00 + 9*h**4/20 - 81*h**3/10 - h**2/2 - 14*h + 7. Let f(w) be the second derivative of v(w). Factor f(x).
-3*(x - 9)**2/5
Let q be ((-108)/80)/3*190/(-114). Let c(z) be the first derivative of -q*z**3 - 18 + 3/2*z**2 + 3/20*z**5 - 3/8*z**4 + 3*z. Solve c(l) = 0 for l.
-1, 2
Let f(p) = p**3 + 10*p**2 + 7*p - 17. Let q be f(-7). Find v such that 27*v**4 + 40*v**3 + 0*v**5 + 133*v - 103*v + 35*v**3 + q*v**2 + 3*v**5 = 0.
-5, -2, -1, 0
Factor 3709*t**3 - 93*t - 3697*t**3 + 41*t**2 - 48 + 18 + 70*t**2.
3*(t - 1)*(t + 10)*(4*t + 1)
Let r be (0/6)/(66 + -59). Let -6/7*s**2 + 0 + r*s**3 - 4/7*s + 2/7*s**4 = 0. Calculate s.
-1, 0, 2
Let y = -198 - -200. Factor f**5 + 3*f**y - 10*f**3 + f**4 - 4*f**5 + 4*f**5 + 5*f**3.
f**2*(f - 1)**2*(f + 3)
Suppose 0 = -4*t + 20. Suppose 4*a - 4 = 3*a, a = -3*i + 16. Factor -6*o - 4*o + t*o**2 + i - 3*o - o**3 + 5*o.
-(o - 2)**2*(o - 1)
Let h = -5608 + 5608. Factor h + 0*s - 2/9*s**2 + 2/9*s**4 - 2/9*s**3 + 2/9*s**5.
2*s**2*(s - 1)*(s + 1)**2/9
Let d = 1747 - 1742. Let h(k) be the third derivative of -5*k**2 + 1/90*k**d + 0*k + 0*k**3 + 0 + 1/12*k**4. Determine q, given that h(q) = 0.
-3, 0
Find f such that -101/3*f**2 + 47/3*f**3 - 49*f + 1/3*f**4 + 0 = 0.
-49, -1, 0, 3
Let h be (0 - (10 + (-12)/3))*((-539)/21 - -25). Factor 0*p**h + 0 + 9/4*p**3 + 0*p - 3/4*p**5 + 3/2*p**2.
-3*p**2*(p - 2)*(p + 1)**2/4
Let y(x) be the second derivative of -13/3*x**4 + 128/3*x**2 - 59 - 3/5*x**5 - 32/9*x**3 - x. Factor y(d).
-4*(d - 1)*(3*d + 8)**2/3
Let z(u) = 2*u**2 - 23*u + 63. Let c be z(4). What is d in -16*d + 12 - 1/4*d**4 + 6*d**2 + 0*d**c = 0?
-6, 2
Let h be (-103271)/(-49210)*2 - 5. Let q = -2/703 - h. Factor 2*g + 2/5*g**3 - q - 8/5*g**2.
2*(g - 2)*(g - 1)**2/5
Let l = 591 - 566. Let p(i) = 3*i**2 - 79*i + 100. Let t be p(l). What is y in -2/3*y**2 - 4/3*y**3 + 0 - 2/3*y**4 + t*y = 0?
-1, 0
Suppose 3*g + 5 = -h + 15, -h = -g + 10. Factor 16 - 6*t**5 - 4*t**3 + 3*t**4 - 23*t**2 + 3*t**g + 7*t**2 + 4*t**5.
(t - 2)*(t - 1)*(t + 2)**3
Let h be 758/(-26) + 78/507. Let x = 33 + h. Factor x + 5/2*k**2 + 11*k.
(k + 4)*(5*k + 2)/2
Let 2*q + 33*q**3 + 2*q**2 + 56 - 5*q**3 + 15*q**2 - 4*q**4 - 94*q - 5*q**2 = 0. Calculate q.
-2, 1, 7
Let b = 49171 - 196681/4. Factor 5/4*g**2 - 1/2 - b*g.
(g - 1)*(5*g + 2)/4
Factor 94/3*j - 2/3*j**2 + 2680/3.
-2*(j - 67)*(j + 20)/3
Let w(n) = 12*n**3 - 2627*n**2 + 873835*n - 871195. Let p(m) = 41*m**3 - 9196*m**2 + 3058423*m - 3049183. Let a(y) = -10*p(y) + 34*w(y). Solve a(d) = 0.
1, 660
Let j(i) = -117*i**3 + 405*i**2 - 20000*i. Let x(w) = 328*w**3 - 1214*w**2 + 60000*w. Let h(d) = 14*j(d) + 5*x(d). Find l such that h(l) = 0.
0, 100
Let c(o) = 81*o**2 - 3672*o + 80655. Let z(n) = -5*n**2 + 230*n - 5041. Let a(x) = 2*c(x) + 33*z(x). Find h, given that a(h) = 0.
41
Factor -10*t + 202*t**2 + 290*t - 533*t**2 - 6*t**3.
-t*(t + 56)*(6*t - 5)
Find p, given that -2/9*p**2 - 208/9 - 70/3*p = 0.
-104, -1
Let p(n) be the first derivative of 12*n**4 - 4/5*n**5 - 324*n + 216*n**2 + 76 - 72*n**3. Let p(m) = 0. What is m?
3
Factor 5031*i**2 - 17*i**4 + 11*i**4 - 6120*i - 252*i**3 + 9*i**4 + 17214*i.
3*i*(i - 43)**2*(i + 2)
Suppose -2*h + 82 + 310 = 0. Suppose h*i = 194*i. Factor 3/7*z**2 + 3/7*z + i.
3*z*(z + 1)/7
Let n(m) be the first derivative of 4*m**5 + 47/5*m**3 + 1/5*m - 11*m**4 - 11/5*m**2 - 207. Suppose n(r) = 0. Calculate r.
1/10, 1
Let o = 1257/166 - 6/83. Let b(q) be the second derivative of 10/3*q**3 - o*q**2 + 0 + 3*q - 5/12*q**4. Factor b(u).
-5*(u - 3)*(u - 1)
Suppose 4*z - 67 = -5*a, -28 = -2*a - z - z. Let g(m) = -m**3 + 10*m**2 + 11*m + 9. Let r be g(a). Suppose 9 + r + 0*k**2 - 21*k + 3*k**2 = 0. Calculate k.
1, 6
Let x(h) be the first derivative of -11*h**5/78 + 8*h**4/39 - 4*h**3/39 + 5*h**2/2 + 4*h - 15. Let c(i) be the second derivative of x(i). Factor c(v).
-2*(5*v - 2)*(11*v - 2)/13
Suppose 28*d**4 - 3*d**2 + 1935*d**3 + 2*d**5 - 2079*d**3 + 3*d**2 = 0. What is d?
-18, 0, 4
Let c(t) = t**3 + 6*t**2 + t + 12. Let h be c(-6). Find r, given that r**2 - h + 16 + 15*r + 4 = 0.
-14, -1
Let k(w) = 13*w**3 + 24*w**2 + 22 - 57*w**2 + 22*w**2 + 35*w - 61*w**2. Let h(d) = -25*d**3 + 145*d**2 - 70*d - 45. Let m(b) = 2*h(b) + 5*k(b). Factor m(q).
5*(q - 4)*(q - 1)*(3*q + 1)
Let c(f) = -20*f**4 - 53*f**3 - 7*f**2 + 44*f - 27. Let w(q) = -9*q**4 - 26*q**3 - 3*q**2 + 22*q - 12. Let d(h) = -4*c(h) + 9*w(h). Factor d(s).
-s*(s - 1)*(s + 1)*(s + 22)
Let j = -24469 + 24471. Let 2*t**2 + j + 1/3*t**3 + 11/3*t = 0. Calculate t.
-3, -2, -1
Suppose -3*g = -h + 22, 8*h + 34 = 2*g + 78. Let x(l) be the second derivative of 0*l**2 + 0 - 1/12*l**h - 1/2*l**3 + 29*l. Factor x(m).
-m*(m + 3)
Suppose 101*x - 48*x = 64*x - 66. Let a(c) be the first derivative of 2/25*c**5 - 1/15*c**x + 0*c**3 - 19 + 1/5*c**4 + 0*c**2 + 0*c. Factor a(o).
-2*o**3*(o - 2)*(o + 1)/5
Let t(u) be the first derivative of 7*u**4/12 - 53*u**3/2 + 124*u**2/3 - 11*u/2 - 7046. Factor t(i).
(i - 33)*(i - 1)*(14*i - 1)/6
Let u be (-40 + 41)/((-573)/(-570) + -1). Suppose 41*d + 26 - u = 0. Factor -2/3*o + 1/3 + 0*o**2 + 2/3*o**3 - 1/3*o**d.
-(o - 1)**3*(o + 1)/3
Let k = 3873/4 - 19357/20. Let j(y) be the second derivative of 0*y**3 - 2/21*y**7 + 0 + 0*y**4 - 5*y + k*y**6 + 0*y**2 - 9/20*y**5. Factor j(t).
-t**3*(2*t - 3)**2
Factor -438 - 36*p**3 - p**4 - 16*p**3 - 386*p**2 - 74 - 8*p**3 - p**4 + 960*p.
-2*(p - 1)**2*(p + 16)**2
Let b(n) be the first derivative of n**5/100 + n**4/10 + 3*n**3/10 - 23*n + 16. Let u(z) be the first derivative of b(z). Factor u(m).
m*(m + 3)**2/5
Let b(t) be the first derivative of -3*t**5/25 + 282*t**4/5 - 749*t**3/5 + 561*t**2/5 - 9106. Factor b(p).
-3*p*(p - 374)*(p - 1)**2/5
Let a(q) = q**2 - 34*q - 228. Let z be a(37). Let c be z/(-27) - (-4 - 1)/(-5). Factor -4/3*r**2 - c*r + 2.
-2*(r + 3)*(2*r - 1)/3
Let d(f) be the third derivative of 9*f**8/1064 + 48*f**7/665 + 13*f**6/76 - f**5/57 - 23*f**4/57 - 8*f**3/19 + 299*f**2 - 2. Find a such that d(a) = 0.
-3, -2, -2/3, -1/3, 2/3
Let z = 21 - 9. Let y be (z - 5) + 12/(-3). Factor y*v**5 + 5*v + 3*v**5 - v - 2*v**5 - 8*v**3.
4*v*(v - 1)**2*(v + 1)**2
Let n be (-12 - 68/(-6))*-18. Let z(x) be the third derivative of -x**3/6 - x**2. Let v(s) = 2*s**2 + 4*s - 4. Let o(l) = n*z(l) + v(l). Factor o(j).
2*(j - 2)*(j + 4)
Let u(c) be the first derivative of c**6/9 + 2*c**5/5 - 35*c**4/6 + 10*c**3 + 34*c**2/3 - 32*c + 5760. What is m in u(m) = 0?
-8, -1, 1, 2, 3
Let g(v) = -4*v**3 + 75*v**2 + 18*v + 22. Let n be g(19). Factor -12*y**2 - 1314*y - 81*y**n + y**5 - 18*y**4 + 1422*y + 2*y**5.
3*y*(y - 9)*(y - 1)*(y + 2)**2
Suppose -76 + 436 = 12*d. Let -70*p**2 + 35*p + 2*p**3 + 3*p**3 + d*p = 0. Calculate p.
0, 1, 13
Let d(q) = -96*q - 43. Let k be d(2). Let w = k - -1647/7. Factor 2/7*c - 4/7*c**2 + w.
-2*(c - 1)*(2*c + 1)/7
Let j = 81327017/217 + -374778. Let d = j - 14/31. Find z, given that d*z**4 + 1/7*z**5 + 0 + 2/7*z**3 + 0*z + 0*z**2 = 0.
-2, -1, 0
Let m(k) be the third derivative of k**5/30 + 11*k**4/12 - 20*k**3 + 321*k**2. Factor m(b).
2*(b - 4)*(b + 15)
Let o = 5460 - 5457. Let n(f) be the first derivative of -8*f**2 - 2/5*f**5 + f**4 + 0*f + 8/3*f**o - 22. Determine m, given that n(m) = 0.
-2, 0, 2
Let 2/3*r**3 - 55/3*r**2 + 307/3*r - 140/3 = 0. Calculate r.
1/2, 7, 20
Let w = 2121839/748220 + 7/13604. Let d = 4/11 + w. What is o in -98/5*o**3 + 28*o**2 + 104/5*o + d = 0?
-2/7, 2
What is x in 216/5*x - 4/5*x**3 + 0 - 12/5*x**2 = 0?
-9, 0, 6
Let a(s) be the second derivative of -59*s**5/30 - 33*s**4/2 - 82*s**3/3 - 8*s**2/3 + 206*s - 2. Solve a(p) = 0 for p.
-4, -1, -2/59
Let p be 6/(-7) - 1296/(-189). Let d(b) be the second derivative of -18*b - 1/126*b**4 + 0*b**2 - 1/21*b**3 + 0 + 1/315*b**p + 1/70*b**5. Factor d(f).
2*f*(f - 1)*(f + 1)*(f + 3)/21
Suppose -4*k - 2 + 26 = 4*y, -3*y = -4*k + 17. Suppose 2*o + 10 = k*j, -12*j + 8 = -8*j + 3*o. Factor -2/11 + 0*n + 2/11*n**j.
2*(n - 1)*(n + 1)/11
Let z(d) = -d**2 - 85*d + 23954. Let s be z(-203). Determine n so that -5/2*n**2 - 5/4*n**3 + 5/4*n**4 + s*n + 0 = 0.
-1, 0, 2
Suppose 0 = 4*u + 20, a - 4*u - 84 = -0*a. Suppose x - 2*x - a = -z, x - 116 = -2*z. Find y, given that 9 + 27*y**2 + 3*y**2 + 5*y**2 - z*y - 29 = 0.
-2/7, 2
Let u(p) be the second derivative of -p**4/6 - 55*p**3/3 - 156*p**2 - 1060*p. Factor u(g).
-2