4 + 144*n**5 - 77*n**4 + 33*n**3 = 0. What is n?
-1/3, 0, 1/4, 2
Let b(v) = v**3 + 9*v**2 - 9*v + 14. Let c be b(-10). Suppose 0 - 1/2*z**c - 1/2*z**2 + 0*z + z**3 = 0. What is z?
0, 1
Let p(k) = 4*k. Let f(b) = -b**2 - 13*b. Let g(m) = 4*f(m) + 14*p(m). Determine t, given that g(t) = 0.
0, 1
Suppose -4*n + 5*n = 3. Factor -13*b**3 + 2*b**2 + n*b + b**2 + 10*b**3 - 3.
-3*(b - 1)**2*(b + 1)
Let x(s) = s**3 - 19*s**2 + 23*s - 5. Let m(b) = -9*b**2 + 12*b - 3. Let c(w) = -5*m(w) + 3*x(w). Solve c(o) = 0 for o.
0, 1, 3
Let q(d) be the third derivative of -2*d**2 - 1/30*d**4 + 0*d + 0*d**3 - 1/150*d**5 + 0. Solve q(x) = 0 for x.
-2, 0
Suppose 30*m + 10/7*m**3 - 100/7 + 96/7*m**2 = 0. What is m?
-5, 2/5
Solve 1/6*o + 1/6*o**2 - 1/3 = 0.
-2, 1
Let s(d) = -11*d**4 + 10*d**3 - 6*d**2 - 16*d + 5. Let l(c) = 10*c**4 - 10*c**3 + 5*c**2 + 15*c - 5. Let a(b) = -6*l(b) - 5*s(b). Suppose a(y) = 0. What is y?
-1, 1
Factor -6*l - 121*l**2 + 118*l**2 + 24*l**4 + 27*l**3 + 15*l**4 + 15*l**5.
3*l*(l + 1)**3*(5*l - 2)
Let z = 2899 - 8771/3. Let t = 25 + z. Determine p so that 1/3 + 2/3*p + t*p**2 = 0.
-1
Let x(b) be the second derivative of 0 - 4/21*b**3 + 1/105*b**6 + 1/7*b**2 + 3*b - 2/35*b**5 + 1/7*b**4. Suppose x(d) = 0. What is d?
1
Suppose 2*c - 2 + 0 = 0. Let n be (1/c + -1)/(-2). Factor n - 2/5*z**2 - 2/5*z.
-2*z*(z + 1)/5
Let v(p) be the first derivative of -10*p**6/3 + 108*p**5/5 - 25*p**4 - 76*p**3/3 + 60*p**2 - 32*p + 13. Determine y, given that v(y) = 0.
-1, 2/5, 1, 4
Let w(y) be the third derivative of -y**5/60 + y**4/6 + 16*y**2. Factor w(l).
-l*(l - 4)
Suppose -94 + 88 = -3*z. Let 1/2*o**z + 0 + 0*o + 1/2*o**3 = 0. What is o?
-1, 0
Let i(y) = -7*y**2 + 16*y + 32. Let t be 9*(-3 - (0 - 4)). Let x(c) = 3*c**2 - 8*c - 16. Let b(u) = t*x(u) + 4*i(u). Factor b(n).
-(n + 4)**2
Let l(p) = -2*p**2 + 4*p - 6. Let b(c) = c - 1. Let w(g) = 6*b(g) + l(g). Factor w(q).
-2*(q - 3)*(q - 2)
What is q in q**3 + 1/4 - 1/4*q**2 - q = 0?
-1, 1/4, 1
Factor 0*p + 1/6*p**2 - 2/3.
(p - 2)*(p + 2)/6
Let q be 7/18 + (-9)/6. Let c = q + 4/3. Solve 2/9*t**3 - 2/9 + 2/9*t**2 - c*t = 0.
-1, 1
Let q(x) be the third derivative of -x**7/16380 + x**6/1170 - x**5/260 + x**4/24 - x**2. Let y(k) be the second derivative of q(k). Factor y(i).
-2*(i - 3)*(i - 1)/13
Factor -3*f**5 + 5*f**3 + 8*f - 2*f**5 - 8*f.
-5*f**3*(f - 1)*(f + 1)
Let q = 55/2 - 27. Factor q*o + 0 + 1/2*o**2.
o*(o + 1)/2
Factor 1/4*h**4 + 0 - 1/4*h**2 + 0*h + 1/4*h**3 - 1/4*h**5.
-h**2*(h - 1)**2*(h + 1)/4
Let b(l) = l**3 + 5*l**2 + 5. Let s be b(-5). Solve 0*z**3 + 0*z**4 + 1/2*z**s + 0*z**2 + 0 + 0*z = 0.
0
Let l(q) be the first derivative of q**6/10 - 11*q**5/25 + 7*q**4/10 - 2*q**3/5 - q**2/10 + q/5 + 28. Factor l(u).
(u - 1)**4*(3*u + 1)/5
Suppose -4*u - 16 = -2*g, -3*u = -3*g + 18 + 9. Let -l + 4*l**2 + g*l + 5*l + 1 - 9*l = 0. Calculate l.
-1, -1/4
Factor 0 - 5 + 2*q**2 + q**2 + 3*q - 1.
3*(q - 1)*(q + 2)
Suppose -4*g + 4 = -5*n, -2*g + 5*g - 3*n = 0. Let d = g + 7. Determine i so that 0*i**4 - 4*i**2 - 2*i**5 + 2*i**4 - 2*i + 2 - i**d + 5*i**3 = 0.
-1, 1
Let u(v) be the third derivative of v**9/120960 - v**7/10080 + v**5/20 + v**2. Let d(p) be the third derivative of u(p). Factor d(b).
b*(b - 1)*(b + 1)/2
Suppose -3*l = -165 + 156. Let w(h) be the third derivative of 3*h**2 + 1/60*h**4 + 1/150*h**5 + 0*h**l + 0*h + 0. Let w(a) = 0. Calculate a.
-1, 0
Let m(p) be the second derivative of 0*p**3 + p + 0*p**4 + 0 + 1/21*p**7 + 0*p**2 - 2/15*p**6 + 1/10*p**5. Find z, given that m(z) = 0.
0, 1
Let y(g) = -5*g**3 - 10*g**2 + 5*g + 4. Let v(j) = -j**3 - j**2 + 1. Let w = -8 + 7. Let t(c) = w*y(c) + 6*v(c). Factor t(u).
-(u - 2)*(u - 1)**2
Let r be 3 - (-5751)/(-924) - -3. Let j = 2/77 - r. Find g such that 0*g**2 - j*g**3 + 0 + 0*g = 0.
0
Let f(w) be the third derivative of w**7/315 - w**5/90 + 2*w**2. Find q such that f(q) = 0.
-1, 0, 1
Let f(j) be the first derivative of 0*j + 1 + 0*j**2 + j**3 + 3/4*j**4. Determine p so that f(p) = 0.
-1, 0
Find m such that 14/15*m - 4/15 - 2/3*m**2 = 0.
2/5, 1
Let u(r) = 78*r**3 - 12*r**2 - 195*r - 78. Let d = -5 - 22. Let s(j) = 6*j**3 - j**2 - 15*j - 6. Let w(m) = d*s(m) + 2*u(m). Factor w(n).
-3*(n - 2)*(n + 1)*(2*n + 1)
Let x(w) be the first derivative of -w**8/840 - w**7/140 - w**6/60 - w**5/60 - w**3/3 - 1. Let s(y) be the third derivative of x(y). Solve s(o) = 0 for o.
-1, 0
Let x(g) be the third derivative of 0 + 1/30*g**6 - g**2 + 0*g**5 - 1/12*g**4 + 0*g**7 + 0*g**3 + 0*g - 1/168*g**8. Factor x(t).
-2*t*(t - 1)**2*(t + 1)**2
Factor 3/2*h**4 + 0*h + 3/2*h**3 + 0 - 3*h**2.
3*h**2*(h - 1)*(h + 2)/2
Let f = -19 + 22. Determine n so that 10*n**2 + 10 - 12 + 5*n**2 - 25 - 9*n - f*n**3 = 0.
-1, 3
Let d(t) be the first derivative of 4*t**5/5 + 2*t**4 + 4*t**3/3 - 9. Find i, given that d(i) = 0.
-1, 0
Let h(s) be the third derivative of s**5/540 + s**4/108 - 9*s**2. Solve h(r) = 0.
-2, 0
Let k(t) be the first derivative of -1/3*t**3 + 0*t**4 - 2 + 1/1440*t**6 + 0*t**5 + 0*t**2 + 0*t. Let y(n) be the third derivative of k(n). Factor y(s).
s**2/4
Let l be (-6)/56*(-212)/42. Let c = l + 3/98. Let -c*q**2 + 0*q + 6/7*q**4 + 0 + 2/7*q**3 = 0. Calculate q.
-1, 0, 2/3
Let v(z) = -2*z + 2. Let h be v(0). Factor -2*l**3 + 2 - 5*l + l**h + 5*l**2 - l.
-2*(l - 1)**3
Let b(g) = -g**3 + 8*g**2 + 10*g - 6. Let r be b(9). Let m(q) be the first derivative of -1 + 1/5*q**2 + 3/10*q**4 + 0*q - 8/15*q**r. Factor m(t).
2*t*(t - 1)*(3*t - 1)/5
Let s = 10 + -5. Suppose -m - s*l + 5 + 7 = 0, -m = l - 4. Find v, given that 0 - 1/2*v**3 - 1/2*v**5 + 0*v - v**4 + 0*v**m = 0.
-1, 0
Suppose 3*c = -6*r + 7*r + 17, 0 = 2*r + 4*c + 4. Let p = r - -8. Factor z - 3*z**3 + 0*z + p*z + 3*z**2 + 5*z.
-3*z*(z - 2)*(z + 1)
Factor 16/13*m + 56/13*m**2 + 44/13*m**3 + 0 + 10/13*m**4.
2*m*(m + 2)**2*(5*m + 2)/13
Let k be -2*4/(-8)*2. Factor h**2 - 3*h + 0 + 0 + k.
(h - 2)*(h - 1)
Let d(k) be the second derivative of k**7/420 - k**6/90 + k**5/60 - 7*k**3/6 + 5*k. Let p(g) be the second derivative of d(g). Let p(v) = 0. Calculate v.
0, 1
Suppose -3*r - 7 = g, 2*r + 1 + 2 = -g. Suppose -g*v + 0*v - 6 + 4*v + 4*v + 3*v**2 = 0. Calculate v.
-2, 1
Let r be ((-18)/8)/(213/(-284)). Let 1/6*i + 0 - 1/6*i**2 - 1/6*i**r + 1/6*i**4 = 0. What is i?
-1, 0, 1
Let v = 77/10 - 76/5. Let z = v - -8. Factor -z*t**3 + 0*t + 0 - t**2.
-t**2*(t + 2)/2
Let p be (12/9)/(70/15). Determine v, given that 0*v**2 + p*v**4 + 0 + 0*v - 2/7*v**3 = 0.
0, 1
Let m(r) be the second derivative of 27/4*r**2 - 3/2*r**3 + 0 + 1/8*r**4 - 3*r. Solve m(k) = 0 for k.
3
Let v(a) be the first derivative of -25*a**6/6 - 3*a**5 + 35*a**4/4 + 5*a**3 - 5*a**2 + 32. What is m in v(m) = 0?
-1, 0, 2/5, 1
Let d = 16 + -24. Let z = d - -11. Factor 11*w**3 + 3*w**2 - 8*w**z - 3*w**2 - 3*w.
3*w*(w - 1)*(w + 1)
Let x be (-2)/(-2 + 4/3). Suppose -5*d = -x*d. Factor w**2 + d*w - w + 0*w.
w*(w - 1)
Suppose -x = -2*j, -6*x + 4*j = -x. Suppose -v**3 + 0 - 1/3*v**4 + x*v - 2/3*v**2 = 0. What is v?
-2, -1, 0
Let f(i) be the third derivative of -i**6/540 - i**5/90 - i**4/54 + 12*i**2. Factor f(g).
-2*g*(g + 1)*(g + 2)/9
Factor 119 + 55*y - 2*y**4 - 3*y**4 + 15*y**2 - 89 - 15*y**3.
-5*(y - 2)*(y + 1)**2*(y + 3)
Let g(i) be the first derivative of 3*i**4/4 + 4*i**3 + 6*i**2 - 14. Factor g(c).
3*c*(c + 2)**2
Let q be 14/28*2/4. Let z = 13/4 - 3. Factor q*h**3 + 0 + z*h**4 - 1/4*h**2 - 1/4*h.
h*(h - 1)*(h + 1)**2/4
Let q(d) = d**3 + 10*d**2 + 8*d - 7. Suppose -2*t + 3*t + 9 = 0. Let p be q(t). Factor 3*n**p + 0*n + 3*n + n**3 + 1 + 0*n.
(n + 1)**3
Factor -2*o - 3/4 + 0*o**3 - 3/2*o**2 + 1/4*o**4.
(o - 3)*(o + 1)**3/4
Let d(c) be the third derivative of -c**5/10 - c**4/12 + 2*c**3/3 - 4*c**2. Find o such that d(o) = 0.
-1, 2/3
Let n(j) be the third derivative of -j**7/1680 - j**6/360 + j**5/240 + j**4/24 + j**3/3 + 3*j**2. Let d(h) be the first derivative of n(h). Factor d(o).
-(o - 1)*(o + 1)*(o + 2)/2
Find l such that 40*l**2 + 68*l**3 + 4*l**5 + 2815 + 32*l**4 - 2815 = 0.
-5, -2, -1, 0
Let m = 724 - 720. Factor 0 - 4/7*s**3 - 2/7*s**2 + 0*s - 2/7*s**m.
-2*s**2*(s + 1)**2/7
Let u(k) be the third derivative of k**7/1155 + 2*k**6/165 - 3*k**5/110 + 14*k**2. Let u(j) = 0. Calculate j.
-9, 0, 1
Let n(z) = -z**2 + 3*z - 3. Let v(d) be the second derivative of d**4/6 - 2*d**3/3 + 2*d**2 +