a**3/6 - 5*a. Let m(q) be the second derivative of r(q). Determine s so that m(s) = 0.
0, 1
Let o be 3 + (-2)/12*(-138)/(-9). Suppose o*l + 0 - 2/3*l**3 - 2/9*l**2 = 0. Calculate l.
-1, 0, 2/3
Let y(o) be the second derivative of 4*o**6/315 + 2*o**5/105 + o**4/84 + o**3/2 + 5*o. Let x(z) be the second derivative of y(z). Suppose x(q) = 0. Calculate q.
-1/4
Let o(r) = -r**5 + 2*r**4 + 2*r**3 - 4*r**2 - r - 4. Let l(u) = -u**5 + 3*u**4 + 3*u**3 - 5*u**2 - 2*u - 5. Let j(w) = 6*l(w) - 7*o(w). Factor j(n).
(n - 1)*(n + 1)**3*(n + 2)
Determine b so that -1/2*b**2 - 1/4*b**5 + 1/2*b**4 + 0*b + 1/4*b**3 + 0 = 0.
-1, 0, 1, 2
Suppose 20*m = 25*m - 10. Factor 3*p + 3/2 + 3/2*p**m.
3*(p + 1)**2/2
Let c = 91/20 - 15/4. Suppose 4*b + 0*g - 20 = g, -5*b = 5*g. Determine v so that 4/5*v - 2*v**2 - c*v**3 + 0 + 2*v**b = 0.
-1, 0, 2/5, 1
Let z(l) be the first derivative of 2*l**5 - 17*l**4/2 + 14*l**3 - 11*l**2 + 4*l - 4. Solve z(y) = 0.
2/5, 1
Let a(t) be the third derivative of -t**8/672 - t**7/35 - 23*t**6/120 - t**5/2 - 25*t**4/48 + 47*t**2. Solve a(s) = 0.
-5, -1, 0
Let j(a) be the second derivative of 0 - 1/2*a**2 + 1/12*a**4 - 7/12*a**3 + 7/40*a**5 + a. Find z, given that j(z) = 0.
-1, -2/7, 1
Let l(x) be the third derivative of -x**5/75 - x**4/24 - x**3/30 - 9*x**2. Determine y, given that l(y) = 0.
-1, -1/4
Factor 0 + 0*k - 9/8*k**2 - 3/8*k**4 - 3/2*k**3.
-3*k**2*(k + 1)*(k + 3)/8
Find a such that -25 - 3*a**2 + 4*a + 2*a + 22 = 0.
1
Let u(a) be the third derivative of -a**5/60 - 11*a**4/24 - 7*a**3/6 - 4*a**2. Let n be u(-10). Let 0 - 2/5*r**n + 4/5*r**2 - 2/5*r = 0. Calculate r.
0, 1
Suppose s - 12 = -5*s. Factor 0*c**s + 2/3 + 4/3*c - 4/3*c**3 - 2/3*c**4.
-2*(c - 1)*(c + 1)**3/3
Let t be ((-2)/(-4))/(7/56). Let f(y) be the first derivative of -1/4*y - 7/8*y**2 - 2/3*y**3 + 2 + y**t. What is b in f(b) = 0?
-1/4, 1
Let h(y) be the second derivative of 0 - 2/33*y**3 + 1/11*y**2 - 6*y + 1/66*y**4. Factor h(j).
2*(j - 1)**2/11
Let f(t) = -t + 10. Let v be f(6). Suppose -4 = -2*y - 0*y. Factor 6*w - w - 4*w**y - v*w + w + 2.
-2*(w - 1)*(2*w + 1)
Let i(o) be the third derivative of -o**6/8 - 33*o**5/20 - 2*o**4 + 6*o**3 - 34*o**2. Solve i(x) = 0 for x.
-6, -1, 2/5
Let h(b) = -2*b + 4. Let y be h(-7). Let l be y/81 - (-92)/18. Factor l*n - 2/3*n**4 + 4*n**3 - 8*n**2 + 0.
-2*n*(n - 2)**3/3
Let u(g) be the third derivative of -g**9/90720 + g**8/7560 - g**7/1512 + g**6/540 - 3*g**5/20 + g**2. Let r(p) be the third derivative of u(p). Factor r(d).
-2*(d - 2)*(d - 1)**2/3
Let m(n) be the first derivative of 0*n**2 - 1/80*n**5 - 1/48*n**4 - 3*n + 3 + 0*n**3. Let x(d) be the first derivative of m(d). Factor x(z).
-z**2*(z + 1)/4
Suppose -5*x + 7 = -x + y, 5*x - 3*y = 30. Factor -8*q**3 + q**2 + x*q**2 + 2 + 2*q**4 - 8*q + 8*q**2.
2*(q - 1)**4
Let t(x) = x**2 - x. Suppose -5*s + 4*q = -0*q, 0 = 5*s + 5*q. Let i be t(s). Factor 1/5*d + i + 1/5*d**3 + 2/5*d**2.
d*(d + 1)**2/5
Factor 250/13 - 150/13*w + 30/13*w**2 - 2/13*w**3.
-2*(w - 5)**3/13
Let z(t) = 7*t**2 - 4*t + 2. Let k = -3 + 8. Let x(q) = -3*q**2 + 2*q - 1. Let m(p) = k*x(p) + 2*z(p). Factor m(w).
-(w - 1)**2
Suppose 3*m + 2*m - 25 = 0. Suppose 0 = -v - 3 + m. Factor -f**v + f**2 - 2*f**2.
-2*f**2
Let n(y) be the third derivative of -1/4*y**5 + 0 + 5*y**2 + 3/40*y**6 + 2/35*y**7 + 0*y - 3/8*y**4 + 1/2*y**3. Factor n(c).
3*(c - 1)*(c + 1)**2*(4*c - 1)
Suppose -7*p - 2 = -16. Find g such that 0 - 2/9*g**p - 2/9*g**4 - 4/9*g**3 + 0*g = 0.
-1, 0
Suppose -t + 3 = 3*n, 4*t = -0*n + n - 1. Let c be -1*n/3*-51. Solve c*l**3 - 5*l**3 + 2*l - 13*l**2 + 27*l**4 + 0*l = 0.
-1, 0, 2/9, 1/3
Suppose -4*a = 159 - 447. Determine o so that 2*o**4 + o**4 + 30*o**5 + a*o**2 - 2*o**3 - 16*o - 82*o**3 - 5*o**4 = 0.
-2, 0, 2/5, 2/3, 1
Let t(i) be the third derivative of i**9/120960 - i**8/40320 + 3*i**5/20 - i**2. Let r(s) be the third derivative of t(s). Factor r(u).
u**2*(u - 1)/2
Let k(n) be the first derivative of 1 + 0*n + 0*n**2 + 2/3*n**3 + 2/5*n**5 + n**4. Factor k(f).
2*f**2*(f + 1)**2
Factor -8*g**3 + 17*g**2 + 2*g**5 + 0*g**5 + 4 + 6*g - 21*g**2 + 0*g**5.
2*(g - 2)*(g - 1)*(g + 1)**3
Let 51*i + 36 - 7 + 3*i**3 + 24*i**2 + 1 = 0. Calculate i.
-5, -2, -1
Let r = 1/649 + 1293/3245. Suppose 2/15*s**5 - 2/5*s**4 + r*s**3 + 0*s - 2/15*s**2 + 0 = 0. Calculate s.
0, 1
Let j = -2 - -7. Factor 3*h - 3*h + h**4 - h**j - 2*h**4.
-h**4*(h + 1)
Solve -26/3*u**3 + 0 - 8/3*u - 2/3*u**5 - 8*u**2 - 4*u**4 = 0.
-2, -1, 0
Let h be (-10)/(-3) - 6/(-9). Let l(o) = -h*o**2 + 2*o**2 + 5*o + 3 - 4*o. Let y(t) = 5*t**2 - 2*t - 7. Let v(m) = 14*l(m) + 6*y(m). Let v(p) = 0. What is p?
-1, 0
Let v(l) be the second derivative of 3/4*l**2 - 3/8*l**3 + 0 - 3*l - 5/16*l**4. Find u, given that v(u) = 0.
-1, 2/5
Suppose 0 = 2*q + 1 - 5. Let 4*o**3 - o**q + 2*o**4 + 0*o**4 - 8*o - 5*o**2 + 8 = 0. What is o?
-2, 1
Let y(d) = -2*d**4 + d**3 + 3*d**2 + 10*d + 1. Let p(b) = -2*b**4 + 2*b**3 + 2*b**2 + 10*b. Let l = 4 + -7. Let a(o) = l*p(o) + 4*y(o). Factor a(h).
-2*(h - 2)*(h + 1)**3
Suppose 6 = 2*t - 2, -4*z - 52 = -3*t. Let q be 28/z*(-55)/88. Let -q*b**2 + 3*b**3 + 1/2 - 7/4*b = 0. Calculate b.
-2/3, 1/4, 1
Factor -2/3*h**2 + 0 + 1/3*h**4 + 0*h - 1/3*h**3.
h**2*(h - 2)*(h + 1)/3
Let z be (-1 - -7)/(0 + (-6)/(-3)). Suppose 3/5*f**2 + 4/5*f**z - 4/5*f + 1/5*f**4 - 4/5 = 0. What is f?
-2, -1, 1
Let o(u) = u. Let s be o(0). Suppose s = -k - k + 8. Determine n, given that -3*n**5 + 4*n**k + n**5 - 4*n**5 - 2*n**3 + 4*n**5 = 0.
0, 1
Let i be 14/77 - 18/(-22). Let v be ((-4)/(-10))/(4/20). Factor -3 + 6*p - 3*p**2 - i + p**v.
-2*(p - 2)*(p - 1)
Let r(y) = 4 + 4 - 5 - y + 1. Let o be r(2). Factor v**o + 2 - 2*v**2 - v**2.
-2*(v - 1)*(v + 1)
Let g = -59 + 181/3. Suppose 0 = -4*k - 5*c, 4*k = -k - 3*c. Find p such that k - 2/3*p**5 - 2/3*p + g*p**3 + 0*p**4 + 0*p**2 = 0.
-1, 0, 1
Let q(x) be the second derivative of 3*x**7/140 - 9*x**6/100 + x**5/10 - x**4/30 + 2*x + 16. Suppose q(d) = 0. What is d?
0, 1/3, 2/3, 2
Factor 0*m - 8/3*m**2 + 0 - 12*m**3 - 10*m**4 + 25/3*m**5.
m**2*(m - 2)*(5*m + 2)**2/3
Let g(z) = -3*z - 15. Let l be g(-6). Suppose -3*i - 5 = -l*t + 2*i, -13 = -t - 4*i. Factor 0*k**4 + 1/2*k**t + 0 + 0*k - 1/2*k**3 + 0*k**2.
k**3*(k - 1)*(k + 1)/2
Let b = 67 - 62. Let i(q) be the first derivative of -1 + 1/10*q**b - q - 1/2*q**3 - 5/4*q**2 + 1/8*q**4. Solve i(a) = 0.
-1, 2
Factor 10*b**4 - 2*b**2 - 4*b**2 + 14*b**3 - 138 - 14*b + 134.
2*(b - 1)*(b + 1)**2*(5*b + 2)
Let x(h) be the first derivative of 0*h**2 + 2/45*h**5 + 0*h + 0*h**3 - 5 + 1/18*h**4. Factor x(m).
2*m**3*(m + 1)/9
Factor u**4 - 3 - 3*u**2 + 10 - 7*u - 5 + 12*u**2 - 5*u**3.
(u - 2)*(u - 1)**3
Let a be (8/(-28))/(3/(-42)). Determine t, given that 7/2*t**a + 1 - 13/2*t + 27/2*t**2 - 23/2*t**3 = 0.
2/7, 1
Let b(r) be the first derivative of r**8/6720 - r**7/1120 + r**6/480 - r**5/480 - r**3/3 - 1. Let p(d) be the third derivative of b(d). Solve p(a) = 0.
0, 1
Factor -6*k**3 + 81/2 - 54*k + 27*k**2 + 1/2*k**4.
(k - 3)**4/2
Factor 3*v**2 + v**2 + 8*v + 4*v.
4*v*(v + 3)
Suppose 3*i + 9 = -0*i - 5*a, 3*a = -4*i - 12. Let m = i + 6. Solve -c**3 + 4*c**2 + 2*c**m - 3*c**2 = 0 for c.
-1, 0
Let r = 824 - 821. Let -3*n**2 + 3/2*n**4 - r*n**3 + 3/2 + 3/2*n + 3/2*n**5 = 0. What is n?
-1, 1
Suppose 2*k - 3*i = 6*k - 20, 10 = 2*k + 5*i. Let -2*z**2 + z**5 + 2*z**k + 2*z**3 + 2*z**4 - 5*z**5 = 0. What is z?
-1, 0, 1
Suppose -u = 4*c + 2*u - 23, 0 = 2*c - 5*u + 21. Let k be (c/(-3))/((-2)/12). Factor 3 - 5 + k - 2*t**2.
-2*(t - 1)*(t + 1)
Let z(h) be the third derivative of -h**5/80 + h**3/8 - 6*h**2. Find m such that z(m) = 0.
-1, 1
Factor -17014 - 6*b + 17014 - 12*b**3 - 15*b**2 - 3*b**4.
-3*b*(b + 1)**2*(b + 2)
Let m(c) = -5*c**3 + 5*c - 4. Let t(d) = 6*d**3 - 6*d + 5. Let z(f) = -5*m(f) - 4*t(f). Factor z(l).
l*(l - 1)*(l + 1)
Let z(u) = 2*u**2 + 27*u + 15. Let o be z(-13). Find s such that -1/6 - 1/6*s**4 + 0*s + 1/3*s**o + 0*s**3 = 0.
-1, 1
Let a(n) = n**2 - n - 1. Let l(v) = 12*v**2 - 38*v + 88. Let c(d) = -10*a(d) + l(d). Factor c(k).
2*(k - 7)**2
Let c(i) = -i**2 + 4*i + 5. Let l be c(5). Let j = 2225/9 - 247. Factor l*r + 0 + j*r**4 - 2/9*r**3 + 0*r**2.
2*r**3*(r - 1)/9
Let g = -3 - -5. Let i(p) = -p**2 - 6*p - 3. Let d be i(-5). Suppose 0*c**g - 8*c**4 + 2*c**d + 6*c**4 = 0. What is c?
-1