+ 2/9*l**5 + 0 + 0*l**3 - 4/9*l**2.
2*l*(l - 1)*(l + 1)**3/9
Let u be (-13)/((-1365)/(-730)) - -7. Let n(y) be the first derivative of -u*y**3 + 3 + 1/7*y + 0*y**2. Solve n(x) = 0 for x.
-1, 1
Let g(w) = -2*w**2 - 7*w - 1. Let b be g(-3). Factor -2*p**3 - 3*p**3 - 5*p**4 + 5*p**5 + 30*p**b - 25*p**2.
5*p**2*(p - 1)**2*(p + 1)
Let v(q) be the second derivative of 5*q**6/6 + q**5 - 5*q**4 + 5*q - 23. Factor v(a).
5*a**2*(a + 2)*(5*a - 6)
Let d(s) be the first derivative of -16/15*s**2 + 0*s - 16/15*s**3 - 2/75*s**5 - 3/10*s**4 + 9. Solve d(n) = 0.
-4, -1, 0
Let o(k) = -k**4 + 6*k**3 + k**2 - 6*k - 2. Let f(w) = 4*w**4 - 19*w**3 - 2*w**2 + 19*w + 5. Let v(s) = -4*f(s) - 14*o(s). Factor v(b).
-2*(b - 1)*(b + 1)*(b + 2)**2
Let g(q) be the third derivative of 0*q**6 + 0*q + 7*q**2 + 0 - 4/105*q**7 - 1/84*q**8 + 1/6*q**4 + 2/15*q**5 + 0*q**3. Factor g(x).
-4*x*(x - 1)*(x + 1)**3
Suppose 0 = -26*m + 27*m - 3. Let v(f) = 15*f**2 - 11*f - 4. Let o(u) = 14*u**2 - 10*u - 4. Let b(k) = m*o(k) - 2*v(k). Solve b(w) = 0 for w.
-1/3, 1
What is t in 1 - 1 + 5 - 3*t**3 + 6*t**2 - 5 = 0?
0, 2
Determine l so that 36/13 - 14/13*l**4 - 2*l**3 + 298/13*l**2 - 294/13*l = 0.
-6, 1/7, 1, 3
Let g(v) be the first derivative of -v**6/12 - v**5 - 13*v**4/8 + 10*v**3 - 9*v**2 + 188. Factor g(j).
-j*(j - 1)**2*(j + 6)**2/2
Suppose -4*g = -15 - 1. Suppose -d - g*d + 10 = 0. Factor 13 - 23 + 3*h**d + 10 + 3*h**3.
3*h**2*(h + 1)
Factor -185*w**2 + 47*w**3 - 1841 - 4*w**4 + 53*w**3 - 159*w**2 - 2128*w + 273 - 112*w**2.
-4*(w - 14)**2*(w + 1)*(w + 2)
Let f(d) = 0*d**3 + 8 - 8 + d**3 + 24*d**2 + 6 + 21*d. Let k(t) = 25*t**2 + 20*t + 5. Let g(x) = -5*f(x) + 4*k(x). What is a in g(a) = 0?
-2, -1
Let f(b) be the first derivative of -b**5/10 + 7*b**4/4 - 11*b**3/6 - 13*b**2/2 + 438. Factor f(x).
-x*(x - 13)*(x - 2)*(x + 1)/2
Factor 32*c + 40*c**2 + 66*c**4 - 44*c**4 + 4*c**3 - 26*c**4.
-4*c*(c - 4)*(c + 1)*(c + 2)
What is h in 4/7*h**2 + 236/7 + 474/7*h = 0?
-118, -1/2
Let w(s) be the second derivative of s**6/15 + 19*s**5/25 + 89*s**4/30 + 16*s**3/5 - 36*s**2/5 - 4*s + 25. Suppose w(r) = 0. What is r?
-3, -2, 2/5
Suppose 36*m = 114 - 6. Factor -l + 0*l**2 - 1/2 + l**m + 1/2*l**4.
(l - 1)*(l + 1)**3/2
Let n(k) be the first derivative of k**6/300 + k**5/75 + 23*k**2 + 21. Let o(s) be the second derivative of n(s). Factor o(h).
2*h**2*(h + 2)/5
Suppose -5*a = 2*z + 2*z - 10, a - 2*z = 2. Suppose 18 = a*y + o, -5*o - 22 = -4*y + 14. Solve 2*c + c + 3*c**3 + 3*c**2 - y*c**2 + 0*c = 0 for c.
0, 1
Let r(c) = c**2 - 2*c - 2. Let v be r(-3). Suppose 4*y = -1 + v. Factor -73*q**2 + 109*q - 42*q - 64 + 221*q + 16*q**y - 59*q**2.
4*(q - 4)**2*(4*q - 1)
Suppose 5*b = -26 + 76. Suppose b*s - 35 + 15 = 0. Factor -p + 2/3 - 5/3*p**s.
-(p + 1)*(5*p - 2)/3
Determine w so that -32/7*w + 2/7*w**4 + 0 - 24/7*w**3 + 2/7*w**5 - 8*w**2 = 0.
-2, -1, 0, 4
Let x(l) = 2*l + 22. Let s be x(-11). Suppose 4*q + 3 - 11 = s. Suppose -1/3*g**q - 2/3*g - 1/3 = 0. What is g?
-1
Let w(y) be the second derivative of -y**7/1680 + y**5/60 - y**3 - 29*y. Let g(q) be the second derivative of w(q). Let g(v) = 0. Calculate v.
-2, 0, 2
Let m(r) = r**3 - 20*r**2 + 38*r - 33. Let q be m(18). Factor -a**4 - 1/4*a**5 + 0*a - 1/2*a**2 + 0 - 5/4*a**q.
-a**2*(a + 1)**2*(a + 2)/4
Suppose 5*r + 1 - 5 = 2*p, 0 = -3*p - 3*r + 15. Suppose -4 = p*l + 5, 4*l + 4 = -4*s. Factor -2/11 + 4/11*i - 2/11*i**s.
-2*(i - 1)**2/11
Suppose 192 + 144 = 7*k. Let i = k - 48. Factor i*c**3 - 2/5*c**4 - 6/5*c**5 + 0*c + 0 + 0*c**2.
-2*c**4*(3*c + 1)/5
Let y be (3 - 30/(-9))/((-5)/60). Let s be y/16 + 12 + -7. Factor 1/2*z**2 + 0*z + 0 + 1/4*z**3 - s*z**4.
-z**2*(z - 2)*(z + 1)/4
Let z(s) be the third derivative of 1/60*s**4 - 2/15*s**3 + 0 - 5*s**2 + 1/150*s**5 + 0*s. Let z(n) = 0. Calculate n.
-2, 1
Let g(k) be the third derivative of k**6/600 + k**5/25 + 7*k**4/40 + k**3/3 + 64*k**2. Factor g(v).
(v + 1)**2*(v + 10)/5
Factor 14/3*s**2 + 2/3*s**3 + 4*s + 0.
2*s*(s + 1)*(s + 6)/3
Suppose 0 = 2*j - j - 2. Factor -275*u**3 + u**j + 276*u**3 + 5*u**5 - 6*u**5 - u**4.
-u**2*(u - 1)*(u + 1)**2
Let o(i) be the first derivative of 4*i**3/21 + 12*i**2/7 - 64*i/7 - 72. Factor o(r).
4*(r - 2)*(r + 8)/7
Factor -9 + y - 1/4*y**3 + 9/4*y**2.
-(y - 9)*(y - 2)*(y + 2)/4
Suppose 0 = 4*f + 11 - 39. Factor 0*t**2 + 13 + f + 35*t**2 - 74*t - 6*t.
5*(t - 2)*(7*t - 2)
Let q(x) = 10*x**2 + 11*x + 5. Let s be q(5). Let l = 361 - 217. Find m such that -122*m**3 + 12 - 23*m + 384*m**4 - 5*m - 124*m**2 + s*m**3 - l*m**5 = 0.
-1/2, 1/3, 3
Let w(g) be the second derivative of -g**6/720 - g**5/120 - g**3/3 + 11*g. Let x(i) be the second derivative of w(i). Factor x(s).
-s*(s + 2)/2
Let q(x) be the first derivative of -x**6/180 + x**5/5 - 3*x**4 - 4*x**3/3 - 18. Let u(w) be the third derivative of q(w). Find i such that u(i) = 0.
6
Let l(d) = 2*d**4 + 17*d**3 + 30*d**2 + 18*d - 6. Let m(g) = 2*g**4 + 16*g**3 + 30*g**2 + 18*g - 4. Let n(j) = 2*l(j) - 3*m(j). Factor n(t).
-2*t*(t + 1)*(t + 3)**2
Let q be 26/5 + (-39 - -35). Factor -4/5 + 2/5*g**3 - q*g + 0*g**2.
2*(g - 2)*(g + 1)**2/5
Let b = -5/897 + 4495/1794. Let -625/2 + 375/2*v - 75/2*v**2 + b*v**3 = 0. What is v?
5
Let f(u) be the first derivative of 14*u**3/15 - 26*u**2/5 - 16*u/5 - 255. Solve f(c) = 0 for c.
-2/7, 4
Suppose 4356/5*c + 3/5*c**3 + 31944/5 + 198/5*c**2 = 0. Calculate c.
-22
Suppose -105*u**4 - 106*u**4 + 210*u**4 + 7*u**3 - 32*u - u**3 = 0. Calculate u.
-2, 0, 4
Let y(q) be the third derivative of -q**7/735 + q**6/140 + 2*q**5/105 - 3*q**2 - 31*q. Find f such that y(f) = 0.
-1, 0, 4
Let a be ((-220)/(-132))/((-25)/(-30)). Solve 12/7*s**3 + 8/7*s**a - 8/7 - 12/7*s = 0.
-1, -2/3, 1
Let n(v) = -25*v**4 + 19*v**3 + 15*v**2 - 19*v - 14. Let m(w) = -17*w**4 + 13*w**3 + 11*w**2 - 13*w - 9. Let j(x) = 8*m(x) - 5*n(x). Factor j(g).
-(g - 1)**2*(g + 1)*(11*g + 2)
Let s = -2/3 - -31/42. Let c(b) be the first derivative of s*b**4 - 8/21*b**3 - 4/7*b + 5/7*b**2 - 5. Factor c(p).
2*(p - 2)*(p - 1)**2/7
Suppose 0 = -3*o - 0 + 6. Factor -7*b + b - 50*b**o + 48*b**2.
-2*b*(b + 3)
Let v(x) = 12*x**3 - 162*x**2 + 184*x - 61. Let y(i) = 71*i**3 - 970*i**2 + 1108*i - 367. Let p(c) = 34*v(c) - 6*y(c). Factor p(r).
-2*(r - 16)*(3*r - 2)**2
Let s = 174 + -174. Let l(y) be the first derivative of 8 + 4/3*y**2 - 10/3*y**5 + s*y + 32/9*y**3 + 5/6*y**4. Let l(a) = 0. Calculate a.
-2/5, 0, 1
Let j(w) be the second derivative of w**8/84 + 8*w**7/105 + w**6/6 + 2*w**5/15 + 7*w**2 - 6*w. Let o(r) be the first derivative of j(r). Solve o(d) = 0.
-2, -1, 0
Let g(f) = -f**4 + 4*f**3 - f**2. Suppose k = -6 + 7. Let u(w) = w**4 + w**2. Let o(h) = k*u(h) - g(h). Factor o(z).
2*z**2*(z - 1)**2
Factor -56*v**2 - 8*v**3 - 40 + 72*v**2 + 28*v - 4*v**3 + 8*v**3.
-4*(v - 5)*(v - 1)*(v + 2)
Suppose 4*f + 16 = 4*j - 0*j, 0 = -5*j - 2*f + 20. Factor 8*s - 9*s - s**5 - 7*s**3 + 9*s + 4 + s**2 - 5*s**j.
-(s - 1)*(s + 1)**2*(s + 2)**2
Suppose -i = 2*i - 15. Suppose 0 = 3*s + 4*n + 12, -10 = -5*s + 5*n + i. Factor -g**3 + s*g**3 + 0*g**3 + 0*g**3.
-g**3
Let m(c) = 55*c**2 - 190*c - 1040. Let d(x) = -9*x**2 + 32*x + 173. Let j(t) = 25*d(t) + 4*m(t). Factor j(u).
-5*(u - 11)*(u + 3)
Let z(p) be the first derivative of -30 + 2/3*p**3 + 20*p**2 + 200*p. Factor z(h).
2*(h + 10)**2
Let a(j) be the first derivative of -48*j - 135/2*j**4 - 15*j**5 - 108*j**2 - 19 - 121*j**3. Factor a(c).
-3*(c + 1)**2*(5*c + 4)**2
Let k(n) be the second derivative of 2*n + 0 - 1/40*n**5 - 1/3*n**3 + 0*n**2 - 1/6*n**4. Factor k(x).
-x*(x + 2)**2/2
Let i(v) be the first derivative of v**3/3 + 14*v**2 - 29*v - 144. Factor i(z).
(z - 1)*(z + 29)
Let z(r) be the second derivative of -r**6/30 + r**5/10 + 5*r**4/3 + 4*r**3 + 66*r - 1. Factor z(h).
-h*(h - 6)*(h + 2)**2
What is g in 2*g**2 + 8/3*g + 2/3*g**4 - 8/3 - 8/3*g**3 = 0?
-1, 1, 2
Let o(l) be the first derivative of l**3/18 + 7*l**2/3 + 98*l/3 + 32. Solve o(f) = 0 for f.
-14
Let c(g) = -g + 5. Let j be c(5). Let o(r) be the third derivative of j*r**3 + 0*r**4 + 3*r**2 + 0 - 1/80*r**5 + 0*r. Suppose o(i) = 0. Calculate i.
0
Let s be 12/(-45)*9/(-144). Let n(x) be the third derivative of 1/24*x**4 - s*x**5 + 0*x + 0*x**3 + 3*x**2 + 0. Factor n(g).
-g*(g - 1)
Suppose 430 - 436 = -3*g. Let y(b) be the third derivative of 8*b**g + 0 + 1/20*b*