96*v**4 + 0*v**3. Factor z(j).
j*(j + 1)/4
Let p(o) be the first derivative of o**6/15 + o**5/15 + o + 1. Let n(u) be the first derivative of p(u). Factor n(a).
2*a**3*(3*a + 2)/3
Solve 6*k**2 - 4 - 8*k**3 + 19*k + 4*k**4 - 11*k - 6*k**2 = 0 for k.
-1, 1
Let d = 22 + -20. Let o = d + 3. What is m in 2/7*m**2 + 2/7*m**o + 0*m - 2/7*m**3 - 2/7*m**4 + 0 = 0?
-1, 0, 1
Suppose f - 4*f = 0. Suppose f*y - 2 = -y. Factor -y*k**5 - 4/7 - 100/7*k**3 - 80/7*k**2 - 60/7*k**4 - 30/7*k.
-2*(k + 1)**4*(7*k + 2)/7
Factor -5/3*k**3 - 4/3 - 17/3*k**2 - 16/3*k.
-(k + 1)*(k + 2)*(5*k + 2)/3
Let o = 1189 + -1187. Factor 4/5*b**4 - 8/5*b**3 + 16/5*b + 16/5 - 12/5*b**o.
4*(b - 2)**2*(b + 1)**2/5
Let q(d) = d**3 - 6*d**2 - 13*d - 24. Let o be q(8). Let l = 6 + -3. Determine m, given that -3/5*m**2 + o + 3/5*m**l - 6/5*m = 0.
-1, 0, 2
Suppose -2*i + 2*d + 23 - 9 = 0, 2*i = 3*d + 18. Factor -1/3*c**2 - 1/3*c**i + 0 + 2/3*c.
-c*(c - 1)*(c + 2)/3
Let 0*k - 3*k**5 + 0 + 2*k**2 + 23/3*k**3 - 20/3*k**4 = 0. What is k?
-3, -2/9, 0, 1
Let n be -2 - ((-3)/5)/((-8)/(-32)). Determine l, given that -2/5 - n*l**2 - 4/5*l = 0.
-1
Let k(l) be the second derivative of -l**5/10 + 7*l**4/6 - 8*l**3/3 - 16*l**2 - 2*l - 14. Factor k(i).
-2*(i - 4)**2*(i + 1)
Let d(s) be the first derivative of -1/3*s**3 - 1/8*s**4 - 3 + 0*s**2 + 0*s. Factor d(c).
-c**2*(c + 2)/2
Let g(c) = -c. Let q(k) = 2*k**2 - 10*k. Let m = 7 + -15. Let r(t) = m*g(t) + q(t). Factor r(w).
2*w*(w - 1)
Let j be (-138)/(-315) + 10/75. Factor 1/7*f**2 + j + 4/7*f.
(f + 2)**2/7
Suppose 7*y + 3*a - 1 = 2*y, 2*y - 3*a + 8 = 0. Let i(o) = -o**3 - o**2 - o. Let s(f) = 6*f**3 + 2*f**2 + 2*f + 2. Let x(u) = y*s(u) - 4*i(u). Factor x(b).
-2*(b - 1)**2*(b + 1)
Let y = 10 - 38. Let o be 14/y + 3/4. Let 1/2*h**3 + 1/2*h**5 - h + o + h**2 - 5/4*h**4 = 0. What is h?
-1, 1/2, 1
Let b be 1/(3/(-2)) + 32/12. Solve 0*z + 1/3*z**b - 1/3 = 0 for z.
-1, 1
Let m = -7/68 - -127/1564. Let o = m - -12/23. Factor 0 - 1/2*s**3 + 0*s + o*s**2.
-s**2*(s - 1)/2
Let z be 1/((-10)/25)*(-8)/10. Suppose 0 - 1/3*n**z - 1/3*n = 0. What is n?
-1, 0
Factor 3/4*k**3 + 0 - 3/4*k + 0*k**2.
3*k*(k - 1)*(k + 1)/4
Let j(d) be the third derivative of -d**9/120960 - d**5/60 + 3*d**2. Let n(b) be the third derivative of j(b). Factor n(r).
-r**3/2
Let c = 1 - -4. Solve -6*f**2 + 2*f**5 + 6*f**3 + 4*f**2 - c*f**4 - f**4 = 0 for f.
0, 1
Let d(c) be the second derivative of 25*c**7/168 - 7*c**6/12 + 69*c**5/80 - 7*c**4/12 + c**3/6 - 3*c. Factor d(y).
y*(y - 1)**2*(5*y - 2)**2/4
Let s(w) be the first derivative of w**4/2 - 4*w**3/3 + w**2 + 10. Factor s(h).
2*h*(h - 1)**2
Let x(s) be the second derivative of -s**6/540 - s**5/180 + s**4/18 + s**3/3 - s. Let b(q) be the second derivative of x(q). Let b(z) = 0. Calculate z.
-2, 1
Let n(m) be the first derivative of -m**6/2 + 3*m**5/5 + 3*m**4/2 - 2*m**3 - 3*m**2/2 + 3*m + 9. Determine a so that n(a) = 0.
-1, 1
Factor 0*p**4 + 0*p**3 + 0*p - 3/2*p**5 + 0*p**2 + 0.
-3*p**5/2
Suppose 12 = -0*u + 4*u. Let y(r) be the first derivative of 1/5*r**2 - 2 - 2/3*r**u + 2/5*r**4 + 0*r. Factor y(m).
2*m*(m - 1)*(4*m - 1)/5
Determine w, given that -8*w + 8/9 + 18*w**2 = 0.
2/9
Let r(h) be the second derivative of 7*h - 3/4*h**2 - 3/40*h**5 - 3/4*h**3 + 0 - 3/8*h**4. Factor r(t).
-3*(t + 1)**3/2
Suppose 0*p + 3 = p. Suppose -p*c + 1 = -5. Factor -3*b**3 - b**2 - 8*b**3 - b**c + 13*b**3.
2*b**2*(b - 1)
Let z be 2/6 - (-77)/21. Let g(i) = i**4 - i**3 - i. Let b(o) = o**4 - o**3 + 3*o**2 - 7*o. Let a(p) = z*g(p) - b(p). Factor a(v).
3*v*(v - 1)**2*(v + 1)
Let o(c) be the second derivative of -6*c + 0*c**2 - 1/3*c**4 + 2/5*c**5 + 0 - 2/15*c**6 + 0*c**3. Determine a, given that o(a) = 0.
0, 1
Let m be 3/5 - 36/(-15). Let v(n) be the first derivative of 3*n**2 + 2/3*n**m - 1 + 4*n. Factor v(y).
2*(y + 1)*(y + 2)
Let j be (-12)/7*(5 - 19). Factor -18*o**3 - 5*o**5 - 4*o**5 + o - j*o**4 + 2*o.
-3*o*(o + 1)**3*(3*o - 1)
Let b(u) be the first derivative of -u**5/10 + 5*u**4/2 - 25*u**3 + 125*u**2 - 625*u/2 + 13. Let b(y) = 0. Calculate y.
5
Factor -12/7*z**2 - 4/7*z**4 + 0 + 4/7*z + 12/7*z**3.
-4*z*(z - 1)**3/7
Let q(g) = 9*g**2 - 13*g - 1. Let h(t) = 14*t**2 - 20*t - 2. Let j = 5 - 2. Suppose 5*v = -j*l - 15, 3*l + v = l - 10. Let z(x) = l*h(x) + 8*q(x). Factor z(s).
2*(s - 1)**2
Let i(h) = h + 5. Let o be i(-10). Let l = 5 - 3. Let j(b) = b**3 + 6*b**2 + b. Let t(x) = x**3 + 13*x**2 + 2*x. Let z(p) = l*t(p) + o*j(p). Factor z(k).
-k*(k + 1)*(3*k + 1)
Let c(o) = o**2 + 3*o + 0*o**2 + 0*o. Let j be c(-4). Factor 5*p - j*p - 2*p + 2*p**2 + 2 + 5*p.
2*(p + 1)**2
Suppose -4*s + 3 = -3*s. Factor 4*l + 8*l**2 - 3*l**2 - s*l**2 + 4*l**2 + 2*l**3.
2*l*(l + 1)*(l + 2)
Factor 5 + 1 - 7*i**4 - 2 - 8*i**2 + 11*i**4.
4*(i - 1)**2*(i + 1)**2
Let q(v) be the second derivative of v**6/105 - 16*v**5/35 + 128*v**4/21 - 53*v. Factor q(k).
2*k**2*(k - 16)**2/7
Let z(c) be the third derivative of -c**9/5040 + c**7/840 + c**4/8 - 4*c**2. Let r(b) be the second derivative of z(b). Suppose r(a) = 0. Calculate a.
-1, 0, 1
Let j be (-3)/((-33)/(-12) - 2). Let a(f) = -f**4 + f**3 - f**2 - f + 1. Let q(r) = -10*r**4 + 2*r**2 + 4. Let t(z) = j*a(z) + q(z). Factor t(u).
-2*u*(u - 1)*(u + 1)*(3*u + 2)
Let c(w) = w**3 + 2*w**2 + w + 4. Let b(y) = -2*y**3 - 3*y**2 - 2*y - 7. Let v(k) = 4*b(k) + 7*c(k). Factor v(t).
-t*(t - 1)**2
Let h(o) = 8*o**3 - 11*o**2 - 8*o + 1. Let b(q) = -7*q**3 + 10*q**2 + 7*q - 2. Suppose -x = -2*x - 4. Let d(s) = x*h(s) - 5*b(s). Factor d(t).
3*(t - 2)*(t - 1)*(t + 1)
Let b(d) = 15*d**5 - 28*d**4 + 13*d**3 + 17*d**2 + 17*d + 17. Let t(m) = 5*m**5 - 9*m**4 + 4*m**3 + 6*m**2 + 6*m + 6. Let k(g) = 6*b(g) - 17*t(g). Factor k(n).
5*n**3*(n - 2)*(n - 1)
Let z be 0/(16/(-9) - (-10)/(-45)). Factor 5/2*c**2 + c - 5/2*c**4 - c**3 + z.
-c*(c - 1)*(c + 1)*(5*c + 2)/2
Let o be (3/(-12))/((-4)/16). Let p be o + 25/20 + -2. Suppose 9/4 + 3/2*c + p*c**2 = 0. Calculate c.
-3
Solve -4/7*v + 0 + 16/7*v**4 - 12/7*v**2 + 0*v**3 = 0.
-1/2, 0, 1
Suppose -22*y + 6 = -82. Factor 1/2*f**3 - 1/2*f - 1/4*f**2 + 0 + 1/4*f**y.
f*(f - 1)*(f + 1)*(f + 2)/4
Let t(y) = y**2 - 4*y - 5. Let f be t(7). Find b such that f*b**5 - 10*b**5 + 2*b**4 - b**3 - 3*b**3 = 0.
-1, 0, 2/3
Let m(l) be the first derivative of -l**3/12 + 5*l**2/4 + 11*l/4 + 65. Find c such that m(c) = 0.
-1, 11
Let j(i) = 2*i**2 - 12*i - 4. Let w(t) = -t**2. Let z(a) = -4*j(a) + 20*w(a). Factor z(f).
-4*(f - 2)*(7*f + 2)
Let 12 - 5*n + 6*n**3 + 3*n**4 - n**2 - 8*n**2 - 7*n = 0. Calculate n.
-2, 1
Let v(p) = -8*p + p**3 + 6*p**2 - 2*p**3 + 2*p**3 - 7. Let u be v(-7). Factor 11*m**2 + u*m**4 - 4*m + 19*m**3 + 3*m**5 + 6*m + 13*m**4.
m*(m + 1)**2*(m + 2)*(3*m + 1)
Let d(k) = 1. Let o(x) = -8*x**3 - 14*x**2 + 4*x - 2. Let a(b) = -2*d(b) - o(b). Let a(u) = 0. Calculate u.
-2, 0, 1/4
Let k(t) be the third derivative of 0 + 2*t**2 + 1/20*t**5 + 0*t + 1/8*t**4 + 0*t**3. Determine r so that k(r) = 0.
-1, 0
Let g(o) be the third derivative of -o**11/55440 - o**10/18900 - o**9/30240 + o**5/60 + 3*o**2. Let i(k) be the third derivative of g(k). Factor i(b).
-2*b**3*(b + 1)*(3*b + 1)
Let z(d) be the third derivative of -d**5/150 + d**4/15 - 4*d**3/15 + 5*d**2. Suppose z(c) = 0. Calculate c.
2
Let k(g) be the first derivative of -4 + 2/5*g**5 + 0*g**2 + 8/3*g**3 + 0*g + 2*g**4. Let k(i) = 0. What is i?
-2, 0
Let q(t) be the first derivative of t**6/540 - 2*t**5/135 + t**4/36 + 3*t**2 + 9. Let f(s) be the second derivative of q(s). Factor f(d).
2*d*(d - 3)*(d - 1)/9
Let t be (-4)/(-26) + 280/(-130). Let d be t - (0 - (-80)/(-28)). Solve 12/7*j**3 + 0*j**2 + 0 + d*j**5 - 16/7*j**4 - 2/7*j = 0 for j.
-1/3, 0, 1
Let g(p) be the third derivative of -p**10/37800 - p**9/30240 + p**8/5040 + p**7/2520 - p**5/60 - 2*p**2. Let j(n) be the third derivative of g(n). Factor j(f).
-2*f*(f - 1)*(f + 1)*(2*f + 1)
Suppose 3*f = -2*f + 200. Let i be 2/(-5) - (-26)/f. Let i*k**3 - 1/4 + 3/4*k - 3/4*k**2 = 0. Calculate k.
1
Suppose 2*o = -60 + 60. Determine z so that 0 - 1/4*z**2 - 1/4*z**5 + 1/4*z**3 + 1/4*z**4 + o*z = 0.
-1, 0, 1
Suppose 0*l = -2*l + 6. Let g(i) be the second derivative of 0 + 0*i**2 - 3*i + 0*i**l - 1/24*i**4. Determine w so that g(w) = 0.
0
Let a be (-2 + 0)*(-16)/4. Let u + 3*u - a*u + 2*u**2 = 0. What is u?
0, 2
Let s(t) be the fi