2 - k**2/4 + k/4 - 10. Factor q(s).
(s - 1)**2/4
Let y be 112/105 - (-8)/(-12). Factor y*n**3 + 0 + 0*n - 2/5*n**2.
2*n**2*(n - 1)/5
Suppose 4*q = 2*n - 12, -3 = -q + 2*q. Suppose n*o = -3*o. Determine g so that o*g - g**2 - g + 2*g = 0.
0, 1
Let w(l) be the first derivative of -1/5*l**2 + 2 + 1/10*l**4 + 2/5*l - 2/15*l**3. Solve w(d) = 0.
-1, 1
Factor -14 - 10*j**2 + 12 + 8*j + 76*j**3 - 72*j**3.
2*(j - 1)**2*(2*j - 1)
Let h be 8/72*-3*-1. What is v in -2/3*v**2 + 0 + 1/3*v**3 + h*v = 0?
0, 1
Let y(s) = -9*s**2 + 8*s - 4. Let u(l) = -4*l**2 + 3*l**2 - 2 - 2*l**2 + 4*l - 2*l**2. Let c(r) = -5*u(r) + 3*y(r). Factor c(n).
-2*(n - 1)**2
Let t(q) be the first derivative of q**6/2 - 2*q**5/7 + q**4/28 - 29. Factor t(l).
l**3*(3*l - 1)*(7*l - 1)/7
Let b(f) = -f**2 - 4*f + 7. Let y be b(-5). Suppose t = 5*o - 10, -3*o + o + 4 = 5*t. Solve 2*v**2 + 2*v**y + 2*v**3 - o*v**2 = 0 for v.
-1, 0
Let l(q) be the third derivative of 2*q**7/105 + q**6/15 + 23*q**2. What is a in l(a) = 0?
-2, 0
Let l(j) = -4*j**3 - 4*j**2 + 8*j + 8. Let t(f) = 4*f**3 + 4*f**2 - 9*f - 9. Let v(g) = 5*l(g) + 4*t(g). Factor v(p).
-4*(p - 1)*(p + 1)**2
Let r(v) be the second derivative of 3*v**5/140 + v**4/28 - 2*v. Find j, given that r(j) = 0.
-1, 0
Let j(y) be the first derivative of -8*y**7/105 - 13*y**6/30 - y**5 - 7*y**4/6 - 2*y**3/3 - y**2/2 - 6. Let d(i) be the second derivative of j(i). Factor d(b).
-4*(b + 1)**3*(4*b + 1)
Let c(u) = 10*u**2 - 20*u + 10. Let j = -14 - -17. Let b(s) = 9*s**2 - 20*s + 11. Let r(h) = j*c(h) - 2*b(h). Suppose r(a) = 0. Calculate a.
2/3, 1
Let u(h) be the first derivative of 0*h - 24/55*h**5 - 9/22*h**4 - 5/33*h**6 + 4 - 4/33*h**3 + 0*h**2. Let u(q) = 0. What is q?
-1, -2/5, 0
Let y(g) be the second derivative of 1/6*g**5 + 10*g + 11/12*g**4 + 20/9*g**3 + 0 + 1/90*g**6 + 8/3*g**2. Let y(d) = 0. Calculate d.
-4, -1
Let q be 2 - (2/(-20))/((-36)/690). Let s(b) be the third derivative of 0 + 0*b - q*b**3 + 5*b**2 - 1/120*b**5 - 1/24*b**4. Factor s(c).
-(c + 1)**2/2
Factor 1/2*o**3 - 3*o + 0 - 1/2*o**2.
o*(o - 3)*(o + 2)/2
Let a(o) be the third derivative of -o**6/540 + o**5/90 + o**3/3 + 3*o**2. Let v(n) be the first derivative of a(n). Factor v(s).
-2*s*(s - 2)/3
Suppose -5 = -2*p - 3. Let f be (35/(-14))/(p/(-2)). Factor 0*j**4 + j**3 - 1/2*j**2 - 1/4*j**f + 1/2 - 3/4*j.
-(j - 1)**3*(j + 1)*(j + 2)/4
Let j(o) be the first derivative of -3*o**4/16 - o**3 - 9*o**2/8 + 20. Let j(g) = 0. Calculate g.
-3, -1, 0
Let o(q) be the third derivative of -q**8/1176 - 2*q**7/735 + q**6/210 + 2*q**5/105 - q**4/84 - 2*q**3/21 - 3*q**2. Determine m so that o(m) = 0.
-2, -1, 1
Let k = -5 + 7. Let s be 0 + 3*k/18. Factor -2/3 - s*c**2 - c.
-(c + 1)*(c + 2)/3
Let j(s) be the third derivative of s**5/300 - 3*s**4/40 + 4*s**3/15 - 28*s**2. Determine t so that j(t) = 0.
1, 8
Let n(d) be the second derivative of -5*d**7/42 - d**6/6 + d**5/4 + 5*d**4/12 - 5*d. Factor n(y).
-5*y**2*(y - 1)*(y + 1)**2
Let -1/3*o + 1/6*o**2 + 0 = 0. Calculate o.
0, 2
Let t(v) be the first derivative of 0*v + 1/9*v**3 + 1/6*v**2 + 5. Find z, given that t(z) = 0.
-1, 0
Let z(c) = -c**4 + 7*c**3 + 9*c**2 + 3*c - 3. Let h(b) = b**3 + b**2 + b. Let i(d) = 5*h(d) - z(d). Factor i(q).
(q - 3)*(q - 1)*(q + 1)**2
Factor -3/2*o**3 + 3/2*o + 1/2*o**2 - 1 + 1/2*o**4.
(o - 2)*(o - 1)**2*(o + 1)/2
Let f(k) be the first derivative of 7*k**6/1620 + k**5/45 - k**4/27 - k**3 + 1. Let m(b) be the third derivative of f(b). Suppose m(r) = 0. Calculate r.
-2, 2/7
Solve -2/3 + 4/9*v + 2/9*v**2 = 0.
-3, 1
Let s(v) be the first derivative of 1/12*v**3 - 1/6*v**6 + 0*v + 2/5*v**5 + 0*v**2 - 5/16*v**4 + 1. Factor s(a).
-a**2*(a - 1)*(2*a - 1)**2/4
Factor 0 + 3*w**3 + 15/4*w**2 + 3/2*w + 3/4*w**4.
3*w*(w + 1)**2*(w + 2)/4
Let v(y) be the third derivative of 1/3*y**3 - 1/30*y**5 + 2*y**2 - 1/12*y**4 + 0*y + 1/60*y**6 + 0. Factor v(k).
2*(k - 1)**2*(k + 1)
Let y(u) be the first derivative of -u**5/10 - 5*u**4/8 - 3*u**3/2 - 7*u**2/4 - u - 1. Suppose y(q) = 0. What is q?
-2, -1
Let w(r) be the second derivative of r**5/130 + r**4/78 - 4*r**3/39 - 4*r**2/13 - 12*r. Solve w(x) = 0 for x.
-2, -1, 2
Let m = 4 - 8. Let a be (-37)/(-13) - m/26. Factor -3*v - 3*v - 2*v**2 - v**2 + 0*v - a.
-3*(v + 1)**2
Suppose 0 = -4*n + q + 24, 0*n + 25 = n - 5*q. Factor v**3 + 49/4*v**n + 0*v**2 + 0 + 0*v - 7*v**4.
v**3*(7*v - 2)**2/4
Let j be (-196)/(-70) + 1/5. Suppose -k - 8 = 5*h, 1 = h + j. Factor 2/3 - l + 1/3*l**k.
(l - 2)*(l - 1)/3
Let k(n) be the first derivative of -n**6/195 - n**5/65 + 2*n**3/39 + n**2/13 - 2*n - 5. Let v(u) be the first derivative of k(u). Factor v(c).
-2*(c - 1)*(c + 1)**3/13
Let i(o) be the first derivative of 3*o**4/8 - 3*o**3/2 + 9*o**2/4 - 3*o/2 - 9. Find k, given that i(k) = 0.
1
Let p(r) = r**2 - 5*r - 4. Let u be p(4). Let z = u + 11. Factor 0*x + 0*x**z + 0 - 1/2*x**2 + 1/2*x**4.
x**2*(x - 1)*(x + 1)/2
Let j(p) be the third derivative of -p**7/2940 + p**5/420 - p**3/2 - 3*p**2. Let v(k) be the first derivative of j(k). Find w such that v(w) = 0.
-1, 0, 1
Let r be 20/14*(-2)/(-5). Let i(q) be the first derivative of -1/7*q**2 + 0*q - 9/14*q**4 + 2 - r*q**3. Factor i(l).
-2*l*(3*l + 1)**2/7
Let d(f) = -5*f**2 - 7*f + 10. Let p(u) = 21*u**2 + 27*u - 39. Let w(x) = 9*d(x) + 2*p(x). What is j in w(j) = 0?
-4, 1
Let n(c) be the second derivative of -c**8/1176 + c**7/735 + c**6/140 - c**5/42 + c**4/42 + c**2 + 8*c. Let a(y) be the first derivative of n(y). Factor a(j).
-2*j*(j - 1)**3*(j + 2)/7
Suppose 0 = -4*l + 3*q + 16, -4 = l + 3*q - 8. Solve -5 + 2*t - 4*t + 5 - 2*t**l - 6*t**2 - 6*t**3 = 0.
-1, 0
Let h = -1/131 - -135/524. Factor -1/4*r + 0 + 1/4*r**2 + h*r**3 - 1/4*r**4.
-r*(r - 1)**2*(r + 1)/4
Let s(f) = -8*f**2 - 5*f - 2*f - 3*f - 7 + 17*f + 2*f**3. Let m(k) = 4*k**3 - 16*k**2 + 15*k - 13. Let i(q) = 3*m(q) - 5*s(q). Let i(r) = 0. Calculate r.
1, 2
Let r(a) be the first derivative of -a**4/54 + 4*a**2/9 - 6*a + 8. Let c(h) be the first derivative of r(h). Factor c(d).
-2*(d - 2)*(d + 2)/9
Let h(t) = 5*t + 10. Let p be h(-2). Factor 1/5*i**2 - 1/5*i + p.
i*(i - 1)/5
Let i be 5 + ((-24)/2)/4. Suppose -2*q = r + 2*r + 9, -5*r = i*q + 15. Factor 1/2*k**4 - 1/2*k**2 - 1/2*k + 1/2*k**3 + q.
k*(k - 1)*(k + 1)**2/2
Let g(w) = 4*w**3 + w**2. Let m be g(1). Let f(k) = 0*k + k**3 - m*k**2 + 3*k - 4*k. Let x(y) = -y**2. Let c(s) = f(s) - 5*x(s). Factor c(b).
b*(b - 1)*(b + 1)
Let m = 31 + -185/6. Let -1/2*f + m*f**2 + 1/3 = 0. Calculate f.
1, 2
Let w(o) be the first derivative of 6*o**5/55 - 2*o**3/11 + 6. Solve w(h) = 0 for h.
-1, 0, 1
Let i(k) be the second derivative of -k**4/36 + k**3/9 + 25*k. Factor i(z).
-z*(z - 2)/3
Suppose 4*i = 4*s - 7*s + 3, 3*s = 2*i - 15. Suppose -9*p**3 + 4*p**i - p**3 + 2*p**4 + 4*p**2 = 0. What is p?
0, 1, 2
Let s(m) = m**2 - 1. Let t(p) = 8*p**2 - 2*p - 6. Let l = -12 + 18. Suppose 2*w + w + 3 = 0. Let f(v) = l*s(v) + w*t(v). Suppose f(c) = 0. What is c?
0, 1
Let j = 7 - 4. Let r be (-1)/(0 - j/6). Factor 4*f**2 + f + f**3 - 5*f**2 - f**r.
f*(f - 1)**2
Factor -1/7*w**2 - 1/7*w + 2/7.
-(w - 1)*(w + 2)/7
Let n be (-7)/((-21)/(-12)) + 76/16. Factor -3/2 + 15/4*c + n*c**3 - 3*c**2.
3*(c - 2)*(c - 1)**2/4
Let z(u) be the first derivative of -1/5*u**2 + 1/10*u**4 + 0*u + 0*u**3 + 5. What is w in z(w) = 0?
-1, 0, 1
Solve 0*z**2 + 1/5*z**3 + 0*z + 0 = 0 for z.
0
Let v(q) be the first derivative of -q**6/30 - 3*q**5/25 - 3*q**4/20 - q**3/15 - 17. Determine g, given that v(g) = 0.
-1, 0
Suppose -8 = -2*k - 0*k. Let y = -10 - -12. Factor -1 + k*p**4 + 2*p - 5*p**y + 1 + p**2 - 2*p**5.
-2*p*(p - 1)**3*(p + 1)
Let f(o) = -4*o. Let n be f(-4). Factor 2*m**4 - 20*m**2 + 2 + n*m**2 + 0*m**4.
2*(m - 1)**2*(m + 1)**2
Let q be 2/(-3)*285/10. Let x = q - -19. Solve 1/3*l**2 + 0*l + x + 1/3*l**3 = 0.
-1, 0
Factor 0 - 2/15*q + 2/15*q**2.
2*q*(q - 1)/15
Let l(h) = h**2. Let i(s) = -4*s**2 + 2*s + 12. Let w(d) = i(d) + 2*l(d). Factor w(u).
-2*(u - 3)*(u + 2)
Let d(s) = 3*s. Let x be d(-1). Let w be (x + 0)/((-4)/4). What is a in -1 + 6 - w - a**2 + a = 0?
-1, 2
Suppose -r = r - 24. Factor -1 - r*n - 4 - 13 - 2*n**2.
-2*(n + 3)**2
Let v(d) = d**3 + 9*d**2 - 7*d + 30. Let g be v(-10). Determine q, given that g*q + 1/4*q**2 - 1/4 = 0.
-1, 1
Let d(h) be the first derivative of -h**7/56 + h**6/40 + 3*h**