 Factor i(t).
2*t*(t - 1)*(t + 1)**3/7
Factor 1/3*l + 0 - 4/3*l**3 - l**2.
-l*(l + 1)*(4*l - 1)/3
Let n(r) be the third derivative of -r**8/56 - 4*r**7/105 + 13*r**6/60 + r**5/5 - 5*r**4/3 + 8*r**3/3 + 2*r**2. Find d such that n(d) = 0.
-2, 2/3, 1
Let z(x) = -2*x. Let s be z(-1). Let c(p) be the second derivative of 0*p**s - 1/10*p**5 - p + 0 - 1/30*p**6 - 1/12*p**4 + 0*p**3. Let c(j) = 0. Calculate j.
-1, 0
Let s(r) be the third derivative of -r**8/84 + 2*r**7/105 + r**6/30 - r**5/15 + r**2. Factor s(i).
-4*i**2*(i - 1)**2*(i + 1)
Factor 4/17*l**4 - 4/17 - 16/17*l**2 - 4/17*l**3 - 14/17*l + 2/17*l**5.
2*(l - 2)*(l + 1)**4/17
Let j(i) be the second derivative of -i**6/27 - 2*i**5/15 - i**4/6 - 2*i**3/27 + 2*i. Let j(c) = 0. Calculate c.
-1, -2/5, 0
Let p(n) = -4*n + 16. Let t be p(4). Determine k, given that k - 1/2*k**2 + t = 0.
0, 2
Factor -3*y + 0*y**2 + y**2 + 0*y + y.
y*(y - 2)
Let z = 852 + -4257/5. Find q, given that 0*q - z*q**2 + 0 = 0.
0
Let l(q) be the second derivative of 18*q**2 + 1/3*q**4 + 4*q**3 + 0 - 11*q. Determine j so that l(j) = 0.
-3
Let r = -14 - -6. Let n = -8 - r. Factor 1/2*o**2 + n + 0*o.
o**2/2
Let p(v) be the second derivative of -8*v**5/25 - 28*v**4/15 + 31*v**3/15 - 4*v**2/5 + 8*v. What is s in p(s) = 0?
-4, 1/4
Suppose 0 = -3*j + 191 + 121. Let t be 2/(-5) + j/60. Factor 1/3*s**4 + t - 4/3*s - s**2 + 2/3*s**3.
(s - 1)**2*(s + 2)**2/3
Let s(r) = r - 1. Let u(c) = 625*c**4 + 1500*c**3 + 1350*c**2 + 536*c + 85. Let h(g) = -12*s(g) - 3*u(g). Determine i so that h(i) = 0.
-3/5
Let j be (-2 - -2)*1/(-4). Factor 4/3*i**2 + j + 0*i - 2/3*i**3.
-2*i**2*(i - 2)/3
Let j = -1 - 1. Let s(a) = -6*a**3 - 4*a**2 + 2*a. Let n(u) = u**4 + u**3 + u**2 + u. Let o(v) = j*n(v) - s(v). Solve o(k) = 0.
-1, 0, 1, 2
Let v(n) be the second derivative of 2*n**3 + 4*n + 1/4*n**4 + 6*n**2 + 0. Find z such that v(z) = 0.
-2
Let b = -260 + 781/3. Factor 1/6*k + 1/6*k**4 + 1/6*k**5 - b*k**3 - 1/3*k**2 + 1/6.
(k - 1)**2*(k + 1)**3/6
Let l be (30/(-33))/(-5) - (-8)/(-44). Let y(g) be the second derivative of 4/3*g**3 + 1/20*g**5 - 5/12*g**4 - 2*g**2 + 3*g + l. Suppose y(r) = 0. What is r?
1, 2
Let c(o) = -3*o**2 - 3*o + 4. Let s be c(-5). Let w be s/(-60)*12/14. Suppose -1/5*h**4 - 3/5*h**2 - w*h**3 + 4/5 + 4/5*h = 0. What is h?
-2, -1, 1
Let t = -85 + 49. Let b be 4/t*3/(-2). Suppose 0*r**2 + 1/3*r**3 + 0*r + b*r**4 - 1/2*r**5 + 0 = 0. What is r?
-2/3, 0, 1
Let j(g) be the third derivative of g**7/490 - g**6/280 - 3*g**5/70 + g**4/14 + 4*g**3/7 + 9*g**2. Determine t, given that j(t) = 0.
-2, -1, 2
Suppose 2*c + 2*t = -2*c - 14, -13 = 5*c + t. Let k = c - -5. Solve -10*d**4 - 6*d**3 + 4*d - d**3 + k*d**3 + 10*d**2 = 0 for d.
-1, -2/5, 0, 1
Suppose -91 = -4*d + 101. Suppose 0 = -4*m + 2*m + d. Solve -8*p + 2 + 45*p**3 - 4 + 19*p**3 - 128*p**4 + m*p**2 = 0 for p.
-1/4, 1/2
Let l be 1619/(-385) - 15/25. Let k = l - -56/11. Factor k*r**2 - 2/7*r**3 + 2/7*r - 2/7.
-2*(r - 1)**2*(r + 1)/7
Let o = 2 + 7. Let k(m) = o*m - 8*m - 45 + 14*m - 33*m**2. Let s(u) = -8*u**2 + 4*u - 11. Let l(w) = 5*k(w) - 21*s(w). Suppose l(b) = 0. Calculate b.
1, 2
Let i = 5 - 5. Suppose -6 = -i*h - 3*h. Solve -3 - 3*p**2 + 1 + 2*p + h*p + p**2 = 0 for p.
1
Factor 0 - 22/5*d**2 - 14/5*d**4 + 32/5*d**3 + 4/5*d.
-2*d*(d - 1)**2*(7*d - 2)/5
Let n = 57 - 55. Let -1/2*k**4 + k**3 - 1/2*k**n + 0 + 0*k = 0. What is k?
0, 1
Let q(r) = -r**2 - 7*r + 2. Let m(v) be the second derivative of -v**4/6 - 7*v**3/2 + 3*v**2 - 8*v. Let f(h) = 4*m(h) - 11*q(h). What is k in f(k) = 0?
1/3, 2
Factor -16/3*c - 8 + 10/3*c**2 + 2/3*c**3.
2*(c - 2)*(c + 1)*(c + 6)/3
Let u(k) be the first derivative of -2/35*k**5 - 2/7*k + 1/21*k**6 - 6 + 1/7*k**2 + 4/21*k**3 - 1/7*k**4. What is h in u(h) = 0?
-1, 1
Let g(c) be the first derivative of c**7/735 - c**6/210 - c**5/210 + c**4/42 - c**2 - 2. Let s(f) be the second derivative of g(f). What is w in s(w) = 0?
-1, 0, 1, 2
Let a(i) be the second derivative of 1/2*i**3 + 0 + 3*i + 0*i**2 - 1/4*i**4. Factor a(k).
-3*k*(k - 1)
Let g be 112/12 + 4/6. Suppose 0 = 5*b - 0 - g. Factor 2/5*d + 2*d**3 - 4/5 + 16/5*d**b.
2*(d + 1)**2*(5*d - 2)/5
Let p(o) be the third derivative of 1/120*o**6 + 1/24*o**4 + 0 + 1/30*o**5 + 0*o**3 + 2*o**2 + 0*o. Solve p(a) = 0.
-1, 0
Let i(v) be the second derivative of -5*v**4/6 + v**3 + 2*v**2 + v. Factor i(a).
-2*(a - 1)*(5*a + 2)
Factor 2/7*p**3 - 8/7*p**2 + 10/7*p - 4/7.
2*(p - 2)*(p - 1)**2/7
Factor -2/3*l**2 + 0*l + 0 - 1/3*l**3.
-l**2*(l + 2)/3
Let g(z) = -10*z**4 + 10*z**3. Let k(v) = 9*v**4 - 9*v**3. Let f(q) = 4*g(q) + 5*k(q). Suppose f(l) = 0. Calculate l.
0, 1
Let k(v) be the second derivative of v**6/12 + 7*v**5/40 - v**4/3 - v**3/3 - 9*v. Let k(d) = 0. What is d?
-2, -2/5, 0, 1
Let c(m) be the third derivative of -m**7/240 + m**6/60 - 11*m**5/480 + m**4/96 + 2*m**2. Suppose c(w) = 0. Calculate w.
0, 2/7, 1
Suppose -42 = -13*q + 6*q. Let g(x) be the first derivative of x**3 + q*x - 3 - 9/2*x**2. Suppose g(f) = 0. Calculate f.
1, 2
Suppose -12/13 - 2/13*y**3 - 12/13*y**2 - 22/13*y = 0. What is y?
-3, -2, -1
Suppose -1/3*c**3 - 1/3*c**2 + 0 + 0*c = 0. Calculate c.
-1, 0
Suppose 0*g + 3*g - m = -32, -4*m = -g - 18. Let k be 3/(1*(-6)/g). Find n, given that -6*n - 2*n**5 + 0*n**k - 1 - 14*n**2 - 6*n**4 - 16*n**3 - 3*n**4 = 0.
-1, -1/2
Factor -h + 15*h**3 - 14*h**3 - h**2 + 2 - 1.
(h - 1)**2*(h + 1)
Let a(v) be the first derivative of -3*v**4/4 + 2*v**3/3 + 3*v**2/2 - 2*v - 4. Solve a(t) = 0 for t.
-1, 2/3, 1
Factor -1175 - 2*h**3 - 12*h**2 + 1175.
-2*h**2*(h + 6)
Let c(n) = n - 2. Let j = 8 - 3. Let o be c(j). Find p such that 3*p + p**3 - 11*p**o + 8*p**2 - 5*p + 4*p**4 = 0.
0, 1/2, 1
Let n(i) be the first derivative of 1/2*i**2 + 0*i - 1/6*i**3 - 5. Find s, given that n(s) = 0.
0, 2
Let c = 33 + -20. Let a(w) = -2*w + 30. Let j be a(c). Factor 8/11*y**j + 8/11*y - 30/11*y**3 + 24/11*y**2 + 0.
2*y*(y - 2)**2*(4*y + 1)/11
Let l(s) be the second derivative of 0*s**3 + 0 - 1/100*s**5 - s - s**2 - 1/150*s**6 + 1/120*s**4. Let q(m) be the first derivative of l(m). Factor q(g).
-g*(g + 1)*(4*g - 1)/5
Factor -16/7 - 4*m - 6/7*m**2.
-2*(m + 4)*(3*m + 2)/7
Let z be 3*(-3)/(-9)*(-13)/(-12). Let p(h) be the second derivative of -11/6*h**3 + 0 + h**2 + z*h**4 - 1/5*h**5 - 3*h. Determine t so that p(t) = 0.
1/4, 1, 2
Let s(y) be the second derivative of 0*y**2 - 1/3*y**3 + 0 + 1/6*y**4 - 2*y. Factor s(g).
2*g*(g - 1)
Factor 15/7*j**2 - 25/7*j**3 + 9/7*j + 1/7.
-(j - 1)*(5*j + 1)**2/7
Let c be ((-3)/(-8))/(21/14). Let f(a) be the second derivative of 0 - 1/48*a**4 + c*a**2 + 2*a + 1/24*a**3. Factor f(z).
-(z - 2)*(z + 1)/4
Let i(j) = -j**3 + 4*j**2 - 1. Let s be i(4). Let b = s + 3. Find g such that 3*g**4 + 6*g**3 + b*g + 2*g - 10 - 10*g + 7 = 0.
-1, 1
Let v = 4 + 1. Let b be 0 + v*6/15. Let -1/2*l - 1/2 + 1/2*l**b + 1/2*l**3 = 0. What is l?
-1, 1
Let a = -16 + 9. Let c be (-2)/a - 24/(-14). Suppose -1 + 1/2*o**c - 1/2*o = 0. Calculate o.
-1, 2
Let c(l) be the first derivative of -l**4/5 + 6*l**2/5 - 8*l/5 - 25. Factor c(w).
-4*(w - 1)**2*(w + 2)/5
Let n(i) be the third derivative of -i**2 + 0*i**3 + 1/315*i**7 + 1/90*i**5 + 0*i - 1/90*i**6 + 0*i**4 + 0. Suppose n(b) = 0. Calculate b.
0, 1
Let x = 73 + -71. Let y(i) be the first derivative of -1/15*i**3 - 1/5*i**x + 2 + 0*i. Suppose y(l) = 0. What is l?
-2, 0
Let n(g) = 5*g**2 - 3*g - 6. Let t(i) = 6*i**2 - 2*i - 6. Let l(m) = 5*n(m) - 4*t(m). Let z be l(8). Factor 5*c**2 - 4 - 5*c**2 + 4*c - c**z.
-(c - 2)**2
Suppose 0 = -0*u + 4*u - 36. Find t, given that 3 - 3*t**3 + 3*t**5 + 4 - 1 - 6*t**2 - 9*t**3 + u*t = 0.
-1, 1, 2
Suppose -2*l + 0 - 16 = 0. Let c be ((-9)/3)/(12/l). What is z in -4/7*z + 2/7 + 2/7*z**c = 0?
1
Let i(v) be the first derivative of -5 + 0*v**3 + 3/4*v**4 - 9/2*v**2 - 6*v. Let i(p) = 0. Calculate p.
-1, 2
Find m, given that 1/2*m**4 - m**3 + 0 + 0*m + 0*m**2 + 1/2*m**5 = 0.
-2, 0, 1
Factor -24*s - 48*s**2 - 5 - 3 + 5.
-3*(4*s + 1)**2
Let q(h) be the third derivative of h**6/60 + h**5/10 + h**4/4 + h**3/3 - 11*h**2. Find z, given that q(z) = 0.
-1
Let i(d) = -15*d**5 - 63*d**4 - 77*d**3 - 37*d**2 - 5*d. Let z(j) = 16*j**5 + 62*j**4 + 76*j**3 + 38*j**2 + 6*j. Let q(s) = 2*i(s) + 3*z(s). Factor q(c).
2*c*(c + 1)**2*(3*c + 2)**2
Let f be ((-19)/4)/((-9)/(-54)). Let r = -2