 0*t**3 - 3*t**5 - t**5 + 3*t**2 + 3*t**3 - 3*t**4 + t**5 = 0?
-1, 0, 1
Factor 2/3*n**4 - 2*n**2 + 0 + 0*n**3 + 4/3*n.
2*n*(n - 1)**2*(n + 2)/3
Suppose 7*z + 1 = 22. Let a(j) be the second derivative of -1/3*j**z + 1/12*j**4 - j + 0 + 1/2*j**2. Factor a(q).
(q - 1)**2
Let g be (1 + (-19)/9)*252/(-420). Solve -g*w**3 + 2/3*w**2 + 2/3*w - 2/3 = 0 for w.
-1, 1
Let n be (-10)/(-20) + (1 - 1). Let b(a) be the first derivative of n*a**2 - 1/2*a**4 - 2/3*a**3 + 1/6*a**6 + a + 2 + 1/5*a**5. What is u in b(u) = 0?
-1, 1
Let t(l) be the first derivative of 3 + 0*l - 1/5*l**2 + 1/3*l**3. Factor t(x).
x*(5*x - 2)/5
Suppose 5*a - 3 = 7. Let t(z) be the second derivative of -z + 1/3*z**3 - 1/2*z**a - 1/12*z**4 + 0. Determine b so that t(b) = 0.
1
Let j(d) be the second derivative of d**6/75 - d**5/50 - d**4/6 - d**3/5 + 14*d. Factor j(n).
2*n*(n - 3)*(n + 1)**2/5
Let c be 240/(-72)*3/(-4) - 2. Find v, given that -c*v**2 - 1/2 - v = 0.
-1
Let a(y) be the third derivative of 1/12*y**4 - 4*y**2 - 1/300*y**6 + 1/525*y**7 + 0*y + 0 - 2/15*y**3 - 1/50*y**5. Factor a(z).
2*(z - 1)**3*(z + 2)/5
Let c be ((-1)/(-3))/((-2)/(-24)). Factor 4*z**3 + z**2 - z**4 - z**c - 3*z**2 + 0*z**4.
-2*z**2*(z - 1)**2
Let s(m) = -16*m**4 + 10*m**3 + 6*m**2. Let d(l) = 3*l**2 - 3*l**4 - 2*l**2 + 2*l**3 + 0*l**2. Let t(v) = -11*d(v) + 2*s(v). Find p, given that t(p) = 0.
0, 1
Let m(g) be the first derivative of g**8/448 - 3*g**6/160 - g**5/40 - g**2 - 3. Let q(l) be the second derivative of m(l). Factor q(z).
3*z**2*(z - 2)*(z + 1)**2/4
Factor 6/7 + 1/7*m**2 + 5/7*m.
(m + 2)*(m + 3)/7
Suppose 3*l = -7 + 16. Let u(q) be the first derivative of 3 - 1/2*q**2 - 2*q + q**l. Factor u(m).
(m - 1)*(3*m + 2)
Let u be (-55)/(-84) + 12/(-21). Let g(s) be the second derivative of 0*s**2 - u*s**3 + 1/24*s**4 + 0 - 2*s. Determine a, given that g(a) = 0.
0, 1
Let 15*y**3 - y**2 + y**2 + 3*y**2 = 0. Calculate y.
-1/5, 0
Suppose 0 = -0*p + 4*p - 12. Let f(b) be the first derivative of 18/5*b**5 + 4*b + 2 - 22/3*b**p + 7*b**2 - 7/2*b**4. Factor f(r).
2*(r - 1)**2*(r + 1)*(9*r + 2)
Suppose -4*i + 8 = -0*i. Let x(l) be the third derivative of -1/36*l**4 + 0*l - 1/45*l**5 + i*l**2 + 0 - 1/180*l**6 + 0*l**3. Suppose x(k) = 0. What is k?
-1, 0
Let c(i) be the first derivative of 8 + 1/14*i**4 + 3/7*i**2 + 2/7*i**3 + 2/7*i. Factor c(j).
2*(j + 1)**3/7
Factor 0 - 2/9*q**2 + 0*q.
-2*q**2/9
Suppose 2*i + 5*h = 4*i - 26, -2*i - 3*h = 6. Factor 2*n + 4*n**2 - 5*n**2 - n - n**i + n**4.
n*(n - 1)**2*(n + 1)
Let i(h) = 5*h**2 + 15*h - 78. Let c(q) = 7*q**2 + 14*q - 77. Let k(s) = 3*c(s) - 4*i(s). Solve k(d) = 0.
9
Let r(i) be the second derivative of i**7/5040 - i**6/1440 + i**4/6 - 3*i. Let k(d) be the third derivative of r(d). Factor k(u).
u*(u - 1)/2
Let y be 8/(-210)*(-11)/44. Let m(u) be the third derivative of -y*u**5 - 2*u**2 - 1/84*u**4 + 0 + 0*u + 1/420*u**6 + 2/21*u**3. Factor m(g).
2*(g - 2)*(g - 1)*(g + 1)/7
Let g be (-3)/(-9) - 2/12. Let i(w) be the second derivative of w + 0*w**2 + 0 + 1/3*w**3 - g*w**4. Find k such that i(k) = 0.
0, 1
Let h(n) be the second derivative of n**6/10 + 9*n**5/20 + 3*n**4/4 + n**3/2 - 9*n. Factor h(u).
3*u*(u + 1)**3
Let l(d) be the third derivative of -d**5/360 + d**4/144 + d**2. Let l(w) = 0. What is w?
0, 1
Let d(y) be the second derivative of 0 + 10/21*y**4 + 4/147*y**7 - 4*y + 2/7*y**2 - 11/21*y**3 - 4/105*y**6 - 11/70*y**5. Find c, given that d(c) = 0.
-2, 1/2, 1
Suppose 4*v - 5 = -3*s, 0 = -4*s + 5*v + 10 + 38. Suppose -4*j = -s*j. Suppose j + 2/5*x**2 + 2/5*x = 0. Calculate x.
-1, 0
Let s = 7 + -2. Let f(p) be the third derivative of 0*p + 0*p**3 + 0*p**4 + p**2 + 0*p**s - 1/180*p**6 + 0 + 1/315*p**7. Find j such that f(j) = 0.
0, 1
Let o(a) be the first derivative of a**6/9 - 16*a**5/15 + 25*a**4/6 - 76*a**3/9 + 28*a**2/3 - 16*a/3 + 10. Factor o(u).
2*(u - 2)**3*(u - 1)**2/3
Let k = 1691/132 - -23/44. Let n(t) be the first derivative of -3/2*t**4 + 4*t**2 + 28*t**5 - k*t**3 + 0*t + 49/3*t**6 + 3. Determine o, given that n(o) = 0.
-1, 0, 2/7
Let z(c) be the third derivative of -1/135*c**5 + 1/27*c**3 + 0 + 1/945*c**7 + 3*c**2 + 0*c + 0*c**6 + 0*c**4. Factor z(t).
2*(t - 1)**2*(t + 1)**2/9
Suppose 0*g - 3*g + 6 = 0. Factor -4/7*y + 2/7 + 4/7*y**3 + 0*y**g - 2/7*y**4.
-2*(y - 1)**3*(y + 1)/7
Let n(f) = 4*f**2 + 2*f + 3. Let p(y) be the first derivative of y**3/3 + y**2/2 + y - 19. Let r be 3*2*-1*-1. Let k(m) = r*p(m) - 2*n(m). Factor k(h).
-2*h*(h - 1)
Let m(v) be the first derivative of v**4/5 + 68*v**3/15 + 126*v**2/5 - 324*v/5 + 44. Suppose m(c) = 0. Calculate c.
-9, 1
Factor -1/4*o**2 + 4*o + 17/4.
-(o - 17)*(o + 1)/4
Let w(r) = -5*r**5 + 5*r**4 + 3*r**3 + r**2 + 2*r + 6. Let p(k) = -k**5 + k**4 + k**3 + 1. Let x(h) = 30*p(h) - 5*w(h). Let x(t) = 0. Calculate t.
-1, 0, 1, 2
Find u, given that -86/11*u**2 + 60/11*u**3 - 8/11 + 48/11*u - 14/11*u**4 = 0.
2/7, 1, 2
Let n be 5 - 0/(-4) - 3. Determine s so that 2*s - 6*s**2 - n*s**2 + 8*s**4 - 2*s**5 + 0*s**2 + 6*s - 6*s**3 = 0.
-1, 0, 1, 2
Let b(m) be the second derivative of m**6/360 + m**5/120 + m**3 + 5*m. Let q(n) be the second derivative of b(n). Factor q(l).
l*(l + 1)
Let z(i) = -2*i**5 - 3*i**4 - 5*i**3 - 3*i**2 - 2*i + 3. Let n(k) = 5*k**5 + 7*k**4 + 11*k**3 + 7*k**2 + 5*k - 7. Let d(o) = 3*n(o) + 7*z(o). Factor d(t).
t*(t - 1)**2*(t + 1)**2
Suppose 4*t - z = 3*t + 1, 2*t - 3*z = -1. Determine o so that 2/3*o**2 + 0 + 0*o - 2/3*o**t + 1/3*o**3 - 1/3*o**5 = 0.
-2, -1, 0, 1
Let s(u) be the first derivative of 2*u**3/9 - 8*u/3 - 30. Factor s(f).
2*(f - 2)*(f + 2)/3
Suppose -s = -2*r + 4, -1 = 5*r - 3*s - 11. Let x be ((-4)/6)/(r - 3). Factor -10/3*z**4 + 0 - 2*z**3 - 4/3*z**5 + 2/3*z + x*z**2.
-2*z*(z + 1)**3*(2*z - 1)/3
Suppose h**3 - h**2 + 0*h + 0 - 1/4*h**4 = 0. What is h?
0, 2
Let c(o) be the second derivative of -18/5*o**5 + 0 + 2/3*o**6 - 3*o**2 - 4*o + 11/4*o**4 + 11/6*o**3. Factor c(p).
(p - 3)*(2*p - 1)**2*(5*p + 2)
Let f = 14710/9 + -1520. Let q = f + -114. Factor 0 - 2/9*h**2 + q*h.
-2*h*(h - 2)/9
Suppose -2/3*b**3 + 4/3*b + 0 + 2/3*b**2 = 0. Calculate b.
-1, 0, 2
What is r in 8/9 - 2/9*r**2 - 2/3*r = 0?
-4, 1
Let q be (-1 - (-10)/2) + -2. Factor 1/3*s**3 + 8/3*s**4 + 5/3*s**5 - 2/3*s**q + 0 + 0*s.
s**2*(s + 1)**2*(5*s - 2)/3
Let v(f) = -f**2 - 2. Let g(q) = 6*q**2 - 5*q + 4. Let l(i) = -17*i**2 + 14*i - 12. Let x(d) = -11*g(d) - 4*l(d). Let h(p) = 7*v(p) + 3*x(p). Factor h(k).
-(k + 1)*(k + 2)
Let z(u) be the first derivative of -u**4/8 - u**3/3 + u**2 + 4*u + 5. Solve z(b) = 0 for b.
-2, 2
Suppose 0*q + 2 = -4*t - 5*q, -q + 8 = -2*t. Let u be (2 - (7 + t)) + 4. Find j such that -4*j + 37/5*j**u - 6*j**3 + 4/5 + 9/5*j**4 = 0.
2/3, 1
Suppose -2*f - u + 5 = 0, -3*f - 3*u = -6*f + 3. Let w(i) be the second derivative of 2*i**f - 7/3*i**3 - 2*i + 0 + 5/6*i**4. Determine z, given that w(z) = 0.
2/5, 1
Let z(x) be the second derivative of 7/40*x**5 + 0*x**3 + 0 + x + 1/24*x**4 + 0*x**2 + 3/28*x**7 + 1/4*x**6. Determine k, given that z(k) = 0.
-1, -1/3, 0
Let c(v) be the third derivative of -v**5/100 - 4*v**4/5 - 128*v**3/5 + 6*v**2 - 4. Solve c(k) = 0 for k.
-16
Factor 5*a**2 - 16*a**3 - 7*a**2 - 3*a**2 + a**2.
-4*a**2*(4*a + 1)
Let m be 16/40 + 522/20. Let a = -26 + m. Factor a*k + 0 + 1/2*k**2.
k*(k + 1)/2
Let x(p) be the second derivative of -3*p**5/140 + 3*p**3/14 + 3*p**2/7 + 12*p. Factor x(l).
-3*(l - 2)*(l + 1)**2/7
Let l(h) be the third derivative of -h**6/24 - h**5/4 + 5*h**4/6 - 2*h**2. Factor l(d).
-5*d*(d - 1)*(d + 4)
Let u = -87/5 + 14621/840. Let n(p) be the second derivative of 0*p**2 + 0*p**4 + 0*p**6 - 3*p + 0*p**3 + 0 + u*p**7 - 1/80*p**5. Factor n(i).
i**3*(i - 1)*(i + 1)/4
Suppose 4*x - 19 = 3*x. Factor 18*q**4 - 2*q**2 + q**2 - q**3 - x*q**4 - q**3.
-q**2*(q + 1)**2
Let v be 3/((-6)/8) - (-1482)/285. Let 12/5*h**2 - 3/5*h**3 - 3*h + v = 0. What is h?
1, 2
Let l(g) be the third derivative of 1/120*g**5 - 3*g**2 + 0 - 1/24*g**4 + 0*g**3 + 0*g. What is m in l(m) = 0?
0, 2
Let u be 1 - (-5)/(15/9). Let a be 0 + 0 + u/6. Factor 2/3 - 2/3*v**2 + a*v - 2/3*v**3.
-2*(v - 1)*(v + 1)**2/3
Let p(t) = -t - 4. Let f be p(-4). Let w(c) be the first derivative of f*c + 1/2*c**4 + 0*c**2 - 2/5*c**5 - 1 + 0*c**3. Suppose w(o) = 0. What is o?
0, 1
Let j be (-25)/(-10)*12/15. Let 0 + 0*r - 2/3*r**4 