h be 2/(5 + 3)*0. Let 0 + h*m**2 + 0*m + 3/5*m**3 + 3/5*m**5 + 6/5*m**4 = 0. Calculate m.
-1, 0
Let k(a) be the third derivative of -a**5/330 - 5*a**4/22 - 75*a**3/11 - 4*a**2 + 3. Factor k(s).
-2*(s + 15)**2/11
Let h(s) be the second derivative of -s**5/25 - 2*s**4/5 - 6*s**3/5 - 8*s. Find i, given that h(i) = 0.
-3, 0
Let g(j) be the first derivative of -5 - 1/3*j**3 - 2/5*j - 7/10*j**2. Factor g(d).
-(d + 1)*(5*d + 2)/5
Let o(c) be the second derivative of 3*c**5/20 + c**4/2 + c**3/2 + 8*c. Factor o(p).
3*p*(p + 1)**2
Let n(p) be the second derivative of p**6/15 - p**4/2 + 2*p**3/3 + 5*p + 8. Factor n(f).
2*f*(f - 1)**2*(f + 2)
Factor -15*f - 5*f**3 - 18*f**2 + 3*f**2 + 5 - 4 - 6.
-5*(f + 1)**3
Let x(y) be the third derivative of 0*y + 1/12*y**4 + 0 - 7*y**2 + 2/3*y**3 - 1/30*y**5. Find f, given that x(f) = 0.
-1, 2
Let n(o) be the first derivative of o**6/360 - o**5/60 + 2*o**3 - 8. Let b(c) be the third derivative of n(c). Factor b(y).
y*(y - 2)
Let v(i) be the third derivative of -i**8/30240 + i**6/1080 + i**5/60 + i**2. Let a(n) be the third derivative of v(n). Determine w, given that a(w) = 0.
-1, 1
Suppose 5*n - 16 = -4*u, 8 = u + u. Let y(d) be the third derivative of n*d**3 - 1/12*d**4 + 0 + d**2 + 0*d + 1/60*d**6 + 0*d**5. Factor y(k).
2*k*(k - 1)*(k + 1)
Determine k so that -1/2*k - 3/4*k**2 + 0 + 1/4*k**5 + 1/4*k**3 + 3/4*k**4 = 0.
-2, -1, 0, 1
Let q be 7 + (-296)/40 + (-12)/(-5). Factor -3/7*x**5 + 30/7*x**q + 3/7 - 30/7*x**3 - 15/7*x + 15/7*x**4.
-3*(x - 1)**5/7
Let v(d) be the third derivative of d**5/270 - d**4/54 - d**3/9 + 5*d**2. Factor v(t).
2*(t - 3)*(t + 1)/9
Let x(c) = 6*c**4 + 3*c**3 - 2*c**2 + c. Let y(k) = 7*k**4 + 3*k**3 - 3*k**2 + k. Let h = 2 - -3. Let v(m) = h*y(m) - 6*x(m). Factor v(r).
-r*(r + 1)**3
Let k(p) = p**2 - p. Let s be k(1). Let w be 12/(-36)*1/(-1). Factor s*c - 1/3*c**3 + 0 - w*c**4 + 0*c**2.
-c**3*(c + 1)/3
Let o(q) be the third derivative of -q**6/240 + q**5/200 + q**4/48 - q**3/20 + 35*q**2. Suppose o(u) = 0. Calculate u.
-1, 3/5, 1
Let s be 13/(-4) + 2/8. Let a = 9 + s. Factor 2*r**3 + 6 - a.
2*r**3
Let d(k) be the third derivative of -3*k**2 - 1/12*k**4 + 1/120*k**6 + 1/70*k**7 - 1/20*k**5 + 0 + 0*k + 0*k**3 + 1/336*k**8. Determine n so that d(n) = 0.
-2, -1, 0, 1
Let f(p) be the first derivative of 0*p**2 + 0*p - 1/12*p**3 + 1. Suppose f(q) = 0. What is q?
0
Let c(u) be the third derivative of -7*u**6/30 + 8*u**5/3 - 17*u**4/2 - 12*u**3 - 42*u**2. Let c(x) = 0. Calculate x.
-2/7, 3
Let v = -17 - -19. Let w(g) be the first derivative of -1/9*g**3 - 3 + 0*g**v + 1/3*g. Factor w(a).
-(a - 1)*(a + 1)/3
Let -40*k**3 + 14*k + 34*k - 24*k**2 + 39*k**4 - 16 - 2*k**5 - 7*k**5 = 0. What is k?
-1, 2/3, 2
Let w(t) be the third derivative of t**8/40320 - t**7/10080 - t**5/15 + t**2. Let a(y) be the third derivative of w(y). Let a(j) = 0. Calculate j.
0, 1
Let k be (1*-3)/((-3)/(-9)). Let f(q) = 3*q**3 + 3*q**2 + q + 1. Let d(w) = -6*w**3 - 6*w**2 - 3*w - 3. Let g(s) = k*f(s) - 4*d(s). Factor g(v).
-3*(v - 1)*(v + 1)**2
Let i(d) be the second derivative of -1/56*d**7 - 3/8*d**2 - 1/8*d**4 + 0 - 6*d + 3/40*d**6 + 3/8*d**3 - 3/40*d**5. Factor i(z).
-3*(z - 1)**4*(z + 1)/4
Let l(c) be the second derivative of 9*c**5/20 - 7*c**4/12 - c**3/3 + c. Solve l(k) = 0 for k.
-2/9, 0, 1
Let r(w) be the second derivative of w**4/30 - 8*w**3/15 + 16*w**2/5 - 9*w. Let r(c) = 0. Calculate c.
4
Factor -12 + 75*t + 45*t**2 + 5*t**3 - 100 - 13.
5*(t - 1)*(t + 5)**2
Suppose -2 = 4*t - 2. Let u(n) be the third derivative of -1/60*n**6 - 2*n**2 + 1/210*n**7 + t*n**4 + 0*n + 1/60*n**5 + 0*n**3 + 0. Factor u(p).
p**2*(p - 1)**2
Let a(m) be the third derivative of -1/60*m**6 + 0*m**4 + 0*m**3 + 1/60*m**5 + 0 + 3*m**2 + 0*m + 1/210*m**7. Factor a(p).
p**2*(p - 1)**2
Let t(o) be the first derivative of o**4/20 + 4*o**3/15 + o**2/2 + 2*o/5 - 18. Factor t(m).
(m + 1)**2*(m + 2)/5
Suppose 3/4*h**2 - 1/4*h**4 + 1/2*h**3 + 1 - 2*h = 0. Calculate h.
-2, 1, 2
Suppose 4*n - 48 = -2*j, 0*n - 4*j - 36 = -3*n. Suppose 13/2*r - 1 + 9/2*r**3 - n*r**2 = 0. Calculate r.
1/3, 2
Let w be (3 - 0) + 3 + (0 - 3). Let u(a) be the second derivative of a + 1/15*a**w + 0 + 0*a**2 - 1/30*a**4. Factor u(n).
-2*n*(n - 1)/5
Let a = -76/9 - -434/45. Solve -a - 2/5*p**2 + 8/5*p = 0.
1, 3
Suppose 33/8*z - 9/8*z**3 + 9/8*z**2 + 9/4 - 3/8*z**4 = 0. Calculate z.
-3, -1, 2
Let f(v) be the first derivative of -3*v**5/10 - 23*v**4/16 - 3*v**3/2 + 3*v**2/2 + 2*v + 6. Determine y so that f(y) = 0.
-2, -1/2, 2/3
Let f(d) be the second derivative of -6*d**6/5 - 48*d**5/5 - 88*d**4/3 - 128*d**3/3 - 32*d**2 - 9*d. Factor f(w).
-4*(w + 2)**2*(3*w + 2)**2
Factor -1/2*l**4 + 1/2*l**5 + 0 + 1/2*l**2 + 0*l - 1/2*l**3.
l**2*(l - 1)**2*(l + 1)/2
Let i(y) = -y**2 + 6*y + 2. Let d be i(6). What is m in -2*m + 2*m + m**2 - 2 - d = 0?
-2, 2
Let w(s) be the first derivative of -s**7/105 + 2*s**6/75 - s**5/50 + 3*s - 3. Let r(u) be the first derivative of w(u). Suppose r(d) = 0. Calculate d.
0, 1
Let a(v) = v**4 + v**3 - v**2 + v - 1. Let u(t) = 12*t + 6*t**3 - 12 + 2*t**3 - 15*t**2 + 4*t**3 + 15*t**4. Let f(n) = -12*a(n) + u(n). Solve f(z) = 0.
-1, 0, 1
Let k(c) be the first derivative of -c**4 + 2/5*c**5 + 2/3*c**3 + 0*c**2 + 0*c - 5. Determine a so that k(a) = 0.
0, 1
Suppose 0 = -4*v - 3*i - 9, -5*i - 15 = 4*v - 0*i. Suppose -4/5*k + v - 2/5*k**2 = 0. What is k?
-2, 0
Suppose 11*x = 8*x + 12. Let a(p) be the second derivative of -1/42*p**x + 0*p**3 + 1/7*p**2 + 0 - 2*p. Factor a(m).
-2*(m - 1)*(m + 1)/7
Let z = -11 - -14. Let q(f) be the third derivative of -1/60*f**5 + 0*f + 0 + 1/6*f**z - 2*f**2 + 0*f**4. Factor q(m).
-(m - 1)*(m + 1)
Let x(u) be the first derivative of 5 + 1/4*u**2 + 0*u - 1/4*u**3 - 9/16*u**4. Suppose x(r) = 0. Calculate r.
-2/3, 0, 1/3
Let g be -3 - 5*(1 - (-16)/(-10)). Let h(a) be the second derivative of -2/7*a**4 - 1/10*a**5 + a - 1/7*a**3 + g + 2/7*a**2. What is x in h(x) = 0?
-1, 2/7
Suppose 3*g - 10 + 4 = 0. Suppose -2/3*w**4 + 4/3*w**3 + 2/3*w - 2/15 + 2/15*w**5 - 4/3*w**g = 0. Calculate w.
1
Solve 0*g**3 + 7*g + 2*g**3 + 3*g**3 + 17*g**2 - g = 0.
-3, -2/5, 0
Let c be (-6 + 3)/(42/(-12)). Determine k, given that -2/7*k**2 + c*k - 4/7 = 0.
1, 2
Let m(o) = -14*o**4 + 64*o**3 - 20*o**2 + 14*o - 22. Let s(w) = -2*w**4 + 9*w**3 - 3*w**2 + 2*w - 3. Let v(g) = -6*m(g) + 44*s(g). Let v(t) = 0. Calculate t.
0, 1
Let q = 3 + 1. Suppose 0 = -q*t + 2*t + 8. Find s, given that 0*s**2 + 5*s**4 - 5*s**4 + 11*s**3 + 12*s**2 - t*s - 30*s**4 - 25*s**5 = 0.
-1, 0, 2/5
Let z(i) be the first derivative of i**6/96 + i**5/80 - i**4/8 + i**3/6 - i**2/2 + 2. Let r(p) be the second derivative of z(p). Find w such that r(w) = 0.
-2, 2/5, 1
Let p(d) be the second derivative of 0 - 1/6*d**4 + 0*d**2 + 1/6*d**3 + 1/20*d**5 - 3*d. What is w in p(w) = 0?
0, 1
Determine z, given that -8/9*z**3 + 2/9 + 8/9*z - 2/9*z**2 = 0.
-1, -1/4, 1
Factor 3*d**3 - 9*d**2 - 6*d + 3*d - 2782 + 2791.
3*(d - 3)*(d - 1)*(d + 1)
Let i be -5*6/15*-1. Factor 2/3*w**i + 2*w + 4/3.
2*(w + 1)*(w + 2)/3
Let x = 1421/10 + -142. Let f(v) be the second derivative of 0 + 1/6*v**4 - v + 0*v**2 - 1/3*v**3 - 1/15*v**6 + x*v**5. Factor f(z).
-2*z*(z - 1)**2*(z + 1)
Let s(n) = -n**2 + 7*n - 4. Let o be s(6). Suppose -5*r + 35 = 4*g, 2*r + 14 = 2*g + 2*g. Suppose 2*f**2 - 2*f**r + 0*f + 2*f**2 - o*f = 0. Calculate f.
0, 1
Let b be (-26)/(-91) - (3/(-28))/(-3). Determine f, given that b*f**3 - 1/2*f**4 + 0 + 1/4*f**5 + 0*f**2 + 0*f = 0.
0, 1
Let n(t) = -14*t**3 + 6*t**2 + 14*t + 2. Suppose -3 + 11 = r. Let h(q) = 5*q - 2*q**3 - q**2 + 3*q**2 + 1 - 3*q**3. Let c(x) = r*h(x) - 3*n(x). Factor c(o).
2*(o - 1)**2*(o + 1)
Let f be 2 - -1 - (0 + -3). Let b = f - 4. Factor 2/3 + 1/3*g - 1/3*g**b.
-(g - 2)*(g + 1)/3
Let w(x) = -300*x**3 + 44*x**2 + 176*x + 48. Let n(d) = -100*d**3 + 15*d**2 + 59*d + 16. Let s(v) = 16*n(v) - 5*w(v). Factor s(g).
-4*(g - 1)*(5*g + 2)**2
Let d be 26/(-273) - (-2)/21. Factor 0 + d*v + 2/5*v**2 + 2/5*v**3.
2*v**2*(v + 1)/5
Suppose 0 = -2*j + 3*j - 3. Factor -p**j - p - 4*p + 6*p.
-p*(p - 1)*(p + 1)
Let n(d) = -23*d**3 - 5*d**2 + 3*d + 3. Let y(o) = o**3 - o**2 - o - 1. Let m(p) = n(p) + 3*y(p). Find a such that m(a) = 0.
-2/5, 0
Let h(p) = 2*p**4 + 5*p**3 - 8*p**2 + p + 3. Let r(k) = -k**4 - 5*k**3 +