**3/27 - 13*w + 2. Find l, given that t(l) = 0.
-2, -1, 0, 2
Let n(c) be the first derivative of 1/3*c**4 - 2*c**2 + 0*c**3 - 7 + 8/3*c. Factor n(v).
4*(v - 1)**2*(v + 2)/3
Suppose -13 = -4*p + 5*u, p = -2*p - 2*u + 4. Let y(w) be the second derivative of 1/3*w**3 - 2*w**2 - p*w + 1/2*w**4 + 0. Factor y(o).
2*(o + 1)*(3*o - 2)
Let z(k) = -k**3 - 3*k**2 + 2*k - 5. Let w be z(-4). Suppose -1 + 0 + 0 + l + l**2 - l**w = 0. Calculate l.
-1, 1
Let g(w) = w - 1. Let a be g(3). Find y such that 5*y**2 - 3*y**2 - y**a = 0.
0
Let t(h) = 12*h**3 - 4. Let v(u) = -u**4 - 35*u**3 + 11. Let i(m) = 11*t(m) + 4*v(m). Determine k so that i(k) = 0.
-2, 0
Let y(z) be the second derivative of 0 + 0*z**3 + 1/30*z**6 - z + 0*z**2 + 0*z**5 - 1/12*z**4. Solve y(k) = 0.
-1, 0, 1
Factor -2*y**2 + 4*y**3 + 4 - 4*y - y**2 - 3*y**4 + 2*y**4.
-(y - 2)**2*(y - 1)*(y + 1)
Factor -3*r**2 - 3*r**3 + 8*r - r - 4*r + 3.
-3*(r - 1)*(r + 1)**2
Suppose 1 - 7 = -2*c. Let 6*h**3 - 3*h**2 - 5*h**c + 3*h - h = 0. Calculate h.
0, 1, 2
Let f(s) be the third derivative of 1/120*s**6 - 3*s**2 + 0 + 0*s**4 + 1/120*s**5 + 0*s**3 + 0*s + 1/420*s**7. Factor f(j).
j**2*(j + 1)**2/2
Let s be ((-2)/4)/((-1)/22). Suppose -s*p = -8*p - 15. Factor 0*b**2 + 0*b + 7/4*b**4 - 1/2*b**3 + 0 - 5/4*b**p.
-b**3*(b - 1)*(5*b - 2)/4
Let w = 449 + -447. Find z such that -2/3*z + 1/6*z**w + 2/3 = 0.
2
Let b(q) be the second derivative of -q**5/15 + q**4/9 + 4*q**3/9 + 8*q. Let b(a) = 0. What is a?
-1, 0, 2
Let d(l) be the third derivative of -l**5/15 + l**4/3 + 16*l**3/3 - 3*l**2 - 13. Factor d(o).
-4*(o - 4)*(o + 2)
Solve 0*r - 3/2*r**2 + 0 - 3/2*r**3 = 0 for r.
-1, 0
Let i(l) be the second derivative of -1/2*l**3 - 5*l + 3/20*l**5 + 0 + 3/2*l**2 - 1/4*l**4. Factor i(y).
3*(y - 1)**2*(y + 1)
Let p = -42 + 46. Let d(z) be the second derivative of -1/25*z**5 + 3*z + 0*z**2 - 1/75*z**6 + 0*z**3 - 1/30*z**p + 0. Find v, given that d(v) = 0.
-1, 0
Let j(n) = n**2 + 8*n + 7. Let b be j(-7). Find q such that 1/4*q**3 + b*q - 1/4*q**2 + 0 = 0.
0, 1
Let z(x) be the first derivative of -5*x**4/4 + 5*x**2/2 + 5. Solve z(o) = 0 for o.
-1, 0, 1
Let b be ((-2)/(-4))/(6/12). Let m be 25/5 + b + -2. Find c, given that 5 - 2*c - 2*c**5 - 4 - 3 + m*c**3 - 4*c**2 + 4 + 2*c**4 = 0.
-1, 1
Let v(i) be the first derivative of 2*i**3 - i**4 + 2 + 2*i**3 - 4*i**2 + 1 + 0*i**4. Suppose v(k) = 0. Calculate k.
0, 1, 2
Let p(b) be the second derivative of -1/90*b**4 + 0 + 6*b - 1/150*b**5 + 1/45*b**3 + 1/15*b**2. Factor p(h).
-2*(h - 1)*(h + 1)**2/15
Let y(c) = c**3 + 4*c**2 - 3*c - 14. Let z be y(-3). Factor 2/5*o**3 + 0 - 2/5*o**2 - 2/5*o + 2/5*o**z.
2*o*(o - 1)*(o + 1)**2/5
Let c = 141/5 + -28. Factor 1/5*i**2 - 2/5*i**3 + 0 + 0*i + c*i**4.
i**2*(i - 1)**2/5
Let h be 1/((-2)/(-6) + 0). Factor -4*v**5 - 3*v - 4*v**2 + 6*v**3 - 2*v**2 + h*v**5 + 3*v**4 + 3 - 2*v**5.
-3*(v - 1)**3*(v + 1)**2
Suppose d + z - 2*z = 3, -5*d + 17 = -3*z. Suppose 3 + 5 = 4*m + 4*a, d*m - 5*a = 8. Determine i, given that 0 + 1/3*i**m + 4/3*i**5 + 0*i**4 - i**3 + 0*i = 0.
-1, 0, 1/2
Suppose 4*p - 5*i = 56, 5*p - 20 = -2*i + 17. Factor -p*a**2 - 2*a**3 - a**3 + 3*a**2.
-3*a**2*(a + 2)
Let q be ((-6 - 2)/(-2))/2. Factor 2*p**2 + 3*p**3 + 1 - p - p**q - 2*p**3 - 2*p**2.
(p - 1)**2*(p + 1)
What is l in 1/6*l**5 + 0 + 1/3*l**3 + 0*l + 0*l**2 - 1/2*l**4 = 0?
0, 1, 2
Let j(x) = x + 5*x**2 - 4*x**2 - 2*x. Let t(g) = 5*g**3 + 17*g**2 - 18*g - 5*g**3 - 2*g**2 - 3*g**3. Let a(d) = -18*j(d) + t(d). Factor a(p).
-3*p**2*(p + 1)
Let t(j) = -j**2 + 23*j + 292. Let w be t(-9). Determine v so that 2/5*v + 1/5*v**w + 0*v**3 - 3/5*v**2 + 0 = 0.
-2, 0, 1
Let d(z) be the second derivative of z**5/240 - z**4/32 + z**3/12 - z**2/2 - 3*z. Let y(c) be the first derivative of d(c). Find s, given that y(s) = 0.
1, 2
Let s = -344/3 - -116. Let r(a) be the third derivative of 1/30*a**5 + 0*a + 0 + a**2 + 1/3*a**4 + s*a**3. Let r(f) = 0. Calculate f.
-2
Let d(v) be the first derivative of v**5/120 - v**4/8 + 3*v**3/4 + 3*v**2 - 4. Let h(b) be the second derivative of d(b). Let h(z) = 0. Calculate z.
3
Solve 25 - 5/2*d**2 - 45/2*d = 0 for d.
-10, 1
Let x(j) be the second derivative of 1/2*j**2 + j + 1/60*j**5 + 0 + 0*j**3 + 0*j**4. Let o(w) be the first derivative of x(w). Factor o(t).
t**2
Let y(w) be the first derivative of -5*w**6/12 + 4*w**5/5 - w**4/8 - w**3/3 - 3. Determine l so that y(l) = 0.
-2/5, 0, 1
Let k(o) = 6*o**2 - o - 1. Let l be k(-1). Suppose 2*i + 0*i - l = 0. Find p, given that -4*p + i*p - p - 2*p**2 = 0.
-1, 0
Let a = 108 + -106. Suppose 0*w - 1/2*w**4 - 1/2*w**a + 0 - w**3 = 0. Calculate w.
-1, 0
Factor 16/15*o**3 + 4/15*o**4 - 32/15*o**2 - 2/15*o**5 + 64/15 - 32/15*o.
-2*(o - 2)**3*(o + 2)**2/15
Let b = 653/2 + -326. Let f be ((-2)/(-4))/1 + 0. Factor b + f*w**2 + w.
(w + 1)**2/2
Factor -8/5 - 16/5*a - 2*a**2 - 2/5*a**3.
-2*(a + 1)*(a + 2)**2/5
Let l(g) = -10*g**4 + 27*g**3 - g**2 - 6*g + 2. Let p(s) = s**3 - s**2 + s + 1. Let h(q) = 5*l(q) - 30*p(q). Solve h(b) = 0 for b.
-1/2, -2/5, 1, 2
Suppose 3*y + 21 = y - 3*s, -5*y - 5*s = 50. Let k be 6/1 + y + 7. What is b in 21/2*b**k + b**2 + 0 + 13/2*b**3 + 0*b = 0?
-1/3, -2/7, 0
Determine h so that -8/7*h + 0 - 4/7*h**2 + 4/7*h**3 = 0.
-1, 0, 2
Let q be ((-2)/(-15))/1 - 8/60. Factor 1/4*w**2 + 3/8*w**3 + 0*w**4 + q*w + 0 - 1/8*w**5.
-w**2*(w - 2)*(w + 1)**2/8
Let x(i) = i**3 + i**2 - 1. Let c(y) be the first derivative of 9*y**5/5 + y**4/4 - 17*y**3/3 - 7*y**2/2 + 8*y - 1. Let r(p) = -c(p) - 6*x(p). Factor r(k).
-(k - 1)*(k + 1)**2*(9*k - 2)
Let g(s) be the third derivative of 2*s**2 + 0 + 1/20*s**5 - 1/8*s**4 + 0*s + 0*s**3. Let g(t) = 0. What is t?
0, 1
Let o = 41 + -327/8. Let l(u) be the third derivative of -u**2 + 0 + 0*u - 1/3*u**3 + o*u**4 + 1/12*u**5. Determine w, given that l(w) = 0.
-1, 2/5
Suppose -4*u = -2*j + 6, 9*u = -5*j + 7*u + 15. Factor -4/3*m - 2/3*m**j - 5/3*m**2 - 1/3.
-(m + 1)**2*(2*m + 1)/3
Let t(h) = h - 2*h**2 + 0 + 6 - 2. Let j(i) = -14*i - 11*i + 4 - i**2 + 27*i. Let l(m) = -6*j(m) + 4*t(m). Find q such that l(q) = 0.
-2
Let r(y) be the third derivative of 1/30*y**6 + 3/10*y**5 + 0 + 0*y + 11/24*y**4 - 4/105*y**7 + 1/3*y**3 - 2*y**2. Let r(l) = 0. Calculate l.
-1/2, 2
Let u = -15 - -25. Suppose c + u = -4*c. Let f(a) = -a**4 - 2*a**3 - 2*a**2 + 5*a. Let y(g) = -2*g**3 - 2*g**2 + 4*g. Let v(z) = c*f(z) + 3*y(z). Factor v(p).
2*p*(p - 1)**2*(p + 1)
Let a(y) be the third derivative of -y**8/448 + 7*y**6/160 + y**5/40 - 3*y**4/8 - y**3 - 39*y**2. Let a(m) = 0. Calculate m.
-2, -1, 2
Let n(y) be the first derivative of y**3/24 - y**2/16 - y/4 + 29. What is f in n(f) = 0?
-1, 2
Find x such that 2/9 + x**2 + 7/9*x + 5/9*x**3 + 1/9*x**4 = 0.
-2, -1
Let v = -81/14 - -785/126. Factor -v + 2/3*h - 2/9*h**2.
-2*(h - 2)*(h - 1)/9
Let r(q) be the second derivative of -2*q**7/525 - q**6/150 - q**5/200 - q**4/6 - 6*q. Let f(t) be the third derivative of r(t). Factor f(l).
-3*(4*l + 1)**2/5
Factor -1/6*a**4 + 0*a - 1/3*a**2 + 0 + 1/2*a**3.
-a**2*(a - 2)*(a - 1)/6
Let u(g) = -280*g + 1960. Let j(q) = -q**2 - 140*q + 980. Let k(l) = -5*j(l) + 3*u(l). Solve k(o) = 0.
14
Suppose -t = t. Let v = 95/357 - -1/51. Find z such that -2/7*z + 18/7*z**3 - 22/7*z**4 + 8/7*z**5 + t - v*z**2 = 0.
-1/4, 0, 1
Let h(m) be the second derivative of -m**7/2520 + m**6/720 + m**4/6 + m. Let v(w) be the third derivative of h(w). Suppose v(g) = 0. Calculate g.
0, 1
Factor -101*d + 4*d**3 + 101*d - 8*d**2.
4*d**2*(d - 2)
Let z(p) = -2 + 1 - 3*p + 0 + 4*p + p**2. Let j be z(-3). Suppose -106*o**4 + 63*o**3 + 10*o + 33*o**4 - 47*o**4 + 45*o**2 - 4*o - 144*o**j = 0. Calculate o.
-1, -1/4, 0, 2/3
Let g(i) be the first derivative of -2 + 1/2*i - 1/2*i**2 + 1/6*i**3. Factor g(w).
(w - 1)**2/2
Let u(m) = -m**3 - 5*m**2 + 4. Let o be u(-5). Let t + o*t**2 - 3*t**2 - 2*t**2 = 0. What is t?
0, 1
Let u be 2/8 + 3/6. Suppose -o = -5*o. Find y, given that o*y - 9/4*y**3 - 3/2*y**2 - u*y**4 + 0 = 0.
-2, -1, 0
Let x(n) be the first derivative of -10*n**4/7 + 26*n**3/21 - 2*n**2/7 + 3. Factor x(h).
-2*h*(4*h - 1)*(5*h - 2)/7
Factor 1/4*x**2 + 1 - 5/4*x.
(x - 4)*(x - 1)/4
Let z(m) = 4*m + 15. Let x be z(-5). Let k be (-2)/x + (-90)/(-25). Factor 0*q**3 + 0 - 2/3*q + 4/3*q**k - 4/3*q**2 + 2/3*q**5.
2*q*(q - 1)*(q + 1)**3/3
Let 230*j + 2 - 224*j + 2 + 