p(-4). Let -19*w**l + 28/3*w**5 + 0 + 28/3*w**3 - 2/3*w + w**2 = 0. Calculate w.
-1/4, 0, 2/7, 1
Let z(t) be the third derivative of 0*t + 4*t**2 + 1/240*t**5 + 1/24*t**3 - 1/48*t**4 + 0. Factor z(d).
(d - 1)**2/4
Let x be ((-99)/6)/(3/(-4)). Solve 19 - 9*w - 3*w**2 - x + 3*w = 0.
-1
Let q be 1 + 7 + -13 + 10. Let j(k) be the third derivative of 1/3*k**3 + 0*k + 1/24*k**4 + k**2 - 1/60*k**q + 0. What is v in j(v) = 0?
-1, 2
Let x(c) be the second derivative of 2*c**7/63 - 11*c**6/45 + 23*c**5/30 - 23*c**4/18 + 11*c**3/9 - 2*c**2/3 + 4*c. Solve x(r) = 0.
1/2, 1, 2
Factor 2/23 + 0*x - 2/23*x**2.
-2*(x - 1)*(x + 1)/23
Let s(c) be the first derivative of -7*c**3/15 - 9*c**2/10 - 2*c/5 + 6. Factor s(a).
-(a + 1)*(7*a + 2)/5
Suppose -6*l - r = -l - 69, 4*l - 4*r - 60 = 0. Let q be l/21*9/2. Factor 0*f**2 + 0*f**4 + 0 - 1/2*f**5 - 1/2*f + f**q.
-f*(f - 1)**2*(f + 1)**2/2
Let q = -14 - -17. Factor 8 - 4*j**2 - 1 + 4*j**q - 3 - 4*j.
4*(j - 1)**2*(j + 1)
Factor 18*d**2 + 15 - 3/2*d**3 - 63/2*d.
-3*(d - 10)*(d - 1)**2/2
Let z = -1677/5 + 336. Factor -3/5*r**2 - z*r + 0.
-3*r*(r + 1)/5
Suppose 3*z - 4*z = -3. Factor 2*h**2 - 3 - 2*h + z.
2*h*(h - 1)
Factor d**3 - 192*d + 48*d**2 + d**3 + 256 - 2*d**3 - 4*d**3.
-4*(d - 4)**3
Factor 81 + 270*t**2 - 145*t + 43*t**4 - 98*t - 138*t**3 - 10*t**4 - 2*t**5 - t**5.
-3*(t - 3)**3*(t - 1)**2
Let k(a) = 25*a**4 - 85*a**3 + 80*a**2 - 22*a. Let d(n) = n. Let q(s) = 2*d(s) + k(s). Factor q(b).
5*b*(b - 2)*(b - 1)*(5*b - 2)
Let d be 2/6*(-8 - -8). Factor 2/7*i**3 + d*i - 2/7*i**4 + 2/7*i**2 + 0 - 2/7*i**5.
-2*i**2*(i - 1)*(i + 1)**2/7
Let q(b) be the second derivative of -b**2 + 1/40*b**5 + 9/4*b**3 + 3/8*b**4 + 2*b + 0. Let c(n) be the first derivative of q(n). Factor c(m).
3*(m + 3)**2/2
Let j be (3 - 1) + -13 + 23. Factor -22*f + j*f + 9*f + 5*f**2.
f*(5*f - 1)
Let w(o) be the first derivative of 14*o**4/5 - 20*o**3/3 + 26*o**2/5 - 8*o/5 + 38. Find b, given that w(b) = 0.
2/7, 1/2, 1
Let n(c) be the second derivative of c**5/90 - c**4/18 + c**3/9 + 3*c**2/2 - 3*c. Let w(q) be the first derivative of n(q). Factor w(l).
2*(l - 1)**2/3
Let k(n) be the first derivative of 8*n**6/9 - 8*n**5/5 - 23*n**4/12 + 5*n**3/3 - n**2/3 - 5. Suppose k(s) = 0. What is s?
-1, 0, 1/4, 2
Let r(a) be the first derivative of -2*a**6/3 + 3*a**4 + 8*a**3/3 - 8. Factor r(y).
-4*y**2*(y - 2)*(y + 1)**2
What is n in 1/2*n**3 + 0*n**2 + 0*n + 0 = 0?
0
Factor -4/9 - 2/3*x - 2/9*x**2.
-2*(x + 1)*(x + 2)/9
Let s(c) = -c + 6. Let t be s(6). Let y = 1 - t. Determine m so that m + 0*m + 12*m**2 + 2*m**4 + 7*m + 1 + y + 8*m**3 = 0.
-1
Let l(t) = t + 1. Let u be l(0). Let n be (16/2)/(2*u). Factor 4/7*i**3 + 0*i**2 + 0*i + 0 - 10/7*i**n.
-2*i**3*(5*i - 2)/7
Let o(b) be the second derivative of b**7/7 - 3*b**6/10 - 6*b**5/5 - 3*b**4/4 - 13*b. Determine y, given that o(y) = 0.
-1, -1/2, 0, 3
Let y(p) = p**4 - p**3 + p**2 + p + 1. Let q be (4/10)/(6/330). Let j(g) = -10*g**4 + 11*g**3 - 14*g**2 - 9*g - 11. Let s(d) = q*y(d) + 2*j(d). Factor s(w).
2*w*(w - 1)**2*(w + 2)
Let j be ((-3)/2)/(6/(-16)). Factor r + 4*r**2 + 6*r**3 + j*r**4 - 2*r**3 + 2*r**3 + 0*r**3 + r**5.
r*(r + 1)**4
Let r be (-1)/2*3*-2. Suppose 2*c - 5 = 3. Factor 2*m**3 + 4*m**4 - c*m**2 - r*m + 2*m**5 - m + m**4 - 1.
(m - 1)*(m + 1)**3*(2*m + 1)
Factor 2/13*k**3 - 2/13*k**2 - 4/13*k + 0.
2*k*(k - 2)*(k + 1)/13
Let g(c) = -3*c**2 + 12*c - 10. Let s(t) = -9*t**2 + 36*t - 29. Let m(f) = -7*g(f) + 2*s(f). Factor m(u).
3*(u - 2)**2
Let q(g) be the third derivative of 2*g**7/105 + g**6/30 - g**5/5 - 5*g**4/6 - 4*g**3/3 + g**2. Solve q(k) = 0.
-1, 2
Let p = -392 - -1968/5. Let h = 10 + -10. Factor -p*y**3 - 4/5*y + 18/5*y**2 + h.
-2*y*(y - 2)*(4*y - 1)/5
Let a = -6 + 8. Suppose 2*w = 4*w - 4. Factor -9*u + 7 + u**w - 5 + 6*u**a.
(u - 1)*(7*u - 2)
Let u = 25/38 - 3/19. Let -1 + 3/2*i**2 - u*i = 0. Calculate i.
-2/3, 1
Let x(u) = u + 1. Let t(m) = -m**2 - 3*m - 4. Let c(l) = t(l) + 4*x(l). Factor c(z).
-z*(z - 1)
Factor -8*t**3 - 4 + 4/3*t**5 + 4/3*t**4 - 44/3*t - 56/3*t**2.
4*(t - 3)*(t + 1)**4/3
Let z be -1*-1*(2 + -1). Factor -3*m - 3*m**2 - z + 2*m**2 + 5*m.
-(m - 1)**2
Determine k so that -8/5*k**5 + 12/5*k + 4*k**2 - 52/5*k**3 + 36/5*k**4 - 8/5 = 0.
-1/2, 1, 2
Let i be 14/12 + 0 - 128/192. Find p, given that 0*p + 1/2*p**2 - i = 0.
-1, 1
Find h such that 0 - 14/13*h**2 + 4/13*h = 0.
0, 2/7
Let c(n) be the second derivative of n**8/8400 + n**7/1400 + n**6/600 + n**5/600 + 7*n**3/6 - n. Let s(f) be the second derivative of c(f). Factor s(t).
t*(t + 1)**3/5
Let c = 44 + -44. Let r(y) be the third derivative of 0*y + 0*y**3 - 1/15*y**6 - 1/12*y**4 + 3*y**2 + c + 1/6*y**5. Factor r(q).
-2*q*(q - 1)*(4*q - 1)
Let z(g) be the third derivative of -g**7/140 - g**6/80 + 3*g**5/40 + 5*g**4/16 + g**3/2 + 2*g**2. Find m, given that z(m) = 0.
-1, 2
Factor 32*a - 4 - 31*a + 2 + a**2.
(a - 1)*(a + 2)
Let c(h) be the first derivative of 5*h**3/3 + 5*h**2/2 - 10*h + 15. Factor c(p).
5*(p - 1)*(p + 2)
Let u = 82 - 79. Factor 6*a**3 - 3/2*a**4 + u*a - 15/2*a**2 + 0.
-3*a*(a - 2)*(a - 1)**2/2
Let p(n) = 3*n**5 - 2*n**3 + n. Let u = 13 + -9. Let s(m) = m**2 - m**4 - 3*m - 27 + 5*m**3 - 7*m**5 + 27. Let j(a) = u*s(a) + 10*p(a). Factor j(q).
2*q*(q - 1)**3*(q + 1)
Factor 0 - 1/3*l + 0*l**2 + 1/3*l**3.
l*(l - 1)*(l + 1)/3
Let s(z) be the third derivative of -z**5/120 + z**4/24 - z**3/12 + 3*z**2 + 3*z. Suppose s(g) = 0. Calculate g.
1
Let y(h) be the first derivative of h**6/420 - h**4/84 - h**2/2 - 2. Let c(m) be the second derivative of y(m). Factor c(v).
2*v*(v - 1)*(v + 1)/7
Let h(f) = -f + 2. Let k be h(4). Let c be -2 - -2 - k - 0. Suppose 3*z**2 + c - 6*z**2 + z + 2*z**2 = 0. Calculate z.
-1, 2
Let a(w) be the second derivative of w**4/12 + w**3/3 - 3*w**2/2 - 41*w. Suppose a(t) = 0. Calculate t.
-3, 1
Let x(b) = b**2 - 19*b - 38. Let d be x(21). Factor -1/3*w**2 + 1/3*w**d + 2/3*w + 0 - 2/3*w**3.
w*(w - 2)*(w - 1)*(w + 1)/3
Let g be (14/(-35))/((-1)/(-155)). Let c = g + 188/3. Solve -2/3*u**2 + 0 - c*u = 0.
-1, 0
Let x(f) be the second derivative of f**7/70 - f**6/20 - 9*f**2/2 - 2*f. Let i(v) be the first derivative of x(v). Let i(k) = 0. Calculate k.
0, 2
Let r(g) = g**3 + 7*g**2 + g - 1. Let f be r(-7). Let o = 8 + f. Determine t, given that 2/7*t**2 + 0*t + o + 2/7*t**3 = 0.
-1, 0
Let u = 64 - 91. Let w be 1/(-3) - 9/u. Let w*q**2 - 1/2*q**3 + 3/2*q + 1 = 0. Calculate q.
-1, 2
Let p be ((-78)/65)/(3/(30/(-4))). Factor -1/6*x + 0 - 1/2*x**p + 1/2*x**2 + 1/6*x**4.
x*(x - 1)**3/6
Let l = 142 - 138. Let w(f) be the second derivative of -1/30*f**5 + 0 + 2*f + 4/3*f**2 + 0*f**3 - 1/6*f**l. Factor w(x).
-2*(x - 1)*(x + 2)**2/3
Suppose -15*q**3 + 23*q**4 - 5*q + 17*q**2 - 2*q**2 - 18*q**4 = 0. Calculate q.
0, 1
Let z(u) be the first derivative of -4 - 1/3*u**2 - 2/27*u**3 - 4/9*u. Suppose z(h) = 0. What is h?
-2, -1
Let q(c) be the third derivative of -c**8/336 + c**7/35 - c**6/15 - c**5/10 + 3*c**4/8 - 38*c**2. Factor q(l).
-l*(l - 3)**2*(l - 1)*(l + 1)
Let n(p) be the second derivative of p**2 + 2/3*p**3 + 1/6*p**4 + 0 - 3*p. Factor n(o).
2*(o + 1)**2
Let r(y) be the second derivative of -y**4/78 - 4*y**3/13 - 36*y**2/13 + y. Determine q, given that r(q) = 0.
-6
Let y(n) = n**2 - 6*n + 2. Let d be y(6). Determine t, given that 6*t + d*t**2 - 5*t + 0*t**2 + t = 0.
-1, 0
Let l(p) = 8*p**3 - 13*p**2 + 13*p + 1. Let z(c) = -8*c**3 + 12*c**2 - 14*c - 2. Let q(u) = 4*l(u) + 3*z(u). Factor q(b).
2*(b - 1)*(2*b - 1)**2
Solve -4*z**5 + 8*z**3 - 302*z + 0*z**3 + 298*z = 0.
-1, 0, 1
Let z(g) be the third derivative of -1/18*g**3 + 6*g**2 + 0*g + 0 - 1/36*g**4 - 1/180*g**5. Factor z(o).
-(o + 1)**2/3
Let r(p) be the second derivative of 1/10*p**2 - 1/60*p**4 + 0 - 2*p + 0*p**3. Factor r(c).
-(c - 1)*(c + 1)/5
Let l(q) be the second derivative of q**5/20 + q**2/2 - 2*q. Let j(o) = -7*o**3 + 9*o**2 - 6*o - 2. Let z(s) = j(s) + 3*l(s). Factor z(c).
-(c - 1)**2*(4*c - 1)
Let z(o) = o**3 + o**2 + 7. Let s be z(0). Let r(n) = n**3 - 7*n**2 + 2. Let g be r(s). Let 2/7*q - 2/7*q**3 - 2/7*q**g + 2/7 = 0. Calculate q.
-1, 1
Factor 1/2*x - 1/2*x**2 + 0.
-x*(x - 1)/2
Let g(z) be the first derivative of 4*z**5 + 18*z**4 + 68*z**3/3 - 16*z - 6. Solve g(b) = 0 for b.
-2, -1, 2/5
Factor -4/9*a + 0 - 2/9*a**4 - 10/9*a**2 - 8/9*a**3.
-2