the third derivative of u(j). Factor m(n).
-(n - 2)*(n - 1)*(n + 1)/3
Let b be 2 - ((-88)/72 - 2/(-9)). Factor -6/7*i**2 - 6/7*i**b - 2/7*i + 0 - 2/7*i**4.
-2*i*(i + 1)**3/7
Let j = 251 + -249. Find g, given that -15/7*g + 12/7 + 3/7*g**j = 0.
1, 4
Let z(l) be the third derivative of l**7/315 + l**6/180 - 2*l**2. Suppose z(r) = 0. What is r?
-1, 0
Let x(j) be the third derivative of -j**5/240 + j**3/24 - 4*j**2. Factor x(z).
-(z - 1)*(z + 1)/4
Let x be 0*((-3)/(-3))/1. Suppose 6*i - 3*i = x. Factor 4*m + 2*m**2 + m - 4*m + i*m.
m*(2*m + 1)
Let o be (-4 - -18)*(-2)/(-12). Let s be (-26)/(-6) - (-3)/(-9). Factor 8/3*k**3 - o*k**2 - k**s + 0 + 2/3*k.
-k*(k - 1)**2*(3*k - 2)/3
Factor 1/3*c - 1/3*c**3 + 0*c**2 - 1/6 + 1/6*c**4.
(c - 1)**3*(c + 1)/6
Let r(g) be the first derivative of 4*g**3/3 + 4*g**2 - 19. Find q, given that r(q) = 0.
-2, 0
Solve 8/21*c + 14/3*c**3 + 0 + 8/3*c**2 = 0 for c.
-2/7, 0
Suppose 2*w + 4*v - 12 = 0, -5 = -11*v + 6*v. Find b such that 2/3*b**2 + 0 + 2/9*b**w - 2/3*b**3 - 2/9*b = 0.
0, 1
Let o(c) = c**2 + 10*c - 5. Let p be o(-11). Factor 8*x - 12*x**2 - p*x**4 - 3*x**3 + 4*x**4 - 2 + 11*x**3.
-2*(x - 1)**4
Let r be ((-14)/35)/(-1) - 6/(-15). Let -4/5*m**3 - 6/5*m**4 + r*m + 8/5*m**2 - 2/5 = 0. Calculate m.
-1, 1/3, 1
Let a(z) = -2*z - 8. Let i be a(-5). Determine r so that -2/7 + 2/7*r + 2/7*r**i - 2/7*r**3 = 0.
-1, 1
Let 57*h + 2*h**2 - 48*h - 5*h**2 = 0. What is h?
0, 3
Let t(s) be the third derivative of -s**8/10080 + s**7/3780 - s**4/6 - 4*s**2. Let k(x) be the second derivative of t(x). Factor k(p).
-2*p**2*(p - 1)/3
Let b(n) = -2*n + 3. Let k be b(3). Let v be (-2)/k - (-52)/(-117). Suppose 0 - 4/9*r - v*r**2 = 0. Calculate r.
-2, 0
Let g = -17 - -22. Suppose 4 + 37*b**4 - 12*b + 11*b**2 - b**3 - 40*b**4 + b**g + 0*b**5 = 0. Calculate b.
-2, 1, 2
Let n(x) be the third derivative of -x**8/33600 + x**6/300 - x**5/60 + 9*x**2. Let p(m) be the third derivative of n(m). Factor p(k).
-3*(k - 2)*(k + 2)/5
Let y(n) be the third derivative of 0*n - 1/7*n**7 + 0 - 1/42*n**8 - 1/3*n**5 - 3*n**2 + 1/3*n**3 - 1/3*n**6 + 0*n**4. Determine z so that y(z) = 0.
-1, 1/4
Let u(r) be the second derivative of r**6/480 - r**5/80 - 3*r**4/32 - 5*r**3/3 - 3*r. Let t(h) be the second derivative of u(h). Factor t(g).
3*(g - 3)*(g + 1)/4
Let p(o) be the first derivative of 11 + 1/3*o**3 + 0*o**2 + 0*o + 1/8*o**4. Determine d so that p(d) = 0.
-2, 0
Let l(o) be the second derivative of o**7/1260 - o**6/280 + o**5/210 + o**4/4 + 7*o. Let w(i) be the third derivative of l(i). Factor w(a).
2*(a - 1)*(7*a - 2)/7
Let r = -81 - -83. Let b(z) be the third derivative of -1/15*z**5 - 2*z**r - 1/20*z**6 + 5/9*z**4 + 0 - 8/9*z**3 + 0*z. Factor b(v).
-2*(v + 2)*(3*v - 2)**2/3
Find u such that 2*u**4 - 2/5*u**5 + 0*u + 0*u**3 + 0 + 0*u**2 = 0.
0, 5
Let u be 3*-1 - (-934)/(-40). Let i = 115/4 + u. Factor -9/5*y**3 - 12/5*y**2 + i*y + 0.
-3*y*(y + 2)*(3*y - 2)/5
Factor 1/5*o**2 - o + 6/5.
(o - 3)*(o - 2)/5
Let c(t) = t**2. Let n(p) = -3*p**2. Let l(o) = 2*c(o) + n(o). Find i such that l(i) = 0.
0
Factor -4*m**2 + 49 - 6*m**2 - 7*m**2 - 14*m + 18*m**2.
(m - 7)**2
Let s be 368/(-46) - (-66)/8. Factor -1/4*c + 1/4 + s*c**4 + 1/2*c**3 - 1/4*c**5 - 1/2*c**2.
-(c - 1)**3*(c + 1)**2/4
Let a be (-1)/(-7)*(3 + 3/(-3)). Let i(f) = f + 7. Let u be i(-5). Factor 0*l - 2/7*l**u - a*l**4 - 4/7*l**3 + 0.
-2*l**2*(l + 1)**2/7
Let b = 17 - 12. Suppose o + b*c - 5 = 4*c, 5*c = 15. Factor -o*s**4 - 4*s**3 - 16*s**5 + 9*s**4 + 11*s**4 + 2*s**5.
-2*s**3*(s - 1)*(7*s - 2)
Let p = 189 - 19844/105. Let b(c) be the second derivative of 2*c + 1/50*c**5 + 0 + 0*c**4 + 2/75*c**6 + 0*c**2 + 0*c**3 + p*c**7. Factor b(v).
2*v**3*(v + 1)**2/5
Factor 0*h**2 + 1/2*h**5 + 0*h + 0 + 1/4*h**4 - 1/4*h**3.
h**3*(h + 1)*(2*h - 1)/4
Let k(z) be the second derivative of -2*z**7/105 + 2*z**6/25 - 4*z**4/15 - 32*z. Factor k(u).
-4*u**2*(u - 2)**2*(u + 1)/5
Suppose 3*x = z + 6, -x = 3*z + 2*z - 2. Suppose z = -9*p + 10*p. Factor -4/3*b**4 - 2/3*b**5 + 0*b + p*b**2 - 2/3*b**3 + 0.
-2*b**3*(b + 1)**2/3
Let k(v) = v**2 - 3*v - 4. Let q(b) = 4*b**3 + b**2 - 2*b + 1. Let f be q(1). Let g be k(f). Find a, given that 2*a**2 - 2*a**4 - 1 + a**4 + g = 0.
-1, 1
Suppose 4*z - 8 = 0, -3*w - 4 - 2 = -3*z. Suppose -5*v + 4*v = w. Factor v*o + 1/3*o**3 - 1/3*o**2 + 0.
o**2*(o - 1)/3
Factor 0 - 4/9*w + 10/9*w**2.
2*w*(5*w - 2)/9
Let j = 8/39 - -5/39. Factor -j*r**2 - r**4 + 1/3*r**5 + r**3 + 0 + 0*r.
r**2*(r - 1)**3/3
Let m be (-14)/8 - -1 - (-833)/204. Let c be 29/6 + (-2)/3. Find g, given that 7/2*g**3 + m*g**4 + 2/3*g - 10/3*g**2 - c*g**5 + 0 = 0.
-1, 0, 2/5, 1
Suppose -2 - 1 = -i. Factor -i*r**4 + 2*r + 37*r**3 - 3 - 25*r**3 - 18*r**2 + 10*r.
-3*(r - 1)**4
Let v(s) = 6*s**4 + 21*s**3 + 17*s**2 + 5*s - 7. Let r(g) = -3*g**4 - 11*g**3 - 9*g**2 - 3*g + 4. Let h(t) = -5*r(t) - 3*v(t). Factor h(w).
-(w + 1)**3*(3*w - 1)
Let m(w) = 2*w - 2. Let b be m(4). Suppose -r = -b*r. Factor r - 1/3*f**3 + 1/3*f**2 - 1/3*f**4 + 1/3*f.
-f*(f - 1)*(f + 1)**2/3
Let i(t) be the first derivative of t**6/4 - 3*t**5/10 - 3*t**4/8 + t**3/2 - 27. Factor i(o).
3*o**2*(o - 1)**2*(o + 1)/2
Let v be (1*24)/(-4) + (-260)/(-39). Factor 0 - 5/3*t**2 - v*t.
-t*(5*t + 2)/3
Let o(w) be the third derivative of -w**7/588 - w**6/420 + w**5/210 - w**3/6 - 4*w**2. Let n(d) be the first derivative of o(d). Factor n(g).
-2*g*(g + 1)*(5*g - 2)/7
Let a be (0 - (-4)/4)*0. Let p be (-65)/(-100) + 2/(-5). Suppose 0*d**3 + a*d**2 + 0*d + 0 - p*d**4 = 0. What is d?
0
Let f(i) = 5*i - 18. Let n be f(4). Factor 0 - 6/7*m**3 + 0*m - 2/7*m**5 - 2/7*m**n - 6/7*m**4.
-2*m**2*(m + 1)**3/7
Let g be (-4 - -1)*6/(-9). Factor 2*r**2 - 4*r - 3*r**2 - g*r**2 + r**2.
-2*r*(r + 2)
Let n(b) be the third derivative of 0 + 1/30*b**5 + 0*b**6 - 1/105*b**7 - 2*b**2 + 0*b**4 + 0*b + 0*b**3. Factor n(t).
-2*t**2*(t - 1)*(t + 1)
Let b(s) be the second derivative of -1/48*s**4 - 3*s + 1/80*s**5 - 3/2*s**2 + 0*s**3 + 0 - 1/480*s**6. Let f(c) be the first derivative of b(c). Factor f(z).
-z*(z - 2)*(z - 1)/4
Factor 4*i**4 - 17*i**4 - 75*i**5 + 71*i**5 + i**4.
-4*i**4*(i + 3)
Let u(c) = 6*c**2 - 2*c + 1. Let a be u(1). Suppose 3 + a = 4*j. Find n, given that 0*n + n + 0*n**2 - 4*n**3 + n + j*n**2 = 0.
-1/2, 0, 1
Let d(t) = -2*t**3 - 45*t**2 - 72*t + 128. Let j(x) = -7*x**3 - 135*x**2 - 217*x + 383. Let a(w) = 8*d(w) - 3*j(w). Find l, given that a(l) = 0.
-5, 1
Let h be ((-6)/5)/(2/(-5)). Let y be -3 + (2 + -2 - -7)*1. Suppose 6/7*j**h + y*j**2 + 16/7 + 40/7*j = 0. What is j?
-2, -2/3
Let b(o) be the second derivative of o**7/7 - 2*o**6/3 + 6*o**5/5 - o**4 + o**3/3 - o. Factor b(p).
2*p*(p - 1)**3*(3*p - 1)
Let o be (8 + 1)*(-3)/9. Let y be o/(-6) - (1 - 1). Factor -w - y - 1/2*w**2.
-(w + 1)**2/2
Let w = 393 - 389. Suppose 0 + 0*c**2 + 4/5*c**w + 0*c + 2/5*c**5 + 2/5*c**3 = 0. Calculate c.
-1, 0
Let j(v) be the third derivative of -v**6/540 - v**5/54 - 2*v**4/27 - 4*v**3/27 + 2*v**2. Factor j(c).
-2*(c + 1)*(c + 2)**2/9
Let q(a) be the second derivative of a**6/195 - 3*a**5/130 + a**4/26 - a**3/39 + 10*a. Determine i, given that q(i) = 0.
0, 1
Let f(u) = 349*u**4 + 637*u**3 + 384*u**2 + 92*u + 8. Let t(j) = 1046*j**4 + 1911*j**3 + 1151*j**2 + 276*j + 24. Let q(g) = 17*f(g) - 6*t(g). Factor q(x).
-(x + 1)*(7*x + 2)**3
Let 2/17*f**5 + 6/17*f**4 + 6/17 + 2/17*f - 12/17*f**2 - 4/17*f**3 = 0. Calculate f.
-3, -1, 1
Let g(v) be the second derivative of v**7/840 - v**6/120 + v**5/60 - 5*v**3/6 - v. Let p(k) be the second derivative of g(k). Factor p(r).
r*(r - 2)*(r - 1)
Let y(b) be the second derivative of 2*b**2 + 0 + 4/15*b**6 + 17/10*b**5 + 13/3*b**3 + 4*b**4 - 2*b. Determine k, given that y(k) = 0.
-2, -1, -1/4
Let v = 1516 - 106117/70. Let d(i) be the second derivative of -1/21*i**3 - v*i**5 + 0*i**2 - 1/105*i**6 + 0 - 1/14*i**4 - 2*i. Factor d(k).
-2*k*(k + 1)**3/7
Let y be (-368)/(-36)*4/96. Let u = 2/27 + y. Solve -1/4*r**4 + 0*r**2 + u*r - 1/2*r**3 + 1/4 = 0.
-1, 1
Let 0 + 0*w**2 + 18/13*w - 2/13*w**3 = 0. What is w?
-3, 0, 3
Suppose g + 1 = -0*m + 3*m, 3*m - 2*g + 4 = 0. Solve 2/3*x**2 + 4/3 - m*x = 0 for x.
1, 2
Let a(s) = -s**3 + s**2 - s + 1. Let z(g) = -5*g**4 - 55*g**3 - 5*g**2 - 45*g + 30. Let o(r) = 30*a(r) - z(r). Factor o(h).
5*h*(h + 1)**2*(h + 3)
Let q(k) be the third d