ond derivative of -m*u**6 + 0*u**4 + 4*u + 0 + 0*u**2 + 0*u**3 + 1/10*u**5 + 1/21*u**7. Factor i(a).
2*a**3*(a - 1)**2
Solve 11*h**2 - 34*h**2 + 16*h**2 + 12 + 11*h**2 - 16*h = 0.
1, 3
Let y = -28/139 - -613/973. Factor -3/7*f**5 + y*f**3 + 0 + 0*f + 3/7*f**2 - 3/7*f**4.
-3*f**2*(f - 1)*(f + 1)**2/7
Suppose 260*z = 274*z. Factor -1/2*u**5 + z*u - 1/2*u**2 + 1/2*u**4 + 1/2*u**3 + 0.
-u**2*(u - 1)**2*(u + 1)/2
Let d(c) be the first derivative of -4*c**5/5 - 2*c**4 - 4*c**3/3 - 51. Factor d(t).
-4*t**2*(t + 1)**2
Let m be 375/4250*(-8)/(-3). Factor 4/17*i - 2/17*i**2 + 2/17*i**4 + 0 - m*i**3.
2*i*(i - 2)*(i - 1)*(i + 1)/17
Let a(k) be the first derivative of k**6/14 - 3*k**4/28 + 35. Find s, given that a(s) = 0.
-1, 0, 1
Factor 18*v**3 + 5*v**5 - 20*v**4 + 9*v**3 - 6*v**3 - v**3.
5*v**3*(v - 2)**2
Let x(n) = -n**3 - 9*n**2 - 9*n - 7. Let d be x(-8). Let w = 23/2 + -11. Suppose -w*j**2 - d + 3/2*j = 0. Calculate j.
1, 2
Find v, given that -375*v - 16 + 35*v**4 - 1657*v**2 - 14 - 165*v**3 - 40 + 1152*v**2 = 0.
-1, -2/7, 7
Let m(y) be the first derivative of -y**6/27 - 2*y**5/15 - y**4/6 - 2*y**3/27 + 17*y - 8. Let p(d) be the first derivative of m(d). Factor p(f).
-2*f*(f + 1)**2*(5*f + 2)/9
Let o(x) be the second derivative of -x**5/10 - 2*x**4/3 - 62*x. Factor o(t).
-2*t**2*(t + 4)
Let f(g) = -17*g**3 - 36*g**2 - 55*g - 36. Let a(z) = 32*z**3 + 71*z**2 + 110*z + 71. Let d(y) = -6*a(y) - 11*f(y). Solve d(v) = 0.
-3, -2, -1
Suppose 0 = 4*g - 7 - 1. Let h(n) = 13*n**3 - n**2. Let f be h(1). Factor -12*x**3 + 8 - 9*x**2 + f*x + 6 - g - 3*x**4.
-3*(x - 1)*(x + 1)*(x + 2)**2
Let n(u) = -6*u**3 + 12*u**2 - 31*u + 5. Let j(y) = y**3 - y - 1. Let q(t) = -5*j(t) - n(t). Solve q(w) = 0.
0, 6
Let p(f) be the first derivative of -5*f**9/3024 + f**8/112 - f**6/18 + 2*f**3 - 4. Let q(g) be the third derivative of p(g). Determine z so that q(z) = 0.
-1, 0, 2
Let u = 3822 - 57328/15. Solve u + 0*r - 2/15*r**2 = 0 for r.
-1, 1
Let b(w) = -2*w - 5. Let p be b(-5). Let r be (1/2)/((-5)/(-30)). Determine a, given that 6*a**3 + a - 5*a + r*a**5 - p*a + 6*a**2 + 3 - 9*a**4 = 0.
-1, 1
Let a(c) be the third derivative of -c**7/1890 - c**6/1080 + c**5/90 - c**2 + c. Determine i, given that a(i) = 0.
-3, 0, 2
Suppose -7 = m - 11. Factor 16*t**2 + 0*t**2 - 78 - 2*t**3 - m*t**2 + 14.
-2*(t - 4)**2*(t + 2)
Let x(j) be the first derivative of j**8/420 + j**7/105 + j**6/90 - j**3 + 7. Let p(w) be the third derivative of x(w). Factor p(k).
4*k**2*(k + 1)**2
Let i(q) be the second derivative of -2*q**2 - 5*q - 2*q**3 + 0 + 1/4*q**4 - 1/10*q**6 + 2/5*q**5. Suppose i(n) = 0. Calculate n.
-1, -1/3, 2
Let w(r) be the first derivative of -2*r**6/3 + 12*r**5/5 - 3*r**4 + 4*r**3/3 - 354. Factor w(c).
-4*c**2*(c - 1)**3
Let i(v) be the third derivative of v**5/12 - 5*v**4/4 + 25*v**3/6 - 5*v**2 + 37*v. Factor i(z).
5*(z - 5)*(z - 1)
Suppose -12*h + 119 = -155 + 238. Suppose 1/8*g - 1/4*g**h - 1/4*g**2 + 1/8*g**4 + 1/8 + 1/8*g**5 = 0. Calculate g.
-1, 1
Factor 15*i**2 + 4900 + 2826*i + 0*i**3 + 312*i**2 - 43*i**2 + 4*i**3 + 2354*i.
4*(i + 1)*(i + 35)**2
Suppose 2*b - 102 = 4*h - 66, -5*h = -3*b + 46. Suppose 3/8 + 1/8*k**b - 1/2*k = 0. What is k?
1, 3
Let z be (-1)/(9/(-6)) + 48/36. Factor 4/3*k + 5/3 - 1/3*k**z.
-(k - 5)*(k + 1)/3
Let c be ((-1*2)/4)/(21/(-3402)). Let j = 85 - c. Factor -1/2*f**j + f**3 + 0 + 0*f**2 + 0*f.
-f**3*(f - 2)/2
Suppose 493*j - 492*j = -4*c + 14, -3*j = -18. Find l, given that -16/5*l + 64/5 + 1/5*l**c = 0.
8
Let n be (3/81)/(20/42). Let x(r) be the second derivative of 0*r**5 + 0*r**3 - 1/42*r**7 + 0*r**2 - 6*r + 1/9*r**4 + 0 - n*r**6. Let x(w) = 0. Calculate w.
-2, -1, 0, 2/3
Let i(n) be the third derivative of n**5/120 + 7*n**4/48 - 328*n**2. Solve i(t) = 0 for t.
-7, 0
Let h(q) = -3*q**2 + 18*q - 81. Let j(d) = 16*d**2 - 90*d + 405. Let i(v) = 22*h(v) + 4*j(v). Factor i(y).
-2*(y - 9)**2
Let w(n) = -1 + 0 + 8*n - 3*n**2 - 4*n + 2*n**2. Let h be w(3). Determine i so that 2/5*i**h + 0 + 4/5*i = 0.
-2, 0
Let z(h) be the second derivative of 4/27*h**3 + 0*h**2 + 0 + 12*h - 1/54*h**4. Find r such that z(r) = 0.
0, 4
Factor 17956/7 + 272/7*i**2 - 9514/7*i - 2/7*i**3.
-2*(i - 67)**2*(i - 2)/7
Suppose 45*z**3 + 51*z**3 + 30*z**4 - 73956*z**5 + 73959*z**5 + 45*z + 114*z**2 = 0. Calculate z.
-5, -3, -1, 0
Let s(r) be the first derivative of 6 + 3*r + 1595*r**3 - 1596*r**3 - 35. Find v such that s(v) = 0.
-1, 1
Suppose -p = -0*i - 2*i + 57, 93 = 3*i + p. Let a = 33 - i. Factor 93*d**3 - 6 - 45*d**3 + 9*d - 51*d**a.
-3*(d - 1)**2*(d + 2)
Let z(u) be the second derivative of -u**6/15 - 27*u**5/10 - 25*u**4/3 + 407*u. Factor z(f).
-2*f**2*(f + 2)*(f + 25)
Let q be 4*(-1 + 2) - (-31 + 30). Solve 3/4*d**2 - 5/4*d**3 + d**q - 3/4*d**4 + 1/4*d + 0 = 0.
-1, -1/4, 0, 1
Let k(h) be the third derivative of 0 - 3/28*h**8 - 4/3*h**4 + 0*h - 16*h**2 + 17/30*h**6 + 2/35*h**7 - 7/15*h**5 + 8/3*h**3. Determine g, given that k(g) = 0.
-1, 2/3, 1
Let k(v) be the first derivative of 3*v**4/28 + v**3/7 - 27*v**2/14 - 27*v/7 - 3. Factor k(d).
3*(d - 3)*(d + 1)*(d + 3)/7
Let z be -4 - (-50)/12 - 288/(-54). Suppose 1/6*a**5 + 8/3*a + z*a**3 + 0 - 20/3*a**2 - 5/3*a**4 = 0. Calculate a.
0, 1, 4
Let w be 10/5 - (8/21)/(6/27). Determine k so that 8/7*k**3 + 0 - 2/7*k**4 + w*k**2 - 8/7*k**5 + 0*k = 0.
-1, -1/4, 0, 1
Suppose 5*h - 20 = 0, 4*i = -4*h + h + 4. Let o(k) = 81*k**2 - 225. Let s(x) = 5*x**2 - 14. Let j(v) = i*o(v) + 33*s(v). Let j(p) = 0. Calculate p.
-2, 2
Let g(m) = 5*m**5 - 41*m**4 + 6*m**3 + 58*m**2 + 13*m - 33. Let n(j) = -3*j**5 + 27*j**4 - 4*j**3 - 39*j**2 - 8*j + 22. Let t(o) = 5*g(o) + 8*n(o). Factor t(p).
(p - 1)**2*(p + 1)**2*(p + 11)
Suppose 4 = 5*j - 2*m, -3 = 2*j - 4*m + 5. Factor 3*t**2 + 2 - 5*t**2 + 2 + j*t.
-2*(t - 2)*(t + 1)
Let -1/6*x**4 + 7/2*x**2 + 4/3*x**3 - 4/3*x - 10/3 = 0. Calculate x.
-2, -1, 1, 10
Let b(q) = 241*q + 482. Let n be b(-2). Let y be 3 + ((-50)/4)/5. What is z in n*z - 1/6 - 1/3*z**3 + y*z**2 = 0?
-1/2, 1
Let f = -19/517 - -12982/1551. Factor -f + 5/3*a**2 - 20/3*a.
5*(a - 5)*(a + 1)/3
Let f = -20/3 + 149/21. Let m(i) be the first derivative of -3 - f*i**2 + 2/21*i**3 + 4/7*i. Factor m(t).
2*(t - 2)*(t - 1)/7
Let t(j) be the first derivative of -j**5 + 25*j**4 - 530*j**3/3 + 510*j**2 - 585*j + 169. Factor t(n).
-5*(n - 13)*(n - 3)**2*(n - 1)
Suppose 0 = -83*w + 87*w - 20. Suppose -5*o - a + 14 = 0, -5*a - 26 = -w*o - 9*a. Determine r so that 6/5*r + 3/5*r**o - 3/5*r**4 + 0 - 6/5*r**3 = 0.
-2, -1, 0, 1
Let l(a) be the first derivative of -3*a**4/16 - 9*a**3/4 + 33*a**2/4 + 10. Factor l(o).
-3*o*(o - 2)*(o + 11)/4
Factor -6*q**2 + 3*q**2 - 32*q + 28 + 6*q + q**2.
-2*(q - 1)*(q + 14)
Let s(i) = i**3 + i**2 + i - 1. Let z(u) = 3*u**2 + 3*u - 2. Let b = 58 - 56. Let t(o) = b*s(o) - z(o). Solve t(c) = 0.
-1/2, 0, 1
Solve -9/7*v**2 + 9/7*v**4 + 3/7*v**5 - 6/7*v + 3/7*v**3 + 0 = 0 for v.
-2, -1, 0, 1
Let v(u) be the third derivative of -u**4/24 + 5*u**3/6 - 6*u**2. Let y be v(2). Factor 9 - 24*t**y + 14*t**4 - 36*t**3 - 66*t + 92*t**2 + 9 + 4*t**4 - 2*t**5.
-2*(t - 3)**2*(t - 1)**3
Let d(u) be the third derivative of u**5/600 + 3*u**4/40 + 27*u**3/20 - 45*u**2. Solve d(w) = 0 for w.
-9
Suppose -2*a = -0 + 6. Let w(b) = b**2. Let k(y) = -y**3 - 1. Let d(v) = a*w(v) + k(v). Let t(q) be the first derivative of d(q). Solve t(m) = 0 for m.
-2, 0
Suppose 2*g = -2*w - 10, -w - 12 = -4*g - 32. Factor 28/5*c**3 + 0 + 8/5*c**4 + 16/5*c**2 - 4/5*c**5 + w*c.
-4*c**2*(c - 4)*(c + 1)**2/5
Factor -24*b + 187 - 211 + 12*b**2 - 2*b**3 + 14*b.
-2*(b - 4)*(b - 3)*(b + 1)
Let w(u) = u**3 + 9*u**2 - 53*u + 53. Let k be w(3). Solve -2 + 4/3*p + 2/3*p**k = 0.
-3, 1
Let h be ((-120)/30)/(-8 + 2). Find c such that 2/3*c**2 - 20/3*c + h*c**3 + 16/3 = 0.
-4, 1, 2
Let x(u) be the third derivative of 25*u**8/2184 + 19*u**7/273 + 16*u**6/195 + 2*u**5/65 - 28*u**2 + 3. Determine w so that x(w) = 0.
-3, -2/5, 0
Let b(u) = -u**3 - 5*u**2 + 3*u + 7. Suppose 3*l - 6 = -21. Let h(k) = -1 - 1 + k**2 + 1 + 0. Let c(y) = l*h(y) - b(y). Factor c(o).
(o - 2)*(o + 1)**2
Let g(x) be the second derivative of x**7/7 - 7*x**6/15 + x**5/5 - 46*x. Factor g(c).
2*c**3*(c - 2)*(3*c - 1)
Let i(z) = z**3 - 6*z**2 + 13*z - 8. Let b be i(3). Let v(l) be the second derivative of -2/9*l**3 - 5*l - 1/36*l*