l so that 1/3*l**2 + 0 + p*l**3 + 0*l = 0.
-1, 0
Let b(x) be the first derivative of -9*x**4/16 + 5*x**3/2 - 3*x**2/8 - 9*x/2 + 22. Factor b(t).
-3*(t - 3)*(t - 1)*(3*t + 2)/4
Let l(b) be the second derivative of b**7/35 + b**6/40 - b**5/10 - b**4/8 + 5*b**2 + 4*b. Let f(p) be the first derivative of l(p). Factor f(u).
3*u*(u - 1)*(u + 1)*(2*u + 1)
Let w(z) be the first derivative of -z - 1/8*z**4 + 1/4*z**2 + 1/3*z**3 - 1. Factor w(y).
-(y - 2)*(y - 1)*(y + 1)/2
Let t(v) be the second derivative of -4*v**6/15 + v**5/5 + v**4/3 - 20*v. Determine s so that t(s) = 0.
-1/2, 0, 1
Factor 18/5*d**2 - 8*d + 8/5.
2*(d - 2)*(9*d - 2)/5
Let l(s) = -s**3 - 12*s**2 - s - 12. Let f be l(-12). Let -r**4 + 1 + 7*r + 2*r**3 + f + 11*r**3 + 15*r**2 + 5*r**4 = 0. Calculate r.
-1, -1/4
Find v, given that 0*v**2 + 15*v**3 - 4*v - 4 - 14*v**3 + v**2 = 0.
-2, -1, 2
Factor 45/2*y**3 - 3 - 75/4*y**4 - 9*y + 33/4*y**2.
-3*(y - 1)**2*(5*y + 2)**2/4
Let b(l) be the first derivative of l**3 - 3*l**2 + 3*l + 29. Find g, given that b(g) = 0.
1
Factor n + 29*n**2 - 31*n**2 - 4*n**4 - 2*n**3 + 5*n**4 + 1 + n**5.
(n - 1)**2*(n + 1)**3
Let b(o) be the second derivative of -o**4/12 - o**3/6 - o**2/2 + o. Let s(a) = 2*a + 0 + 2*a - 4 + 6. Let t(r) = 2*b(r) + s(r). Factor t(j).
-2*j*(j - 1)
Determine q so that -4 - 35*q + 25*q**2 - 30*q**4 + 139*q**3 - 104*q**3 + 9 = 0.
-1, 1/6, 1
Let l(h) be the third derivative of 1/12*h**5 - 1/12*h**4 + 0 + 0*h + 0*h**3 - 3*h**2. Factor l(k).
k*(5*k - 2)
Suppose -4*j = -3*j. Let y be (10/30)/((-4)/(-3)). Factor 1/4*k + j + y*k**2.
k*(k + 1)/4
Let i(g) be the second derivative of -3/2*g**2 + 1/4*g**3 + 1/40*g**5 + 0 - 3*g - 1/8*g**4. Let r(n) be the first derivative of i(n). Factor r(h).
3*(h - 1)**2/2
Let r(p) = -p**3 + 2*p**2 + 5*p. Let b(s) = -s**2 - 1. Let g(n) = -12*b(n) - 4*r(n). Factor g(t).
4*(t - 1)**2*(t + 3)
Let w(a) = -a**3 + 3*a**2 - 2. Let j be w(2). Let 0*v**3 - 3*v**3 + 2*v**3 - j*v**4 - v**3 = 0. Calculate v.
-1, 0
Let j = 31 - 29. Let h(f) be the first derivative of -1/9*f**3 - 1/3*f**2 - j - 1/3*f. Find p such that h(p) = 0.
-1
Let g = 19 - 19. Let p(v) be the second derivative of g - 1/5*v**2 + 1/5*v**3 + v - 1/10*v**4 + 1/50*v**5. What is m in p(m) = 0?
1
Find p, given that 16*p**2 - 7*p**2 - 3*p**2 - 7*p - 2 - 2*p**2 = 0.
-1/4, 2
Suppose 3*g + 2*g = -4*h + 77, 3*g - 36 = h. Let s(p) = p - 11. Let u be s(g). Factor 2/11 - 2/11*l**u + 0*l.
-2*(l - 1)*(l + 1)/11
Let n(g) = -g**4 - g**3. Let a(x) = -5*x**4 - 10*x**3 - 11*x**2 - 6*x. Let c(b) = a(b) - 4*n(b). Factor c(s).
-s*(s + 1)*(s + 2)*(s + 3)
Let x = -10 + 14. Suppose 0 = 7*h - x*h. Solve 1/4*a + h + 0*a**2 - 1/4*a**3 = 0.
-1, 0, 1
Let v(h) be the third derivative of 0*h**3 + 1/16*h**4 + 7/80*h**5 + 2*h**2 + 0 + 0*h. Factor v(w).
3*w*(7*w + 2)/4
Let x(n) be the second derivative of -35*n**7/12 - 182*n**6/15 - 797*n**5/40 - 199*n**4/12 - 23*n**3/3 - 2*n**2 + n - 3. Determine t, given that x(t) = 0.
-1, -2/5, -2/7
Let y(t) = 4*t**3 - 5*t**2 - 9*t - 6. Let u(l) = 3*l**3 - 5*l**2 - 8*l - 5. Let h(k) = 6*u(k) - 5*y(k). Solve h(p) = 0 for p.
-3/2, -1, 0
Let b be (-168)/(-45) + (-6)/15 + -3. Let y(a) be the first derivative of 1/6*a**4 + 0*a + 1 + 4/9*a**3 + b*a**2. Factor y(j).
2*j*(j + 1)**2/3
Factor -6*m - 9/2*m**2 + 6.
-3*(m + 2)*(3*m - 2)/2
Let z(a) = -7*a**5 - 7*a**4 - 4*a**3 - 4*a**2 - a + 5. Let y(m) = m**5 + m**4 + m**3 + m**2 - 1. Let n(f) = 6*y(f) + z(f). Let n(o) = 0. Calculate o.
-1, 1
Suppose 0*q**3 + 5*q**3 - 26*q**2 + 6*q**2 - 16 - 15*q + 106 = 0. What is q?
-2, 3
Let o be ((-40)/(-80))/(22/8). Solve -6/11*l + 0*l**2 - 4/11 + o*l**3 = 0 for l.
-1, 2
Let f(r) be the second derivative of -r**8/26880 - r**7/10080 - r**4/3 - 3*r. Let z(c) be the third derivative of f(c). Suppose z(m) = 0. Calculate m.
-1, 0
Let q be 6*22/(-165) - -2*1. What is b in q - 8/5*b + 2/5*b**2 = 0?
1, 3
Let j be (20/25)/(-4)*2/(-4). Let y(f) be the first derivative of 0*f + 0*f**2 - 1/15*f**6 + j*f**4 - 4/15*f**3 + 4/25*f**5 + 2. Solve y(o) = 0 for o.
-1, 0, 1, 2
Let h be -2*5/20*-4. What is y in -5/6*y**4 - 1/2*y + 7/6*y**h - 1/3 + 1/2*y**3 = 0?
-1, -2/5, 1
Let w be 4/(-6) + 14/3. Factor 4*z**2 + z - z**2 - 5*z**2 + 2*z**w - z**5.
-z*(z - 1)**3*(z + 1)
Factor -26/3*i**2 - 8*i - 8/3 - 2/3*i**4 - 4*i**3.
-2*(i + 1)**2*(i + 2)**2/3
Let f be ((-18)/(-120))/((-3)/(-2)). Let s(x) be the second derivative of -f*x**5 + 2*x + 1/4*x**4 + 1/4*x**2 + 1/60*x**6 - 1/3*x**3 + 0. Factor s(i).
(i - 1)**4/2
Let l(v) = 2*v**3 - v**2 - 5*v - 2. Suppose m = -2*i - 4, -2 = -2*m + 2. Let q(p) = -2*p**3 + 4*p + 2. Let u(n) = i*q(n) - 2*l(n). Solve u(s) = 0.
-1, 1
Let -5 - 1 - 7*a + 15*a**2 - 2*a = 0. What is a?
-2/5, 1
Let s be 1 + (0 + 2 - 3). Let i(h) be the third derivative of -h**2 + s*h - 1/150*h**5 + 1/300*h**6 + 0*h**3 + 0 + 0*h**4. Suppose i(c) = 0. What is c?
0, 1
Let i(b) be the third derivative of b**8/15120 + b**7/7560 - b**6/1080 - b**5/20 - 2*b**2. Let y(g) be the third derivative of i(g). Factor y(w).
2*(w + 1)*(2*w - 1)/3
Determine d, given that 4/3*d - 2/3*d**3 + 0 + 2/3*d**2 = 0.
-1, 0, 2
Suppose -4 = -2*w + 6. Factor 0*q**2 + 12*q**2 - 8*q**3 - w*q**4 - 8*q + 2 + 5*q**4 + 2*q**4.
2*(q - 1)**4
Let x be 5/2 + -2 + (-1)/(-6). Solve x - 4/3*k + 2/3*k**2 = 0.
1
Find y such that y**4 + 0*y**4 + 4*y**5 + 4*y**2 - 5*y**4 - y**3 - 3*y**3 = 0.
-1, 0, 1
Suppose -t + 5 = -9. Let q(f) = -f + 14. Let v be q(t). Factor 2/5*g**2 - 1/5*g**3 + 0*g + v.
-g**2*(g - 2)/5
Suppose 2/3*n**3 + 10*n - 14/3 - 6*n**2 = 0. What is n?
1, 7
Let i = 807 + -804. Determine p so that -3/2*p**2 - 9/2*p**i - 3/2*p**4 + 9/2*p + 3 = 0.
-2, -1, 1
Let t be 18/6 + (-178)/42. Let n = t + 11/7. Let 0 - n*v**3 + 1/3*v**5 + 1/3*v**2 + 0*v - 1/3*v**4 = 0. What is v?
-1, 0, 1
Let f(h) be the first derivative of -2*h**5/25 + h**4/10 + 2*h**3/5 - h**2 + 4*h/5 - 4. Factor f(m).
-2*(m - 1)**3*(m + 2)/5
Determine g, given that -8*g + 2*g**5 - 15*g**2 - 22*g**3 - 4*g**3 - 4*g**5 - 12*g**4 - 9*g**2 = 0.
-2, -1, 0
Suppose -2*o = -1 - 3. Find d, given that 5*d**3 - d + 2*d**2 - 6*d**3 - 2 + o*d = 0.
-1, 1, 2
Let x be 1 + 0 + 7*-1. Let g = 6 + x. Factor -1/2*b**2 + 0*b + g - 1/2*b**3.
-b**2*(b + 1)/2
Let q be 52/16 - 1/4. Suppose q*r + r - 12 = 0. Solve -i**2 + i**3 + 2*i**3 - 2*i**r = 0.
0, 1
Let k(z) be the third derivative of -z**8/3360 - z**7/1680 + z**6/720 + z**5/240 + z**3/3 + z**2. Let a(i) be the first derivative of k(i). Factor a(x).
-x*(x - 1)*(x + 1)**2/2
Let i = 7 - 4. Let f = i - 0. Solve 2/3*o**4 - 2/3*o**2 + 0 - 2/3*o**f + 2/3*o = 0.
-1, 0, 1
Let x be (5/80)/(5/(-4)*-1). Let c(t) be the first derivative of 0*t**2 + 0*t + x*t**4 + 2/25*t**5 + 2 + 0*t**3 + 1/30*t**6. Suppose c(r) = 0. What is r?
-1, 0
Let p(y) be the first derivative of 2/3*y**3 - 1 - 5/4*y**4 + 0*y**2 + 0*y + 2/5*y**5. Factor p(r).
r**2*(r - 2)*(2*r - 1)
Suppose 13*z + 15 - 41 = 0. Let -4/5 + 4/5*t**4 + 0*t**z - 8/5*t + 8/5*t**3 = 0. What is t?
-1, 1
Let b(x) be the first derivative of -x**4/48 + 8*x - 2. Let g(n) be the first derivative of b(n). Factor g(p).
-p**2/4
Factor -1/4*k**5 - 3/4*k**4 + k**2 + 0*k**3 + 0*k + 0.
-k**2*(k - 1)*(k + 2)**2/4
Let x(h) = h - h**2 - 4 - 3 + 6*h + 4. Let g be x(5). Solve -3*u**3 - g*u**2 + u**3 + 5*u**2 = 0 for u.
-1, 0
Let d be ((-6)/(-4))/((-30)/560). Let z = 32 + d. Factor 8/3*f**4 + 6*f**3 + 2/3*f + 0 + z*f**2.
2*f*(f + 1)**2*(4*f + 1)/3
Let t(d) be the first derivative of 4*d**5/5 - 3*d**4 + 4*d**3/3 + 6*d**2 - 8*d - 14. Factor t(b).
4*(b - 2)*(b - 1)**2*(b + 1)
Let s(g) be the second derivative of -g**9/60480 + g**8/8960 - g**7/3360 + g**6/2880 - g**4/6 + 2*g. Let i(l) be the third derivative of s(l). Factor i(k).
-k*(k - 1)**3/4
Let i(d) be the first derivative of 0*d**3 + 1/8*d**2 + 0*d - 1/16*d**4 + 2. Determine l so that i(l) = 0.
-1, 0, 1
Let j = 61/70 + -4/5. Let o(p) be the first derivative of -2 - 4/21*p**3 - j*p**4 + 0*p - 1/7*p**2. Factor o(s).
-2*s*(s + 1)**2/7
Let d(v) be the second derivative of -v**7/147 + 2*v**6/105 - v**5/70 - 4*v. Factor d(n).
-2*n**3*(n - 1)**2/7
Let q be 2 + ((-2)/12)/((-18)/(-162)). Suppose q*k**2 - k + 1/2 = 0. Calculate k.
1
Let t(s) = -s**2 - 6*s + 6. Let b be t(-7). Let l be 4/2 - (-1 - b). Let 4*k**3 - 2*k - l*k**3 + 3*k - k**3 + 2*k**2 = 0. What is k?
-1, 0
Suppose -6 - 32 = -2*w. S