e second derivative of 6 + 0*z**2 - 25/6*z**3 - 8*z + 5/12*z**4. Determine k so that n(k) = 0.
0, 5
Let k(x) be the second derivative of -x**7/273 - 2*x**6/195 + 7*x**5/26 - 46*x**4/39 + 92*x**3/39 - 32*x**2/13 - 482*x. What is w in k(w) = 0?
-8, 1, 2
Let s(c) = -3*c**3 - 7*c**2 - 5*c + 1. Let n be s(-1). Factor -65*y**n - 5*y**3 - 11*y**3 + 20*y**3 + 60 - 14*y**3 - 85*y.
-5*(y + 3)*(y + 4)*(2*y - 1)
Let l(i) be the first derivative of -2*i**3/3 - 393*i**2 - 784*i + 6075. Factor l(n).
-2*(n + 1)*(n + 392)
Suppose 5*r = 3*x + 1, 0 = 2*x + 2*r - 4 - 6. Factor 36*z + 35 + x*z**3 + 25 - 36 + 18*z**2.
3*(z + 2)**3
Let h(g) be the second derivative of 5*g + 0*g**2 + 14 + 25/3*g**4 - 21/2*g**5 + 20/3*g**3 + 23/6*g**6 - 10/21*g**7. Factor h(f).
-5*f*(f - 2)**3*(4*f + 1)
Let w(o) be the second derivative of o**6/195 + 29*o**5/130 + 119*o**4/78 - 29*o**3/39 - 120*o**2/13 + 2575*o. Find s such that w(s) = 0.
-24, -5, -1, 1
Let v = 194 - 191. Find o such that -34 - 48*o**2 + 190*o - 10*o - 9*o**v - 62 = 0.
-8, 2/3, 2
Factor -664/3*a + 652 + 4/3*a**2.
4*(a - 163)*(a - 3)/3
Let c(x) = x**4 - 2*x**3 + 2*x**2 - x - 3. Let h(p) = 2*p**4 - 114*p**3 + 824*p**2 - 1317*p + 614. Let l(m) = -3*c(m) - h(m). Factor l(w).
-5*(w - 11)**2*(w - 1)**2
Let x(f) = 11*f**2 + 45*f - 49. Let c(j) = 48 - 38*j**2 - 30*j**2 - 45*j + 59*j**2. Let h(p) = 7*c(p) + 6*x(p). Determine d, given that h(d) = 0.
1, 14
Suppose 0 = -2*r - 0*h + 5*h + 42, 4*r - 84 = 5*h. Factor r*c**2 - 6*c - 11*c**3 + 2*c**3 - 8*c**3 + 2*c**3.
-3*c*(c - 1)*(5*c - 2)
Let y(s) be the second derivative of 2*s**6/135 - 13*s**5/20 + 25*s**4/108 + 13*s**3/6 - 29*s**2/18 - 1112*s. Solve y(r) = 0 for r.
-1, 1/4, 1, 29
Suppose m = -15, 73*g - 77*g = 3*m + 33. Let 7/2*u - 7/2*u**g - 1/2*u**4 + 1/2*u**2 + 0 = 0. What is u?
-7, -1, 0, 1
Let y(z) be the second derivative of 5*z**4/12 - 5150*z**3/3 + 2652250*z**2 - 4897*z. Solve y(u) = 0 for u.
1030
Suppose 0 = 4*w + 2*j + 324, 5*w - 8*j + 4*j = -418. Let k = w + 98. Let -302 + 707 - 106*z + 5*z**2 + k*z = 0. Calculate z.
9
Let z(r) be the third derivative of 5*r**8/336 + 11*r**7/42 + 31*r**6/24 + 7*r**5/4 - 1681*r**2. Factor z(d).
5*d**2*(d + 1)*(d + 3)*(d + 7)
Let y(i) = -2*i**2 - 27*i - 70. Let t be (-2)/(-4)*(37 + -57) + 0. Let c be y(t). Factor 6*l - 45/2*l**3 + 18*l**2 + 6*l**4 + c.
3*l*(l - 2)**2*(4*l + 1)/2
Let j(v) be the second derivative of -v**7/1800 + v**6/400 - v**5/300 + v**4/4 - 17*v. Let n(h) be the third derivative of j(h). Factor n(q).
-(q - 1)*(7*q - 2)/5
Let x(j) = -j**5. Let o(w) = -10*w**5 + 56*w**4 - 292*w**3 + 672*w**2 - 576*w. Let z = -177 - -171. Let y(g) = z*x(g) + o(g). Find r such that y(r) = 0.
0, 3, 4
Let u(a) be the first derivative of -5*a**3/3 + 30*a**2 - 175*a - 1829. Factor u(b).
-5*(b - 7)*(b - 5)
Let b(a) be the first derivative of -2*a**3/3 + 17*a**2/2 - 6*a + 88. Let h(i) = -3*i**2 + 18*i - 4. Let r(p) = 2*b(p) - 3*h(p). Find n such that r(n) = 0.
0, 4
Let j(l) be the third derivative of -l**5/180 + 559*l**4/36 + 373*l**3/6 + 103*l**2. Let j(w) = 0. Calculate w.
-1, 1119
Suppose -68*b + 425 = -527. Suppose -22*q = -b*q. Factor 3*o**3 + 3/2*o**4 + 0*o**2 - 3/2*o**5 + q*o + 0.
-3*o**3*(o - 2)*(o + 1)/2
Let x = -2/30893 + 154471/92679. Let l(s) be the first derivative of 0*s**2 + x*s**3 - 5*s - 30. Factor l(b).
5*(b - 1)*(b + 1)
Let d(p) = -7 - 6*p**2 + 11*p - 41 + 0*p**2 + 33*p. Let b(w) = -2*w**2 + 22*w - 24. Let o(k) = 10*b(k) - 4*d(k). What is t in o(t) = 0?
-12, 1
Suppose 12*u + 3*d = 30, -703*u + 700*u = -5*d - 19. Find t, given that 15/4*t**u + 185/4*t + 25/2 + 55/2*t**2 = 0.
-5, -2, -1/3
Determine s, given that 82804*s**2 - 641 + 646 - 1830*s + 169280*s**4 + 12200*s**2 + 336720*s**3 + 70601*s**2 = 0.
-1, 1/184
Let m(r) be the second derivative of r**6/105 + 43*r**5/70 + 29*r**4/2 + 511*r**3/3 + 1078*r**2 + 670*r. Solve m(d) = 0.
-22, -7
Let g(a) be the first derivative of 5*a**3/3 + 85*a**2 + 945*a + 991. What is l in g(l) = 0?
-27, -7
Let o be (0/1 + 30533)*(-85)/(-85). Let -30533*h - 4*h**4 + o*h - 8*h**3 = 0. What is h?
-2, 0
Let f(d) be the first derivative of -d**4 + 68*d**3/3 - 40*d**2 - 1664*d - 9657. Factor f(c).
-4*(c - 13)*(c - 8)*(c + 4)
Let z(a) be the third derivative of -25*a**8/672 - a**7/4 - a**6/2 - a**5/6 - 512*a**2 + a + 1. Solve z(t) = 0.
-2, -1/5, 0
Factor 114*f**4 + 892*f**3 + 3064*f**2 + 806 + 4*f**5 + 2820*f + 18*f**4 + 380*f**3 + 94.
4*(f + 1)**3*(f + 15)**2
Let 345/2*r**2 - 1/4*r**3 + 0 + 691/4*r = 0. What is r?
-1, 0, 691
Let m(l) = -74*l**2 + 5847*l - 77. Let j be m(79). Factor 1/4*u**4 + 0 - 1/4*u**j - u**3 + u.
u*(u - 4)*(u - 1)*(u + 1)/4
Let o(z) be the third derivative of 1/420*z**6 - 1/84*z**4 + 56*z**2 + 1/21*z**3 + 0*z + 0 - 1/210*z**5. Factor o(u).
2*(u - 1)**2*(u + 1)/7
Let q(j) be the second derivative of -j**9/15120 + j**7/2520 - 7*j**4/4 + 2*j. Let z(c) be the third derivative of q(c). Let z(i) = 0. Calculate i.
-1, 0, 1
Let l(g) be the second derivative of 7*g**5/4 - 1115*g**4/6 - 2630*g**3/3 - 660*g**2 - 13*g - 42. Factor l(u).
5*(u - 66)*(u + 2)*(7*u + 2)
Let x(g) be the third derivative of -g**6/40 - 79*g**5/20 + 41*g**4/4 + 80*g**3 + 22*g**2 + 39. Let x(k) = 0. Calculate k.
-80, -1, 2
Let i(d) = 17*d**2 - 20*d + 13. Let n(u) = 18*u**2 - 20*u + 14. Let a(v) = -6*i(v) + 5*n(v). Find s, given that a(s) = 0.
2/3, 1
Let m(a) be the first derivative of 25*a**6/6 - 33*a**5 + 115*a**4/2 + 220*a**3/3 - 180*a**2 - 160*a + 1041. Find x, given that m(x) = 0.
-1, -2/5, 2, 4
Let u(k) = -6*k. Let w(c) = c**4 + 414*c**3 + 57132*c**2 + 2628024*c. Let p(r) = 40*u(r) - 5*w(r). Find h such that p(h) = 0.
-138, 0
Suppose -30/7*r**4 + 0 + 6*r**3 - 18/7*r**2 + 6/7*r**5 + 0*r = 0. What is r?
0, 1, 3
Find t, given that -71*t**3 + 4276 - 3375*t + 66*t**3 + 717 - 265*t**2 - 1348 = 0.
-27, 1
Let m(x) = -2*x**2 - 28*x + 1. Let o be m(-13). Determine q so that -31*q + q**4 + o*q**2 + 12 - 12 + 7 + 0*q**3 + 5 - 9*q**3 = 0.
1, 3, 4
Let o be -3*1*-3 - (-115)/(-23). Suppose -o*a**2 - 3675 + a**2 + 20777*a - 20987*a = 0. Calculate a.
-35
Let f(g) = 16*g**3 + 4*g**4 + g**2 + 4*g + 5 + 7*g**3 - 6*g**3 + 11*g**2. Let v(o) = -o**3 - 1. Let x(t) = f(t) + 5*v(t). Factor x(i).
4*i*(i + 1)**3
Let v(n) = -552*n**3 + 17067*n**2 + 13965*n + 2772. Let r(m) = -79*m**3 + 2439*m**2 + 1996*m + 396. Let i(h) = 27*r(h) - 4*v(h). Find y, given that i(y) = 0.
-2/5, 33
Let k be 4 - (-7)/(28/(-20)). Let a be k/8 + (-68)/(-32). Determine v, given that -4*v**a + 2*v**2 + 6 - 21*v + 0*v**2 + 25*v = 0.
-1, 3
Let t = -1304160 - -6520874/5. What is d in -t*d + 2/5 + 722/5*d**3 + 646/5*d**2 = 0?
-1, 1/19
Let -z**3 + 3*z + 1/2*z**4 + 0 - 5/2*z**2 = 0. Calculate z.
-2, 0, 1, 3
Factor -1155/2*z + 575*z**2 + 0 + 5/2*z**3.
5*z*(z - 1)*(z + 231)/2
Let x(n) be the third derivative of 1/225*n**5 + 0 + 1/45*n**4 + 8/3*n**3 + 14*n**2 + 1/2700*n**6 + 0*n. Let o(b) be the first derivative of x(b). Factor o(l).
2*(l + 2)**2/15
Let k(v) be the first derivative of -v**5/20 + 13*v**4/12 - 2*v**3 - 187*v + 286. Let h(t) be the first derivative of k(t). Factor h(f).
-f*(f - 12)*(f - 1)
Suppose -a - 386*i = -383*i - 22, 0 = -5*a + 4*i + 129. Let n(r) be the first derivative of -a*r - 22 - 55/2*r**2 - 5/4*r**4 - 35/3*r**3. Factor n(c).
-5*(c + 1)**2*(c + 5)
Let r(w) = 3*w**2 + 18*w + 4. Let u(k) = 6*k + 30. Let c be u(-6). Let j be r(c). Determine v, given that -3*v**5 + 11*v**4 - v**4 - 8*v**2 + v**5 - 4*v**j = 0.
-1, 0, 2
Let d(p) be the second derivative of -p**7/168 + 7*p**6/60 - 33*p**5/80 - 5*p**4/3 + 25*p**3/6 - 5024*p. Let d(i) = 0. What is i?
-2, 0, 1, 5, 10
Suppose 14*f = 22 + 34. Suppose -20*c**f + 66 - 66 - 28*c**3 - 12*c**2 + 17*c**5 - 21*c**5 = 0. Calculate c.
-3, -1, 0
Let r = -24 - -28. Suppose r*y + 4*v = 36, -y + 5*v + 29 = 2*v. Factor -2*f**2 - y*f**3 + 24*f - 2*f**2 + 10*f**3.
-4*f*(f - 2)*(f + 3)
Let j(l) be the first derivative of -2*l**6/3 + 72*l**5 + 192*l**4 - 2944*l**3/3 - 6024. Solve j(x) = 0 for x.
-4, 0, 2, 92
Let h = -136 + 138. Let 3*z**3 - z**3 + 12*z**4 - z**2 - 13*z**4 + 0*z**h = 0. What is z?
0, 1
Suppose -5*v - 4 = -19. Factor 45*p**v + 365*p**2 - 551*p**2 + 20 + 80*p + 291*p**2.
5*(p + 1)*(3*p + 2)**2
Suppose 5*r - 3*k = 85, 4*r + 4 = 5*r + 2*k. Let c = 16 - r. Suppose 5*x**2 - 12*x + x**c - 2*x**2 = 0. Calculate x.
0, 3
Let