1, 2/7, 1
Factor -32/3*d**2 - 16*d - 6.
-2*(4*d + 3)**2/3
Let w(d) be the first derivative of 5 + 0*d**2 - 7/24*d**6 - 1/6*d**3 + 0*d - 11/16*d**4 - 4/5*d**5. Factor w(o).
-o**2*(o + 1)**2*(7*o + 2)/4
Let d be 11/5 + (-6)/2 - -1. Suppose -1/5*l**4 - 1/5*l**3 + 1/5*l + d*l**2 + 0 = 0. What is l?
-1, 0, 1
Let l(o) = 5*o - 5. Let q(a) = 3*a - 3. Let j(m) = -5*l(m) + 8*q(m). Let f be j(-1). What is w in -6/5*w + 2/5 - 8/5*w**f = 0?
-1, 1/4
Let j be (-14)/12*-4*30/105. Factor 0 + 0*d + 4/3*d**2 - j*d**3 + 1/3*d**4.
d**2*(d - 2)**2/3
Let x be 14*(2/(-2))/(-1). Let f be x/4 - 15/10. Factor -4*j**2 + 0*j**3 - 2*j**5 + 6*j**f + 2*j**3 - 2*j**4.
-2*j**2*(j - 1)*(j + 1)**2
Let f(r) be the third derivative of 0*r + 1/240*r**5 + 0*r**3 - r**2 + 0 + 1/480*r**6 + 0*r**4. Factor f(s).
s**2*(s + 1)/4
Let s(q) = -4*q**2 - 2*q + 2*q**5 - 3*q**2 - 5*q + 5*q**3. Let i(t) = -t**2 - 3*t**2 + 2*t**3 - 3*t + t**5 + t**2. Let c(g) = -7*i(g) + 3*s(g). Factor c(f).
-f**3*(f - 1)*(f + 1)
Let g(q) be the second derivative of -q**5/90 - q**4/27 - q**3/27 - 14*q. Let g(k) = 0. Calculate k.
-1, 0
Let y(q) be the first derivative of 4/5*q - 2 + 7/5*q**2 + 16/15*q**3 + 3/10*q**4. Suppose y(h) = 0. Calculate h.
-1, -2/3
Let n be 95/(-76)*2/(-10). Let l(q) be the first derivative of 0*q - 3 - n*q**4 - q**3 - q**2. Solve l(u) = 0 for u.
-2, -1, 0
Let f(z) be the second derivative of -z**7/42 - z**6/10 - 3*z**5/20 - z**4/12 - 7*z. What is k in f(k) = 0?
-1, 0
Let t be (-14)/(-10) - (-2)/(-5). Factor -2*s + 5*s - 2*s**3 + 3*s**3 - 3*s**2 - t.
(s - 1)**3
Let j(s) be the first derivative of 3*s**4/5 + 8*s**3/15 - 6*s**2/5 - 8*s/5 + 11. Factor j(h).
4*(h - 1)*(h + 1)*(3*h + 2)/5
Factor 8/5*x**2 + 0*x + 2*x**4 + 0 + 2/5*x**5 + 16/5*x**3.
2*x**2*(x + 1)*(x + 2)**2/5
Let u(c) be the first derivative of 3*c**4/2 - 20*c**3/3 + 3*c**2 - 17. Factor u(o).
2*o*(o - 3)*(3*o - 1)
Let q(r) be the third derivative of -r**5/50 + r**4/15 - r**3/15 - 5*r**2. Factor q(h).
-2*(h - 1)*(3*h - 1)/5
Let x be (6/(-5))/(6/(-40)). Let r = x + -3. Factor -7*i - 8*i**5 + i**2 + 4 + 7*i**r - i**4 - i + 5*i**3.
-(i - 1)**3*(i + 2)**2
Let l(s) = -s**2 + 2*s - 2. Let p(j) = -3*j - 11 + 11*j - 5*j**2 - 3*j + 6*j. Let b(d) = 11*l(d) - 2*p(d). What is w in b(w) = 0?
0
Let b = 362 - 1808/5. Factor b + 0*u + 2/5*u**4 - 4/5*u**2 + 0*u**3.
2*(u - 1)**2*(u + 1)**2/5
Let y(b) be the first derivative of -b**6/14 + 6*b**5/35 + 3*b**4/28 - 2*b**3/7 - 29. Solve y(s) = 0.
-1, 0, 1, 2
Suppose y = -2*y - y. Let y - 3/2*c + 3/2*c**2 = 0. Calculate c.
0, 1
Let w = -1000/3 + 334. Solve -2/3*r + w*r**2 - 4/3 = 0 for r.
-1, 2
Determine j, given that 3 - 1 + 12*j**2 + 3*j**5 - 2 + 24*j**3 + 15*j**4 = 0.
-2, -1, 0
Let m(b) be the first derivative of 0*b + 1/2*b**3 + 3/8*b**4 + 1/4*b**2 + 2 + 1/10*b**5. Factor m(d).
d*(d + 1)**3/2
Let o(r) be the first derivative of r**4/2 + 34*r**3 + 867*r**2 + 9826*r - 40. Solve o(s) = 0.
-17
Let k(y) be the first derivative of 2/9*y**3 + 0*y + 1/12*y**4 + 8 - 1/2*y**2. Factor k(h).
h*(h - 1)*(h + 3)/3
Let r be (42/49)/((-2)/(-14)). Let a(c) = -c + 11. Let x be a(r). Find b such that 0 - 3/2*b - 33/4*b**4 - 45/4*b**3 - 9/4*b**x - 27/4*b**2 = 0.
-1, -2/3, 0
Let j(u) be the third derivative of u**8/840 + 2*u**7/525 - u**5/75 - u**4/60 + 6*u**2. What is h in j(h) = 0?
-1, 0, 1
Let w(u) = 8*u**2 - u + 23. Let i(n) = n**2 + n + 1. Let r(j) = -21*i(j) + 3*w(j). Solve r(y) = 0 for y.
4
Let n be 0/(-3)*(-2)/2. Let p(m) be the second derivative of 1/15*m**6 - m + 1/3*m**3 + n + 0*m**2 + 3/10*m**5 + 1/2*m**4. Factor p(t).
2*t*(t + 1)**3
Suppose 4*c - 3*k - 18 = -0*k, -40 = -5*c - 5*k. Let u = 8 - c. Factor 1 + 3/2*r + 1/2*r**u.
(r + 1)*(r + 2)/2
Let v(y) = -4*y**3 + 36*y**2 - 32. Let j(b) = -b**3 + 12*b**2 - 11. Let l(z) = -16*j(z) + 5*v(z). Factor l(q).
-4*(q - 1)*(q + 2)**2
Let j(k) be the second derivative of -k**4/15 + 8*k**3/15 + 4*k. Solve j(h) = 0.
0, 4
Let j(m) be the first derivative of -2 + 0*m**2 + 0*m + 2/35*m**5 + 0*m**3 + 1/14*m**4. What is b in j(b) = 0?
-1, 0
Factor -4*k**2 - 23 + 17 + 9*k + k**2.
-3*(k - 2)*(k - 1)
Let i(a) be the second derivative of a**4/3 - 2*a**3/3 - 4*a**2 + 2*a. Solve i(t) = 0 for t.
-1, 2
Let k = 6 + -1. Suppose 3*q = r, 0 = -k*r + r - 3*q + 15. Determine g, given that -g**5 - g**4 + 6*g**2 + 3*g**3 - 5*g**2 - 2*g**r = 0.
-1, 0, 1
Let n be 66/(-110)*(-10)/14. Solve n + 0*t - 3/7*t**2 = 0.
-1, 1
Let r(n) = -n**5 + 6*n**4 + 5*n**3 - 6*n**2 + 2*n - 2. Let x(k) = k**5 - 12*k**4 - 11*k**3 + 12*k**2 - 5*k + 5. Let t(c) = 5*r(c) + 2*x(c). Solve t(d) = 0.
-1, 0, 1, 2
Determine z so that 1/8*z**2 + 1/2*z - 3/2 = 0.
-6, 2
Let x(p) be the second derivative of p**4/36 - 10*p**3/9 + 50*p**2/3 - 30*p. Factor x(w).
(w - 10)**2/3
Let f = -11 - -5. Let q be (f/7)/((-5)/7). Factor -q*c**2 + 0 - 2/5*c.
-2*c*(3*c + 1)/5
Let l(f) = f**2 - 12*f - 1. Let z be l(13). Let u be (-3)/((-27)/z - 3). Suppose -2/7*n + 0 - u*n**3 - 8/7*n**2 + 8/7*n**4 + 6/7*n**5 = 0. What is n?
-1, -1/3, 0, 1
Let s(g) be the second derivative of -4*g + 1/10*g**2 + 0 + 1/10*g**3 - 1/15*g**4. Let s(v) = 0. What is v?
-1/4, 1
Let h(c) be the third derivative of -c**6/360 - c**5/40 - c**4/12 - c**3/3 + 2*c**2. Let g(r) be the first derivative of h(r). Factor g(p).
-(p + 1)*(p + 2)
Suppose -3/4*n**2 + 9/4*n - 3/2 = 0. What is n?
1, 2
Let y(t) be the first derivative of 0*t**2 + 1/4*t**4 - 1/3*t**3 + 0*t - 4. Factor y(b).
b**2*(b - 1)
Factor 3/2*x**2 - 1/2*x**4 + 1 + 1/2*x**3 - 5/2*x.
-(x - 1)**3*(x + 2)/2
Let z(h) = -15*h**2 - 12*h - 60. Let a(q) = q**2 - q + 1. Let f(j) = -12*a(j) - z(j). Factor f(p).
3*(p + 4)**2
Factor 25/8*r**3 - 9/2*r - 15/4*r**2 - 1.
(r - 2)*(5*r + 2)**2/8
Let l(n) be the second derivative of -n**4/12 - n**3/2 - n**2 - 6*n. Factor l(a).
-(a + 1)*(a + 2)
Let l(w) be the first derivative of -w**4/8 - w**3/2 + 11. Factor l(h).
-h**2*(h + 3)/2
Let d(h) be the third derivative of -5*h**7/42 + h**6/12 + 5*h**5/12 - 5*h**4/12 + 49*h**2. Let d(r) = 0. Calculate r.
-1, 0, 2/5, 1
Let w(t) be the first derivative of 5 - 2/3*t**3 + 7/2*t**2 - 3*t. Factor w(x).
-(x - 3)*(2*x - 1)
Let k(r) = r**3 + 5*r**2 - r - 1. Let l be k(-5). Let o be (-10)/l*3/(-30). Determine i so that -1/4*i**2 + 0*i + 0 - o*i**4 - 1/2*i**3 = 0.
-1, 0
Suppose 2*a - 6*a + 8 = 0. Let h = 1 + a. What is p in -3*p**3 + 6*p - 2 - 6*p**2 + 2*p**h + 3*p**3 = 0?
1
Find x such that -135*x**4 - 510*x**2 - 886*x**3 - 89*x**3 - 71*x + 72 + 227*x + 510*x**4 = 0.
-2/5, 2/5, 3
Let i(j) = -j - 5. Let h be i(-7). Factor 2/3 + 1/3*u**3 + 0*u**h - u.
(u - 1)**2*(u + 2)/3
Let z(w) = 3*w + 0*w - 18 + 0*w. Let p be z(6). Factor 2/9*g**2 + 2/9*g**4 + p + 0*g - 4/9*g**3.
2*g**2*(g - 1)**2/9
Let q(x) = x**3 + 11*x**2 + 11*x + 12. Let c be q(-10). Factor -2*k**2 + k**2 + 5*k**2 - 2*k**c + k**3 - k - 2.
(k - 1)*(k + 1)*(k + 2)
Suppose -j = l - 7, -3*j - 5*l = 2 - 31. Factor 0 - 2/3*b**j + 2/3*b**2 + 0*b.
-2*b**2*(b - 1)/3
Let k(z) be the second derivative of -7*z - 3*z**2 + 0 - 1/2*z**3 + 1/4*z**4. Determine o so that k(o) = 0.
-1, 2
Let j(z) be the second derivative of z**4/24 + 2*z**3/3 + 4*z**2 - z. Factor j(i).
(i + 4)**2/2
Suppose 5*u + 3*u**3 + 12 + u**2 - 26*u + 5*u**2 = 0. Calculate u.
-4, 1
Let y(u) be the third derivative of u**7/1575 - u**6/360 + u**5/300 + u**4/24 + 3*u**2. Let j(f) be the second derivative of y(f). Find w, given that j(w) = 0.
1/4, 1
Factor 10*d**2 - d**2 - d**2 - 5*d**2 - 3.
3*(d - 1)*(d + 1)
Let y be (-8)/12*-3*1. Let u**3 + 4 - u**2 - 6 + 5*u**3 - 6*u + 3*u**y = 0. What is u?
-1, -1/3, 1
Determine s, given that 8/3*s**3 + 0*s**2 - 8/3*s - 4/3*s**4 + 4/3 = 0.
-1, 1
Let 1/3*l**3 + 0 - 10/3*l**2 + 25/3*l = 0. What is l?
0, 5
Let g be (-20)/(-6)*6/4. Let f be 2/g - 52/(-20). Find s, given that 3 + f*s + 3 + 10*s + 3*s**2 - 4*s = 0.
-2, -1
Let z(l) be the third derivative of -1/840*l**8 + 0*l + 0 + 1/175*l**7 - 3*l**2 - 1/75*l**5 - 1/150*l**6 - 1/15*l**3 + 1/20*l**4. Factor z(n).
-2*(n - 1)**4*(n + 1)/5
Let z(f) be the first derivative of -2/5*f**5 + 4*f - 1 - 5*f**2 + 2*f**3 + 1/2*f**4. Factor z(i).
-2*(i - 1)**3*(i + 2)
Let i = -4 + 17/4. Let l be (-5)/(-2)*(-15)/(-50). Let -3/4*p**3 + 1/4*p**4 + l*p**2 + 0 - i*p = 0. What is p?
0, 1
Let t(n) be the third derivative of -n**5/90 - n**4/18 - n**3/9 + 5*n**2. Suppose t(q) = 0. Calculate q