s**3 - 38*s - 4*s**3 = 0.
-19, -1, 0, 1
Suppose -2*h - 10 + 108 = 0. Factor -6 - h*q**2 + 2*q**3 + 69*q**2 - 5*q - 14 + 3*q**3.
5*(q - 1)*(q + 1)*(q + 4)
Let c(i) = i + 10. Let g be c(-22). Let v = 14 + g. Factor 1/5*q**3 + 0*q**v + 0 - 1/5*q.
q*(q - 1)*(q + 1)/5
Let z(i) be the second derivative of -1/50*i**6 - 1/5*i**3 - 3/25*i**5 + 21*i + 0*i**2 + 0 - 1/4*i**4. Factor z(j).
-3*j*(j + 1)**2*(j + 2)/5
Suppose 0 = 3*k + 5*q + 11, 22 - 5 = 3*k - 2*q. Let p = 10 - 8. Determine v, given that v**k - 1 + p + 32*v - 34*v**2 + 9*v**3 - 9 = 0.
2/5, 1, 2
Let f(g) be the third derivative of g**8/112 + g**7/7 - 11*g**6/40 + 154*g**2. Factor f(v).
3*v**3*(v - 1)*(v + 11)
Let r be -6 + 1 - (-6 + 8). Let s = 11 + r. Factor h + s*h + 24*h**3 + 2*h - 11*h - 10*h**2.
2*h*(3*h - 2)*(4*h + 1)
Suppose d = -66 + 22. Let x(s) = -5*s**4 + 7*s**3 - 5*s**2 + 3*s. Let g(w) = 36*w**4 - 50*w**3 + 36*w**2 - 22*w. Let z(q) = d*x(q) - 6*g(q). Factor z(v).
4*v**2*(v - 1)**2
Let o be (-7 - (-5255)/750)/1. Let u(r) be the second derivative of -o*r**6 + 0*r**3 - 1/100*r**5 + 4*r + 0 + 0*r**4 + 0*r**2. Factor u(c).
-c**3*(c + 1)/5
Determine m, given that 2/7*m**2 + 160/7*m + 3200/7 = 0.
-40
Let n(d) be the first derivative of 17*d**6/480 + 3*d**5/20 + d**4/24 + 5*d**2/2 - 8. Let b(o) be the second derivative of n(o). What is s in b(s) = 0?
-2, -2/17, 0
Suppose 3*f - 226*y + 223*y = -6, -20 = -4*y. Factor -3/5 + 7/5*n + 1/5*n**f - n**2.
(n - 3)*(n - 1)**2/5
Find t, given that -t**2 + 1/3*t**4 - 10/3 - 5/3*t**3 + 17/3*t = 0.
-2, 1, 5
Let z(y) be the third derivative of -y**7/490 - 9*y**6/280 + 11*y**5/140 + 9*y**4/56 - 5*y**3/7 + 13*y**2 - 17. Solve z(d) = 0.
-10, -1, 1
Let a(m) be the second derivative of -m**6/5 - m**5/5 + 6*m**4 + 24*m**3 + 32*m**2 - 917*m. Solve a(b) = 0.
-2, -2/3, 4
Factor -2/11*c**4 + 10/11*c - 2/11*c**3 + 6/11*c**2 + 4/11.
-2*(c - 2)*(c + 1)**3/11
Let l(j) be the third derivative of -j**9/60480 - j**8/13440 + j**7/3360 + 5*j**4/8 + 5*j**2. Let k(p) be the second derivative of l(p). Factor k(g).
-g**2*(g - 1)*(g + 3)/4
Suppose -46 + 188 = 71*k. Factor 0*z + 0*z**k + 1/5*z**3 - 1/5*z**4 + 0.
-z**3*(z - 1)/5
Factor -131*n**2 + 71*n**2 + 4*n**4 + 3*n**4 + 2*n**3 - n**5 - 28*n + 100*n.
-n*(n - 6)*(n - 2)**2*(n + 3)
Let i(z) = 5*z**5 + 5*z**4 + z**3 - 5*z**2 - 6. Let m(x) = -30*x**5 - 30*x**4 - 5*x**3 + 30*x**2 + 35. Let g(h) = 35*i(h) + 6*m(h). Let g(r) = 0. What is r?
-1, 0, 1
Let k = -29/10 - -17/5. Let f(x) be the first derivative of 1/12*x**4 + 0*x**3 - 8 - k*x**2 - 2/3*x. Factor f(y).
(y - 2)*(y + 1)**2/3
Let p = -2/10707 - -53539/21414. Factor -p*f**2 + 3/2 + f.
-(f - 1)*(5*f + 3)/2
Let c(i) = -i**2 + 3*i + 1. Let l(v) = -2*v**2 - 4*v + 1. Let u(d) = 2*c(d) - 2*l(d). Solve u(w) = 0.
-7, 0
Solve -98/5*x**3 + 48/5 + 644/5*x**2 - 344/5*x = 0 for x.
2/7, 6
Suppose -14*d = 47*d - 3 + 3. Factor 0 + d*b + 2/11*b**2.
2*b**2/11
Let w(s) be the third derivative of -s**6/60 + 2*s**5/15 - 5*s**4/12 + 2*s**3/3 - 3*s**2 - 8. Factor w(x).
-2*(x - 2)*(x - 1)**2
Let v(j) = 25*j**3 + 48*j**2 - 29*j + 5. Let o(q) = -1 + 3 + 13*q**3 + 0*q + 24*q**2 - 11*q - 3*q. Let t(k) = -5*o(k) + 2*v(k). Suppose t(x) = 0. Calculate x.
-2, 0, 2/5
Let z(r) be the second derivative of -r**4/6 - 20*r**3/3 + 21*r**2 - 230*r. Factor z(m).
-2*(m - 1)*(m + 21)
Let c(w) be the second derivative of w**7/2940 - w**5/140 - w**4/42 - 2*w**3 + w. Let v(s) be the second derivative of c(s). Suppose v(l) = 0. What is l?
-1, 2
Solve 53*d + 1250 + 2*d**2 + 0*d + 47*d = 0.
-25
Let k(u) be the second derivative of 1/6*u**4 - 12*u + 0*u**2 + 4/3*u**3 + 0. Determine c so that k(c) = 0.
-4, 0
Let y(w) be the second derivative of 0 + 0*w**2 - 1/48*w**4 - 1/8*w**3 - 6*w. Factor y(h).
-h*(h + 3)/4
Let p(z) be the first derivative of 0*z**3 + 1/16*z**4 - 1/20*z**5 + 0*z**2 + 0*z + 4. Factor p(a).
-a**3*(a - 1)/4
Let r be (29 + -5)/(3 - 3/2). Let w(q) = -q**2 + 12*q + 66. Let o be w(r). Factor 9/7*b**o + 3/7*b**4 - 9/7*b**3 - 3/7*b + 0.
3*b*(b - 1)**3/7
Factor 3267/2*p + 1331 - 1023/2*p**2 - 3/2*p**4 + 97/2*p**3.
-(p - 11)**3*(3*p + 2)/2
Let i(a) be the third derivative of 16129*a**5/60 + 127*a**4/12 + a**3/6 + 2*a**2 + 200. Determine q, given that i(q) = 0.
-1/127
Let f(q) = 3*q - 426. Let p be f(143). What is i in -3*i - 1/2 - 9/2*i**2 - 2*i**p = 0?
-1, -1/4
Let b(s) be the first derivative of -s**3/18 - 5*s**2/4 + 8*s/3 + 656. Factor b(q).
-(q - 1)*(q + 16)/6
Let r(k) = 2*k**2 + 2*k. Suppose 32 = 5*x - 2*m, -3*m + 36 = x + 2*x. Let g(j) = 5*j**2 + 6*j. Let t(c) = x*r(c) - 3*g(c). Factor t(z).
z*(z - 2)
Let i(o) be the second derivative of o**8/252 - o**6/90 + 7*o**2/2 - 8*o. Let p(q) be the first derivative of i(q). Determine g so that p(g) = 0.
-1, 0, 1
Let v(x) = -4*x - 268 - x**4 + 2*x**3 + x**2 - x + 265. Let z(p) = 2*p**4 - 3*p**3 - 2*p**2 + 10*p + 7. Let r(i) = 7*v(i) + 3*z(i). Factor r(h).
-h*(h - 5)*(h - 1)*(h + 1)
Factor -18/5*j + 8/5 - 2/5*j**3 + 12/5*j**2.
-2*(j - 4)*(j - 1)**2/5
Factor -25/2 - 1/2*r**2 + 5*r.
-(r - 5)**2/2
Let g be (91/(-14) - -4)*(-14)/270. Let a(l) be the second derivative of 1/3*l**3 + 0 - 2/9*l**2 + 10*l - g*l**4. Determine i, given that a(i) = 0.
2/7, 1
Let o(z) be the third derivative of -2*z**7/21 - 4*z**6/15 + 19*z**5/15 - z**4 + 2*z**2 + 6. Factor o(h).
-4*h*(h - 1)*(h + 3)*(5*h - 2)
Find h such that -11*h**2 - 10*h**2 + 15*h**3 - 15*h + 52*h**2 - 9 - 12*h**2 - 10*h**2 = 0.
-1, -3/5, 1
Let y(x) be the second derivative of -x**6/120 + x**5/12 - x**4/3 + 2*x**3/3 + 11*x**2/2 - 10*x. Let j(h) be the first derivative of y(h). Solve j(m) = 0 for m.
1, 2
Let f = 4/399 - -32/57. Factor f*w + 2/7*w**2 + 0 - 2/7*w**3.
-2*w*(w - 2)*(w + 1)/7
Find q, given that 4/3*q**2 - 8*q - 36 = 0.
-3, 9
Let t = -3663/2 - -18321/10. Factor -3/5*r**2 - t*r + 0.
-3*r*(r + 1)/5
Solve 32/13 + 32/13*h + 6/13*h**4 - 32/13*h**2 - 8/13*h**3 = 0.
-2, -2/3, 2
Let x(m) be the first derivative of m**3 + 33*m**2 + 363*m - 21. Suppose x(j) = 0. Calculate j.
-11
Let k = -39 - -62. Factor -144 - 16*y**2 + k*y**2 - 4*y**3 - 43*y**2 - 192*y - 16*y**2.
-4*(y + 1)*(y + 6)**2
Let b(z) = 7*z**4 + 9*z**3 - 6*z**2 - 21*z - 13. Let r = -35 - -30. Let i(h) = 6*h**4 + 8*h**3 - 6*h**2 - 20*h - 12. Let v(n) = r*i(n) + 4*b(n). Factor v(q).
-2*(q - 2)*(q + 1)**2*(q + 2)
Let q(a) be the third derivative of a**5/12 - 25*a**4/8 - 40*a**3/3 + 106*a**2. Factor q(k).
5*(k - 16)*(k + 1)
Let y(u) = 115*u - 205. Let j(r) = -r**2 + 173*r - 307. Let w(f) = -5*j(f) + 7*y(f). Determine z, given that w(z) = 0.
2, 10
Find s, given that 0 - 4/3*s**2 + 20/3*s = 0.
0, 5
Let o(u) = u**4 + u**3 + u**2 - 2*u - 1. Let m(j) = 35*j**4 - 130*j**3 + 55*j**2 + 10*j + 10. Let z(v) = -m(v) - 10*o(v). Solve z(k) = 0.
0, 1/3, 2
Let p(v) = -v**3 - 10*v**2 + 12*v + 14. Let x be p(-11). Factor -6*i**2 - i**2 + 4*i**3 + i**x + 2*i**2.
5*i**2*(i - 1)
Let k(q) = -q**3 - 14*q**2 - 15*q - 20. Let l be k(-13). Factor -8*h**3 - h + 28*h + 5*h + 6 + l + 12*h**2.
-4*(h - 3)*(h + 1)*(2*h + 1)
Let t(v) = 39*v - 4251. Let j be t(109). Factor 1/4*x**2 + 0*x + 0*x**3 + j - 1/4*x**4.
-x**2*(x - 1)*(x + 1)/4
Factor -98/9*z**2 - 2/9*z**3 + 202/9*z - 34/3.
-2*(z - 1)**2*(z + 51)/9
Factor -64 - 53*w + 4*w**2 + 32*w - 3*w.
4*(w - 8)*(w + 2)
Let o(f) be the second derivative of f**4/21 + 2*f**3/21 - 220*f**2/7 - 766*f. Factor o(t).
4*(t - 10)*(t + 11)/7
Let m(l) = -l**3 + 4*l**2 - 2*l - 1. Let z be m(3). Let v = -2/417 + 186/139. Find p, given that -5/3*p**3 + 8/3*p + v - 7/3*p**z = 0.
-2, -2/5, 1
Let v = 24 - 20. Suppose 0 = 3*c + 2*y - 10, v*y - 9 - 3 = -2*c. Let 11*p**2 - 7*p**4 + p**2 - 14*p**3 + p**4 - c*p**4 + 14*p - 4 = 0. Calculate p.
-2, -1, 1/4, 1
Factor 0 - 4*f + 2/13*f**2.
2*f*(f - 26)/13
Let r(f) = -10*f**5 - 26*f**4 + 4*f**3 + 26*f**2 - 6*f - 6. Let d(y) = -9*y**5 - 25*y**4 + 4*y**3 + 25*y**2 - 5*y - 5. Let x(k) = -6*d(k) + 5*r(k). Factor x(a).
4*a**2*(a - 1)*(a + 1)*(a + 5)
Suppose 6*p + 64 = 8*p. Suppose -10*a + 18*a = p. Factor -3/4*s**2 + 3/4*s**a - 3/4*s + 3/4*s**3 + 0.
3*s*(s - 1)*(s + 1)**2/4
Let i(s) be the second derivative of -s**6/10 + 3*s**5/5 + 3*s**4/4 - 7*s**3 + 12*s**2 + 2*s + 5. Find t, given that i(t) = 0.
-2, 1, 4
Determine i, given that 0 + 1/4*i**3 - 1/4*i + 0*i**2 = 0.
-1, 0, 1
Let v(k) be the third derivative of 9*k**6/320 - 13*k**5/40 + 33*k**