*3 - s**5 - a + 4*s**3 + 6 - s.
-s*(s - 1)**2*(s + 1)**2
Let n(o) be the second derivative of 2*o - 1/24*o**4 - 1/6*o**3 + 0*o**2 + 0. Let n(h) = 0. Calculate h.
-2, 0
Solve 5*o**2 - 2*o**5 - o**2 - 4 + 6*o - 2*o + 8*o**3 - 10*o = 0.
-1, 1, 2
Let l(m) be the second derivative of 0*m**2 + 1/110*m**5 + 1/33*m**3 + 0 - 1/33*m**4 - 2*m. Factor l(v).
2*v*(v - 1)**2/11
Let d = -226 - -1136/5. What is u in -12/5*u**2 + 6/5*u**3 + 6/5 + d*u**4 - 3/5*u**5 - 3/5*u = 0?
-1, 1, 2
Let p = -2/5 - -9/10. Let u(l) be the first derivative of 2/3*l**3 + 0*l + 1/3*l**6 - p*l**4 - 2 - 2/5*l**5 + 0*l**2. Factor u(c).
2*c**2*(c - 1)**2*(c + 1)
Suppose 3 = 3*x, 2*n + 6 = 3*n + 5*x. Let r(f) be the first derivative of 1/2*f**4 - 4*f + 0*f**3 - 3*f**2 - n. Factor r(s).
2*(s - 2)*(s + 1)**2
Suppose -4*w = -3*n - 16, 0 = -0*n - 4*n. Let r(j) be the first derivative of 1/16*j**w + 0*j**3 + 1 + 0*j + 0*j**2. Factor r(s).
s**3/4
Let c(g) be the second derivative of 5*g**4/12 + 5*g**3/3 + 2*g. Find w such that c(w) = 0.
-2, 0
Let c(b) be the first derivative of 5*b**4/3 - 56*b**3/9 + 14*b**2/3 + 8*b/3 + 10. Factor c(y).
4*(y - 2)*(y - 1)*(5*y + 1)/3
Let i = 162 - 1132/7. Factor 8/7*x - 6/7*x**2 - i.
-2*(x - 1)*(3*x - 1)/7
Let p be (-18)/3 - (3 + -6). Let x be 7/p*(-20)/14. Factor 0 + 8/3*f**3 + 2/3*f - x*f**2.
2*f*(f - 1)*(4*f - 1)/3
Let a(w) be the first derivative of 1/6*w**6 + 5/4*w**4 + 11/15*w**5 + 1/3*w**2 + 3 + 0*w + w**3. Determine k, given that a(k) = 0.
-1, -2/3, 0
Let t(b) = -2*b**2 - 30*b - 48. Let a(l) = 15*l**2 + 210*l + 335. Let r(q) = -3*a(q) - 20*t(q). Factor r(z).
-5*(z + 3)**2
Let k(w) be the third derivative of -w**6/960 - w**5/60 - 7*w**4/192 - 3*w**2. Suppose k(x) = 0. What is x?
-7, -1, 0
Suppose 6*t - 3 = 5*t. Factor 0 + 1/2*l**2 + 0*l - 1/2*l**t.
-l**2*(l - 1)/2
Let j(k) be the third derivative of -5*k**8/2856 + 13*k**7/1785 - 3*k**6/340 - k**5/510 + k**4/102 - 5*k**2. Factor j(o).
-2*o*(o - 1)**3*(5*o + 2)/17
Let t(y) be the first derivative of -3/5*y**5 + 2*y**4 + 4/3*y**2 + 1 - 22/9*y**3 - 1/3*y. Factor t(q).
-(q - 1)**2*(3*q - 1)**2/3
Let a be 8/14*(-2 - 15/(-6)). Factor -8/7*o + 0 + 8/7*o**2 - a*o**3.
-2*o*(o - 2)**2/7
Let l = -47/4 - -12. Solve 0*i + 1/4*i**5 + 0 + 1/4*i**4 - 1/4*i**2 - l*i**3 = 0.
-1, 0, 1
Let k(b) = b**3 + b**2 - b - 1. Let m(a) = 9*a**3 + 23*a**2 - 29*a - 3. Let f(t) = -22*k(t) + 2*m(t). Suppose f(p) = 0. Calculate p.
1, 4
Let w(b) be the second derivative of b**7/10080 - b**5/480 - b**4/3 - 2*b. Let f(m) be the third derivative of w(m). Factor f(c).
(c - 1)*(c + 1)/4
Let n(d) be the first derivative of 1/3*d**3 - 1/8*d**4 - 1/4*d**2 + 0*d + 2. Suppose n(u) = 0. What is u?
0, 1
Suppose k = 8*k. Let s(d) be the second derivative of 0*d**3 + 1/70*d**5 + 0*d**4 + k*d**2 + 0 + 3*d. Find u such that s(u) = 0.
0
Let d(y) be the third derivative of 0*y**3 + 1/280*y**8 + 2/75*y**5 + 5*y**2 - 1/150*y**6 + 0 - 4/525*y**7 + 0*y - 1/60*y**4. Suppose d(h) = 0. Calculate h.
-1, 0, 1/3, 1
Suppose -3 - 1 - 4*z**2 - 7*z + 3 + 2*z = 0. Calculate z.
-1, -1/4
Let p = 1097/15 - 364/5. Factor -1/3*c + p*c**2 + 0.
c*(c - 1)/3
Suppose -12 = -5*l + 3*d, -3*l + 3*d + 3 + 3 = 0. Factor 9*m - 11*m + 0*m**l + 2*m**3.
2*m*(m - 1)*(m + 1)
Let q be (-1 + 9)*(20/8 + -2). Suppose -2*k - 4 = -2*b, -2*b + 2*k - 6 = -5*b. Factor -2*d**3 + d - 5*d - b*d + q*d - 4*d**2.
-2*d*(d + 1)**2
Let l(f) be the first derivative of -f**6/5 - 27*f**5/25 - 39*f**4/20 - f**3 + 9*f**2/10 + 6*f/5 - 9. Let l(i) = 0. What is i?
-2, -1, 1/2
Let o(w) be the second derivative of -3*w**5/110 + 4*w**3/11 - 6*w. Factor o(t).
-6*t*(t - 2)*(t + 2)/11
Let x(o) = o**2 + 8*o - 8. Let w be x(-14). Let u be (w/(-95))/((-12)/10). Factor -s**2 - u*s + 0.
-s*(3*s + 2)/3
Suppose 7*w - 16 = -2. Determine o so that 1/2*o - 1/2*o**3 - 1 + o**w = 0.
-1, 1, 2
Suppose 8*a - 7*a = 3. Let l(b) be the third derivative of 2*b**2 + 1/315*b**7 + 0*b**4 + 0 - 1/1512*b**8 - 1/180*b**6 + 1/270*b**5 + 0*b + 0*b**a. Factor l(s).
-2*s**2*(s - 1)**3/9
Let l(y) = -3*y - 120. Let p be l(-41). Factor 0 + 1/5*f**p + 0*f + 1/5*f**4 - 2/5*f**2.
f**2*(f - 1)*(f + 2)/5
Let c = -8/573 + 18424/6303. Factor -c*p**3 + 30/11*p + 48/11*p**2 + 4/11.
-2*(p - 2)*(4*p + 1)**2/11
Let y = 1 + 1. Determine n, given that 2*n**y + 7*n**3 + 9*n**4 - 2*n**4 - 2*n**4 = 0.
-1, -2/5, 0
Let a(k) = k**4 + k**3 + 1. Let c(o) = -6*o**4 - 8*o**3 - o**2 + o - 7. Let b(h) = -3*h - 12. Let g be b(-5). Let x(q) = g*c(q) + 21*a(q). Factor x(l).
3*l*(l - 1)**2*(l + 1)
Let d be 2*-1*(-153)/102. Suppose 8*q - 5/2*q**4 + 25/2*q**5 + 1/2*q**2 + 2 - 41/2*q**d = 0. Calculate q.
-1, -2/5, 1
Let p(h) be the second derivative of 3*h**6/10 + 3*h**5/2 + 9*h**4/4 + h**3 + 7*h. Factor p(u).
3*u*(u + 1)*(u + 2)*(3*u + 1)
Let o(c) be the third derivative of -c**8/1344 + c**7/168 - c**6/48 + c**5/24 - 5*c**4/96 + c**3/24 - 9*c**2. Factor o(n).
-(n - 1)**5/4
Factor 3/5*u**2 + 27/5 - 18/5*u.
3*(u - 3)**2/5
Suppose 0 = -3*u + 4*p + 17, 0 = -0*u - 5*u + 2*p + 19. Factor -u*h**5 + 2*h**5 - 2*h**4 - 2 + 4*h**2 + 4*h**3 - 2*h - h**5.
-2*(h - 1)**2*(h + 1)**3
Let v(x) be the third derivative of x**7/560 + x**6/96 - x**5/60 + 20*x**2. Factor v(f).
f**2*(f + 4)*(3*f - 2)/8
Let r(s) be the third derivative of -s**5/150 - s**4/15 - s**3/5 - 20*s**2. Solve r(x) = 0.
-3, -1
Let p(j) be the first derivative of 4/33*j**3 + 1/33*j**6 + 4 + 0*j + 8/55*j**5 + 5/22*j**4 + 0*j**2. Solve p(g) = 0 for g.
-2, -1, 0
Factor 8/17 + 2/17*n**3 - 6/17*n**2 + 0*n.
2*(n - 2)**2*(n + 1)/17
Let k(v) be the third derivative of v**7/490 + 3*v**6/280 - v**5/140 - 3*v**4/56 + 8*v**2. Factor k(m).
3*m*(m - 1)*(m + 1)*(m + 3)/7
Suppose 0 = 2*x - 17 + 1. Let f(v) = -v**2 + 6*v + 5. Let n be f(6). Factor -2*a**2 + 0 - n - x*a - 3.
-2*(a + 2)**2
Let v(z) = z**3 - 2*z**2 + 5*z. Let u(i) = -i. Let q be 0 + 2 + 1 + 1. Suppose 3*t + q = t. Let h(c) = t*v(c) - 10*u(c). Factor h(b).
-2*b**2*(b - 2)
Find i, given that -3 - 10 + 18 - 2 + 18*i + 27*i**2 = 0.
-1/3
Let a(h) be the first derivative of -h**6/10 - 9*h**5/25 - 3*h**4/10 + 2*h**3/5 + 9*h**2/10 + 3*h/5 + 11. Factor a(u).
-3*(u - 1)*(u + 1)**4/5
Let v = 6 - -30. Let s be 15/v - 1/(-3). Factor 1/4*a**5 + 0 + 0*a + s*a**4 + 3/4*a**3 + 1/4*a**2.
a**2*(a + 1)**3/4
Let q(y) be the first derivative of y**5/10 + y**4/4 - 6. Suppose q(n) = 0. Calculate n.
-2, 0
Let i be (-28)/(-12) + 6/9. What is p in -16*p**2 - 3*p**3 + 12*p**i + 3*p + 7*p**2 + 2*p**4 - 5*p**4 = 0?
0, 1
Let p = 3 - 1. Suppose -2*l - 5*z + 29 = 0, p*l - 3*z + 17 = 3*l. Factor -6*s**2 + 6*s**4 + 3*s**3 - 7*s**3 + 4*s**l.
2*s**2*(s - 1)*(3*s + 1)
Factor -5/3*o - 1/3 - 2*o**2.
-(2*o + 1)*(3*o + 1)/3
Let r = 45505/39 + -1166. Let k = r - 6/13. Solve 0 + 1/3*d**2 + k*d**4 + 0*d - 2/3*d**3 = 0 for d.
0, 1
Suppose d = -4 + 8. Let x be ((-18)/(-4) - 4)/(10/4). Factor 2/5*i**2 + 0*i - x*i**d - 1/5 + 0*i**3.
-(i - 1)**2*(i + 1)**2/5
Let r(x) be the first derivative of x**6/12 - 3*x**4/8 - x**3/3 + 1. Determine g so that r(g) = 0.
-1, 0, 2
Let d(x) = -9*x**3 - 7*x**2 - 2*x + 2. Let b(z) = 20*z**3 + 15*z**2 + 5*z - 5. Let c(p) = -2*b(p) - 5*d(p). Factor c(g).
5*g**2*(g + 1)
Let a(m) = -m + 10. Let d be a(7). Suppose l - 24 = -4*h + 29, 0 = 4*l - d*h - 193. Factor l*t**5 - 28*t**2 - t + 3*t**3 - 3*t + 28*t**4 - 48*t**3.
t*(t - 1)*(t + 1)*(7*t + 2)**2
Factor -4/9*a**3 + 2/9 + 2/9*a - 4/9*a**2 + 2/9*a**4 + 2/9*a**5.
2*(a - 1)**2*(a + 1)**3/9
Factor -3/4*g**2 + 3/4*g**4 - 6*g - 3 - 3/4*g**5 + 15/4*g**3.
-3*(g - 2)**2*(g + 1)**3/4
Let r = 20 - 80. Let t = 241/4 + r. Factor 0*k + 1/4*k**3 + 0 + t*k**2.
k**2*(k + 1)/4
Suppose 8*i - 6 = 5*i. What is j in -10/3*j**5 - 34/9*j**4 + i*j**3 - 4/9*j + 2*j**2 + 0 = 0?
-1, 0, 1/5, 2/3
Factor -1/5*b**3 - 4/5*b**5 - b**4 + 0 + 0*b**2 + 0*b.
-b**3*(b + 1)*(4*b + 1)/5
Let a = 7 + -5. Factor -2*z**2 + 2*z**2 + 3*z + 2*z**a + 1.
(z + 1)*(2*z + 1)
Let h(j) = 9*j**2 - j. Let y be h(1). Let l be y/(-18)*(-1 - 5). Find x such that -4*x**2 - 8/3*x - 2/3*x**4 - l*x**3 - 2/3 = 0.
-1
Let a(r) be the second derivative of 1/42*r**4 + 0 + 0*r**2 + 1/7*r**3 + 7*r. Solve a(x) = 0 for x.
-3, 0
Let v(s) be the third derivative of s**7/525 + s**6/60 + s**5/50 - 3*s**4/20 - 13*s**2 + 2. What is g in v(g) = 0?
-3, 0, 1
Let c(p) be the second derivative of p**5/60 - p**3/6 - p**2 + p. Let x(w) be the