 v*l - l**2 + 0 - 1/2*l**3 + 3/20*l**5. Factor p(c).
(c - 1)*(c + 1)**2*(c + 2)
Let k(v) = -v**4 + v**2 + v - 1. Let l(h) = -27*h**4 + 15*h**3 + 51*h**2 + 27*h - 18. Let z(j) = 18*k(j) - l(j). Factor z(d).
3*d*(d - 3)*(d + 1)*(3*d + 1)
Let z be (0/(6/2))/(-2). Let k be 3*(z + -1)/(-1). Suppose 3 + 1 - 2*u**2 + k*u - u = 0. Calculate u.
-1, 2
Let r be (-330)/(-10) + (-4)/(-1). Let c = r - 34. Solve 0*k + 0 + 2/5*k**4 - 4/5*k**c + 2/5*k**2 = 0 for k.
0, 1
Determine x so that 12*x**3 - 2*x**5 + 2 - x**2 + 2*x**4 - 2*x - 3*x**2 - 8*x**3 = 0.
-1, 1
Let t(h) be the third derivative of -h**5/60 + 7*h**4/24 - h**3 + h**2. Factor t(g).
-(g - 6)*(g - 1)
Let s(f) be the first derivative of f**4/18 + 2*f**3/9 + f**2/3 + 2*f/9 - 6. Factor s(o).
2*(o + 1)**3/9
Let v(o) be the second derivative of 0*o**2 + 0*o**3 + o + 1/105*o**7 + 0 - 1/25*o**6 - 1/30*o**4 + 3/50*o**5. Let v(k) = 0. What is k?
0, 1
Factor 0*y - 3/2*y**3 + 0 - 6*y**4 - 9/2*y**5 + 0*y**2.
-3*y**3*(y + 1)*(3*y + 1)/2
Let r(b) be the second derivative of -b**6/24 - b**5/40 + 5*b**4/16 + 2*b**3/3 + b**2/2 - 8*b. Find h such that r(h) = 0.
-1, -2/5, 2
Let t(f) be the first derivative of 2/3*f**3 + 5 + 4*f + 3*f**2. Factor t(c).
2*(c + 1)*(c + 2)
Factor 75 + 21*s**2 - 47*s**2 + 80*s + 13*s**2 + 18*s**2.
5*(s + 1)*(s + 15)
Find t, given that 3/2*t**2 + 0 + 1/3*t = 0.
-2/9, 0
Suppose n + 5 = 6*n. Suppose -2*b = -4*r, -b = -3*b + 3*r + n. Solve 4 - w + w - b*w - 2*w**2 = 0 for w.
-2, 1
What is r in 0 + 2/3*r**5 - 2/3*r**4 + 0*r**2 + 0*r**3 + 0*r = 0?
0, 1
Let h(q) = 2*q**2 - 3*q + 2. Let l be h(2). Determine i, given that -4*i**5 - 10*i**4 - 3 + 1 - i**3 - i**l + 5*i + 13*i**2 = 0.
-2, -1, 1/4, 1
Factor -2*h**5 - 8*h**2 + 0*h**5 - 8*h**4 - 12*h**3 + 5*h - 7*h.
-2*h*(h + 1)**4
Factor -1/5*t**4 + 6/5*t**3 - 6/5*t - 8/5*t**2 + 9/5.
-(t - 3)**2*(t - 1)*(t + 1)/5
Let l(d) be the second derivative of d**10/30240 - d**8/3360 + d**6/720 - d**4/12 + 3*d. Let k(m) be the third derivative of l(m). Let k(p) = 0. Calculate p.
-1, 0, 1
Find k, given that -95*k - 7*k**2 - 8*k**2 + 91*k + 11*k**2 = 0.
-1, 0
Let x = 104/5 - 20. Factor 12/5 + 8/5*z - x*z**2.
-4*(z - 3)*(z + 1)/5
Suppose -1 = -n - 2. Let h(k) = -k + k**2 - 1 + 2*k - 2*k. Let l(q) = -3*q**2 + 6*q + 5. Let d(u) = n*l(u) - 4*h(u). Factor d(o).
-(o + 1)**2
Let i = 27 - 18. Suppose 4*t - i = s, -5 = -5*t + 2*s + 7. Find u, given that -t*u - 2 + u**2 - 2*u + 5*u = 0.
-2, 1
Let s = 366/235 - -2/47. Factor -12*q**3 + 22/5*q**2 - 10*q**4 + 24/5*q - s.
-2*(q + 1)**2*(5*q - 2)**2/5
Let q(l) = -2*l**3 - 5*l**2 - 4*l + 5. Let y(x) = -5*x**3 - 11*x**2 - 9*x + 11. Let c(n) = -7*q(n) + 3*y(n). Factor c(k).
-(k - 2)*(k - 1)*(k + 1)
Suppose 9*z - 10*z = 5*c - 22, -2*z = -c. Factor -2*n**3 - 40/11*n**z - 14/11*n + 4/11.
-2*(n + 1)**2*(11*n - 2)/11
Let l(t) be the first derivative of -81*t**4/2 + 24*t**3 - 4*t**2 + 9. Factor l(g).
-2*g*(9*g - 2)**2
Factor -8*y**2 + 4*y**3 + 4*y**2 - 25 + 25.
4*y**2*(y - 1)
Let o(n) = 4*n**5 + 2*n**4 + 4*n**3 + 5. Let k(r) = -r**5 - r**3 - 1. Let s(f) = 20*k(f) + 4*o(f). Factor s(h).
-4*h**3*(h - 1)**2
Let p(v) be the second derivative of v**8/8400 + v**7/2100 - v**6/1800 - v**5/300 + v**3/3 - 3*v. Let y(z) be the second derivative of p(z). Factor y(w).
w*(w - 1)*(w + 1)*(w + 2)/5
Let b(r) be the first derivative of 0*r - 4/27*r**3 + 0*r**2 - 2 - 1/18*r**4. Factor b(k).
-2*k**2*(k + 2)/9
Let b(u) be the second derivative of 1/2*u**3 + 3*u**2 + 0 - u - 1/2*u**4 - 3/20*u**5. What is y in b(y) = 0?
-2, -1, 1
Let g(l) = -l**2 - 7*l + 7. Let t be g(-9). Let o be 1 + 2 + t/5. Factor 2/5 + 2/5*a**2 - o*a.
2*(a - 1)**2/5
Let r(p) be the third derivative of -p**8/120 - 23*p**7/525 + p**6/300 + 23*p**5/150 + p**4/10 + p**2 - 5. Solve r(d) = 0 for d.
-3, -1, -2/7, 0, 1
Let l(t) be the third derivative of -t**8/1008 - t**7/210 - t**6/180 - 13*t**2. Determine v, given that l(v) = 0.
-2, -1, 0
Let y(l) be the second derivative of l**6/20 - l**5/16 - l**4/16 + l**3/12 - 7*l. Solve y(c) = 0.
-2/3, 0, 1/2, 1
Let f(t) be the second derivative of 5*t**7/42 + 4*t**6/15 - t**5/5 - 18*t. Solve f(a) = 0.
-2, 0, 2/5
Let k be (-196)/(-126)*24/7. Solve 0 - 10/3*f**4 + 0*f + 2/3*f**5 + k*f**3 - 8/3*f**2 = 0.
0, 1, 2
Let v(r) be the second derivative of -r**6/720 - r**5/80 - r**4/24 + 3*r**3/2 + 2*r. Let u(a) be the second derivative of v(a). Factor u(f).
-(f + 1)*(f + 2)/2
Let 4/3*a + 2/3*a**2 + 2/3 = 0. What is a?
-1
Let k(j) be the first derivative of 2 - 2/3*j - 1/3*j**2 + 2/9*j**3 + 1/6*j**4. Determine a so that k(a) = 0.
-1, 1
Let p(l) be the second derivative of l**5/100 + l**4/30 - l**3/30 - l**2/5 + 5*l. Factor p(n).
(n - 1)*(n + 1)*(n + 2)/5
Let w(i) be the second derivative of -3*i**2 + 0 + 1/2*i**4 + 1/2*i**3 + 7*i - 3/20*i**5. Factor w(t).
-3*(t - 2)*(t - 1)*(t + 1)
Let k(l) be the first derivative of -2*l**5/35 - l**4/14 + 2*l**3/21 + l**2/7 + 6. Determine r, given that k(r) = 0.
-1, 0, 1
Let r(m) = 7*m**3 + m**2 - 19*m. Let p(j) = 3*j**3 - 9*j. Let x(w) = -8*w - 2. Let c be x(-1). Let i(a) = c*r(a) - 13*p(a). What is b in i(b) = 0?
-1, 0
Let u(m) be the first derivative of -m**6/360 - m**5/20 - 3*m**4/8 - 2*m**3 + 6. Let p(g) be the third derivative of u(g). Determine k, given that p(k) = 0.
-3
Find w such that -1/2*w**2 - 1/2 - w = 0.
-1
Let u(q) = -q + 1. Let y be u(-1). Let 9*w - 4*w**y + 2*w**3 + w**4 + 3*w**2 - 11*w = 0. What is w?
-2, -1, 0, 1
Suppose 251 + 64 = -3*w. Let p be (28/w)/(2/(-3)). Factor 6/5*q**3 - 6/5*q**2 - 2/5*q**4 + p*q + 0.
-2*q*(q - 1)**3/5
Suppose -1/4*q**4 + q**3 + 0 + 1/2*q - 5/4*q**2 = 0. What is q?
0, 1, 2
Let u be (-4)/6 + 88/24. Suppose -1 = -2*d + u. Find z such that 1 + 1/4*z**d - z = 0.
2
Factor -12*q - 2*q**2 + 0*q - 6*q.
-2*q*(q + 9)
Let o(g) be the third derivative of g**5/75 - 2*g**3/15 + 5*g**2. What is w in o(w) = 0?
-1, 1
Let f(s) be the third derivative of s**8/1176 - 2*s**7/735 + s**5/105 - s**4/84 + 7*s**2. Let f(v) = 0. What is v?
-1, 0, 1
Let n(c) be the third derivative of 1/504*c**8 + 1/90*c**6 + 5*c**2 + 0 + 0*c**5 + 0*c**4 - 1/105*c**7 + 0*c + 0*c**3. Factor n(j).
2*j**3*(j - 2)*(j - 1)/3
Let i(m) be the third derivative of -m**5/75 - m**4/15 - 20*m**2. Suppose i(w) = 0. Calculate w.
-2, 0
Suppose -6*w = -3*w. Let c(i) be the first derivative of 2/9*i**3 + 1 - 1/3*i**2 + w*i. Factor c(q).
2*q*(q - 1)/3
Let k(q) be the third derivative of 2/3*q**3 + 0*q + 1/2*q**4 + 13/60*q**5 - 3*q**2 + 1/20*q**6 + 0 + 1/210*q**7. Solve k(z) = 0.
-2, -1
Let c = 15 + 2. Let q = c - 14. Find v, given that 0 - 2/11*v**q + 6/11*v**5 + 0*v + 4/11*v**2 - 8/11*v**4 = 0.
-2/3, 0, 1
Factor 6*t - 23*t + 9 + 9*t**3 - 4*t - 21*t**2.
3*(t - 3)*(t + 1)*(3*t - 1)
Let y(n) be the first derivative of -n**6/18 - n**5/5 + 4*n**3/9 - 7. What is g in y(g) = 0?
-2, 0, 1
Factor -20*g + 25 - 5 - g**2 + 6*g**2.
5*(g - 2)**2
Let q(u) be the third derivative of 1/30*u**5 + 1/42*u**4 + 1/105*u**6 - 4*u**2 - 1/21*u**3 + 0 + 0*u. Solve q(b) = 0.
-1, 1/4
Suppose 18*h = 16*h + 6. Factor 1/2*j**h + 1/2*j**4 + 1 - 1/2*j - 3/2*j**2.
(j - 1)**2*(j + 1)*(j + 2)/2
Let h(k) = -2*k + 12. Let a be h(6). Let f(i) be the second derivative of -3*i + 0*i**2 + a - 1/30*i**4 + 1/50*i**5 - 2/15*i**3. Factor f(d).
2*d*(d - 2)*(d + 1)/5
Let x be 24/(-9*(-4)/24). Solve 37*y**3 - 6*y**2 - 21*y**3 + 4*y + 2*y**4 - x*y**3 = 0 for y.
-2, 0, 1
Determine i so that -64 + 54*i - 4*i - 61 - 5*i**2 = 0.
5
Let z(f) = -f - 1. Let w be z(-4). Let g be (3/w + 1)/1. Find u, given that -12*u**2 + u - 12*u**3 - 8*u**4 + 4*u**g - 2*u**5 - 3*u = 0.
-1, 0
Let o(f) be the second derivative of -f**5/10 - f**4/6 + 4*f**3/3 + 4*f**2 - 7*f. Let o(d) = 0. What is d?
-2, -1, 2
Suppose 0 = -4*i - 0*i + 24. Let q be (-2 + 21/i)*2. Factor 2*h**2 - h + q*h - 2*h.
2*h**2
Let c(w) = -w**2 + 3*w**2 - 4*w - 2 + 3*w - w**2. Let p be c(3). Factor 0*k**p + 2*k**2 - 7*k + 4*k**3 + 3*k + 0*k**4 - 2*k**4.
-2*k*(k - 2)*(k - 1)*(k + 1)
Let i(w) be the second derivative of -w**5/30 - w**4/3 - 4*w**3/3 - 8*w**2/3 + 20*w. Factor i(q).
-2*(q + 2)**3/3
Let h = -7 - -10. Find r such that -1/3*r**4 - 1/3*r**h + 0 + 1/3*r + 1/3*r**2 = 0.
-1, 0, 1
Let w(d) = 7*d**3 - d**2 + 3*d + 3. Let r(j) = -j**3 + j**2 - j - 1. Suppose -3*c + 8 - 17 = 0. Let l(y) = c*r(y) - w(y). Factor l(x).
-2*x**2*(2*x + 1)
Let p = -4/1835 +