w**8/90720 + w**7/11340 - w**5/60 + 4*w**2. Let l(r) be the third derivative of a(r). Factor l(f).
-2*f*(f - 1)*(f + 2)/9
Let w = -134 + 269/2. Let q(t) be the second derivative of 0 + w*t**4 - 1/10*t**6 + 3/10*t**5 - 1/2*t**3 - 3/2*t**2 + 2*t - 1/14*t**7. Factor q(j).
-3*(j - 1)**2*(j + 1)**3
Let w = 19 - 17. Let b(s) be the second derivative of 0 - 1/2*s**w - 1/48*s**4 + 1/6*s**3 + s. Factor b(a).
-(a - 2)**2/4
Let d(h) = -4*h - 3. Let u be d(-2). Suppose 3*q + i - 13 = 0, 0*i = -u*q - 3*i + 27. Factor 3*p - p**q - 1 + 3 + 0.
-(p - 2)*(p + 1)**2
Let u(p) be the third derivative of -p**8/2016 + p**6/720 - 10*p**2. Let u(g) = 0. Calculate g.
-1, 0, 1
Let p(l) be the first derivative of l**5/100 - l**4/60 + l - 5. Let n(z) be the first derivative of p(z). Suppose n(u) = 0. Calculate u.
0, 1
Let z(x) = -3*x**3 - 24*x**2 + 17*x + 2. Let r(i) = 2*i**3 + 23*i**2 - 16*i - 3. Let u(p) = 6*r(p) + 7*z(p). Factor u(c).
-(c + 4)*(3*c - 1)**2
Let k(d) be the third derivative of -d**8/840 + d**6/300 - 3*d**2. Factor k(n).
-2*n**3*(n - 1)*(n + 1)/5
Suppose -v - 18 = 4*c, 0 = -3*v - 2*v - 5*c - 15. Factor 0 - 5/4*g**4 - 1/2*g + 1/2*g**3 + 5/4*g**v.
-g*(g - 1)*(g + 1)*(5*g - 2)/4
Let i(c) = c - 7. Let g(v) = v - 6. Let d(z) = -7*g(z) + 6*i(z). Let t be d(-6). Factor 0*m - 6*m + 2 + t*m**2 + 3*m**3 - 5*m**3.
-2*(m - 1)**3
Solve -3/2*z**3 + 7/10*z**4 + 9/10*z**2 + 0*z + 0 - 1/10*z**5 = 0.
0, 1, 3
Let t(p) be the third derivative of -p**6/48 - p**5/4 - 5*p**4/4 - 10*p**3/3 - 5*p**2. Factor t(l).
-5*(l + 2)**3/2
Suppose 0 = 3*y - 4*y + 6. Let s be (-2)/y*(-18)/24. Factor 1/2*z**2 + 0 - s*z**5 + 1/4*z - 1/2*z**4 + 0*z**3.
-z*(z - 1)*(z + 1)**3/4
Let 0*b + 0*b**2 - 1/3*b**3 + 0 = 0. Calculate b.
0
Suppose -i = 3*c + c - 37, 5*c - 2*i = 30. Factor c*w**3 - w**4 - 6*w**3 - 4 + 4 - w**2.
-w**2*(w - 1)**2
Suppose i - 21 - 3 = 0. Suppose 5*o + 6 = 5*n - i, -2*o - 10 = -n. What is z in 0 + 2/5*z**n - 4/5*z = 0?
0, 2
Let u(i) be the first derivative of -i**4/24 + i**2/4 - 4*i + 7. Let m(f) be the first derivative of u(f). Factor m(z).
-(z - 1)*(z + 1)/2
Solve 5*h**2 + 3*h**3 - h**3 + 2*h**3 - h**2 = 0 for h.
-1, 0
Factor -a**3 + 4*a**4 + 9*a**3 - 8*a - 16*a - 20*a**2 + 0*a.
4*a*(a - 2)*(a + 1)*(a + 3)
Let y(z) = 8*z**4 - 16*z**3 - 14*z**2 + 23*z - 8. Let s(g) = 4*g**4 - 8*g**3 - 6*g**2 + 11*g - 4. Let t(q) = -7*s(q) + 3*y(q). Solve t(u) = 0 for u.
-1, 1
Let b be -2 - ((-42)/35 + 4/(-5)). Determine p, given that 2/3*p**2 + b + 2/9*p**3 + 4/9*p = 0.
-2, -1, 0
Factor 8/11 + 2/11*s**2 - 8/11*s.
2*(s - 2)**2/11
Suppose 6*u - 4*u - 22 = -4*o, 0 = -4*o - 5*u + 37. What is a in 2/9*a**o + 0*a + 0*a**2 + 0 = 0?
0
Let i(n) = 6*n**4 + 31*n**3 + 11*n**2 - 24*n - 24. Let z(c) = -2*c**4 - 10*c**3 - 4*c**2 + 8*c + 8. Let f(o) = -2*i(o) - 7*z(o). Factor f(y).
2*(y - 1)*(y + 1)*(y + 2)**2
Suppose 0 = 2*i - 0*i - 8. Let s(p) be the second derivative of 1/6*p**i + 7/15*p**3 - p + 0 + 2/5*p**2. Find t such that s(t) = 0.
-1, -2/5
Let l(t) be the second derivative of -t - 9/4*t**2 - 1/24*t**4 + 0 + 1/2*t**3. Factor l(c).
-(c - 3)**2/2
Let z(q) be the second derivative of -3*q**4/8 - 17*q**3/4 + 9*q**2/2 - 52*q. Factor z(o).
-3*(o + 6)*(3*o - 1)/2
Suppose -5*t + 4 = 4*z, 3*t + 4 = 5*z - 1. Let f(i) be the first derivative of -z + i**2 - 1/10*i**5 - 1/2*i**4 - 1/2*i**3 + 2*i. Factor f(n).
-(n - 1)*(n + 1)*(n + 2)**2/2
Let h(s) be the third derivative of 0*s**5 + 0*s**3 + 0*s + 1/120*s**6 + 0*s**4 + 6*s**2 + 0. Factor h(u).
u**3
Let c = 65 + -62. Let k(n) be the second derivative of -7/60*n**4 + 1/5*n**2 + 0 + 1/6*n**c - 3*n. Determine h so that k(h) = 0.
-2/7, 1
Let j = -2/95 - -669/190. Let o(g) be the first derivative of 2*g - 7/4*g**4 + 2 - 2/3*g**3 + j*g**2. Factor o(a).
-(a - 1)*(a + 1)*(7*a + 2)
Let v be 2/((-49)/28*-4). Factor 8/7*i - 8/7 - v*i**2.
-2*(i - 2)**2/7
Factor -8/3 - 26/3*u**2 - 8*u - 4*u**3 - 2/3*u**4.
-2*(u + 1)**2*(u + 2)**2/3
Let y(k) be the first derivative of -k**6/24 + 9*k**5/40 - k**4/2 + 7*k**3/12 - 3*k**2/8 + k/8 - 2. Factor y(o).
-(o - 1)**4*(2*o - 1)/8
Find i such that -2/3*i + 5/3*i**3 - i**2 + 0 = 0.
-2/5, 0, 1
Let g(q) be the first derivative of -3*q**5/5 + q**3 + 5. Factor g(k).
-3*k**2*(k - 1)*(k + 1)
Factor 3*w**4 + 9*w + 0*w**4 - 3*w - 9*w**2.
3*w*(w - 1)**2*(w + 2)
Let n(s) = s + 3 + 3 + 2. Let v be n(-4). Factor 0 + 0*l**2 + 1/3*l**3 + 1/3*l**v + 0*l.
l**3*(l + 1)/3
Let o = -1 + 4. Let a = o - -1. Factor 3*q**3 - 2*q**3 - 2*q**2 + a*q - 3*q**3.
-2*q*(q - 1)*(q + 2)
Suppose 5*l = 4*n - 6, -3*n = 2*n - 3*l - 14. Let t(d) be the first derivative of 5*d**n - 4*d**2 - 3 + 8*d - 14/3*d**3 - 6/5*d**5. Solve t(y) = 0 for y.
-2/3, 1, 2
Let t(y) be the first derivative of y**3/3 - y - 5. Factor t(d).
(d - 1)*(d + 1)
Suppose -27 = -2*i + 4*b - 9, 4*i = -3*b + 14. Let y be 117/135 - 1/i. Factor 0 - y*v**2 + 0*v.
-2*v**2/3
Let y(n) = -n**2. Let x(p) = 7*p**2 - 21*p + 18. Let c(d) = x(d) + 4*y(d). Factor c(q).
3*(q - 6)*(q - 1)
Let g be 3/12*(-224)/(-48) + -1. What is u in 1/6*u**3 - 1/3 + 1/2*u**2 - g*u**4 - 1/6*u = 0?
-1, 1, 2
Let q(x) = 2*x**5 - 2*x**4 - 11*x**3 - 7*x. Let t(z) = -2*z**5 + 2*z**4 + 10*z**3 + 6*z. Let g(k) = -6*q(k) - 7*t(k). Factor g(o).
2*o**3*(o - 2)*(o + 1)
Let c be 3*-1*(-1 + -1). Suppose 2*f = -0 + c. Factor n**2 - n**f - n + 0*n**3 + n**2.
-n*(n - 1)**2
Let x(w) = w**5 - w**3 - w**2 + w + 1. Let m(g) = 5*g**5 - 7*g**4 + 2*g**3 + 50*g**2 - 131*g + 85. Let c(n) = -m(n) + 4*x(n). What is t in c(t) = 0?
-3, 1, 3
Let o be (-90)/(-210)*((-7)/(-2) - 0). Factor 1/2 + 3/2*y + 1/2*y**3 + o*y**2.
(y + 1)**3/2
Let f = 8500/39 + -218. Let d = 8/13 - f. Find a, given that -1/3*a + 1/3*a**2 - d = 0.
-1, 2
Let q = 18 - 26. Let c be q/5*(-5)/2. Factor -t**2 - t**2 - t**4 + c*t**3 - t**4.
-2*t**2*(t - 1)**2
Find f such that 15/4*f**2 - 3*f**3 - 3/2*f + 0 + 3/4*f**4 = 0.
0, 1, 2
Let n(s) = -s**2 + s + 1. Let t(g) = 5*g**2 - 7*g - 4. Let p(o) = -4*n(o) - t(o). Suppose p(u) = 0. Calculate u.
0, 3
Let j(r) be the first derivative of -5*r**3/3 + 25*r**2/2 - 20*r - 8. Suppose j(c) = 0. What is c?
1, 4
Let o be 3/(-4) + (-799)/(-1020). Let l(y) be the second derivative of 0*y**3 - 1/50*y**5 - y + 0 - o*y**4 + 0*y**2. Factor l(v).
-2*v**2*(v + 1)/5
Let r(q) = q - 3. Let d be r(6). Let o(h) be the second derivative of 1/18*h**4 + 0*h**2 + 0*h**d + 1/30*h**5 + 3*h + 0. Factor o(a).
2*a**2*(a + 1)/3
Let x(f) be the third derivative of -5*f**2 - 1/80*f**6 + 0*f + 0*f**3 + 1/420*f**7 + 1/40*f**5 - 1/48*f**4 + 0. Let x(q) = 0. What is q?
0, 1
Suppose 15 + 30 = 3*h. Suppose 0 = g - 0*g - 3*n + 9, -5*n = 2*g - h. Find y, given that g*y**2 - 9*y**3 + 11*y**3 - 2*y**2 = 0.
0, 1
Let w(h) be the third derivative of -h**8/588 + 2*h**7/735 + h**6/210 - h**5/105 + 2*h**2. Factor w(i).
-4*i**2*(i - 1)**2*(i + 1)/7
Let j(u) be the first derivative of 2*u**3/45 + 7*u**2/15 + 4*u/5 + 19. Factor j(x).
2*(x + 1)*(x + 6)/15
Suppose s + 7 = 8. Let x(l) be the first derivative of -s + 0*l + 1/6*l**2 - 1/9*l**3. Factor x(r).
-r*(r - 1)/3
Let x = -1121/3 + 377. Find m such that -4/9 + 14/9*m**4 + 38/9*m**3 + 2/9*m + x*m**2 = 0.
-1, 2/7
Factor 3 - 2*m**2 - 9*m**3 + 6*m**2 - 4*m**2 - 3*m**2 + 9*m.
-3*(m - 1)*(m + 1)*(3*m + 1)
Let s(b) be the first derivative of b**4/8 + 2*b**3 + 12*b**2 + 32*b + 14. Factor s(u).
(u + 4)**3/2
Let x(a) be the second derivative of a**4/18 + 13*a**3/9 - 26*a. Solve x(j) = 0 for j.
-13, 0
Let u = 1/30 - -13/10. Find b such that -4/3*b**2 + 2/3*b + 2/3*b**5 + 2/3*b**4 + 2/3 - u*b**3 = 0.
-1, 1
Let m = -16/31 + 63/62. Factor -m - 1/2*o**2 - o.
-(o + 1)**2/2
Let n(f) = -7*f - 6. Let c(i) = -6*i - 5. Let v(t) = 6*c(t) - 5*n(t). Let u be v(-3). Suppose -z**3 + z**3 + 3*z**3 - 4*z**u = 0. What is z?
0
Let o be 5/(-18) + (4 - (-28)/(-8)). Solve -4/9*z + 2/9*z**2 + 0 + o*z**3 = 0.
-2, 0, 1
Let t(q) be the third derivative of 0*q - 3*q**2 - 1/100*q**5 - 1/840*q**8 + 1/600*q**6 + 0 + 0*q**3 + 1/350*q**7 + 1/120*q**4. Let t(y) = 0. Calculate y.
-1, 0, 1/2, 1
Let t(u) be the first derivative of u**6/6 + u**5/5 - u**4/4 - u**3/3 + 5. Factor t(f).
f**2*(f - 1)*(f + 1)**2
Let f(h) = -1. Let d(i) be the second derivative of -i**5/10 + i**3/3 - 2*i**2 + 2*i. Suppose -2*a + 4*a + 8 = 0. Let p(w) = a*f(w) + d(w). Solve p(n) = 0.
-1, 0, 1
Suppose 0 = 6*g - 12 - 0. Determine k so that