 + 4. Factor v(u).
5*u*(u - 1)*(u + 1)**2*(u + 2)
Let q be 2/(380/58) - (-4)/(-38). Factor -3/5*g**2 + 2/5*g + q.
-(g - 1)*(3*g + 1)/5
Let z(k) be the second derivative of -2*k + 0*k**2 - 2/3*k**4 - 1/21*k**7 - 1/3*k**3 + 0 - 4/15*k**6 - 3/5*k**5. Factor z(t).
-2*t*(t + 1)**4
Suppose 3*k = -2*h + 3, 24 = 5*h + k + k. Let u(l) = l - 3. Let c be u(h). Find j, given that -1/3*j + 2/3 + j**4 - 5/3*j**2 + 1/3*j**c = 0.
-1, 2/3, 1
Let a(x) be the first derivative of -49*x**6/9 + 308*x**5/15 - 673*x**4/24 + 283*x**3/18 - 31*x**2/12 + x/6 + 13. Factor a(s).
-(s - 1)**3*(14*s - 1)**2/6
Determine r so that 2*r**3 - r - 2 + r**4 + r**2 - 5*r**3 + 4*r = 0.
-1, 1, 2
Let w be (6/9)/(((-56)/3)/(-7)). Solve -o**3 + w*o**2 + 1/2*o + 0 - 3/4*o**4 = 0.
-1, 0, 2/3
Let 0*s**2 - 4/5*s**3 + 2/5*s**5 + 0*s**4 + 0 + 2/5*s = 0. What is s?
-1, 0, 1
Let g = 107/213 - 12/71. Determine t, given that -1/6*t**2 + g*t - 29/6*t**3 + 14/3*t**4 + 0 = 0.
-1/4, 0, 2/7, 1
Let v(d) = d**3 - d**2 + d. Let b(s) = -8*s**3 + 10*s**2 - 10*s. Let g(o) = b(o) + 10*v(o). Solve g(l) = 0 for l.
0
Let n(a) = 7*a**2 + 27*a + 33. Let w(b) = 6*b**2 + 26*b + 34. Let j(f) = 2*n(f) - 3*w(f). Factor j(z).
-4*(z + 3)**2
Let w(a) = -a**4 + a**3 - a - 1. Let u(g) = -3*g**5 - 6*g**4 - 15*g**3 + 42*g**2 + 18*g - 18. Let v(m) = u(m) + 9*w(m). Suppose v(b) = 0. Calculate b.
-3, -1, 1
Let d(l) be the first derivative of -l**4/14 + 3*l**2/7 + 4*l/7 - 14. Factor d(j).
-2*(j - 2)*(j + 1)**2/7
Let u(n) be the first derivative of n**6/1440 - n**5/240 + n**4/96 - n**3/3 - 1. Let b(h) be the third derivative of u(h). Suppose b(c) = 0. Calculate c.
1
Let x = -2/22575 - 2383918/22575. Let l = -105 - x. Factor l*s**3 + 3/5*s + 6/5*s**2 + 0.
3*s*(s + 1)**2/5
Let x(v) be the third derivative of -v**8/630 - v**7/225 + 7*v**6/450 + 13*v**5/450 - v**4/9 + 4*v**3/45 - 8*v**2. Solve x(n) = 0 for n.
-2, 1/4, 1
Factor -3*z**5 + z**5 - 3*z**3 - 6*z**4 - z**5.
-3*z**3*(z + 1)**2
Let h(l) = -l**2 - l. Let i be h(0). Let q(a) be the first derivative of a**4 + 2 + i*a + 14/3*a**3 - 2*a**2 - 14/5*a**5. Find w, given that q(w) = 0.
-1, 0, 2/7, 1
Let h(t) = t**2 - 7*t - 1. Let n be h(7). Let d be (2 + (0 - 2))*n. Find v such that -8/3*v**3 - 2/3*v**4 - 8/3*v**2 + d + 0*v = 0.
-2, 0
Let h be 3/(9/(-5))*-9. Let c be 4/10*h/3. Factor 2/5*d**3 + 0 + 4/5*d**c + 2/5*d.
2*d*(d + 1)**2/5
Let m(k) be the third derivative of -15*k**8/224 + 11*k**7/84 - k**6/24 - 11*k**2. Suppose m(s) = 0. What is s?
0, 2/9, 1
Let q be (-1)/(-3 - (-24)/9). Solve -7/4*h**2 + 2*h**q + 1/2*h - 3/4*h**4 + 0 = 0 for h.
0, 2/3, 1
Let q(w) be the second derivative of 3/28*w**4 - 1/140*w**5 + 27/14*w**2 - 9/14*w**3 + 0 - w. Factor q(s).
-(s - 3)**3/7
Suppose 0 = 4*n - m + 5 - 16, n + 4 = -2*m. Factor 2/13 - 2/13*k**3 + 2/13*k - 2/13*k**n.
-2*(k - 1)*(k + 1)**2/13
Let f = 24 + -18. Let q(a) be the third derivative of -2/3*a**7 - 14/15*a**5 + 3*a**2 + 0 - 25/168*a**8 + 0*a**3 - 23/20*a**f + 0*a - 1/3*a**4. Solve q(s) = 0.
-1, -2/5, 0
Let l(s) be the first derivative of 1/10*s**5 + 1 - 1/3*s**4 - s + 0*s**2 + 1/3*s**3. Let k(u) be the first derivative of l(u). Let k(g) = 0. What is g?
0, 1
Factor 2 + 4*v + 3/2*v**2 - v**3 - 1/2*v**4.
-(v - 2)*(v + 1)**2*(v + 2)/2
Let y(l) = -l**3 + 3*l**2 + 3*l - 3. Let n be y(3). Let c be (-3)/(-9) - (-60)/36. Solve 2/9*q**3 + 6*q - 2*q**c - n = 0 for q.
3
Let -1/2*p - 1/4*p**2 + 3/4 = 0. Calculate p.
-3, 1
Let v = 2 + 1. Suppose -33 = -4*c + 5*n, -c - 6*n + 2*n = 18. Factor -a**v + 1/2*a - a**c + 1/2*a**5 + 1/2*a**4 + 1/2.
(a - 1)**2*(a + 1)**3/2
Let s(h) be the first derivative of 1/28*h**4 + 10 - 1/21*h**3 + 0*h - 1/7*h**2. Factor s(k).
k*(k - 2)*(k + 1)/7
Let t = 1/92 + 177/644. Let s be 0/((-7 - -3)/4). Factor 0 + 0*q**2 + t*q + 2/7*q**5 + s*q**4 - 4/7*q**3.
2*q*(q - 1)**2*(q + 1)**2/7
Let c(w) be the first derivative of -w**4/18 + 4*w**3/9 - w**2 + 8*w/9 + 38. Let c(r) = 0. Calculate r.
1, 4
Let l = -8 - -11. Suppose -2 - 4 = -l*m. Determine b so that 0 + 1/2*b**m + 0*b = 0.
0
Let a = 127 + -1269/10. Let w(o) be the first derivative of -a*o**4 + 1/5*o**2 - 2/25*o**5 - 2 + 0*o + 2/15*o**3. Let w(u) = 0. Calculate u.
-1, 0, 1
Let v be 28/16 + 8/32*-4. Let -1/4 + 3/4*s - 1/2*s**2 + v*s**4 - 1/2*s**3 - 1/4*s**5 = 0. Calculate s.
-1, 1
Let 3/2*j + 1/2*j**2 + 1 = 0. Calculate j.
-2, -1
Suppose 0 = 4*t - 3*j - 14, -j = -4*t + t + 8. Suppose 2*f = 2*h + t, 6*f = -4*h + 3*f + 17. Factor 0*b + 3*b + 4*b**2 - b**h + 6*b + 6.
3*(b + 1)*(b + 2)
Let j be (-2)/(-1) - 6/15*5. Determine u so that 2/5*u**4 + j*u - 2/5*u**2 + 0 + 0*u**3 = 0.
-1, 0, 1
Let y(a) = 5*a**2 + 68*a + 60. Let s(v) = -5*v**2 - 69*v - 60. Let l(d) = 3*s(d) + 4*y(d). Determine n so that l(n) = 0.
-12, -1
Let o be 5/(-25)*-5*4/6. Factor 1/3*q**2 + o - q.
(q - 2)*(q - 1)/3
Let n be (-6)/(9/3)*-1. Factor 3*o**4 - 10*o**n - 2*o**4 + 10*o**2.
o**4
Factor n**3 + 2*n - 2*n**3 - 5*n**3 + 4*n**3.
-2*n*(n - 1)*(n + 1)
Let m be 9/(-6)*4/(-3). Solve 0*f**3 - f - 2*f**3 + 4*f**m - f = 0 for f.
0, 1
Let q(w) be the first derivative of -w**6/1980 + w**5/660 - 4*w**3/3 + 7. Let a(s) be the third derivative of q(s). Let a(c) = 0. Calculate c.
0, 1
Factor 8/3*o - 2/3*o**2 - 8/3.
-2*(o - 2)**2/3
Let b(x) be the second derivative of 1/20*x**5 + 0*x**2 + 0 + 4*x - 1/30*x**6 + 0*x**3 + 0*x**4. Determine z, given that b(z) = 0.
0, 1
Let w(t) = t - 14. Let k be w(14). Let b be (-8)/16 - (-1 + k). Factor -b - 1/2*q**2 - q.
-(q + 1)**2/2
Let s(v) be the third derivative of 0*v**4 - 1/315*v**7 + 1/504*v**8 + 1/90*v**5 + 0 - 1/180*v**6 + 0*v**3 + 0*v + 2*v**2. Suppose s(l) = 0. Calculate l.
-1, 0, 1
Let p(t) be the first derivative of t**6/150 - 4*t + 2. Let n(z) be the first derivative of p(z). Find s, given that n(s) = 0.
0
Suppose -6 = 5*k - 4*j, -4*j = -2*k - 0*j - 12. Let d = 0 + 0. Factor -4 - k*s**2 + 2 + d + 4*s.
-2*(s - 1)**2
Let c(n) be the second derivative of 3*n**5/100 + n**4/5 + 3*n**3/10 - 14*n. Factor c(i).
3*i*(i + 1)*(i + 3)/5
Let w(d) = -d**3 + d**2 - 3. Let u = -44 - -70. Let g(t) = 4*t**3 - 4*t**2 + 13. Let y = -8 + 14. Let h(b) = u*w(b) + y*g(b). Factor h(m).
-2*m**2*(m - 1)
Let r(v) be the third derivative of -v**5/26 - 4*v**4/39 - 4*v**3/39 - 19*v**2. Factor r(d).
-2*(3*d + 2)*(5*d + 2)/13
Let j(d) be the first derivative of d**4/4 - 5*d**3/3 + d**2/2 - 3*d - 1. Let u be j(5). Factor -2*a - 2*a - 2*a**4 + 3*a**4 - 3*a**4 + 6*a**u.
-2*a*(a - 1)**2*(a + 2)
Determine f so that 11/3*f**3 + 1/3*f + 3*f**2 + 4/3*f**4 - 1/3 = 0.
-1, 1/4
Determine b, given that 0 + 1/2*b**4 - 16*b + 0*b**2 + 3*b**3 = 0.
-4, 0, 2
Let q be 2/(-5) + 440/100. Let i(b) be the third derivative of 1/315*b**7 + 1/9*b**3 - 1/45*b**5 + 0*b + 0*b**q + 0*b**6 - 2*b**2 + 0. Solve i(l) = 0.
-1, 1
Let v be (-87)/145*(-20)/6. Suppose -4*f + 0*w = 4*w + 20, 5*w + 25 = 0. Solve 2/5*t + f - 2/5*t**v = 0.
0, 1
Let u = 4 + -2. Suppose -u*o - 10 = -7*o. Find n, given that 10 - 89*n**2 - 19*n**o - 162*n - 24*n**3 - 91 = 0.
-3/2
Let f(b) = 5*b**5 - 8*b**4 + b**3 - 2*b**2 - 4*b + 4. Let m(v) = v**5 - v**4 - v**3 - v + 1. Let r(s) = -f(s) + 4*m(s). Solve r(j) = 0.
0, 1, 2
Let y(k) = -4*k**2 - 27*k - 5. Let c(x) = x**2 + x - 1. Let g(d) = -19*d**2 - 157*d - 37. Let q(r) = -6*c(r) + g(r). Let i(s) = 6*q(s) - 34*y(s). Factor i(f).
-2*(f + 4)*(7*f + 2)
Let c be ((-66)/(-27) - 2)*6. Find x such that 8*x**3 + 2/3 - c*x - 4/3*x**2 + 6*x**4 = 0.
-1, 1/3
Solve 12/7*d**3 - 16/7*d + 16/7*d**2 - 16/7*d**4 + 4/7*d**5 + 0 = 0.
-1, 0, 1, 2
Let c = 9 - 5. Find q, given that -3*q**4 + c*q**4 + 2*q - 9*q**2 - 3*q**4 + 6*q**3 + 3*q**2 = 0.
0, 1
Suppose -6*n = -4*n - 6. Find g, given that -1/4*g**n + 1/4*g + 0 + 0*g**2 = 0.
-1, 0, 1
Let q(f) = -69*f**3 - f**2 + f + 1. Let t be q(-1). Let o = -269/4 + t. Find w, given that 3/4*w**2 - 3/4 - 3/4*w + o*w**3 = 0.
-1, 1
Solve -3/4*t**2 + 3/4*t - 1/4 + 1/4*t**3 = 0 for t.
1
Let p = -4021/4 + 1014. Let m = -17/2 + p. Factor 0*b + m - 1/4*b**2.
-(b - 1)*(b + 1)/4
Let u(o) = o - o - o**3 + 6*o**2 - 4*o - 3. Let h be u(5). Find f such that -11*f**2 + 10*f**h - f - 5*f**3 + f - 3*f**4 + f = 0.
-1, 0, 1/3
Let m(f) be the third derivative of 4*f**8/105 - 8*f**7/525 - 22*f**6/75 - f**5/3 + f**4/30 + 4*f**3/15 - 3*f**2. Find v, given that m(v) = 0.
-1, -1/2, 1/4, 2
Suppose 5*l - 4 - 6 = 0. Determine k, given that