2/3*k**2 + 1/3*k**5 - 4*k + 11/3*k**3 = 0?
-2, -1, 1
Let l = 96 - 92. Find n, given that 21/2*n**2 + 0 + 3*n + 9/2*n**l + 12*n**3 = 0.
-1, -2/3, 0
Let u be 1/2*6*4/36. Factor -u*r**2 - 2/3*r - 1/3.
-(r + 1)**2/3
Let b = -33 + 35. Let k(x) be the second derivative of x + 1/12*x**6 - 9/40*x**5 + 0*x**b + 0 + 1/12*x**7 + 1/6*x**3 - 5/24*x**4. Let k(g) = 0. What is g?
-1, 0, 2/7, 1
Let r = 14 + -9. Factor r - 3 + 27*q**2 - 3*q - 15*q + 1.
3*(3*q - 1)**2
Let b be (-10 + -5)/((-2)/(-1)). Let f = 8 + b. Factor -1/2*n - n**2 + n**4 + f*n**5 + 0 + 0*n**3.
n*(n - 1)*(n + 1)**3/2
Factor -8*o - 20*o**2 + 5*o**3 - 4*o**4 - 10*o**3 - 11*o**3.
-4*o*(o + 1)**2*(o + 2)
Suppose 2*o = -3*o + 10. Let l(a) be the second derivative of 0 - 2/3*a**3 - a - a**o - 1/6*a**4. Factor l(z).
-2*(z + 1)**2
Let m be 0 - 0 - 2*-10. Suppose 4*f + 4*k - m = 0, -5*f + 31 = 3*k + 12. Factor 2 + t**3 + 4*t**f - 10*t**2 + 3*t**3.
2*(t - 1)**2*(2*t + 1)
Let g be (-24)/(-45) - (-2)/(-10). Let j = 2/9 + 4/9. Factor -1/3 - j*p - g*p**2.
-(p + 1)**2/3
Let g(i) be the third derivative of -i**9/7560 - i**8/3360 - i**4/8 + 4*i**2. Let a(y) be the second derivative of g(y). Let a(p) = 0. What is p?
-1, 0
Let h(i) be the third derivative of 5*i**8/336 - i**7/21 + i**6/24 + 3*i**2. Factor h(l).
5*l**3*(l - 1)**2
Suppose -7 + 3 = -4*s. Suppose z - 4 + s = 0. Factor 2 + y**z + 0*y**3 - 3*y + 0*y.
(y - 1)**2*(y + 2)
Let u(b) = 24*b**2 + 30*b + 6. Let m(q) = 12*q**2 + 15*q + 3. Let i(k) = 9*m(k) - 4*u(k). Determine w, given that i(w) = 0.
-1, -1/4
Let y = 4738/63 + -514/7. Factor -10/9*r**2 + 8/9 + y*r.
-2*(r - 2)*(5*r + 2)/9
Let s(u) be the first derivative of -u**4/78 + u**2/13 + 2*u - 2. Let b(m) be the first derivative of s(m). Factor b(p).
-2*(p - 1)*(p + 1)/13
Let a(l) = l**3 + 15*l**2 + 15*l + 11. Let g be a(-14). Let v be 0 + g + (-48)/(-15). Let -v*c**2 - 1/5 + 2/5*c = 0. Calculate c.
1
Let q(h) = 2*h + 15. Let l be q(-6). Let k(t) be the second derivative of t + 0 - 1/70*t**5 - 5/21*t**l + 2/7*t**2 + 2/21*t**4. Suppose k(u) = 0. Calculate u.
1, 2
Let d = 29 - 15. Suppose d = 3*z - 5*f, 7*z - 2*z + f - 14 = 0. What is l in -l - l + l**3 + l**z = 0?
-1, 0, 1
Let l = 2 + 2. Suppose -5*m = -14 + l. Suppose 0*z**4 + z**3 + 2*z**4 + 2*z**m + 3*z**3 = 0. What is z?
-1, 0
Let j(m) be the second derivative of m**7/8820 + m**6/1260 - m**4/12 - m. Let s(z) be the third derivative of j(z). Suppose s(v) = 0. What is v?
-2, 0
Let b = 7 + -3. Factor -5*j**4 + j**4 + 6*j - 6*j**3 + j**b + 3.
-3*(j - 1)*(j + 1)**3
Let g(y) be the second derivative of -y**9/15120 + y**8/6720 + y**4/4 - 2*y. Let i(w) be the third derivative of g(w). Factor i(z).
-z**3*(z - 1)
Let d = 5 + -4. Solve -y - 3*y**3 + 6*y**3 - y**2 + d - 2*y**3 = 0 for y.
-1, 1
Let y(g) = -6 + 1 - 2 + g**2 + 3*g. Let j be y(-5). Factor -1 - j*p**2 + 2*p - p - p**3 - 4*p.
-(p + 1)**3
Suppose -18*v = -10*v - 24. Determine t, given that 3/4*t + 3/2*t**v + 0 - 9/4*t**2 = 0.
0, 1/2, 1
Let j(a) be the first derivative of -2/3*a**3 - 2*a**2 - 2*a - 3. Factor j(s).
-2*(s + 1)**2
Suppose 0 = 4*z - 2*z. Suppose -3*j - c + 17 = z, -j + 2*c + 2*c = -23. Factor 0*s - j + 7 + 2*s + 2*s**2.
2*s*(s + 1)
Suppose s - 4*s = -6. Let b be 8/(-6)*(-3)/s. Suppose -4*a**2 + 0*a**2 + 0*a**2 + 2*a**b = 0. What is a?
0
Let q(t) = -t**3 + 10*t**2 - 8*t - 7. Let h be q(9). Factor -2*v**h + 5*v**2 - 2*v**2 + 0*v**2 + v.
v*(v + 1)
Suppose 0 = -4*j + 5 + 3. What is n in 4*n - 5*n**2 + 0*n**3 - n - n**3 + 3*n**j = 0?
-3, 0, 1
Let m be (-3)/21 - 4/(-28). Let k(h) be the third derivative of 0 + 1/48*h**4 - 1/24*h**3 - 1/240*h**5 - h**2 + m*h. Factor k(z).
-(z - 1)**2/4
Suppose 8/7*l**3 - 2/7 + 6/7*l**2 - 4/7*l**4 - 5/7*l - 3/7*l**5 = 0. Calculate l.
-2, -1, -1/3, 1
Let o(q) be the first derivative of 0*q**3 + 0*q**4 + q**2 - 1/735*q**7 + 0*q + 1 + 1/420*q**6 + 0*q**5. Let g(n) be the second derivative of o(n). Factor g(c).
-2*c**3*(c - 1)/7
Let a(n) = 5*n**2 - n + 1. Let r be a(1). Factor r*q**2 - 2*q**2 + 0*q**2 - q - 8*q.
3*q*(q - 3)
Let y(b) = b**2 + b + 5. Let o be (-1)/(-4)*-2*0. Let l be y(o). Let 1/3*m**l - m - m**4 + 2/3*m**3 + 1/3 + 2/3*m**2 = 0. What is m?
-1, 1
What is x in 1/4*x**2 + 0*x + 0 = 0?
0
Let b be (5/(-10))/(-3*1/4). Solve 8/3*s**2 - b*s**5 + 0 - 2*s**4 + 0*s + 0*s**3 = 0.
-2, 0, 1
Let r be (-4 + 90/25)/(8/(-10)). Factor -1/2 + c - r*c**2.
-(c - 1)**2/2
Let r = 1168 - 8175/7. Determine p so that -3/7*p**3 - 1/7*p**2 + 2/7 - r*p**4 + 3/7*p = 0.
-2, -1, 1
Let v(z) = -4*z**2 + 4*z - 2. Let g(y) = 5*y**2 - 3*y + 1. Let c(j) = 4*g(j) + 6*v(j). Solve c(s) = 0.
1, 2
Suppose -d = d - r, -2*d = -5*r. Suppose 0 = 4*g, 4*c = -5*g + 15 - 3. Solve 0 - 2*h**c + d = 0 for h.
0
Let n be 4/16 - 2/8. Let w(m) be the second derivative of 0*m**2 + n - 1/24*m**3 + 1/24*m**4 + 2*m - 1/80*m**5. Factor w(c).
-c*(c - 1)**2/4
Let c = -158 - -158. Let z(g) be the third derivative of 0*g**4 + 0*g + c*g**3 + 0 + 1/270*g**5 + 1/945*g**7 - 1/270*g**6 + 3*g**2. Factor z(l).
2*l**2*(l - 1)**2/9
Let d be ((-4)/(-12))/(66/108). Factor 2/11*g**2 - d*g**3 + 6/11*g**4 + 0*g - 2/11*g**5 + 0.
-2*g**2*(g - 1)**3/11
Let v(t) be the second derivative of -2*t**6/5 + t**5 + 2*t**4/3 - 13*t. Factor v(k).
-4*k**2*(k - 2)*(3*k + 1)
Let z be (-300)/(-165) - (-4)/22. Factor 6/5 - 3/5*t**z - 3/5*t.
-3*(t - 1)*(t + 2)/5
Let l(f) = -5*f**2 + 25*f - 15. Let o(c) = 3*c**2 - 12*c + 7. Let x(m) = 2*l(m) + 5*o(m). Suppose x(z) = 0. Calculate z.
1
Let h = -197 + 199. Factor 2*s - 2*s**h - 2/3 + 2/3*s**3.
2*(s - 1)**3/3
Suppose 2*p + 0*z + z = -20, -p - 5*z - 19 = 0. Let y be ((-2)/6)/(1/p). Factor -2*f**y + 2*f**2 + f**2 - 5*f**2.
-2*f**2*(f + 1)
Factor -7*b**2 - b**2 + 2*b**3 + 2*b**3.
4*b**2*(b - 2)
Let j(y) be the second derivative of 1/42*y**4 - 2/21*y**3 + 0 + 1/7*y**2 - y. Find r, given that j(r) = 0.
1
Solve -6*o**2 + 3*o + 0*o + 3*o**2 = 0 for o.
0, 1
Let w(n) be the first derivative of -n**8/5040 - n**7/630 - n**6/180 - n**5/90 - n**4/72 - n**3 - 1. Let t(p) be the third derivative of w(p). Factor t(f).
-(f + 1)**4/3
Let w(f) be the second derivative of -7*f**5/50 - f**4 - 8*f**3/15 + 15*f. Suppose w(t) = 0. Calculate t.
-4, -2/7, 0
Let c(o) be the third derivative of o**4/2 + o**3/3 - 4*o**2. Let j be c(4). What is v in -j*v + 50*v - 3*v**3 + 6*v**2 = 0?
0, 2
Let a(n) = 192*n**3 - 82*n**2 - 70*n + 2. Let h(y) = -64*y**3 + 27*y**2 + 23*y - 1. Let c(m) = 5*a(m) + 14*h(m). Factor c(f).
4*(f - 1)*(4*f + 1)**2
Let f(u) = 2*u + 9. Let a be f(-3). Let g(s) be the first derivative of -2/5*s**2 - 1/5*s + 1/15*s**a + 1/5*s**4 + 2. Factor g(j).
(j - 1)*(j + 1)*(4*j + 1)/5
Factor 9/8*s + 3/8*s**3 + 0 + 3/2*s**2.
3*s*(s + 1)*(s + 3)/8
Find d, given that -12*d**4 + 302 + 9*d - 3*d**5 - 302 + 12*d**2 - 6*d**3 = 0.
-3, -1, 0, 1
Suppose 0 = -q + 2 + 1. Let d(x) be the second derivative of -x**2 + 1/12*x**4 - 3*x + 0 - 1/6*x**q. Factor d(m).
(m - 2)*(m + 1)
Let l(r) be the third derivative of r**8/112 + 2*r**7/35 + r**6/10 - 7*r**2. Factor l(n).
3*n**3*(n + 2)**2
Suppose -v = 2*q, -4*v - 5*q + 1 = -2. Suppose -4*p + 5*b + 31 = 0, p - 4 = v*b + 6. Factor c**2 + p*c + c**4 - 4*c + 0*c**4 - 2*c**3.
c**2*(c - 1)**2
Let y(s) be the second derivative of -s**7/6300 - s**6/900 - s**5/300 + s**4/4 + 2*s. Let a(k) be the third derivative of y(k). Factor a(i).
-2*(i + 1)**2/5
Let m(i) be the third derivative of i**5/20 + i**4/4 + i**3/2 + 4*i**2. Suppose m(s) = 0. Calculate s.
-1
Factor 4 + 4 - 20*a + 12*a**2 + 4*a**3 - 9*a**4 - 5*a**4 + 10*a**4.
-4*(a - 1)**3*(a + 2)
Let h(u) = u - 9. Let s be h(-9). Let b be s/(-3)*2/18. Factor -b*t**2 - 2/3*t + 2/3 + 2/3*t**3.
2*(t - 1)**2*(t + 1)/3
Let q(r) = r**3 + r**2 + 4. Let t be q(0). Let v be (-18)/t*(-8)/12. What is j in -2*j + 1 - 3*j**4 + 2*j**2 + 2*j**3 - j + j**5 + 0*j**v = 0?
-1, 1
Let s(t) be the second derivative of 0*t**6 + 0*t**4 + t**2 + 1/60*t**5 - 1/420*t**7 + 0 - 1/12*t**3 + t. Let w(l) be the first derivative of s(l). Factor w(h).
-(h - 1)**2*(h + 1)**2/2
Let v = 427 + -34159/80. Let z(f) be the second derivative of 0*f**2 + 1/24*f**4 + 0 + v*f**5 + 2*f + 1/24*f**3. Find k, given that z(k) = 0.
-1, 0
Factor -2/11*p**3 - 2/11*p**2 + 4/11*p + 0.
-2*p*(p - 1)*(p + 2)/11
Factor 0*a**2 + 1/4*a**3 + 0 - 1/4*a.
a*(a - 1)*(a + 1)/4
What is u in 0 - 20/3*u**5 + 0*u - 112/3*u**3 + 