3 = 0.
-2/11, 2
Let n be (8/(-140))/(1/(-5)). Factor 0*b + n*b**3 + 0*b**2 + 0 + 2/7*b**4.
2*b**3*(b + 1)/7
Let a(b) be the second derivative of -5*b**5/9 + 295*b**4/27 - 448*b**3/27 + 88*b**2/9 + 39*b. Factor a(q).
-4*(q - 11)*(5*q - 2)**2/9
Factor -2/3*x**4 + 4/3*x + 2/3 + 0*x**2 - 4/3*x**3.
-2*(x - 1)*(x + 1)**3/3
Let t(n) be the second derivative of -2/3*n**4 + 0 + 0*n**3 + 0*n**2 - 2/15*n**6 + 2*n + 3/5*n**5. Factor t(z).
-4*z**2*(z - 2)*(z - 1)
Let b be (3*3/(-45))/(-1). Let w(s) be the second derivative of 0*s**6 - 1/6*s**4 + s**2 + 1/42*s**7 + 1/2*s**3 + 2*s + 0 - b*s**5. Solve w(u) = 0.
-1, 1, 2
Let n(x) be the third derivative of x**11/332640 + x**10/151200 + x**5/15 + 4*x**2. Let o(a) be the third derivative of n(a). Factor o(f).
f**4*(f + 1)
Let p(r) be the first derivative of r**4/4 + 3*r**3 + r**2/2 + 12*r + 4. Let s be p(-9). Factor 0*h**2 + 0*h**4 - 1/3*h**s + 1/3*h**5 + 0 + 0*h.
h**3*(h - 1)*(h + 1)/3
Let z(v) be the second derivative of -1/8*v**2 + 1/48*v**4 + 3*v + 0 + 0*v**3. Factor z(c).
(c - 1)*(c + 1)/4
Let a(k) be the first derivative of 2/9*k**2 + 0*k - 5/18*k**4 - 1 + 2/9*k**3. Factor a(o).
-2*o*(o - 1)*(5*o + 2)/9
Suppose 3*b + 11 - 5 = 0, -d + 6 = -4*b. Let q be d/(-7) - (-22)/21. Factor 0*m + 0 - 8*m**4 + 10/3*m**5 + 6*m**3 - q*m**2.
2*m**2*(m - 1)**2*(5*m - 2)/3
Let i be 3 - (11/(-4))/(-1). Factor -3/4*q**2 + 0 + i*q - q**3.
-q*(q + 1)*(4*q - 1)/4
Factor -1/3*b**5 + 16/3*b**2 - 14/3*b**3 + 2/3 + 2*b**4 - 3*b.
-(b - 2)*(b - 1)**4/3
Let o(v) = 0 - v**2 - 12*v + 9*v + 3 + 5*v. Let c(h) = h + 1. Suppose 5*d - 6 = -4*t + 8, 2*d = -5*t + 9. Let j(r) = d*o(r) - 4*c(r). Solve j(s) = 0.
-1, 1
Let r = 1/115 + 112/345. Factor -q**3 + q - r*q**4 - 1/3*q**2 + 2/3.
-(q - 1)*(q + 1)**2*(q + 2)/3
Let c(v) be the first derivative of v**8/1470 - v**7/588 + v**6/1260 + 2*v**3/3 + 1. Let g(z) be the third derivative of c(z). Solve g(a) = 0 for a.
0, 1/4, 1
Let x(d) be the second derivative of d**7/84 - d**6/15 + d**5/8 - d**4/12 - 3*d. Factor x(w).
w**2*(w - 2)*(w - 1)**2/2
Let m = 80 - 77. Factor -2*y**m - 5/2*y**2 - 1/2*y**4 + 0 - y.
-y*(y + 1)**2*(y + 2)/2
Let l = 4 - 12. Let j = -5 - l. Determine g so that 3/2*g**2 - g**j - 2 + 2*g - 1/2*g**4 = 0.
-2, 1
Find i such that 23 + 21*i + 57 + 65*i + 5*i**2 - 46*i = 0.
-4
Let u be 2*(2 - (1 - 0)). Let b be u/5*10/12. Factor 4/3*p**3 + 5/3*p**2 + b*p + 0.
p*(p + 1)*(4*p + 1)/3
Determine y, given that -18/7*y**2 - 2/7*y**3 - 32/7 - 48/7*y = 0.
-4, -1
Suppose 0*g = 5*g. Let n(s) be the first derivative of 1/12*s**4 + 0*s - 1/9*s**3 + g*s**2 + 3. Factor n(y).
y**2*(y - 1)/3
Find z such that 408 - 864*z - 28*z**4 + 288*z**2 - 1517 - 619 + 80*z**3 + 2*z**5 = 0.
-2, 6
Let a = 90 + -268/3. Determine m, given that a*m**5 + 2*m**3 + 0 - 8/3*m**2 - 8/3*m + 8/3*m**4 = 0.
-2, -1, 0, 1
Let n(a) = a**2 + a - 1. Let q(h) = 9*h**2 - 3. Let m(l) = 6*n(l) - q(l). Let m(r) = 0. What is r?
1
Let m(t) = t**2 - t - 1. Let p be m(4). Let x(f) = -f**2 + 10*f + 11. Let i be x(p). Let -2/3*r**2 + 2/3 + i*r = 0. Calculate r.
-1, 1
Let r be (-1*10*1)/1. Let c(s) = -s**3 - 10*s**2 + s + 12. Let y be c(r). Determine z, given that 1/2*z - 1/4 - 1/4*z**y = 0.
1
Let o = 4 - 1. Find t, given that 0 + 0 - 2*t**3 + 5*t**o + 3*t**2 = 0.
-1, 0
Let b(k) be the second derivative of k**5/20 - k**4/4 + k**3/2 - k**2/2 - 4*k. Let b(r) = 0. Calculate r.
1
Let p be 1/13 - (-150)/585. Find u such that 0*u**4 - 1/3*u**5 + 0 + 0*u + p*u**3 + 0*u**2 = 0.
-1, 0, 1
Let z(m) be the second derivative of -3*m**5/140 + 3*m**3/14 + 3*m**2/7 + 4*m. Factor z(n).
-3*(n - 2)*(n + 1)**2/7
Let u(z) be the third derivative of -z**8/70560 + z**7/4410 - z**6/630 + z**5/20 + z**2. Let a(x) be the third derivative of u(x). Factor a(i).
-2*(i - 2)**2/7
Let u = 94/39 + -14/13. What is z in 0*z + 1/3*z**2 - u = 0?
-2, 2
Let n = -2/569 - -589/5690. Let m(d) be the first derivative of n*d**4 - 2 + 4/5*d**3 + 16/5*d + 12/5*d**2. Factor m(h).
2*(h + 2)**3/5
Let h = -33 - -51. Let f = h + -35/2. What is a in 0*a - f*a**2 + 0 = 0?
0
Let z = -1/29 - 287/87. Let k = z - -53/15. Let 2/5*p + 1/5*p**2 + k = 0. Calculate p.
-1
Let j(w) be the third derivative of -1/60*w**5 + 2*w**2 - 1/40*w**6 + 0 + 0*w - 1/336*w**8 + 0*w**4 + 0*w**3 - 1/70*w**7. Factor j(b).
-b**2*(b + 1)**3
Let l(d) be the first derivative of 3*d**5/5 + 3*d**4/16 - 6. Let l(v) = 0. Calculate v.
-1/4, 0
Let v(y) be the second derivative of y**8/3360 - y**7/1680 - y**6/720 + y**5/240 - y**3/2 + y. Let x(g) be the second derivative of v(g). Solve x(k) = 0 for k.
-1, 0, 1
Let l(o) = 3*o**2 - 1. Let h be l(-1). Suppose 8*n**3 - 3*n**2 + 11*n**2 - 24*n**4 + h*n**2 - 4*n = 0. Calculate n.
-2/3, 0, 1/2
Let i(s) be the third derivative of 1/300*s**6 - 1/15*s**3 + 0*s + 7/120*s**4 + 2*s**2 + 0 - 7/300*s**5. Factor i(k).
(k - 2)*(k - 1)*(2*k - 1)/5
Let j(a) be the second derivative of 2*a**2 - 1/6*a**4 + 0 - 2*a + 1/3*a**3. Factor j(y).
-2*(y - 2)*(y + 1)
Let d(c) = c**3 - 20*c**2 + 18*c + 22. Let h be d(19). Suppose 2*w**h - 55/3*w**4 - 25/3*w**5 - 8/3*w + 0 + 28/3*w**2 = 0. Calculate w.
-2, -1, 0, 2/5
Let i(q) be the first derivative of 5*q**3/3 - 2*q**2 - 7. Let f(p) = 16*p**2 - 12*p. Let y(o) = 3*f(o) - 10*i(o). Determine g, given that y(g) = 0.
0, 2
Let j(p) be the third derivative of p**6/60 + 3*p**5/40 + p**4/8 - p**3/6 + p**2. Let a(c) be the first derivative of j(c). What is y in a(y) = 0?
-1, -1/2
Factor 2/15*z**3 + 8/15*z**2 + 2/3*z + 4/15.
2*(z + 1)**2*(z + 2)/15
Let r = -18 - -30. Let s be (r/(-14))/((-81)/126). Factor -14/3*i - s*i**2 + 14/3*i**3 + 4/3.
2*(i - 1)*(i + 1)*(7*i - 2)/3
Suppose -z + 4*u + 20 = 0, -7*u - 10 = -5*u. Factor z*h**3 - 2/3*h**2 + 0 + 2/3*h**4 + 1/3*h - 1/3*h**5.
-h*(h - 1)**3*(h + 1)/3
Let r(x) be the third derivative of 0*x**3 + 2*x**2 + 0*x**4 - 1/300*x**5 + 1/300*x**6 + 0*x - 1/1050*x**7 + 0. Factor r(d).
-d**2*(d - 1)**2/5
Let r(x) be the first derivative of -x**5/20 + x**4/3 - 5*x**3/6 + x**2 + 5*x - 3. Let m(w) be the first derivative of r(w). Find z such that m(z) = 0.
1, 2
What is s in -47*s**5 + 152*s**5 - 3*s**2 - 7*s**2 - 5*s**3 + 110*s**4 = 0?
-1, -1/3, 0, 2/7
Let z(g) be the first derivative of -4*g**3/3 + 6*g**2 - 8*g + 18. Determine s, given that z(s) = 0.
1, 2
Let t(d) = -3*d**3 + 3*d**2 + 3*d + 6. Let h(v) = -1. Suppose 0 = 5*l + 6 - 11. Let w(o) = l*t(o) + 9*h(o). Factor w(q).
-3*(q - 1)**2*(q + 1)
Let y(b) be the first derivative of -b**6/2 + 12*b**5/5 - 15*b**4/4 + 2*b**3 - 12. Factor y(s).
-3*s**2*(s - 2)*(s - 1)**2
Suppose 3*h - u = 2*h + 2, 10 = 5*u. Let z be -4 + (17 - 1)/h. Factor -4/7*r**2 + z + 0*r**3 + 2/7*r - 2/7*r**5 + 4/7*r**4.
-2*r*(r - 1)**3*(r + 1)/7
Let s(w) be the third derivative of -w**6/360 - w**5/60 - w**4/24 + w**3/6 + 3*w**2. Let i(o) be the first derivative of s(o). Factor i(m).
-(m + 1)**2
Let u(r) = -r**3 + r**2 + 2*r + 2. Let q be u(0). Let g be -1 + (10 + -2)/q. Let 1/5*j**g + 0 + 0*j + 0*j**2 = 0. Calculate j.
0
Let h(t) be the third derivative of -1/96*t**6 - 1/120*t**5 + 0*t**3 + 0*t - 1/280*t**7 + 0 - 2*t**2 + 0*t**4. Factor h(z).
-z**2*(z + 1)*(3*z + 2)/4
Suppose -4 = -4*r - 4*f, f = -r - 3*r + 1. Suppose v = 2*o - 2, -3*o = 4*v - v - 3. Factor 2/9*x**5 + 2/9*x**2 - 2/9*x**4 - 2/9*x**3 + v + r*x.
2*x**2*(x - 1)**2*(x + 1)/9
Let j(n) = 4*n**5 + 3*n**4 - 4*n**3 - 3. Let o(a) = -a**4 + 2*a**3 - a**3 - 5*a**5 + 4 - 3*a**4 + 4*a**3. Let t(w) = 4*j(w) + 3*o(w). Find g such that t(g) = 0.
-1, 0, 1
Let w(x) be the third derivative of -x**7/1260 + x**6/120 - x**5/30 - x**4/6 + 3*x**2. Let n(o) be the second derivative of w(o). Let n(a) = 0. What is a?
1, 2
Suppose 4*a + 0*o + 2*o = -6, 15 = -a - 5*o. Factor 0 - 9/2*y**3 + a*y - 5/2*y**5 + y**2 + 6*y**4.
-y**2*(y - 1)**2*(5*y - 2)/2
Let x(g) be the third derivative of g**7/560 + g**6/320 + 18*g**2. What is c in x(c) = 0?
-1, 0
Let v(b) be the second derivative of -2*b**6/15 + 4*b**5/5 + b**4/3 - 32*b**3/3 + 24*b**2 - b. Suppose v(l) = 0. Calculate l.
-2, 1, 2, 3
What is d in -2/11*d**3 - 448/11*d + 58/11*d**2 + 392/11 = 0?
1, 14
Let i(m) be the first derivative of 3*m**3 + 9/2*m**2 + 2 + 3/4*m**4 + 3*m. Factor i(w).
3*(w + 1)**3
Let s(t) = -3*t**2 - t. Let q(w) = -13*w**2 - 5*w. Let v(d) = -d - 1. Let k be v(-3). Let p(h) = k*q(h) - 9*s(h). Determine z, given that p(z) = 0.
0,