 be the first derivative of k(l). Factor n(w).
2*(w - 3)**2/5
Suppose 0 = 2*i + 1 - 5. Solve -v - 2*v + v + 3*v**i + 1 - 2*v**2 = 0 for v.
1
Let 2*z**3 - 3*z + z + 6*z**2 + z - 6 - z = 0. Calculate z.
-3, -1, 1
Let v(w) be the third derivative of -w**8/504 + w**7/315 + w**6/180 - w**5/90 - 6*w**2. Determine g so that v(g) = 0.
-1, 0, 1
Let k = 442 - 1301/3. Let x = -113/15 + k. Factor -x*r**4 + 6/5*r**3 + 0 + 1/5*r + 1/5*r**5 - 4/5*r**2.
r*(r - 1)**4/5
Factor 2 - 6*q - q + 5*q**2 + 3*q**2 - 3*q**2.
(q - 1)*(5*q - 2)
Solve -8/3*l**2 - 4/3*l + 0 - 4/3*l**3 = 0.
-1, 0
Let o be ((-6)/(-7))/3*(-27 + 32). Factor 8/7*d**2 + o*d - 6/7*d**3 - 4/7.
-2*(d - 2)*(d + 1)*(3*d - 1)/7
Let d(v) be the first derivative of -4/3*v**3 + 0*v + 1 - 1/2*v**4 - v**2. Factor d(q).
-2*q*(q + 1)**2
Let u(x) be the second derivative of 0*x**2 + 1/12*x**4 + 4*x + 1/20*x**5 + 0*x**3 + 0. What is v in u(v) = 0?
-1, 0
Suppose 3*v - 5*t - 5 = 1, 2*t + 2 = v. Find m, given that -3/4*m**v + 7/4*m**4 - 4*m**3 - 1 + 4*m = 0.
-1, 2/7, 1, 2
Let v(b) be the second derivative of b**7/28 + 3*b**6/20 - b**4/2 + 26*b. Find x such that v(x) = 0.
-2, 0, 1
Suppose -3*z + 13 = -f, -f - 15 = -4*f. Let v(t) = t**2 + t. Let h(y) = -5*y**2 - 5*y. Let w(x) = z*v(x) + h(x). Find s, given that w(s) = 0.
-1, 0
Find r such that 0*r**3 + 1/5 - 2/5*r**2 + 1/5*r**4 + 0*r = 0.
-1, 1
Let g(o) be the third derivative of 0*o**3 + 1/120*o**6 + 0 + 2*o**2 + 0*o**4 - 1/60*o**5 + 0*o. Suppose g(i) = 0. What is i?
0, 1
Suppose -2*x + 5*l = 2*x, -2*x - l = 0. Solve -4/9*k - 2/9*k**2 + x = 0 for k.
-2, 0
Let z(y) be the first derivative of -y**6/2 + 3*y**4/2 - 3*y**2/2 + 30. Let z(g) = 0. What is g?
-1, 0, 1
Let r be 0 + -3 - (3 + -9). Solve 8*x**2 - 4*x**5 + 7 - r - 12*x**4 - 8*x**3 + 0*x**4 + 12*x = 0.
-1, 1
Let l(a) be the second derivative of -a**6/360 + a**4/24 + 2*a**3/3 + 2*a. Let w(o) be the second derivative of l(o). Factor w(z).
-(z - 1)*(z + 1)
Factor 3/7*h**5 + 12/7*h**2 + 18/7*h**3 + 0 + 3/7*h + 12/7*h**4.
3*h*(h + 1)**4/7
Let a(j) = 3*j**2 - 8*j. Let n(u) = u**2 - 2*u - 1. Let w(l) = 5*a(l) - 20*n(l). Let w(b) = 0. Calculate b.
-2, 2
Let d(g) be the first derivative of g**5/3 + g**4 + g**3 + g**2/3 - 5. Factor d(v).
v*(v + 1)**2*(5*v + 2)/3
Let q be -1 + (-3 + 2)*-3. Let g(p) be the second derivative of 0*p**3 + p + 1/6*p**4 + 0 - 1/10*p**5 + 0*p**q. Factor g(o).
-2*o**2*(o - 1)
Let k = 5 - 0. Let h be -2 + (k - 3) - -4. Factor 2*d - 2 - h*d - 2*d - 2*d**2.
-2*(d + 1)**2
Let r be (-4)/9*(-73)/146. Solve 2/3*m**2 + r*m**3 + 0 + 4/9*m = 0.
-2, -1, 0
Suppose 0 = -4*c + 2*c + 10. Let -14*g**3 + 0*g**2 + 32*g**c - 16*g**4 - 4*g**2 + 2*g**2 = 0. Calculate g.
-1/4, 0, 1
Let u(p) be the third derivative of -p**8/6720 + p**4/24 - 3*p**2. Let n(i) be the second derivative of u(i). Suppose n(k) = 0. Calculate k.
0
Let x = -971/7 + 139. Find k such that 2/7*k**5 + 0*k**2 - 4/7*k**4 + 0*k + x*k**3 + 0 = 0.
0, 1
Factor 2/5*y**2 + 0 - 1/5*y - 1/5*y**3.
-y*(y - 1)**2/5
Let p(w) be the third derivative of -w**8/448 - w**7/70 - 3*w**6/80 - w**5/20 - w**4/32 + 3*w**2. Solve p(u) = 0.
-1, 0
Let j be (-6)/(-18)*0 + (-1 - -1). Suppose -4*q + 0*o = 4*o, 2*o = -4*q + 6. Solve 0 + j*a**2 + 0*a**4 - 1/4*a**5 + 0*a + 0*a**q = 0.
0
Let b(c) be the third derivative of -1/2*c**3 + 0*c + 0 + 1/20*c**5 - 3*c**2 + 0*c**4. Factor b(i).
3*(i - 1)*(i + 1)
Factor 1/5*r**2 + 8/5 - 9/5*r.
(r - 8)*(r - 1)/5
Let p be ((-9)/24)/(12/(-8))*0. Let s(c) be the second derivative of p*c**2 - 3*c + 1/3*c**3 + 0 + 1/10*c**5 + 1/3*c**4. Solve s(h) = 0.
-1, 0
Let z(g) be the third derivative of g**7/35 - g**6/30 - g**5/10 + g**4/6 + 10*g**2. Factor z(x).
2*x*(x - 1)*(x + 1)*(3*x - 2)
Let t(h) = h**2 - 7*h + 8. Let u be t(6). Suppose 18*g - 13*g = 35. Determine i so that -g*i**4 - 5*i**3 + 7*i**u - 2*i + 9*i**3 - 2*i**3 = 0.
-1, 0, 2/7, 1
Let s(b) be the second derivative of -b**4/3 + 2*b**3 - 4*b**2 + 7*b. Factor s(l).
-4*(l - 2)*(l - 1)
Factor -5/4*m**4 - 1/2*m - 1/4*m**5 + 0 - 7/4*m**2 - 9/4*m**3.
-m*(m + 1)**3*(m + 2)/4
Suppose -2*h - u + 1 = 0, 40 = 4*h + h - 5*u. Factor 5*r**3 - 4*r**h - r + 1 + 1 - 2*r**2.
(r - 2)*(r - 1)*(r + 1)
Let j(n) be the first derivative of 4*n**5/5 - 3*n**4 + 4*n**3/3 + 6*n**2 - 8*n + 4. What is w in j(w) = 0?
-1, 1, 2
Determine b, given that -6/11 + 14/11*b - 10/11*b**2 + 2/11*b**3 = 0.
1, 3
Factor -1/4*l**3 + 1/4*l**2 - 1/4*l**4 + 0*l + 0 + 1/4*l**5.
l**2*(l - 1)**2*(l + 1)/4
Suppose -2*k = -5*b + 24, -5*k = 3*b - 32 - 1. Let -2*m - b*m**2 - 3*m + 0*m + 2*m = 0. Calculate m.
-1/2, 0
Let u(y) = -2*y**4 + 2*y**3 + 4*y**2 - 3*y. Let q(a) = a**4 - a**2 + a. Let h = 4 - 5. Let j(s) = h*u(s) - 3*q(s). Factor j(o).
-o**2*(o + 1)**2
Let z be 2/(2 + 0)*2. Let d(m) be the first derivative of -1/8*m**2 + 1/16*m**4 + z - 1/12*m**3 + 1/4*m. Let d(t) = 0. What is t?
-1, 1
What is m in -8*m + 30 - 14 + 2*m**3 - 8 - 2*m**2 = 0?
-2, 1, 2
Let z(c) = 3*c**5 + 9*c**4 + 12*c**3 - 9*c**2 + 3*c + 9. Let i(q) = -q**5 - 4*q**4 - 6*q**3 + 4*q**2 - q - 4. Let j(d) = 9*i(d) + 4*z(d). Factor j(b).
3*b*(b - 1)**2*(b + 1)**2
Let v = 5 - 3. Find w, given that 3*w**3 - 1 - w + 7*w - 9*w**2 - v*w**3 + 3*w**3 = 0.
1/4, 1
Let v be (-18)/(-75)*55/33. Let -v*c**2 - 2/5*c + 4/5 = 0. Calculate c.
-2, 1
Let s(o) be the third derivative of o**10/30240 - o**8/3360 + o**6/720 - o**4/12 - 3*o**2. Let a(y) be the second derivative of s(y). Factor a(k).
k*(k - 1)**2*(k + 1)**2
Let p(c) = -2*c**3 - 15*c**2 + 6*c - 16. Let z be p(-8). Let -2/7*d**3 - 2/7*d**4 + z + 2/7*d + 2/7*d**2 = 0. What is d?
-1, 0, 1
Let d(y) be the third derivative of y**7/70 - y**6/20 + y**5/20 + 3*y**2. Find t such that d(t) = 0.
0, 1
Find y, given that -24*y**3 - 4*y**5 + 8*y**4 + 16*y**2 + y**4 + 3*y - 7*y + 7*y**4 = 0.
0, 1
Let v(u) = -4*u**3 + 30*u**2 - 42*u + 22. Let d(s) = 8*s**3 - 61*s**2 + 83*s - 45. Let a(c) = 2*d(c) + 5*v(c). Solve a(f) = 0 for f.
1, 5
Let q(x) = 4*x**3 + 2*x**2 - 6. Let o(v) = v**3 + v**2 - 1. Suppose -3*s + 2*y = -16 + 3, -5*y - 24 = s. Let n(w) = s*q(w) - 6*o(w). Factor n(k).
-2*k**2*(k + 2)
Let x(v) = v + 29. Let g be x(-11). Let k = g + -16. Solve 1/2*h**k + 1/2 + h = 0.
-1
Let q = 4 - 4. Find a such that 4*a**2 + q*a + 2 - 3*a**2 - a + 4*a = 0.
-2, -1
Let d(q) be the second derivative of 0 - 11/30*q**5 - 4*q + 1/9*q**3 + 4/15*q**6 + 4/7*q**7 - 1/9*q**4 + 0*q**2. Solve d(n) = 0 for n.
-1/2, 0, 1/3
Let l be (2/4)/(35/224*8). Factor 0 - 2/5*q - l*q**2.
-2*q*(q + 1)/5
Let r be 5*(-2 - 128/(-60)). Suppose r*m - 1/3*m**2 - 1/3 = 0. What is m?
1
Let o(d) = d**3 - 4*d**2 - 7. Let g be o(5). Suppose -w - 5*a = g, a + 6 = -2*w + 3*w. Factor -8 - w*f**4 + 8.
-2*f**4
Let u(b) be the second derivative of -b**6/30 - b**5/4 - b**4/3 + b**3/2 + 5*b**2/2 + 2*b. Let w(a) be the first derivative of u(a). Factor w(g).
-(g + 1)*(g + 3)*(4*g - 1)
Let m(t) = -t**2 + 11*t + 16. Let j be m(12). Suppose -4*i = -x + j, 3*x + 8 = 3*i + 20. Factor 1/4*l**3 + i + 0*l + 1/4*l**2.
l**2*(l + 1)/4
Determine o, given that -39 + 8*o**2 - 8*o**4 + 4*o**5 + 79 - 40 - 4*o = 0.
-1, 0, 1
Factor 0 - 15/4*m**3 + 5/2*m**4 + 5/4*m + 0*m**2.
5*m*(m - 1)**2*(2*m + 1)/4
Factor 1/2*v**2 + 200 - 20*v.
(v - 20)**2/2
Let f(p) = -p**2 - p. Let d(g) = -4*g**5 + 20*g**4 - 40*g**3 + 36*g**2 - 24*g + 4. Let a(b) = -d(b) + 4*f(b). Factor a(w).
4*(w - 1)**5
Let c(k) be the third derivative of 1/15*k**5 + 0*k - 4*k**2 + 0 + 0*k**4 - 2/3*k**3. Factor c(g).
4*(g - 1)*(g + 1)
Factor 18*i**4 + 45*i + 90*i**3 + 27*i + 3*i**4 + 30 - 18 + 129*i**2.
3*(i + 1)**2*(i + 2)*(7*i + 2)
Suppose 3*t = 0, 0 = 3*j + 2*t + 32 - 8. Let s = 8 + j. Factor -2*a - a**2 + s*a**2 + a.
-a*(a + 1)
Suppose -2662/3*k**3 - 484*k**2 - 88*k - 16/3 = 0. Calculate k.
-2/11
Let s(m) be the second derivative of 1/9*m**3 - 1/30*m**5 - 2*m + 1/45*m**6 + 2/3*m**2 - 1/6*m**4 + 0. Factor s(l).
2*(l - 2)*(l - 1)*(l + 1)**2/3
Let j be -2*(-1)/(-2)*-2. Suppose 5 = -3*n + 2*n - j*c, -4*n - 3*c = 0. Determine x, given that 24/5*x + 16/5 + 12/5*x**2 + 2/5*x**n = 0.
-2
Let t = -14 - -25. Let g = 14 - t. Solve -2/9*d - 2/9 - 2/9*d**4 - 2/9*d**5 + 4/9*d**2 + 4/9*d**g = 0 for d.
-1, 1
Factor -2/11*g - 2/11*g**4 - 2/11*g**5 + 4/11*g**2 - 2/11 + 4/11*g**3.
-2*(g - 1)**2*(g + 1)**3/11
Let f = 55/3 - 18. Find d, given that -1/3*d + f*d**2 + 0 = 0.
0, 1
Let b(s) be th