v = -1 - 2. Factor 2*l**3 - 3*l**2 - v + 4*l**3 + 3*l - 5*l**3.
(l - 1)**3
Let r = 20 - 17. Let t(l) be the second derivative of -4/3*l**3 + 0 - 4*l**2 - 1/6*l**4 + r*l. Factor t(q).
-2*(q + 2)**2
Let c be 6/4*6/(-3). Let r = 2 - c. Factor 3*x**3 + 0*x**4 + x**r - 5*x**2 + x - 5*x**3 - 1 + 7*x**2 - x**4.
(x - 1)**3*(x + 1)**2
Suppose -n + 4*x = -25, -3*n + 25 = -3*x + x. Factor -2*f**3 - 1 + 9*f**4 + 4*f**n - 6*f**5 + 4*f - 4*f**4 - 4*f**2.
-(f - 1)**3*(f + 1)*(2*f - 1)
Suppose -4 - 30*f**3 - 7*f**4 - 43*f**2 - 50*f + 4*f + 22*f = 0. Calculate f.
-2, -1, -2/7
Let c(r) be the first derivative of r**7/42 + 11*r**6/45 + 14*r**5/15 + 4*r**4/3 - r**3 - 1. Let i(x) be the third derivative of c(x). Solve i(y) = 0.
-2, -2/5
Let x = 0 - -4. Let a = -1 - -4. Find f such that -f + 2*f**a + 0*f + f**x - 1 - f**5 - 2*f**4 + 2*f**2 = 0.
-1, 1
Factor 4/13*s**2 + 0 + 0*s**3 - 4/13*s**4 + 2/13*s**5 - 2/13*s.
2*s*(s - 1)**3*(s + 1)/13
Let y(g) be the first derivative of 2 - 2/9*g**3 + 0*g + 2/3*g**2. Let y(v) = 0. What is v?
0, 2
Let w = -2/9 + 13/18. Let j(b) be the first derivative of -1/2*b**2 + 1/6*b**3 + 1 + w*b. Solve j(d) = 0.
1
Let r = 219/4 - 54. Factor 3/4*y**3 - r*y - 1/4 + 1/4*y**2.
(y - 1)*(y + 1)*(3*y + 1)/4
Let u = 479/231 - -172/33. Factor 9/7 - 48/7*a - 12/7*a**3 + u*a**2.
-3*(a - 3)*(a - 1)*(4*a - 1)/7
Let j(s) be the third derivative of 1/30*s**5 - 1/60*s**6 + 0*s + 0*s**3 + 0*s**4 + 5*s**2 + 0 + 1/168*s**8 - 1/105*s**7. Factor j(l).
2*l**2*(l - 1)**2*(l + 1)
Let j(r) = -r. Let s be j(0). Let c(w) be the third derivative of s*w**3 + w**2 + 0 + 1/270*w**5 + 0*w**4 + 0*w. Solve c(p) = 0.
0
Let j(m) be the third derivative of m**5/120 + m**4/12 + m**3/3 - 18*m**2. Factor j(f).
(f + 2)**2/2
Suppose 2*q - 76 = -202. Let a = q - -317/5. Factor -a*o**2 + 2/5*o + 0.
-2*o*(o - 1)/5
Factor 8*o**3 - 4*o**5 - 8*o - 3*o + 7*o.
-4*o*(o - 1)**2*(o + 1)**2
Let c(j) be the third derivative of j**9/37800 - j**7/6300 - j**4/12 + 5*j**2. Let n(d) be the second derivative of c(d). Find l, given that n(l) = 0.
-1, 0, 1
Let z(h) be the second derivative of h**5/60 + h**4/12 + h**3/9 + h. Factor z(b).
b*(b + 1)*(b + 2)/3
Let w(z) = -11*z**4 + 21*z**3 + 11*z**2 + 3*z. Let h(v) = -12*v**4 + 22*v**3 + 10*v**2 + 2*v. Let p(r) = -3*h(r) + 2*w(r). Factor p(b).
2*b**2*(b - 2)*(7*b + 2)
Find u, given that 1/4*u**2 + 1/12*u**3 - 1/12*u - 1/6 - 1/12*u**4 = 0.
-1, 1, 2
Let p(o) be the first derivative of -o**4/4 + 3*o**3 - 9*o**2/2 + 8*o + 1. Let x be p(8). Suppose w**2 - 1/2*w**3 + x - 1/2*w = 0. What is w?
0, 1
Factor -n + n**2 + 40 - 40.
n*(n - 1)
Let o(u) be the first derivative of u**6/15 + 4*u**5/25 + u**4/10 - 4. Factor o(t).
2*t**3*(t + 1)**2/5
Let g(l) be the second derivative of l**7/42 - l**6/30 - l**5/20 + l**4/12 - 13*l. Determine x, given that g(x) = 0.
-1, 0, 1
Let c(r) = -r**3 - 6*r**2 + r + 9. Let b be c(-6). Let w(i) be the first derivative of 1 + 1/3*i**2 + 1/9*i**b + 1/3*i. Let w(o) = 0. What is o?
-1
Let w(v) be the first derivative of 3*v**5/70 - v**4/6 + 4*v**2/7 - 3*v + 7. Let p(n) be the first derivative of w(n). Factor p(b).
2*(b - 2)*(b - 1)*(3*b + 2)/7
Let x(o) be the third derivative of -o**10/3024 + o**9/1080 - o**8/1680 + o**4/24 + o**2. Let r(s) be the second derivative of x(s). Factor r(q).
-2*q**3*(q - 1)*(5*q - 2)
Suppose 0*f + 268 = -4*f + 5*q, 2*q - 8 = 0. Let l = f + 312/5. Factor 2/5*p - l*p**2 + 0.
-2*p*(p - 1)/5
Let f(d) = d**5 + 8*d**4 + 3*d**3 + d**2 + 5*d. Let a(t) = -t**4 - t. Let i(l) = -5*a(l) - f(l). Solve i(w) = 0.
-1, 0
Let o be ((-1)/(-3)*-3)/(-1). Let x(m) be the first derivative of 9/8*m**2 - 7/12*m**3 + o - 1/2*m. Factor x(k).
-(k - 1)*(7*k - 2)/4
Let r(y) be the third derivative of y**7/210 - y**6/40 + y**5/20 - y**4/24 - 20*y**2. Factor r(j).
j*(j - 1)**3
Let f be (5 + -1)*(0 - 5/(-10)). Solve 2/13 - 4/13*a + 0*a**f - 2/13*a**4 + 4/13*a**3 = 0.
-1, 1
Factor 2/7*g**2 - 6/7*g + 4/7.
2*(g - 2)*(g - 1)/7
Let u = 5 - -5. Factor 4*s**4 + 13*s**3 + 8*s**2 - 10 + u - s**3.
4*s**2*(s + 1)*(s + 2)
Let p(a) be the first derivative of 5*a**6/6 - 15*a**4/4 + 10*a**3/3 - 16. Factor p(x).
5*x**2*(x - 1)**2*(x + 2)
Let c(o) = 12*o**4 - 13*o**3 - 3*o**2 + 13*o - 7. Let l(d) = -325*d**4 + 350*d**3 + 80*d**2 - 350*d + 190. Let h(z) = 55*c(z) + 2*l(z). Let h(p) = 0. What is p?
-1, 1/2, 1
Let u(d) be the third derivative of d**6/1260 - 2*d**5/105 + d**4/12 - 10*d**3/63 + 17*d**2. Find l, given that u(l) = 0.
1, 10
Let x be (30/(-25))/((-6)/40). Factor -x*q**3 + 7*q**3 + 2*q**2 - 3*q**2.
-q**2*(q + 1)
Suppose 0 = 3*d - 6*d. Let -1/2*r**2 + 1/2*r - 1/2*r**3 + 1/2*r**4 + d = 0. What is r?
-1, 0, 1
Find g, given that 0 - 4/3*g**3 + 4*g - 10/3*g**2 + 2/3*g**4 = 0.
-2, 0, 1, 3
Let v(i) be the first derivative of -i**6/600 + i**5/200 + i**4/20 - i**3 + 2. Let m(t) be the third derivative of v(t). What is k in m(k) = 0?
-1, 2
Let 1/2*j**2 + 1/2*j - 1 = 0. What is j?
-2, 1
Let q = -349/99 - -40/11. Let 8/9*o - q*o**2 - 16/9 = 0. What is o?
4
Let f(v) be the second derivative of 0*v**2 + 1/5*v**5 + 0 - 2/3*v**3 + 0*v**4 - 5*v. Factor f(l).
4*l*(l - 1)*(l + 1)
Solve -9*q**4 + 2*q - 6 - 197*q**3 + 200*q**3 + 15*q**2 - 5*q = 0.
-1, -2/3, 1
Let r(p) be the third derivative of p**8/560 - 3*p**7/350 + p**6/200 + 3*p**5/100 - p**4/20 - 7*p**2. Solve r(b) = 0 for b.
-1, 0, 1, 2
Suppose -10/13*b**5 + 4/13*b**3 + 0*b + 0*b**2 + 6/13*b**4 + 0 = 0. What is b?
-2/5, 0, 1
Suppose 2*v - 6*v = 0. Suppose -13*w + 21*w - 16 = 0. Suppose 0*m + v - 1/3*m**w = 0. Calculate m.
0
Let q(i) be the second derivative of 5*i**4/9 - 5*i**3/2 + 5*i**2/3 + 9*i. Find t such that q(t) = 0.
1/4, 2
Suppose 0 + 0*y**2 + 5/2*y**5 + 15/2*y**3 + 10*y**4 + 0*y = 0. Calculate y.
-3, -1, 0
Let w(p) be the third derivative of p**6/1620 - p**3/6 - 4*p**2. Let k(d) be the first derivative of w(d). Factor k(g).
2*g**2/9
Let p(b) be the second derivative of -147*b**5/80 + 175*b**4/16 - 11*b**3 + 9*b**2/2 + 6*b - 2. Factor p(h).
-3*(h - 3)*(7*h - 2)**2/4
Let y(d) = -d - 2. Let i be y(-5). Let o(l) be the second derivative of 0*l**5 + 0 + 1/6*l**4 + 0*l**2 + 1/6*l**i - 3*l - 1/15*l**6 - 1/42*l**7. Factor o(k).
-k*(k - 1)*(k + 1)**3
Let d(a) be the first derivative of -a**3 + 3*a**2 + 9*a - 5. Factor d(c).
-3*(c - 3)*(c + 1)
Let k be (1*(-4)/8)/(6/(-4)). Factor -k*g**4 - 1/3 - 4/3*g**3 - 2*g**2 - 4/3*g.
-(g + 1)**4/3
Suppose 4*r - 2*s = 56, 0 = -4*r - s + 49 + 7. Suppose -r*w + 10*w = 0. Factor 2/7*l**3 + 0*l**2 + 0*l + w.
2*l**3/7
Suppose -3*m = -4 - 8. Let a be m/14*1*1. Factor -4/7*b**3 + 0 + a*b**4 + 4/7*b - 2/7*b**2.
2*b*(b - 2)*(b - 1)*(b + 1)/7
Factor -2*i**5 + 3*i**2 + i**2 + 2*i**3 - 2*i**4 - 2*i**2.
-2*i**2*(i - 1)*(i + 1)**2
Let t(k) = -k**2 - k + 6. Suppose b = 2*b. Let i be t(b). Determine a, given that 2*a + 0*a + 4*a**3 + 5*a**2 - 2*a**4 - i*a**3 - 3*a**2 = 0.
-1, 0, 1
Let r be -3*1*(-29)/29. Let y(j) be the first derivative of 1/11*j**2 + 0*j + 2/33*j**r - 4. Let y(p) = 0. Calculate p.
-1, 0
Let v(t) = 13*t**3 - 29*t**2 + 5*t + 27. Let j(l) = -72*l**3 + 160*l**2 - 28*l - 148. Let x(y) = 5*j(y) + 28*v(y). Determine n so that x(n) = 0.
-1, 2
Let n(z) be the first derivative of 0*z - 1/90*z**5 - 1/36*z**4 + 2*z**2 + 3 + 2/9*z**3. Let m(f) be the second derivative of n(f). Factor m(y).
-2*(y - 1)*(y + 2)/3
Let h = -4 - -6. Let 1 - t**2 + 0*t**2 + t**4 - t**h = 0. What is t?
-1, 1
Let k(z) be the third derivative of -z**8/112 + z**7/15 - 11*z**6/60 + z**5/5 + z**4/24 - z**3/3 - 11*z**2. Factor k(o).
-(o - 2)*(o - 1)**3*(3*o + 1)
Let s = -1249/9 + 139. Suppose -l = -5*l + 8. Factor 0*z - s + 2/9*z**l.
2*(z - 1)*(z + 1)/9
Find v such that -4/3*v**4 + 16/3 - 4/3*v**5 + 4/3*v**2 - 32/3*v + 20/3*v**3 = 0.
-2, 1
Suppose 3*m + 4*r = -r - 10, -3*r + 28 = -5*m. Let u be m/(15/3) - -3. Determine o, given that -1/2*o**3 + 0*o - 1/2*o**u + 0 = 0.
-1, 0
Let w(m) be the second derivative of 2*m - 1/3*m**3 + 0*m**2 + 0 - 17/12*m**4 - 14/15*m**6 - 43/20*m**5. Factor w(c).
-c*(c + 1)*(4*c + 1)*(7*c + 2)
Factor 1/3*t**3 + 64/3 + 16*t + 4*t**2.
(t + 4)**3/3
Solve 4/5*i**2 + 6/5*i - 2/5*i**5 - 6/5*i**4 - 4/5*i**3 + 2/5 = 0.
-1, 1
Let c(l) be the third derivative of l**8/3360 + l**7/1260 - l**4/24 - 4*l**2. Let g(h) be the second derivative of c(h). Determine k, given that g(k) = 0.
-1, 0
Let o be 3*1/(6/8