360/(-2). Let v = -598/5 + p. Solve 2/5*d**4 - 2/5*d**5 + v*d**3 + 0*d - 2/5*d**2 + 0 = 0 for d.
-1, 0, 1
Let z be (-48)/(-15) - (-6)/(-30). Let j(o) be the third derivative of 0*o**4 - 1/300*o**6 - 1/150*o**5 + 0*o**z + 0*o + 2*o**2 + 0. Factor j(w).
-2*w**2*(w + 1)/5
Determine q, given that -q + 2*q**2 - 3*q - 5*q**2 - 3 - 2*q = 0.
-1
Find x such that 54*x**2 - 131*x - 12*x**3 + 56 + 63 + 23*x - 38 + x**4 = 0.
3
Let n(o) be the third derivative of -4*o**2 + 0 - 1/9*o**3 - 1/24*o**4 + 0*o - 1/180*o**5. Factor n(u).
-(u + 1)*(u + 2)/3
Let m(q) be the third derivative of 0 - 1/120*q**5 + 1/12*q**3 - 3*q**2 + 0*q + 0*q**4. Factor m(z).
-(z - 1)*(z + 1)/2
Let x(p) be the third derivative of -1/180*p**6 + 0*p**3 + 0 + 0*p - 1/108*p**4 - 2*p**2 - 1/945*p**7 - 1/90*p**5. Factor x(l).
-2*l*(l + 1)**3/9
Determine z so that -7*z**4 - 3*z + 3*z + 8*z**4 + 5*z**3 = 0.
-5, 0
Factor 8/5*x + 4*x**2 + 4/5*x**4 + 0 + 16/5*x**3.
4*x*(x + 1)**2*(x + 2)/5
Let s(a) = -a**2 - a. Let f(o) = o**4 + 3*o**3 + 5*o**2 + o. Let r(t) = f(t) + 5*s(t). Factor r(p).
p*(p - 1)*(p + 2)**2
Let y(o) = 3*o - 4. Let q be y(3). Let r(z) be the third derivative of -1/36*z**4 - 2*z**2 - 1/180*z**q - 1/18*z**3 + 0*z + 0. Factor r(n).
-(n + 1)**2/3
Let w(o) = -o**3 - 10*o**2 + 6. Let k be w(-10). Suppose -5*z - k + 1 = 0, 4*g - z - 5 = 0. Let -g + s - 1/4*s**2 = 0. What is s?
2
Let i be 1/2 - (-25)/(-90). Factor i*v**2 + 0*v - 8/9.
2*(v - 2)*(v + 2)/9
Let l be (-248)/342 - 14/63. Let n = l - -92/57. Solve -n*z + 0*z**2 + 2/3*z**3 + 0 = 0 for z.
-1, 0, 1
Let c(d) = -2*d - 8. Let f be c(-6). Suppose 10 + 6 = 4*o, 0 = f*w - 3*o - 8. What is u in -6*u**w - 2*u**3 - 6*u**4 + 0*u**4 + 2*u**4 + 4*u**5 = 0?
-1, 0
Let v(o) be the first derivative of 0*o + 6 + 0*o**4 + 2/15*o**5 + 0*o**2 - 2/9*o**3. Find k such that v(k) = 0.
-1, 0, 1
Let l(h) = 0*h + 8*h**4 + 8*h**2 + 7*h + h**3 - 2*h**5 - 22*h**3. Let i(q) = q**3 - q. Let u(g) = -18*i(g) - 2*l(g). Factor u(m).
4*m*(m - 1)**4
Let s(z) = 31*z**2 + 2 + z - 30*z**2 + z**3 - 2. Let r(k) = -3*k**4 - 3*k**3 - 3*k**2 - 3*k. Let c(l) = r(l) + 3*s(l). Solve c(a) = 0.
0
Let z(v) be the first derivative of -v**5 + 5*v**4/2 - 5*v**3/3 - 7. Factor z(h).
-5*h**2*(h - 1)**2
Let m be (-3)/(-12) + (-76)/(-16). Let t(y) be the third derivative of 0*y**4 + 0 + 0*y + y**2 - 1/180*y**m + 0*y**3. Find g, given that t(g) = 0.
0
Factor -4/7*c**2 + 6/7*c**4 - 6/7*c + 4/7*c**3 + 2/7*c**5 - 2/7.
2*(c - 1)*(c + 1)**4/7
Let u be 4/(-26) + 6/39. Let a(z) be the second derivative of -1/18*z**4 + 3*z - 1/6*z**3 + u + 1/3*z**2. Find t, given that a(t) = 0.
-2, 1/2
Let w(z) be the second derivative of 4*z - 1/12*z**4 + 0*z**2 - 1/6*z**3 + 0. Factor w(b).
-b*(b + 1)
Let z(h) = -9*h**5 + 9*h**4 - 3*h**3 + 3*h**2. Let m(q) = -8*q**5 + 9*q**4 - 4*q**3 + 3*q**2. Let p(k) = 6*m(k) - 5*z(k). Factor p(l).
-3*l**2*(l - 1)**3
Let a(t) be the second derivative of 2*t + 1/3*t**2 + 1/9*t**3 + 0 + 1/72*t**4. Solve a(y) = 0.
-2
Let y be -1 - -2*(-5)/(-2). Suppose -2*a + y*c + 21 = c, 3*a - 24 = 3*c. Factor -3/2*x**2 - x**a - 1/4*x**4 - 1/4 - x.
-(x + 1)**4/4
Let c(a) be the second derivative of -a**7/168 - a**6/60 + a**4/24 + a**3/24 - 7*a. Suppose c(y) = 0. What is y?
-1, 0, 1
Suppose 3 = 3*k - 2*k. Suppose 5*u - k*d = -0*d, -3*d + 12 = -u. Suppose 0 + 1/3*b**u + 1/3*b**2 + 0*b = 0. Calculate b.
-1, 0
Let j(p) = -p**2 - p - 1. Let k(f) = -4*f**2 + f - 6. Let o(t) = 3*j(t) - k(t). Factor o(u).
(u - 3)*(u - 1)
Let r(i) be the second derivative of -i**5/5 - i**4/3 - 5*i. Factor r(q).
-4*q**2*(q + 1)
Suppose -14 = -s - 5*v, 2*s + 0*v - 4 = 2*v. Suppose 0 = -4*j - 2*a - 2, 5*a + 4 = -3*j - 15. Factor -15/2*y**s + 2*y**5 + 1/2 + 10*y**3 - 5*y**j + 0*y.
(y - 1)**4*(4*y + 1)/2
Let b(h) be the third derivative of -1/96*h**4 - 1/240*h**5 + 0 + 0*h + 0*h**3 - 3*h**2. Factor b(o).
-o*(o + 1)/4
Let i(m) be the third derivative of -m**7/63 + 13*m**6/180 - m**5/10 - m**4/36 + 2*m**3/9 - 4*m**2. Factor i(h).
-2*(h - 1)**3*(5*h + 2)/3
Suppose 2*y**3 - 6*y + 4*y**3 - y**4 + 22*y**4 + 11*y**2 - 32*y**2 = 0. Calculate y.
-1, -2/7, 0, 1
Let v(t) be the second derivative of 0*t**3 - 1/12*t**4 + 4*t + 0*t**2 + 0. Factor v(m).
-m**2
Let x(z) be the third derivative of -z**8/672 + z**7/60 - z**6/16 + 3*z**5/40 - 25*z**2. Factor x(l).
-l**2*(l - 3)**2*(l - 1)/2
Let c be (-21)/14*(13/(-6) + 2). Let c*t**2 - 1/2 + 1/4*t = 0. What is t?
-2, 1
Let z(r) = -r**3 - 5*r**2 + r + 7. Let c be z(-5). Let p be -1 + 2 + -1 + 12. Factor 5*x - 8*x**4 + 0*x + p*x**3 + c*x**5 - 3*x - 8*x**2.
2*x*(x - 1)**4
Let x(q) be the second derivative of -25/6*q**4 + 20/3*q**3 + 3*q - 4*q**2 + 0. Factor x(k).
-2*(5*k - 2)**2
Let x(r) = r**2 + 1. Let b be x(2). Let a = -241/2 + 123. Determine p so that -5/4*p + 5/2*p**2 + 5/4*p**4 + 1/4 - a*p**3 - 1/4*p**b = 0.
1
Let w be 44/165*(-10)/(-2). Let v(h) be the first derivative of w*h + 2 + 1/2*h**4 - 4/9*h**3 - h**2. What is k in v(k) = 0?
-1, 2/3, 1
Let x = 28 + -28. Solve 2/7*n + 2/7*n**3 - 4/7*n**2 + x = 0 for n.
0, 1
Factor -6/5 + 9/5*d - 3/5*d**2.
-3*(d - 2)*(d - 1)/5
Let r(j) be the second derivative of -6/5*j**5 - 3/2*j**2 + 3/10*j**6 + 0*j**3 + 0 + 3/2*j**4 - 4*j. Let r(k) = 0. What is k?
-1/3, 1
Let p = 1552 + -23272/15. What is x in -p*x**5 + 2/5*x**3 + 0 + 8/15*x**2 - 8/15*x**4 + 2/15*x = 0?
-1, -1/2, 0, 1
Let h = -8 - -10. Suppose -5*s + 6 = -h*s. Determine b, given that -1/4 + b**5 - s*b**3 - 1/4*b**4 + 1/2*b**2 + b = 0.
-1, 1/4, 1
Let n(k) = -k**4 + k**3 + k**2 - k - 1. Let r(p) = 40*p**4 - 172*p**3 + 48*p**2 + 340*p + 148. Let m(w) = 4*n(w) + r(w). What is b in m(b) = 0?
-2/3, 3
Let d(i) be the second derivative of -2*i + 0*i**2 - 1/50*i**5 + 1/75*i**6 + 0*i**3 - 1/30*i**4 + 1/105*i**7 + 0. Factor d(j).
2*j**2*(j - 1)*(j + 1)**2/5
Suppose -2*d + 2*p + 15 = d, -4*p = -2*d + 18. Suppose 0 + 2/3*i + 0*i**d - 1/3*i**4 + i**2 = 0. What is i?
-1, 0, 2
Let y be (-3)/(-2)*8/6. Suppose 4*x + x - 4*c = 23, 0 = y*x + 3*c. Factor 1/4*i - 1/4*i**4 + 0 - 1/4*i**x + 1/4*i**2.
-i*(i - 1)*(i + 1)**2/4
Let p be 96/36 - (-4)/(-6). Let f be 2/(-7) - (-414)/28. Determine j so that 12*j + 18*j**4 - 21/2*j**3 - f*j**p - 2 = 0.
-1, 1/4, 2/3
Let x(q) be the second derivative of 2*q + 0 - 1/2*q**4 - 1/3*q**3 + 2*q**2. Factor x(v).
-2*(v + 1)*(3*v - 2)
Let u(d) be the second derivative of d**6/15 + 3*d. Find m, given that u(m) = 0.
0
Let v(l) = -l**3 + 4*l**2 - 3*l + 3. Let g be v(3). Suppose -2*t**3 + 2*t - 4*t**5 + 2*t**g - 4*t**4 + 2*t**5 + 4*t**2 = 0. Calculate t.
-1, 0, 1
Suppose 0 = -2*d + 12. Suppose d - 7*f**2 + 3*f + 4*f**2 + 6*f + 6*f**2 = 0. What is f?
-2, -1
Suppose -64/3*z**3 + 2*z + 100/3*z**5 - 55/3*z**4 + 13/3*z**2 + 0 = 0. What is z?
-3/5, -1/4, 0, 2/5, 1
Let u(k) = -1 - 2*k**2 + 0 - k + 4*k + 3. Let m(w) = 2*w - w**2 + 3*w**2 + 2 - 4*w**2. Let i(x) = -3*m(x) + 2*u(x). Factor i(t).
2*(t - 1)*(t + 1)
Suppose 3*r = 4*r - 2. Suppose 0 + 2/9*h + 2/9*h**3 - 4/9*h**r = 0. What is h?
0, 1
Find n such that 0 + 2/3*n**2 + 8/3*n = 0.
-4, 0
Let w(s) be the second derivative of -s**5/5 + s**4/3 - 19*s. Factor w(q).
-4*q**2*(q - 1)
Let j = 50 - 248/5. Suppose -4*o - 3*z + 7 = -3, 5*o + 3*z - 14 = 0. Determine s so that 0 + 2/5*s**3 + 0*s + j*s**o + 0*s**2 = 0.
-1, 0
Let r(o) be the third derivative of -o**7/175 - o**6/60 - o**5/150 + o**4/60 + 37*o**2. Factor r(z).
-2*z*(z + 1)**2*(3*z - 1)/5
Solve -1/2*o**2 + o - 1/2 = 0.
1
Let l(h) = -8*h**3 + 36*h**2 + 8*h - 53. Let u(z) = 3*z**3 - 12*z**2 - 3*z + 18. Let w(a) = 6*l(a) + 17*u(a). Let w(x) = 0. What is x?
-4, -1, 1
Let k(t) = t**2 - 2. Let c be k(-2). Let b(h) = -h**3 - 7*h**2 - 6*h + 4. Let m be b(-6). Suppose 4*l + 2 - 11*l - m*l**2 + c*l**2 + 7*l**3 = 0. What is l?
-1, 2/7, 1
Let z(h) be the first derivative of -h**7/2520 + h**6/1080 + h**5/360 - h**4/72 - h**3 + 3. Let y(c) be the third derivative of z(c). Factor y(g).
-(g - 1)**2*(g + 1)/3
Let j(m) = m**3 + 6*m**2 + 8. Let t be j(-6). Let p(i) = -i**3 + 7*i**2 + 7*i + 10. Let f be p(t). Factor 4*l**f - l**2 - l**2.
2*l**2
Let o(s) = 2*s**2 - 21*s - 13. Let p(z) = 2*z**2 - 31*z - 19. Let d(r) = 7*o(r) - 5*p(r). Factor d(j).
4*(j + 1)**2
Let k = -55/2 - -28. Let 0*f**2 + 0*f**4 + 0*f - 1/2*f**5 + k*f**3 + 0 = 0. Calculate f.
-1, 0, 1
Factor 1/6*b**3 - 1/3*b + 1/6*b**2 + 0.
b*(b - 1)*(b + 2)/6
Suppo