 30*l + 8*l**3 + 16 + 24*l - 6*l + 36*l**2 = 0. What is l?
-2, -1/2
Let c(n) = -n**3 - 2*n**2 - 3*n - 2. Let t be c(-2). Let m(l) be the second derivative of 2*l - 2/3*l**3 + 0 - 2*l**2 - 1/12*l**t. Solve m(z) = 0 for z.
-2
Let s(m) be the first derivative of -40/9*m**3 + 4*m**5 - 13/6*m**4 + 0*m - 4/3*m**2 - m**6 + 4. Let s(r) = 0. What is r?
-1/3, 0, 2
Let k(m) be the third derivative of -1/60*m**6 - 1/35*m**7 + 1/6*m**5 - 2*m**2 + 0*m + 1/12*m**4 - 2/3*m**3 + 0. Let k(b) = 0. Calculate b.
-1, 2/3, 1
Find z such that 1/5*z**3 + 1/5*z**2 - 4/5 - 4/5*z = 0.
-2, -1, 2
Let r(p) be the third derivative of 0*p + 2*p**2 + 0 + 0*p**4 + 1/75*p**5 - 2/15*p**3. Factor r(i).
4*(i - 1)*(i + 1)/5
Let p(x) be the first derivative of 2*x**5/65 - x**4/13 - 8*x**3/39 + 2*x**2/13 + 6*x/13 + 19. Solve p(g) = 0.
-1, 1, 3
Factor 2*n - 4*n**2 + 0*n - 2*n - 4*n**3.
-4*n**2*(n + 1)
Factor 2*n**2 - 13*n + 9*n - 6*n**2 - 12*n.
-4*n*(n + 4)
Let b be (-4 + -1)*(-18)/60. Let r(z) be the first derivative of 0*z + 0*z**2 - 2/3*z**6 + 1/3*z**3 + 9/5*z**5 + 2 - b*z**4. Factor r(q).
-q**2*(q - 1)**2*(4*q - 1)
Let g be (2 - (-264)/(-195)) + (-6)/(-39). Determine u, given that -4/5*u - 1/5*u**2 - g = 0.
-2
Let m(q) be the first derivative of 15*q**3/8 - 3*q**2 + 3*q/2 - 18. Factor m(c).
3*(3*c - 2)*(5*c - 2)/8
Determine z so that 0 - 12/11*z - 2/11*z**2 = 0.
-6, 0
Let n(v) = 4*v**3 + 7*v - 3 - 7*v**2 - 2*v**3 - v**3. Let t be n(6). Factor -2*x**t - 2*x + x + 3*x.
-2*x*(x - 1)*(x + 1)
Let r(k) = -k. Let j be r(-3). Let p(d) be the third derivative of 0*d**4 - d**2 + 0*d**j + 0*d + 0 + 1/150*d**5. Find a such that p(a) = 0.
0
Suppose 0*q - 6 = -3*q. Let x be (-168)/(-189) + (4/9)/(-2). Solve -2/3 + x*y + 2/3*y**q - 2/3*y**3 = 0 for y.
-1, 1
Factor 0*j**2 + 2*j - 2/3*j**3 - 4/3.
-2*(j - 1)**2*(j + 2)/3
Let k be (-10)/60 - 4/(-6). Factor 1/4*n - 1/4*n**2 + k.
-(n - 2)*(n + 1)/4
Let 3/7*w**3 + 0 + 9/7*w + 12/7*w**2 = 0. Calculate w.
-3, -1, 0
Let t(d) = d**3 - 2*d**2 - 5*d + 9. Let x be t(3). Let i(z) be the third derivative of 0*z + 3*z**2 + 1/3*z**x + 0 - 1/6*z**4 + 1/30*z**5. Factor i(r).
2*(r - 1)**2
Let a be (-4)/2*(-4)/8. Let x be (-44)/(-55) + 0/a. Let 2*z - x + 6/5*z**2 = 0. Calculate z.
-2, 1/3
Let c = 269/4 + -67. Find x such that -c - 1/2*x**2 - 3/4*x = 0.
-1, -1/2
Suppose -v + 2 = -0*v. Factor l**3 - 10*l - 5*l**3 + v*l**3 - 4 - 8*l**2.
-2*(l + 1)**2*(l + 2)
Let a = 66 + -64. Let c(z) be the first derivative of -1/20*z**5 - 1/8*z**a + 1 + 0*z + 1/16*z**4 + 1/12*z**3. Factor c(s).
-s*(s - 1)**2*(s + 1)/4
Suppose -10 = 6*n - n. Let h be 1/1 - (n - -1). Factor b**5 - 1 - b**3 + 1 + b**4 + 0*b**2 - b**h.
b**2*(b - 1)*(b + 1)**2
Let o(j) = -j**5 - j**3 + j**2 - j. Let x(b) = 1224*b**5 - 12040*b**4 + 28344*b**3 + 7011*b**2 - 4101*b - 1000. Let w(p) = o(p) - x(p). Let w(a) = 0. What is a?
-2/7, 2/5, 5
Solve 1/6*h**4 + h**3 + 4/3*h**2 - 3/2 - h = 0.
-3, -1, 1
Let l(g) be the third derivative of g**5/90 - g**4/2 + 9*g**3 + 24*g**2. Factor l(o).
2*(o - 9)**2/3
Let m be (-180)/(-32) + (-9)/(-24) + -4. Suppose -2/3*j**3 + 0 + m*j**2 - 4/3*j = 0. What is j?
0, 1, 2
Let c(f) be the third derivative of f**8/1008 - 13*f**6/360 - 4*f**5/45 + f**4/6 + 8*f**3/9 - 3*f**2. Solve c(i) = 0 for i.
-2, -1, 1, 4
Let g(o) be the second derivative of 0 + 1/2*o**2 + 1/4*o**4 - 2*o - 1/2*o**3 - 1/20*o**5. Solve g(u) = 0 for u.
1
Suppose -y**4 + 4 + 586*y - 6*y**3 + 3 - 2 - 4*y**2 - 580*y = 0. Calculate y.
-5, -1, 1
Suppose -2*l**4 - 3*l + 12*l**3 - 10*l + 5*l**4 + l - 3*l**2 = 0. Calculate l.
-4, -1, 0, 1
Let t(k) = -2*k. Let b be t(-3). Let i be 7/b - (-2)/(-4). Determine u so that 0*u - 2/3*u**3 + i*u**2 + 0 = 0.
0, 1
Solve 0 + 2/13*n**2 + 0*n + 2/13*n**3 = 0 for n.
-1, 0
Let y(n) = 2*n**2 + 6*n. Let m be y(-3). Let c(w) be the third derivative of 1/240*w**5 + w**2 + 0*w**3 + 0 + 0*w + m*w**4. Factor c(z).
z**2/4
Let g(o) be the first derivative of 1/18*o**6 + 0*o**2 + 0*o - 3 + 0*o**3 - 1/12*o**4 + 0*o**5. Solve g(v) = 0.
-1, 0, 1
Let m(x) = -9*x**3 + 2*x**2. Let u(i) = 8*i**3 - 2*i**2. Let f(n) = -6*m(n) - 7*u(n). Suppose f(h) = 0. Calculate h.
0, 1
Factor 2/3*m**4 + 0*m - 4/3*m**2 + 0*m**3 + 2/3.
2*(m - 1)**2*(m + 1)**2/3
Let y be ((-1)/(-2))/((-6)/(-4)). Let p be (-25)/60 - 6/(-8). Find a such that 0 + p*a**3 + y*a**2 - 1/3*a**4 - 1/3*a = 0.
-1, 0, 1
Suppose 5*v - 12 = 3*v. Let l(z) = z**3 + 1. Let d(s) be the third derivative of -s**6/30 - s**4/12 - s**3 - 3*s**2. Let w(j) = v*l(j) + d(j). Factor w(i).
2*i*(i - 1)*(i + 1)
Let t(g) be the first derivative of -1/4*g**4 - 3 + 0*g**3 + 0*g**2 + 0*g. Factor t(u).
-u**3
Determine g, given that -3/4*g**3 + 3/4*g**2 - 3/4 + 3/4*g = 0.
-1, 1
Let t(w) be the first derivative of 1/9*w**3 - 1/18*w**6 + 0*w**2 + 0*w + 1/5*w**5 - 1/4*w**4 - 1. Solve t(l) = 0 for l.
0, 1
Let 9/4*i**3 - 3/4*i - 3*i**2 + 3/2 = 0. Calculate i.
-2/3, 1
Let r(a) = -2*a**3 - 5*a**2 + 7*a + 3. Let u(s) = -4*s**3 - 11*s**2 + 15*s + 7. Let l(o) = -14*r(o) + 6*u(o). Factor l(w).
4*w*(w - 1)*(w + 2)
Let p(l) be the second derivative of 0*l**2 + 0*l**3 + 3/70*l**5 - 1/28*l**4 - 1/70*l**6 - 3*l + 0. Solve p(g) = 0 for g.
0, 1
Factor -4/3 - 13/3*c**2 + 4*c - 1/3*c**4 + 2*c**3.
-(c - 2)**2*(c - 1)**2/3
Let k = -6011/9 + 669. What is i in -14/9*i + 4/9 + k*i**2 = 0?
2/5, 1
Let j(y) be the first derivative of 0*y**2 - 16/3*y - 1 + 4/3*y**3 - 1/3*y**4. Suppose j(t) = 0. What is t?
-1, 2
Suppose q = 6 - 5. Factor 4*z + 0*z - 4*z + z**2 - q.
(z - 1)*(z + 1)
Let x(s) be the first derivative of -s**5/60 + s**4/8 - s**3/3 + s**2 - 4. Let n(q) be the second derivative of x(q). Factor n(h).
-(h - 2)*(h - 1)
Let k(f) be the third derivative of -f**7/140 - f**6/80 + f**5/10 + f**4/4 - 3*f**2. What is c in k(c) = 0?
-2, -1, 0, 2
Let p(v) be the first derivative of v**8/840 - v**7/210 - v**3 + 6. Let c(t) be the third derivative of p(t). Factor c(a).
2*a**3*(a - 2)
Let o(h) be the first derivative of h**6/135 - 2*h - 5. Let d(l) be the first derivative of o(l). Suppose d(u) = 0. What is u?
0
Let v = 18 - 13. Suppose 4*q - 4*l = -0*l + 28, v*q - 27 = 3*l. Factor -2*s**3 + q*s**2 - 4*s + s**3 + s + 1.
-(s - 1)**3
Let y be 14/1 + 0 + -1. Find j such that -y*j + 16*j + j**3 + 0*j**2 - 3*j**2 - 1 = 0.
1
Let g = -115 + 115. Determine a, given that 2/5*a + g + 2/5*a**2 - 2/5*a**3 - 2/5*a**4 = 0.
-1, 0, 1
Let v(l) = 4*l**4 - 7*l**3 - 6*l**2 + 5*l + 5. Let b(h) = -3*h**4 + 6*h**3 + 5*h**2 - 4*h - 4. Let p(y) = -5*b(y) - 4*v(y). Determine z so that p(z) = 0.
-1, 0
Let x = -17267 + 85537/5. Let m = -159 - x. Factor 2/5*p + m*p**4 - 4/5*p**3 + 0 - 1/5*p**2.
p*(p - 1)**2*(3*p + 2)/5
Let z(v) = v**3 - 8*v**2 + 9*v - 10. Let s be z(7). Let u(p) be the first derivative of 3/4*p**3 - 1 - 3/4*p**2 + 1/4*p - 1/4*p**s. Find r, given that u(r) = 0.
1/4, 1
What is n in -2/3*n**2 + 0 - 1/3*n**3 + 1/2*n - 1/6*n**5 + 2/3*n**4 = 0?
-1, 0, 1, 3
Let s(q) be the third derivative of q**5/20 - q**4/4 + q**3/2 + q**2. Factor s(c).
3*(c - 1)**2
Let d(x) = -4*x**4 - 2*x**3 - x**2 - 3*x + 3. Let i(n) = 5 - 11*n**2 - n + 9*n**2 - 5*n**3 - 2*n**4 - 4*n - 6*n**4. Let v(u) = 5*d(u) - 3*i(u). Factor v(a).
a**2*(a + 1)*(4*a + 1)
Let x be (2/(-8))/((-219)/(-8)). Let s = x - -1324/1095. What is i in 2/5*i + s*i**3 - 8/5*i**2 + 0 = 0?
0, 1/3, 1
Let i(a) be the third derivative of a**7/1960 - a**6/840 - a**5/280 + a**4/56 + 3*a**3/2 - a**2. Let z(u) be the first derivative of i(u). Factor z(f).
3*(f - 1)**2*(f + 1)/7
Suppose -x + 6 = 2*t, -4 = -0*t + 3*t - 5*x. Let 4*r**3 + 21*r - 6 - 21*r**2 - 3*r**3 + 7*r**3 - t*r**3 = 0. What is r?
1/2, 1, 2
Let p(a) be the second derivative of -a**5/120 - a**4/72 - 30*a. Solve p(c) = 0.
-1, 0
Let h(l) be the third derivative of l**7/210 + l**6/15 + l**5/10 - 5*l**4/3 + 25*l**3/6 - 21*l**2 + 1. Factor h(w).
(w - 1)**2*(w + 5)**2
Let w(y) = -y**3 + 10*y**2 + 6*y - 56. Let a be w(10). Find o, given that -2/7*o**2 + 0 - 2/7*o + 2/7*o**a + 2/7*o**3 = 0.
-1, 0, 1
Suppose 3*y + 5 = 20. Let u(p) be the third derivative of -1/60*p**6 + 0*p**3 + 1/30*p**y + 0*p**4 + 0*p + 0 + 2*p**2. Suppose u(n) = 0. What is n?
0, 1
Let y = 261 - 517. Let z be y/336*3/(-4). Factor -z - 2/7*t**2 - 6/7*t.
-2*(t + 1)*(t + 2)/7
Let o(d) = d**3 - 4*d**2 - 1. Let r be o(4). Let c = 3 + r. Suppose c*k**2 - 4*k**3 + k - k + 2*k**4 + 0*k**