v**6/72 + 5*v**4/2 - 15*v. Let z(p) be the third derivative of r(p). Factor z(k).
-5*k*(k - 2)*(k + 1)**2
Suppose -z - a - 1 = -4*z, 0 = -z + 5*a - 23. Factor -12*k**3 - 2*k**z - 2*k + 14*k**3 + 0*k + 2*k**4.
2*k*(k - 1)*(k + 1)**2
Let j(r) be the first derivative of 1/24*r**4 + 0*r**3 - 4 + 0*r - 1/60*r**5 + 5/2*r**2. Let h(b) be the second derivative of j(b). Factor h(n).
-n*(n - 1)
Let j(n) = -4*n**2 + 5. Suppose 4*b - 15 = -b. Suppose 2*y = -v + y, -b*v - 4*y + 5 = 0. Let k(f) = -6*f**2 + 7. Let m(x) = v*k(x) + 7*j(x). Factor m(z).
2*z**2
Let q(m) = m**3 - 3*m**2 - 4*m. Let y be q(0). Let t(i) be the first derivative of -3/7*i + 1/7*i**3 - 6 + y*i**2. Solve t(j) = 0.
-1, 1
Let q(d) be the first derivative of 25*d**3/27 - 80*d**2/9 + 256*d/9 - 204. Factor q(w).
(5*w - 16)**2/9
Suppose 8 = 4*l - 20. Let o = -5 + l. Factor -3*j**2 + o + 4*j + 1 + 4*j**2.
(j + 1)*(j + 3)
Let a = -8 - -63. Determine b, given that -a - 46*b**2 + 47 + 40*b + 6*b**3 - b**3 + 9*b**3 = 0.
2/7, 1, 2
Let m(j) = j**3 - 10*j**2 + 9*j. Let s(w) = 3*w - 27. Let l be s(12). Let o be m(l). Find n such that 0 + 4/9*n**2 + o*n + 10/9*n**3 = 0.
-2/5, 0
Let n = -16 - -15. Let a be n + -1 + 11 + -4. Determine y, given that -2*y**5 - 3*y**4 + 0*y**a + 2*y**2 + y**4 + y + y**5 = 0.
-1, 0, 1
Factor 3/5*j**4 + 33/5*j**3 + 147/5*j + 12 + 117/5*j**2.
3*(j + 1)**2*(j + 4)*(j + 5)/5
Let b(k) be the third derivative of k**8/2520 + 13*k**7/1575 + 47*k**6/900 + 23*k**5/450 - 4*k**4/15 - 4*k**3/5 + 92*k**2. Suppose b(l) = 0. Calculate l.
-6, -1, 1
Let i(s) be the first derivative of -s**6/27 + 2*s**5/9 - 7*s**4/18 + 2*s**3/9 + 7. Factor i(d).
-2*d**2*(d - 3)*(d - 1)**2/9
Let p(v) be the first derivative of -3/4*v**4 + 0*v - 3*v**3 - 3*v**2 - 8. Factor p(h).
-3*h*(h + 1)*(h + 2)
Let n = 224 + -212. Suppose n = -5*c + 22. Factor -1/5*k**3 + 1/5 + 3/5*k**c - 3/5*k.
-(k - 1)**3/5
Suppose 25*l - 56 = 23*l. Let h be 0 - l/(-8) - 3. Solve -1/2*c - 1/6 - 1/6*c**3 - h*c**2 = 0.
-1
Factor -j**4 - 1112*j**2 - j**4 + 5*j**4 + 1121*j**2 + 15*j**3 - 3*j**5.
-3*j**2*(j - 3)*(j + 1)**2
Suppose 0 = -c - 2, b + 3*b - 4 = -2*c. Suppose b*a + 6*a = -a. Factor 6/17*t + a + 8/17*t**2.
2*t*(4*t + 3)/17
Suppose -3*m - 4*c - 508 = 0, -2*c + 274 - 780 = 3*m. Let g = 170 + m. Solve 6/7*q - 6/7*q**3 - 4/7 - 10/7*q**4 + 2*q**g = 0 for q.
-1, 2/5, 1
Let f = 476 - 476. Let p = 229/9 + -25. Find w such that f*w**2 - p + 2/9*w**3 - 2/3*w = 0.
-1, 2
Let r be 17/(-34) + 354/260. Let w = r + -6/13. Factor 0 + 0*b**3 + 0*b - w*b**4 + 0*b**2.
-2*b**4/5
Factor 1/7 + 2/7*i + 1/7*i**2.
(i + 1)**2/7
Let i(d) be the third derivative of d**6/1620 - d**5/180 - d**4/27 - 7*d**3/6 + 12*d**2. Let n(y) be the first derivative of i(y). Factor n(k).
2*(k - 4)*(k + 1)/9
What is v in -62*v**3 - 165*v**2 - 185*v - 46 - 5*v**4 + 30 + 7*v**3 - 54 = 0?
-7, -2, -1
Determine z, given that 5/6*z**3 + 2/3*z + 7/6*z**4 + 0 - 8/3*z**2 = 0.
-2, 0, 2/7, 1
Let b(g) be the first derivative of 9/5*g + 2 + 1/15*g**3 - 3/5*g**2. Let b(j) = 0. What is j?
3
Let f = 3 - 0. Let p(u) = 3*u**2 + 26*u - 2. Let l be p(-9). Factor -5*k**3 + k - l*k**f + 12*k**4 - 6*k**2 - 6 + 14*k - 3*k**5.
-3*(k - 2)*(k - 1)**3*(k + 1)
Let s(i) be the first derivative of i**3/3 + 35*i**2/2 + 345. Factor s(n).
n*(n + 35)
Let x = 199 - 164. Let f be (-15)/(-18) - x/(-126). Suppose 2/9*a**3 - 2/3 - f*a**2 + 14/9*a = 0. Calculate a.
1, 3
Let g be (-156)/(-110) - (-28)/154. Let m(v) be the second derivative of -18/5*v**5 + 0 - 1/2*v**3 + 0*v**2 + 9/4*v**4 + 5*v + g*v**6. Factor m(k).
3*k*(k - 1)*(4*k - 1)**2
Factor k**4 + 14*k**3 - 4*k**2 - 40*k - k**5 + 2*k**4 + 0*k**4 - 6*k**4 + 16*k**2.
-k*(k - 2)**2*(k + 2)*(k + 5)
Let c = 52 + -47. Suppose -3*a - 6 - 13 = -c*l, l = 5. Suppose 0*v - 1/2*v**5 - 3/2*v**3 + 0 - 1/2*v**a - 3/2*v**4 = 0. Calculate v.
-1, 0
Let f(r) be the first derivative of -7*r**4/44 - 16*r**3/33 - r**2/2 - 2*r/11 - 275. Find c such that f(c) = 0.
-1, -2/7
Let n(g) be the second derivative of g**4/4 + 5*g**3/2 + 9*g**2 + 139*g + 1. Suppose n(m) = 0. Calculate m.
-3, -2
Let t(o) be the third derivative of -2*o**7/105 - o**6/15 + o**5/5 + 2*o**4/3 - 8*o**3/3 - 4*o**2 - 2. Factor t(a).
-4*(a - 1)**2*(a + 2)**2
Let z(h) be the first derivative of 4*h**3/3 - 116*h**2 + 3364*h + 328. Factor z(w).
4*(w - 29)**2
Let q be (-15762)/7326 - 14/(-6). Determine w, given that -q*w**2 + 6/11*w + 0 = 0.
0, 3
Suppose 0 = 4*w - g, 4*g = 8*w - 12*w. Let y(i) be the third derivative of -5*i**2 + 1/180*i**5 - 1/72*i**4 + 0*i**3 + 0 + w*i. Factor y(m).
m*(m - 1)/3
Factor 4*b**4 + 0*b**4 + 45*b**3 + b**4 - 1361*b**2 + 1251*b**2.
5*b**2*(b - 2)*(b + 11)
Let q(d) = d**2 - d - 38. Let z be q(-6). Let r(w) be the first derivative of -11/2*w**2 - 19/3*w**3 - 5/2*w**z + 3 - 2*w. Suppose r(i) = 0. What is i?
-1, -1/2, -2/5
Suppose 3*n - 2*x + 6 = 0, -2*x = -5*n + 3*x - 15. Let z be 28/(-21)*19/(-38). Let z*a**2 + n*a + 0 = 0. What is a?
0
Let h(m) be the first derivative of m**5/4 - 5*m**4/16 - 5*m**3/12 + 5*m**2/8 - 4. Factor h(g).
5*g*(g - 1)**2*(g + 1)/4
Let o(v) = -3*v**2 + 3*v - 1. Let s(y) = -y**2 + y. Let j(p) = -o(p) + s(p). Let w be j(1). Determine u so that 20*u + w + 7*u**3 + 3 + 28*u**2 + 5*u**3 = 0.
-1, -1/3
Let v be (30/21)/(27/63). Let f(j) be the second derivative of -2*j + 0 - 15/2*j**2 - 5/12*j**4 - v*j**3. Factor f(z).
-5*(z + 1)*(z + 3)
Let m(z) be the second derivative of z**4/114 + 64*z**3/57 + 1024*z**2/19 + 2*z + 30. Factor m(y).
2*(y + 32)**2/19
Let q = -20 - -23. Let j(y) be the first derivative of 0*y**2 + 0*y + 6 - 3/4*y**4 + y**q. Factor j(p).
-3*p**2*(p - 1)
Let d(t) = 3*t**2 + 199*t - 153. Let u(x) = 3*x**2 + 192*x - 153. Let w(p) = -6*d(p) + 7*u(p). Factor w(j).
3*(j - 1)*(j + 51)
Let s(w) be the third derivative of -w**6/24 - 41*w**5/2 - 8405*w**4/2 - 1378420*w**3/3 - 244*w**2. Let s(p) = 0. What is p?
-82
Let b(s) be the first derivative of -2*s**3/39 - 6*s**2/13 - 10*s/13 + 89. Determine m, given that b(m) = 0.
-5, -1
Let z(u) be the third derivative of u**10/30240 + u**9/12096 - 3*u**5/5 - 23*u**2. Let d(j) be the third derivative of z(j). Factor d(n).
5*n**3*(n + 1)
Determine i, given that -345*i**2 + 232*i**3 + 114*i**4 - 436*i**2 + 160 + 669*i**2 + 9*i**5 - 169*i - 135*i = 0.
-10, -2, 2/3
Let n = -1614 + 1619. Let i(g) be the second derivative of 0*g**2 - 1/130*g**n + 0 - 3*g + 0*g**3 - 1/26*g**4. Factor i(k).
-2*k**2*(k + 3)/13
Let g(m) be the third derivative of m**8/840 + m**7/525 - 7*m**6/150 - 14*m**5/75 + 2*m**4/15 + 32*m**3/15 - 440*m**2. Factor g(v).
2*(v - 4)*(v - 1)*(v + 2)**3/5
Let p(g) be the third derivative of g**7/1575 + g**6/900 - g**5/450 - g**4/180 + 175*g**2. Factor p(b).
2*b*(b - 1)*(b + 1)**2/15
Let m(c) = c**3 - 3*c**2 + 6*c + 10. Suppose 2*q = -18 - 4. Let i(f) = -2*f**3 + 6*f**2 - 11*f - 19. Let r(v) = q*m(v) - 6*i(v). Let r(n) = 0. What is n?
-1, 2
Let r be 84/22 + (28 - 9792/352). Factor -72/7*f**2 + 0 + 48/7*f - 3/7*f**r + 27/7*f**3.
-3*f*(f - 4)**2*(f - 1)/7
Let w(j) be the third derivative of -j**5/20 - 15*j**4/8 - 13*j**3 + 53*j**2. Solve w(p) = 0.
-13, -2
Let f = 25592/64005 + 2/12801. Find o, given that 1/5*o**3 + 0*o + 0 + f*o**2 = 0.
-2, 0
Let g = 714 - 12133/17. Let j = g - -247/85. Solve 16/5*q + 4/5*q**2 + j = 0.
-2
Let j(f) be the first derivative of -f**8/1008 - f**7/105 - f**6/40 - f**5/45 + 10*f**2 - 22. Let k(u) be the second derivative of j(u). Factor k(w).
-w**2*(w + 1)**2*(w + 4)/3
Let t = -4270/3 - -1426. Suppose 10/3*z**2 + t - 8*z = 0. Calculate z.
2/5, 2
Let i(g) = g + 10. Let c be i(-7). Let m be c/(-12)*(3 - 3). Determine o so that 1/3*o**2 - 1/3*o**5 - 1/3*o**4 + m + 1/3*o**3 + 0*o = 0.
-1, 0, 1
Let u = 5 + 11. Factor -48*w**5 - u*w**3 + 15*w**2 - 90*w**4 - 59*w**3 - 3 + 13*w - 30*w**4 + 2*w.
-3*(w + 1)**3*(4*w - 1)**2
Suppose g + 9 = 17. Let v be (-9)/(324/g) + (-15)/(-27). Factor 4/3*y**2 + 1/3*y + 4/3*y**4 + v*y**5 + 0 + 2*y**3.
y*(y + 1)**4/3
Let z(h) be the third derivative of h**8/84 - 2*h**7/21 - h**6/10 + 17*h**5/15 - 5*h**4/3 + 309*h**2. Factor z(j).
4*j*(j - 5)*(j - 1)**2*(j + 2)
Solve 2*i - 6/5 - 2/5*i**3 - 2/5*i**2 = 0 for i.
-3, 1
Factor 1/7*i**2 - 10/7 - 3/7*i.
(i - 5)*(i + 2)/7
Suppose h - 2*v = -0*h + 55, -v - 320 = -5*h. Solve -15 - 140*g + 89*g**4 - h + 260*g**3 - 84*g - 36*g**5 - 52*g**2 