 - 2/21*k**3. Let w(m) = 0. Calculate m.
0, 2
Let c be (-2)/3 - (-55)/15. Suppose -3*t = -2*j - 13, 0 = 2*j + c + 1. Factor 0*w**3 + 0*w**3 - 3*w**3 - t*w + 6*w**2.
-3*w*(w - 1)**2
Let x(s) be the first derivative of 2/15*s**5 - 2/9*s**3 + 11 + 0*s + 1/6*s**4 - 1/3*s**2. Factor x(k).
2*k*(k - 1)*(k + 1)**2/3
Let k be (((-252)/231)/(-3))/(12/22). Factor k*m**3 - 2/3*m - 1/3*m**2 + 0 + 1/3*m**4.
m*(m - 1)*(m + 1)*(m + 2)/3
Find g, given that -7/5*g**2 - 6/5*g - 2/5*g**3 + 0 = 0.
-2, -3/2, 0
Let a = 6416 + -6414. Factor 1/4*k**3 + 1/4*k**4 + 0*k - 1/4*k**a - 1/4*k**5 + 0.
-k**2*(k - 1)**2*(k + 1)/4
Let x(j) = 6*j**5 - 40*j**4 + 196*j**3 + 242*j**2 - 2*j. Let d(w) = 20*w**5 - 119*w**4 + 587*w**3 + 726*w**2 - 7*w. Let y(z) = 4*d(z) - 14*x(z). Factor y(m).
-4*m**2*(m - 11)**2*(m + 1)
Let g(d) = 4*d**4 + 2*d**3 + 3*d**2. Let l(v) = -3*v**4 - v**3 - 2*v**2. Let j = -147 - -151. Let t(n) = j*g(n) + 5*l(n). Suppose t(w) = 0. Calculate w.
-2, -1, 0
Let -3/7*y**2 - 300/7 + 60/7*y = 0. Calculate y.
10
Let h = -1514 + 9091/6. Factor h*o**3 - 2*o - 2/3 + 3/2*o**2.
(o - 1)*(o + 2)*(7*o + 2)/6
Let l(y) be the first derivative of y**5/4 + 25*y**4/16 - 65*y**3/12 + 35*y**2/8 - 65. Find c, given that l(c) = 0.
-7, 0, 1
Let o be 9/(-36) + (-7)/(-12). Let c(b) be the second derivative of 2*b + 1/18*b**3 - 1/60*b**5 + 0 + 1/18*b**4 - o*b**2. Factor c(d).
-(d - 2)*(d - 1)*(d + 1)/3
Determine u so that 42/5 - 1/5*u - 1/5*u**2 = 0.
-7, 6
Factor 10*u**2 + u - 9*u**2 + u - u - 2.
(u - 1)*(u + 2)
Let h(c) = -11*c**2 - 14*c + 12. Let l(t) = -120*t**2 - 155*t + 130. Let g(r) = 65*h(r) - 6*l(r). Find q such that g(q) = 0.
-4, 0
Let f(a) = a**3 - 2*a**2 - a + 1. Let d(k) = -15*k**3 + 128*k**2 - 125*k + 15. Let h(r) = -d(r) - 3*f(r). Suppose h(g) = 0. Calculate g.
1/6, 1, 9
Suppose 5*v**4 + 33*v + 42*v**2 + 70*v**3 + 81*v - 15*v + 11*v + 133*v**2 = 0. What is v?
-11, -2, -1, 0
Factor 22*b + 676 - 3*b + 4*b**2 - 65*b - 58*b.
4*(b - 13)**2
Factor -47*t - 5*t**3 + 0*t**3 - 3*t**3 - 44*t**2 + t**3 - 10.
-(t + 1)*(t + 5)*(7*t + 2)
Let r(b) = 18*b**4 + 73*b**3 + 85*b**2 + 16*b. Let w(z) = -54*z**4 - 218*z**3 - 254*z**2 - 48*z. Let f(s) = -10*r(s) - 3*w(s). Factor f(h).
-2*h*(h + 2)**2*(9*h + 2)
Let j(l) be the first derivative of 3*l**5/20 - 23*l**4/12 + 7*l**3/3 + 30*l - 18. Let m(n) be the first derivative of j(n). Factor m(z).
z*(z - 7)*(3*z - 2)
Let y(p) be the second derivative of p**4/16 + 2*p**3 + 45*p**2/2 - 51*p + 6. Determine d, given that y(d) = 0.
-10, -6
Let f(a) = -7*a**2 + 14*a + 103. Let u(b) = 36*b**2 - 67*b - 514. Let n(w) = -11*f(w) - 2*u(w). Factor n(o).
5*(o - 7)*(o + 3)
Let m(h) be the first derivative of h**6/6 - 2*h**5/5 - 3*h**4 - 14*h**3/3 - 5*h**2/2 + 90. Factor m(o).
o*(o - 5)*(o + 1)**3
Let z = -27 - -30. Factor z*j**3 - 1 + 1 - 51*j**2 + 45*j**2.
3*j**2*(j - 2)
Factor 6*r + 10 + 1/2*r**2.
(r + 2)*(r + 10)/2
Factor -17*q**2 + 59*q**4 + 4*q**3 - 58*q**4 + 21*q**2.
q**2*(q + 2)**2
Let m(a) = -a**3 + 10*a**2 - 14*a - 5. Let l be m(6). Determine d so that l*d + 19 - 4 + 35*d**2 - 94*d**2 + 39*d**2 = 0.
-1/4, 3
Let l(j) be the first derivative of -j**2 - 11*j - 1. Let w be l(-7). Find y, given that -19*y**3 - 180*y**2 + 343*y**w + 10 - 26 - 128*y = 0.
-2/9, 1
Let x(g) be the third derivative of g**5/160 + 3*g**4/8 - 25*g**3/16 - 104*g**2. Factor x(f).
3*(f - 1)*(f + 25)/8
Let n(g) be the second derivative of -g**5/15 - g**4/2 + 5*g**2/2 + g. Let v(q) be the first derivative of n(q). Factor v(p).
-4*p*(p + 3)
Let m be (-148)/(-15)*(1 + 2). Let i = 30 - m. Factor i*r**5 - 4/5*r**3 - 4/5 - 16/5*r**2 + 4/5*r**4 - 14/5*r.
2*(r - 2)*(r + 1)**4/5
Solve 38*n - 266*n**3 - 36*n**4 - 56*n**3 - 128 + 58*n**3 + 126*n - 644*n - 592*n**2 = 0.
-4, -2, -2/3
Let p(f) be the second derivative of -f**7/504 - f**6/36 - f**5/8 - 11*f**4/12 + 9*f. Let g(c) be the third derivative of p(c). Factor g(q).
-5*(q + 1)*(q + 3)
Let t(m) be the first derivative of -m**8/420 - m**7/70 + m**6/90 + m**5/10 + 4*m**3 - 4. Let p(a) be the third derivative of t(a). Factor p(y).
-4*y*(y - 1)*(y + 1)*(y + 3)
Factor 34*v**3 + 10*v**4 + 75*v - 75*v - 8*v**2 + 20*v**2.
2*v**2*(v + 3)*(5*v + 2)
Let o = 23 - 16. Suppose -5*p - o = -17. Factor 5*c**p + 2*c**4 - 5*c**4 - 16*c**2 - 16*c**2 + 18*c**3.
-3*c**2*(c - 3)**2
Determine f, given that -8 + 2/3*f + 1/3*f**2 = 0.
-6, 4
Let s(y) be the first derivative of 0*y + 10 - 3/4*y**4 + y**3 - 3/5*y**5 + 3/2*y**2. Let s(g) = 0. Calculate g.
-1, 0, 1
Suppose -8*s - 11*s + 2 = 2. Determine p, given that 0 + s*p**2 + 0*p + 3/4*p**4 - 1/4*p**5 - 1/2*p**3 = 0.
0, 1, 2
Let v(z) be the second derivative of -3/10*z**5 + 1/2*z**3 + 0*z**6 + 0*z**4 + 0*z**2 + 0 + 1/14*z**7 - 7*z. Let v(f) = 0. Calculate f.
-1, 0, 1
Factor 4/7 - 6/7*f + 2/7*f**2.
2*(f - 2)*(f - 1)/7
Let k(y) = -13*y + 70. Let t be k(6). Let x(w) = w**3 + 4*w**2 - 31*w + 11. Let j be x(t). Factor 3/8*f**2 - j*f + 6.
3*(f - 4)**2/8
Let d(q) be the third derivative of 0*q + 6/5*q**5 + 8*q**3 + 0 - 4*q**4 - 1/5*q**6 + 9*q**2 + 1/70*q**7. Factor d(x).
3*(x - 2)**4
Let i(k) be the third derivative of 4/9*k**4 - 7*k**2 + 0*k**3 + 0*k - 1/45*k**5 + 0. Factor i(q).
-4*q*(q - 8)/3
Let x(s) = 15*s**2 - 2*s + 1. Let h be x(1). Factor 2*n**2 + 15*n - n**5 - 2*n**4 + 7 + n**4 - h*n**3 - n**4 - 7*n**4.
-(n - 1)*(n + 1)**3*(n + 7)
Let k(c) be the third derivative of 2/3*c**3 + 0 + 0*c**4 + 5*c**2 - 1/900*c**6 + 0*c + 0*c**5. Let w(x) be the first derivative of k(x). Factor w(n).
-2*n**2/5
Let o(r) be the second derivative of r**4/3 + 2*r**3 + 4*r**2 + 395*r. Solve o(d) = 0 for d.
-2, -1
Let r be (-4)/(-2) + (16 - 11) + (-143)/22. Suppose -r*c**3 + 3/2*c**4 + 1/2*c + 1 - 5/2*c**2 = 0. Calculate c.
-1, -2/3, 1
Let v(s) = 3*s**3 - 6*s**2 + s - 4. Let b(h) = -16*h**3 + 31*h**2 - 3*h + 21. Let l(c) = -2*b(c) - 11*v(c). Solve l(q) = 0 for q.
1, 2
Let d(k) be the second derivative of -k**7/1400 + 3*k**6/200 - 3*k**5/40 - 5*k**4/8 + 2*k**3 + 13*k. Let h(n) be the second derivative of d(n). Factor h(a).
-3*(a - 5)**2*(a + 1)/5
Let -22/5*x**3 - 4/5*x**2 - 14/5*x**5 + 0*x - 32/5*x**4 + 0 = 0. What is x?
-1, -2/7, 0
Let h(a) = 4*a**2 - 128*a + 4102. Let o(i) = 11*i**2 - 384*i + 12304. Let b(w) = 8*h(w) - 3*o(w). Solve b(q) = 0 for q.
64
Suppose -k = 5*a - 5*k + 4, 0 = -a - 5*k + 5. Suppose a = -9*t + 2 + 16. Factor -8/7*j**t + 0 + 8/7*j + 2/7*j**3.
2*j*(j - 2)**2/7
Let w be 1/27*(-9018)/(-668). Find r such that -1/3 - w*r - 1/6*r**2 = 0.
-2, -1
Factor 12*t**4 - 94 - 70*t**3 - 700*t + 594 + 218*t**2 - 7*t**4 + 127*t**2.
5*(t - 5)**2*(t - 2)**2
Let x(l) be the first derivative of -28/3*l**3 - 6*l**2 - 4/5*l**5 + 0*l - 5*l**4 - 35. Determine z so that x(z) = 0.
-3, -1, 0
Let x(b) = 6*b**4 + 15*b**3 - 9*b**2 + 3*b + 30. Let o(d) = 3*d**4 + 8*d**3 - 4*d**2 + 2*d + 16. Let s(m) = 9*o(m) - 5*x(m). Let s(z) = 0. Calculate z.
-2, -1, 1
Let p be ((-6)/(-24) - -3)*-34. Let y = p - -111. Factor -y*z**3 + 2*z + 4 - z**2.
-(z - 2)*(z + 2)**2/2
Factor 4/3*i - 2/3*i**2 - 2/3.
-2*(i - 1)**2/3
Let i(a) be the third derivative of 23*a**2 - 1/30*a**4 + 0*a + 0*a**3 + 0 - 1/450*a**5. Find g such that i(g) = 0.
-6, 0
Let g(x) be the second derivative of 7*x**4/32 + 3*x**3/4 + 15*x**2/16 + 46*x + 2. Factor g(q).
3*(q + 1)*(7*q + 5)/8
What is y in 52*y + 7*y**2 + 33*y - 2*y**2 - 110*y = 0?
0, 5
Let x be ((-10)/20 + 1)*0. Let t(a) be the second derivative of 1/20*a**4 - 8*a + 0*a**2 + 1/10*a**3 + x. Determine n, given that t(n) = 0.
-1, 0
Suppose -11 = -3*j - 5*c + 10, -4*j - c = -11. Suppose -3*s**3 + 3*s**3 - 30*s + 20*s**j + 2*s - 4*s**3 + 12 = 0. Calculate s.
1, 3
Let r(s) = -s**3 + 10*s**2 + 7*s. Let k = 6 - 1. Let j(o) = 2*o**3 - 11*o**2 - 8*o. Let u(m) = k*r(m) + 4*j(m). Find p, given that u(p) = 0.
-1, 0
Let o be (-20)/(-24) - (3154/(-3192) + (-6)/14). Factor -o*p**2 - 1/2*p + 0.
-p*(9*p + 2)/4
Suppose 2*o = 3*o - 2. Determine t, given that 15*t**3 - t**4 - 51 + 21*t + 45 - 27*t**2 - o*t**4 = 0.
1, 2
Let a = 68 - -4. Let p be (-2)/(-4) - (-2 + 164/a). Factor -p*s**2 + 4/9*s - 2/9.
-2*(s - 1)**2/9
Let l = -1362 + 6812/5. Factor 6/5 - l*a**2 + 4/5*a.
-2*(a - 3)*(a + 1)/5
Solve 0*r - 18*r**2 + 15/2*r**3 - 3/4*r**4 + 0 = 0 for r.
0, 4, 6
Factor 1/4*o**5 - 3/2*o**3 - 7/2*o**2 - 11/4*o - 3/4 + 1/4*o**4.
(o - 3)*(o + 1)**4/4
Let i = 37 - 86. Let f = i 