(s) be the first derivative of -s**5/4 + 25*s**4/12 - 5*s**3 - 23*s - 14. Let m(p) be the first derivative of v(p). Determine i so that m(i) = 0.
0, 2, 3
Let g(y) be the first derivative of -1/6*y**4 - 9 - 2/15*y + 2/5*y**3 - 1/5*y**2. Factor g(l).
-2*(l - 1)**2*(5*l + 1)/15
Suppose 2*o - 3*b = -3*o + 9, 4*o - 3 = b. Suppose o = -4*i - 3*i + 3*i. Factor -2/5*q**2 + 0*q - 2/5*q**3 + i.
-2*q**2*(q + 1)/5
Let x(b) = b**2 - 20*b - 91. Let r be x(24). Let t(s) be the third derivative of 1/15*s**r + 0*s + 0 + 32/3*s**3 + 7*s**2 + 4/3*s**4. Factor t(p).
4*(p + 4)**2
Factor 45/2*f**3 + 198*f + 3/2*f**4 + 108 + 111*f**2.
3*(f + 1)*(f + 2)*(f + 6)**2/2
Let w(q) be the first derivative of 2*q**5/85 + q**4/17 - 8*q**3/17 - 40*q**2/17 - 64*q/17 - 107. Factor w(h).
2*(h - 4)*(h + 2)**3/17
Let j(u) be the first derivative of -u**5/10 + 5*u**4/8 + u**3 - 8*u**2 - 16*u + 233. Solve j(r) = 0.
-2, -1, 4
Let s be -2 - (-2 + 5105/140). Let w = 147/4 + s. Factor w*a**5 + 12/7*a**3 + 2/7*a + 0 - 8/7*a**4 - 8/7*a**2.
2*a*(a - 1)**4/7
Let x(w) be the first derivative of -1/90*w**4 + 3*w - 3 + 0*w**2 + 1/75*w**5 - 2/45*w**3 + 1/225*w**6. Let s(k) be the first derivative of x(k). Factor s(z).
2*z*(z - 1)*(z + 1)*(z + 2)/15
Determine l so that -l + 0 - 1/4*l**3 + l**2 = 0.
0, 2
Factor -347*j**3 - 4057*j**4 - 368*j**2 + 352*j - 4060*j**4 + 8129*j**4 + 99*j**3.
4*j*(j - 22)*(j + 2)*(3*j - 2)
What is s in 25/4*s + 0 + 15/4*s**2 = 0?
-5/3, 0
Let h(b) be the third derivative of -b**5/12 + 5*b**4/4 + 40*b**3/3 + 18*b**2 + 3*b. Find n, given that h(n) = 0.
-2, 8
Let f = 90 - 61. Let u = -29 + f. Factor 1/2*i**3 + u - i**2 - 3/2*i.
i*(i - 3)*(i + 1)/2
Factor 29/5*f**3 + 2*f + 4/5*f**4 + 47/5*f**2 + 0.
f*(f + 2)*(f + 5)*(4*f + 1)/5
Let j be (-8)/(-6) - (-30)/(-25). Let t(k) be the first derivative of -4/5*k + 1/5*k**2 - 5 + j*k**3. Find a such that t(a) = 0.
-2, 1
Let z(f) be the third derivative of f**5/60 + 35*f**4/24 + 17*f**3/3 + 321*f**2 + 1. Factor z(o).
(o + 1)*(o + 34)
Let p be (-78)/(-15) - (-3)/(-15). Suppose -3*w = -3*a + 21, -p*w = -w + 8. Determine n so that -2*n**a + 10*n - 4*n + 12*n**3 + 16*n**2 + 0*n = 0.
-1, 0, 3
Let q be 5/((-30)/183) + 3. Let s = q + 28. Factor -s*o - o**2 + 0*o**3 + o**4 + 0 + 1/2*o**5.
o*(o - 1)*(o + 1)**3/2
Let l be -1 - 2*(-3)/2. Let r(w) = w + 13. Let b be r(-10). What is j in j - l*j**b - j + 2*j - j**4 - 1 + 2*j**4 = 0?
-1, 1
Let q(j) be the second derivative of -j**7/1890 - j**6/216 - j**5/90 + j**4/12 + 15*j. Let o(t) be the third derivative of q(t). Find v such that o(v) = 0.
-2, -1/2
Let h(q) = -q**2 + 9*q + 10. Let j(y) = 2*y**2 - 19*y - 16. Let b(f) = -11*h(f) - 6*j(f). Suppose b(c) = 0. Calculate c.
1, 14
Let x(j) = 22*j**3 + 6*j**2 - 135*j - 137. Let z(b) = -10*b**3 - 2*b**2 + 68*b + 68. Let q(n) = 4*x(n) + 9*z(n). Suppose q(i) = 0. What is i?
-4, -1, 8
Solve -8*j**2 - 790*j**4 + 792*j**4 + 240*j**3 + 8*j - 242*j**3 = 0 for j.
-2, 0, 1, 2
Let y(v) be the second derivative of -v**7/3360 - v**6/96 - 5*v**5/32 - 3*v**4/4 - 14*v. Let i(b) be the third derivative of y(b). Find m, given that i(m) = 0.
-5
Let a(i) be the first derivative of i**3/27 + i**2/9 - 41. Factor a(v).
v*(v + 2)/9
Let n = -42 + -12. Let x = -54 - n. Factor -2/3*a**2 - 2/3*a + 2/3*a**3 + x + 2/3*a**4.
2*a*(a - 1)*(a + 1)**2/3
Let n(z) be the first derivative of z**9/1512 - 29*z**8/2940 + 4*z**7/735 + 2*z**3/3 + 9*z**2/2 + 16. Let o(l) be the third derivative of n(l). Factor o(w).
2*w**3*(w - 8)*(7*w - 2)/7
Suppose 3*r - 6 = -0*r. Let q = 288/1463 - 2/133. Determine c so that 10/11*c + 8/11*c**r + 4/11 + q*c**3 = 0.
-2, -1
Factor -m**3 - 51*m - 54*m + 23*m**2 + 6*m**3 + 55 + 22*m**2.
5*(m - 1)**2*(m + 11)
Let u(t) be the second derivative of 4489*t**4/3 + 268*t**3 + 18*t**2 - 23*t. Suppose u(p) = 0. What is p?
-3/67
Let g(t) = t**2 - t - 2. Let v be g(-3). Let r = 10 - v. Let 6*k**4 - 1 - 4*k**2 - 4*k**3 - 4*k**3 - 1 + 8*k + r*k = 0. What is k?
-1, 1/3, 1
Let t be (-1 - -4)*4/(-12) - -5. Let n be (-3)/(2 + (-14)/4). Factor -15*w**5 - 6*w**4 - 3*w + 2*w**3 + 17*w**5 + t*w**2 + 2*w**n - w.
2*w*(w - 2)*(w - 1)**2*(w + 1)
Let p be 0 + (-5)/1 + (-273)/(-39). Find z such that 1/2*z**3 - z**p + 0 + 0*z = 0.
0, 2
Let u(d) be the second derivative of d**7/3150 - d**6/225 - d**5/30 + d**4/12 - 2*d. Let c(t) be the third derivative of u(t). Factor c(j).
4*(j - 5)*(j + 1)/5
Let q(u) be the second derivative of -u**4/54 + 5*u**3/27 - 2*u**2/3 - 117*u - 1. Suppose q(j) = 0. Calculate j.
2, 3
Suppose -13*u + 12 = -12*u. Let k(z) = -z + 1. Let m(x) = 10*x**3 - 4*x**2 + 2*x - 8. Let q(o) = u*k(o) + m(o). Factor q(l).
2*(l - 1)*(l + 1)*(5*l - 2)
Let h(m) = m**3 + 2*m**2 - m. Let i(g) = 2*g**3 - 11*g**2 - 27*g. Let f(r) = 3*h(r) + i(r). Solve f(j) = 0 for j.
-2, 0, 3
Let f(z) = -5*z**3 + 4*z**2 - 7*z + 8. Let j(u) = 11*u**3 - 9*u**2 + 15*u - 17. Let d(x) = 13*f(x) + 6*j(x). Factor d(c).
(c - 2)*(c - 1)*(c + 1)
Let h be 12*3/(-36)*-9. Find z, given that 20*z + 5*z**5 + h*z**4 + 3*z**2 + 9*z**3 - 20*z - 2*z**5 = 0.
-1, 0
Let p(z) = -z**3 - 15*z**2 - 51*z + 42. Let g be p(-8). Let -1/2*o + 0 + 4*o**g = 0. What is o?
0, 1/8
Let m(j) = 132*j**2 + 30*j - 48. Let t = 70 + -43. Let s(d) = 19*d**2 + 4*d - 7. Let g(b) = t*s(b) - 4*m(b). Factor g(u).
-3*(u + 1)*(5*u - 1)
Let f = -31 + 35. Factor 2*g + g**3 + f*g**5 - 9*g**3 + 2*g.
4*g*(g - 1)**2*(g + 1)**2
Suppose 2495 - 2541 = -23*t. Factor -4/7*w**t - 4/7*w + 0.
-4*w*(w + 1)/7
Let b(m) be the second derivative of -25*m**7/7 - 11*m**6/3 - 13*m**5/10 - m**4/6 - 97*m. Factor b(l).
-2*l**2*(3*l + 1)*(5*l + 1)**2
Let w(j) be the third derivative of 0 + 0*j + 0*j**4 - 1/150*j**6 + 1/420*j**8 + 13*j**2 + 0*j**7 + 0*j**5 + 0*j**3. Factor w(z).
4*z**3*(z - 1)*(z + 1)/5
Let n(m) be the first derivative of -25*m**4/4 + 140*m**3/3 - 70*m**2 - 80*m - 908. Find y, given that n(y) = 0.
-2/5, 2, 4
Let h(j) be the first derivative of -j**3/6 - j**2 - 3*j/2 - 22. Factor h(r).
-(r + 1)*(r + 3)/2
Let r(q) = -4*q**2 + 24*q - 20. Let c(s) = -8*s - 6. Let j be c(-3). Let y(u) = -u**2 + 6*u - 5. Let v(p) = j*y(p) - 4*r(p). Find o such that v(o) = 0.
1, 5
Let w(u) = 76*u + 2054. Let a be w(-27). Determine d so that 1/4*d**a - 1/4*d + 0 = 0.
0, 1
Let s(p) be the second derivative of -p**8/1680 - p**7/525 + 7*p**6/600 - p**5/75 + 21*p**2/2 + p - 3. Let f(c) be the first derivative of s(c). Factor f(g).
-g**2*(g - 1)**2*(g + 4)/5
Let y(t) be the first derivative of t**6/10 + 24*t**5/25 + 33*t**4/10 + 28*t**3/5 + 51*t**2/10 + 12*t/5 + 119. Factor y(k).
3*(k + 1)**4*(k + 4)/5
Let p = -1554 + 1557. Let k(t) be the second derivative of 0 - 1/6*t**4 - 4*t**2 - 4/3*t**3 + p*t. Factor k(w).
-2*(w + 2)**2
Let u be (-2)/(-19) + (-936)/(-4104). Determine d, given that -1/6*d - 1/6*d**3 + u*d**2 + 0 = 0.
0, 1
Factor -147*y**2 + 2 + 146*y**2 - 16*y + y**3 - 3 - 19.
(y - 5)*(y + 2)**2
Let t be (-6)/(-4)*-7*-15*26/2730. Solve -6*w + 0 - t*w**2 = 0.
-4, 0
Let o(v) be the second derivative of 5*v**4/24 - 20*v**3 - 209*v. Factor o(a).
5*a*(a - 48)/2
Let u(b) be the first derivative of -4*b**5/5 + 84*b**4 - 7384*b**3/3 + 6888*b**2 - 6724*b - 196. Factor u(d).
-4*(d - 41)**2*(d - 1)**2
Suppose 0 = 6*i - 4 - 116. Suppose -2*n - 2 + i = 0. Factor 5*v**2 - 14*v**2 + 3*v**3 + 1 - 4 + n*v.
3*(v - 1)**3
Suppose -31*z - 2*z**3 - 87/2*z**2 + 21/2 = 0. Calculate z.
-21, -1, 1/4
Let z(r) be the third derivative of -r**5/60 + 11*r**4/48 + r**3/2 - 6*r**2 + 2*r. What is y in z(y) = 0?
-1/2, 6
Let y(h) be the second derivative of h**6/120 - h**5/5 + 2*h**4 - 32*h**3/3 + 5*h**2 - h. Let m(p) be the first derivative of y(p). Factor m(z).
(z - 4)**3
Let f = -4299/1040554 + 2/3743. Let s = f + 281/834. Factor 2/3*b - 1/3 - s*b**2.
-(b - 1)**2/3
Let a(g) be the first derivative of g**6/80 + 7*g**5/40 + 15*g**4/16 + 9*g**3/4 + g**2 - 3. Let n(j) be the second derivative of a(j). Solve n(k) = 0.
-3, -1
Let j(x) = x**3 - 13*x**2 + 10*x - 21. Let b be j(12). Let d be (-6)/b*10/4. Factor a**2 + a + 1/3*a**3 + d.
(a + 1)**3/3
Let f(y) = 8*y**4 - 12*y**3 + 4*y**2 - 12*y - 12. Let v(j) = j**4 + j**3 + 2*j**2 - j - 1. Let q(u) = f(u) - 12*v(u). Factor q(i).
-4*i**2*(i + 1)*(i + 5)
Suppose -3*g + 2*a + 19 = 0, 5*a = 3*g - 3 - 31. Let c(l) be the first derivative of 1/2*l**2 + 3/2*l + 1/18*l**g - 1. Factor c(z)