(c - 3)*(c - 1)
Let x(u) be the second derivative of 2*u**6/15 + 18*u**5/5 + 97*u**4/3 + 96*u**3 + 128*u**2 + 20*u. Factor x(i).
4*(i + 1)**2*(i + 8)**2
Solve -12/5*t**4 + 36/5*t - 4/5*t**3 + 8/5 + 36/5*t**2 = 0.
-1, -1/3, 2
Let b be 3/2*(-4)/40. Let w = b - -2/5. Factor -1/4*k**3 - 1/4*k**2 + w*k + 0 + 1/4*k**4.
k*(k - 1)**2*(k + 1)/4
Let z(q) be the first derivative of 0*q**3 - 2 + 4/25*q**5 + 0*q - 1/10*q**4 + 0*q**2 - 1/15*q**6. Factor z(x).
-2*x**3*(x - 1)**2/5
Let g(y) = 5*y**4 + 75*y**3 + 369*y**2 + 625*y. Let q(x) = -5*x**4 - 75*x**3 - 370*x**2 - 625*x. Let n(f) = -5*g(f) - 6*q(f). Factor n(s).
5*s*(s + 5)**3
Factor -1/3*d + 1 - d**2 + 1/3*d**3.
(d - 3)*(d - 1)*(d + 1)/3
Let s = 1/52 - -2909/156. What is v in 10*v**3 - 10*v + 4/3 + 52/3*v**2 - s*v**4 = 0?
-1, 1/4, 2/7, 1
Let r(o) be the first derivative of -o**4/2 + 10*o**3/3 - 8*o**2 + 8*o + 13. Suppose r(a) = 0. What is a?
1, 2
Suppose 2*w = -2 + 10. Factor 0*t**w + 11*t - 7*t**2 + 2*t**4 - 7*t + t**2.
2*t*(t - 1)**2*(t + 2)
Let j(g) be the first derivative of 3*g**5/100 - 7*g**4/60 + 2*g**2/5 + g - 1. Let f(m) be the first derivative of j(m). Let f(s) = 0. What is s?
-2/3, 1, 2
Let n = 7 + -4. Let r = n + 0. What is u in 0 + 69*u**r + 4*u + 0 + 28*u**2 + 25*u**5 + 15*u**4 + 55*u**4 = 0?
-1, -2/5, 0
What is g in 6*g**4 + 6*g**3 + 2*g**5 + 6*g**2 + 0*g**2 - 4*g**2 = 0?
-1, 0
Suppose 132*g - 130*g = 0. Let b(l) be the first derivative of -4 - 2/25*l**5 + 1/5*l**2 + 2/15*l**3 - 1/10*l**4 + g*l. Find w such that b(w) = 0.
-1, 0, 1
Let l be 38/8 + (-5)/(-20). Let k be 8/(-16)*-2*3. Factor -13*u**k + u + 14*u**2 - 2*u**3 - l*u - u**3 + 6*u**4.
2*u*(u - 1)**2*(3*u - 2)
Let u be (-4 - 85/(-20))*8. Let 3/2*v + 0 + 3/4*v**u = 0. What is v?
-2, 0
Let i(z) be the second derivative of z**5/30 + z**4/18 - 5*z**3/9 + z**2 + 13*z. Suppose i(o) = 0. What is o?
-3, 1
Let q = -10 + 20. Suppose -w - 3*w + q = -z, -4*z - 8 = 0. Factor -w*k**2 + k**2 + 2*k + 3*k**2.
2*k*(k + 1)
Let i(q) = q**2 - 11*q + 6. Let v be i(11). Let s be v/15*(-10)/(-18). Factor -2/9*y + s*y**4 + 0 + 2/3*y**2 - 2/3*y**3.
2*y*(y - 1)**3/9
Let b(x) be the first derivative of -x**6/3 + 11*x**5/5 - 19*x**4/4 + 13*x**3/3 - 3*x**2/2 - 3. Suppose b(i) = 0. What is i?
0, 1/2, 1, 3
Let v(f) be the first derivative of -f**4/14 - 4*f**3/21 + 38. Factor v(m).
-2*m**2*(m + 2)/7
Factor -8*n - 80 - 9*n**2 - 40*n + 8*n + 4*n**2.
-5*(n + 4)**2
Let a(c) be the third derivative of 0 + 0*c + 0*c**3 + c**2 + 1/210*c**5 + 1/84*c**4. Determine w, given that a(w) = 0.
-1, 0
Determine x so that -14*x**2 + x**3 - 4*x**3 + 6*x**2 + 11*x**2 = 0.
0, 1
Let y(u) = -u**3 + u**2 - 1. Let r(j) = 9*j**3 + j**2 - 5. Let c(z) = r(z) - 5*y(z). What is q in c(q) = 0?
0, 2/7
Suppose -4*u + 15 = -5. Suppose u*x = 2 + 8. Factor 0 + 0*f**x + 1/5*f - 1/5*f**3.
-f*(f - 1)*(f + 1)/5
Suppose 0 = 4*s - 2*s - 4. Suppose 0 = -s*p - 3*b - 5, 2*b = -p + b - 1. Factor 2*a**4 + p*a**4 - 4*a**2 + 2 - 2*a**4.
2*(a - 1)**2*(a + 1)**2
Let i(u) be the third derivative of u**8/6720 + u**4/8 + 2*u**2. Let t(b) be the second derivative of i(b). Factor t(y).
y**3
Let l = -2163/4 + 541. Find n such that l*n - 1/2 + 1/4*n**2 = 0.
-2, 1
Let l(z) be the third derivative of z**6/80 - z**5/40 - 7*z**2. Factor l(v).
3*v**2*(v - 1)/2
Let y = 4880/9 - 542. Factor -4/9*z - y*z**4 - 10/9*z**2 - 8/9*z**3 + 0.
-2*z*(z + 1)**2*(z + 2)/9
Let q(x) be the second derivative of -x**5/70 - x**4/21 + x**3/21 + 2*x**2/7 - 26*x. Let q(a) = 0. Calculate a.
-2, -1, 1
Let g(f) be the third derivative of -2*f**5/15 - f**4 - 3*f**3 + 8*f**2. Factor g(i).
-2*(2*i + 3)**2
Let j(d) be the third derivative of -d**6/24 + d**5/6 + 5*d**4/6 - 20*d**3/3 + 4*d**2. Determine z so that j(z) = 0.
-2, 2
Let b(h) be the third derivative of h**10/453600 - h**8/60480 + h**5/30 - 3*h**2. Let q(k) be the third derivative of b(k). Factor q(t).
t**2*(t - 1)*(t + 1)/3
Suppose 4*v = -4*v. Let a(l) be the third derivative of -1/180*l**5 + 1/72*l**4 + 0*l - l**2 + 1/18*l**3 - 1/360*l**6 + v. Factor a(j).
-(j - 1)*(j + 1)**2/3
Let q be 1/(-1) + 3 + 6/6. Let z = -11 - -79/7. Factor 2/7*s**4 - z*s**q - 2/7*s**2 + 0 + 2/7*s.
2*s*(s - 1)**2*(s + 1)/7
Let x(v) = -4*v**3 - v**2. Let a be x(-1). Factor -9*t**5 + 29*t**5 + 8*t**a + 31*t**2 - 31*t**2 + 28*t**4.
4*t**3*(t + 1)*(5*t + 2)
Let q be 6/(-9) + (-5 - 250/(-42)). Factor -2/7*u - 4/7 + q*u**2.
2*(u - 2)*(u + 1)/7
Factor t**3 - t - 16*t**4 + t**2 - 10*t**4 + 25*t**4.
-t*(t - 1)**2*(t + 1)
Let h(n) = -n + 7. Let q be h(5). Factor 0*a - 18 + 12 + 9*a - 2*a**q - a**2.
-3*(a - 2)*(a - 1)
Factor 32*u - 22*u**2 + 4*u**3 + 2*u**2 + 64 + 12*u**2 - 20*u**2.
4*(u - 4)**2*(u + 1)
Let n(q) = -q. Let d(m) = m**2 + 1. Let w = 10 - 6. Suppose 2*l = -2*j - j - 19, -w*j = 20. Let y(t) = l*n(t) - d(t). Factor y(v).
-(v - 1)**2
Let -1/3*y**3 + 4/3 - y**2 + 0*y = 0. What is y?
-2, 1
Let w(t) be the first derivative of -t**6/40 + 3*t**5/80 + t**4/16 - t**3/8 - t + 2. Let m(v) be the first derivative of w(v). Factor m(q).
-3*q*(q - 1)**2*(q + 1)/4
Let t be 1/4 - 14/(-8). Factor t*b**3 + 5*b - 4*b - 1 + 4*b**4 - 3*b - 3*b**4.
(b - 1)*(b + 1)**3
Let m be (-6)/33 - (-25577)/19250. Let b = m + -1/250. Determine g, given that 4/7*g**2 - 6/7*g**5 + 2/7*g**3 - b*g**4 + 0 + 0*g = 0.
-1, 0, 2/3
Suppose 2*r - 10 = -4*q - 0, -3*q + 10 = 4*r. Let h be (10/(-6))/(-1 + 0). Factor 5/3*w - 2/3 - h*w**3 + 2/3*w**q.
-(w - 1)*(w + 1)*(5*w - 2)/3
Suppose -6*d + d = r + 25, r - 5 = d. Let u be ((-1)/6)/((-2)/16). Find w such that -u*w + r + w**3 + 5*w**5 - 4*w**2 + 26/3*w**4 = 0.
-1, -2/5, 0, 2/3
Let v(y) = -y**4 + 14*y**3 - 15*y**2 + 6*y. Let d(j) = 2*j**4 - 43*j**3 + 45*j**2 - 18*j. Let c(a) = -2*d(a) - 7*v(a). Solve c(g) = 0 for g.
0, 1, 2
Let l(a) be the second derivative of -a**7/28 - 7*a**6/60 - 3*a**5/40 + a**4/8 + a**3/6 - 15*a. Let l(b) = 0. What is b?
-1, 0, 2/3
Let k(p) be the third derivative of -p**5/40 + p**4/64 + 11*p**2. Suppose k(h) = 0. What is h?
0, 1/4
Let z(r) = -9*r**4 - 3*r**3 + 6*r**2 - 6*r + 6. Let n(p) = -p**4 - p + 1. Let x(y) = -6*n(y) + z(y). Determine c, given that x(c) = 0.
-2, 0, 1
Let l be (-76)/30 - (-4)/20. Let k = 31/12 + l. Suppose k*i**2 + 0*i + 0 = 0. What is i?
0
Let n(m) be the third derivative of m**7/1260 - m**5/180 + 2*m**3/3 - 4*m**2. Let c(i) be the first derivative of n(i). Determine z so that c(z) = 0.
-1, 0, 1
Let i(x) be the first derivative of -1/5*x**5 + 0*x - 1/12*x**6 + 0*x**4 - 1 + 1/3*x**3 + 1/4*x**2. What is s in i(s) = 0?
-1, 0, 1
Let x(f) = -f**4 + f**3 + f**2 - 3*f + 2. Let z(a) = -5*a**4 + 4*a**3 + 5*a**2 - 13*a + 9. Let p(m) = -9*x(m) + 2*z(m). Determine b so that p(b) = 0.
-1, 0, 1
Let c(g) be the third derivative of -g**6/30 + 6*g**2. Let c(x) = 0. What is x?
0
Let z be 2/100*30/252. Let y(k) be the third derivative of 2*k**2 + 0*k**3 - z*k**6 + 0*k**5 + 0 + 0*k**4 + 0*k. Solve y(l) = 0 for l.
0
Let c(d) = 3*d**5 + 7*d**4 + 6*d**3 + 3*d**2 + d + 5. Let t(a) = -5*a**5 - 11*a**4 - 9*a**3 - 5*a**2 - 2*a - 8. Let x(z) = 8*c(z) + 5*t(z). Factor x(p).
-p*(p - 2)*(p - 1)*(p + 1)**2
Let a(u) be the first derivative of -u**4/8 - u**3/6 + u**2/4 + u/2 + 7. Let a(b) = 0. Calculate b.
-1, 1
Let p(x) = 3*x**3 - 14*x**2 - 3*x + 14. Let c(n) = -2*n**3 + 9*n**2 + 2*n - 9. Let a(d) = 8*c(d) + 5*p(d). Factor a(v).
-(v - 2)*(v - 1)*(v + 1)
Let p = -4 + 7. Solve 2*m**4 - 3*m**p - 4*m**2 + 2*m**2 + m**3 + 2*m**5 = 0 for m.
-1, 0, 1
Let z be (-3 + 2)/((-2)/18). Let t = -4 + z. Factor t*y**3 + 12*y**2 + 1 - 1 + 2 + 9*y.
(y + 1)**2*(5*y + 2)
Let h(w) = -4*w**3 - 12*w + 10. Let a(u) = -u**3 + 1 - 14*u + 3*u + 10*u. Let r(d) = -6*a(d) + h(d). Factor r(x).
2*(x - 1)**2*(x + 2)
Let v(q) be the first derivative of -q**6/90 + 2*q**4/3 + 7*q**3/3 - 2. Let t(k) be the third derivative of v(k). Solve t(y) = 0 for y.
-2, 2
Factor 18/7*p**3 + 4/7 + 26/7*p + 40/7*p**2.
2*(p + 1)**2*(9*p + 2)/7
Find g, given that -4/7*g - 2/7*g**3 + 0 - 6/7*g**2 = 0.
-2, -1, 0
Let n(v) = -32*v**3 + 28*v**2 - 8*v - 4. Let t(g) = -31*g**3 + 29*g**2 - 9*g - 5. Let p(q) = 5*n(q) - 4*t(q). Factor p(i).
-4*i*(3*i - 1)**2
Let u(x) = -x + 7. Let b(y) = -y + 2. Let a be b(-3). Let l be u(a). Factor -c**2 - 27*c + 6 + 3*c**2 + 19*c**l.
3*(c - 1)*(7*c - 2)
Let s(l) be the second derivative of -5*l**4/12 + 5*l**3/6 - 3*l. Factor s(p).
