. Let p(s) be the third derivative of k(s). Factor p(y).
2*(y - 7)*(y - 1)**2/11
Factor -8 - 2/9*f**2 - 40/9*f.
-2*(f + 2)*(f + 18)/9
Let y(n) be the first derivative of 7*n**4/2 + 122*n**3/9 + 12*n**2 - 8*n/3 + 714. Find u, given that y(u) = 0.
-2, -1, 2/21
Let c(d) be the first derivative of d**4/8 - 13*d**3/3 + 146. Determine g so that c(g) = 0.
0, 26
Let u(f) be the third derivative of f**8/1344 + f**7/168 + 7*f**6/480 + f**5/80 - 4*f**2 + 2*f. Factor u(v).
v**2*(v + 1)**2*(v + 3)/4
Let x(k) = -k**4 + k**3 + 3*k**2 + k - 1. Let w(c) = 8*c**4 + 21*c**3 + 273*c**2 + 1365*c + 2408. Let v(z) = -3*w(z) - 21*x(z). Factor v(r).
-3*(r + 7)**4
Let l(h) be the second derivative of -h**5/110 + h**4/66 + 2*h - 38. Find v, given that l(v) = 0.
0, 1
Determine b so that 28/17 + 10/17*b + 2/17*b**3 - 16/17*b**2 = 0.
-1, 2, 7
Let y(b) = 9*b**2 - 31*b + 6. Let d(q) = -17*q**2 + 61*q - 13. Let o(u) = -4*d(u) - 7*y(u). Factor o(x).
(x - 5)*(5*x - 2)
Factor 397 + t**2 + 25*t**3 + 29*t**2 - 160*t - 557 - 5*t**4.
-5*(t - 4)**2*(t + 1)*(t + 2)
Let l(r) be the first derivative of r**4/6 - 26*r**3/3 - 27*r**2 - 82*r/3 + 393. Factor l(h).
2*(h - 41)*(h + 1)**2/3
Let u(v) be the second derivative of 6/5*v**2 - 2/75*v**6 + 2/5*v**4 - 23*v + 16/15*v**3 + 0*v**5 + 0. Suppose u(d) = 0. Calculate d.
-1, 3
Let x(w) be the second derivative of -w**5/70 + w**4/21 + w**3/7 + 52*w. Factor x(u).
-2*u*(u - 3)*(u + 1)/7
Let q(g) be the third derivative of 9*g**9/1120 + 9*g**8/1120 + g**7/420 + 5*g**4/4 - 28*g**2. Let f(z) be the second derivative of q(z). Factor f(s).
3*s**2*(9*s + 2)**2/2
Factor 21/5*p - 18/5 - 6/5*p**2.
-3*(p - 2)*(2*p - 3)/5
Solve 55/3 + 1/3*j**2 - 56/3*j = 0.
1, 55
Let u be (-4)/(12/(-10) - 124/155). Suppose 4*k = 2*v - 4 + 2, -3 = -4*k + v. Determine a so that -3*a**k + 64 - 32*a + 6*a**2 + a**u = 0.
4
Let l(w) be the second derivative of -w**7/210 + w**6/90 - 2*w**3/3 - 15*w. Let z(y) be the second derivative of l(y). What is g in z(g) = 0?
0, 1
Let b(p) be the second derivative of p**7/15120 - p**6/1080 + p**5/240 - 9*p**4/4 - 8*p. Let s(a) be the third derivative of b(a). Factor s(w).
(w - 3)*(w - 1)/6
Let n(m) = -2*m**3 - 458*m**2 + 5738*m - 5302. Let y(h) = -h**3 - 183*h**2 + 2295*h - 2121. Let w(c) = 5*n(c) - 12*y(c). Factor w(b).
2*(b - 23)**2*(b - 1)
Let j = -31063/3144 + 79/8. Let l = j + 268/1179. Factor -l*m**4 - 8/9*m**3 - 4/3*m**2 - 8/9*m - 2/9.
-2*(m + 1)**4/9
Suppose -5*k - 2*t + 44 = 0, -5*k + 3*k - 5*t = -26. Let 0*i**3 - 9*i**2 - 5*i**3 + 1 + 5*i + k*i**2 = 0. What is i?
-1, -1/5, 1
Let u(z) = z**2 + 15*z - 27. Let a(j) = j**2 + 15*j - 28. Let c(h) = 7*a(h) - 6*u(h). Factor c(g).
(g - 2)*(g + 17)
Let b be (270/(-12))/(2/4). Let k = 227/5 + b. Let 0 - 8/5*f + 6/5*f**3 + 0*f**2 + k*f**4 = 0. Calculate f.
-2, 0, 1
Let q be (1/(-2))/((-7)/(3 - -67)). Let d(x) be the first derivative of -x**2 - q + 4*x - 2/3*x**3. Solve d(j) = 0 for j.
-2, 1
Let a(g) be the first derivative of 5/11*g**2 + 21 - 8/11*g - 2/33*g**3. Factor a(j).
-2*(j - 4)*(j - 1)/11
Let q(a) be the first derivative of 3*a**4/4 + 2*a**3 - 21*a**2/2 + 12*a + 220. Factor q(z).
3*(z - 1)**2*(z + 4)
Suppose -3*s - 2*q = -9 + 1, -5*s = -2*q - 8. Factor 223 + s*t**3 - 13*t**2 + 104*t + 112*t + 49*t**2 + 209.
2*(t + 6)**3
Let l(g) be the second derivative of -g**7/189 - 2*g**6/45 - 13*g**5/90 - 2*g**4/9 - 4*g**3/27 + 2*g - 50. Solve l(r) = 0.
-2, -1, 0
Let h(l) be the second derivative of -36*l**2 - 4*l - 1/6*l**4 - 4*l**3 + 0. Factor h(f).
-2*(f + 6)**2
Suppose 14 = -3*m + 5, 0 = -3*u - 3*m - 3. Factor -4/7*h - 2/7*h**3 + 0 - 6/7*h**u.
-2*h*(h + 1)*(h + 2)/7
Suppose -2*u - 3*n - 18 = -n, 18 = -5*u + 4*n. Let o be (6/(-9) - 16/u) + -2. Find s such that 0 + 3/4*s**3 + 0*s + o*s**4 + 0*s**2 - 3/4*s**5 = 0.
-1, 0, 1
Let g(q) be the first derivative of 7*q**6/40 + 31*q**5/20 + 33*q**4/8 + 9*q**3/2 + 5*q**2 - 14. Let y(d) be the second derivative of g(d). Solve y(c) = 0.
-3, -1, -3/7
Let v(a) be the first derivative of a**6/720 - a**5/180 - 3*a**2 - 5. Let c(t) be the second derivative of v(t). Determine s, given that c(s) = 0.
0, 2
Let y(z) be the second derivative of 1/30*z**6 - 21*z + 0*z**2 - 6/5*z**5 + 16*z**4 + 0 - 256/3*z**3. Find w such that y(w) = 0.
0, 8
Let f(h) = h**2 + 26*h + 163. Let v be f(-16). Determine c, given that -6/17*c**v + 0 + 2/17*c**5 + 4/17*c - 2/17*c**4 + 2/17*c**2 = 0.
-1, 0, 1, 2
Let b(k) be the first derivative of 40/3*k**3 - 32*k + 2/3*k**6 - 5*k**4 - 8/5*k**5 + 4 + 8*k**2. Solve b(g) = 0 for g.
-2, -1, 1, 2
Let n(b) = -80*b**2 + 80*b + 270. Let a(d) = d**2 - d. Let q(p) = -9*p**2 + 9*p + 10. Let k(y) = -6*a(y) - q(y). Let t(f) = 55*k(f) + 2*n(f). Factor t(c).
5*(c - 2)*(c + 1)
Suppose 42/5*j**2 + 24/5 - 24/5*j**4 - 57/5*j**3 + 84/5*j + 3*j**5 = 0. Calculate j.
-1, -2/5, 2
Let b(h) be the third derivative of h**7/210 - h**6/40 + h**5/60 + h**4/8 - h**3/3 + 120*h**2. Factor b(u).
(u - 2)*(u - 1)**2*(u + 1)
Factor -8/15*s**2 - 2/15*s**3 + 4/5 - 2/15*s.
-2*(s - 1)*(s + 2)*(s + 3)/15
Let q = 24278 + -169871/7. Determine u, given that 3/7*u**3 - 432/7 + 72*u - q*u**2 = 0.
1, 12
Let n(j) be the first derivative of 2*j**5/25 + j**4/2 - 4*j**3/5 + 59. Factor n(x).
2*x**2*(x - 1)*(x + 6)/5
Suppose 3696*z + 4 = 3697*z. What is c in -4/3*c**3 + c**2 - 4/3*c**z - 1/3 + 2/3*c = 0?
-1, 1/2
Let q be (-122)/252*-3 - (-2)/(-12). Let 0 + 0*z + 3/7*z**2 - q*z**5 - 3/7*z**4 + 9/7*z**3 = 0. Calculate z.
-1, -1/3, 0, 1
Suppose 0 = -7*n + n + 24. Factor -12*d**4 + 4*d**3 - 28*d**2 + 56*d**3 - 15*d - d - n*d**3.
-4*d*(d - 4)*(d - 1)*(3*d + 1)
Let i(m) be the second derivative of -1/6*m**4 + 2/15*m**3 + 0 - 2*m + 0*m**2. Suppose i(h) = 0. What is h?
0, 2/5
Let j(s) be the first derivative of -1/6*s**4 - 4*s**2 - 2*s - 9 + 4/3*s**3. Let q(v) be the first derivative of j(v). What is h in q(h) = 0?
2
Let d = 8 + -9. Let y be d + ((-19)/5)/((-36)/20). Solve -14/9*k**5 + y*k**3 + 0 + 4/9*k - 2*k**2 + 2*k**4 = 0 for k.
-1, 0, 2/7, 1
Let p(z) be the second derivative of -z**6/6 + 3*z**5/4 + 5*z**4/2 - 70*z**3/3 + 60*z**2 + 58*z - 1. Solve p(u) = 0.
-3, 2
Let i(o) = -o - 2. Let a be i(-4). Suppose 5*h + 10*t = 7*t - 12, 3*h = -t - 4. What is j in 0 + 6/11*j**4 + 0*j + h*j**3 + 4/11*j**5 - 2/11*j**a = 0?
-1, 0, 1/2
Let a(k) be the third derivative of 5/54*k**4 + 0*k + 18*k**2 - 1/270*k**5 + 0 - 25/27*k**3. Find y such that a(y) = 0.
5
Let o = 0 + 2. Let y be 864/208 + (-4)/26. Determine u, given that 0*u**3 - y*u**2 - 4*u**2 - 4*u**3 + 3*u**2 - o*u - u**4 = 0.
-2, -1, 0
Let a = -325/93 + 191/31. Determine m so that a*m**4 + 32/3*m**2 - 2*m - 34/3*m**3 + 0 = 0.
0, 1/4, 1, 3
Factor 273/2*b - 24843/4 - 3/4*b**2.
-3*(b - 91)**2/4
Let h(f) be the first derivative of -f**4/90 - 2*f**3/45 - 13*f - 16. Let t(k) be the first derivative of h(k). Factor t(o).
-2*o*(o + 2)/15
Let j = -796 + 805. Let n(i) be the first derivative of 0*i - 32/3*i**3 - 12*i**4 + j - 24/5*i**5 - 2/3*i**6 + 0*i**2. Find h, given that n(h) = 0.
-2, 0
Let i = 629 - 624. Let a(t) be the third derivative of -1/180*t**6 + 0*t**3 + 0*t + 0 - 3*t**2 + 1/18*t**4 + 1/90*t**i. Solve a(n) = 0 for n.
-1, 0, 2
Let w(z) be the second derivative of -2*z**4/3 + z**3 + z**2 - 94*z. Let w(a) = 0. Calculate a.
-1/4, 1
Find z, given that 12/5*z**2 - 13/5*z**3 + 0*z + 1/5*z**4 + 0 = 0.
0, 1, 12
Suppose 162*p - 181*p + 38 = 0. Factor 2/21*d**p - 6/7 - 16/21*d.
2*(d - 9)*(d + 1)/21
Let o = 2/1711 - -1701/8555. Let l + o*l**2 + 4/5 = 0. What is l?
-4, -1
Let v(r) be the second derivative of r**4/4 + 39*r**3/2 - 123*r**2 - 587*r. Factor v(d).
3*(d - 2)*(d + 41)
Factor -18*d**3 - 9*d + 15 + 21 + 59*d - 6*d**2 + 28*d**4 - 26*d**4.
2*(d - 9)*(d - 2)*(d + 1)**2
Let r(u) be the third derivative of 0*u**3 + 25*u**2 + 0 + 1/24*u**4 + 8/105*u**7 + 1/15*u**6 - 7/60*u**5 + 0*u. Factor r(v).
v*(v + 1)*(4*v - 1)**2
Let p(c) be the first derivative of c**8/8400 + c**7/2100 + c**6/1800 + 5*c**3/3 - c + 33. Let f(z) be the third derivative of p(z). Factor f(v).
v**2*(v + 1)**2/5
Let 2/5*q**3 + 98/5*q + 52/5*q**2 + 48/5 = 0. What is q?
-24, -1
Let r(l) be the first derivative of -4*l**3/3 - 38*l**2 + 163. Determine a so that r(a) = 0.
-19, 0
Let f(t) = t**3 - 6*t**2 + 5. Let b be f(6). Suppose g - 47 = -2*g + 4*d, -b*g + 5*d + 70 = 0. Determine w so that -g*w**2 + 