n**3/7 + 80*n + 2. Factor s(y).
3*y*(y - 5)*(y - 2)**2/7
Let l = -30 + 32. Let m = -626 + 629. Determine c, given that 5/3*c + c**m + 1/3 + 7/3*c**l = 0.
-1, -1/3
Let u(b) be the second derivative of 0*b**3 + 1/300*b**6 - 1/75*b**5 + 5/2*b**2 + 5*b + 0 + 0*b**4. Let f(y) be the first derivative of u(y). Factor f(z).
2*z**2*(z - 2)/5
Let b(s) be the second derivative of 2*s**6/15 - s**5/30 - 31*s**3/6 + 48*s. Let r(z) be the second derivative of b(z). Solve r(v) = 0.
0, 1/12
Let m(a) = -a**2. Let t(x) = 6*x**2 - 330*x + 9075. Let g(s) = -3*m(s) - t(s). What is v in g(v) = 0?
55
Let f(o) = 10*o**4 - 2*o**3 - 16*o**2 + 2*o + 12. Let j(s) = s**4 + s**3 - s. Let l(p) = -f(p) + 6*j(p). Factor l(t).
-4*(t - 3)*(t - 1)*(t + 1)**2
Suppose -6 = -4*p + 6. Suppose -t - p*d = 9, 5*t + d = 20 - 9. Factor -16*h + 27*h - 11*h**2 + 3*h**t - 17*h + 8.
(h - 4)*(h + 1)*(3*h - 2)
Let f(p) = 2*p**4 + 55*p**3 - 228*p**2 + 560*p - 455. Let a(r) = -3*r**4 - 57*r**3 + 225*r**2 - 561*r + 456. Let w(s) = 5*a(s) + 6*f(s). Factor w(u).
-3*(u - 5)**2*(u - 3)*(u - 2)
Let b(m) be the second derivative of -7*m**7/2 - 56*m**6/5 + 45*m**5 - 36*m**4 + 189*m. Factor b(z).
-3*z**2*(z + 4)*(7*z - 6)**2
Factor -18*v**4 - 14*v**3 - 26*v**3 - 3*v**3 + 18*v**2 + 21*v + 22*v**3.
-3*v*(v - 1)*(v + 1)*(6*v + 7)
Let w(r) = -r**3 + 10*r**2 + 27*r + 4. Let o be w(12). Let k = -36 + o. Find h, given that 2/5*h**5 - 2/5*h**3 + 2/5*h**k + 0 - 2/5*h**2 + 0*h = 0.
-1, 0, 1
Suppose 1/2 + d - 3/2*d**2 = 0. Calculate d.
-1/3, 1
Suppose 82 = k + 2*h + 87, -4*k + 4*h + 28 = 0. Factor -2/15*j**k + 0 + 2/15*j**2 - 2/15*j**4 + 2/15*j.
-2*j*(j - 1)*(j + 1)**2/15
Let x(r) be the first derivative of 9*r**5 + 55*r**4/4 + 10*r**3/3 - 47. Factor x(a).
5*a**2*(a + 1)*(9*a + 2)
Let p(w) = -w**2 + 9*w + 94. Let c be p(-6). Factor 2/11*s**5 + 2/11*s**2 - 2/11*s**c + 8/11 - 10/11*s**3 + 16/11*s.
2*(s - 2)**2*(s + 1)**3/11
Suppose -5*r = 3*d - d - 14, -2*r + 8 = 2*d. Let v(h) be the first derivative of 7 + 0*h**r + 2/3*h**6 - 8/5*h**5 + h**4 + 0*h + 0*h**3. Factor v(a).
4*a**3*(a - 1)**2
Let y be ((-2)/26)/((-110)/45166). Let v = y + -200/13. Solve 3/5*m**3 + v + 81/5*m + 27/5*m**2 = 0 for m.
-3
Factor 0*q - 5*q + 2*q**2 - 9*q + 0*q.
2*q*(q - 7)
Let t(o) be the first derivative of o**4/54 - 2*o**3/27 + o**2/9 + 4*o - 4. Let q(b) be the first derivative of t(b). Factor q(n).
2*(n - 1)**2/9
Suppose -1/2*h**2 + 1/4*h**5 + 3/2*h**4 + 2*h**3 - 9/4*h - 1 = 0. Calculate h.
-4, -1, 1
Let u = -6 + 5. Let v be u/(-2) - (-63)/18. Factor 3*r**3 - 4*r - 3*r**5 - 2*r**v + 4*r**2 + 0*r + 2*r**5 + 0*r**5.
-r*(r - 1)**2*(r + 2)**2
Let 44/5*g - 43/5*g**3 + 11/5*g**2 - 1/5*g**5 + 17/5*g**4 - 28/5 = 0. What is g?
-1, 1, 2, 14
Let c(m) be the third derivative of m**7/105 - m**6/12 + m**5/5 + m**4/3 - 8*m**3/3 - 419*m**2. Factor c(d).
2*(d - 2)**3*(d + 1)
Let c be -24*(-3 - (-20)/8). Let v = c - 10. Factor -p**5 - p**3 + 5*p**2 - p**4 - v*p - 2*p**3 + 0*p**2 + 2*p**5.
p*(p - 1)**3*(p + 2)
Let m(p) be the second derivative of p**7/210 + p**6/50 + p**5/50 + 2*p + 1. Solve m(d) = 0 for d.
-2, -1, 0
Let k(h) be the third derivative of -h**8/5376 - h**7/2016 + h**6/576 - 11*h**5/30 + 18*h**2. Let o(r) be the third derivative of k(r). Solve o(g) = 0.
-1, 1/3
Let p(x) be the first derivative of -x**5/30 - x**4/6 + x**2/2 + 4. Let w(z) be the second derivative of p(z). Factor w(i).
-2*i*(i + 2)
Let t be ((-12)/6)/(-20)*24. Let d(m) be the first derivative of 1/2*m**6 + 3/2*m**2 - 4 + 9/2*m**4 + 0*m - t*m**5 - 4*m**3. Solve d(y) = 0 for y.
0, 1
Suppose -z - 12 = -14. Factor 1 - 3/2*d + 1/2*d**z.
(d - 2)*(d - 1)/2
Let m(l) be the third derivative of -l**7/12600 - l**6/150 - 6*l**5/25 + 2*l**4/3 - 25*l**2. Let r(n) be the second derivative of m(n). Factor r(d).
-(d + 12)**2/5
Let n(y) be the third derivative of -8*y**8/21 + 152*y**7/105 + 19*y**6/10 + 3*y**5/5 + 641*y**2. Solve n(j) = 0.
-3/8, -1/4, 0, 3
Factor 4/3*r - 2/3*r**3 - 2/3*r**2 + 0.
-2*r*(r - 1)*(r + 2)/3
Let o(i) be the first derivative of 7*i - 6*i**2 - 4*i**3 - 5/4*i**4 - 9 - 3/20*i**5. Let r(y) be the first derivative of o(y). What is c in r(c) = 0?
-2, -1
Let n(u) be the second derivative of u**6/90 - u**5/30 - u**4/3 - 5*u**3/3 - 32*u. Let q(y) be the second derivative of n(y). Factor q(x).
4*(x - 2)*(x + 1)
Let k = 28/97 + 54/485. Suppose -2/5*u**4 + 0 + 2/5*u**3 - k*u + 2/5*u**2 = 0. What is u?
-1, 0, 1
Let c(q) = -482*q + 5784. Let d be c(12). Find v such that 0 - 2/9*v**4 + 4/9*v**3 - 2/9*v**2 + d*v = 0.
0, 1
Suppose -3*x + 27 = 5*z, -2*z + 3 = -2*x + 5. Suppose 2*m + 4 = r, 2*m + z + 1 = -2*r. Suppose 3/7*a**4 + 0 + 0*a - 12/7*a**2 + r*a**3 = 0. What is a?
-2, 0, 2
Let u = -9055/6 + 1515. Let s(b) be the second derivative of 0 - 10/3*b**4 - 6*b - 5*b**2 + u*b**3 + 3/4*b**5. Factor s(a).
5*(a - 1)**2*(3*a - 2)
Let x(t) = -13*t + 109. Let y be x(8). Let d(r) be the third derivative of -1/30*r**y + 1/6*r**4 + 0 + 0*r**3 - 6*r**2 + 0*r. Find b, given that d(b) = 0.
0, 2
Let q be ((18/22)/3)/((-78)/(-52)). Factor -4/11*x + 0 + q*x**3 + 2/11*x**2.
2*x*(x - 1)*(x + 2)/11
Let d(j) be the third derivative of 0*j - 1/490*j**7 + 1/70*j**6 + 0*j**3 - 12*j**2 + 0*j**4 + 0 - 3/140*j**5. Factor d(h).
-3*h**2*(h - 3)*(h - 1)/7
Let s(a) be the third derivative of 0*a**5 - 1/40*a**6 + 0*a + 0*a**3 - 16*a**2 + 1/8*a**4 + 0. Find d such that s(d) = 0.
-1, 0, 1
Let a be (731/255 - 6/(-45)) + -6 + 5. Factor 6/7 - 3/7*g**3 + 3/7*g - 6/7*g**a.
-3*(g - 1)*(g + 1)*(g + 2)/7
Let k(c) be the first derivative of 0*c**3 + 0*c**2 - 1/4*c**4 + 0*c**5 + 1/6*c**6 + 21 + 0*c. Let k(a) = 0. What is a?
-1, 0, 1
Let h(x) be the second derivative of -x**5/2 - x**4 - x**3/3 - 57*x + 2. Factor h(f).
-2*f*(f + 1)*(5*f + 1)
Let l = -1 - -4. Let s be (-2)/(-6)*l + 4. Solve s*f - 3 + f**3 + f**3 + 3*f**2 - 5*f**3 - 2*f = 0.
-1, 1
Let l be (9/6)/(-8 + (-154)/(-14)). Factor l + 3/4*v + 1/4*v**2.
(v + 1)*(v + 2)/4
Let w(t) = t**2 - 4*t - 3. Let u = 5 + 1. Let v be w(u). Factor 6 - 9*x + 17*x**4 + v*x**3 + 3*x**2 - 20*x**4 - 6*x**2.
-3*(x - 2)*(x - 1)**2*(x + 1)
Let k(r) be the first derivative of r**4/12 - 31*r**3/9 + 59*r**2/6 - 29*r/3 - 181. Factor k(p).
(p - 29)*(p - 1)**2/3
Let s be ((-32)/(-33))/(3176/2382). Let -2/11*v**3 + 4/11 - 10/11*v + s*v**2 = 0. Calculate v.
1, 2
Let w be (-2)/2 - (-14 + 15 + 21/(-10)). Determine x, given that w*x**3 - 1/5*x**2 + 0 + 1/10*x = 0.
0, 1
Let v(x) = -x**3 + 8*x**2 + 5. Let z be v(8). Let s = 8 - z. Solve s*k**3 - 3*k**3 + 31*k**4 - 34*k**4 = 0 for k.
0
Let s(a) be the second derivative of 2*a**6/3 - 2*a**5/5 - 35*a**4/3 - 32*a**3/3 + 24*a**2 + 2*a - 123. Find h, given that s(h) = 0.
-2, -1, 2/5, 3
Let t be 6*(-1 + -2)/6. Let d be 3 - (t + 3)/(-4). What is p in -2*p**2 + 1 + 3*p**2 - 4*p**4 + 4*p**3 + 2*p**2 + 0*p**d - 4*p = 0?
-1, 1/2, 1
Let y = -9 + 13. Let 0*x**5 - 3*x**2 + 3*x**2 + 6*x**4 - 2*x**3 - 2*x**5 + y*x - 6*x**2 = 0. What is x?
-1, 0, 1, 2
Let g = 2 + -13. Let z = 16 + g. Solve 3*x**3 - z*x**3 - 8*x + 8*x = 0.
0
Solve -49/5*x - 1/5*x**3 - 24/5 - 26/5*x**2 = 0 for x.
-24, -1
Let l(t) be the third derivative of -t**5/120 + 13*t**4/24 + 7*t**2 - 28. Factor l(u).
-u*(u - 26)/2
Factor -28*j - 1/2*j**2 - 55/2.
-(j + 1)*(j + 55)/2
Let m(s) be the first derivative of s**5/2 - 9*s**4/8 + s**3/2 + s**2/4 - 65. Suppose m(w) = 0. What is w?
-1/5, 0, 1
Let k(i) be the first derivative of -i**3/18 - 9*i**2/2 - 243*i/2 + 107. Solve k(a) = 0.
-27
Let s = -5 + 13. Suppose -6 = -u - 2*m + s, 2*u + 3*m - 23 = 0. Find r such that -28*r**2 - 1 - 3*r**5 - 2*r**2 - 15*r - 2 - 30*r**3 - 20*r**u + 5*r**4 = 0.
-1
Let q = -2018 + 2038. Find o, given that -4/5*o**2 - q - 8*o = 0.
-5
Let f be (-6 + 5)*1*-4. Factor z + 3*z**3 + z**4 + 3*z**2 + 4*z**4 - z**f - 3*z**4.
z*(z + 1)**3
Factor 9*o + 18 - 7/8*o**2 - 1/8*o**4 - o**3.
-(o - 3)*(o + 3)*(o + 4)**2/8
Factor 683 + 719 + 56*s - 2360 + 766 - 2*s**2.
-2*(s - 24)*(s - 4)
Let f be (2*(-4)/(-10))/((-80)/(-1400)). Let j be 4/f*7/8. Factor 0 - 3/4*b**4 + j*b**5 + 0*b - 1/4*b**2 + 3/4*b**3.
b**2*(b - 1)**3/4
Let r(d) = d**2 + 7*d + 12. Let w be r(-4). Let t(z) be the second derivative of 0*z**3 - 1/18*z**4 + 4*z + 1/90*z**6 + w*z**5 + 1/6*z**2 + 0. Factor t(a).
(a - 1)**2*(a + 1)**2/3
Factor -6 - 4*g + g**4 + 3*g + g**3 - 186*g**2 - 5*g - 7*g + 179*g**