 the first derivative of 10/3*g**3 - 1 + n*g - 7/3*g**6 - 2*g**2 + 9/2*g**4 - 2*g**5. Determine h so that u(h) = 0.
-1, 0, 2/7, 1
Let x(v) be the first derivative of 98*v**3/27 - 28*v**2/9 + 8*v/9 - 6. Factor x(f).
2*(7*f - 2)**2/9
Let m be (-173)/1211*7/(-2). Factor -1/2*i**3 + 1/2*i**2 + 1/2*i - m.
-(i - 1)**2*(i + 1)/2
Let x be 506/(-1522) + 4/12. Let c = x + 6082/6849. Solve 8/9 + c*f**3 + 40/9*f + 34/9*f**2 = 0 for f.
-2, -1/4
Suppose 12 = 5*i - l - 3, 2*i - 5*l + 17 = 0. Suppose 2 = y - 2. Factor 3*q**2 - y*q**2 + 6*q - q**2 - i.
-2*(q - 2)*(q - 1)
Let j be (27/15)/(6/20). Suppose -1 - j*c**4 + 1 + 3*c**4 - 3*c**3 = 0. Calculate c.
-1, 0
Let r(h) be the third derivative of 0 + 1/20*h**4 + 4*h**2 - 1/150*h**5 + 0*h**3 + 0*h. Factor r(z).
-2*z*(z - 3)/5
Let z(h) = -h**2 - 15*h + 56. Let v be z(-18). Factor 1/2*d**v + 0 - 1/2*d.
d*(d - 1)/2
Let v(f) be the first derivative of f**4/3 - 16*f**3/9 + 10*f**2/3 - 8*f/3 - 7. Find t such that v(t) = 0.
1, 2
Let f(p) be the third derivative of -3/4*p**3 - 1/16*p**5 + 17/32*p**4 + 0 + 0*p + 8*p**2. Factor f(x).
-3*(x - 3)*(5*x - 2)/4
Let w be 2550/595 - (18/14 - 1). Factor 0 + 2/9*s**2 + 2/9*s - 2/9*s**3 - 2/9*s**w.
-2*s*(s - 1)*(s + 1)**2/9
Let x(d) be the third derivative of 0*d + 0*d**3 + 0*d**5 - 1/30*d**6 + 1/12*d**4 + 1/168*d**8 + 4*d**2 + 0 + 0*d**7. Factor x(g).
2*g*(g - 1)**2*(g + 1)**2
Let l(p) = -7*p**2 - p + 5. Let d(f) = -2*f**2 - 2 + 10*f**2 - 2*f**2 - 3*f**2. Let i be (1 - 0) + 2/2. Let o(s) = i*l(s) + 5*d(s). Factor o(b).
b*(b - 2)
Let r(a) be the second derivative of a**4/4 + a. Determine f so that r(f) = 0.
0
Solve 0 + 4/7*l**3 + 0*l - 2/7*l**4 + 0*l**2 = 0 for l.
0, 2
Let t(s) = -s**2 + 24*s. Let b be t(24). Factor 2/9 - 2/9*f**2 + b*f.
-2*(f - 1)*(f + 1)/9
Suppose 3*x - 10 = -2*x + 3*l, -5*l + 4 = 2*x. Factor a**2 + 2 - a**2 + 7*a + 2*a + 4*a**x.
(a + 2)*(4*a + 1)
Suppose z + 2*z = 4*d + 78, 5*d = -4*z - 82. Let l be -5 + 3 + d/(-7). Factor 2/7*k**5 + 2/7*k - 2/7 - 2/7*k**4 + 4/7*k**2 - l*k**3.
2*(k - 1)**3*(k + 1)**2/7
Let u be 0/(3/(-6)*4). Let x(b) be the second derivative of 0*b**3 + u*b**2 - 2*b + 0 - 1/30*b**5 + 0*b**4. Factor x(n).
-2*n**3/3
Factor 2/3*b**4 - 8/3*b**2 + 0 + 0*b**3 + 0*b.
2*b**2*(b - 2)*(b + 2)/3
Suppose 15 = 2*t + 3*t. Find b such that -21*b**t + 2*b**4 + 4*b**4 - 13*b + 3 - 2*b + 27*b**2 = 0.
1/2, 1
Suppose 9*n = 5*n + u - 5, 5*n + 3*u - 15 = 0. Suppose 19 = 2*z + 3*g, -z + 5 = 5*g - 22. Determine l so that n - l**3 + l**z + 1/3*l**4 - 1/3*l = 0.
0, 1
Let q be (2/40)/((-28)/(-140)). What is p in -1/4 + 1/2*p**3 + 3/4*p**4 - 3/4*p + q*p**5 - 1/2*p**2 = 0?
-1, 1
Let s = 6 + -2. Factor 3*i + 4*i**2 + 2*i**3 - 5*i - s*i**3.
-2*i*(i - 1)**2
Factor -4/5*n - 4/5 - 1/5*n**2.
-(n + 2)**2/5
Let a(s) be the third derivative of s**5/100 - s**4/5 + 8*s**3/5 + 7*s**2. Factor a(k).
3*(k - 4)**2/5
Let t(a) be the first derivative of 3 + 1/18*a**3 + 1/12*a**2 + 0*a. Factor t(f).
f*(f + 1)/6
Find s such that 0*s + 0 + 1/2*s**4 + 1/6*s**2 + 1/2*s**3 + 1/6*s**5 = 0.
-1, 0
Let b be 19*-2*(-1)/2. Solve -6*t - 12*t**4 + 27*t**3 + 15*t**2 - b*t**5 - 2*t**5 - 7*t**4 + 4*t**4 = 0 for t.
-1, 0, 2/7, 1
Let s(t) be the first derivative of 1 + 0*t**2 + 0*t - 1/6*t**3. Factor s(f).
-f**2/2
Let q(j) be the second derivative of -j**6/75 - j**5/50 + j**4/15 - 26*j. Find d such that q(d) = 0.
-2, 0, 1
Let j(a) = a**2 + 2*a - 1. Let x be j(1). Suppose 2*u + 4 = 3*u. Factor m**4 + 2*m**u - 2*m**4 - x*m**3.
m**3*(m - 2)
Let v(n) be the first derivative of -35*n**4/4 - 200*n**3/3 - 110*n**2 + 80*n - 41. Determine d so that v(d) = 0.
-4, -2, 2/7
Let f(i) be the second derivative of 0*i**3 + 2*i + 0 + 1/12*i**4 + 0*i**2. Let f(r) = 0. What is r?
0
Let m = 36 - 66. Let d = 34 + m. Factor 9*l**2 + 3/2 + 3/2*l**d - 6*l - 6*l**3.
3*(l - 1)**4/2
Find z such that -2/17*z**4 + 0*z - 72/17*z**2 + 24/17*z**3 + 0 = 0.
0, 6
Let g be 96/64 - (-6)/(-4). What is s in g*s**2 + 0*s**3 + 0*s + 0 - 2/5*s**4 = 0?
0
Let l(j) be the first derivative of 0*j - 6 - 1/20*j**5 - 1/12*j**3 - 1/8*j**4 + 0*j**2. Factor l(f).
-f**2*(f + 1)**2/4
Let j(b) = -2*b + 40. Let o be j(19). Factor -8/3*f - 2/9*f**3 + 16/9 + 4/3*f**o.
-2*(f - 2)**3/9
Suppose 4*p = 8 - 0. Let v(y) be the third derivative of 1/3*y**3 - p*y**2 - 1/120*y**6 + 0*y - 5/24*y**4 + 1/15*y**5 + 0. Factor v(k).
-(k - 2)*(k - 1)**2
Let z(d) be the second derivative of d**4 + 11*d**3/2 - 9*d**2/2 + 19*d. Suppose z(c) = 0. What is c?
-3, 1/4
Let x(q) = 3*q - 5. Let u be x(4). Let r = u - 5. Factor 2/3*d + 1/3 + 1/3*d**r.
(d + 1)**2/3
Suppose -60*h = -55*h. Let g(r) be the second derivative of 3/5*r**5 - 3*r + h - 3/2*r**2 - 3/2*r**4 + 2*r**3 - 1/10*r**6. Suppose g(a) = 0. What is a?
1
Suppose 2*c - 12 = -4. Let p = c - 1. Factor -2*d**3 + p*d - d - 2*d.
-2*d**3
Let s(l) be the second derivative of l**5/30 - l**4/18 - 18*l. Factor s(x).
2*x**2*(x - 1)/3
Let s be (-4 - -2)*-1*2. Suppose -5*n + s*n = -3. Determine f so that -f**n - f**3 + f + f = 0.
-1, 0, 1
Let p = 6 - 4. Factor 21*h**2 + 2 + 0 - 23*h**p.
-2*(h - 1)*(h + 1)
Let d(t) be the first derivative of -1/12*t**6 + 0*t + 1/6*t**3 + 1/8*t**4 - 1/10*t**5 + 4 + 0*t**2. Factor d(p).
-p**2*(p - 1)*(p + 1)**2/2
Let n(z) be the second derivative of 0 + 0*z**3 + 0*z**2 - 2*z + 1/42*z**4. Suppose n(g) = 0. What is g?
0
Let m(l) be the second derivative of -5*l**4/12 + 10*l**3/3 - 15*l**2/2 - 14*l. Factor m(x).
-5*(x - 3)*(x - 1)
Let q(l) be the third derivative of l**8/2016 - l**7/1260 - l**6/540 - l**4/12 - 2*l**2. Let c(k) be the second derivative of q(k). Solve c(b) = 0 for b.
-2/5, 0, 1
Suppose -2/3*b**3 + 2/9*b**5 + 4/9*b + 2/9*b**2 + 0 - 2/9*b**4 = 0. What is b?
-1, 0, 1, 2
Let w be 0/(-1) - (-7 + 4). Let 3*o**3 + 3*o**2 + 3*o**4 + 3*o**3 + 0*o**w = 0. Calculate o.
-1, 0
Factor 36 + 9*w**2 - 24*w - 10*w**2 + 3*w**2 + 2*w**2.
4*(w - 3)**2
Let x be (-2 - -8)*(-2)/(-15). Suppose 6/5*r + x - 4/5*r**2 = 0. Calculate r.
-1/2, 2
Let f be 8/(-30) - 9/(-15). Let w(n) be the first derivative of 0*n + f*n**3 + 1/2*n**2 + 1. Let w(k) = 0. What is k?
-1, 0
Let p(g) be the third derivative of g**9/60480 + g**8/6720 + g**7/1680 + g**6/720 + g**5/10 - 5*g**2. Let k(h) be the third derivative of p(h). Factor k(o).
(o + 1)**3
Factor -4 + 3/2*r**3 - 6*r + 1/2*r**4 - r**2.
(r - 2)*(r + 1)*(r + 2)**2/2
Suppose -s - 5*u - 10 = 0, 4*s + 2 = s - u. Factor 4/7*b - 2/7*b**2 + s.
-2*b*(b - 2)/7
Factor 0*u**2 + 0 + 3/4*u**3 - 3/8*u**4 + 0*u.
-3*u**3*(u - 2)/8
Let c be (-3)/(9/(-7) + 4/14). Solve 4/7 + 80/7*k**2 + 30/7*k + 2*k**5 + 60/7*k**4 + 100/7*k**c = 0.
-1, -2/7
Let p = -89/5 + 19. Factor 0 + p*u**2 + 0*u + 3*u**3 + 12/5*u**4 + 3/5*u**5.
3*u**2*(u + 1)**2*(u + 2)/5
Suppose 324*o = 329*o - 15. Let u(p) be the first derivative of -2*p - 1/2*p**4 + 1 + 2/3*p**o + p**2. Suppose u(b) = 0. What is b?
-1, 1
Factor 11*v - 26*v**3 + 6*v**4 + 38*v**2 - 6*v**2 - 17*v - 6*v**2.
2*v*(v - 3)*(v - 1)*(3*v - 1)
Let j = 4 + -2. Factor -2/5*u + 0*u**4 - 2/5*u**5 + 0*u**j + 0 + 4/5*u**3.
-2*u*(u - 1)**2*(u + 1)**2/5
Let z(m) = -16*m**4 - 9*m**3 + 18*m**2 - 7*m + 7. Let u(n) = 11*n**4 + 6*n**3 - 12*n**2 + 5*n - 5. Let p(x) = 7*u(x) + 5*z(x). Factor p(h).
-3*h**2*(h - 1)*(h + 2)
Let x(n) be the second derivative of n**6/15 + 9*n**5/5 + 27*n**4/2 + 26*n. Find s, given that x(s) = 0.
-9, 0
Let z be 2/(-9) + (-13)/(-18). Let j(y) be the second derivative of 5/2*y**3 + 0 + 3*y**2 + z*y**4 - 3*y. Factor j(g).
3*(g + 2)*(2*g + 1)
Let b(r) be the first derivative of -4/21*r**3 + 1/42*r**4 + 2*r + 1 + 4/7*r**2. Let f(m) be the first derivative of b(m). Find x such that f(x) = 0.
2
Let v(n) = -4*n**2 + 48*n - 144. Let h(c) = 4*c**2 - 48*c + 144. Let p(i) = 6*h(i) + 5*v(i). Solve p(k) = 0.
6
Factor -20*r**2 + 3*r**3 + r**3 + 36*r**2 + 0*r**3.
4*r**2*(r + 4)
Let -2*i**4 - 24*i + 42 - 26 - 24 - 12*i**3 - 26*i**2 = 0. What is i?
-2, -1
Find k, given that 3/2*k - 5/4*k**2 + 1/4*k**3 + 0 = 0.
0, 2, 3
Factor 2/7*i**2 - 2/7*i**3 + 2/7*i - 2/7.
-2*(i - 1)**2*(i + 1)/7
Let m(j) be the second derivative of -j**4/12 + j**2/2 - 2*j. Let m(w) = 0. What is w?
-1, 1
Let b(r) = -3*r**2 - 3*r. Let t(g) = 7*g**2 + 7*g. Suppose -2*l - 2 = -l. Let z(h) = l*t(h) - 5*b(h). Determine i, given that z(i) = 0.
-1, 0
Suppose -2*g - 12 = -8*g. Let q(b) be the second derivative of 0*b**3 +