-u - 4*j - j + 13. Solve -2*m**2 - 4*m**4 + 6*m**u + m**2 - m**3 = 0.
0, 1/4, 1
Let o(j) be the third derivative of 1/120*j**4 + 1/15*j**3 + 0 + 0*j - 1/150*j**5 - 1/600*j**6 + j**2. Determine t, given that o(t) = 0.
-2, -1, 1
Let z(w) be the second derivative of 1/5*w**2 + 0 - 2/15*w**3 + 1/25*w**5 + 0*w**4 + 2*w - 1/75*w**6. Factor z(j).
-2*(j - 1)**3*(j + 1)/5
Let 242 + 39*i - 7*i + 12*i + 2*i**2 = 0. What is i?
-11
What is i in -4/5*i**3 - 4/5*i + 0 - 8/5*i**2 = 0?
-1, 0
Suppose -2*s + c - 1 = -6, 4*s - 4 = -4*c. Factor -12*l**4 + 8*l**s - 60*l + 63*l + l**2.
-3*l*(l - 1)*(2*l + 1)**2
Solve -384*k**5 + 392*k**5 - 12*k**4 + 4*k**3 + 2*k - 2*k = 0 for k.
0, 1/2, 1
Let k(t) be the first derivative of 121*t**4/16 - 11*t**3/2 + 3*t**2/2 - 4*t - 1. Let i(b) be the first derivative of k(b). Determine n, given that i(n) = 0.
2/11
Let x be -6*1/(9/(-6)). Find w, given that -2*w**5 + 4*w**x - 4*w**2 - 3*w + 5*w + 0*w**2 = 0.
-1, 0, 1
Let s(c) be the second derivative of -1/3*c**3 + 0 + 5/42*c**7 - 3*c + 7/30*c**6 - 3/20*c**5 - 7/12*c**4 + 0*c**2. Factor s(l).
l*(l - 1)*(l + 1)**2*(5*l + 2)
Find k, given that -2/9*k**3 - 4/9*k**4 + 0 + 0*k**2 - 2/9*k**5 + 0*k = 0.
-1, 0
Let l(f) = f**3 + 14*f**2 + 12*f - 9. Let d be l(-13). Let j be ((-3)/(-6))/(d/16). Factor 0 - 2/9*i + 4/9*i**j - 2/9*i**3.
-2*i*(i - 1)**2/9
Let d(s) be the first derivative of -3/4*s**2 - 3 + 2/9*s**3 + 1/3*s. Factor d(q).
(q - 2)*(4*q - 1)/6
Let u = 1 + 5. Let x = -6 + u. Factor -a**4 + 0 + 0*a**2 + 1/2*a**3 + 1/2*a**5 + x*a.
a**3*(a - 1)**2/2
Let i(x) be the first derivative of x**6/2 + x**5/5 - 5*x**4/4 - x**3/3 + x**2 - 4. Solve i(t) = 0.
-1, 0, 2/3, 1
Let q(i) be the second derivative of 0*i**5 - 2/3*i**3 + 1/2*i**2 + 1/60*i**6 + 2*i + 0 - 1/4*i**4. Let j(o) be the first derivative of q(o). Factor j(h).
2*(h - 2)*(h + 1)**2
Let x(j) = -j**2 + 6*j + 43. Let o be x(10). Find d such that -4/5*d**2 - 1/5*d**o - 4/5*d + 0 = 0.
-2, 0
Let r = -1/292 - -595/3212. Solve -4/11*n - r + 4/11*n**3 + 2/11*n**4 + 0*n**2 = 0 for n.
-1, 1
Suppose -2*t = -t - 11. Let u = 14 - t. Factor 2/7*a**u + 0*a**2 + 0*a + 2/7*a**4 + 0.
2*a**3*(a + 1)/7
Let c be 6/(-60)*-31 - 2/20. Factor 1/4*b**c - 3/4*b + 0*b**2 - 1/2.
(b - 2)*(b + 1)**2/4
Let f(x) be the second derivative of 3/4*x**2 + x - 1/8*x**4 + 0 + 0*x**3. Solve f(m) = 0 for m.
-1, 1
Let d(w) be the second derivative of 0*w**2 - 5/18*w**4 + 0 + 3*w - 1/30*w**5 - 1/3*w**3 + 1/45*w**6. Find a such that d(a) = 0.
-1, 0, 3
Let h(p) be the second derivative of -2*p**6/45 - 11*p**5/60 + 7*p**4/36 + 11*p**3/18 - p**2/2 - 9*p. What is d in h(d) = 0?
-3, -1, 1/4, 1
Let q be (-11 - -12)/((-1)/(-5)). Factor o - 2*o**3 + 6*o - q*o.
-2*o*(o - 1)*(o + 1)
Let j be 1 + 16/4 + -1. Let s(i) = i**3 - 2*i**2 - 2*i + 2. Let l(u) = u - 1. Let q(v) = j*l(v) + 2*s(v). Factor q(o).
2*o**2*(o - 2)
Let o(l) be the second derivative of -1/18*l**3 + 1/60*l**5 + 0*l**2 + 1/90*l**6 + 0 - l - 1/36*l**4. Factor o(v).
v*(v - 1)*(v + 1)**2/3
Suppose 0 = 4*t - 24 + 4. Suppose 17 + 3 = t*q. Find a, given that -6*a**3 + 4*a**2 + 0*a**2 - 2*a + q*a**3 = 0.
0, 1
Let k be (0 + -1)*(-1 - -2). Let q be ((-3)/(-3))/(1 - k). Let -2*z**4 + 0 + 3*z**3 + 1/2*z**5 + q*z - 2*z**2 = 0. What is z?
0, 1
Let x(v) be the third derivative of -3*v**5/5 + 11*v**4/8 - v**3 - 15*v**2. Factor x(g).
-3*(3*g - 2)*(4*g - 1)
Let o(c) = -2*c**4 + 16*c**3 + 48*c**2 + 64*c + 28. Let z(k) = k**4 + 1. Let q(w) = -o(w) - 4*z(w). Determine g, given that q(g) = 0.
-2
Solve 14*t**4 - 6*t - 7*t**4 - t**5 + 17*t**2 - 19*t**3 - 16*t**3 + 18*t**3 = 0 for t.
0, 1, 2, 3
Let v(p) be the third derivative of p**7/70 - p**5/20 - 4*p**2. Factor v(j).
3*j**2*(j - 1)*(j + 1)
Factor r**4 + 1/2*r - 1/2*r**5 - r**2 + 0*r**3 + 0.
-r*(r - 1)**3*(r + 1)/2
Suppose 0 = 6*l - 2*l - 8. Factor -2 + t**l + 2*t + 2.
t*(t + 2)
Let v(l) be the second derivative of -l**8/1680 + l**6/300 - l**4/120 - 3*l**2/2 + l. Let d(b) be the first derivative of v(b). Find j such that d(j) = 0.
-1, 0, 1
Let 21*g**2 + 24*g**3 + 2*g + 3*g**3 + 2*g**5 + 4*g + g**5 + 15*g**4 = 0. Calculate g.
-2, -1, 0
Let o(w) be the third derivative of w**6/720 + w**5/180 + w**4/144 - 9*w**2. Factor o(d).
d*(d + 1)**2/6
Let k(w) be the third derivative of 0*w + 4*w**2 + 0*w**3 + 0 + 0*w**5 - 1/420*w**7 + 1/240*w**6 + 0*w**4. Factor k(q).
-q**3*(q - 1)/2
Let 0*w**2 - 2*w**2 + 14*w - 3*w**2 - 4*w - 5*w**3 = 0. Calculate w.
-2, 0, 1
Let x(p) = -p**5 + p**4 - p**2 + p - 1. Let y(f) = 6*f**5 + 54*f**4 + 63*f**3 + 27*f**2 + 12*f - 6. Let h(s) = -6*x(s) + y(s). What is d in h(d) = 0?
-2, -1, -1/2, 0
Factor -4/3*y**4 + 4/3*y**2 + 0 + y**3 + 1/3*y**5 - 4/3*y.
y*(y - 2)**2*(y - 1)*(y + 1)/3
Let u be ((-50)/35 - -2)/((-40)/(-84)). Factor -u*s - 3/5*s**2 + 0.
-3*s*(s + 2)/5
Let d(i) = -i**2 + 2 - 8 - 3 + 2*i + 3*i**2. Let u(t) = -t**2 - t + 4. Let g(w) = -2*d(w) - 5*u(w). Determine k, given that g(k) = 0.
-2, 1
Let t(r) = r. Let a(h) = -4*h**4 + 4*h**3 + 3*h**2 - 2*h + 1. Let s(f) = -a(f) + 2*t(f). Find z such that s(z) = 0.
-1, 1/2, 1
Let l(k) = k**4 - k**3 + 1. Let a(o) = -5*o**4 - 7*o**3 - 18*o**2 - 14*o - 7. Let d(u) = -2*a(u) - 6*l(u). Factor d(w).
4*(w + 1)**3*(w + 2)
Let a(p) = -5*p + 32. Let l be a(6). Suppose -1/3*b**l + 2/3*b - 1/3 = 0. What is b?
1
Let j(a) be the first derivative of 1/6*a**3 + 2 + a**2 + 2*a. Factor j(r).
(r + 2)**2/2
Let n = 341/815 + -3/163. Find r such that -n + 8/5*r - 8/5*r**3 + 2/5*r**2 = 0.
-1, 1/4, 1
Let s(g) be the second derivative of -1/2*g**3 - g**2 + 0 - 1/12*g**4 - 2*g. Let s(i) = 0. What is i?
-2, -1
Suppose 0 + 1/4*y**2 + 0*y = 0. Calculate y.
0
Let b(x) be the first derivative of -x**5 - 15*x**4/2 - 20*x**3 - 20*x**2 - 33. Determine o so that b(o) = 0.
-2, 0
Let q(v) be the third derivative of -1/20*v**6 + 0*v + 0 + 1/105*v**7 + 0*v**3 - v**2 - 1/12*v**4 + 1/10*v**5. Solve q(z) = 0.
0, 1
Factor 0 + 0*n**2 + 0*n**4 - 1/2*n**5 - 1/2*n + n**3.
-n*(n - 1)**2*(n + 1)**2/2
Let o(r) = 3*r + 4. Let z(w) = w - 1. Let k(c) = o(c) - 2*z(c). Let b be k(-6). Find u such that 10/3*u**4 + 0*u + 14/3*u**3 + b + 4/3*u**2 = 0.
-1, -2/5, 0
Factor -i + 5*i**2 + 0*i - 4*i**2.
i*(i - 1)
Suppose -2*y - 2*y - o = 4, 3*y + o + 3 = 0. Let a(p) = p**3 - p**2. Let r(t) = -3*t**3 - 5*t**2 + 16*t - 8. Let d(m) = y*r(m) - 5*a(m). Solve d(u) = 0 for u.
1, 2
Let s(k) = k**2 + 7*k + 2. Let q be (-238)/35 - (-1)/(-5). Let a be s(q). Solve z**2 + z**3 + 0*z**a + z**2 = 0.
-2, 0
Let x(o) be the first derivative of -4 + 0*o - 2/15*o**5 + 1/3*o**4 + 0*o**2 + 0*o**3. Factor x(f).
-2*f**3*(f - 2)/3
Suppose 0 = -4*u + g + 15, -2*u + 0*u + 2*g + 12 = 0. Solve 1 + z**3 - 1 + 2*z**2 - u*z**2 = 0.
0, 1
Factor 2*m**4 + 4*m**3 + 4*m**4 - 6*m**2 - 3*m**4 + 2*m**2.
m**2*(m + 2)*(3*m - 2)
Let b(l) be the second derivative of -l**6/105 - 4*l**5/35 - 3*l**4/7 - 16*l**3/21 - 5*l**2/7 + 45*l. Factor b(d).
-2*(d + 1)**3*(d + 5)/7
Factor 3/4*h**2 - 21/4 - 9/2*h.
3*(h - 7)*(h + 1)/4
Factor -14/5*d**2 - 2/5*d**3 - 24/5 - 32/5*d.
-2*(d + 2)**2*(d + 3)/5
Let k(w) = -2*w**3 + 38*w**2 - 110*w + 110. Let b(f) = -f**3 + 39*f**2 - 111*f + 111. Let h(a) = -2*b(a) + 3*k(a). Determine g so that h(g) = 0.
3
Suppose 2*z - 3 + 1 = 0. Let -5 + k**3 + k**2 + 4 + z = 0. Calculate k.
-1, 0
Let x = -57 + 235/4. Let k(c) = 2*c. Let z be k(1). Factor -9/4*q**z + 0 - x*q**3 - 1/2*q.
-q*(q + 1)*(7*q + 2)/4
Factor 27/7 + 9/7*a**2 - 1/7*a**3 - 27/7*a.
-(a - 3)**3/7
Let q(s) be the third derivative of s**5/10 + s**4/12 - 8*s**2. Suppose q(n) = 0. Calculate n.
-1/3, 0
Factor -1/6*q**2 - 1/6*q + 1/6 + 1/6*q**3.
(q - 1)**2*(q + 1)/6
Let z(q) = q**2 + q + 1. Let a = -2 + 9. Let o(r) = -5*r + a*r**4 - 5*r**4 - 2 - 9*r**2 - 1. Let v(s) = o(s) + 5*z(s). Find k such that v(k) = 0.
-1, 1
Let j(a) be the first derivative of 3*a**5/10 - 9*a**4/4 + 13*a**3/2 - 9*a**2 + 6*a + 11. Factor j(p).
3*(p - 2)**2*(p - 1)**2/2
Let j(g) = 35*g**2 - 28*g + 12. Let i(p) = -23*p**2 + 19*p - 8. Let m = -1 + -7. Let h(x) = m*i(x) - 5*j(x). Let h(b) = 0. What is b?
2/3
Let s(h) be the third derivative of -h**6/60 - 4*h**5/15 - 7*h**4/4 - 6*h**3 - 8*h**2. What is k in s(k) = 0?
-3, -2
Let o(d) = d**3 + d**2 - d + 1. Let f(g) = -2*g**3 - 2*g**2 + 4*g - 4. Let i(h) = -f(h) - 4*o(h). Factor i(v).
-2*v**2*(v + 1)
Suppose 2*x + 0*x - 6 = 0. Factor -m**x + 3*m*