 3*v**4 + v**5 + 0 = 0. Calculate v.
-1, 1
Suppose 0 = h - k, -5*h + 0*k = 4*k - 27. Factor 1/3*d**4 + 0*d + 4/3*d**2 + 4/3*d**h + 0.
d**2*(d + 2)**2/3
Let g be (-1)/4 - (-9)/12. Let h(k) be the first derivative of -1 - 2*k + 1/3*k**3 - g*k**2. Suppose h(r) = 0. Calculate r.
-1, 2
Let l(h) be the third derivative of h**8/10080 - h**5/60 + 3*h**2. Let m(u) be the third derivative of l(u). Suppose m(a) = 0. What is a?
0
Let s(y) = -2*y**4 + 11*y**3 - 5*y - 5. Let a(m) = -m**4 + 10*m**3 - 4*m - 4. Let x(d) = 5*a(d) - 4*s(d). Factor x(f).
3*f**3*(f + 2)
Let a = 365/3 + -121. Find w such that 2/3*w**2 - a*w - 4/3 = 0.
-1, 2
Let m be (-12)/(-7) + (-22)/(-77). Let a(d) be the first derivative of 1/3*d**3 + 4/5*d**5 + 0*d**2 + m + 0*d - d**4. Determine s so that a(s) = 0.
0, 1/2
Suppose 7*i = 12*i - 20. Factor 48*d + i*d**2 - 4*d**4 - 40*d - 5*d**3 - 3*d**3.
-4*d*(d - 1)*(d + 1)*(d + 2)
Let d(v) be the third derivative of v**5/80 + v**4/4 + 2*v**3 + 19*v**2. Suppose d(x) = 0. What is x?
-4
Let d(i) = -i**3 + 3*i**2 + 5*i + 1. Let w be d(-1). Suppose 3*t = 2*f + 4, -7*f = 2*t - 3*f - 8. Determine z, given that 2/3*z**t + w + 4/9*z = 0.
-2/3, 0
Suppose i = 6*i - 4*x - 31, 2*x = 3*i - 17. Suppose i*j - 2*t - 2 = 0, -3*j - 2*t + 3 = -7. Factor a**4 + 3*a**2 - a**j - 3*a**2.
a**2*(a - 1)*(a + 1)
Let k be ((-132)/495)/(4/(-18)). What is x in -k*x + 0 - 3/5*x**2 = 0?
-2, 0
Let p = 9 - 8. Let t be (p + -1)/(11/11). Determine l so that 1/4*l**2 + 0*l + t = 0.
0
Let z(r) = -980*r**3 + 436*r**2 + 464*r + 64. Let j(u) = -196*u**3 + 87*u**2 + 93*u + 13. Let b(s) = -16*j(s) + 3*z(s). What is c in b(c) = 0?
-2/7, 1
Let t(i) = i**4 - i**3 + i**2 - 1. Let o(a) = 5*a**4 - 4*a**3 - 2*a**2 + 8*a - 7. Let u(y) = 5*o(y) - 20*t(y). Determine j, given that u(j) = 0.
-3, 1
Factor -38*f - 18*f**2 + 24 + 9*f - 25*f + 3*f**2.
-3*(f + 4)*(5*f - 2)
Let b be ((-1)/(-2))/(((-10)/(-12))/5). Factor 4/3*j + 0 + 14/3*j**2 - 6*j**b.
-2*j*(j - 1)*(9*j + 2)/3
Let r(y) be the third derivative of 3*y**8/112 - 2*y**7/35 - y**6/24 + y**5/5 - y**4/6 - 16*y**2. Factor r(a).
a*(a - 1)*(a + 1)*(3*a - 2)**2
Let l(i) = -2*i**2 - 28*i + 3. Let b be l(0). Factor -2/3*w**2 + 2/3 + 1/3*w - 1/3*w**b.
-(w - 1)*(w + 1)*(w + 2)/3
Let t(d) be the second derivative of -d**4/72 + d**3/36 + 6*d. Factor t(z).
-z*(z - 1)/6
Let l(x) be the first derivative of -x**6/2 + 6*x**5/5 + 3*x**4 - 8*x**3 - 50. Determine t so that l(t) = 0.
-2, 0, 2
Let k be (-2)/(-10) - (-48)/10. Suppose -2 - 5*c**2 + c**3 - 3*c + k*c**2 = 0. Calculate c.
-1, 2
Suppose -5*u = -9*u + 8. Let v be 10/(-5) - (-5)/u. Factor -v - 1/2*o**2 - o.
-(o + 1)**2/2
Let z = 96/11 + -266/33. Find u, given that 1/3*u - 2/3 + z*u**2 - 1/3*u**3 = 0.
-1, 1, 2
Let i(b) be the third derivative of b**6/200 - b**5/100 - b**4/40 + b**3/10 + 11*b**2. Factor i(o).
3*(o - 1)**2*(o + 1)/5
Suppose 3*q - q - 6 = 0. Factor 3 + b**3 - 15*b - 11*b**q + 21*b**2 + b**3.
-3*(b - 1)**2*(3*b - 1)
Let r be 1 - (-1 - -1) - 23. Let u = r - -89/4. Let -1/2*j**2 + 0 + 1/4*j**3 + u*j = 0. What is j?
0, 1
Factor 4/5*l**3 + 0*l**2 - 12/5*l - 8/5.
4*(l - 2)*(l + 1)**2/5
Suppose 4*d - 4 = 2*b + 4, 2 = b. Determine s, given that 2 + 0*s**3 + 1 + s**d + 5*s**2 + 7*s = 0.
-3, -1
Factor 0 - 5/4*b**2 + 1/2*b + 1/4*b**4 - 1/4*b**5 + 3/4*b**3.
-b*(b - 1)**3*(b + 2)/4
Factor 2/5*x - 2/5*x**3 + 2/5*x**2 - 2/5.
-2*(x - 1)**2*(x + 1)/5
Suppose -5*j - 28 = -8*j - 5*t, -t = 4. Let k be 3/(-2*(-6)/j). Factor u + 6*u**3 - 2*u**2 + u**5 - 7*u**4 + 3*u**k - 2*u**2.
u*(u - 1)**4
Let c = 321 - 961/3. Factor 1/3*o + 0*o**3 - 2/3*o**2 + c*o**4 + 0 - 1/3*o**5.
-o*(o - 1)**3*(o + 1)/3
Suppose 33 - 133 = -5*o. Factor o*l**4 - 23*l**4 + 4 + 6*l**3 - 6*l - 1.
-3*(l - 1)**3*(l + 1)
Let y(j) be the third derivative of -j**8/1512 - 4*j**7/945 - j**6/108 - j**5/135 - 5*j**2. Find s, given that y(s) = 0.
-2, -1, 0
Let r(g) be the second derivative of -g**7/63 + 2*g**5/15 - 11*g. Find q such that r(q) = 0.
-2, 0, 2
Suppose 3*m - 19 - 17 = -3*t, -3*t = -m - 24. Suppose 3*z - 3*j + t = 2*z, 0 = -5*z - 3*j + 9. Factor z - 3*q**2 + 0 + 3.
-3*(q - 1)*(q + 1)
Let z(r) = 17*r**4 - 6*r**3 + 5*r**2 + 17*r. Let g(b) = b**2 - 9*b**4 + 0*b**2 - 9*b + 5*b**3 - 4*b**2 - 2*b**3. Let q(y) = 11*g(y) + 6*z(y). Factor q(f).
3*f*(f - 1)**2*(f + 1)
Let z(r) be the third derivative of -r**5/150 - r**4/60 + 6*r**2. Factor z(a).
-2*a*(a + 1)/5
Suppose 2*g - 1 - 41 = 0. Factor 21*c + g*c**2 + 8 + 6*c**3 + 0 - 2.
3*(c + 1)*(c + 2)*(2*c + 1)
Let q be (-4)/((-16)/4)*(-1)/(-3). Let -q*k**3 + 2/3*k + 0 + 1/3*k**2 = 0. What is k?
-1, 0, 2
Let x(l) = -10*l**5 + 13*l**4 + 10*l**3 - 12*l**2 + 3. Let o(v) = 2*v**5 - v**5 - v**3 + 6*v**4 - 7*v**4. Let s(t) = -4*o(t) - x(t). Factor s(w).
3*(w - 1)**3*(w + 1)*(2*w + 1)
Let u be (56/12)/(2/6). Let v(w) = -5*w**2 - 2*w. Let d(r) = 2*r**2 + r. Let s(j) = u*d(j) + 6*v(j). Factor s(h).
-2*h*(h - 1)
Let j(m) be the second derivative of 1/12*m**4 - 1/30*m**6 + 0 + 0*m**3 - 1/5*m**5 + 0*m**2 + 2/21*m**7 + 7*m. What is p in j(p) = 0?
-1, 0, 1/4, 1
Determine n, given that -4/7*n + 0 - 2/7*n**2 = 0.
-2, 0
Let o(d) = d**5 - d**4. Let v(l) = 6*l**3 + 213*l**5 - 212*l**5 - l**4 - 4*l**2 - 2*l**3. Let c(u) = -6*o(u) + 3*v(u). Suppose c(n) = 0. Calculate n.
-2, 0, 1, 2
Find c, given that 1 + 2*c**3 - c**4 - 3 - c + 0*c - c**3 + 3*c**2 = 0.
-1, 1, 2
Let z be 2/(-8) - (1108/240 - 5). Let x(v) be the second derivative of -z*v**6 + 1/21*v**7 + 0*v**2 - 1/3*v**3 - 3*v + 0*v**5 + 0 + 1/3*v**4. Factor x(f).
2*f*(f - 1)**3*(f + 1)
Let s = 1/16 + 23/16. Factor 3*l - s*l**2 + 0.
-3*l*(l - 2)/2
Solve 0 + 0*i - 2/3*i**5 + 2/3*i**2 + 2/3*i**3 - 2/3*i**4 = 0 for i.
-1, 0, 1
Let q = -40 - -80. Suppose 0 = -3*d + 7*d - q. Determine i, given that 4*i - 6*i**2 + 0*i + d*i**3 - 3*i - 5*i = 0.
-2/5, 0, 1
Let q be 20/11 - (-7)/((-308)/(-8)). Factor 4/9 - 2/9*c - 2/9*c**q.
-2*(c - 1)*(c + 2)/9
Let f(x) = -x + 12. Let h be f(9). Suppose 4*t - 4*t + 0*t - t**2 + h*t = 0. Calculate t.
0, 3
Suppose 8*b - 60 = -12*b. Let v(k) be the second derivative of 2/9*k**3 + b*k - 7/60*k**5 + 0*k**2 + 0 - 1/3*k**4. Solve v(i) = 0.
-2, 0, 2/7
Suppose -4*w = -4*m + 3*m + 1, 0 = -5*m + 4*w + 37. Factor 6*l - 4 + m*l**3 - 19*l**3 + 8*l**3.
-2*(l - 1)**2*(l + 2)
Factor 4/5 + 1/5*d**3 + 8/5*d + d**2.
(d + 1)*(d + 2)**2/5
Solve -z**2 + z + 0*z**3 + 0*z**2 - z**3 + 1 = 0.
-1, 1
Let s(w) be the first derivative of w**5/20 - 3*w**4/16 + w**3/6 + 25. Factor s(m).
m**2*(m - 2)*(m - 1)/4
Suppose -3*k = 2 - 11. Suppose f + k*f - 8 = 0. Factor 3*h**2 - 6*h**4 + 4*h - h**f - 4*h**3 + 8*h**2 - 4*h**2.
-2*h*(h - 1)*(h + 1)*(3*h + 2)
Suppose 0 = -3*k - r + 1, 0 = -2*k + 3*r + 19. Let o be (-3)/6 + 5/k. Determine b, given that 2*b**4 + b**3 - b - b**4 + 0*b**o - b**2 = 0.
-1, 0, 1
Find x, given that 0 + 2/15*x**4 - 2/15*x**2 - 2/5*x**3 + 2/5*x = 0.
-1, 0, 1, 3
Let u = -54 + 57. Determine r, given that 3*r - 7/4*r**u + 9/4*r**2 - 1 = 0.
-1, 2/7, 2
Factor -2/5 + 13/5*k + 3*k**2.
(k + 1)*(15*k - 2)/5
Suppose 2*t = -g + 7, 2*t = g - 3*t. Let s(i) be the third derivative of 0*i**4 + 0*i**3 + 0*i + 2*i**2 + 0 - 1/150*i**g. Factor s(n).
-2*n**2/5
Let 9/4*k + 3/4*k**3 + 3/4 + 9/4*k**2 = 0. What is k?
-1
Let w(d) = -4*d + 3. Let y be w(-3). Suppose -3*t = 2*t - y. Determine k, given that -k**2 + 0*k + 10 - 10 + 2*k - k**t = 0.
-2, 0, 1
Let y(p) be the first derivative of -1/9*p**2 + 2/9*p**3 + 2/45*p**5 + 0*p + 1 - 1/6*p**4. Suppose y(l) = 0. Calculate l.
0, 1
Determine k so that 1/4*k**2 + 0 + 1/2*k = 0.
-2, 0
Let a(b) be the first derivative of -2*b**5/65 + b**4/13 - 2*b**3/39 + 19. What is h in a(h) = 0?
0, 1
Factor 4/7*a**3 - 1/7*a + 0 + 0*a**2.
a*(2*a - 1)*(2*a + 1)/7
Let j = -20 - -31. Let q be ((-6)/5)/((-6)/(-20)). Let m(l) = 5*l**3 - l - 4. Let x(p) = 14*p**3 - 3*p - 11. Let c(v) = j*m(v) + q*x(v). Factor c(t).
-t*(t - 1)*(t + 1)
Suppose a - 19 = -2*g + 5, a = 4*g - 48. Let m be 4/g - 1/3. Factor 2*r + m*r - r**3 + r**2 - r**4 - r.
-r*(r - 1)*(r + 1)**2
Let b(l) be the third derivative of -1/45*l**6 + 1/15*l**5 + 1/9*l**3 + 1/315*l**7 - 1/9*l**4 + 0 + l**2 + 0*l. Factor b(d).
2*(d - 1)**4/3
Let m(i) = i**3 + 5*i**2 - i - 5. Let t(b) = 2*b**3 + 16*b**2 - 2*b - 16. Let k(s) = 11*m(s) - 4*t(s). Factor k(y).
3*(y - 3)*(y - 1)*(y + 1)
Let c(y) be the first derivative of 0*y + 0*