3*l**2 - 2. Factor s(j).
-3*j*(j + 1)*(j + 4)/2
Let t = 28/99 + -2/33. Find b, given that -t*b**2 - 2/9 + 4/9*b = 0.
1
Let l(s) be the second derivative of -s**7/168 + s**6/180 + s**3/6 - 2*s. Let g(a) be the second derivative of l(a). Factor g(z).
-z**2*(5*z - 2)
Let f be (-2)/2*1*-3. Suppose -f*p**3 - 4 + p**2 + 2*p + 4*p**2 + p**3 - p**2 = 0. What is p?
-1, 1, 2
Suppose 19 = m + 5. Let o = m + -9. Factor 0*v**o - 2*v**5 + 0*v**3 + 2*v**3.
-2*v**3*(v - 1)*(v + 1)
Let p be ((-45)/5 + 9)/(1 + 0). Find g such that p*g + 3/4*g**2 + 0 = 0.
0
Let m(b) be the second derivative of -1/15*b**3 - 1/75*b**6 - 1/105*b**7 - 1/5*b**2 + 1/15*b**4 + 0 + 1/25*b**5 - b. Factor m(f).
-2*(f - 1)**2*(f + 1)**3/5
Let 0 + 10*r + 36*r**2 + 7/2*r**3 = 0. What is r?
-10, -2/7, 0
Let j(r) be the second derivative of -2*r**2 - 1/30*r**6 - 1/10*r**5 + 2/3*r**3 + 0 - 2*r + 1/4*r**4. Factor j(s).
-(s - 1)**2*(s + 2)**2
Let d be 12/(-8) - (-1)/2. Let l be d/(-4) + 14/8. Factor 0 + 4/7*o + 2/7*o**l.
2*o*(o + 2)/7
Let x(m) = m**3 + m**2 - 1. Let n(u) be the first derivative of -1 + 0*u**2 + 3*u**4 + 10/3*u**3 - 12*u + 2/5*u**5. Let g(t) = n(t) - 12*x(t). Factor g(f).
2*f**2*(f - 1)*(f + 1)
Let f = 99 + -293/3. Factor 10*l**3 + 0 - 22/3*l**4 + 2*l**5 + f*l - 6*l**2.
2*l*(l - 1)**3*(3*l - 2)/3
Let g(c) be the third derivative of -c**5/60 + c**4/24 + c**3/6 - 8*c**2. Let y(t) = 2*t**2 + 7*t + 4. Let w(s) = g(s) - y(s). Find u such that w(u) = 0.
-1
Let c(r) = r**2 - 5. Let k be c(-5). Suppose -6*m + o = -3*m - 12, 0 = 5*m + 4*o - k. Factor 2*f**3 + 5*f**4 + f**2 - 2*f - 3*f**2 - 3*f**m.
2*f*(f - 1)*(f + 1)**2
Let z(y) = y**4 - y**3 + y - 1. Let v(n) = -21*n**5 - 24*n**4 + 15*n**3 - 9*n + 9. Let s(k) = v(k) + 9*z(k). Factor s(m).
-3*m**3*(m + 1)*(7*m - 2)
Let h(x) be the second derivative of -x**5/2 + 11*x**4/3 - 28*x**3/3 + 8*x**2 + 9*x. Factor h(b).
-2*(b - 2)**2*(5*b - 2)
Let s = 2 + 3. Suppose -s*a = 2*k - 3*a, -4*k + 35 = -3*a. Determine r so that -2/7*r**k + 2/7 - 4/7*r**2 + 2/7*r**4 - 2/7*r + 4/7*r**3 = 0.
-1, 1
Let z(a) be the third derivative of -a**7/420 + a**6/90 - a**5/60 + a**3 - a**2. Let r(x) be the first derivative of z(x). Factor r(p).
-2*p*(p - 1)**2
Suppose -3*l + 1 + 5 = 0. Factor -l*k**4 + 3*k + 0*k**4 - 4*k**3 + 2 + k.
-2*(k - 1)*(k + 1)**3
Let c = -1363/4 - -343. Let k be (-1)/3 + 19/12. Suppose -c*f**2 - 1/2 - 7/4*f - k*f**3 - 1/4*f**4 = 0. Calculate f.
-2, -1
Let i(x) = -3*x**2 + x. Let g(b) = 7*b**2 - 3*b + 1. Let p(k) = -6*g(k) - 15*i(k). Factor p(v).
3*(v - 1)*(v + 2)
Let t be (-3*(-2)/(-63))/(54/(-252)). Let 14/9*r**2 + t*r + 0 = 0. Calculate r.
-2/7, 0
Let f = -46 + 48. Let p(y) be the first derivative of 0*y - 1/2*y**f - 2/3*y**3 + 2 - 1/4*y**4. Determine s so that p(s) = 0.
-1, 0
Suppose 14*x - 660 = 10*x. Factor 0*d**3 + 321*d**3 + 16*d**5 + 16*d + 29*d**2 - x*d**2 - 136*d**4.
d*(d - 4)**2*(4*d - 1)**2
Let g(h) be the first derivative of 3*h**6/2 - 51*h**5/5 + 63*h**4/4 + 9*h**3 - 18. Let g(r) = 0. What is r?
-1/3, 0, 3
Let y = 3 - 6. Let g(v) = -4*v**5 - 5*v**4 - 3*v**3 - 3. Let q(c) = -5*c**5 - 6*c**4 - 4*c**3 - 4. Let p(m) = y*q(m) + 4*g(m). Factor p(u).
-u**4*(u + 2)
Suppose 0*w - 11*w + 33 = 0. Factor -d - 1/3 - d**2 - 1/3*d**w.
-(d + 1)**3/3
Let f be -3*7/(-28)*1. Suppose 1/2*t - 1/4*t**2 + f = 0. Calculate t.
-1, 3
Factor s + s**2 - 7*s**2 - 6*s + 2*s.
-3*s*(2*s + 1)
Let m(y) be the first derivative of 2*y**5/5 + y**4 - 2*y**3/3 - 2*y**2 - 10. Let m(w) = 0. Calculate w.
-2, -1, 0, 1
Suppose -4*x = 3*c + c, -3*x = c + 4. Let r(v) = v**5 + v**4 - 2*v**3 + 2*v + 1. Let b(u) = u**4 + u + 1. Let l(j) = x*r(j) + 2*b(j). Factor l(o).
-2*o*(o - 1)**2*(o + 1)**2
Factor 1/4*x**2 + 0*x + 0.
x**2/4
Let w = 1 - -4. Suppose 4*d + 5*r + w = -3, 3*d = 2*r + 17. Factor -f**2 + 1 + 2*f - 2*f**d - f**2 + 2*f**2 - f**4.
-(f - 1)*(f + 1)**3
Let y = -10 - -21. Factor -8*z**2 + y*z**2 - 6*z**2.
-3*z**2
Let y(d) = -7*d**2 + 2*d. Let m(k) = 6*k**2 - 3*k. Let i(q) = 4*m(q) + 3*y(q). Factor i(v).
3*v*(v - 2)
Let u(o) be the first derivative of 2*o**5/15 + 14*o**4/3 + 196*o**3/3 + 1372*o**2/3 + 4802*o/3 + 5. What is q in u(q) = 0?
-7
Let r(s) be the third derivative of 0*s**4 + 0*s**3 + 0 - 1/735*s**7 + 0*s**6 + 0*s + 1/210*s**5 - 10*s**2. Factor r(j).
-2*j**2*(j - 1)*(j + 1)/7
Let t(f) = -145*f**4 + 235*f**3 + 85*f**2 - 25*f - 25. Let k(l) = -24*l**4 + 39*l**3 + 14*l**2 - 4*l - 4. Let j(y) = -25*k(y) + 4*t(y). What is v in j(v) = 0?
-1/4, 0, 2
Let b be (-4)/(-10)*(-20)/(-24). Find y such that -b*y**2 + 0 - 1/3*y = 0.
-1, 0
Let m(n) = -48*n**5 - 6*n**4 + 69*n**3 + 27. Let i(d) = -7*d**5 - d**4 + 10*d**3 + 4. Suppose -2 - 6 = -2*r. Let t(s) = r*m(s) - 27*i(s). Factor t(u).
-3*u**3*(u - 2)*(u + 1)
Let -2/13*x**2 + 8/13*x - 6/13 = 0. What is x?
1, 3
Let o(g) = g**2 + 2*g + 13. Let x(w) = 3*w**2 + 7*w + 38. Let v(u) = 17*o(u) - 6*x(u). Let j be v(-7). Factor 0*l**3 - 2/3*l**2 + 0*l + 2/3*l**4 + j.
2*l**2*(l - 1)*(l + 1)/3
Let y be (9/18)/(1/6). Factor 0 + 2 - 3 - 21*g + 20*g + g**y + g**2.
(g - 1)*(g + 1)**2
Let 6 + 2*s**3 + 2*s**2 - 8*s**2 + 3*s - 5*s**3 + 0*s**3 = 0. Calculate s.
-2, -1, 1
Let y = 31 - 29. Suppose g + 15 = -2*g, -21 = y*l + 5*g. Suppose -16/3*p**3 + 0 - 40/9*p**5 - 2/9*p**l + 86/9*p**4 + 4/9*p = 0. What is p?
-1/4, 0, 2/5, 1
Let n(u) = u**4 - 35*u**3 + 55*u**2 - 21*u + 4. Let b(v) = -35*v**3 + 55*v**2 - 20*v + 5. Let r(j) = -4*b(j) + 5*n(j). Factor r(s).
5*s*(s - 5)*(s - 1)**2
Let n(g) be the first derivative of g**4/6 + 2*g**3/9 - 2*g**2/3 - 1. Find y such that n(y) = 0.
-2, 0, 1
Factor -1/6*s - 1/6*s**2 + 1/3.
-(s - 1)*(s + 2)/6
Suppose 0 = -2*r + 2*g + 50, -3*g - 16 + 41 = r. Suppose 3*m = -2*m + r. Factor -4/7*i**m - 10/7*i**4 + 0*i + 0 - 8/7*i**3 - 2/7*i**2.
-2*i**2*(i + 1)**2*(2*i + 1)/7
Let m(s) be the first derivative of -1/30*s**6 - 2 + 0*s**3 + 0*s + 2/25*s**5 - 1/20*s**4 + 0*s**2. Factor m(k).
-k**3*(k - 1)**2/5
Let n(x) be the first derivative of x**8/1680 + x**7/2100 - x**6/360 - x**5/300 - 2*x**3/3 - 2. Let s(b) be the third derivative of n(b). Factor s(f).
f*(f - 1)*(f + 1)*(5*f + 2)/5
Let c(w) be the first derivative of -w**8/1680 + w**7/504 - w**6/1080 - w**5/360 + 2*w**3/3 - 3. Let r(p) be the third derivative of c(p). Factor r(b).
-b*(b - 1)**2*(3*b + 1)/3
Let w(i) be the third derivative of -1/120*i**4 + 0 + 0*i**3 + 0*i - 3*i**2 - 1/300*i**5. Determine g, given that w(g) = 0.
-1, 0
Let l = 34 - 28. Let o(y) be the third derivative of 1/360*y**l + 0 + 1/180*y**5 - 1/72*y**4 + y**2 - 1/18*y**3 + 0*y. Factor o(v).
(v - 1)*(v + 1)**2/3
Let q(a) be the third derivative of 0 + 1/240*a**5 + 0*a**3 + a**2 + 1/96*a**4 + 0*a. Determine g, given that q(g) = 0.
-1, 0
Let z(a) = -2*a**2 + 22*a - 12. Suppose 2*v + 30 = 4*v. Let l = v + -10. Let f(m) = -m**2 + 9*m - 5. Let b(n) = l*z(n) - 12*f(n). Solve b(r) = 0.
-1, 0
Factor 9/4 - 87/8*k + 9/8*k**4 + 43/8*k**3 + 17/8*k**2.
(k - 1)*(k + 3)**2*(9*k - 2)/8
Let i(h) be the first derivative of -1/8*h**4 - 1/6*h**3 + 4 + 1/10*h**5 + 0*h + 1/4*h**2. Suppose i(n) = 0. What is n?
-1, 0, 1
Let p(u) be the first derivative of -u**5/15 - u**4/12 + u**3/3 + u**2/6 - 2*u/3 - 10. Factor p(c).
-(c - 1)**2*(c + 1)*(c + 2)/3
Suppose 4*j - 5*j - 11 = -5*k, 1 = j - k. Let -8*i**2 + 20*i**4 - 4 + 9*i**3 + 3*i**3 + j = 0. What is i?
-1, 0, 2/5
Factor -15*d**3 + d**3 - 6*d**3 + 10*d**2 - 5*d**2.
-5*d**2*(4*d - 1)
Let j(q) be the second derivative of q**5/5 - 2*q**4/3 - 2*q**3/3 + 4*q**2 - q. Factor j(d).
4*(d - 2)*(d - 1)*(d + 1)
Let g = -46 + 48. Factor 8/3*c - 2/3*c**5 + 8/3*c**4 - 20/3*c**g - 2/3*c**3 + 16/3.
-2*(c - 2)**3*(c + 1)**2/3
Let o = 14 - 10. Determine y so that 0 - o*y**3 + 4*y**2 - 2*y**4 + 2*y**5 + 0*y**3 + 2*y - 2 = 0.
-1, 1
Let q be 4*(-1 + (-9)/(-6)). Let i(u) = -u**3 + 16*u**2 + 2. Let r be i(16). What is b in r*b**4 + q*b - 4/3 - 14/3*b**3 + 2*b**2 = 0?
-2/3, 1
Let l(x) = -5*x**3 - 6*x**2 - x + 4. Let t(g) = -4*g**3 - 5*g**2 - g + 3. Let z = -8 + 4. Let y(f) = z*t(f) + 3*l(f). Find k, given that y(k) = 0.
-1, 0
Let v(u) = -41*u**2 - 53*u - 23. Let s(x) be the first derivative of 7*x**3 + 27*x**2/2 + 12*x + 2. Let q(l) = -11*s(l) - 6*v(l). Find b such that q(b) = 0.
-1, -2/5
Let f = -7 - -4. Let y = -1 - f. Suppose 0*j**2 + j**2 - 3 - j**4 + y + j**2 = 0. Calculate j.
-1, 1
Let n = -7 + 10. Fac