*(b - 1)**3*(b + 1)**2/15
Let r(o) be the first derivative of o**3/8 + 3*o**2/16 - 27*o - 496. Suppose r(j) = 0. Calculate j.
-9, 8
Let i(t) be the second derivative of -1/6*t**4 + 0 - 16*t + 1/20*t**5 + 0*t**2 + 1/6*t**3. Suppose i(s) = 0. Calculate s.
0, 1
Let u be (-792)/240*(-2)/3 + -2. Factor -1/5*l**3 + u*l + 0 + 0*l**2.
-l*(l - 1)*(l + 1)/5
Factor -16 + 4*y**5 - 3*y**4 + 8*y**2 - 77*y**3 + 29*y**3 + 11*y**4 + 28*y + 16*y**3.
4*(y - 1)**3*(y + 1)*(y + 4)
Suppose 0 = 52*c + 5*c - 228. Let m(p) be the first derivative of 6*p**3 + 3/5*p**5 + 6*p**2 + 3*p**c + 3*p + 1. Find t such that m(t) = 0.
-1
Factor 11*q**4 + 6*q**2 - 3*q**5 + 22*q**4 - 15*q**3 - 31*q**4 + 10*q**4.
-3*q**2*(q - 2)*(q - 1)**2
Let d(q) be the second derivative of q**7/462 - 2*q**6/55 - 29*q**5/110 - 23*q**4/33 - 21*q**3/22 - 8*q**2/11 - 75*q. Determine i, given that d(i) = 0.
-1, 16
Find k such that k**4 + 15/4*k - 1/4*k**5 - 7*k**2 + 5/2*k**3 + 0 = 0.
-3, 0, 1, 5
Factor -21/5*l**3 + 0 - 3/5*l**4 - 21/5*l**2 + 9*l.
-3*l*(l - 1)*(l + 3)*(l + 5)/5
Let j(a) be the third derivative of -2*a**7/105 - 2*a**6/15 - 2*a**5/15 + 2*a**4/3 + 2*a**3 - 28*a**2 - 2. Factor j(n).
-4*(n - 1)*(n + 1)**2*(n + 3)
Suppose 194*y = 199*y - 125. Suppose y = 18*p - 13*p. Factor -6*i**3 + 9*i**p - 9*i**4 + 1/3 - 3*i + 26/3*i**2.
(i - 1)*(i + 1)*(3*i - 1)**3/3
Let a(h) = 4*h**3 + 12*h**2 + 6*h + 2. Let d(j) = 3*j**3 + 11*j**2 + 7*j - 1. Let w(g) = -5*a(g) + 6*d(g). Factor w(n).
-2*(n - 4)*(n - 1)*(n + 2)
Let m(c) = -3*c**4 + 5*c**2 - 4*c - 2. Let v(o) = 4*o**4 - 5*o**2 + 6*o + 1. Let i(z) = 3*m(z) + 2*v(z). Find n, given that i(n) = 0.
-2, -1, 1, 2
Let r(c) be the second derivative of -c**5/80 - 15*c**4/4 - 450*c**3 - 27000*c**2 - c + 55. Factor r(f).
-(f + 60)**3/4
Suppose 5*d - 3*d = -0*d. Let z(s) be the second derivative of -1/4*s**4 + 1/10*s**6 + d*s**2 + 1/2*s**3 - 3/20*s**5 + 0 - s. Find w such that z(w) = 0.
-1, 0, 1
Let q be (-132)/55 - 4/(-10). Let n be q/(-5) + 5085/475 + -3. Factor 8/19*y - 64/19*y**2 - 98/19*y**4 + 0 + n*y**3.
-2*y*(y - 1)*(7*y - 2)**2/19
Let w = -237 + 237. Let l(u) be the first derivative of w*u**3 + 0*u + 1 - 3/16*u**4 + 0*u**2. Factor l(g).
-3*g**3/4
Let y(j) be the first derivative of j**5 + 9 + 0*j**2 + 0*j**4 + 0*j**3 + 5/6*j**6 + 0*j. Factor y(f).
5*f**4*(f + 1)
Let a be (-2 + 0)*(-3 + (-14)/(-4)). Let q be (a*0/(-1))/(5 + -3). Find w such that 2/11*w**3 + q + 0*w**2 + 0*w - 2/11*w**4 = 0.
0, 1
Let b(l) be the third derivative of 27*l**2 + 1/2*l**4 - 1/2*l**3 + 0 + 3/70*l**7 - 1/10*l**5 + 0*l - 1/10*l**6. Factor b(v).
3*(v - 1)**2*(v + 1)*(3*v - 1)
Let c(y) = 8*y**2 - 120*y + 780. Let a(p) = 23*p**2 - 358*p + 2341. Let j(s) = -4*a(s) + 11*c(s). Determine f so that j(f) = 0.
14
Factor 0*i + 32*i**3 + 4*i - 22*i**3 - 2*i + 4 - 16*i**2.
2*(i - 1)**2*(5*i + 2)
Let p(n) be the third derivative of -1/420*n**6 + 0*n**4 - 5*n**2 + 0 + 0*n + 1/1176*n**8 + 1/735*n**7 - 1/210*n**5 + 0*n**3. Factor p(g).
2*g**2*(g - 1)*(g + 1)**2/7
Let z(u) be the first derivative of -5*u**4/2 - 178*u**3/3 - 344*u**2/5 - 136*u/5 - 353. Factor z(j).
-2*(j + 17)*(5*j + 2)**2/5
Let z be (3 - 4 - 5)/((-12)/8). Suppose -30*r**5 - 23*r**5 - 2*r**2 - r + 2*r**z + 54*r**5 = 0. Calculate r.
-1, 0, 1
Let u(l) = -l**3 + 18*l**2 - 18*l + 19. Let r be ((-1)/3)/(5/(-255)). Let j be u(r). Solve 4*m**2 - m**2 - 2*m**4 - m**j = 0 for m.
-1, 0, 1
Let b(w) be the second derivative of w**4/8 + 3*w**3/4 - 3*w**2 + 154*w. Suppose b(r) = 0. What is r?
-4, 1
Let y be -81*(-2)/(-5)*(-40)/12. Let t = -215/2 + y. Factor 3/2 - 1/2*s**3 + t*s - 3/2*s**2.
-(s - 1)*(s + 1)*(s + 3)/2
Let u(h) = -896*h**3 + 251*h**2 + 56*h - 16. Let z(a) = 5824*a**3 - 1632*a**2 - 364*a + 104. Let q(j) = 32*u(j) + 5*z(j). Find g such that q(g) = 0.
-1/4, 1/4, 2/7
Let h(m) be the second derivative of -m**6/960 + m**5/240 + m**4/192 - m**3/24 + 19*m**2/2 - 19*m. Let j(k) be the first derivative of h(k). Factor j(f).
-(f - 2)*(f - 1)*(f + 1)/8
Factor -9 - 26/3*p + 1/3*p**2.
(p - 27)*(p + 1)/3
Let l(n) be the third derivative of -12*n**2 - 7/3*n**4 + 4/3*n**3 + 0*n - 7/15*n**7 + 3/2*n**5 + 0 + 7/15*n**6. What is k in l(k) = 0?
-1, 2/7, 1
Let r(c) be the third derivative of c**10/100800 - c**9/80640 - c**8/26880 - c**5/60 - 8*c**2. Let m(y) be the third derivative of r(y). Factor m(i).
3*i**2*(i - 1)*(2*i + 1)/4
Let d = -64 + 69. Let f(i) be the third derivative of -1/10*i**d - 14*i**2 + 0*i + 0 + 0*i**3 + 1/40*i**6 - 3/8*i**4. Factor f(a).
3*a*(a - 3)*(a + 1)
Let b(v) be the first derivative of v**4/18 - 34*v**3/27 + 40*v**2/9 + 200*v/3 + 106. Factor b(f).
2*(f - 10)**2*(f + 3)/9
Let g = -34/5 - -7. Let x(p) be the first derivative of g*p**5 + 6 + 3/4*p**4 + p**3 + 0*p + 1/2*p**2. Determine z, given that x(z) = 0.
-1, 0
Suppose -b = -0*s - 4*s + 11, -4*s = -3*b - 9. Let o(f) be the first derivative of -2 - s*f + 5*f**2 + f**4 + f**2 - f - 4*f**3. Suppose o(t) = 0. Calculate t.
1
Suppose -42436*z**2 - 8 - 7 - 1 - 1348*z - 300*z = 0. Calculate z.
-2/103
Factor 207*q**3 + 1555 - 186 - 2664*q + 1222*q**2 + q**4 - 135*q**3.
(q - 1)**2*(q + 37)**2
Let s(p) = -p**3 - 5*p**2 - 2*p - 6. Let t be s(-5). Factor 7*x**2 - t*x**3 + x - 8*x - 2 + 5*x + 1.
-(x - 1)**2*(4*x + 1)
Suppose 0 = -r - 2*d - 22, 4*r + 0*r + 70 = d. Let y be r/(-7) - -1 - (-33)/77. Solve -3/7*b + 0 + 9/7*b**2 + 3/7*b**y - 9/7*b**3 = 0.
0, 1
Let v(j) be the third derivative of 0 + 5/2*j**4 + 16*j**2 + 0*j + 29/20*j**5 + 3/70*j**7 + 2/5*j**6 + 2*j**3. Determine l, given that v(l) = 0.
-2, -1, -1/3
Let y(j) be the third derivative of j**7/4620 - j**6/990 - j**5/660 + j**4/66 + 19*j**3/6 - 14*j**2. Let x(m) be the first derivative of y(m). Factor x(o).
2*(o - 2)*(o - 1)*(o + 1)/11
Let q be 6 + 2 - (-5 + 4 + 5). Let s(x) be the first derivative of -1/18*x**q + 0*x + 10 + 0*x**2 - 2/27*x**3. Factor s(i).
-2*i**2*(i + 1)/9
Let o(u) = u**2 + u - 3. Let s be o(-4). Solve 11*w**3 - 23*w**3 + s*w**3 = 0.
0
Let c(o) be the third derivative of 13*o**6/450 + 19*o**5/150 + o**4/5 - 5*o**3 - 33*o**2. Let m(v) be the first derivative of c(v). What is b in m(b) = 0?
-1, -6/13
Let j(u) be the first derivative of -20 - 10*u**2 + 0*u - 25/4*u**4 - 40/3*u**3 - u**5. Factor j(s).
-5*s*(s + 1)*(s + 2)**2
Let x(r) be the first derivative of 3*r**4/28 - 20*r**3/21 - 61*r**2/14 - 18*r/7 + 378. Factor x(s).
(s - 9)*(s + 2)*(3*s + 1)/7
Solve 7*c - 32*c - 32*c**3 + 72*c**2 + 3*c**4 + 2*c**3 - 28*c - 75 + 83*c = 0 for c.
-1, 1, 5
Factor -11*j**2 + 55*j**2 - 82*j**2 + 73*j**2 - 270 + 165*j + 65*j**2 + 5*j**3.
5*(j - 1)*(j + 3)*(j + 18)
Suppose -3*x - 180 + 648 = 0. Let u = x + -623/4. Factor 3/4*a**5 + 0*a - u*a**4 + 0 + 0*a**2 - 1/2*a**3.
a**3*(a - 1)*(3*a + 2)/4
Factor 6*z**3 + 3*z**2 - 1 - 12*z - 1 - 10 - 3*z**3.
3*(z - 2)*(z + 1)*(z + 2)
Let w(z) = -2*z**3 + 52*z**2 - 336*z + 284. Let c(x) = -4*x**3 + 105*x**2 - 672*x + 566. Let t(a) = 2*c(a) - 5*w(a). Factor t(k).
2*(k - 12)**2*(k - 1)
Factor 0*y - 1/3*y**2 + 1/3*y**3 + 0.
y**2*(y - 1)/3
Let o(n) = 4*n - 25. Let b be o(7). Factor 9*r**3 - 20*r**4 - 39*r**b - 20*r**2 - 11*r**5 - 5*r + 6*r**5.
-5*r*(r + 1)**4
Let g(k) be the second derivative of 3/2*k**3 - 9*k + 3*k**2 + 0 + 1/4*k**4. Factor g(m).
3*(m + 1)*(m + 2)
Let u = 13170 + -13166. Let -1458/11*y**u + 32/11 - 576/11*y**2 - 3240/11*y**3 + 160/11*y = 0. What is y?
-2, -2/9, 2/9
Let l(c) = -c**3 - 4*c**2 + 27*c + 110. Let p be l(-4). Let 15/2*d**3 + 0 + 0*d - 5/2*d**4 + 10*d**p = 0. Calculate d.
-1, 0, 4
Let d(v) = -2*v**5 + v**4 - 3*v**3 + 3*v**2. Let s(y) be the second derivative of -y**7/42 - y**5/20 + y**4/12 - 6*y. Let n(l) = d(l) - 3*s(l). Factor n(f).
f**4*(f + 1)
Determine x so that 0 + 0*x + 6/7*x**2 - 1/7*x**3 - 1/7*x**4 = 0.
-3, 0, 2
Let l be ((-195)/(-25) - 7)/(2/5). Let y(n) be the second derivative of -1/20*n**5 + 0 + 5/12*n**4 - 3*n - 4/3*n**3 + 2*n**l. Suppose y(s) = 0. What is s?
1, 2
Let q(k) be the first derivative of -k**7/2940 - k**6/315 - k**5/84 - k**4/42 + k**3/3 - 11. Let c(r) be the third derivative of q(r). Factor c(a).
-2*(a + 1)**2*(a + 2)/7
Let i = 16 + -8. What is m in -10*m - 2*m**2 - 2 - i + 2 = 0?
-4, -1
Let z(o) = -o**4 - 2*o**3 + o + 1. Let j(n) = 4*n**5 - 15*n**4 + 30*n**3 + 20*n**2 - 29*n - 5. Let b(i) = j(i) + 5*z(i). Solve b(x) = 0 for x.
-1, 0, 1, 2, 3
Let m(o) be