3*l**3 - 4*l + 2*l**4 - l**3 - 2*l**n = 0.
-1, 0, 1
Find v, given that -22*v**2 + 57*v**4 - 22*v**2 + 12 + 34*v - 48*v**3 - 25*v**4 + 14*v**5 = 0.
-3, -1, -2/7, 1
Let h(j) be the third derivative of -j**7/1050 - j**6/600 + j**5/60 - j**4/40 + 23*j**2. Factor h(c).
-c*(c - 1)**2*(c + 3)/5
Let d(o) be the first derivative of 0*o**2 + 0*o - 1/30*o**6 + 1/15*o**3 + 4 + 1/20*o**4 - 1/25*o**5. Suppose d(w) = 0. Calculate w.
-1, 0, 1
Let 8/7*q**2 - 20/7*q**3 + 6/7*q**4 + 16/7*q + 0 = 0. What is q?
-2/3, 0, 2
Let i be 6/4 - (-21)/6. Let y(n) = -n**3 + 6*n**2 - 6*n + 7. Let u be y(i). Solve 3*f - 3*f + u*f**4 - 2*f**2 = 0.
-1, 0, 1
Factor -3 - 9/4*f + 3/4*f**2.
3*(f - 4)*(f + 1)/4
Suppose 3*f - 2 = 10. Determine p, given that -36*p + 64*p**2 + 8 + 0*p**5 + 0*p**3 - f*p**5 - 56*p**3 + 24*p**4 + 0*p**2 = 0.
1, 2
Let n(z) be the third derivative of z**10/151200 + z**5/60 + 5*z**2. Let d(c) be the third derivative of n(c). Let d(s) = 0. Calculate s.
0
Solve 27*w**4 + 26*w - 122*w - 24*w**2 + 49*w**3 + 48 + 10*w**3 + 13*w**3 = 0.
-2, 2/3
Determine a, given that 5*a**3 + 8138 + 30*a**2 + 25*a - 8138 = 0.
-5, -1, 0
Let j(h) be the third derivative of h**8/6720 - h**6/720 - 7*h**4/24 - 2*h**2. Let z(m) be the second derivative of j(m). Determine c so that z(c) = 0.
-1, 0, 1
Suppose -2*u + 10 = 2*i - 4*u, 5*i = 4*u + 23. Find m, given that -3*m + 2*m**5 - 2*m**4 + i*m - 4*m - 6*m**3 + 10*m**2 + 0*m**2 = 0.
-2, 0, 1
Factor -18/5*t**3 + 0*t + 81/5*t**2 + 1/5*t**4 + 0.
t**2*(t - 9)**2/5
Let o(q) = q**3 - 3*q**2 + 2*q. Let j be o(2). Suppose 1/5*h**3 + 1/5*h + j + 2/5*h**2 = 0. What is h?
-1, 0
Let a(y) = -6*y**2 - 10*y - 4. Let s(f) = 1 + 2*f + 6*f - 2*f + 2*f**2 - 3*f. Let m(n) = -3*a(n) - 8*s(n). Let m(h) = 0. Calculate h.
-2, -1
Solve -4*h**3 - 8/7*h**2 + 4*h + 8/7 = 0.
-1, -2/7, 1
Solve -2/11*r**2 - 1/11*r**3 - 4/11 + 7/11*r = 0 for r.
-4, 1
Let h(l) be the third derivative of l**6/120 + l**5/30 + l**4/24 + 6*l**2. Factor h(k).
k*(k + 1)**2
Suppose k - 33 = -2*k. Let b be (-1)/(3/18*-1). Suppose 4*j**3 + 3*j**5 + 1 + k*j**4 - 3*j**4 - 3 - b*j**2 - 7*j = 0. What is j?
-1, -2/3, 1
Suppose -q + 1 = k - 1, 0 = 4*k - 4*q - 8. Let d be (-1)/4*7 + k. Factor 0*f - d + 1/2*f**2 - 1/4*f**4 + 0*f**3.
-(f - 1)**2*(f + 1)**2/4
Factor -1/5*p**3 + 1/5 + 1/5*p - 1/5*p**2.
-(p - 1)*(p + 1)**2/5
Let t(f) be the second derivative of -11*f**4/60 + f**3/15 + 4*f. Solve t(z) = 0.
0, 2/11
Let h be 1 + 15/(-24) - (-1)/(-8). Factor 0*u - h*u**2 + 1/4.
-(u - 1)*(u + 1)/4
Let d(p) be the second derivative of 1/4*p**4 + p + 0 + 27/2*p**2 + 3*p**3. Let d(r) = 0. Calculate r.
-3
Let a(z) be the first derivative of -z**5/10 + z**4/8 + 7. Factor a(c).
-c**3*(c - 1)/2
Let d(f) be the third derivative of -3*f**2 + 0 + 1/180*f**5 + 0*f - 1/24*f**4 + 1/9*f**3. Suppose d(n) = 0. Calculate n.
1, 2
Let g = -227 - -227. Let 0*a**2 + g*a - 1/2*a**4 + 0 + 1/2*a**3 = 0. Calculate a.
0, 1
Let y(g) = -11*g**2 + 9*g + 8. Let d(f) = -7*f - 5. Let o be d(-7). Let z = o + -31. Let k(r) = 6*r**2 - 4*r - 4. Let j(t) = z*k(t) + 6*y(t). Factor j(n).
2*(2*n - 1)*(3*n + 2)
Suppose 13*n + 14*n = 28*n. Determine c, given that 4/5*c**2 + n*c - 2/5*c**5 + 0*c**4 + 0 + 6/5*c**3 = 0.
-1, 0, 2
Let a(r) be the first derivative of 20*r**6/3 - 26*r**5/5 + r**4 - 14. Factor a(j).
2*j**3*(4*j - 1)*(5*j - 2)
Let v(p) be the second derivative of 1/14*p**4 - 1/105*p**6 - 8*p + 2/21*p**3 + 0*p**2 + 0*p**5 + 0. Factor v(q).
-2*q*(q - 2)*(q + 1)**2/7
Let t(f) be the first derivative of 1/2*f + 0*f**2 - 1/6*f**3 + 2. Factor t(o).
-(o - 1)*(o + 1)/2
Factor -1/7*w**4 - 1/7*w**3 + 0*w**2 + 0 + 0*w.
-w**3*(w + 1)/7
Let f(z) be the second derivative of z**6/75 + z**5/50 - 10*z. Factor f(h).
2*h**3*(h + 1)/5
Suppose 5*a = 6*a + 2*a. Factor a*s**4 + 0 + 2/5*s**5 - 2/5*s**3 + 0*s**2 + 0*s.
2*s**3*(s - 1)*(s + 1)/5
Suppose 10*n**2 - 19*n + 40*n**2 + 14*n**2 - 41*n - 4*n**3 = 0. Calculate n.
0, 1, 15
Let r(q) be the third derivative of -2*q**2 + 0*q + 3/80*q**6 + 0*q**3 - 1/140*q**7 + 0 + 0*q**5 - 1/4*q**4. Find n such that r(n) = 0.
-1, 0, 2
Let d(a) be the first derivative of -8/7*a**2 + 10/21*a**3 - 2 + 8/7*a - 1/14*a**4. Let d(p) = 0. Calculate p.
1, 2
Let f be (-5 + (-159)/(-35))*5/(-2). Factor 8/7*n - f - 2/7*n**2.
-2*(n - 2)**2/7
Let s be -1 + 42/18 - 2/(-3). Solve 5/2*t**2 - 4*t - 1/2*t**3 + s = 0.
1, 2
Determine h so that 15/4*h + 3/4*h**2 + 3 = 0.
-4, -1
Let t(x) be the third derivative of x**9/22680 + x**8/10080 - x**7/1890 + x**4/24 - 5*x**2. Let q(h) be the second derivative of t(h). Factor q(i).
2*i**2*(i - 1)*(i + 2)/3
Let n(q) be the second derivative of -q**9/10584 + q**8/1960 - q**7/980 + q**6/1260 - q**3/2 - 2*q. Let j(s) be the second derivative of n(s). Factor j(g).
-2*g**2*(g - 1)**3/7
Let i(f) be the second derivative of 1/45*f**5 - 1/9*f**2 - 1/189*f**7 - 4*f + 0 - 1/135*f**6 + 1/27*f**4 - 1/27*f**3. Factor i(y).
-2*(y - 1)**2*(y + 1)**3/9
Suppose 5*q**3 - 5*q**3 - 3*q**3 + 8*q**2 - 2*q**2 = 0. Calculate q.
0, 2
Suppose 0 = -5*m - 4*y - 261, 3*m + 0*y + 158 = -y. Let n = -211/4 - m. Factor n*j**3 - 1/4*j + 1/2*j**2 - 1/2.
(j - 1)*(j + 1)*(j + 2)/4
Let c(m) = -3*m**2 - 16*m - 16. Let w(j) = -6*j**2 - 31*j - 31. Let l be (-66)/(-15) + 2/(-5). Let d(h) = l*w(h) - 7*c(h). Determine z, given that d(z) = 0.
-2
Let f be (8 - 2)*(-2)/(-4). Let q = 49 + -45. Factor 0*z + 0*z + z**4 + z**f + 0*z**q.
z**3*(z + 1)
Let w(l) = 3*l**4 - 3*l**3 - 6*l**2 + 18*l. Let m(y) = -6*y**4 + 7*y**3 + 11*y**2 - 35*y. Let a(u) = 6*m(u) + 11*w(u). Factor a(j).
-3*j*(j - 2)**2*(j + 1)
Suppose -28 + 7 = -3*l. Solve 7*x + l*x + 2 + x + 34*x**2 + 21*x**3 = 0.
-1, -1/3, -2/7
Let j be (-72)/(-2)*(-2)/4. Let b be (j/63)/((-6)/98). Factor 6*d**2 + b*d - 4/3.
2*(d + 1)*(9*d - 2)/3
Let l be (-9)/(189/14)*(-18)/15. Factor l*q**2 - 2/5*q**3 - 2/5*q + 0.
-2*q*(q - 1)**2/5
Factor 0*u - 4 + 0*u - 6*u + 2*u - u**2.
-(u + 2)**2
Factor 0 + 0*h + 8/9*h**3 + 2/9*h**4 + 2/3*h**2.
2*h**2*(h + 1)*(h + 3)/9
Let b = 941/12 + -311/4. What is l in -2/3*l**4 + 2*l**2 + 4/3 - 10/3*l + b*l**3 = 0?
-2, 1
Let o(y) be the third derivative of 0*y + 1/6*y**3 + 1/12*y**4 + 2*y**2 - 1/210*y**7 + 0 + 0*y**5 - 1/60*y**6. Determine f, given that o(f) = 0.
-1, 1
Let k(v) = 2*v**3 - 3*v**2 + 2*v - 1. Suppose -2 - 8 = -5*f. Let a be k(f). Factor a + 5*w + w - 3 + 2*w**2.
2*(w + 1)*(w + 2)
Let b(z) be the third derivative of z**9/68040 + z**8/15120 + z**7/11340 + z**4/24 - 2*z**2. Let v(g) be the second derivative of b(g). Factor v(q).
2*q**2*(q + 1)**2/9
Let f(a) be the second derivative of -a**4/72 - a**3/9 - a**2/4 - 13*a. Determine k, given that f(k) = 0.
-3, -1
Let l(i) be the third derivative of -i**7/1470 + i**6/840 + i**5/60 - i**4/168 - i**3/7 + 18*i**2 + 2. Determine c so that l(c) = 0.
-2, -1, 1, 3
Let x(y) be the second derivative of y**6/120 - y**5/40 + y**4/48 - y. Factor x(h).
h**2*(h - 1)**2/4
Find l such that 8*l + 22*l**3 + 30*l**2 - 15/2*l**4 + 0 = 0.
-2/3, -2/5, 0, 4
Suppose -3/7*s**3 + 0*s**2 + 0*s + 0 = 0. Calculate s.
0
Factor 4/3 + 4/3*c**2 - 8/3*c**4 + 2/3*c**5 + 8/3*c**3 - 10/3*c.
2*(c - 2)*(c - 1)**3*(c + 1)/3
Determine c, given that 6/11*c - 14/11*c**3 - 2/11*c**4 - 26/11*c**2 + 36/11 = 0.
-3, -2, 1
Let s(w) be the third derivative of w**5/510 - w**4/102 - 9*w**2. Factor s(i).
2*i*(i - 2)/17
Let s(m) be the third derivative of 5*m**7/42 + 23*m**6/24 + 5*m**5/2 + 5*m**4/6 - 20*m**3/3 + 2*m**2 + 5*m. Determine c, given that s(c) = 0.
-2, -1, 2/5
Let v(s) be the third derivative of -s**5/36 + 5*s**4/24 + 25*s**3/9 + 41*s**2. Find d, given that v(d) = 0.
-2, 5
Suppose -6*u + 2*u - 5*p = -27, 2*u + 4*p = 18. Factor 0 + 1/2*h**u + h + h**4 - 5/2*h**2.
h*(h - 1)*(h + 2)*(2*h - 1)/2
Let p(f) = f**2 - 6*f. Let o be p(6). Suppose -4*t = -t. Solve 6/11*i**4 - 2/11*i**2 + t*i + o + 4/11*i**3 = 0 for i.
-1, 0, 1/3
Factor -20*h**3 + 8*h**2 + 23*h**3 - 11*h**2.
3*h**2*(h - 1)
Suppose a + 4*v + 7 = 17, 0 = -2*a + 5*v - 6. Let z be (-1)/(2/(-8)*a). Factor 1/2*t**z - 1/2*t + 0.
t*(t - 1)/2
Let y(z) = 12*z**3 - 8*z**2 + 18*z. Let d(s) = -s**3 - s. Let h(u) = 20*d(u) + 2*y(u). Factor h(a).
4*a*(a - 2)**2
Let x(v) be the second derivative of -3*v**5/4 - 25*v**4/6 - 15*v**3/2 - 5*v**2 + 11*v. Solve x(i) = 0.
-2, -1, -1/3
Let j(g) = -g. Let o be j(-2). Let y(b) be the second deriv