2*(g - 1)**2/5
Let x be (4/(-3))/(14/(-21) - 0). Factor 1/4*t**3 + 1/4*t**x + 0 + 0*t.
t**2*(t + 1)/4
Let n = -91 + 98. Let i(r) be the third derivative of r**2 - 1/350*r**n + 0*r**4 - 1/1680*r**8 - 1/200*r**6 + 0*r + 0 - 1/300*r**5 + 0*r**3. Factor i(u).
-u**2*(u + 1)**3/5
Suppose -y + 6*y = -4*m + 2, 2*m - 2 = -3*y. Let h be 1*-1 + (-99)/(-77). Suppose 2/7*s**y + 0*s - h = 0. What is s?
-1, 1
Suppose -3*r + 9 - 3 = 0. Find w, given that 2*w**5 + 4*w**4 - 2*w - w**2 - w**2 - r*w**2 = 0.
-1, 0, 1
Let b(x) be the second derivative of 288/5*x**3 + 1579/50*x**5 + 2*x + 141/2*x**4 + 469/75*x**6 + 7/15*x**7 + 108/5*x**2 + 0. Factor b(i).
2*(i + 3)**3*(7*i + 2)**2/5
Let f(r) = -r - 8. Let x be f(-11). Find h such that 0 - 2/13*h**x + 0*h**2 + 0*h + 4/13*h**4 - 2/13*h**5 = 0.
0, 1
Let z(i) be the second derivative of 2*i + 0 - 1/6*i**3 + 1/3*i**2 - 1/12*i**4 + 7/60*i**5 - 1/30*i**6. Factor z(r).
-(r - 1)**3*(3*r + 2)/3
Let k(u) = -2*u**2 - 3*u - u**2 - 7 + 6*u**4 + 0*u**2 + 6*u**3 + 4. Let o(h) = -6*h**4 - 5*h**3 + 4*h**2 + 3*h + 2. Let f(n) = 2*k(n) + 3*o(n). Factor f(v).
-3*v*(v - 1)*(v + 1)*(2*v + 1)
Suppose 3*u - 5*p - 22 = 0, -p = -2*u - 5*p. Solve -3*v**3 + v**3 + 5*v**3 - v**3 + 2*v**5 + 4*v**u = 0.
-1, 0
Let i(a) be the second derivative of -a - 1/18*a**4 + 0 + 0*a**2 + 1/9*a**3. Solve i(w) = 0.
0, 1
Factor -9*k**3 + 2*k**4 + 6*k - 3*k + 4*k**4 + 0*k**4.
3*k*(k - 1)**2*(2*k + 1)
Suppose 0 = b - 4*y - 12, -4*b - 5*y - 8 = 7. Let h(s) be the second derivative of b - s + 2/3*s**2 - 1/18*s**4 - 1/9*s**3. Find n such that h(n) = 0.
-2, 1
Let g(a) be the third derivative of a**9/7560 - a**8/3360 - a**4/6 - 2*a**2. Let r(h) be the second derivative of g(h). What is d in r(d) = 0?
0, 1
Let u(b) be the third derivative of 1/42*b**4 + 5*b**2 - 1/21*b**3 + 0 - 1/210*b**5 + 0*b. Determine c, given that u(c) = 0.
1
Let a(i) be the third derivative of -i**6/60 + 7*i**5/120 - i**4/24 - i**3/12 - 7*i**2. What is z in a(z) = 0?
-1/4, 1
Let q(c) be the third derivative of c**5/15 - c**4/3 - 14*c**2. Factor q(v).
4*v*(v - 2)
Let t(y) be the third derivative of y**7/42 + y**6/24 - y**5/12 - 5*y**4/24 + 2*y**2. Determine a, given that t(a) = 0.
-1, 0, 1
Let p(a) be the first derivative of -2/9*a**3 + 1/6*a**4 - 1/2*a**2 + 1/18*a**6 - 1/3*a + 1/5*a**5 + 10. What is m in p(m) = 0?
-1, 1
Let j(d) be the second derivative of 0*d**2 + 1/75*d**6 - 3*d - 1/30*d**4 + 0 + 2/105*d**7 + 1/15*d**3 - 3/50*d**5. Suppose j(u) = 0. What is u?
-1, 0, 1/2, 1
Suppose 0 = -5*a - 2*t - 0*t, 2*a = t + 9. Suppose 3*i + q - 7 = 0, a*i - 5 = -i + q. Factor -2/5 - 3/5*o - 1/5*o**i.
-(o + 1)*(o + 2)/5
Let l(w) be the second derivative of w**6/40 - w**4/8 + 3*w**2/8 + 19*w. Factor l(h).
3*(h - 1)**2*(h + 1)**2/4
Let v = -11 + 85/7. Factor -2/7 - v*w - 8/7*w**2.
-2*(2*w + 1)**2/7
Let o(x) be the third derivative of -x**8/784 + x**6/280 + 12*x**2. Find g, given that o(g) = 0.
-1, 0, 1
Solve 11/3 - 1/3*g**2 - 10/3*g = 0.
-11, 1
Let g be 11/(-3) - (1 + 0 - 5). Let l(m) be the second derivative of -1/15*m**6 - 3/10*m**5 - 3*m - g*m**4 + 0*m**3 + 0 + 0*m**2. Factor l(o).
-2*o**2*(o + 1)*(o + 2)
Suppose -l + 2*l = j - 8, -2*j = -l - 11. Factor 4*o**2 + 3*o**3 - 3*o**j - 6*o**3 + 2*o**5.
2*o**2*(o - 1)**2*(o + 2)
Let r be (-18)/(-40) - (-1)/(-4). Suppose 33*j - 38*j = -10. Let 2/5*a + r*a**j + 0 = 0. What is a?
-2, 0
Let z(u) be the first derivative of u**5 + 25*u**4/4 + 40*u**3/3 + 10*u**2 - 16. Factor z(l).
5*l*(l + 1)*(l + 2)**2
Let z(n) = -5*n**2 - n - 8. Let g(p) = 6*p**2 + p + 9. Let m(s) = 18*s**2 + 3*s + 27. Let b(w) = -11*g(w) + 4*m(w). Let a(k) = -6*b(k) - 7*z(k). Factor a(f).
-(f - 2)*(f + 1)
Let c(t) be the third derivative of t**9/52920 + t**8/14112 + t**7/17640 + t**5/60 - t**2. Let q(x) be the third derivative of c(x). Factor q(b).
2*b*(b + 1)*(4*b + 1)/7
Let d = 19 - 19. Let j = -90 - -363/4. Determine l, given that d*l + j*l**2 + 0 = 0.
0
Let a = 31 + -28. Let t(i) be the first derivative of 0*i + i**2 + 1/8*i**4 - 3 - 2/3*i**a. Factor t(s).
s*(s - 2)**2/2
Let s(g) be the first derivative of -g**6/105 + 2*g**5/35 - g**4/7 + 4*g**3/21 - g**2/7 - 5*g - 3. Let v(k) be the first derivative of s(k). Factor v(b).
-2*(b - 1)**4/7
Factor 0 - 1/2*r**2 + 0*r - 1/2*r**4 - r**3.
-r**2*(r + 1)**2/2
Let r(m) = m - 4. Let j be r(3). Let z be (5/(-3) - j) + 1. Solve 1/3*o**4 - 2/3 - o + o**3 + z*o**2 = 0 for o.
-2, -1, 1
Let i(p) be the first derivative of p**2 + 9*p + 11. Let l be i(-3). Suppose 2/3*b**2 - 2/3 - 2/3*b + 2/3*b**l = 0. What is b?
-1, 1
Let f(d) be the second derivative of -1/30*d**4 + 4/5*d**2 + 0 - 7*d + 1/5*d**3. Factor f(p).
-2*(p - 4)*(p + 1)/5
Let a(s) be the first derivative of -2*s**6/3 + 8*s**5/5 + 3*s**4 - 22. Find m such that a(m) = 0.
-1, 0, 3
Let u(r) be the third derivative of 1/40*r**6 + 5*r**2 + 0*r + 0 + 0*r**3 + 1/10*r**5 + 1/8*r**4. Let u(x) = 0. Calculate x.
-1, 0
Let g be 0 + (-3)/(-9)*9. Let 1/2*x**g + 0 - x**2 + 1/2*x = 0. Calculate x.
0, 1
Suppose -2*t + 1 = -3. Suppose -2*f = t - 10. Factor -5 - f*y**4 - 2*y**3 - 2*y**5 + 5.
-2*y**3*(y + 1)**2
Let x(s) = -s**2 - 9*s + 10. Let p be x(-10). Factor -2/3*o + p - 1/3*o**2.
-o*(o + 2)/3
Let g(k) = 10*k**5 + 10*k**4 - 9*k**3 + 11. Let q(r) = 5*r**5 + 5*r**4 - 4*r**3 + 6. Let b(y) = -6*g(y) + 11*q(y). Factor b(n).
-5*n**3*(n - 1)*(n + 2)
Let a = 196/465 - 2/93. Let z(r) be the first derivative of 1 - 2/5*r**2 - 2/15*r**3 - a*r. Factor z(m).
-2*(m + 1)**2/5
Suppose 3 = 2*c - 5. Let w(i) = 6*i**2 - 15*i + 30. Let y(b) = -7*b**2 + 14*b - 31. Let n(f) = c*w(f) + 3*y(f). Factor n(g).
3*(g - 3)**2
Let g(s) be the first derivative of 5*s**8/336 + s**7/168 - 2*s**6/45 + s**5/30 - s**3 - 6. Let z(i) be the third derivative of g(i). Solve z(k) = 0.
-1, 0, 2/5
Let q be (-14)/(-4) + (-27)/18. Solve 26/9*a**3 - q*a**2 + 4/9 - 2/9*a - 10/9*a**4 = 0 for a.
-2/5, 1
Let w = -1046 + 1050. Solve -4*r**4 - 4/3*r**5 + w*r + 4/3 + 8/3*r**2 - 8/3*r**3 = 0 for r.
-1, 1
Let i(g) be the third derivative of g**6/100 - 4*g**5/75 + 7*g**4/60 - 2*g**3/15 - 11*g**2. Factor i(y).
2*(y - 1)**2*(3*y - 2)/5
Determine d, given that -6/11 - 2/11*d**2 + 8/11*d = 0.
1, 3
Factor -6*f**2 - 31*f + 35*f - 26*f - 12.
-2*(f + 3)*(3*f + 2)
Let i(c) = -c + 10. Let j be i(7). Let z = j + -3. Solve -2*o**2 + z*o + 2*o + 0*o = 0.
0, 1
Suppose p = -4*b + 2, -6*b + 10 = -3*b + 5*p. Let q(o) be the second derivative of -1/50*o**5 + 1/20*o**4 + b - 1/5*o**2 + o + 1/10*o**3. What is a in q(a) = 0?
-1, 1/2, 2
Let j(i) be the third derivative of -i**6/120 + i**5/60 - i**2. Factor j(f).
-f**2*(f - 1)
Let f(s) be the second derivative of 5*s**7/42 + s**6/3 - 5*s**4/6 - 5*s**3/6 - s. Factor f(w).
5*w*(w - 1)*(w + 1)**3
Let g = -242 + 246. Factor 2/7*o**3 + 0 - 2/7*o**g + 0*o**2 + 0*o.
-2*o**3*(o - 1)/7
Let u = 26 + -24. Suppose 0 = 3*h - 11 + u. Solve 2/5*k**4 - 4/5*k**2 + 0 + 0*k - 2/5*k**h = 0 for k.
-1, 0, 2
Let x(a) = 3*a - 1. Let o be x(1). Suppose n**3 + 6 - 5*n**o + 4 - 1 + 3*n = 0. What is n?
-1, 3
Factor -1/4 - 1/4*o + 1/4*o**2 + 1/4*o**3.
(o - 1)*(o + 1)**2/4
Factor 2/3*w**4 + 8/3*w - 8/3*w**3 + 4/3*w**2 - 2.
2*(w - 3)*(w - 1)**2*(w + 1)/3
Let t(f) be the third derivative of -14641*f**7/490 + 1331*f**6/35 - 726*f**5/35 + 44*f**4/7 - 8*f**3/7 - 23*f**2. Factor t(s).
-3*(11*s - 2)**4/7
Let n be 102/4 + (1 - 1). Let k = -25 + n. Let 0 + 0*g + 1/2*g**2 - k*g**3 = 0. Calculate g.
0, 1
Solve 18/7*h + 3/7*h**2 + 15/7 = 0.
-5, -1
Let p(t) be the second derivative of -t**7/168 + t**6/120 + t**5/40 - t**4/24 - t**3/24 + t**2/8 + 38*t. Factor p(o).
-(o - 1)**3*(o + 1)**2/4
Factor -8/7*i**2 + 0 + 10/7*i**3 - 2/7*i**4 + 0*i.
-2*i**2*(i - 4)*(i - 1)/7
Let i(j) = j**3 - 4*j**2 + 3*j. Suppose 0 = d + f - 1, f - 5 = -4*d + 2*d. Let b be i(d). Factor -t**5 - 12 + b - t**2 + t**3 + t**4.
-t**2*(t - 1)**2*(t + 1)
Let l(j) be the third derivative of 1/120*j**4 + 2*j**2 + 0*j**5 + 0*j + 0*j**3 + 0 - 1/600*j**6. Determine x so that l(x) = 0.
-1, 0, 1
Let m = -5 - -5. Suppose m*a = a. Determine l, given that 2*l**3 + a*l**3 - 4*l**3 - l**3 - 9*l - 9*l**2 - 3 = 0.
-1
Factor 9*k**4 + 6*k**2 - 21*k**3 + 4*k**4 - 4*k**4.
3*k**2*(k - 2)*(3*k - 1)
Suppose 0 = 5*n + 2*u, -n - 3*u = u + 18. Factor 9*a**2 + 5*a**3 - 3*a**3 + n*a**3 - 7*a**3.
-3*a**2*(a - 3)
Suppose -8*b + 12*b - 20 = 0. Facto