let t(m) be the third derivative of m**8/672 - m**7/84 + m**6/30 - m**5/30 - 6*m**2. Let t(s) = 0. What is s?
0, 1, 2
Suppose -5*o**2 + 9*o**3 + 9*o**3 - 15*o**4 - 3*o**3 + 5*o**5 = 0. Calculate o.
0, 1
Let m = -4 + 8. Let d be (8/6)/(m/6). Factor 3*z + z**3 - 7*z**3 - 5*z + 2*z**4 + 6*z**d.
2*z*(z - 1)**3
Let d(a) be the second derivative of -a**6/9 + 7*a**5/30 - a**4/9 + 18*a. Factor d(p).
-2*p**2*(p - 1)*(5*p - 2)/3
Suppose 0 = 3*z - 2*z - 2. Let c(h) = -h**2 + 4*h - 2. Let o be c(z). Factor 2 + 3*l**2 - o*l - 1 - 2*l.
(l - 1)*(3*l - 1)
Let m = -7054/7 - -1008. Factor 0 + 1/7*h**2 - 1/7*h**3 + m*h.
-h*(h - 2)*(h + 1)/7
Suppose 2*g = 4*g. Suppose 3*s - 3*o = 18, -o + 3 = 2*s - g. Suppose 2/7*w**5 + 0 - 2/7*w**s + 0*w + 2/7*w**2 - 2/7*w**4 = 0. What is w?
-1, 0, 1
Let u(q) = -q**3 + 5*q**2 + 5*q + 8. Let j be u(6). Let n(r) be the third derivative of 1/18*r**3 + 0*r + 0*r**4 - 1/180*r**5 + 0 + j*r**2. Factor n(a).
-(a - 1)*(a + 1)/3
Let c be 72/20 + (-3)/5. Let l(v) be the second derivative of -v**2 - 4*v + 1/12*v**4 - 1/6*v**c + 0. Factor l(q).
(q - 2)*(q + 1)
Let p(y) = 8*y**2 + 36*y + 4. Let w(c) = -c**2 - c - 1. Let h(n) = p(n) + 4*w(n). Suppose h(v) = 0. Calculate v.
-8, 0
Suppose 4/7*t**4 + 16/7*t**3 + 0 + 0*t + 12/7*t**2 = 0. Calculate t.
-3, -1, 0
Let a(l) be the second derivative of -3*l**5/100 - l**4/10 + l**3/10 + 3*l**2/5 - 11*l. Factor a(t).
-3*(t - 1)*(t + 1)*(t + 2)/5
Let r(y) be the first derivative of -y**4/22 - 4*y**3/33 + y**2/11 + 4*y/11 + 62. Factor r(l).
-2*(l - 1)*(l + 1)*(l + 2)/11
Let m(i) be the third derivative of i**6/360 - i**5/30 + 16*i**3/9 + 22*i**2. Solve m(h) = 0 for h.
-2, 4
Let j(x) be the third derivative of -3/616*x**8 + 0*x + 1/330*x**6 - 7/165*x**5 + 0 - 1/33*x**3 + 4*x**2 + 7/132*x**4 + 1/77*x**7. Solve j(h) = 0 for h.
-1, 1/3, 1
Find c such that 0 + 0*c + 2/7*c**5 + 10/7*c**3 - 8/7*c**4 - 4/7*c**2 = 0.
0, 1, 2
Let x(v) be the first derivative of -6 - 1/2*v**2 - 1/3*v**3 + 2*v. Find j such that x(j) = 0.
-2, 1
Let k(p) be the second derivative of p**5/15 - p**4/9 - 32*p**3/9 - 40*p**2/3 - 24*p. Solve k(j) = 0 for j.
-2, 5
Let r(f) be the second derivative of -f**6/60 - f**5/40 + f**4/8 + 5*f**3/12 + f**2/2 + f + 12. Find o such that r(o) = 0.
-1, 2
Let n(y) be the first derivative of 3/7*y**2 - 1/21*y**6 + 2/7*y - 6/35*y**5 - 2 + 4/21*y**3 - 1/7*y**4. Factor n(h).
-2*(h - 1)*(h + 1)**4/7
Let j(w) = 2*w - 1. Let g be j(3). Let f = g - 3. Factor -6*l**3 + 6*l**f + l**2 - l - 3*l**2 + 4*l**4 - l**5.
-l*(l - 1)**4
Let k(r) be the third derivative of -1/525*r**7 + 0*r**6 + r**2 + 0*r**3 + 1/30*r**4 + 0*r + 1/50*r**5 + 0. Factor k(x).
-2*x*(x - 2)*(x + 1)**2/5
Let o(l) be the third derivative of l**7/105 - l**6/30 - l**5/30 + l**4/6 + 11*l**2. Let o(i) = 0. What is i?
-1, 0, 1, 2
Let i be 6/10*(1734/432 + -4). Let h(j) be the third derivative of 0 - i*j**5 + 0*j**4 + 0*j + 2*j**2 + 1/12*j**3. Determine w, given that h(w) = 0.
-1, 1
Let l(q) be the third derivative of q**5/120 + q**4/6 + 31*q**2. Let l(p) = 0. What is p?
-8, 0
Let g(y) be the first derivative of -y**4/4 - 4*y**3/3 - 5*y**2/2 - 2*y - 12. Find x, given that g(x) = 0.
-2, -1
Let p = 7 - 8. Let t be (-1)/(1/(-1)) - p. Solve 3*f - f**3 + 2 - 2 + t = 0 for f.
-1, 2
Let f(z) be the second derivative of -z**6/90 - 2*z**5/15 - 11*z**4/18 - 4*z**3/3 - 3*z**2/2 - 2*z + 10. Let f(n) = 0. What is n?
-3, -1
Let f(c) be the second derivative of -c**7/84 + c**5/40 + 2*c - 31. Factor f(x).
-x**3*(x - 1)*(x + 1)/2
Let r(d) = 3*d**4 - 9*d**3 + d**2 + 11*d + 8. Let z(w) = -w**4 + 4*w**3 - w**2 - 6*w - 4. Let k(p) = 4*r(p) + 10*z(p). Solve k(h) = 0.
-2, -1, 2
Let j(v) = v - 1. Let f be j(4). Suppose -4*q + 0*z - 3*z = -f, -5*z = -5. Factor q*u**4 + u**4 - 3*u**4 - 2*u**3.
-2*u**3*(u + 1)
Let x(b) be the second derivative of -b + 0*b**2 - 1/20*b**4 + 3/50*b**5 + 0 - 1/5*b**3 + 1/50*b**6. Factor x(w).
3*w*(w - 1)*(w + 1)*(w + 2)/5
Let u(p) be the second derivative of 0 + 1/160*p**6 + 1/96*p**4 + p**2 - p - 1/48*p**5 + 1/24*p**3. Let j(w) be the first derivative of u(w). Factor j(n).
(n - 1)**2*(3*n + 1)/4
Factor -48*t - 72*t**3 - 2531*t**2 + 2627*t**2 + 16*t**4 - 3*t**5 + 8*t**4.
-3*t*(t - 2)**4
Let l(r) be the third derivative of r**8/840 - r**3/2 - 3*r**2. Let w(q) be the first derivative of l(q). Find v such that w(v) = 0.
0
Let l(c) be the first derivative of c**5/40 - c**4/16 + c**2/8 - c/8 + 2. Factor l(d).
(d - 1)**3*(d + 1)/8
Let z = 0 - 1. Let k = z + 3. Let -3*m + k*m**2 + 3*m = 0. What is m?
0
Let q(p) be the third derivative of -p**7/840 - p**6/360 + p**3/3 + 3*p**2. Let z(l) be the first derivative of q(l). Determine s, given that z(s) = 0.
-1, 0
Suppose 2*t = -i + 3, 13*i - 12 = -4*t + 9*i. What is u in 0*u + 1/2*u**4 + 0 + t*u**3 - 1/2*u**2 = 0?
-1, 0, 1
Let k = 169/4 + -40. Determine q, given that -k*q**4 + 0*q + 0 - 3*q**3 - q**2 = 0.
-2/3, 0
Suppose 5*h - 2*u - 2 = 0, -h + u = 6*u + 5. Factor 0*p + 0*p**2 + h - 2/9*p**3.
-2*p**3/9
Let 187*r + 8*r**2 - 2*r**2 - 4 - 183*r + 2*r**2 = 0. Calculate r.
-1, 1/2
Suppose -2*c + 31 = -5*h, 2*c - 5*h = -2*c + 37.