 of -b**8/840 - 2*b**7/525 + b**5/75 + b**4/60 - 3*b**2/2 - b. Let l(t) be the first derivative of u(t). Factor l(j).
-2*j*(j - 1)*(j + 1)**3/5
Let w(m) be the third derivative of -m**5/90 - 5*m**4/108 + 2*m**3/27 - 20*m**2. Factor w(f).
-2*(f + 2)*(3*f - 1)/9
Let z = 3/10 + 1/5. Let 0 + z*g**2 - 1/4*g**3 + 0*g = 0. What is g?
0, 2
Let i(v) be the first derivative of 0*v**2 - 2 + 0*v**3 + 1/6*v**4 - v. Let d(x) be the first derivative of i(x). Factor d(c).
2*c**2
Let o(a) = -a**3 + 4*a**2 + 5*a + 5. Let x be o(5). Let n(d) = d + 9. Let t be n(-7). Let -4*j**4 + 0*j**x + j**2 + 2*j**5 - t*j + 3*j**2 = 0. What is j?
-1, 0, 1
Let k(h) = h**4 + h**3 + 1. Let g(s) = -2*s**5 + 10*s**4 - 4*s**3 - 8*s**2 + 8*s + 2. Let f(c) = -g(c) + 2*k(c). Let f(m) = 0. What is m?
-1, 0, 1, 2
Factor u - 2*u + 4*u**2 - 4 + 0 + 107*u**3 - 106*u**3.
(u - 1)*(u + 1)*(u + 4)
Let p = 2 + 0. Let y(w) = w**3 + w. Let b(r) = -3*r**3 - r. Let o(h) = p*y(h) + b(h). Factor o(v).
-v*(v - 1)*(v + 1)
Let p(s) be the third derivative of s**8/1512 + s**7/315 + s**6/270 - s**5/135 - s**4/36 - s**3/27 + 13*s**2. What is j in p(j) = 0?
-1, 1
Let s(f) be the third derivative of f**9/60480 - f**8/20160 - f**5/20 - 3*f**2. Let d(t) be the third derivative of s(t). Find z such that d(z) = 0.
0, 1
Determine a so that -2*a**3 + 2*a**2 + 13*a**2 - 3*a**2 = 0.
0, 6
Suppose 9/4*n**3 + 3/2*n**2 + 0 + 1/4*n = 0. Calculate n.
-1/3, 0
Let r = -9/10 + 7/5. Let g = -1764 - -1766. Suppose 1 + r*d**g + 3/2*d = 0. Calculate d.
-2, -1
Let r(g) be the first derivative of g**2 - 5*g + 2. Let a be r(4). Let -d - 4 - d**4 + 0*d**4 - 3*d + 8*d**a + 2*d**2 - 4*d**5 + 3 = 0. Calculate d.
-1, -1/4, 1
Suppose 4*d - 1 = -5. Let z be (0 - d)/((-3)/(-9)). Determine y, given that 10/7*y + 4/7 + 6/7*y**2 - 2/7*y**z - 2/7*y**4 = 0.
-1, 2
What is r in 0*r**2 + 0 - 4/7*r**3 + 0*r**4 + 2/7*r**5 + 2/7*r = 0?
-1, 0, 1
Let k(g) be the second derivative of g**7/14 - g**6/10 - 3*g**5/10 + g**4/2 + g**3/2 - 3*g**2/2 + g. Factor k(m).
3*(m - 1)**3*(m + 1)**2
Factor -4*n**4 - n**4 + 5*n + 3*n**3 + 12*n**3 - 2*n**2 - 13*n**2.
-5*n*(n - 1)**3
Let s be ((-21)/(-14))/(-2 + 3 - -5). Suppose s*k**2 - 1/4*k - 1/4 + 1/4*k**3 = 0. What is k?
-1, 1
Suppose -5*g - 5*d = -50, 4*g - 26 - 19 = -5*d. Solve 14*o - 7*o + g*o - 4*o**2 = 0 for o.
0, 3
Let q(l) be the first derivative of -l**6/15 - 4*l**5/25 - l**4/10 + 1. Suppose q(k) = 0. What is k?
-1, 0
Factor 27*z + 16*z**2 + 25*z**3 - 81*z**2 - 16*z + 19*z.
5*z*(z - 2)*(5*z - 3)
Let o = -7 - -9. Let t be 4 + (0 - o) + -1. Suppose -12*c**4 + t - 1 - 12*c**5 + 3*c**3 + 4*c**2 - c**2 = 0. What is c?
-1, -1/2, 0, 1/2
Let c be (-3)/2*16/(-12). Let -11*h**2 + h**c + 3*h + 2*h**2 + 18*h**3 + 3*h**5 - 12*h**4 - 4*h**2 = 0. Calculate h.
0, 1
Find k, given that -14 + 9*k**2 + 0*k**3 + 2 + 3*k**3 = 0.
-2, 1
Let v(u) = u**3 + 18*u**2 + 18*u + 19. Let s be v(-17). Let 0*i**3 + 0 - 1/3*i**s + 0*i + 1/3*i**4 = 0. What is i?
-1, 0, 1
Factor -12/7 - 2/7*s**2 - 10/7*s.
-2*(s + 2)*(s + 3)/7
Let u(r) = 12*r**3 - 21*r**2 + 15*r - 15. Let m(n) = -3*n**3 + 5*n**2 - 4*n + 4. Let w(s) = 15*m(s) + 4*u(s). Find a, given that w(a) = 0.
0, 3
Factor 1/3*c**2 - 2/3*c + 1/3.
(c - 1)**2/3
Let b be (7 - 2)*6/135. Let f(n) be the first derivative of -b*n**3 + 0*n + 2/15*n**5 + 0*n**2 + 0*n**4 + 4. Let f(i) = 0. What is i?
-1, 0, 1
Let t = 229/10 + -5227/30. Let s = -150 - t. Factor 2/3*g**2 + 2/3 + s*g.
2*(g + 1)**2/3
Let l(x) be the second derivative of -3*x**5/70 - x**4/28 + x**3/7 + 3*x**2/14 - 15*x. Factor l(h).
-3*(h - 1)*(h + 1)*(2*h + 1)/7
Factor 4/3 + 1/3*l**2 + 4/3*l.
(l + 2)**2/3
Suppose m = -4*i + 6*m + 30, i = 2*m + 6. Let s = i + -8. Factor -1/5*x**s - 1/5*x**4 + 0*x + 2/5*x**3 + 0.
-x**2*(x - 1)**2/5
Determine i, given that -23*i**2 + 15*i + 5*i**3 - 6 + 1 + 8*i**2 + 0*i**3 = 0.
1
Let r(m) be the second derivative of -m**6/120 + m**5/10 - m**4/2 - m**3/6 + m. Let q(l) be the second derivative of r(l). Find y, given that q(y) = 0.
2
Let g = 1 + 23. Factor 72*r - 15*r**4 + 12*r**2 - 72*r + g*r**3.
-3*r**2*(r - 2)*(5*r + 2)
Let d(w) = w**4 + w**3 - w**2 + w. Let c(s) = 2*s**4 + s**3 - 2*s**2 + 2*s. Suppose 0 = 5*y - 9 - 1. Let z(f) = y*c(f) - 3*d(f). Find m, given that z(m) = 0.
-1, 0, 1
Suppose -j = 5*n - 36, -4*j + 37 = -3*j + 4*n. Suppose -46*r = -j*r. Suppose -10/11*k**4 + 6/11*k**3 + 24/11*k**2 + r + 8/11*k = 0. What is k?
-1, -2/5, 0, 2
Let c = -78 + 115. Suppose 33*f = c*f - 12. Determine w so that 2/3*w + 0 - 2/3*w**f - 2/3*w**4 + 2/3*w**2 = 0.
-1, 0, 1
Let v = 586 - 28127/48. Let b(j) be the third derivative of 1/24*j**3 + 1/240*j**5 + v*j**4 + 0*j + 3*j**2 + 0. Suppose b(u) = 0. Calculate u.
-1
Let j(w) be the second derivative of -w**7/8820 + w**6/1260 + w**4/6 - 2*w. Let y(v) be the third derivative of j(v). Let y(q) = 0. Calculate q.
0, 2
Suppose 140*j**4 + 190*j**3 + 36*j**5 + 5 + 4*j**5 - 5 + 40*j + 125*j**2 + 5 = 0. What is j?
-1, -1/2
Let u(m) = 3*m + 3. Let h(v) be the first derivative of -v**3/3 + v + 2. Let c(r) = -2*r - 3. Let y be c(-2). Let g(b) = y*h(b) - u(b). Factor g(z).
-(z + 1)*(z + 2)
Solve 3 + 11*j**2 + 13 + 8*j - 5*j**2 - 5*j**2 = 0.
-4
Let c(t) be the first derivative of 48*t**5/25 + 6*t**4 + 33*t**3/5 + 3*t**2 + 3*t/5 + 8. Suppose c(g) = 0. Calculate g.
-1, -1/4
Let x(m) be the second derivative of -8*m + 1/98*m**7 - 1/14*m**6 - 5/14*m**4 + 0 + 5/14*m**3 + 3/14*m**5 - 3/14*m**2. Factor x(w).
3*(w - 1)**5/7
Let n(d) be the third derivative of d**10/75600 - d**9/30240 - d**8/5040 + d**5/20 - 7*d**2. Let u(g) be the third derivative of n(g). Factor u(y).
2*y**2*(y - 2)*(y + 1)
Let n be 1*(16/(-14))/(-4). Find g such that -n*g + 2/7*g**3 + 0 + 2/7*g**2 - 2/7*g**4 = 0.
-1, 0, 1
Let o be (-2)/3*(-15)/20. Let d = 12 - 4. Let o*n**4 + 12*n**2 + d + 4*n**3 + 16*n = 0. What is n?
-2
Let j(i) be the second derivative of i**7/1680 - i**6/720 - i**5/240 + i**4/48 - i**3/2 + 2*i. Let p(x) be the second derivative of j(x). Factor p(d).
(d - 1)**2*(d + 1)/2
Let j(q) be the second derivative of -5*q**7/42 + q**6/3 - 5*q**4/6 + 5*q**3/6 - 25*q. Factor j(c).
-5*c*(c - 1)**3*(c + 1)
Let b = 15 - 13. Let d(a) be the second derivative of -1/10*a**5 + 0 + 2/21*a**7 + 0*a**b + 0*a**3 + 0*a**4 + 2*a + 1/15*a**6. Let d(v) = 0. Calculate v.
-1, 0, 1/2
Let b be 2/(-12) + (-4)/(-8). Let x be (-10)/45 - 24/(-27). Suppose x*j - 1/3*j**2 - b = 0. Calculate j.
1
Let t(n) be the third derivative of -n**9/60480 + n**8/6720 - n**7/1680 + n**6/720 + n**5/20 + 4*n**2. Let p(j) be the third derivative of t(j). Factor p(r).
-(r - 1)**3
Solve -10*h + 10*h**2 + 16*h + 5*h**3 - 21*h = 0 for h.
-3, 0, 1
Let o(m) be the second derivative of -m**5/70 + m**4/21 + 7*m. Solve o(h) = 0.
0, 2
Let b be (-7)/(-210)*(9 - 4). Factor b*v**2 - 1/3*v - 1/2.
(v - 3)*(v + 1)/6
Let v(x) = x**3 + 5*x**2 + x - 10. Let a be v(-4). Factor -2/7*i**a - 8/7 - 8/7*i.
-2*(i + 2)**2/7
Let z(l) be the second derivative of -l**4/6 - 2*l**3/3 + 8*l**2 - 31*l. Factor z(m).
-2*(m - 2)*(m + 4)
Factor -n**2 - 3 + 7*n**2 + 47*n**4 - 50*n**4.
-3*(n - 1)**2*(n + 1)**2
Let g(v) be the second derivative of -5*v**9/1008 - v**8/70 - v**7/280 + v**6/60 + 2*v**3/3 + v. Let r(s) be the second derivative of g(s). Factor r(h).
-3*h**2*(h + 1)**2*(5*h - 2)
Let l(h) be the second derivative of -h**8/2240 - h**7/280 - h**6/96 - h**5/80 + 2*h**3/3 + 2*h. Let p(u) be the second derivative of l(u). Factor p(a).
-3*a*(a + 1)**2*(a + 2)/4
Let c(p) be the first derivative of 0*p - 3/5*p**5 + 0*p**4 - 3 + p**3 + 0*p**2. Factor c(i).
-3*i**2*(i - 1)*(i + 1)
Let o be (2 + 2 - 2) + (-159)/80. Let s(u) be the second derivative of 0 + 5/48*u**4 + 3/8*u**2 - 4*u - o*u**5 - 7/24*u**3. Factor s(z).
-(z - 3)*(z - 1)**2/4
Let z(s) = 2*s**2 - 10*s + 4. Let i(q) = -4*q**2 + 20*q - 7. Let g(x) = -4*i(x) - 9*z(x). Factor g(l).
-2*(l - 4)*(l - 1)
Factor 5/3*h**2 - 5/3 + 0*h.
5*(h - 1)*(h + 1)/3
Let p(x) be the second derivative of -x**8/4200 + x**7/2100 + x**6/900 - x**5/300 + x**3 - 4*x. Let f(r) be the second derivative of p(r). Factor f(k).
-2*k*(k - 1)**2*(k + 1)/5
Let u = 0 + 2. Suppose -5*v + 20 = 0, -3*g - u*v + 18 = v. What is r in 4 - 6*r - 7 + 0 - 3*r**g = 0?
-1
Let k(t) be the third derivative of -t**6/108 - 11*t**5/270 - 7*t**4/108 - t**3/27 - 13*t**2. Determine u, given that k(u