/5*u**4 - 2/5*u - 2/5*u**2 + i + 2/5*u**3.
2*u*(u - 1)*(u + 1)**2/5
Suppose n + 0 - 1/3*n**2 = 0. What is n?
0, 3
Let m(b) be the third derivative of b**8/336 - b**6/120 - 18*b**2. Factor m(l).
l**3*(l - 1)*(l + 1)
Suppose -m - 36 = -19*m. Factor m*q**2 + 0 + 4/3*q.
2*q*(3*q + 2)/3
Let a(n) be the second derivative of -1/5*n**2 + 3*n + 0 - 7/60*n**4 - 3/10*n**3. Find s, given that a(s) = 0.
-1, -2/7
Let y(d) be the third derivative of d**7/12600 + d**6/3600 + d**4/6 - 3*d**2. Let x(g) be the second derivative of y(g). Determine l so that x(l) = 0.
-1, 0
Let 2 + 5/2*y**2 - 1/2*y**3 - 4*y = 0. Calculate y.
1, 2
Let f(x) be the first derivative of 0*x**5 + 0*x**3 + 1/21*x**6 + 1/7*x**2 - 2 + 0*x - 1/7*x**4. Determine r, given that f(r) = 0.
-1, 0, 1
Let m(u) be the first derivative of 0*u**3 + 0*u + 2 + 0*u**4 - u**2 - 1/270*u**5. Let b(o) be the second derivative of m(o). Factor b(h).
-2*h**2/9
Factor 35*n**4 + 8 - 10*n**2 - 6*n**3 + 37*n**4 + 6*n - 70*n**4.
2*(n - 4)*(n - 1)*(n + 1)**2
Factor 2*a + 0*a**2 + 2 - a**2 + 1.
-(a - 3)*(a + 1)
Let l be 2/7 - 35/(-49). Let s(k) be the first derivative of 1/2*k**4 + 4/3*k**3 + 0*k + 0*k**2 - l. Solve s(z) = 0.
-2, 0
Find b such that 25*b - 168*b**2 + 84*b**2 + 89*b**2 = 0.
-5, 0
Let z be (-115)/39 + (9 - 6). Let i = 8/13 + z. Find v such that 0*v + 2/3*v**3 + 0 + 0*v**2 + i*v**4 = 0.
-1, 0
Let s(i) be the first derivative of -5*i**3/3 - i**2/2 - 24. Determine l so that s(l) = 0.
-1/5, 0
Factor 0 - y**3 - 1/2*y**4 + 0*y**2 + 0*y + 1/2*y**5.
y**3*(y - 2)*(y + 1)/2
Let q(x) be the second derivative of -x**5/40 + x**4/4 - 11*x**3/12 + 3*x**2/2 + 2*x + 8. Factor q(z).
-(z - 3)*(z - 2)*(z - 1)/2
Let a = -359/4 - -90. Let o(n) be the first derivative of 2 + 1/4*n - a*n**2 + 1/12*n**3. Solve o(c) = 0.
1
Factor -36/5*j - 4/5 - 81/5*j**2.
-(9*j + 2)**2/5
Suppose -r - 9 = 3*t - 20, -4*t + r + 3 = 0. Find k, given that 3/5*k**t - 6/5*k + 3/5 = 0.
1
Let t be -1 + 0 + -2 - (10 - 13). Let s(o) be the second derivative of -2*o**2 + 2/3*o**3 + t + 3*o - 1/12*o**4. Factor s(y).
-(y - 2)**2
Let l(i) = 3*i**5 - 5*i**4 - 12*i**3 + 10*i**2 + 7*i - 7. Let b(h) = h**5 + h**3 - h + 1. Let q(w) = -2*b(w) - l(w). Find p, given that q(p) = 0.
-1, 1
Let s be (-14)/(-2)*12/42. Let j be 0/((-1 - 1)/2). Solve 2*d**4 + d**s + j*d**2 - 5*d**3 + d**2 + d**3 = 0.
0, 1
Let p be (1 + -1)/(1 - 0). Let x = p + 2. Factor u - x*u - u**5 + 2*u**3 + 0*u**3.
-u*(u - 1)**2*(u + 1)**2
Let y(d) = 3*d**3 - 7*d**2 - 5*d - 5. Let f(u) = u**3 - 3*u**2 - 2*u - 2. Let r be 1*5/(5/(-2)). Let g(s) = r*y(s) + 5*f(s). Factor g(i).
-i**2*(i + 1)
Let i(x) = -x**2 - 4*x + 7. Let n be i(-5). Suppose -3 = -5*b + 2*b. Factor -12*w**2 - n*w - 5*w + 0*w - b.
-(3*w + 1)*(4*w + 1)
Let j be 14/40 - 8/(5 + -37). Find q such that 0 - j*q**2 - 2/5*q - 1/5*q**3 = 0.
-2, -1, 0
Let h(o) be the second derivative of 5*o + 11/3*o**3 + 2*o**2 + 7/10*o**5 + 0 + 8/3*o**4. Find z, given that h(z) = 0.
-1, -2/7
What is i in 4/9*i**2 + 2/9*i**5 - 2/9*i**4 + 2/9*i - 4/9*i**3 - 2/9 = 0?
-1, 1
Suppose 0*w = w + 5. Let a(y) = -3*y**3 + 5*y + 4. Let v(d) = -7*d**3 + 11*d + 9. Let i(g) = w*a(g) + 2*v(g). Solve i(p) = 0.
-1, 2
Factor -20*a**2 - 4 + 1 - 21 - 68*a.
-4*(a + 3)*(5*a + 2)
Let q(r) be the first derivative of r**6/24 + 7*r**5/60 + r**4/12 + 3*r**2/2 + 2. Let x(b) be the second derivative of q(b). Factor x(c).
c*(c + 1)*(5*c + 2)
Let h be 6/(-10) - 127/2905. Let u = -6/83 - h. Determine j, given that -2/7*j**2 + u*j**3 - 2/7*j**4 + 0 + 0*j = 0.
0, 1
Let w be (-1)/(-2)*(3 + 1). Let m = -196 - -393/2. Suppose -m*n + 0 - 1/2*n**w = 0. Calculate n.
-1, 0
Let f be 4/3 + 3/(-3). Let d(m) = -m - 7. Let x be d(-7). Suppose -1/3*t**3 + 0 + 1/3*t**5 - 1/3*t**2 + f*t**4 + x*t = 0. Calculate t.
-1, 0, 1
Let t(w) be the third derivative of w**8/2520 + w**7/1260 - w**6/540 - w**5/180 - w**3/6 - w**2. Let p(z) be the first derivative of t(z). Factor p(c).
2*c*(c - 1)*(c + 1)**2/3
Let h be ((-1)/(-3))/((-2)/(-12)) + 1. Let 3*z + 0 - 3/2*z**h - 3/2*z**2 = 0. What is z?
-2, 0, 1
Suppose 0 = 11*h - 9*h - 12. Suppose -4*u + 2 + h = 0. Factor -u*i**2 + 1 + 1/2*i - 3/2*i**3.
-(i + 1)**2*(3*i - 2)/2
Suppose -110 = -5*l - q, 0 = -2*l - 2*q + 19 + 25. Suppose -5*f = -l + 7. Let 0 - 2/3*v - 4/3*v**2 - 2/3*v**f = 0. Calculate v.
-1, 0
Let f(a) be the second derivative of a**6/135 + a**5/45 - 2*a**3/27 - a**2/9 + 5*a. Factor f(v).
2*(v - 1)*(v + 1)**3/9
Factor 1/5*n**2 + 2/5 - 3/5*n.
(n - 2)*(n - 1)/5
Let p(b) be the second derivative of b**5/4 - 5*b**3/6 + 6*b. Suppose p(y) = 0. Calculate y.
-1, 0, 1
Determine x, given that 3*x - 4*x + 7*x - 3*x**3 - 3*x**2 = 0.
-2, 0, 1
Let o(r) be the second derivative of r**5/30 + r**4/6 - 4*r**2/3 - 14*r. Suppose o(b) = 0. Calculate b.
-2, 1
Let n(j) be the third derivative of j**8/2016 - j**6/240 + j**5/180 + 11*j**2. Factor n(q).
q**2*(q - 1)**2*(q + 2)/6
Let v be (-48)/(-70) + (-2)/5. Let g = -3/25 - -71/175. Factor v*q - 4/7 + g*q**2.
2*(q - 1)*(q + 2)/7
Let b(s) be the first derivative of -s**5/5 + s**4 - 5*s**3/3 + s**2 + 4. Suppose b(w) = 0. What is w?
0, 1, 2
Let i(h) be the first derivative of -h**6/3 + 6*h**5/5 - h**4/2 - 2*h**3 + 2*h**2 + 10. Solve i(b) = 0 for b.
-1, 0, 1, 2
Let r(a) = -13*a**2 - 13*a + 8. Let y(q) = 3*q**2 + 3*q - 2. Let g(t) = -2*r(t) - 9*y(t). Factor g(b).
-(b - 1)*(b + 2)
Let x(k) be the first derivative of k**5/100 - k**3/30 - 8*k - 6. Let c(s) be the first derivative of x(s). Solve c(i) = 0 for i.
-1, 0, 1
Let w be (-3 + 2)/((-2)/4). Let p(k) be the third derivative of -1/30*k**5 + 0*k**3 - w*k**2 + 0 + 0*k + 0*k**4. Find u such that p(u) = 0.
0
Let l be (-6)/7*1*7. Let p = l + 8. Factor -2*t**2 + p - 6 - 4*t + t**2.
-(t + 2)**2
Factor -5/3 - 7/3*w**2 - 11/3*w - 1/3*w**3.
-(w + 1)**2*(w + 5)/3
Let c(v) be the second derivative of -v**6/60 + v**5/15 - v**4/12 - 2*v**2 + 2*v. Let g(b) be the first derivative of c(b). Find l, given that g(l) = 0.
0, 1
Let y = 1025/1204 + 1/172. Let 6/7*d**2 - 2/7*d**3 - y*d + 2/7 = 0. Calculate d.
1
Let a(h) be the second derivative of 1/10*h**5 + 0*h**2 + 7*h + 3/10*h**4 + 0 - 1/15*h**7 - 3/25*h**6 + 2/15*h**3. Solve a(u) = 0 for u.
-1, -2/7, 0, 1
Solve 1/2*b**2 + 8 - 4*b = 0.
4
Let x(m) be the third derivative of 8/105*m**7 + 2*m**3 - 7/15*m**5 - 11/30*m**6 + 0*m + 11/6*m**4 + 0 - 9*m**2. Let x(s) = 0. Calculate s.
-1, -1/4, 1, 3
Let w(r) be the second derivative of -1/14*r**2 + 0 + 1/84*r**4 + 9*r + 0*r**3. Factor w(g).
(g - 1)*(g + 1)/7
Factor 14*o**3 - 28*o**3 - 4*o + 15*o**3.
o*(o - 2)*(o + 2)
Let d = 399 - 1187/3. Suppose d*t**2 + 0 + 4/3*t - 14/3*t**3 = 0. What is t?
-2/7, 0, 1
Let h be (30/(-35))/(-6) + (-50)/(-630). Factor 4/3*a**2 + 16/9 + 8/3*a + h*a**3.
2*(a + 2)**3/9
Suppose -3 + 1 = 4*t + 5*c, -t = 2*c + 2. Factor 0*s + 0 + 3/5*s**3 + 6/5*s**t.
3*s**2*(s + 2)/5
Let b(h) be the first derivative of 1 - 3*h**2 - 14/15*h**3 - 1/10*h**4 - 18/5*h. Factor b(x).
-2*(x + 1)*(x + 3)**2/5
Let r(v) = 6*v**2 - 2. Let p be r(-2). Suppose -p*z + 7*z - z**3 + 7*z + 5*z - 1 - 3*z**2 = 0. Calculate z.
-1
Let w(j) = 20*j**4 + 4*j**3 - 28*j**2 - 4*j + 24. Let u(a) = -13*a**4 - 3*a**3 + 19*a**2 + 3*a - 16. Let v(c) = -8*u(c) - 5*w(c). Factor v(n).
4*(n - 1)**2*(n + 1)*(n + 2)
Let j be 6/18*(2 + -1). Let q(g) be the third derivative of 0 + j*g**3 - 1/24*g**4 + 0*g + 1/8*g**6 + g**2 - 4/15*g**5. Factor q(f).
(f - 1)*(3*f + 1)*(5*f - 2)
Let l(d) = d - 3. Let p be l(3). Suppose 5*u = a - 0*u - 4, 4*a - 5*u - 16 = 0. Suppose 0 + 0*z**a - 2/3*z**5 + 0*z + 2/3*z**3 + p*z**2 = 0. What is z?
-1, 0, 1
Factor 0*o**3 - 8*o + 2*o**2 - 2*o**4 + 10*o + 0*o - 2*o**3.
-2*o*(o - 1)*(o + 1)**2
Let k(j) be the second derivative of j**4/18 + 2*j**3/9 + j**2/3 - 6*j. Find g such that k(g) = 0.
-1
Let s = -3 - -3. Suppose -n + 4*n - 15 = s. What is z in 0*z**4 - z**3 - 2*z**n + z**3 - 2*z**3 - 4*z**4 = 0?
-1, 0
Let p(s) = 2*s + 30. Let y be p(-15). Let l(c) be the third derivative of 1/36*c**4 + y + 0*c - 1/180*c**5 + 0*c**3 + c**2. Find k, given that l(k) = 0.
0, 2
Let c(g) be the third derivative of g**5/120 + g**4/12 + g**3/4 + 21*g**2. Factor c(t).
(t + 1)*(t + 3)/2
Let f(r) = -r**3 - 3*r**2 + 4*r. Let w(i) = -i**3 - 4*i**2 + 4*i. Let s(k) = -4*f(k) + 3*w(k). Solve s(x) = 0.
-2, 0, 2
Let l(b) be the first derivative of b**3 + 