).
-(k + 23)*(k + 24)
Let w(k) be the third derivative of -8/51*k**3 + 0*k + 4 + 7/510*k**5 - 7*k**2 - 13/102*k**4. Factor w(m).
2*(m - 4)*(7*m + 2)/17
Let n(g) = -12*g**4 + 528*g**3 + 56*g**2 - 1608*g + 1066. Let d(f) = -4*f**4 + 176*f**3 + 18*f**2 - 536*f + 355. Let y(t) = -10*d(t) + 3*n(t). Factor y(b).
4*(b - 44)*(b - 1)**2*(b + 2)
Let z(r) be the second derivative of -r**4/3 + 106*r**3/3 + 108*r**2 + 27*r - 6. Factor z(p).
-4*(p - 54)*(p + 1)
Let v be 2/(-3)*(6 + 0) - -6. Let y be (4 + (-3 - v))/(-3). Factor -8/9*q + q**3 - 4/9 + y*q**2.
(q - 1)*(3*q + 2)**2/9
Let v(q) be the third derivative of -q**7/210 - q**6/15 - q**5/4 + q**4/3 + 8*q**3/3 - 2*q**2 - 490*q. Suppose v(u) = 0. Calculate u.
-4, -1, 1
Let s = -2/169239 - -3892501/338478. Factor -s*f**2 + 12*f - 9/4 - 12*f**3 - 9/4*f**4.
-(f + 3)**2*(3*f - 1)**2/4
Determine n, given that -1256 + 5*n**2 - n**2 + 4324 + 3072*n + 0*n**2 = 0.
-767, -1
Let z(i) be the first derivative of i**4/5 - 268*i**3 + 655. Determine s, given that z(s) = 0.
0, 1005
Let x(s) = 3*s - 1. Let q(g) = g**2 - 130*g - 139. Let u(n) = -q(n) + 2*x(n). Factor u(k).
-(k - 137)*(k + 1)
Let z be -4*(7 + 31/(-4)). Factor 24*i - 41 - z*i**2 + 99 - 31.
-3*(i - 9)*(i + 1)
Let f(i) = 68*i - 191. Let b(c) = c**2 + c + 1. Let q(o) = b(o) - f(o). Let q(h) = 0. Calculate h.
3, 64
Factor 74/3*v + 1369/3 + 1/3*v**2.
(v + 37)**2/3
Suppose 0 = 3*x - 9, 2*z - x - 10 + 3 = 0. Suppose -v + 5*p = -5, -z*v - 2*p = 2*p + 4. Factor 0 + 15/4*m**2 + 3/4*m**4 + v*m - 9/2*m**3.
3*m**2*(m - 5)*(m - 1)/4
Factor -2410 + 492*c + 1284*c**2 + 1257*c**2 - 2543*c**2.
-2*(c - 241)*(c - 5)
Suppose 769*p = -85 + 2392. Factor 0 - p*s**2 + 3/2*s**3 + 0*s.
3*s**2*(s - 2)/2
Let u(f) be the second derivative of f**6/1620 + 13*f**5/54 + 4225*f**4/108 - 11*f**3/2 + 2*f - 2. Let t(z) be the second derivative of u(z). Factor t(a).
2*(a + 65)**2/9
Let q be 8576/804*9/156. Find z, given that -6/13 - 22/13*z + q*z**2 = 0.
-1/4, 3
Let z be (11/(-1))/((10/(-3))/10). Solve -z*g**2 + 4*g**3 + 37*g**2 - g**4 - g**4 + 8*g**3 - 12*g - 2*g**4 = 0 for g.
-1, 0, 1, 3
Suppose -2*n = n + 4*x + 1, 2*x + 13 = n. Suppose -j = -w - 3, -j + 3 = -0*j + 3*w. Factor -2*a**2 - a**j + n*a**4 + 5*a**4 - 9*a**4.
a**2*(a - 2)*(a + 1)
Let g = -5402/3 + 27109/15. Factor g - 14/5*p + 1/5*p**2.
(p - 11)*(p - 3)/5
Let x(c) be the second derivative of -c**4/4 + 23*c**3 - 132*c**2 - 76*c + 4. Let x(u) = 0. Calculate u.
2, 44
Let z(j) be the third derivative of 0*j**3 + 0*j - 1/165*j**5 - 1/660*j**6 + 5*j**2 - 28 - 1/132*j**4. Let z(p) = 0. What is p?
-1, 0
Let h(k) be the first derivative of k**5/5 + k**4/4 - 2*k**3/3 - 139. Factor h(w).
w**2*(w - 1)*(w + 2)
Factor -2/3*q**2 - 658/3*q + 220.
-2*(q - 1)*(q + 330)/3
Let 154*t + 1486 + t - 1460 - 6*t**2 = 0. Calculate t.
-1/6, 26
Suppose 0 = -40*q - 21*q - 1464. Let i be -6 - q/(-30)*-10. Factor 2/3*h + h**i + 0 + 1/3*h**3.
h*(h + 1)*(h + 2)/3
Let l = -58 + 176/3. Let o be ((-96)/90)/((-1120)/350). Let l*a**2 - 2/3 + o*a - 1/3*a**3 = 0. What is a?
-1, 1, 2
Let v(g) be the second derivative of g**5/15 - 77*g**4/9 - 476*g**3/9 - 320*g**2/3 - 1492*g. Find p, given that v(p) = 0.
-2, -1, 80
Suppose -254*v = -176*v. Find j such that 3/4*j**5 + 0*j**3 + v - 3/2*j**4 + 0*j + 0*j**2 = 0.
0, 2
Let c(s) be the second derivative of -s**6/120 + 17*s**4/24 - 4*s**3 + 63*s**2/8 + 626*s - 2. Find p, given that c(p) = 0.
-7, 1, 3
Let y(j) = j**3 + 2*j**2 - 3*j + 4. Let v(r) = -r**3 - 2*r**2 + 2*r - 4. Suppose -3*k + 6*k = 105. Let l = k + -39. Let n(s) = l*v(s) - 5*y(s). Factor n(f).
-(f - 1)**2*(f + 4)
Let b(f) be the third derivative of -3*f**8/112 + f**7/28 + 181*f**6/80 + 243*f**5/20 + 103*f**4/4 + 14*f**3 + 870*f**2. Solve b(n) = 0.
-2, -1/6, 7
Let b(k) be the first derivative of k**8/28 - 3*k**7/70 - k**6/40 + 33*k**2/2 - 14. Let d(l) be the second derivative of b(l). Find t, given that d(t) = 0.
-1/4, 0, 1
Let l(g) = 6*g - 14. Let u be (-8)/4 + 2 - (0 - 4). Let z be l(u). Find x such that -5*x - z*x + 5*x**3 - 371*x**2 + 381*x**2 = 0.
-3, 0, 1
Let p(o) = -o**2 - 16*o - 11. Let w be p(-15). Factor 6*d + 5*d**w - 2*d**5 - 4*d**2 - 593*d**3 + 589*d**3 - d**4 + 2*d**4 - 2.
-2*(d - 1)**4*(d + 1)
Suppose -39240*g**5 + 7*g**2 + 20*g**3 - 3*g**2 + 39247*g**5 + 23*g**4 = 0. Calculate g.
-2, -1, -2/7, 0
Let p = 12810 - 128097/10. Let a(b) be the third derivative of -2/15*b**7 + 1/3*b**5 + p*b**6 - 3/2*b**4 + 31*b**2 + 4/3*b**3 + 0*b + 0. Solve a(i) = 0 for i.
-1, 2/7, 1
Let v(m) be the second derivative of -m**4/18 + 94*m**3/9 - 31*m**2 - 1076*m. Factor v(c).
-2*(c - 93)*(c - 1)/3
Find q, given that 115/8 + 1/8*q**3 - 97/8*q - 19/8*q**2 = 0.
-5, 1, 23
Let v(s) be the first derivative of 23/5*s**2 - 1/15*s**6 - 64/15*s**3 + 9/5*s**4 - 4/25*s**5 + 63 - 12/5*s. Let v(r) = 0. What is r?
-6, 1
Let b(r) be the first derivative of 18/7*r + 1/7*r**3 - 51 + 15/14*r**2. What is z in b(z) = 0?
-3, -2
Let n(s) be the first derivative of -s**3/6 - 17*s**2/4 - 26*s + 567. Find q such that n(q) = 0.
-13, -4
Let s be 4/42*(3 - (279/60 - 2)). Let t(v) be the second derivative of -5/3*v**3 + 0 - 7/18*v**4 - s*v**5 - 3*v**2 + 22*v. Factor t(g).
-2*(g + 1)*(g + 3)**2/3
Suppose -10 = -4*t + 5*l + 18, 3*l = -3*t - 6. Determine i so that -327*i + 36*i**2 + 52*i**3 + 15*i**4 - 54 + 3*i**4 + 273*i + t*i**5 = 0.
-3, -1, 1
Let y(b) = -25*b**2 + 10*b**2 + 4*b + 12 + 13*b**2 + 13*b. Let k(w) = w + w**2 - 5*w - 6 - 7*w + 3*w. Let h(q) = 14*k(q) + 6*y(q). Factor h(o).
2*(o - 6)*(o + 1)
Let g(o) be the second derivative of -o**4/108 - 5*o**3/6 + 8*o**2 + 13552*o. Factor g(a).
-(a - 3)*(a + 48)/9
Let b(j) = -j - 9. Let i be b(-6). Let m = 3 + i. Factor 8 + 2*v**2 + 11*v - 19*v + m*v.
2*(v - 2)**2
Let y(g) be the first derivative of g**6/840 + 53*g**5/140 + 2809*g**4/56 + 68*g**3 + 120. Let f(b) be the third derivative of y(b). Factor f(s).
3*(s + 53)**2/7
Factor -1534/3 + 1540/9*b - 2/9*b**2.
-2*(b - 767)*(b - 3)/9
Let s = -1915566 - -1915568. Let -p**s + 9/2 - 17/2*p = 0. Calculate p.
-9, 1/2
Let h(p) be the first derivative of 2*p**3/3 - p**2 - p - 13. Let z be h(2). Factor -20*a + 4*a - 6*a**3 - 5 - 8*a**2 - z + 30*a**2.
-2*(a - 2)**2*(3*a + 1)
Let f(w) be the third derivative of w**8/2016 - 3*w**7/14 + 24299*w**6/720 - 8097*w**5/4 - 675*w**4/4 + 20250*w**3 + 56*w**2 + 11. Determine q so that f(q) = 0.
-1, 1, 90
Factor -2/3*f**3 + 352/3*f + 350/3*f**2 + 0.
-2*f*(f - 176)*(f + 1)/3
Let l be 94/10 - 3600/1500. Let n(g) be the second derivative of 0 + 2/21*g**3 - 1/84*g**4 - 2/7*g**2 - l*g. What is j in n(j) = 0?
2
Let h = 2/8447 - -16888/25341. Let c(s) be the first derivative of 0*s**5 + 0*s**2 + h*s**6 + 23 + 0*s**3 + 0*s - s**4. Factor c(d).
4*d**3*(d - 1)*(d + 1)
Let v(w) = 525*w + 18379. Let i be v(-35). Factor 4/3*u - 1/3*u**3 - 1/3*u**i - 8/3 + 2*u**2.
-(u - 2)*(u - 1)*(u + 2)**2/3
Let r(n) be the second derivative of 3*n**5/140 + 857*n**4/28 + 428*n**3/7 + 6226*n. Suppose r(o) = 0. What is o?
-856, -1, 0
Let r(k) be the second derivative of k**6/30 + k**5/4 - 11*k**4/4 + 9*k**3/2 + 1410*k. Determine w, given that r(w) = 0.
-9, 0, 1, 3
Suppose 2*q - 16 + 22 = -2 + 14. Factor -4/5*u**q + 2/5 + 4/5*u - 2/5*u**4 + 0*u**2.
-2*(u - 1)*(u + 1)**3/5
Let j(u) = -u**3 - 5*u**2 - 7*u - 8. Let x be j(-4). Determine h so that 395*h**3 + 4*h**2 - 6*h**5 + 400*h**3 - 809*h**3 + 3*h**x + 13*h**4 = 0.
0, 2/3, 1
Let b(l) be the third derivative of l**6/30 - 56*l**5/15 + 155*l**4/6 + 424*l**3/3 - 6532*l**2. Factor b(q).
4*(q - 53)*(q - 4)*(q + 1)
Let d = -8516 + 127741/15. Let q(u) be the third derivative of 0 + 11*u**2 + 0*u**3 + 1/3*u**4 + 0*u - d*u**5. Factor q(g).
-4*g*(g - 2)
Solve 64/5*h + 2/5*h**2 + 312/5 = 0.
-26, -6
Let i(w) be the second derivative of -w**5/30 - 295*w**4/18 - 878*w**3/9 - 584*w**2/3 + 850*w. Factor i(s).
-2*(s + 1)*(s + 2)*(s + 292)/3
Let i(d) be the second derivative of d**6/70 - 5*d**5/28 - 27*d**4/28 - 25*d**3/14 - 11*d**2/7 - 206*d + 5. Solve i(h) = 0 for h.
-1, -2/3, 11
Let o be (51/(-15) - (48 - (55 - 0)))*380/6. Determine h, given that -o*h**3 - 1074/7*h**2 - 747/7*h**4 - 108/7*h**5 - 288/7*h - 27/7 = 0.
-3, -1/3, -1/4
Suppose -7*v - 23075 = -20*v. Factor v*z**3 - 8*z**2 - 16*z**2 + 9*z**4 - 1781*z**3.
3*z**2*(z - 2)*(3*z + 4)
Let v(y) be the second derivative of -5*y**7/2