 - 4*w**3/3 - 4*w**2 - 2. Factor a(r).
4*r*(r - 1)*(r + 1)*(r + 2)
Let z(s) = 1. Let i(l) = 2*l**2 + 8*l + 20. Let v(w) = -i(w) + 12*z(w). Factor v(t).
-2*(t + 2)**2
Factor 2/9*a**3 + 16/3*a + 32/9 + 2*a**2.
2*(a + 1)*(a + 4)**2/9
Let t = 164 - 163. Let j(d) be the first derivative of 3/8*d**2 + t - 1/2*d - 1/12*d**3. Factor j(a).
-(a - 2)*(a - 1)/4
Let d(n) be the first derivative of 0*n - 1/10*n**5 - 4/3*n**3 + 1 + n**2 + 1/2*n**4 + 1/120*n**6. Let h(y) be the second derivative of d(y). Factor h(l).
(l - 2)**3
Let p(m) be the second derivative of 1/6*m**4 + 5*m - 1/3*m**3 + 0 - 1/30*m**5 + 1/3*m**2. Let p(y) = 0. Calculate y.
1
Let t(l) be the second derivative of -l**4/48 + l**3/3 - 2*l**2 - 9*l. What is a in t(a) = 0?
4
Let p = -18 - -13. Let s(a) = a**2 - 3*a - 2. Let i(n) = -n**2 + 7*n + 4. Let g(m) = p*s(m) - 2*i(m). Find j, given that g(j) = 0.
-2/3, 1
Factor 54*k**3 - 60*k**2 + 3*k**4 + 24*k - 24*k**4 - k**5 + 4*k**5 + 0*k.
3*k*(k - 2)**3*(k - 1)
Let y(v) = v**2 - 5*v + 6. Let h be y(4). Suppose i - 12 = -h*i. Factor -8/5*s - 18/5*s**i + 4/5*s**2 - 2/5 + 24/5*s**3.
-2*(s - 1)**2*(3*s + 1)**2/5
Suppose 0 = 2*f - 3*l - 16, -4*f - f + 5*l + 30 = 0. Solve w**2 - 6 + 3*w**3 - 4*w**2 - 3*w - 3*w**4 + 6*w**2 + 6*w**f = 0 for w.
-1, 1, 2
Let g be (-18)/(-3) + -1 + -1. Solve -2 + 5*z + g*z**2 - 3*z**2 - 4*z = 0.
-2, 1
Let y(n) = n**3 - 9*n**2 + 8*n. Let m be y(8). Suppose m = 4*w + w - 10. Factor 0*p + 0 - 2/9*p**w.
-2*p**2/9
Let x(z) be the first derivative of z**2 + 1/36*z**4 + 1/18*z**3 + 1/180*z**5 + 2 + 0*z. Let n(w) be the second derivative of x(w). Solve n(u) = 0 for u.
-1
Let v(l) be the third derivative of l**5/42 + l**4/7 + 4*l**3/21 - 16*l**2. Suppose v(q) = 0. What is q?
-2, -2/5
Suppose 5*i - 22 = -n, 0 = -3*i + 8*i - 4*n - 12. Factor -2/5*w**3 + 2/5*w + 0 + 2/5*w**2 - 2/5*w**i.
-2*w*(w - 1)*(w + 1)**2/5
Let m(z) be the second derivative of z**7/21 + 4*z**6/3 + 63*z**5/5 + 98*z**4/3 - 343*z**3/3 + 4*z. Let m(g) = 0. Calculate g.
-7, 0, 1
Let x(f) be the second derivative of 2*f - 2/5*f**5 + 0 - 2/15*f**6 + 8/3*f**3 - 8*f**2 + f**4. Suppose x(l) = 0. What is l?
-2, 1
Let r(b) be the first derivative of -3/5*b**5 - 6*b**3 + 3*b**4 + 6*b**2 - 3*b - 4. Factor r(u).
-3*(u - 1)**4
Let f be (-2)/(-7) + 2118/(-7560). Let j(n) be the third derivative of 0*n**3 + f*n**6 + 0*n**5 + 0 + 0*n - n**2 - 1/315*n**7 + 0*n**4. Factor j(z).
-2*z**3*(z - 1)/3
Let s(t) be the second derivative of -t**4/72 - t**3/36 + 14*t. What is c in s(c) = 0?
-1, 0
Solve -14/11*n**4 + 10/11*n**2 + 18/11*n**3 - 18/11*n + 4/11 = 0.
-1, 2/7, 1
Let y(v) = v**4 - 11*v**3 + 15*v**2 + 31*v + 4. Let b(j) = -j**4 + 21*j**3 - 30*j**2 - 61*j - 9. Let n(d) = 6*b(d) + 11*y(d). Factor n(q).
5*(q - 2)*(q + 1)**3
Let c(x) be the second derivative of x**4/20 + x**3/10 - 3*x**2/5 + 2*x. Let c(v) = 0. Calculate v.
-2, 1
Let v(b) = -b**5 - 11*b**4 - 12*b**3 - 5*b**2 + 2*b - 5. Let w(s) = -5*s**4 - 6*s**3 - 3*s**2 + s - 3. Let j(o) = -3*v(o) + 5*w(o). Factor j(q).
q*(q + 1)**3*(3*q - 1)
Let k(u) be the first derivative of u**6/18 - u**4/12 + 3. Let k(p) = 0. What is p?
-1, 0, 1
Let y(s) be the first derivative of s**4/28 - s**2/14 - 12. What is x in y(x) = 0?
-1, 0, 1
Suppose -v = -1 - 1. Suppose 3*a + 33 - 9 = 5*n, 5*n + v*a - 9 = 0. Factor 1/2*g**5 + 0 + 0*g**2 + 0*g - 1/2*g**n + 0*g**4.
g**3*(g - 1)*(g + 1)/2
Let a(z) = z - 1. Let q(b) = -b**5 - 3*b**4 - 3*b**3 - b**2 + 3*b - 3. Let f(x) = x + 5. Let o be f(-2). Let g(t) = o*a(t) - q(t). Factor g(u).
u**2*(u + 1)**3
Let z(j) = 3*j**4 - 5*j**3 + 6*j**2 + 4*j + 5. Let i(n) = -2*n**4 + 3*n**3 - 3*n**2 - 2*n - 3. Let f(k) = -5*i(k) - 3*z(k). Factor f(x).
x*(x - 2)*(x + 1)**2
Let z(h) be the third derivative of -h**7/336 + h**6/90 + h**5/60 - 2*h**3/3 - 2*h**2. Let a(f) be the first derivative of z(f). Factor a(t).
-t*(t - 2)*(5*t + 2)/2
Let h(c) be the third derivative of -7*c**7/30 - 7*c**6/30 - c**5/15 + 8*c**2. Factor h(g).
-g**2*(7*g + 2)**2
Let w(j) = -j - 19. Let r be w(-21). Let y be ((-92)/36 - -3)*r. Find g, given that 0*g + 2/3*g**4 + 0 - y*g**2 - 2/9*g**5 + 0*g**3 = 0.
-1, 0, 2
Let h = -793/5 + 159. Factor -h*a**2 + 0 + 0*a.
-2*a**2/5
Suppose 4*a + 4*i = 16, 2*a + i + 1 = 11. Let u(s) be the third derivative of 1/60*s**a + 0*s**3 - s**2 + 0 - 1/12*s**4 + 0*s**5 + 0*s. Factor u(d).
2*d*(d - 1)*(d + 1)
Let l(o) be the first derivative of -o**5/80 + o**4/24 + 5*o + 3. Let u(x) be the first derivative of l(x). Suppose u(i) = 0. Calculate i.
0, 2
Let r(f) be the second derivative of -5*f + 0 - 1/3*f**4 - 8/9*f**3 + 8/3*f**2. Factor r(w).
-4*(w + 2)*(3*w - 2)/3
Let d(o) be the second derivative of -o**4/4 + 4*o**3 - 24*o**2 + 12*o. Find j, given that d(j) = 0.
4
Let i(l) be the third derivative of l**9/7056 - l**8/3920 - 2*l**3/3 - 4*l**2. Let v(g) be the first derivative of i(g). Suppose v(a) = 0. What is a?
0, 1
Let v(p) be the third derivative of p**8/10080 - p**5/60 - 4*p**2. Let z(n) be the third derivative of v(n). What is q in z(q) = 0?
0
Let h(l) be the first derivative of -l**7/735 - l**6/420 + l**5/210 + l**4/84 + 3*l**2/2 - 3. Let m(t) be the second derivative of h(t). Factor m(q).
-2*q*(q - 1)*(q + 1)**2/7
Suppose -2*v + 5 = -1. Factor -1 - 9*j**v + 2 + 5 - 6*j**2 + 9*j.
-3*(j - 1)*(j + 1)*(3*j + 2)
Let l(g) = -6*g**5 - 12*g**4 - 3*g**3 + 12*g**2 + 9*g - 3. Let d(r) = -5*r**5 - 11*r**4 - 3*r**3 + 11*r**2 + 8*r - 2. Let o(b) = -3*d(b) + 2*l(b). Factor o(c).
3*c*(c - 1)*(c + 1)**2*(c + 2)
Let p(y) = y**2 + 2*y + 3. Let l be p(-2). Solve -7*j**3 + 7*j**4 - 3*j**l - 4*j**2 + 7*j**4 = 0.
-2/7, 0, 1
Let w(a) be the third derivative of a**5/40 - 5*a**4/16 + a**3 + 9*a**2. Factor w(x).
3*(x - 4)*(x - 1)/2
Suppose k + 4*d = -10, -3*k + k + 5*d = -19. Let n be (4/1)/(1/k). Let -g**5 - n*g**3 - 5*g**4 + g**4 - 4*g**2 - g**4 = 0. Calculate g.
-2, -1, 0
Let a = -172 - -172. Factor -2/3*z**4 + a*z - 2/3*z**3 + 0 + 0*z**2.
-2*z**3*(z + 1)/3
Find t such that 3*t**5 + 7*t**3 + 6*t**2 + 8*t**3 + 0*t**5 - 4*t**4 + 16*t**4 = 0.
-2, -1, 0
Suppose -3*h + 42 = -5*s, -4*h + 0 = 3*s + 2. Let q be 0 + s*(-4)/6. Factor -5/4*o**q + 1/2*o + 0 - 1/4*o**2 - 2*o**3.
-o*(o + 1)**2*(5*o - 2)/4
Let l be 6/36 - 2/12. Factor -6*h**2 + 4*h**2 + h**3 - h + l*h**2 + 2*h.
h*(h - 1)**2
Let b = -12/25 - -133/225. Let h(r) be the first derivative of 0*r - 1/3*r**4 + b*r**6 + 1/3*r**2 - 2 + 0*r**5 + 0*r**3. Solve h(q) = 0.
-1, 0, 1
Factor -29*z + 5*z**2 + 7*z + 5*z - 25 - 3*z.
5*(z - 5)*(z + 1)
Suppose -6*m = -2*m - 32. Let g be (3/m)/((-2)/(-4)). Factor 0*h + 1/2*h**3 - g*h**2 + 1/4.
(h - 1)**2*(2*h + 1)/4
Let w be (-6)/(-15) + (-2)/10. Let h(a) be the third derivative of w*a**5 + 3/20*a**6 + 0 + 0*a + 1/12*a**4 + a**2 + 0*a**3. Find u such that h(u) = 0.
-1/3, 0
Let z be 2*(0 - (1/(-2) - 1)). Let t(c) be the first derivative of -2*c + 5*c**2 + 3 - 25/6*c**z. Factor t(i).
-(5*i - 2)**2/2
Let u(n) be the second derivative of n**7/350 - n**6/100 + n**4/20 - n**3/10 - n**2 + 3*n. Let i(j) be the first derivative of u(j). Factor i(y).
3*(y - 1)**3*(y + 1)/5
Let k be 10 + 1/(3 + -2). Let 2*h - 4 - 2*h**3 - 2*h**3 + 7*h**4 + 2*h**5 + 8*h**2 - k*h**4 = 0. Calculate h.
-1, 1, 2
Let w(v) be the second derivative of v**4/72 + v**3/18 - v**2/4 - 12*v. Factor w(y).
(y - 1)*(y + 3)/6
Let z(g) be the third derivative of g**10/831600 - g**8/36960 - g**7/13860 - g**5/10 - 4*g**2. Let m(k) be the third derivative of z(k). Solve m(o) = 0 for o.
-1, 0, 2
Let u(f) = f**3 + f**2 - f. Let x(y) = -25*y**3 - 45*y**2 + 100*y - 40. Let w(r) = 10*u(r) + x(r). Solve w(g) = 0.
-4, 2/3, 1
Let u(c) be the third derivative of 22/5*c**5 + 2/3*c**3 - 68/15*c**6 - 2*c**2 + 0 + 64/35*c**7 - 9/4*c**4 + 0*c. Let u(r) = 0. What is r?
1/4, 2/3
Let b(r) = -r**5 + r**4 - r**3 - r**2 - r + 1. Let i(h) = -8*h**5 - 56*h**4 - 60*h**3 - 12*h**2 + 4*h - 4. Let q(p) = -4*b(p) - i(p). Factor q(y).
4*y**2*(y + 2)**2*(3*y + 1)
Suppose 0 = -0*o - 2*o + 2. Let m be (-10)/(-8) - (o - 0). Factor -3/4*n - 3/4*n**2 - m - 1/4*n**3.
-(n + 1)**3/4
Let w(l) be the first derivative of -l**3/4 + 33*l**2/8 - 15*l/2 + 45. Determine p, given that w(p) = 0.
1, 10
Let b = -3 + 4. Suppose -2*i - b = -11. Let n**2 + 3*n - 1 - n**i - 2*n**3 + n**4 + 2*n**4 - 3*n**2 = 0. Calculate n.
-1, 1
Let -126*o - 4 + 10*o**2 + 131*o - 1 = 0.