rivative of 2*r**3/21 - 11*r**2/7 + 36*r/7 - 457. Factor a(w).
2*(w - 9)*(w - 2)/7
Suppose -2*l - 2*t + 18 = 0, 4*t + 9 = 3*l - 2*l. Suppose -p - l = -4*p. Solve -6*u**2 - p*u - 6*u**2 + 0*u**2 = 0 for u.
-1/4, 0
Let a(n) be the first derivative of n**6/40 + n**5/20 - n**4/2 - 2*n**3 + 5*n**2 + 3. Let i(j) be the second derivative of a(j). Factor i(h).
3*(h - 2)*(h + 1)*(h + 2)
Let x = -2637/28 + 379/4. Determine h, given that -4/7 - x*h**2 + 8/7*h = 0.
1
Factor -6/5*l**3 - 12/5 + 0*l**2 + 18/5*l.
-6*(l - 1)**2*(l + 2)/5
Let y be 5/(-2)*1440/(-3000). Solve 2/5*f**3 + 4/5 + 0*f**2 - y*f = 0 for f.
-2, 1
Let m(v) be the second derivative of 0 - 22*v + 0*v**3 + 0*v**2 + 0*v**6 + 0*v**4 - 1/150*v**5 + 1/315*v**7. Factor m(j).
2*j**3*(j - 1)*(j + 1)/15
Let w be -5*-3*3/15. Suppose 9 = -w*z - 24. Let r(t) = -17*t**2 + 3*t + 23. Let d(v) = 9*v**2 - v - 12. Let j(s) = z*d(s) - 6*r(s). Factor j(q).
(q - 3)*(3*q + 2)
Let v(b) = -b**3 + 13*b**2 - 72*b + 936. Let x be v(13). Suppose 4*m + 4*u = -6 + 14, -5*u - 8 = -m. Factor 0*h - 6/5*h**m + 0*h**2 + x + 3/5*h**4.
3*h**3*(h - 2)/5
Suppose -2*o - 9 + 13 = 0. Factor -45*m + 15*m - 20 - 15 + 47*m**2 - 42*m**o.
5*(m - 7)*(m + 1)
Let h(v) be the second derivative of -1/3*v**3 + 16*v + 1/2*v**2 + 1/16*v**4 + 0. Factor h(f).
(f - 2)*(3*f - 2)/4
Let n(z) be the second derivative of z**6/15 - z**5/5 - 4*z**4/3 - 12*z + 1. Factor n(u).
2*u**2*(u - 4)*(u + 2)
Suppose 0 = 5*p + s - 0*s - 22, p + 4*s - 12 = 0. Let w be (3/(-63) - -1) + p/(-6). Determine g, given that -4/7 + 6/7*g**2 - 2/7*g - 2/7*g**4 + w*g**3 = 0.
-1, 1, 2
Let z(j) be the third derivative of 0 + 5/3*j**3 - 1/12*j**5 - 5/24*j**4 + 6*j**2 + 0*j. What is t in z(t) = 0?
-2, 1
Let v(c) be the third derivative of -c**7/70 + c**6/20 + 3*c**5/20 - c**4/2 - 2*c**3 - 8*c**2. Solve v(x) = 0 for x.
-1, 2
Suppose -2*t = 2*t + z - 22, t = z + 3. Suppose t*f = -0*p + 4*p + 42, -p - 21 = -3*f. Factor 3*u**3 + 5*u**3 - 11*u**3 + f*u**2.
-3*u**2*(u - 2)
Let g(u) = -u**2 + 21*u - 7. Let t be g(20). Suppose -21*n + 29 = -t. Factor 0 - 12/19*o**4 - 2/19*o**5 - 8/19*o - 26/19*o**3 - 24/19*o**n.
-2*o*(o + 1)**2*(o + 2)**2/19
Suppose -2*v - 5*r + 31 = -0*v, -2 = v - r. Let p(c) be the first derivative of -c**2 - 4 + 2/3*c**v + 0*c. Factor p(m).
2*m*(m - 1)
Let f be 4/(-6)*-15*1. Let s be 9/36 + 119/4. Solve 4 + 0 + f*n + s*n**2 - 32*n = 0 for n.
1/3, 2/5
Let p(l) be the second derivative of 7*l**6/15 + 71*l**5/5 + 370*l**4/3 + 200*l**3/3 - l + 25. Factor p(h).
2*h*(h + 10)**2*(7*h + 2)
Factor 224*i**2 - 66 + 740*i + 166 + 146 - 9*i**3 + 322*i**2 + 2.
-(i - 62)*(3*i + 2)**2
Suppose -45*o + 7*o**2 - 12*o**2 + 1 - 1 = 0. What is o?
-9, 0
Suppose 0 = -6*z - 307 - 89. Let o be ((-144)/z + -3)*-4. Factor 0 + 10/11*s**4 + 24/11*s**2 - 16/11*s + o*s**3.
2*s*(s + 2)**2*(5*s - 2)/11
Let u(g) be the third derivative of g**8/360 - g**7/105 + g**6/180 + g**5/90 - 10*g**3/3 - 22*g**2. Let b(p) be the first derivative of u(p). Factor b(h).
2*h*(h - 1)**2*(7*h + 2)/3
Let r = 115 + -113. Factor 44*u**r - 42*u**2 - 5*u - 3*u.
2*u*(u - 4)
Factor 8*n**2 - 9*n**2 - 203*n + 200*n + 3*n**2 + n**3.
n*(n - 1)*(n + 3)
Let k = -60/13 + 378/65. Suppose 13 + 7 = 5*z. Factor -8/5*p**2 + k*p**z + 0*p + 18/5*p**5 + 0 - 16/5*p**3.
2*p**2*(p - 1)*(3*p + 2)**2/5
Solve -13 + 17*h - 3*h + 3*h**2 + 13*h - 17 = 0.
-10, 1
Let b(o) = -5 - 3*o + 2 + o - 11. Let t be b(-8). Find l, given that -9*l**t - 6*l**2 + 20*l**2 = 0.
0
Let n(c) = -6*c**3 - 9*c**2 + c. Let g(m) = 65*m + 57*m - 121*m. Let k(z) = -5*g(z) - n(z). Factor k(t).
3*t*(t + 2)*(2*t - 1)
Let c = 27844/5 + -167059/30. Determine q, given that -3/2 + 5/6*q**2 - c*q**3 - 1/2*q = 0.
-1, 3
Solve -4/7*i - 2*i**5 + 0 - 54/7*i**3 - 26/7*i**2 - 46/7*i**4 = 0 for i.
-1, -2/7, 0
Let o be 12 - (11 + (-80)/(-90)). Factor 2/3*g**3 + 1/3 + 4/3*g**2 + o*g**4 + 10/9*g.
(g + 1)**3*(g + 3)/9
Let r(u) be the third derivative of u**6/60 - 17*u**5/15 + 65*u**4/12 - 32*u**3/3 + 2*u**2 - 269*u. Let r(f) = 0. Calculate f.
1, 32
Let o(l) = -7*l**2 + 107*l + 2. Let f(c) = -9*c**2 + 105*c + 3. Let m(x) = -2*f(x) + 3*o(x). Factor m(g).
-3*g*(g - 37)
Factor -3*u**3 + 8306*u**2 - 8309*u**2 + 10*u - 4*u.
-3*u*(u - 1)*(u + 2)
Let q be -21 + 23 + (25 - (-4)/(-2)). Suppose 2*h - 9*w = -4*w + 15, -4*h + 5*w + q = 0. Factor 15/2*m**2 - 15/4*m + 15/4*m**4 + 3/4 - 3/4*m**h - 15/2*m**3.
-3*(m - 1)**5/4
Let i be (-2)/(-16) - (-1 - (-14)/(-16)). Let z(l) be the first derivative of -1 + 2/13*l**i - 2/39*l**3 - 2/13*l. Factor z(s).
-2*(s - 1)**2/13
Factor -2 - 1/3*o**2 + 5/3*o.
-(o - 3)*(o - 2)/3
Suppose -1428*d**5 + 0*d**3 - 3*d + 1425*d**5 + 6*d**3 = 0. Calculate d.
-1, 0, 1
Let g(t) be the second derivative of -49*t**5/90 - 329*t**4/27 + 388*t**3/27 - 56*t**2/9 + 3*t + 20. Determine y, given that g(y) = 0.
-14, 2/7
Determine j, given that 8/11 - 8*j**2 - 18/11*j**3 - 62/11*j = 0.
-4, -1, 1/9
Solve 164*m + 200*m**2 + 4 - 41*m**3 + 50*m**3 + 46*m**3 + 56*m + 76 - 5*m**5 - 10*m**4 = 0 for m.
-2, -1, 4
Suppose 55*c - 36 = -71*c + 114*c. What is a in 0*a - 4/3*a**2 + 0 - 4/3*a**c = 0?
-1, 0
Let m be 14/(-3)*2398/(-44) + 3. Let v = -256 + m. Suppose -2*s**5 + 0*s + 2*s**3 + v*s**2 - 4/3*s**4 + 0 = 0. What is s?
-1, -2/3, 0, 1
Let x be ((1 + 1)/40)/((-2580)/(-2150)). Let d(f) be the third derivative of -1/42*f**7 + x*f**6 + 1/12*f**5 + 0*f**3 + f**2 - 5/24*f**4 + 0 + 0*f. Factor d(p).
-5*p*(p - 1)**2*(p + 1)
Let m(k) be the third derivative of 0*k + 0*k**3 + 0 - 1/1680*k**8 + 19*k**2 + 1/15*k**4 + 23/300*k**5 + 1/210*k**7 + 7/200*k**6. Factor m(q).
-q*(q - 8)*(q + 1)**3/5
Let w(g) be the third derivative of g**8/168 + 2*g**7/105 + 120*g**2 + 2*g. Factor w(j).
2*j**4*(j + 2)
Let z be (1/(-3))/(5/(-45)). Determine p, given that 3*p**2 - 9*p**z - p**4 - 97 + 9*p + 97 - 2*p**4 = 0.
-3, -1, 0, 1
Let n(h) be the third derivative of -h**8/1176 + 2*h**7/147 - h**6/14 + 4*h**5/21 - 25*h**4/84 + 2*h**3/7 - 419*h**2. Determine z so that n(z) = 0.
1, 6
Let q(n) be the second derivative of 0 + 1/3*n**2 + 31*n - 1/72*n**4 + 1/12*n**3. Find c such that q(c) = 0.
-1, 4
Suppose 16 = 5*r - 2*c, -4*r - 3*c = -5*r - 2. Suppose r = -6*j + 28. Let -8 - 4*m - j*m**3 + 4*m**3 + 8*m**2 + 4*m**3 = 0. What is m?
-2, -1, 1
Suppose 4*s - b = -36, s + 5*b - 18 = 3*s. Let k = s - -13. Let 21*y**3 + 16*y**2 - y**4 - 10*y**2 + 4*y**4 + 12*y**k = 0. Calculate y.
-1, -2/5, 0
Let f = 62 + -59. Determine h so that -13*h**f - 12*h**3 - 23*h**3 - 4*h**4 + 10*h**5 + 2*h**5 + 16*h**2 = 0.
-2, 0, 1/3, 2
Let i(s) be the first derivative of 2*s**6/35 + 2*s**5/7 + 25*s**4/42 + 5*s**3/3 - 30. Let z(t) be the third derivative of i(t). Let z(l) = 0. Calculate l.
-5/6
Solve 939*q**2 - 51*q**5 + 468*q**4 - 28*q**5 - 21 + 55*q**5 - 1074*q**3 + 54 + 18 - 360*q = 0 for q.
1/2, 1, 17
Suppose 0 = -18*k - 20*k. Solve d**2 + k - 3/2*d - 1/6*d**3 = 0 for d.
0, 3
Let o(z) = -z + 1. Let d(k) = -2*k**3 - 100*k**2 - 1248*k - 2. Let m(x) = -d(x) - 2*o(x). Factor m(i).
2*i*(i + 25)**2
Factor 0*v + 0*v**2 + 0 - 14/9*v**4 - 2/9*v**5 + 16/9*v**3.
-2*v**3*(v - 1)*(v + 8)/9
Let a be (-34)/68*(-4)/17. Solve -a*g - 2/17*g**2 + 0 = 0.
-1, 0
Suppose 5*j + p - 7 = -0*p, p + 3 = 0. Factor -h**j - 7 + 0*h + 3*h + 5*h.
-(h - 7)*(h - 1)
Let m(i) be the first derivative of 8*i**7/35 - i**6 + 33*i**5/20 - 5*i**4/4 + i**3/2 - 4*i**2 - 11. Let a(p) be the second derivative of m(p). Factor a(s).
3*(s - 1)**2*(4*s - 1)**2
Let q(n) = 4*n**4 + 29*n**3 - 36*n**2 + 3*n - 3. Let b(x) = -4*x**4 - 28*x**3 + 36*x**2 - 4*x + 4. Let c(u) = -3*b(u) - 4*q(u). Factor c(h).
-4*h**2*(h - 1)*(h + 9)
Let g be (3 - ((-33)/(-9) - 0))*-3. Suppose -2*b = -6 + g. Factor -2/3*y**b + 0 + 4/3*y - 2/3*y**3.
-2*y*(y - 1)*(y + 2)/3
Suppose 4*u = -5*q + 15 + 2, -5 = -5*q. Suppose 3*l - k - u = 0, -k = 2*l + 4*k - 19. Let 3/2 + 3/4*x - 3/2*x**l - 3/4*x**3 = 0. What is x?
-2, -1, 1
Let c be (-5)/3 - 36/6*(-37)/111. Suppose 0 = -3*s + 4*s - 4. Factor -1/3*j**5 + 0 + 0*j**s - c*j + 2/3*j**3 + 0*j**2.
-j*(j - 1)**2*(j + 1)**2/3
Let b(v) = -13*v**4 + 21*v**2 - 11*v + 3. Let k(g) = 7*g**4 - 11*g**2 + 6*g - 2. Let m = 72 - 61. Let q(s) = m*k(s) + 6*b(s). Determine x so that q(x) = 0.
-2, -1, 1, 2
Let m(y) be the first derivative of 5/3*y**3 + 0*y**4 + 2 + 0*y + 0*y**2 - 1/360*y**6 - 1/120*y**5. Let h(c) be the thir