e (3/(-18)*-6*0)/2. Let u(m) be the first derivative of 2/15*m**3 + r*m - 2/5*m**2 + 5. Factor u(f).
2*f*(f - 2)/5
Let t(m) = 10*m - 20. Let a be t(4). Suppose -2*k + 22 = a. Factor -k + 0*b**2 + 3/2*b - 1/2*b**3.
-(b - 1)**2*(b + 2)/2
Let z = 5641/6 - 940. Suppose 2/3*l**3 + 1/6 + l**2 + 2/3*l + z*l**4 = 0. Calculate l.
-1
Let z(r) = -17*r**4 + 30*r**3 + 76*r**2 - 281*r - 11. Let p(d) = -9*d**4 + 15*d**3 + 39*d**2 - 141*d - 6. Let x(a) = -11*p(a) + 6*z(a). Let x(n) = 0. What is n?
-3, 0, 3, 5
Let s(y) be the second derivative of y**6/105 + y**5/35 + y**4/42 - 145*y. Factor s(f).
2*f**2*(f + 1)**2/7
Let w(s) = 48*s**3 + 2*s**2 - 3*s + 1. Let t be w(1). Factor t*m + 22 + 24*m**2 + 1 + 9 + 7*m**3 - 3*m**3.
4*(m + 2)**3
Let m be (36/(-21) - -2) + (115/42)/(-23). Suppose 0 - m*n**3 + 1/2*n - 1/3*n**2 = 0. What is n?
-3, 0, 1
Factor 34*g**3 + 198*g - 98*g**3 + 316*g**2 + 3*g**4 + 432 + g**4 - 822*g.
4*(g - 9)*(g - 3)*(g - 2)**2
Let r(z) = -z**2 - 22*z + 78. Let q be r(-25). Suppose 2*l + 2*l - 284 = 0. Solve -18*t**2 - 81 + t**2 - 27*t**3 + 3*t**4 + l*t**2 + 3*t**q = 0 for t.
-1, 3
Suppose -6 - 23*g**2 + 22*g**2 - 35*g**2 - 8 - 52*g - 2 = 0. What is g?
-1, -4/9
Suppose -8*f = -5*f. Suppose 2*l + 30 = 5*i, 6 = -f*i + i - 4*l. Find j such that -j - 1 + i*j + 9 - 29*j - 8*j**3 - 30*j**2 = 0.
-2, 1/4
Suppose a + 4*a = 5*v + 190, -10 = 5*v. Let z = a - 143/4. Factor -16 - 12*f - 3*f**2 - z*f**3.
-(f + 4)**3/4
Let q(v) be the second derivative of v**4/66 - 26*v**3/33 - 87*v**2/11 - 60*v - 2. Factor q(d).
2*(d - 29)*(d + 3)/11
Let f(m) be the first derivative of m**5/15 - m**4/2 + 4*m**3/3 + 6*m**2 + 8. Let k(b) be the second derivative of f(b). Let k(i) = 0. Calculate i.
1, 2
Let n(l) be the second derivative of l**6/15 - l**5/5 - 5*l**4/6 + 2*l**3 + 9*l + 1. Factor n(h).
2*h*(h - 3)*(h - 1)*(h + 2)
Factor -4 + 51*u - 87*u**2 + 11*u**2 - 2 + 31*u**2.
-3*(u - 1)*(15*u - 2)
Let v be (-60)/2*(-32)/(-80). Let c = -12 - v. What is d in 4 - d**3 + 0 - 5*d + 5*d**2 - 3*d + c*d**3 = 0?
1, 2
Suppose -233*n + 229*n + 12 = 0. Let p be 171/95 + 6/10. Determine z so that -p*z**n + 0*z + 0 - 12/5*z**2 - 3/5*z**4 = 0.
-2, 0
Let u be ((-1)/1)/((-3)/24). Let p be (2/6)/(u/24). Let k(g) = g**3 + g**2 - 8*g - 4. Let r(n) = n**3 - n**2. Let t(q) = p*k(q) + 2*r(q). Factor t(h).
(h - 2)*(h + 1)*(3*h + 2)
Factor -6 - 13 - 3*d**4 + 24 - 243*d**2 + 54*d**3 - 5.
-3*d**2*(d - 9)**2
Let w = -1585 + 4763/3. Factor -4/3*q**2 - 1/6*q**3 - 10/3*q - w.
-(q + 2)**2*(q + 4)/6
Let u(c) = 42 - 274*c**2 + 272*c**2 - 15 - 45*c. Let v be u(-23). Factor 8*n - 22/3*n**2 - 3 - 1/3*n**v + 8/3*n**3.
-(n - 3)**2*(n - 1)**2/3
Suppose 4*g = g - v + 9, 0 = -4*g - 2*v + 10. Factor 19*y**4 - 5*y**5 + 15*y**g - 29*y**4.
-5*y**4*(y - 1)
Let r be (44/16 - 2) + (-578)/24. Let i = r - -24. Suppose 2*w**2 + i - 2*w - 2/3*w**3 = 0. What is w?
1
Let d(k) be the first derivative of -k**6/600 + 3*k**5/100 - k**4/8 + 7*k**3/30 - 23*k**2/2 - 26. Let p(w) be the second derivative of d(w). Factor p(g).
-(g - 7)*(g - 1)**2/5
Suppose 5*r = 4*c + 9*r, 0 = 5*r + 10. Let y(z) be the second derivative of -4/3*z**c + 0 + 2/9*z**3 + 9*z + 2/9*z**4 - 1/15*z**5. Factor y(p).
-4*(p - 2)*(p - 1)*(p + 1)/3
Let f(a) be the third derivative of 4/3*a**4 - a**5 - 8/9*a**3 - 14*a**2 + 0 + 0*a + 5/18*a**6. Factor f(r).
4*(r - 1)*(5*r - 2)**2/3
Suppose 17*o - 5*p = 19*o - 23, 5*p - 7 = 2*o. Let m(j) be the second derivative of 1/48*j**3 - 1/96*j**o - 2*j - 1/160*j**5 + 1/16*j**2 + 0. Factor m(l).
-(l - 1)*(l + 1)**2/8
Suppose -k + 0 = -2. Let i be (k - -3)*(-21)/(-35). Factor 28*l**3 + 21*l**i + 8*l + 36*l**2 - 21*l**3.
4*l*(l + 1)*(7*l + 2)
Let a be ((-333)/222)/(1*(-18)/16). Let 8*d**2 + 4/3*d**3 - a*d**4 - 16/3*d - 32/3 = 0. Calculate d.
-2, -1, 2
Let g(t) be the second derivative of t**4 - 1/5*t**5 + 0*t**2 + 0 + 3*t - 4/3*t**3. Find o, given that g(o) = 0.
0, 1, 2
Solve 2/5*g**2 - 2/5*g - 84/5 = 0 for g.
-6, 7
Let c be (-4)/8*-8 - 0. Suppose c*t - 30 = -2*t. Solve 165*r**3 - 10 - 105*r**5 - 21*r**2 + 4 - 1 + 33*r**4 - 60*r - t = 0.
-1, -2/5, -2/7, 1
Let h be (-6)/(-30) - (-356)/20. Factor -22/3*r**4 - 2/3*r**5 - 54*r - 60*r**2 - h - 92/3*r**3.
-2*(r + 1)**2*(r + 3)**3/3
What is h in 55*h**4 - 21*h**5 + 6*h**5 - 10*h**3 + 35*h - 69*h**2 - h**2 + 15 - 10*h = 0?
-1, -1/3, 1, 3
Let m(c) be the third derivative of c**7/1365 + c**6/195 - c**5/130 - 5*c**4/78 + 8*c**3/39 + 116*c**2. Determine v so that m(v) = 0.
-4, -2, 1
Let b(v) be the third derivative of -v**7/5040 - v**6/720 - v**5/240 - v**4/144 + 37*v**3/6 + 34*v**2. Let n(s) be the first derivative of b(s). Factor n(t).
-(t + 1)**3/6
Let p(t) be the second derivative of 5*t**7/42 - t**5/2 + 5*t**3/6 + 143*t. Factor p(f).
5*f*(f - 1)**2*(f + 1)**2
Suppose 3*i + s = 3, 8*i - 3*s = 6*i + 13. Factor 3/2*m**4 + 3*m**i + 6*m - 9/2 - 6*m**3.
3*(m - 3)*(m - 1)**2*(m + 1)/2
Let l(o) = -122*o - 727. Let q be l(-6). Factor -h**3 + 2/3*h - 1/3*h**2 + 1/3*h**q + 0 + 1/3*h**4.
h*(h - 1)**2*(h + 1)*(h + 2)/3
Factor 3/2*x**3 + 9*x**2 - 144*x + 336.
3*(x - 4)**2*(x + 14)/2
Let i(c) be the first derivative of -4/21*c**3 + 0*c**2 - 40 + 4/7*c. Solve i(z) = 0.
-1, 1
Let a = -1 + 3. Suppose -2*x + 18 = 3*x - t, -3*x + 15 = -a*t. Solve m + x*m**3 + 6*m**4 - 4*m + 3*m**5 + 3*m = 0 for m.
-1, 0
Let h = -2 - 10. Let w be (-14)/(-10) - h/60. Factor 8/5 - w*s + 2/5*s**2.
2*(s - 2)**2/5
Let a be -6*(-6)/(-324)*4*-3. Let k(j) be the second derivative of -2*j**5 + 5/6*j**6 + 1/2*j**2 + a*j**3 + j + 0 + 1/2*j**4. Factor k(r).
(r - 1)**2*(5*r + 1)**2
Let g(m) = 7*m**3 + 19*m**2 - 180*m + 106. Let w(a) = 48*a**3 + 132*a**2 - 1260*a + 741. Let k(q) = -15*g(q) + 2*w(q). Find x such that k(x) = 0.
-6, 2/3, 3
Let p(v) be the second derivative of 5/3*v**3 + 25/2*v**2 + 0 - 17*v + 1/12*v**4. Factor p(y).
(y + 5)**2
Determine n, given that -9*n**3 - 18*n - 105/4*n**2 + 0 - 3/4*n**4 = 0.
-8, -3, -1, 0
Let l(i) = 5*i - 6*i - i**2 + i**3 + i**2 + i**2. Let f(s) = -s**4 - 8*s**2 + 4*s. Let z(p) = -f(p) - 4*l(p). Factor z(c).
c**2*(c - 2)**2
Factor 0*u**2 - 4/3*u**3 + 28/3*u - 8.
-4*(u - 2)*(u - 1)*(u + 3)/3
Let v(n) = -9*n**2 - 72*n + 288. Let d(o) = -8*o**2 - 70*o + 288. Let i(h) = -6*d(h) + 5*v(h). Factor i(l).
3*(l - 4)*(l + 24)
Let k be 0 + -1*(1 + -3). Let s be -5 - -11 - 6/k. Factor 7*y**3 - 3*y**2 - 6*y - 12*y**2 - 3*y**4 - 19*y**s.
-3*y*(y + 1)**2*(y + 2)
Suppose 0 = -52*w + 54*w + 2. Let u be (-1 + 0)/(1 - (-3)/w). Factor 1/6*h**2 + 0 - u*h.
h*(h - 3)/6
Let b(h) be the first derivative of 0*h - 10 + 9/2*h**2 - 9/4*h**4 + 3/5*h**5 - h**3. Suppose b(x) = 0. What is x?
-1, 0, 1, 3
Let i = -85 - -75. Let k be (-4 - (-135)/36)*i/4. Factor 13/8*m**3 + k*m**4 - 5/2*m - 3/4*m**2 + 1.
(m - 1)*(m + 2)**2*(5*m - 2)/8
Suppose 0 = -3*t - y - 920, 5*t - 5*y = -8*y - 1528. Let o = t - -3390/11. What is f in -6/11*f - o*f**2 - 4/11 = 0?
-2, -1
Let z(m) be the second derivative of -m**6/6 + m**5/2 + 25*m**4/3 - 55*m**3 + 225*m**2/2 - 57*m. Find r, given that z(r) = 0.
-5, 1, 3
Let j(i) be the second derivative of -i**5/40 + 5*i**4/12 + 7*i**3/12 - 49*i**2 + 262*i. Factor j(m).
-(m - 7)**2*(m + 4)/2
Let g = 1857 + -5569/3. Determine s so that 0*s + s**3 + 2/3*s**4 + 0 - g*s**2 - s**5 = 0.
-1, 0, 2/3, 1
Let a(v) be the second derivative of -1/24*v**4 + 0 + 0*v**3 + 0*v**2 + 26*v + 1/120*v**6 - 1/80*v**5. Factor a(t).
t**2*(t - 2)*(t + 1)/4
Determine n, given that -2/5*n**2 + 0 - 1/5*n - 1/5*n**3 = 0.
-1, 0
Factor -3040/13*k**2 - 64/13 - 686/13*k**5 - 5264/13*k**3 - 736/13*k - 3332/13*k**4.
-2*(k + 2)**2*(7*k + 2)**3/13
Let m(f) be the first derivative of -f**5/12 + 7*f**4/6 + 2*f**3 - 13*f**2 + 32. Let t(l) be the second derivative of m(l). Solve t(j) = 0.
-2/5, 6
Let p(l) be the second derivative of 0*l**2 + 0 - 1/50*l**5 - 9*l + 1/10*l**4 - 2/15*l**3. Factor p(f).
-2*f*(f - 2)*(f - 1)/5
Factor 0 + 1/6*i**2 - 29/6*i.
i*(i - 29)/6
Let w be ((-400)/(-48) - 7) + (-4)/(-6). Determine d so that 2/3*d**5 + 4/3*d**w - 2/3 - 2/3*d**4 + 2/3*d - 4/3*d**3 = 0.
-1, 1
Let n be 28/21*(-45)/175*21/(-18). Determine h, given that -4/5*h**2 + 0 + 2/5*h + n*h**3 = 0.
0, 1
Let w be ((-50)/(-4) - 12)/(6/4). Solve 0 + 2/3*n - n**3 - 1/3*n**2 + 1/3*n**4 + w*n**5 = 0.
-2, -1, 0, 1
What is z in 73*z**2 + 12*z - 102 - 81*z + 18*z - 75*z**2 - 53*z = 0?
-51