4 + 5*u + 0. Factor q(w).
3*(w - 1)*(w + 1)/4
Let r = -778/665 + 262/133. Factor 8/5 + r*s**3 + 16/5*s**2 + 4*s.
4*(s + 1)**2*(s + 2)/5
Let q = 2/741 - 1516/12597. Let b = q - -89/34. Let -1 - 3/2*u**2 - b*u = 0. Calculate u.
-1, -2/3
Let h(v) be the third derivative of v**8/1008 + v**7/630 - 11*v**6/120 + 59*v**5/180 - 7*v**4/18 - 32*v**2. Factor h(r).
r*(r - 4)*(r - 1)**2*(r + 7)/3
Suppose -4*w + 4*g = 0, -4*w + 3*g + 2*g = 3. Factor -w*v**3 + 0*v**2 + 3*v**2 + 9 + 7*v + 0*v**3 + 8*v.
-3*(v - 3)*(v + 1)**2
Let z(k) = 0*k**3 - 2*k**3 - 4*k**3 + 7*k**3 - 5*k**2 - 6*k. Let h be z(6). Factor -3/2 + h*v + 3/2*v**2.
3*(v - 1)*(v + 1)/2
Let j(v) be the first derivative of -4*v**3/3 - 6*v**2 - 51. Factor j(u).
-4*u*(u + 3)
Suppose 3*q + 15 = 3*b, 6 = -2*b + 3*q + 16. Let p be (-2)/(-3)*(b + 3/(-6)). Factor -2/9*d**4 + 2/3*d**p - 2/9*d**5 + 10/9*d**2 + 0 + 4/9*d.
-2*d*(d - 2)*(d + 1)**3/9
Let s(o) be the third derivative of o**8/1176 - o**7/147 + o**6/42 - o**5/21 + 5*o**4/84 - o**3/21 + 8*o**2 - 1. Factor s(m).
2*(m - 1)**5/7
Let v(x) = -9*x**4 + 92*x**3 - 26*x**2 - 69*x. Let q(c) = 53*c**4 - 552*c**3 + 156*c**2 + 411*c. Let y(w) = 6*q(w) + 34*v(w). Factor y(d).
4*d*(d - 15)*(d - 1)*(3*d + 2)
Factor -4*q**5 - 16200*q**3 + 379828*q - 420*q**4 - 412004*q**2 - 1560808*q + 149564*q**2 + 4299119 + 2078173.
-4*(q - 3)*(q + 27)**4
Let q be 49/(-28)*(3 - (-92)/(-28)). Let m(b) be the third derivative of -1/20*b**5 + q*b**3 + 0*b**4 + 0 + 0*b - 5*b**2. Factor m(i).
-3*(i - 1)*(i + 1)
Suppose w - 13 = 7. Let i be -2*w/56 - -4 - 3. Solve -i*n - 1/7*n**2 - 1/7 = 0 for n.
-1
Suppose -82/3*h**3 - 221/3*h**2 - 7/3*h**4 + 16 - 98/3*h = 0. Calculate h.
-8, -3, -1, 2/7
Let w = -126 - -21169/168. Let l(g) be the third derivative of 0*g**3 + 0 + 2*g**2 - 1/30*g**5 + 1/105*g**7 + 0*g - w*g**8 + 1/60*g**6 + 0*g**4. Solve l(j) = 0.
-1, 0, 1
Let f = 23 - 11. Let v = -2 - -5. Factor 2*t - 2*t**3 + 10*t**2 + f*t + t**3 + 6 + 3*t**v.
2*(t + 1)**2*(t + 3)
Solve 2/7*h + 2/7 + 2/7*h**5 - 4/7*h**2 - 4/7*h**3 + 2/7*h**4 = 0.
-1, 1
Let o(b) be the first derivative of -b**4/4 + 5*b**3/3 - 4*b**2 + 4*b + 52. Solve o(r) = 0.
1, 2
Let u(c) be the third derivative of c**5/150 - 7*c**4/3 + 980*c**3/3 - 22*c**2. Factor u(s).
2*(s - 70)**2/5
Let i(s) be the first derivative of -3*s**5/100 - 4*s + 11. Let m(z) be the first derivative of i(z). Let m(w) = 0. What is w?
0
Factor 19/7*f - 6 + 1/7*f**2.
(f - 2)*(f + 21)/7
Factor 1/5*a**2 - 21/5*a + 16.
(a - 16)*(a - 5)/5
Let b = 83 - 58. Let c be 5/10*30/b. Suppose 1/5 - 1/5*k**3 - c*k**2 + 1/5*k + 2/5*k**4 = 0. Calculate k.
-1, -1/2, 1
Let l = -38 + 54. Suppose 4 - l = -4*m. Solve z**m + 2*z**2 - 4*z + 2*z - 2 + z**3 = 0 for z.
-1, 1
Let j(x) = x**4 - 4*x**2 + x. Let t(s) = 20*s**3 - 24*s**2 - 28*s. Let p(r) = -4*j(r) + t(r). Factor p(k).
-4*k*(k - 4)*(k - 2)*(k + 1)
Let u(y) be the second derivative of y**4/72 + 17*y**3/9 - 35*y**2/3 + 8*y - 4. Factor u(m).
(m - 2)*(m + 70)/6
Let i(u) be the third derivative of u**7/525 - u**5/150 - 75*u**2. Factor i(t).
2*t**2*(t - 1)*(t + 1)/5
Let p(b) be the second derivative of b**7/3780 + b**6/180 + b**5/20 + b**4/6 + 22*b. Let r(j) be the third derivative of p(j). Factor r(v).
2*(v + 3)**2/3
Let j(s) be the first derivative of -s**3/2 - 27*s**2/4 + 15*s - 228. Factor j(t).
-3*(t - 1)*(t + 10)/2
Suppose 0 = 2*c - 2*y, 26*c + 3 = 30*c - 3*y. Let h(d) be the first derivative of -2*d**2 + 2*d + c - 2/5*d**5 + 0*d**3 + d**4. Find t such that h(t) = 0.
-1, 1
Let r be ((-8)/(-10))/(4/30). Let c = r + -1. Let 15*p**4 - 3*p**c + p - 24*p**3 + 12*p**2 + 0*p**5 - p = 0. Calculate p.
0, 1, 2
Let i(b) be the second derivative of -3*b**5/100 + 47*b**4/20 + 25*b - 5. Factor i(a).
-3*a**2*(a - 47)/5
Let l(h) be the third derivative of -h**8/2016 - 31*h**7/1260 + 11*h**6/240 + 31*h**5/360 - 2*h**4/9 - 492*h**2. Suppose l(p) = 0. What is p?
-32, -1, 0, 1
Let t(g) be the second derivative of -2/9*g**3 + 1/18*g**4 + 0 + 10*g + 0*g**2. Factor t(n).
2*n*(n - 2)/3
Let u be 10/12 - (182/21 - 8). Let q(b) be the second derivative of 1/6*b**3 + u*b**2 + 0 + 1/60*b**5 + 1/12*b**4 + 4*b. Suppose q(y) = 0. What is y?
-1
Let m(f) be the first derivative of f**8/560 - f**7/140 - f**6/30 + f**5/20 + 3*f**4/8 + f**3 - 27. Let w(s) be the third derivative of m(s). Factor w(u).
3*(u - 3)*(u - 1)*(u + 1)**2
Let g be ((-3)/(-2))/(2/(-4)). Let l be (-2 + (-6)/g)/(4/2). Determine t, given that 0 + 0*t**3 + l*t + 0*t**2 - 1/4*t**5 - 1/4*t**4 = 0.
-1, 0
Suppose -2 = 11*v - 35. Let y(o) be the first derivative of -2*o**2 - 11 + 0*o - 4/3*o**v. Factor y(x).
-4*x*(x + 1)
Factor 28/3*m - 16/3*m**3 + 8/3 - 20/3*m**2.
-4*(m - 1)*(m + 2)*(4*m + 1)/3
Let x(j) be the second derivative of -j**7/63 - 7*j**6/45 - 8*j**5/15 - 2*j**4/3 + 20*j + 8. Solve x(y) = 0.
-3, -2, 0
Factor 12*l**3 + 16 - 18*l**3 - 12*l**2 - 5*l**4 + 18*l + 6*l + 11*l**4 - 8*l**3.
2*(l - 2)**2*(l + 1)*(3*l + 2)
Let d(z) be the first derivative of -z**6/360 + z**5/120 + z**4/12 - 2*z**3/3 - 15. Let n(a) be the third derivative of d(a). Let n(y) = 0. What is y?
-1, 2
Let m(p) be the third derivative of 0 - 1/25*p**5 + 0*p**3 - 1/150*p**6 + 0*p - 1/15*p**4 + 4*p**2. Determine u so that m(u) = 0.
-2, -1, 0
Let j(t) = t**3 - 9*t**2 + 3*t + 43. Let b be j(8). Factor -k**b + 0*k**3 - 15*k + 3*k - 10*k**2 + 72.
-(k - 2)*(k + 6)**2
Find d such that -6/5*d**2 - 21/5*d**3 + 0 + 0*d - 3*d**4 = 0.
-1, -2/5, 0
Suppose -7/5*s**2 + 2/5 - 3/5*s + 3/5*s**3 + s**4 = 0. Calculate s.
-1, 2/5, 1
Let v = 51 + -50. Factor 3*t**2 + 2 - 6*t - 5*t + 5*t + v.
3*(t - 1)**2
Let u(f) = f**3 - 4*f**2 + 25*f - 454. Let n be u(8). Find r, given that 0*r - 3/7*r**n + 3/7 = 0.
-1, 1
Factor 25*k - 24*k**3 - k**5 - 14*k**4 + 5*k**2 - 5*k**2 + 2*k**2 + 12.
-(k - 1)*(k + 1)**3*(k + 12)
Let q(g) be the third derivative of -g**7/735 - g**6/42 - 16*g**5/105 - 8*g**4/21 + 137*g**2. Find r such that q(r) = 0.
-4, -2, 0
Let j(z) = -39*z**4 + 1064*z**3 - 8425*z**2 - 6929*z. Let x(m) = 20*m**4 - 532*m**3 + 4212*m**2 + 3464*m. Let k(p) = -4*j(p) - 7*x(p). Factor k(i).
4*i*(i - 17)**2*(4*i + 3)
Let x(q) = 55*q + 4. Let n be x(0). Find o, given that -2*o + 2/3*o**5 + 4/3*o**3 - 2/3 + 2*o**n - 4/3*o**2 = 0.
-1, 1
Suppose 2*i + 12 = -0*i - 4*r, -8 = 2*i + 3*r. Let t(c) be the first derivative of 1/12*c**4 + 0*c**i + 2 + 0*c + 1/15*c**5 + 0*c**3. Factor t(q).
q**3*(q + 1)/3
Suppose 60 = 2*y - 28. Find g, given that -4*g**2 + y*g - g**2 - 34*g = 0.
0, 2
Let g(u) be the third derivative of u**6/300 + 7*u**5/150 + 7*u**4/60 - u**3 - 94*u**2. Factor g(a).
2*(a - 1)*(a + 3)*(a + 5)/5
Let j(a) = -a**2 + 3*a + 6. Let s be j(-2). Let b be 6*(s/5)/(-4). Suppose -3*o - 12/5*o**2 - b - 3/5*o**3 = 0. What is o?
-2, -1
Suppose -7 = -6*q + 5. Factor 15 - 18 + 10*l**q + 2*l**2.
3*(2*l - 1)*(2*l + 1)
Suppose 56*b = 64*b. Let y(r) be the third derivative of 0*r**3 + 0*r + 1/30*r**5 + 1/12*r**4 + b + 7*r**2 - 1/105*r**7 - 1/60*r**6. Factor y(k).
-2*k*(k - 1)*(k + 1)**2
Let t(r) = -r**3 + 2*r**2 + 7*r - 9. Let d be t(3). Solve -27*a + 7*a**3 + 0*a**2 - 22*a**3 - d*a**2 - 9*a**4 + 30*a = 0 for a.
-1, 0, 1/3
Let w(i) = 25*i**2 - 78*i - 24. Let t(a) = -a**2. Suppose 5*s - 4*v - 16 + 4 = 0, -4*s - 4*v = -24. Let l(k) = s*t(k) + w(k). Determine r, given that l(r) = 0.
-2/7, 4
Let d be (-2)/(-12) - 5*3/90. Let 8*h - 8*h**3 - 4*h**4 - 6 + 7 + 3 + d*h**4 = 0. Calculate h.
-1, 1
Suppose -3*t + 6 = -2*j, 0 = -0*t - t - 3*j + 2. Let u be 2244/4760 - 1/14. What is q in -u + 2*q - 8/5*q**t = 0?
1/4, 1
Let t(y) be the first derivative of 2*y**5/35 - 15*y**4/14 + 32*y**3/7 + 64*y**2/7 - 100. Factor t(m).
2*m*(m - 8)**2*(m + 1)/7
Let a = 25774 - 128861/5. Factor a*c**3 + 6/5*c**2 - 12/5 - 3*c.
3*(c + 1)**2*(3*c - 4)/5
Let v(w) = -w**3 - w**2. Let x(b) = 3*b**2 + 3*b. Let s be (-2)/(-2 + 0 + 4). Let p(n) = s*x(n) - 3*v(n). Suppose p(o) = 0. Calculate o.
-1, 0, 1
Let n(u) be the first derivative of -u**3/9 - 41*u**2/3 - 1681*u/3 + 8. Factor n(t).
-(t + 41)**2/3
Suppose -1 + 2 = k + x, 0 = -k + 4*x + 6. Let r be (4 - 0) + k/(-2). Solve r + 6*m**2 - 7 - 3*m**2 + 4*m = 0.
-2, 2/3
Suppose -1/2*j**4 - 18769/2 + 18906*j - 9659*j**2 + 138*j**3 = 0. Calculate j.
1, 137
Let -97/3*d**2 + 125/3*d + 6 + 25*d**4 - 1345/3*d**3 = 0. What is d?
-1/5, 1/3, 18
Find n such that -6*n**4 + 