 k(3). Suppose 2*s + 2*h - 8 = 0, -h = -s - 4*h + c. Factor y**s - y**3 + 2*y**2 - 4*y**2.
-y**2*(y + 1)
Suppose -5*w + 8 + 2 = 0. Find k, given that -3*k**4 + 5*k**2 + 5*k**4 - 9*k**2 + 2 + 4*k**3 - w*k**5 + k - 3*k = 0.
-1, 1
Suppose 0 = -4*d - v + 4, -2*d - 3*d + 3*v = -22. Suppose 4/3*o + 2/3 + 2/3*o**d = 0. What is o?
-1
Solve 10/9*w - 2/9*w**2 - 8/9 = 0.
1, 4
Let g(w) be the first derivative of -12*w**5/5 + 3*w**4/4 + 10. Factor g(k).
-3*k**3*(4*k - 1)
Let a(c) be the first derivative of 0*c - 2 - 2/21*c**3 - 1/30*c**5 + 3/28*c**4 + c**2. Let u(y) be the second derivative of a(y). Factor u(o).
-2*(o - 1)*(7*o - 2)/7
Let f be (-48)/(-27) + 6/27. What is m in -m**3 + 0*m**3 + 12*m**f - 10*m**2 = 0?
0, 2
Suppose 3*l + m + 22 = 6*l, 5*l - 44 = -2*m. Let g be 8/6 - l/(-12). Factor q**3 - 1/4 + 3/2*q - 9/4*q**g.
(q - 1)**2*(4*q - 1)/4
Let q(n) be the second derivative of 4*n**6/405 - 2*n**5/135 + n**4/108 - n**3/3 + 4*n. Let t(u) be the second derivative of q(u). Determine y so that t(y) = 0.
1/4
Let c = -12 + 24. Suppose -4*a = -2*d - c, 4 = -2*d + a + 1. Let 2/5*n**4 - 8/5*n**3 + 2*n**2 + d - 4/5*n = 0. Calculate n.
0, 1, 2
Let z = 7 - -15. Let q be z*(0 - (-2)/16). Factor 1/4*x + 3/2*x**2 - 1/4 + q*x**4 - 7/2*x**3 - 3/4*x**5.
-(x - 1)**4*(3*x + 1)/4
Let v(y) be the second derivative of y**6/90 + y**5/30 - y**4/9 - y**3/9 + y**2/2 + 7*y. Find k, given that v(k) = 0.
-3, -1, 1
Let s(l) be the first derivative of -l**4/4 - l**3/3 + l**2 - 14. Let s(a) = 0. What is a?
-2, 0, 1
Let v = 5 - 3. Let u be 1 + ((-8)/(-2))/v. Factor 3*d**5 + 4*d + 2*d**4 - 4*d**2 + 2 - d**5 - 2*d - 4*d**u.
2*(d - 1)**2*(d + 1)**3
Let l be (1/(-1) - -9) + 0. Let h be 5/(-1)*l/(-10). Factor 2*k - 2*k + 2*k**2 + 0*k**2 - 2*k**h.
-2*k**2*(k - 1)*(k + 1)
Let w = -2 + 2. Factor -14*l**2 - 4 + 3 + w - 10*l + 5.
-2*(l + 1)*(7*l - 2)
Suppose -3*b - 3*o - o = 14, 4*b - 3 = -o. Suppose 22 = 4*r + 2*g + 3*g, b*r + 3*g - 12 = 0. Determine i so that -i**3 + r*i**2 + i**3 + i**3 - 4 = 0.
-2, 1
Suppose 4*n - 10 = -n. Let 1 - 1 - 4*g**n + 2*g**2 = 0. Calculate g.
0
Factor -5/2*n + 2 + 1/2*n**2.
(n - 4)*(n - 1)/2
Let r(c) be the first derivative of -1/9*c**2 + 0*c - 1/18*c**4 + 3 - 4/27*c**3. Let r(t) = 0. Calculate t.
-1, 0
Let m(g) be the first derivative of -14/3*g**3 - 2*g**4 - 2*g**2 + 2*g - 4. Determine b, given that m(b) = 0.
-1, 1/4
Let n(q) be the second derivative of -3*q**5/100 - q**4/20 + q**3/10 + 3*q**2/10 - 20*q. Factor n(u).
-3*(u - 1)*(u + 1)**2/5
Let h = -17/207 - 2/69. Let w = h + 32/45. Factor -w*n - 1/5 + 4/5*n**2.
(n - 1)*(4*n + 1)/5
Let a(l) be the first derivative of -l**6/300 + l**5/75 - l**4/60 + l**2 + 4. Let v(u) be the second derivative of a(u). Find g, given that v(g) = 0.
0, 1
Let h(f) be the first derivative of -1/2*f**2 + 1/120*f**5 - 2 - 1/12*f**3 + 0*f**4 + 0*f. Let d(i) be the second derivative of h(i). Solve d(c) = 0 for c.
-1, 1
Let i(u) be the first derivative of -u**6/15 - 12*u**5/25 - 6*u**4/5 - 4*u**3/3 - 3*u**2/5 - 5. Let i(q) = 0. What is q?
-3, -1, 0
Let r(g) be the second derivative of 5*g**7/42 - g**6/3 - 3*g**5/4 + 10*g**4/3 - 10*g**3/3 - 2*g. Factor r(d).
5*d*(d - 2)*(d - 1)**2*(d + 2)
Let s(h) be the first derivative of -2/5*h**5 + 7/2*h**4 - 12*h**3 - 16*h + 3 + 20*h**2. Factor s(j).
-2*(j - 2)**3*(j - 1)
Let w(q) = -3*q**3 + 2*q**2 + q. Let y = 0 + -3. Let t(i) = i - 6. Let u be t(8). Let k(c) = -4*c**3 + 2*c**2 + 2*c. Let f(n) = u*k(n) + y*w(n). Factor f(r).
r*(r - 1)**2
Let o = -7/11 - -43/33. Find y, given that 0 + y**2 + o*y + 1/3*y**3 = 0.
-2, -1, 0
Let a = -3 + 7. Suppose 6 = 3*q + 5*f, 3*f = -q + 8*f + 2. Solve -2 - 4*r + 2*r**3 + 3*r**3 - r**3 + q*r**a = 0 for r.
-1, 1
Let g = 112/5 + -403/18. Let t(a) be the second derivative of g*a**6 + 0 - 1/36*a**4 + 2*a + 0*a**2 + 0*a**5 + 0*a**3. Factor t(w).
w**2*(w - 1)*(w + 1)/3
Let p(z) be the third derivative of -z**6/840 + z**5/210 + z**4/168 - z**3/21 - 12*z**2. Let p(m) = 0. Calculate m.
-1, 1, 2
Let l(h) be the second derivative of -3*h**5/5 + 4*h**4 - 21*h**3/2 + 27*h**2/2 - 7*h. What is g in l(g) = 0?
1, 3/2
Let m = 372 - 1096/3. Factor m*y - 4/3 - 25/3*y**2.
-(5*y - 2)**2/3
Let r(d) = d + 2. Suppose -y = -3*y. Let b be r(y). Factor x**2 + x + 0 + b + 2*x.
(x + 1)*(x + 2)
Let n = 7129/36 + -198. Let v(u) be the second derivative of 0*u**2 - u + 1/20*u**5 + n*u**4 + 0 - 1/9*u**3. Factor v(x).
x*(x + 1)*(3*x - 2)/3
Suppose -16 = -5*g - 6. Factor 6*v**2 + 1 - g*v**3 + 3*v - 9*v + 1.
-2*(v - 1)**3
Let y(x) be the third derivative of -1/3*x**4 - 1/15*x**6 + 0*x - 1/5*x**5 - 1/3*x**3 + 0 + 3*x**2 - 1/105*x**7. Factor y(b).
-2*(b + 1)**4
Let c(m) be the second derivative of -1/42*m**4 + 0*m**2 + 0 + 2*m - 2/21*m**3. Let c(i) = 0. Calculate i.
-2, 0
Factor -21*w - 21*w**2 + 43*w**2 - 19*w**2.
3*w*(w - 7)
Let -3*a**5 + 12*a - 15*a**2 - 9*a**3 + 111*a**4 + 0*a**5 - 96*a**4 = 0. What is a?
-1, 0, 1, 4
Let j(t) be the third derivative of t**6/20 - 11*t**5/30 + 5*t**4/12 + t**3 - 19*t**2. Factor j(s).
2*(s - 3)*(s - 1)*(3*s + 1)
Let f(a) be the third derivative of a**6/200 - a**4/40 + 4*a**2. Factor f(v).
3*v*(v - 1)*(v + 1)/5
Let b(a) be the third derivative of a**6/90 - a**4/6 + 4*a**3/9 - 11*a**2. Solve b(l) = 0.
-2, 1
Let l(v) be the second derivative of -v**6/45 - v**5/30 - 2*v. Suppose l(g) = 0. Calculate g.
-1, 0
Let p(s) be the first derivative of -s**5/5 + s**4/4 + s**3 - s**2/2 - 2*s - 12. Factor p(c).
-(c - 2)*(c - 1)*(c + 1)**2
Suppose 28*p**2 + 9*p**2 - 15 + 8*p**2 - 84*p + 3 = 0. What is p?
-2/15, 2
Find k such that 11*k**2 - 14*k**2 - 5*k**3 - 11*k**2 - 11*k**2 = 0.
-5, 0
Let 0*b + 0 + 1/3*b**3 + 2/3*b**2 = 0. What is b?
-2, 0
Let h(a) = a**3 - a**2 - a. Let f(b) be the first derivative of -b**6/2 + 6*b**5/5 + 5*b**4/4 - 11*b**3/3 - b**2 - 10. Let p(z) = -f(z) + 5*h(z). Factor p(w).
3*w*(w - 1)**3*(w + 1)
Let -2/7*l**2 + 8/7 - 6/7*l = 0. Calculate l.
-4, 1
Let a(j) be the second derivative of -j**4/6 - 5*j**3/21 + 2*j**2/7 + 7*j. Suppose a(h) = 0. What is h?
-1, 2/7
Suppose -4*j - 2 = -2*b - 0*j, -3*b + 4 = -5*j. Factor -7 - m**2 + 3*m**2 - 9*m + b + 11*m.
2*(m - 1)*(m + 2)
Let m(h) be the first derivative of 3*h**4/4 - h**3 - 3*h**2/2 + 3*h - 1. Factor m(j).
3*(j - 1)**2*(j + 1)
Let l = 4 + -4. Suppose 0 = -0*x - 2*x. Solve 2/7*w**3 + l*w + 2/7*w**4 + 0*w**2 + x = 0 for w.
-1, 0
Let z be 7/(-2)*4/(-7). Let q(m) = 5*m**3 - m**2 - 3*m - 1. Let b(o) = o**4 + 11*o**3 - 3*o**2 - 6*o - 3. Let v(c) = z*b(c) - 5*q(c). Factor v(k).
(k - 1)**2*(k + 1)*(2*k - 1)
Let v(x) be the second derivative of -x**8/168 + x**6/60 + 2*x**2 + x. Let z(y) be the first derivative of v(y). Factor z(o).
-2*o**3*(o - 1)*(o + 1)
Let b(m) = -m - 3. Let a be b(9). Let x = -7 - a. Factor -4*d**4 - 2*d**5 + 0*d**x + 4*d**5 - 2*d - 3*d**2 + 7*d**2.
2*d*(d - 1)**3*(d + 1)
Let q(v) be the third derivative of 0*v**3 + 0 + 0*v + 1/120*v**5 + 1/48*v**4 + 3*v**2. Factor q(y).
y*(y + 1)/2
Let l(m) = -9*m**5 - 12*m**4 + 59*m**3 + 68*m**2 + 12*m - 1. Let k(s) = 5*s**5 + 6*s**4 - 29*s**3 - 34*s**2 - 6*s + 1. Let b(d) = 14*k(d) + 6*l(d). Factor b(h).
4*(h - 2)*(h + 1)**3*(4*h - 1)
Let v = 387 - 385. Factor 0 + 2/11*x - 2/11*x**v.
-2*x*(x - 1)/11
Let c be 1/(-9) + 1246/1008. Let j(o) be the first derivative of -9/4*o**2 - 1/3*o**3 + o - 2 + c*o**4. Let j(v) = 0. Calculate v.
-1, 2/9, 1
Let f(v) = 5*v**4 - 13*v**3 - 3. Let g(s) = -10*s**4 + 25*s**3 + 5. Let y(d) = 5*f(d) + 3*g(d). Factor y(m).
-5*m**3*(m - 2)
Let w(n) be the second derivative of 5*n**4/12 + 5*n**3/2 + 5*n**2 - 16*n. Factor w(x).
5*(x + 1)*(x + 2)
Determine k, given that -36/7*k**4 + 8/7*k - 16/7*k**5 + 0 + 8/7*k**3 + 36/7*k**2 = 0.
-2, -1, -1/4, 0, 1
Let y(o) be the third derivative of 0*o**4 + 1/8*o**6 + 0*o**3 - 1/10*o**7 - 9*o**2 + 1/10*o**5 + 0 + 0*o. Factor y(b).
-3*b**2*(b - 1)*(7*b + 2)
Factor 4/15 - 2/15*j**2 + 2/15*j.
-2*(j - 2)*(j + 1)/15
Suppose -3*r = 2*o - 7, -o + 3 + 3 = 2*r. Let t(j) be the second derivative of -1/15*j**6 + 0 - 1/10*j**r - 2*j**2 + 1/2*j**4 + 1/3*j**3 - 2*j. Factor t(c).
-2*(c - 1)**2*(c + 1)*(c + 2)
Suppose -2/5*v + 0 - 1/5*v**2 = 0. Calculate v.
-2, 0
Suppose 2*j - 4 = 3*f, -4*j + 17 = 2*f - 7. Factor 2*h + 2/3 - 8/3*h**f.
-2*(h - 1)*(4*h + 1)/3
Let f(b) = 9*b**2 + 39*b + 30. Let k(i) = 8*i**2 + 38*i + 30. Let r(d) =