0 + 20/7*o**2.
-4*o*(o - 6)*(o + 1)/7
Let z(d) be the third derivative of d**7/105 + d**6/2 + 32*d**5/5 - 128*d**4/3 - 164*d**2. Determine m so that z(m) = 0.
-16, 0, 2
Let y(b) be the third derivative of -b**6/72 - 7*b**5/180 + b**4/9 + 2*b**3/9 - 93*b**2. Find x, given that y(x) = 0.
-2, -2/5, 1
Factor -3/5 - 4/5*c - 1/5*c**2.
-(c + 1)*(c + 3)/5
Suppose -4*k - 1 = -17, 0 = j - k + 2. Let v be (-254)/(-70) - 3/15. Determine i so that 55/7*i**3 + 27/7*i**4 + v*i + 5/7*i**5 + 4/7 + 53/7*i**j = 0.
-2, -1, -2/5
Factor 47*j + 22*j**3 + 128 - 2*j**4 + 58*j**2 - 130*j**2 - 15*j.
-2*(j - 4)**3*(j + 1)
Let s(l) be the third derivative of -1/504*l**8 - 1/108*l**6 + 8*l**2 - 1/135*l**7 + 0*l + 0 + 0*l**4 - 1/270*l**5 + 0*l**3. Find q, given that s(q) = 0.
-1, -1/3, 0
Factor 116/7*f + 4/7*f**3 + 8 + 64/7*f**2.
4*(f + 1)**2*(f + 14)/7
Let l = 26 - 24. Determine h so that 1 + 3*h + 3*h**l + 2 - 4*h + 7*h = 0.
-1
Let y(q) be the first derivative of -2/5*q**2 + 14/15*q**3 - 2/5*q - 4 - 2/5*q**4. Factor y(j).
-2*(j - 1)**2*(4*j + 1)/5
Let c(v) = 13*v**2 + 18 + 28*v - 7*v**3 + 8*v - 8*v - 58. Let n(q) = -36*q**3 + 64*q**2 + 139*q - 200. Let y(h) = 11*c(h) - 2*n(h). Solve y(l) = 0 for l.
-2, 1, 4
Let v(n) be the first derivative of n**4/20 + 14*n**3/15 - 31*n**2/10 + 16*n/5 - 465. Solve v(p) = 0 for p.
-16, 1
Let z(i) be the third derivative of 0*i + 1/12*i**5 - 5/3*i**3 + 5/24*i**4 + 0 + 3*i**2. What is v in z(v) = 0?
-2, 1
Let p(u) = -u**3 - 26*u**2 + 23*u - 2. Let v(x) = 6*x**3 + 130*x**2 - 114*x + 11. Let f(t) = -22*p(t) - 4*v(t). Factor f(z).
-2*z*(z - 25)*(z - 1)
Factor -2/11*s**2 + 40/11*s - 200/11.
-2*(s - 10)**2/11
Find p such that -974 - 1055 + 1901 - 34*p**2 - 2*p**3 - 160*p = 0.
-8, -1
Suppose 0 = 4*n - 5*s + 6*s - 9, 15 = -5*s. Let z(g) be the first derivative of -g**2 + 3 - 4*g + 2/3*g**n. Determine r so that z(r) = 0.
-1, 2
Let z = -52 - -63. Suppose z = 3*m - 5*w, w - 1 + 0 = -m. Solve 0 + 2/3*q**m - 4/3*q + 2/3*q**3 = 0.
-2, 0, 1
Let w(m) = -2*m**5 + m. Let a(u) = -10*u**5 - 10*u**4 - 10*u**3 + 10*u**2 + 16*u. Let g(j) = a(j) - 4*w(j). Let g(v) = 0. What is v?
-3, -2, -1, 0, 1
Suppose -5*n + 35 = -5*k, -4*n + 7 + 16 = -3*k. Let f be (-11)/(-4) - 6/8. Suppose 3*x**n - 12 - 4*x - 7*x**f + 20 = 0. Calculate x.
-2, 1
Suppose -4 + 31 = t. Let y = -27 + t. Solve -3*u**2 + 3*u**2 + y*u**2 + 3*u**2 = 0 for u.
0
Let i(c) = 11*c**2 - 3*c + 8. Let l(v) = -2*v - 2. Let a be l(-2). Let x(h) = -a*h + 7*h**2 - 6 + 4 + 2 + 5. Let o(y) = 5*i(y) - 8*x(y). Factor o(p).
-p*(p - 1)
Let p be 15/(-21) - (-15 - -14). Factor 0 + 2/7*r**2 + 0*r - p*r**3.
-2*r**2*(r - 1)/7
Let j(a) be the second derivative of -a**7/3 - 44*a**6/15 - 48*a**5/5 - 40*a**4/3 - 16*a**3/3 - 52*a. Factor j(v).
-2*v*(v + 2)**3*(7*v + 2)
Let j(m) = -8*m**2 - 16*m - 36. Let b(q) = -q**2 - q. Let s(g) = 10*b(g) - j(g). Factor s(l).
-2*(l - 6)*(l + 3)
Let j(z) be the third derivative of 0 + 11/8*z**4 - 1/28*z**8 + z**3 - 18*z**2 - 7/40*z**6 + 0*z - 13/70*z**7 + 11/20*z**5. What is f in j(f) = 0?
-2, -1, -1/4, 1
Let q(b) be the third derivative of 25*b**8/336 + b**7/14 - 47*b**6/24 + 73*b**5/12 - 35*b**4/4 + 20*b**3/3 + 6*b**2 - 8*b. What is k in q(k) = 0?
-4, 2/5, 1
Let o(b) be the second derivative of b**4/3 - 5*b**3/6 + 23*b. Let u(i) = -i**3 + i**2 + i. Let n(m) = -2*o(m) - 2*u(m). Factor n(t).
2*t*(t - 4)*(t - 1)
Let a(c) be the third derivative of c**8/28 + 4*c**7/15 - 7*c**6/30 - 2*c**5/3 - 2*c**2 + 382*c. Let a(g) = 0. What is g?
-5, -2/3, 0, 1
Let u(s) be the second derivative of -s**10/7560 - s**9/1890 + s**7/315 + s**6/180 + s**4/2 - 17*s. Let r(n) be the third derivative of u(n). Solve r(t) = 0.
-1, 0, 1
Let h(l) = 54*l**3 + 231*l**2 - 89*l - 7. Let g(y) = -28*y**3 - 116*y**2 + 44*y + 4. Let k(p) = -7*g(p) - 4*h(p). Find d such that k(d) = 0.
-6, 0, 2/5
Factor -48*u**3 - 86*u**3 - 74*u**4 + 5*u**5 - 80*u - 100*u**3 - 3*u**5 - 238*u**2.
2*u*(u - 40)*(u + 1)**3
Factor 8/7 + 8/7*v - 4/7*v**3 - 6/7*v**2 + 2/7*v**4.
2*(v - 2)**2*(v + 1)**2/7
Let k = 5 - 1. Factor -2*m**2 + 51*m**3 + m**2 + 2*m + m**k - 53*m**3.
m*(m - 2)*(m - 1)*(m + 1)
Let f(n) be the first derivative of 4*n**5/45 - n**4/3 - 20*n**3/9 - 34*n**2/9 - 8*n/3 + 164. Let f(w) = 0. What is w?
-1, 6
Suppose -6*m + 9*m - 6 = 0. Factor 16 - 3*a**m + 0*a**2 + 6*a**2 - 8*a - 2*a**2.
(a - 4)**2
Let d(l) be the first derivative of 5/6*l**2 + 1/3*l**5 - 1 + 0*l - 5/12*l**4 - 5/9*l**3. Suppose d(p) = 0. What is p?
-1, 0, 1
Let s be 66/7 - 27/(21 - 18). Determine c, given that -6/7 + 3/7*c + s*c**2 = 0.
-2, 1
Let z = 31/603 - -386/4221. Factor z*p**2 + 12/7*p + 36/7.
(p + 6)**2/7
Let p(z) be the second derivative of z**5/140 + 4*z**4/7 + 31*z**3/14 + 23*z**2/7 - 45*z. Factor p(u).
(u + 1)**2*(u + 46)/7
Let n(g) be the first derivative of 1/15*g**3 - 3/25*g**5 + 2/5*g - 1/4*g**4 - 9 + 1/2*g**2. Determine t, given that n(t) = 0.
-1, -2/3, 1
Factor 2*r**3 - 3*r**3 + 14*r**2 - 52*r + 3*r.
-r*(r - 7)**2
Let h be (68 + -63)*(-1)/(-48). Let s(d) be the second derivative of 3/80*d**5 + h*d**4 + 0*d**2 + 5*d + 0 + 1/12*d**3. Find y, given that s(y) = 0.
-1, -2/3, 0
Let k(m) be the first derivative of m**4/18 - 4*m**2/3 - 20*m - 10. Let g(l) be the first derivative of k(l). Factor g(d).
2*(d - 2)*(d + 2)/3
Suppose -8/9*x + 2/3*x**3 - 2/9*x**5 + 0 - 4/9*x**4 + 8/9*x**2 = 0. What is x?
-2, 0, 1
Let l(m) be the third derivative of -13*m**2 + 0*m**4 + 0*m**3 + 1/165*m**7 - 1/165*m**5 + 1/132*m**6 + 0 + 0*m. Suppose l(i) = 0. What is i?
-1, 0, 2/7
Suppose -13*b**3 - b**2 + 4*b**2 + 10*b**3 - 9*b**2 = 0. Calculate b.
-2, 0
Let w(f) be the second derivative of f**7/42 - f**6/10 - f**5/20 + 7*f**4/12 - 2*f**2 - 80*f + 1. Factor w(m).
(m - 2)**2*(m - 1)*(m + 1)**2
Suppose 3*n + 3*n - 4*n = 0. Let r be ((-1)/2)/((-1)/4). Factor n*v**2 + 4*v - 2 - v**2 - v**r.
-2*(v - 1)**2
Let w(g) = -22*g**2 + 32*g. Let t(j) be the first derivative of 2*j**3/3 - 3*j**2/2 + 13. Let p(v) = 68*t(v) + 6*w(v). Factor p(i).
4*i*(i - 3)
Suppose -33 = -3*s - 24. Let j(h) be the first derivative of h**2 + 0*h**s + 0*h - 5 - 3/8*h**4 + 1/10*h**5. Let j(a) = 0. Calculate a.
-1, 0, 2
Let m(q) be the third derivative of q**6/180 + 89*q**5/360 - 85*q**4/72 - 4*q**3/3 - 57*q**2. Find g, given that m(g) = 0.
-24, -1/4, 2
Let x = -5 - -7. Suppose v - 2 = x. Factor -10*c**4 - 14*c - 48*c**2 - 14*c**4 - 4*c - 52*c**3 + 2*c - v*c**5.
-4*c*(c + 1)**2*(c + 2)**2
Suppose -14*i = -189 + 133. Factor 4/9*w**2 + 0*w + 0 - 10/9*w**3 - 8/3*w**i.
-2*w**2*(3*w + 2)*(4*w - 1)/9
Let l = -57149/90 + 635. Let k(g) be the second derivative of 0 - 2*g + 1/27*g**4 - 2/9*g**2 + 1/27*g**3 - l*g**5. Factor k(h).
-2*(h - 2)*(h - 1)*(h + 1)/9
Let z(q) be the second derivative of 3/2*q**2 - 9/20*q**5 + 15*q - 5/2*q**3 + 7/4*q**4 + 0. Factor z(g).
-3*(g - 1)**2*(3*g - 1)
Let c(j) be the first derivative of 15*j + 5*j**2 - 5/3*j**3 - 22. Suppose c(y) = 0. What is y?
-1, 3
Let n(z) = -80*z**4 - 620*z**3 - 724*z**2 - 204*z - 40. Let y(f) = f**4 + f**3 + f**2 + f - 1. Let d(o) = -n(o) + 20*y(o). Solve d(u) = 0.
-5, -1, -1/5
What is m in 73 - 57*m + 4*m + 3*m**3 + 27*m**2 + 83 - 91*m = 0?
-13, 2
Let q(l) be the first derivative of -49/10*l**5 + 14/3*l**4 - 6 + 4*l + 0*l**2 - 4/3*l**3. Let m(h) be the first derivative of q(h). Factor m(k).
-2*k*(7*k - 2)**2
Let i(k) = -8*k**4 + 45*k**3 - 69*k**2 + 27*k. Let z(g) = 4*g**4 - 23*g**3 + 35*g**2 - 13*g. Let m(n) = -3*i(n) - 5*z(n). Factor m(a).
4*a*(a - 2)**2*(a - 1)
Let n(i) be the third derivative of 2*i**7/315 - i**5/15 + i**4/9 - i**2 - 1. Factor n(r).
4*r*(r - 1)**2*(r + 2)/3
Let n(v) = -3*v**3 - 72*v**2 - 87*v. Let p(z) = -z**2 + 2*z. Let i(x) = n(x) + 6*p(x). Factor i(j).
-3*j*(j + 1)*(j + 25)
Let u(q) = 2*q**5 - 2*q**4 - 4*q**3 - 4*q**2 + 4*q + 4. Let x(m) = 4*m**5 - 4*m**4 - 9*m**3 - 9*m**2 + 9*m + 9. Let l(t) = 9*u(t) - 4*x(t). Factor l(j).
2*j**4*(j - 1)
Let q(c) be the first derivative of 5*c + 2 - 1/18*c**4 - 1/10*c**5 + 2/9*c**3 + 0*c**2. Let f(o) be the first derivative of q(o). Factor f(w).
-2*w*(w + 1)*(3*w - 2)/3
Factor -40*p - 14*p**4 - 130*p**2 - 4*p**4 + 76*p**3 + 39*p**3 - 2*p**4.
-5*p*(p - 4)*(p - 2)*(4*p + 1)
Let k(t) be the third derivative of -t**6/180 + t**5/30 - t**4/18 - 68*t**2. Factor k(v).
-2*v*(v - 2)*(v - 1)/3
Let l be -127 + 130 - (0 - 0). Let 