*(x - 1)
Factor 0 + 1/5*n**5 + 0*n + 2/5*n**2 + 4/5*n**4 + n**3.
n**2*(n + 1)**2*(n + 2)/5
Let v(s) be the second derivative of 0 - 1/3*s**3 - s + 0*s**2 + 2/3*s**4. Suppose v(z) = 0. Calculate z.
0, 1/4
Suppose 4*n = -5*g + 37, 8 = g + n - 0*n. Let a(y) be the third derivative of -1/9*y**3 + 1/72*y**6 + 0 + 1/72*y**4 + 0*y + 2/45*y**g - 2*y**2. Factor a(q).
(q + 1)**2*(5*q - 2)/3
Let g(h) = -h**2 + 11. Let d be g(-3). Factor -2/3*u**4 + 4/3*u**3 + 0*u - 2/3*u**d + 0.
-2*u**2*(u - 1)**2/3
Factor 6*u + u - 5*u - 2*u**4 - 2*u**3 + 2*u**2.
-2*u*(u - 1)*(u + 1)**2
Let r(g) be the first derivative of 2*g + 2 + 2/3*g**3 + 2*g**2. Factor r(o).
2*(o + 1)**2
Let f be 3*(2 - 1) + 1. Suppose -f*n - o = -4*o - 27, -5*n - 4*o = 5. Let -12*a**2 - 3*a**4 + 8*a**n - 2 + 3*a**4 - 2*a**4 + 8*a = 0. What is a?
1
Let j(z) be the first derivative of -4*z**5/5 + 2*z**4 + 4*z**3 + 3. Factor j(y).
-4*y**2*(y - 3)*(y + 1)
Let n be (1/(-21))/(1/(-2)*1). Let w(v) be the second derivative of 0 + 3/14*v**4 - n*v**3 + 3*v + 0*v**2 - 1/10*v**5. Factor w(a).
-2*a*(a - 1)*(7*a - 2)/7
Let g(q) be the second derivative of -q**6/15 + 3*q**5/5 - 4*q**4/3 - 2*q**3 + 9*q**2 - 29*q. Solve g(o) = 0.
-1, 1, 3
Let z(p) be the third derivative of 0 + 1/72*p**4 + 0*p**3 + 7/360*p**5 + 0*p - 1/80*p**6 + 3*p**2. Factor z(y).
-y*(y - 1)*(9*y + 2)/6
Let g be (-6)/9 + (-2)/(-2). Let -1/3*j**2 + 0 - g*j**3 + 2/3*j = 0. What is j?
-2, 0, 1
Let h(o) = -13*o - 37. Let a be h(-3). Find r such that 0*r - 2/9*r**a + 2/9 = 0.
-1, 1
Let z = 2067/440 + 9/88. Let u = -1 + 3. Determine q, given that 0 - 48/5*q**4 + 3/5*q + z*q**3 + 21/5*q**u = 0.
-1/4, 0, 1
Factor -4/9 - 4/9*h**2 - 8/9*h.
-4*(h + 1)**2/9
Let i(t) be the second derivative of t**7/210 + t**6/120 - t**5/60 - t**4/24 - 3*t**2/2 - 2*t. Let p(j) be the first derivative of i(j). What is d in p(d) = 0?
-1, 0, 1
Suppose -3*t + 3*n + 15 = 0, -3*n = -4*t - 3 + 23. Let f(q) be the third derivative of 0*q + 0 + 0*q**3 + 2*q**2 + 1/120*q**t - 1/24*q**4. Factor f(i).
i*(i - 2)/2
Suppose -25/2*k**3 - 45/2*k**2 - 5/2*k**4 - 5 - 35/2*k = 0. Calculate k.
-2, -1
Let -12/7 - 4/7*i + 12/7*i**2 + 4/7*i**3 = 0. What is i?
-3, -1, 1
Suppose -2*v - v = 4*g - 9, 3*v - 6 = -3*g. Suppose 2*f - 3 - g = 0. What is o in -3*o**3 - 5*o**3 + 5*o**3 + 4*o**f = 0?
0
Let p be 6 + 85/(-20) + (-3)/2. Find o such that -1/4*o**3 + 1/4*o**4 + 0 - p*o**2 + 1/4*o = 0.
-1, 0, 1
Let -15*v**3 - 14*v**3 + 8 + 33*v**3 + 6*v**2 - 16*v - 2*v**4 = 0. Calculate v.
-2, 1, 2
Let a(n) = -3*n**2 + 3*n + 2. Let q(t) = -t**2 + t + 1. Let d(k) = a(k) - 2*q(k). Factor d(i).
-i*(i - 1)
Factor -10*m - 32 + 2*m**5 + 34 + 4*m + 4*m**3 - 6*m**4 + 4*m**2.
2*(m - 1)**4*(m + 1)
Suppose 2*g + 2*a - 4 = -a, 10 = 5*g - a. Determine s, given that -2/5*s**5 - 1/5*s**g + 2/5*s**3 + 0 + 1/5*s**4 + 0*s = 0.
-1, 0, 1/2, 1
Let g(n) = -n**2 + n - 1. Let x(a) = -4*a**2 + 2*a - 1. Let p(j) = 3*g(j) - x(j). Suppose p(r) = 0. What is r?
-2, 1
Factor 2/11*m**2 + 6/11 + 8/11*m.
2*(m + 1)*(m + 3)/11
Let y(n) be the first derivative of 0*n + 5 + 1/7*n**2 - 2/21*n**3. Find u such that y(u) = 0.
0, 1
Let t(m) be the third derivative of m**5/240 - m**4/96 - 33*m**2. Solve t(p) = 0 for p.
0, 1
Let z be ((-35)/(-7) - 4)/((-5)/(-10)). Factor -3/2*x**z + 0 + 3/2*x**5 + 0*x - 3/2*x**3 + 3/2*x**4.
3*x**2*(x - 1)*(x + 1)**2/2
Let s = 8 - 6. Let n be ((-8)/12)/(s/(-24)). Factor 0 + 16/5*l + 28/5*l**3 - n*l**2 - 6/5*l**4.
-2*l*(l - 2)**2*(3*l - 2)/5
Let n(f) be the first derivative of -2*f**6/3 + 8*f**5/3 - 4*f**4 + 8*f**3/3 - 2*f**2/3 - 34. Factor n(s).
-4*s*(s - 1)**3*(3*s - 1)/3
Determine c so that -3*c**2 + 127*c**3 + 9*c**2 - 113*c**3 - 14*c - 10*c**4 + 4 = 0.
-1, 2/5, 1
Let l(j) = 6*j - 3. Let b be l(3). Let g = 29 - b. Solve 4*p + 22*p**3 - g*p**2 - 6*p**4 - 6*p**3 + 8 - 8 = 0.
0, 2/3, 1
Solve -q - 9*q**3 + 3*q - 2*q**2 + 19*q**3 - 10*q**2 = 0.
0, 1/5, 1
Let b(h) = -8*h**2 - 44*h - 36. Let r(y) = 3*y**2 + 15*y + 12. Let o(g) = -6*b(g) - 17*r(g). Factor o(z).
-3*(z - 4)*(z + 1)
Let y be 4/(-8)*(1 - 7). Let q be (3 - y)*-1 + 0. Determine p, given that -2/7*p**3 - 2/7*p**2 + q + 0*p = 0.
-1, 0
Let o(t) be the first derivative of -24*t**5/35 + t**4/2 - 2*t**3/21 - 7. Factor o(j).
-2*j**2*(3*j - 1)*(4*j - 1)/7
Let h(w) be the first derivative of w**4 + 12*w**3 + 54*w**2 + 108*w + 3. Solve h(p) = 0.
-3
Factor 1 + 3*n**4 + 2 - 3 - 3*n**2.
3*n**2*(n - 1)*(n + 1)
Solve -54/5*v**3 + 0 - 8/15*v + 42/5*v**4 + 64/15*v**2 = 0.
0, 2/7, 1/3, 2/3
Let m(z) = -12*z**3 + 7*z**2 + 2*z. Let x be 11/2 - 5/10. Let w(g) = -23*g**3 + 14*g**2 + 4*g. Let a(j) = x*m(j) - 3*w(j). Factor a(i).
i*(i - 1)*(9*i + 2)
Let d(r) be the third derivative of r**8/84 - 2*r**7/105 - r**6/30 + r**5/15 + 9*r**2. Factor d(l).
4*l**2*(l - 1)**2*(l + 1)
Let o(d) be the first derivative of -d**5/10 - d**4/8 + 3*d**3/2 - 11*d**2/4 + 2*d - 5. Solve o(i) = 0.
-4, 1
Let 4/7*c**5 - 32/7*c**2 + 8/7*c**4 - 8/7*c**3 - 4*c - 8/7 = 0. Calculate c.
-1, 2
Let r(j) = -2*j**4 - 32*j**3 - 84*j**2 - 108*j - 42. Let m(b) = b**3 + b**2 - 1. Let s(u) = 12*m(u) + r(u). Factor s(z).
-2*(z + 1)*(z + 3)**3
Let z = 16 - 14. Let h(a) be the first derivative of -1/2*a - 1/6*a**3 - z - 1/2*a**2. Factor h(q).
-(q + 1)**2/2
Let a be 15*3/18*2. Suppose 0 = -2*n - a + 11. Determine w, given that 7*w**3 - 5*w - 2 - w**4 + 3*w**4 + 3*w**3 - 5*w**n = 0.
-2, -1, -1/2, 1
Let l = 2 - 7. Let c(o) = o**2 + 5*o + 4. Let i be c(l). Let 1/4*j**3 - 1/4*j**2 + 0*j + 0 + 1/4*j**i - 1/4*j**5 = 0. Calculate j.
-1, 0, 1
Suppose -5 = 4*f - 17. Factor s - 2 - 4*s**f - s**2 + 3 + 3*s**3.
-(s - 1)*(s + 1)**2
Let n be (-1)/6*27/42. Let h = 1/7 - n. Factor 3/4*i - h*i**2 - 1/2.
-(i - 2)*(i - 1)/4
Let o(f) be the first derivative of -1/11*f**2 + 0*f - 4/33*f**3 - 1/22*f**4 + 3. Factor o(a).
-2*a*(a + 1)**2/11
Let m(u) be the second derivative of -u**8/2240 + u**7/280 - u**6/120 - 5*u**4/12 - 4*u. Let s(c) be the third derivative of m(c). Determine y so that s(y) = 0.
0, 1, 2
Let g be (-58)/28*2/(-15). Let p = g - -2/35. Factor 0*m - 2/3*m**3 - 1/3*m**2 - p*m**4 + 0.
-m**2*(m + 1)**2/3
Let a = 604/7 + -86. Factor -4/7*p + a + 2/7*p**2.
2*(p - 1)**2/7
Solve -4*q - 2*q**3 + 3*q + q**5 + 2*q = 0 for q.
-1, 0, 1
Let d(o) = -o**5 - 16*o**4 + 5*o**3 + 51*o**2 - 68*o + 19. Let f(m) = 8*m**4 - 2*m**3 - 26*m**2 + 34*m - 10. Let a(b) = 4*d(b) + 10*f(b). Factor a(u).
-4*(u - 3)*(u - 1)**3*(u + 2)
Let p(d) = -5*d + 11*d - 5*d + 5. Let o be p(-5). Factor -4*c**2 - 9/4*c**4 + o - 21/4*c**3 - c.
-c*(c + 1)*(3*c + 2)**2/4
Determine x so that -2/5*x**5 + 0 + 0*x**4 + 12/5*x**3 + 6/5*x - 16/5*x**2 = 0.
-3, 0, 1
Let t(n) be the second derivative of n**5/140 + 5*n**4/42 + 2*n**3/3 + 12*n**2/7 - 38*n. Solve t(h) = 0.
-6, -2
Factor -7/5*m**5 + 19/5*m**4 + 2/5*m - 3*m**3 + 1/5*m**2 + 0.
-m*(m - 1)**3*(7*m + 2)/5
Let r(x) be the third derivative of -x**6/720 - x**5/72 - 7*x**4/144 - x**3/12 + 9*x**2. Factor r(j).
-(j + 1)**2*(j + 3)/6
Find y such that 0 + 2*y + 1/5*y**2 = 0.
-10, 0
Let q(z) be the first derivative of -z**5/12 + z**4/3 - 2*z**3/9 + z - 1. Let t(s) be the first derivative of q(s). Factor t(n).
-n*(n - 2)*(5*n - 2)/3
Let l be 56/10 - 0/(-5). Let f = -74/15 + l. Solve f*u - 2/9 + 2/9*u**3 - 2/3*u**2 = 0.
1
Let w(t) be the first derivative of 2/5*t**5 - 4*t**6 + 1 + 2/3*t**3 + 21/2*t**4 - 4*t - 9*t**2. Determine l, given that w(l) = 0.
-1, -2/3, -1/4, 1
Let g = 6 + -2. Let w(y) = -y**3 - 18*y**2 - 19*y - 29. Let v be w(-17). Determine o, given that 1/2*o**v + 0 + 0*o**2 + 0*o**g - o**3 + 1/2*o = 0.
-1, 0, 1
Solve -2*l**4 + 3*l**4 + 3*l**3 - 2*l**3 = 0 for l.
-1, 0
Let v(y) be the first derivative of -3*y**8/448 + y**7/140 - y**6/480 + 3*y**2/2 - 7. Let f(m) be the second derivative of v(m). Determine x so that f(x) = 0.
0, 1/3
Factor -4 - 4*p**2 - 6*p - 8 - 10*p.
-4*(p + 1)*(p + 3)
Find x such that 0*x + 8/5 - 6/5*x**2 + 2/5*x**3 = 0.
-1, 2
Let k(b) be the first derivative of b**8/5040 - b**7/840 + b**6/360 - b**5/360 - b**3/3 - 2. Let y(n) be the third derivative of k(n). Solve y(a) = 0 for a.
0, 1
Let m(y) = 2*y**5 - 2*y**4 - 7*y**3 + y**2 + 8*y + 7. Let s(t) = -t**5 - t**4 - 1. Let g(v) = -5*m(v) - 15*s(v). What is z in g(z) = 0?
-2, -1, 1
Let x(y) = y**2 + 2*y - 5. Let u be x(-7). Determine o, given that 16*o**5 + 2*o**5 + 4*o - 58*o**