 = 0.
-1, -1/4
Let y be -7 + 0/(2 - 3). Let w(z) = z + 12. Let l be w(y). Factor 19*i**3 - 2 - 2*i + 15*i**2 + 7*i**4 + l*i - 2*i.
(i + 1)**3*(7*i - 2)
Let o be (-30)/12*4/(-5). Factor 7*b**4 + 9*b**3 - 3*b**3 + 2*b**2 + o*b**5 + 0*b**5 - b**4.
2*b**2*(b + 1)**3
Let v be (-2 + 1 - -6)/(190/76). Solve -1/2*d**2 - 3/2 + v*d = 0 for d.
1, 3
Let -3/2 + 39/2*o**4 + 12*o**2 - 3/4*o + 21/4*o**5 + 51/2*o**3 = 0. Calculate o.
-1, 2/7
Factor -6/7*f**2 + 4/7 + 10/7*f.
-2*(f - 2)*(3*f + 1)/7
Let t(y) be the third derivative of y**7/1260 - y**6/90 + y**5/15 - 2*y**4/9 + 4*y**3/9 - 6*y**2. Determine f so that t(f) = 0.
2
Let n be (34/51)/(2 + (-10)/6). Factor 4/5*j**n - 2/5*j + 0 - 2/5*j**3.
-2*j*(j - 1)**2/5
Let x be (3/2)/(6/4). Let k(n) = 7*n**3 - 8*n + 4*n**4 - 18*n**4 + 15*n**2 - 2*n**4. Let q(v) = v**3 + 1. Let w(b) = x*k(b) + q(b). Factor w(j).
-(j - 1)*(j + 1)*(4*j - 1)**2
Suppose 26 = -a + 5*z, 14 = -2*a - 2*a + 2*z. Let w = a - -4. Factor -2/3*m**4 + 0*m + 0 - 2/3*m**2 + 4/3*m**w.
-2*m**2*(m - 1)**2/3
Let w(p) be the third derivative of -p**6/720 + p**5/360 + 7*p**2. Solve w(m) = 0 for m.
0, 1
Factor 126*c**3 + 7*c**4 + 26*c**4 + 3*c**5 + 10*c**2 + 96*c + 182*c**2.
3*c*(c + 1)*(c + 2)*(c + 4)**2
Let k be 0/(-1) + 1 + 4. Suppose -3*o + 9 = -6. Factor -t**3 + 2*t**3 - 5*t**o + 4*t**k.
-t**3*(t - 1)*(t + 1)
Let 9*l**2 - 23*l**2 - 11 - 70 + 18*l + 13*l**2 = 0. What is l?
9
Let g(w) = -w + 8. Let s = -6 - -10. Let c be g(s). Factor 0*p**3 + 2/5*p**c - 2/5*p**2 + 0*p + 0.
2*p**2*(p - 1)*(p + 1)/5
Let h(l) be the first derivative of -2*l**5/35 + 2*l**3/21 + 5. Determine x so that h(x) = 0.
-1, 0, 1
Let n(o) be the third derivative of -2*o**7/105 + o**6/15 + o**5/5 + 8*o**2. Solve n(y) = 0.
-1, 0, 3
Suppose 3*u - 10*u = -14. Let 0 + 2/9*a**4 + 0*a**3 - 2/9*a**u + 0*a = 0. Calculate a.
-1, 0, 1
Let h(i) be the second derivative of -i**5/25 - i**4/5 + 4*i**3/5 + 16*i**2/5 - 65*i. What is p in h(p) = 0?
-4, -1, 2
Let t(f) be the first derivative of f**5/90 + f**4/6 + f**3 + f**2 + 8. Let o(x) be the second derivative of t(x). Factor o(j).
2*(j + 3)**2/3
Let q(x) be the first derivative of 4*x**4 - 20*x**3/3 + 2*x**2 - 18. Factor q(z).
4*z*(z - 1)*(4*z - 1)
Let w be 1 - (0 + 1) - -2. Factor n**w - 3*n**5 + 3*n**3 - n**2.
-3*n**3*(n - 1)*(n + 1)
Suppose 10 = -0*i + 2*i. Suppose -3*q**4 - 9*q**4 + q**i + 8*q**5 + 4*q**3 = 0. What is q?
0, 2/3
Suppose -2*b - 3*q - 4 - 1 = 0, b + 3*q - 2 = 0. Let p be 3 - (-4 - b) - -2. Suppose 4/7*o**3 + 0*o**p + 0 + 2/7*o**4 + 0*o = 0. What is o?
-2, 0
Suppose -5*i = 4*d + 1, -d - 4*d = 5*i + 5. Suppose -w = i*w. Factor -2*q**4 + w*q**2 - 2*q**2 - 3*q**4 - 4*q**3 + q**2 - 2*q**5.
-q**2*(q + 1)**2*(2*q + 1)
Let p = 4 + -1. Suppose 0*s = s. Factor 0 - 2/3*u**p + 2/3*u + s*u**2.
-2*u*(u - 1)*(u + 1)/3
Let u(i) be the first derivative of -3/8*i**4 + 1/4*i**2 + 0*i - 2 + 1/3*i**6 + 1/3*i**3 - 2/5*i**5. Factor u(y).
y*(y - 1)**2*(2*y + 1)**2/2
Let h(j) = j. Let a be h(0). Suppose k - 4*f = 6, -5*k + a*f = -2*f - 12. Factor 0 - 14/9*d**k + 10/9*d**3 + 4/9*d.
2*d*(d - 1)*(5*d - 2)/9
Let n(f) = f**4 - f**2 + f. Let z(q) = -3*q**5 - 9*q**4 - 5*q**3 + q**2 - 2*q. Let a(m) = 2*n(m) + z(m). Solve a(d) = 0.
-1, -1/3, 0
Let w = -703 - -34446/49. Let x = 45/196 - w. Factor -1/4*g + x*g**2 - 1/2.
(g - 2)*(g + 1)/4
Let o = -3456/275 + 140/11. Let d(y) be the first derivative of 0*y - 1/10*y**2 + 0*y**4 + 2 - 1/5*y**3 + o*y**5. Determine k, given that d(k) = 0.
-1/2, 0, 1
Let r(b) be the first derivative of 1/8*b**4 + 3 + 0*b - 1/4*b**2 + 0*b**3. Factor r(o).
o*(o - 1)*(o + 1)/2
Determine k, given that -k**2 - 11*k - 5*k + 62*k**3 - 54*k**3 + 63*k**2 = 0.
-8, 0, 1/4
Suppose 11/2*t**2 - 19/2*t**3 - 3/2*t**5 + 13/2*t**4 + 0 - t = 0. What is t?
0, 1/3, 1, 2
Suppose -s = -10*h + 9*h + 1, -s - 5*h + 17 = 0. Solve -1/6 - 1/6*t**s + 1/3*t = 0.
1
Let q = 637 - 3821/6. Let 0*l**4 + 1/6*l**5 + q*l - 1/3*l**3 + 0 + 0*l**2 = 0. What is l?
-1, 0, 1
Let o = 5/16 + -1/16. Factor -o*t + 0 - 1/4*t**3 + 1/2*t**2.
-t*(t - 1)**2/4
Let v(z) be the third derivative of -z**9/5040 + z**7/420 - z**5/40 + z**4/8 - 8*z**2. Let t(y) be the second derivative of v(y). Factor t(x).
-3*(x - 1)**2*(x + 1)**2
Suppose 11*k + 20 = i + 7*k, -20 = -2*i + 4*k. Factor -3/4*l**2 + 3/4 + i*l.
-3*(l - 1)*(l + 1)/4
Determine c, given that -4/15*c + 2/15 + 2/15*c**2 = 0.
1
Let z(g) = -2*g - 12. Let y be z(-13). Let q be 2/6*(y - 13). Factor 0 - 1/3*c - q*c**2.
-c*(c + 1)/3
Let w = 1 + 10. Let s be (w/99)/((-1)/(-6)). Factor 2/3*n**5 - 2/3*n**2 + 2/3*n**4 + 0 + 0*n - s*n**3.
2*n**2*(n - 1)*(n + 1)**2/3
Let t be 129/(-45) + 7 - 4. Factor 2/15*b**2 + 0 + 2/15*b - t*b**4 - 2/15*b**3.
-2*b*(b - 1)*(b + 1)**2/15
Let u be (5/5)/(1/2). Let w(c) = c**3 + 6*c**2 + 13*c - 13. Let h(t) = 2*t**2 + 4*t - 4. Let m(k) = u*w(k) - 7*h(k). Factor m(b).
2*(b - 1)**2*(b + 1)
Let w(v) be the third derivative of -v**8/16 - 3*v**7/70 + 52*v**6/35 + 18*v**5/7 - 38*v**4/7 + 24*v**3/7 - 13*v**2. Let w(l) = 0. Calculate l.
-2, 2/7, 3
Suppose 0 = 5*h + v - 2*v - 6, -2*h + 8 = v. Let y(g) be the second derivative of 0*g**3 + 1/12*g**4 + 0*g**h + 0 - 2*g. Factor y(r).
r**2
Let y be ((-50)/(-16) + -3)*4. Let l(g) = g**2 - 3*g + 2. Let k be l(2). Determine x so that k*x**2 - 1/2*x**5 + 0*x + x**3 + 0 + y*x**4 = 0.
-1, 0, 2
Let o(i) = i**3 + 16*i**2 + 10*i - 72. Let l be o(-15). Factor 0 + 0*k**2 - 2/5*k**l + 0*k.
-2*k**3/5
Let k = 42 + -122/3. Determine u, given that -182*u**3 - k - 52/3*u - 253/3*u**2 - 147*u**4 = 0.
-1/3, -2/7
Let b be -3 + (-24)/(-18) + 2. Solve 0*z + 0 - 1/3*z**2 + b*z**4 + 1/3*z**3 - 1/3*z**5 = 0 for z.
-1, 0, 1
Let l(n) = n**3 - 6*n**2 + n - 8. Let u be l(6). Let x(j) = 3*j**2 + 4*j - 1. Let r(y) = -y**2 - y + 1. Let p(g) = u*r(g) - x(g). Find d, given that p(d) = 0.
-1
Let p(z) be the first derivative of z**8/140 + z**7/350 - z**2 - 1. Let k(h) be the second derivative of p(h). Suppose k(s) = 0. Calculate s.
-1/4, 0
Let j(k) be the first derivative of -k**4/26 - 4*k**3/39 + k**2/13 + 4*k/13 - 16. Factor j(p).
-2*(p - 1)*(p + 1)*(p + 2)/13
Let x(r) be the second derivative of 17/20*r**5 + r**2 + 0 + 11/6*r**3 + 1/6*r**6 + r + 7/4*r**4. Factor x(b).
(b + 1)**3*(5*b + 2)
Let p(l) be the first derivative of -l**6/1080 + l**5/120 - l**4/36 + 2*l**3/3 + 3. Let s(z) be the third derivative of p(z). Factor s(j).
-(j - 2)*(j - 1)/3
Let d(q) be the second derivative of -6*q - 1/3*q**3 + 0 - 1/12*q**4 - 1/2*q**2. Let d(h) = 0. Calculate h.
-1
Let u(w) = -w + 6. Let k be u(5). Let s(n) = 3*n**2 - n. Let l be s(k). Factor -32/3*i**3 - 4/3*i - 22/3*i**l + 0 - 14/3*i**4.
-2*i*(i + 1)**2*(7*i + 2)/3
Let d(t) be the third derivative of -t**7/42 - t**6/6 - 5*t**5/12 - 5*t**4/12 + 47*t**2. Factor d(k).
-5*k*(k + 1)**2*(k + 2)
Suppose 5*u = -4*a + 31, -8*a - 4*u = -10*a - 4. Find d such that 0 - 1/2*d**3 + 3/8*d**5 - 1/4*d**2 + 1/4*d**a + 1/8*d = 0.
-1, 0, 1/3, 1
Let v(b) be the third derivative of b**6/10 - 7*b**5/15 - 7*b**4/6 + 2*b**3 + b**2. Factor v(n).
4*(n - 3)*(n + 1)*(3*n - 1)
Let u(v) = 3*v**2 + 3*v. Let r be u(-2). Suppose -2*o + 0 = -r. Suppose o*b**4 + 2*b**5 + 0*b**4 - 3*b**5 + b**2 - 3*b**3 = 0. Calculate b.
0, 1
Let n = 13 - 9. Factor 2 - 4*h**4 - n*h**3 + 2*h**4 + 0*h**3 - 2*h**5 + 4*h**2 + 6*h - 4*h**4.
-2*(h - 1)*(h + 1)**4
Let k(p) = -6*p**2 + 2*p + 4. Let j(o) be the first derivative of -5*o**3/3 + o**2/2 + 3*o - 1. Let g(q) = 4*j(q) - 3*k(q). Factor g(a).
-2*a*(a + 1)
Let h(k) be the first derivative of -1/4*k**3 - 2 - 3/8*k**2 + 3/16*k**4 + 3/4*k. Solve h(m) = 0 for m.
-1, 1
Let o(i) = -i**2 - 7*i - 3. Let g be o(-6). Factor -y**5 - y**4 + y**3 + y**2 - g + 3.
-y**2*(y - 1)*(y + 1)**2
Let n(q) be the second derivative of -q**9/7560 + q**8/4200 + q**7/2100 - q**6/900 + q**3/6 + 3*q. Let f(g) be the second derivative of n(g). Factor f(d).
-2*d**2*(d - 1)**2*(d + 1)/5
Let z(o) = o**3 - 3*o**2 - 3*o - 1. Let f = 8 + -4. Let c be z(f). Let 2*b**3 - 2*b**5 + 0*b**c + 0*b**3 = 0. Calculate b.
-1, 0, 1
Let y be (0 - 4) + 5 + 1. Let t(z) be the third derivative of -z**y + 0 + 1/120*z**5 + 0*z**3 + 0*z**4 + 0*z + 1/120*z**6. Suppose t(u) = 0. What is u?
-1/2, 0
Let m(h) be the first derivative of -4 + 0*h**3 - 1/4*h**4 - 1/4*h**5 + 0*h + 7/40*h**6 + 2*h**2. Let f(l) be the second derivative of m(l). F