ctor -2/3*v**3 + 2/3*v + 2/3*v**4 + 0 - 2/3*v**2.
2*v*(v - 1)**2*(v + 1)/3
Let i(g) be the second derivative of g**4/4 - 2*g**3 + 9*g**2/2 - 28*g. Factor i(o).
3*(o - 3)*(o - 1)
Let -16/7 - 260/7*p**3 - 16*p - 272/7*p**2 - 75/7*p**4 = 0. What is p?
-2, -2/3, -2/5
Suppose 7*u = -2*u + 45. Let z(q) be the third derivative of 0 - 1/480*q**6 + 1/840*q**7 + q**2 + 1/96*q**4 + 0*q**3 + 0*q - 1/240*q**u. Factor z(c).
c*(c - 1)**2*(c + 1)/4
Let t(v) be the first derivative of v**6/300 - 7*v**5/150 + v**4/4 - 3*v**3/5 + 7*v**2/2 - 8. Let s(i) be the second derivative of t(i). Factor s(z).
2*(z - 3)**2*(z - 1)/5
Let i be (-4)/(-5) - 1149/1440. Let n(h) be the third derivative of i*h**6 + 0*h - 1/80*h**5 + h**2 - 1/24*h**3 + 1/32*h**4 + 0. Find g such that n(g) = 0.
1
Let i = 1/381 + 211/254. Let p(c) be the first derivative of 5/6*c**4 - 10/9*c**3 + i*c**2 - 1 - 1/3*c + 1/18*c**6 - 1/3*c**5. Factor p(f).
(f - 1)**5/3
Let s(x) be the first derivative of 5*x**6/6 - 2*x**5 + 5*x**4/4 + 13. Factor s(l).
5*l**3*(l - 1)**2
Let o(u) be the first derivative of 1/3*u**3 + 0*u + 0*u**2 - 2. Determine c, given that o(c) = 0.
0
Let n(y) be the first derivative of -1/10*y**5 + 0*y**2 + 1/6*y**3 + 0*y + 0*y**4 + 1. Factor n(p).
-p**2*(p - 1)*(p + 1)/2
Let d be 10/(-6)*(-6)/2. Let r(v) be the first derivative of -5/2*v**2 - 2 + v**d + v - 1/6*v**6 + 10/3*v**3 - 5/2*v**4. Suppose r(j) = 0. What is j?
1
Let j(x) = -x**2 - x. Let y(f) = -2*f**4 + 2*f**3 + 7*f**2 + 3*f. Let q(a) = -5*j(a) - y(a). Factor q(m).
2*m*(m - 1)**2*(m + 1)
Let q = 75 + -75. Factor 1/5*b**3 + q*b**2 - 3/5*b - 2/5.
(b - 2)*(b + 1)**2/5
Let o(k) = -70*k**3 - 925*k**2 - 3275*k - 4480. Let u(v) = -5*v**3 - 66*v**2 - 234*v - 320. Let t(w) = -6*o(w) + 85*u(w). Factor t(f).
-5*(f + 4)**3
Let b(u) = -u**2 + 6*u. Let k be b(5). Factor -24 + k*m**2 - 2*m**4 + 24 - 3*m**2.
-2*m**2*(m - 1)*(m + 1)
Factor 0 + 2/11*k**5 + 2/11*k**2 + 0*k - 2/11*k**4 - 2/11*k**3.
2*k**2*(k - 1)**2*(k + 1)/11
Let y(t) be the third derivative of t**5/140 - t**4/7 + 8*t**3/7 - 5*t**2. Determine w, given that y(w) = 0.
4
Let q(m) be the second derivative of 0*m**2 - 1/30*m**6 + 6*m + 0 - 3/4*m**4 + 0*m**3 - 3/10*m**5. Solve q(i) = 0.
-3, 0
Let m(s) be the first derivative of s**5/25 + 4. Factor m(q).
q**4/5
Let p(y) be the first derivative of y**7/105 - y**6/25 + 3*y**5/50 - y**4/30 + y + 3. Let h(d) be the first derivative of p(d). Let h(x) = 0. Calculate x.
0, 1
Let t(j) be the first derivative of j**4/2 - 4*j**3/3 - 5. Factor t(h).
2*h**2*(h - 2)
Let m be (-1 + 1)/2 + 2. Let y(n) = n**3 + 1. Let s(j) = j**4 + 2*j**3 - j**2 + 2. Let q(d) = m*y(d) - s(d). Factor q(k).
-k**2*(k - 1)*(k + 1)
Factor -27*k**3 - 1372*k**4 + 1369*k**4 - 7*k - 33*k**2 - 5*k + 3*k**5.
3*k*(k - 4)*(k + 1)**3
Let i(m) be the second derivative of -m**4/54 + 4*m**3/27 - m**2/3 + 6*m. What is q in i(q) = 0?
1, 3
Let k(g) = -3*g**2 - 3. Suppose 2*y = -q, 2*q + q = -y + 5. Let s(u) = -u**3 - 4*u**2 - 2. Let x(l) = q*k(l) - 3*s(l). Factor x(b).
3*b**2*(b + 2)
Let k(l) be the third derivative of 1/90*l**5 + 0*l + 0*l**4 + 5*l**2 + 0*l**3 - 1/504*l**8 - 1/315*l**7 + 0 + 1/180*l**6. Determine n, given that k(n) = 0.
-1, 0, 1
Let y(x) be the second derivative of -x**5/20 - x**4/6 + x**3/6 + x**2 + 5*x. Factor y(j).
-(j - 1)*(j + 1)*(j + 2)
Let y(u) be the first derivative of -u**3 - 3*u**2/2 + 18*u - 3. Suppose y(o) = 0. Calculate o.
-3, 2
Let w(h) be the first derivative of 4*h**3/3 - 4*h + 9. Let w(g) = 0. Calculate g.
-1, 1
Let b = 56 + -53. Let y(a) be the second derivative of 1/30*a**4 + 1/10*a**2 + 0 - 1/10*a**b + a. Let y(l) = 0. Calculate l.
1/2, 1
Let v be -1 + (-46)/(-14) - 4/2. Solve 0 + v*x + 2/7*x**3 - 4/7*x**2 = 0.
0, 1
Let d(k) be the third derivative of 5/96*k**4 + 0 - 3*k**2 + 1/24*k**3 + 0*k + 1/60*k**5. Factor d(x).
(x + 1)*(4*x + 1)/4
Let h(p) be the first derivative of p**5/80 - p**4/12 + 5*p**3/24 - p**2/4 + 2*p - 2. Let d(r) be the first derivative of h(r). Factor d(z).
(z - 2)*(z - 1)**2/4
Let z(t) = -t**2 - 19*t - 15. Let f be z(-18). Solve -2/3*a**4 - 2/3*a**f + 0 + 2/3*a**2 + 2/3*a = 0.
-1, 0, 1
Let h = 3724 - 78119/21. Let o = 13/3 - h. Factor o*u**4 + 4/7*u - 2/7 + 0*u**2 - 4/7*u**3.
2*(u - 1)**3*(u + 1)/7
Let y(b) be the first derivative of -4/5*b**5 + 0*b - 5 + 0*b**3 - 1/4*b**4 + 0*b**2 - 2/3*b**6. Factor y(w).
-w**3*(2*w + 1)**2
Let c(g) be the second derivative of -2*g**6/75 - g**5/20 + g**4/20 + g**3/6 + g**2/10 + 8*g. Suppose c(p) = 0. Calculate p.
-1, -1/4, 1
Let t(q) be the first derivative of 2 + 0*q - 1/6*q**3 - 1/4*q**2. Factor t(y).
-y*(y + 1)/2
Let v(u) = -u**3 + 2*u**2 + 4*u + 5. Let p be v(-2). Suppose 0 = -2*q + 17 - p. Factor 8/9*x**q - 2/9*x**5 - 4/3*x**3 - 2/9*x + 8/9*x**4 + 0.
-2*x*(x - 1)**4/9
Let m = 113 + -110. What is u in -1/3*u**2 - m - 2*u = 0?
-3
Let f(m) = -m**3 - 4*m**2 + 4*m - 3. Let g(s) = -2*s + 15. Let u be g(10). Let k be f(u). What is q in -q**3 + 3*q**k - q - 2*q**3 - 4*q**4 + 5*q**4 = 0?
0, 1
Let f = -3882/7 - -556. Let 0*t + f*t**5 - 10/7*t**3 + 0 + 4/7*t**4 - 4/7*t**2 = 0. What is t?
-1, -2/5, 0, 1
Let a be 2766/45 - 2/(-6). Let t = -61 + a. What is q in t - 2/5*q**3 - 4/5*q**2 + 2/5*q = 0?
-2, -1, 1
Let h(q) be the second derivative of 0 + 1/21*q**4 + 0*q**3 + 0*q**5 - 1/7*q**2 + q - 1/105*q**6. Factor h(c).
-2*(c - 1)**2*(c + 1)**2/7
Let c(p) = -p**3 + p + 1. Let j(b) = 15*b - 7*b - 3*b**4 + 3*b**2 + 0*b**3 + 2 + 0*b**4 - 8*b**3. Let t(g) = -2*c(g) + j(g). Let t(n) = 0. Calculate n.
-2, -1, 0, 1
Let m(i) be the first derivative of -i**3/4 - 3*i**2/2 - 3*i + 6. Factor m(x).
-3*(x + 2)**2/4
Let x(i) be the third derivative of 3*i**3/2 - 5*i**2. Let o(k) = -k**2 - k - 1. Let w(c) = -3*o(c) - x(c). Let w(u) = 0. What is u?
-2, 1
Suppose 23 = 5*f + 8. Suppose -13 = -5*v - f. Find b such that 1/2 + 3*b + 9/2*b**v = 0.
-1/3
Let b(j) = -5*j**3 - 12*j**2 - 15*j - 5. Let o(n) = 10*n**3 + 23*n**2 + 30*n + 10. Let u(t) = 7*b(t) + 3*o(t). Factor u(m).
-5*(m + 1)**3
Suppose -z = 4*l + 16, 0 = 3*z - 6*z - 4*l - 16. Factor 12/5*c**4 + 4/5*c**2 + z - 12/5*c**3 - 4/5*c**5 + 0*c.
-4*c**2*(c - 1)**3/5
Determine z, given that 3*z + 1 - z**5 - 1 + 3*z**4 + 4 - 5 - 2*z**3 - 2*z**2 = 0.
-1, 1
Let b be (-2 + 0/(-2))*1. Let q be (-1 - b - 2) + 3. Let -9*u - q*u**3 - 2*u**4 + 9*u = 0. Calculate u.
-1, 0
Let p(f) = -f**3 - 7*f**2 + f + 7. Let x be p(-7). Find q such that x*q**2 + 2 + q**3 + 6*q**2 - 2*q**2 + 5*q = 0.
-2, -1
Suppose t + 3*t = 2*f, 3*t = -f. Let y(v) be the first derivative of 2/9*v**5 + 1 + f*v + 1/9*v**4 - 2/9*v**2 - 10/27*v**3. Let y(k) = 0. Calculate k.
-1, -2/5, 0, 1
Factor -6/11*g - 2/11*g**3 + 2/11 + 6/11*g**2.
-2*(g - 1)**3/11
Factor -9*y - 3*y**2 + 3*y**2 - 6 + 0*y**2 - 3*y**2.
-3*(y + 1)*(y + 2)
Let z(c) be the first derivative of -c**6/2340 - c**5/260 - c**3 + 2. Let w(a) be the third derivative of z(a). Suppose w(k) = 0. What is k?
-3, 0
Let x(c) = -c**4 - 11*c**3 - 11*c**2 + 5*c + 12. Let q(s) = -2*s**4 - 23*s**3 - 23*s**2 + 10*s + 25. Let o(n) = 6*q(n) - 13*x(n). Suppose o(k) = 0. Calculate k.
-3, -2, -1, 1
Factor 2*b**3 - b**4 - 265*b + 265*b - b**2.
-b**2*(b - 1)**2
Let p(z) be the second derivative of -z**4/18 + 2*z**3/9 - z**2/3 + 19*z. Factor p(f).
-2*(f - 1)**2/3
Suppose 0*y - 20 = -j - 4*y, -2*j + y = 5. Factor -1/5*x**3 + j - 1/5*x - 2/5*x**2.
-x*(x + 1)**2/5
Let p(m) be the first derivative of m**7/42 - m**6/15 + m**4/6 - m**3/6 + m + 3. Let s(q) be the first derivative of p(q). Let s(k) = 0. Calculate k.
-1, 0, 1
Let c(y) = -2*y**2 - 2*y. Suppose -r = -0*r + 2. Let a(p) = -p. Let u(l) = r*c(l) + 2*a(l). Factor u(x).
2*x*(2*x + 1)
Let g be (2/5)/((-4)/(-20)). Let c(k) = k**2 + 5*k + 3. Let i be c(-5). Factor 0*z**3 + g*z**i + z**2 + 0*z**3 + z**4.
z**2*(z + 1)**2
Let m be (-1)/4 + (-18)/(-8). Factor 21 + 20*b**3 + 10*b**4 + m*b + 2*b**5 - 19 + 8*b + 20*b**2.
2*(b + 1)**5
Let f(g) be the first derivative of -g**5/80 + 3*g**4/16 - 9*g**3/8 + 27*g**2/8 - 6*g - 1. Let q(c) be the first derivative of f(c). Solve q(i) = 0 for i.
3
Let j(i) be the first derivative of i**5/5 - 2*i**4 + 22*i**3/3 - 12*i**2 + 9*i + 6. Factor j(s).
(s - 3)**2*(s - 1)**2
Let i = 141 + -136. Let w(f) be the third derivative of f**2 + 0*f + 0 - 1/108*f**4 - 1/270*f**i + 2/27*f**3. Factor w(l).
-2*(l - 1)*(l + 2)/