e the second derivative of -j**4/6 - 974*j**3/3 - 237169*j**2 - 1271*j. Suppose v(p) = 0. Calculate p.
-487
Factor 0*q + 2/3*q**5 + 0 + 62*q**4 + 1472*q**3 + 4232/3*q**2.
2*q**2*(q + 1)*(q + 46)**2/3
Let u(h) be the first derivative of 5*h**4/4 - 120*h**3 + 6105*h**2/2 + 13690*h + 63. Factor u(w).
5*(w - 37)**2*(w + 2)
Let g = 3307/310700 + -2/3107. Let k(m) be the third derivative of 0 + 0*m + 1/20*m**4 - g*m**5 - 1/200*m**6 + 11*m**2 + 0*m**3. Let k(w) = 0. Calculate w.
-2, 0, 1
Let j(h) = -6*h + 68 + 299*h**2 - h**3 - 12*h - 285*h**2. Let a be j(13). Factor -3/4*v**2 + a*v + 15/4.
-3*(v - 5)*(v + 1)/4
Find x, given that 1493 + 71*x - 1789 + 11*x + 361*x**2 - 731*x**2 + 368*x**2 = 0.
4, 37
Let x(j) be the third derivative of -3*j**7/14 + 11*j**6/12 + j**5/12 - 55*j**4/12 + 20*j**3/3 - 18*j**2 - 38. Solve x(i) = 0.
-1, 4/9, 1, 2
Let b(d) = -8*d**2 - 510*d. Let a(n) = n**2. Let t(r) = -13*a(r) - b(r). Factor t(w).
-5*w*(w - 102)
Let u = 208 + -215. Let t be 4 + (-5)/(u + 2). Solve -3/4*r**t + 0 - r**2 - 7/4*r**3 + r + 5/2*r**4 = 0.
-2/3, 0, 1, 2
Factor 122 + 63/2*u + 1/4*u**2.
(u + 4)*(u + 122)/4
Determine g so that -23712 - 7*g**2 + 23712 + 3*g**2 + g**2 + 141*g = 0.
0, 47
Let l(b) be the first derivative of -b**3/3 + 4*b**2 - 15*b + 779. Let l(n) = 0. Calculate n.
3, 5
Suppose -4*w + 12 = -w. Let n be (0*4/(-16))/1 + 3. Factor 16*u**3 - 4*u**w + 18*u**2 - 31*u**2 - n*u**2.
-4*u**2*(u - 2)**2
Let i = -628 - -630. Suppose 7*j**2 + 12*j**2 - 2*j + 8*j**i - 28*j**2 = 0. Calculate j.
-2, 0
Suppose 12*y - 29 - 15 + 20 = 0. Let b(v) be the second derivative of v**3 + y*v**2 + 1/6*v**4 - 15*v + 0. Factor b(j).
2*(j + 1)*(j + 2)
Let d(l) be the third derivative of -l**6/72 - l**5/24 + 5*l**4/12 + 6*l**3 + 38*l**2. Let v(p) be the first derivative of d(p). Solve v(c) = 0.
-2, 1
Factor 6279135*v - 1063176313 - 9392*v**2 + 5*v**3 + 357416525 - 313*v**2 + 204802298 - 853242625.
5*(v - 647)**3
Let i = 18 - 13. Let q(g) = 163 + g**2 + 157 + 6*g - 310 + 2*g. Let j(k) = 2*k**2 + 16*k + 19. Let l(r) = i*q(r) - 3*j(r). Factor l(n).
-(n + 1)*(n + 7)
Let i be 1875/20 - (-2)/8. Suppose 175*r**2 - 5*r**3 + 5000 + i*r**2 - 119*r**2 - 1500*r = 0. What is r?
10
Factor -113*u - 52 + 102*u - 218 + 5*u**2 - 64*u.
5*(u - 18)*(u + 3)
Let t(j) be the second derivative of -10/9*j**3 - 1/36*j**4 - 50/3*j**2 + 51*j + 0. Solve t(p) = 0 for p.
-10
Let f(l) be the first derivative of -l**5/20 - 33*l**4/16 - 5*l**3/2 + 8*l**2 + 1067. Factor f(o).
-o*(o - 1)*(o + 2)*(o + 32)/4
Find r, given that r**5 + 103*r**4 + 240*r**2 - 61*r**4 - 2*r**5 - 72*r**3 + 355*r**3 = 0.
-5, -1, 0, 48
Let l(r) be the first derivative of 7*r**4 + 988*r**3/3 + 140*r**2 - 1462. Factor l(v).
4*v*(v + 35)*(7*v + 2)
Let j = -29 + 43. Let r = j - 12. Factor -f**r + 8 + f - 9 + 1.
-f*(f - 1)
Let g(t) be the first derivative of t**9/6048 + t**8/3360 - t**7/1680 - t**6/720 + 113*t**3/3 + 55. Let v(x) be the third derivative of g(x). Factor v(r).
r**2*(r - 1)*(r + 1)**2/2
Let u(d) be the third derivative of 1/360*d**6 + 0 - 143*d**2 + 0*d - 1/36*d**5 - 8/9*d**3 - 11/36*d**4. Determine s, given that u(s) = 0.
-2, -1, 8
Let m = -344 - -356. Factor -w**4 + 36*w**3 + 96*w**2 + 8*w**2 - 2*w**4 + 96*w + m*w**4 - 5*w**4.
4*w*(w + 2)*(w + 3)*(w + 4)
Let z(u) be the first derivative of u**3/18 + 6*u**2 + 216*u + 865. Factor z(w).
(w + 36)**2/6
Let r = -407 - 47. Let h = -454 - r. Factor -1/2*m**2 + h - 3/2*m.
-m*(m + 3)/2
Let a(i) = -i**3 + 10*i**2 - 7*i - 16. Suppose -100 = -8*r - 28. Let g be a(r). Factor 27*o**2 - 2*o**3 - 8*o**2 - 2*o - 7*o**2 - 8*o**g.
-2*o*(o - 1)**2
Let i(u) be the third derivative of -3*u**6/160 + 19*u**5/80 - u**4/4 - 10*u**3 + 56*u**2 + 8*u. Factor i(q).
-3*(q - 4)**2*(3*q + 5)/4
Let z be ((-38)/9 + 7)*(14/35)/(18/27). Determine r so that -5 + 20/3*r - z*r**2 = 0.
1, 3
Find r, given that 36*r - 15 - 20*r - 12*r**2 - 67 - 50 + 13*r**2 = 0.
-22, 6
Let q = 70299/4 + -17574. Let f(k) be the second derivative of q*k**4 + k**2 - 1/4*k**5 + 3 - 3*k + 1/30*k**6 - 7/6*k**3. Find o such that f(o) = 0.
1, 2
Let j(k) be the third derivative of 2*k**7/105 - k**6/30 - 2*k**5/15 - 560*k**2. Let j(i) = 0. What is i?
-1, 0, 2
Let d = 12 - 10. Suppose -1272 + 24*o**2 + 150*o - 56*o**2 + 27*o**d + 147 = 0. What is o?
15
Factor 10 - 56 - 32 + 4*l**3 - 42 + 871*l - 54 - 701*l**2.
(l - 174)*(l - 1)*(4*l - 1)
Let d(f) be the first derivative of 6*f - 1/3*f**4 + 2 + 6*f**2 - 4/3*f**3. Let o(m) be the first derivative of d(m). Factor o(i).
-4*(i - 1)*(i + 3)
Suppose -f - 7*f = -16. Let m be -23 + 24 + (-2)/f. Solve 2/7*w**3 + m - 2/7*w**2 + 0*w = 0 for w.
0, 1
Let y(m) be the third derivative of m**6/200 + 107*m**5/50 + 320*m**4 + 14000*m**3 + 1629*m**2 - 2*m + 1. Suppose y(d) = 0. What is d?
-100, -14
Let x(q) be the first derivative of 48*q + 98/5*q**5 - 67 - 273/2*q**4 + 292*q**3 - 188*q**2. Solve x(z) = 0 for z.
2/7, 2, 3
Let o = 6/11 - 20/77. Let x be (1 + (-52)/20)*500/(-1400). Suppose o*f**2 + 0 + x*f = 0. Calculate f.
-2, 0
Let f(x) = -3*x**2 + 38*x - 621. Let l(s) = -16*s**2 + 170*s - 3105. Let w(b) = 22*f(b) - 4*l(b). Factor w(o).
-2*(o - 69)*(o - 9)
Let k(w) = -341*w**2 + 3753*w - 22. Let o be k(11). Let t(h) be the first derivative of -2/21*h**3 + 2/7*h**2 + o*h + 37. Factor t(n).
-2*n*(n - 2)/7
Let l = -214 + 216. Factor 93*g + 0*g**3 + 403*g**l - 107*g**2 - 206*g**2 - 3*g**3.
-3*g*(g - 31)*(g + 1)
Factor -3*n - 7*n**2 + 14*n**4 + 3*n - 11*n**2 - 12*n**3 + 16*n**2.
2*n**2*(n - 1)*(7*n + 1)
Let r(f) be the third derivative of 885735/8*f**4 - 9/14*f**7 - 75*f**2 + 243/4*f**6 - 4782969/2*f**3 + 0*f - 6561/2*f**5 + 0 + 1/336*f**8. Factor r(i).
(i - 27)**5
Let u(o) be the second derivative of -3/10*o**5 - 51*o - 3*o**2 + 1/84*o**7 - 19/12*o**4 - 37/12*o**3 - 2 + 1/30*o**6. Factor u(a).
(a - 4)*(a + 1)**3*(a + 3)/2
Suppose -3*p**3 + 29 + 38 + 39 - 154 + 12*p**2 + 3*p + 36 = 0. Calculate p.
-1, 1, 4
Suppose -2 = -69*u + 68*u. Solve 623 - 3*d**3 - 335 - d**u - 192*d + 43*d**2 = 0.
4, 6
Let o(z) = -13*z**3 - 37*z**2 + 240*z + 536. Let s(r) = 80*r**3 + 225*r**2 - 1440*r - 3215. Let m(a) = -25*o(a) - 4*s(a). Factor m(b).
5*(b - 6)*(b + 2)*(b + 9)
Suppose 0 = -18*v - 7772 + 26546. Factor 5*j**2 + v*j - 2*j**2 - 1130*j.
3*j*(j - 29)
Let v(a) be the first derivative of -a**5/170 - a**4/17 - 3*a**3/17 - 4*a**2/17 + 117*a + 298. Let s(q) be the first derivative of v(q). Factor s(u).
-2*(u + 1)**2*(u + 4)/17
Solve 307*k - 61*k + 360531*k**3 + 496 - 249*k**2 - 360530*k**3 = 0 for k.
-1, 2, 248
Factor 36/5*j - 1 - 7/5*j**2.
-(j - 5)*(7*j - 1)/5
Let f(j) = -348*j - 2432. Let a be f(-7). Find n such that 68/3*n - 4/3*n**a - 8 + 9*n**3 - 22*n**2 = 0.
3/4, 2
Let a(l) be the second derivative of -l**4/36 + 544*l**3/3 - 443904*l**2 - 7*l - 195. Factor a(y).
-(y - 1632)**2/3
Let p = 1962289/6 + -327048. Let 23/6*x**2 + 50 - p*x**3 - 80/3*x = 0. What is x?
3, 10
Let f = 13 + -8. Suppose f*x - 9 = 1. Factor -x*z**4 - 3*z + 17*z**2 - z**4 - 14*z**2 + 3*z**3.
-3*z*(z - 1)**2*(z + 1)
Let t(x) be the second derivative of x**4/12 - 1721*x**3/30 + 172*x**2/5 - 10*x + 5. Factor t(s).
(s - 344)*(5*s - 1)/5
Let t(b) be the third derivative of -1/630*b**7 + 0*b**3 + 78*b**2 - 1/9*b**5 + 0*b**4 - 1/40*b**6 - 2 + 0*b. Factor t(x).
-x**2*(x + 4)*(x + 5)/3
Suppose 97 = 2*r + 75. Factor -4*a**3 - 3*a - 15*a**2 + 6 - 2 + r + 8*a - a**3.
-5*(a - 1)*(a + 1)*(a + 3)
Let f be (947 - 951)*(-1)/1. Determine a, given that 10/3*a**2 + 4/3*a + 7/6*a**f + 0 + 3*a**3 + 1/6*a**5 = 0.
-2, -1, 0
Factor -6*o**2 - 447 - 179 + 136 + 10*o**2 + 105*o - 9*o**2.
-5*(o - 14)*(o - 7)
Let -588 + 9/2*y**3 + 195/2*y**2 - 819*y = 0. Calculate y.
-28, -2/3, 7
Factor -306*r - 35*r**2 - 17*r**2 - 29*r + 174 - 5*r - 6.
-4*(r + 7)*(13*r - 6)
Let h(y) be the third derivative of y**5/60 + 1075*y**4/12 + 1155625*y**3/6 - 5742*y**2. Determine p, given that h(p) = 0.
-1075
Let w(l) = -2746*l**4 - 9996*l**3 - 5670*l**2 - 1159*l - 83. Let y(p) = p**4 - p + 1. Let o(h) = -3*w(h) - 6*y(h). Let o(k) = 0. Calculate k.
-3, -3/14
Let g(r) be the second derivative of -r**4/48 - 41*r**3/24 - 105*r**2/4 + 2429*r. What is h in g(h) = 0?
-35, -6
Let q be (-4812)/(-960) - (8 - (-1 - -4)). Let z(j) be the third derivative of 0*j - j**2 + q*j**5 - 1/6*j**3 + 0*j**4 + 0 - 1/480*j**6. What is u in z