 g such that 1/5*g - 2/5 + 1/5*g**s = 0.
-2, 1
Let i(g) = 17*g**2 + 155*g + 570. Let d(z) = 6*z**2 + 52*z + 190. Let k(t) = 11*d(t) - 4*i(t). Factor k(w).
-2*(w + 5)*(w + 19)
Let y(s) be the second derivative of -5*s**4/12 - 125*s**3/3 - 3125*s**2/2 - 88*s. Factor y(j).
-5*(j + 25)**2
Let g be 5/(-30)*(33/6 - 7). Let k(v) be the second derivative of -g*v**4 - 1/30*v**6 + 0 + 3/20*v**5 + 1/6*v**3 + 0*v**2 + 7*v. What is m in k(m) = 0?
0, 1
Suppose -36 = -5*g - 7*g. Let n(o) be the second derivative of -1/45*o**6 + 1/30*o**5 + 0*o**2 + 0 + 1/9*o**4 - 4*o + 0*o**g. Factor n(z).
-2*z**2*(z - 2)*(z + 1)/3
Suppose 94 = -262*t + 880. Let -9/2*q + 0 + 53/4*q**4 - 39/2*q**2 - 73/8*q**t - 21/8*q**5 = 0. Calculate q.
-2/3, -2/7, 0, 3
Let w(a) be the first derivative of -1 + 77/10*a**4 + 174/25*a**5 + 12/5*a + 4/3*a**6 - 5*a**2 - 14/5*a**3. Suppose w(k) = 0. What is k?
-3, -1, 1/4, 2/5
Let u(l) be the second derivative of -l**5/80 - l**4/8 - 11*l**3/24 - 3*l**2/4 + 9*l + 2. Let u(b) = 0. What is b?
-3, -2, -1
Let f = 41 + -38. Let c(a) = 0*a**3 + 3*a**f - 2*a**3 + 1 - a**2. Let g(n) = 3*n**4 + 18*n**3 - 24*n**2 + 21. Let q(z) = -18*c(z) + g(z). Factor q(m).
3*(m - 1)**2*(m + 1)**2
Let a(c) be the third derivative of 0 + 5/336*c**8 - 7/12*c**5 + 0*c + 5/12*c**4 + 5*c**2 + 0*c**3 + 3/8*c**6 - 5/42*c**7. Solve a(s) = 0 for s.
0, 1, 2
Let o(q) be the second derivative of 5/42*q**7 - 5/12*q**4 + 20*q + 0 + 3/4*q**5 + 0*q**3 + 0*q**2 - 1/2*q**6. Factor o(p).
5*p**2*(p - 1)**3
Determine u, given that -5*u**5 - 994/5*u**2 - 396/5*u - 1049/5*u**3 - 56/5 - 84*u**4 = 0.
-14, -1, -2/5
Factor 0*m**2 + 0*m + 0 - 2/5*m**4 + 4/5*m**3 - 2/5*m**5.
-2*m**3*(m - 1)*(m + 2)/5
Let y be 2/6*(12 - 0). Suppose -4*i + 80*i**2 + 35*i**5 - i - 10 + 157*i**3 + 130*i**y + 13*i**3 = 0. What is i?
-1, 2/7
Let g(h) be the first derivative of -3/10*h**2 + 3/20*h**4 - 1/5*h**3 + 8 + 3/5*h. Let g(c) = 0. What is c?
-1, 1
Let g be (-4)/2 + 6 + (60 - 58). Let i(n) be the first derivative of 0*n + n**2 - 1/2*n**4 - g + 0*n**3. Factor i(x).
-2*x*(x - 1)*(x + 1)
Suppose -5*c + 2*g + 31 = 0, 124*c - 119*c = g + 28. Find y such that 0*y - 8/7*y**2 - 2/7*y**c + 0 + 0*y**3 + 6/7*y**4 = 0.
-1, 0, 2
Let g = -19482 + 19484. Find i such that 3/5*i**g + 1/5*i**4 + 0 - 3/5*i**3 - 1/5*i = 0.
0, 1
Let h = 37 + -32. Factor -h*y - 9 + 2*y**2 + 7 + 2*y**3 + 3*y.
2*(y - 1)*(y + 1)**2
Let k = 41 + -56. Let d be ((-8)/21)/(10/k). Factor -2/7*t**4 + d*t**2 + 24/7*t - 18/7 - 8/7*t**3.
-2*(t - 1)**2*(t + 3)**2/7
Let b(d) = -d**2. Let z = -1 - 0. Let i(v) = -5*v**2 + 14*v - 12. Let h(y) = z*i(y) + 3*b(y). Factor h(g).
2*(g - 6)*(g - 1)
Let p(r) be the first derivative of -1/18*r**6 - 1/5*r**5 + 1/12*r**4 + 0*r + 0*r**2 + 1/3*r**3 + 22. Suppose p(b) = 0. What is b?
-3, -1, 0, 1
Solve 33/8*h**2 - 9/8*h**4 - 3/8*h**5 - 3 + 21/8*h**3 - 9/4*h = 0 for h.
-4, -1, 1, 2
Suppose 2/13*b**2 + 30/13*b - 108/13 = 0. Calculate b.
-18, 3
Let a(l) be the first derivative of -l**6/600 + l**5/150 - l**4/120 - 5*l**2/2 + 13. Let d(g) be the second derivative of a(g). Suppose d(c) = 0. Calculate c.
0, 1
Suppose -3 = -4*k + 13. Suppose -k + 2 = -v. Factor 2/5*s + 2/5*s**v - 4/5.
2*(s - 1)*(s + 2)/5
Let k(x) = x**2 - 49*x - 53. Let t(i) = -2*i**2 + 50*i + 54. Let o(s) = 2*k(s) + 3*t(s). Suppose o(p) = 0. Calculate p.
-1, 14
Factor 14*p + 4*p - 7*p**2 - 36 + 30*p - 9*p**3 + 22*p**2.
-3*(p - 3)*(p + 2)*(3*p - 2)
Let j(p) = -p**2 + p + 1. Let d(m) = m + 2. Let w = 0 - -5. Suppose -8 = 3*k - w. Let f(r) = k*d(r) - j(r). Factor f(v).
(v - 3)*(v + 1)
Let n be (-7)/(28/(-12)) - -20. Let v = -7 + n. Factor -2*l + v*l**2 - 10*l**2 + 2*l**2 + 3*l**4 + l**4 - 10*l**3.
2*l*(l - 1)**2*(2*l - 1)
Let c(z) be the second derivative of -z**5/5 - 2*z**4/3 + 9*z - 1. Factor c(v).
-4*v**2*(v + 2)
Suppose -4*t - 30 = 22. Let y(q) = -2*q - 24. Let u be y(t). Factor 4*s**3 - 2*s**u - 1 - 3*s - s - 1 + 4.
2*(s - 1)*(s + 1)*(2*s - 1)
Solve -255/2*d**2 - 8*d**4 - 174*d**3 - 21/8 - 253/8*d = 0.
-21, -1/4
Let d(c) = -2*c**2 + 10*c + 2. Let s(f) = -2*f**2 + 11*f + 3. Let b(u) = -3*d(u) + 2*s(u). Solve b(q) = 0 for q.
0, 4
Let s = 17/474 + 2725/3318. Solve s + 3/7*o**2 - 9/7*o = 0 for o.
1, 2
Let r(p) = -34*p + 102. Let k be r(3). Solve k - 1/3*s + 0*s**4 - 1/3*s**5 + 2/3*s**3 + 0*s**2 = 0.
-1, 0, 1
Let c(r) be the first derivative of r**4/8 + 37*r**3/18 + r**2 + 227. Suppose c(z) = 0. What is z?
-12, -1/3, 0
Let k(d) be the third derivative of -d**8/216 - 2*d**7/945 + 7*d**6/36 - 4*d**5/27 - 47*d**4/27 - 16*d**3/9 + 128*d**2. Let k(i) = 0. What is i?
-4, -1, -2/7, 2, 3
Let f(d) = -5*d**2 - 14*d. Let n(s) = 4*s**2 + 12*s. Let t(c) = 3*f(c) + 4*n(c). Let t(m) = 0. What is m?
-6, 0
Let i(y) be the first derivative of 0*y - 1/24*y**4 + 1/36*y**6 - 1/15*y**5 + 0*y**2 + 2 + 1/9*y**3. Factor i(r).
r**2*(r - 2)*(r - 1)*(r + 1)/6
Let f be 7 - 41/(-12)*-2. Let p(s) be the first derivative of -1 + 1/2*s**2 + f*s**3 + 0*s. What is j in p(j) = 0?
-2, 0
Let s = 253/316 + -1/1580. Let y(q) be the first derivative of -11/10*q**2 + 12 - 1/20*q**4 + 3/5*q**3 - 1/25*q**5 + s*q. Factor y(w).
-(w - 1)**3*(w + 4)/5
Factor -2/9*x**2 + 16/9*x + 32/3.
-2*(x - 12)*(x + 4)/9
Let y = -21/2 + 11. Let q(n) = -26*n + 2. Let a be q(0). Factor 3/4*j**a - y*j**3 - 1 + j - 1/4*j**4.
-(j - 1)**2*(j + 2)**2/4
Suppose -4*i + 5*i = -b + 17, -4*b + 23 = -5*i. Let w = b - 9. Find n such that 7*n + w*n**2 + 6*n - 22*n = 0.
0, 3
Let w = 67 + -42. Let n = w - -23. Factor n*r**3 - 47*r**3 - 3 - 2*r**2 + 5*r**2 - r.
(r - 1)*(r + 1)*(r + 3)
Let n(f) be the first derivative of 0*f**2 + 0*f**4 + 8 + 2/21*f**3 - 2/35*f**5 + 0*f. Determine l, given that n(l) = 0.
-1, 0, 1
Factor 7/3*d - 7/3*d**3 + 2*d**4 - 5/3*d**2 - 1/3.
(d - 1)**2*(d + 1)*(6*d - 1)/3
Let y(h) be the second derivative of -8/5*h**2 + 0 - 40*h + 3/5*h**3 - 1/30*h**4. Find l such that y(l) = 0.
1, 8
Let d(z) be the second derivative of z**6/2160 + z**5/90 + z**4/9 - 5*z**3 - 22*z. Let y(i) be the second derivative of d(i). Determine r so that y(r) = 0.
-4
Suppose -19*p + 1089 = 1013. Factor 0 + 4/3*x**2 - 8/3*x - 1/3*x**p + 2/3*x**3.
-x*(x - 2)**2*(x + 2)/3
Let y(u) be the first derivative of -35/4*u**4 + 10*u + 80/3*u**3 - 20 - 55/2*u**2. Factor y(v).
-5*(v - 1)**2*(7*v - 2)
Let 7/4*s + 3 + 1/4*s**2 = 0. What is s?
-4, -3
Let n(m) = -4*m + 11. Let k be n(4). Let d(l) = -6*l**2 + 5*l + 1. Let y(v) = v**2 - v. Let x(j) = k*y(j) - d(j). Factor x(r).
(r - 1)*(r + 1)
Let k(m) = 12*m**3 - 132*m**2 + 796*m - 660. Let z(d) = -11*d**3 + 129*d**2 - 794*d + 662. Let j(q) = -7*k(q) - 8*z(q). Factor j(w).
4*(w - 13)**2*(w - 1)
Let y(x) be the first derivative of x**3/18 + 25*x**2/6 + 625*x/6 + 28. Factor y(p).
(p + 25)**2/6
Let y(a) = -a**3 + a**2 - 2*a - 1. Let f(w) = 6*w**3 - 43*w**2 + 371*w + 5. Let o(u) = -f(u) - 5*y(u). Factor o(h).
-h*(h - 19)**2
Suppose 6/7*b**3 + 10/7*b**2 - 4/7*b + 0 = 0. What is b?
-2, 0, 1/3
Let k = 41/13 + -265/117. Solve k - 10*v**2 - 16/9*v = 0 for v.
-2/5, 2/9
Let w be (-1*(-1)/2)/((-113)/(-32770)). Let m = w + -143. Factor 2/7*q**m + 8/7 + 8/7*q.
2*(q + 2)**2/7
Let m(u) be the first derivative of 5*u**6/6 - 9*u**5 + 35*u**4/2 + 170*u**3/3 - 75*u**2/2 - 125*u + 185. Find d, given that m(d) = 0.
-1, 1, 5
Let l(h) = -h**2 + 19*h + 7. Let n(c) = -1 - 6*c + 4 - 5 + 0. Let b(i) = -2*l(i) - 7*n(i). Determine g so that b(g) = 0.
-2, 0
Let a be ((-24)/6 - -5)*10. Suppose a*y**2 + 23*y**3 - 72 + 12*y + 6*y**2 - 27*y**3 = 0. Calculate y.
-2, 3
Suppose 10 = 5*u - 0*v - 5*v, -9 = -2*u - 3*v. Suppose -10 - 13 - u - 2*l**2 + 16*l - 6 = 0. Calculate l.
4
Let h = 96 + -21. Let i = 378/5 - h. Factor i + 3/5*a**3 - 3/5*a**2 - 3/5*a.
3*(a - 1)**2*(a + 1)/5
Let j(u) be the first derivative of -u**6/540 - 4*u**5/45 + 2*u**3/3 + 21*u**2/2 + 48. Let f(h) be the third derivative of j(h). Find s, given that f(s) = 0.
-16, 0
Let b = -77 + 81. Let l(g) be the second derivative of 0*g**3 + 0*g**6 - 1/21*g**7 - 7*g + 0*g**b + 0*g**2 + 1/10*g**5 + 0. Factor l(h).
-2*h**3*(h - 1)*(h + 1)
Factor 365066/3*c - 122018/3 + 982/3*c**4 - 363092/3*c**2 + 119060/3*c**3 + 2/3*c**5.
2*(c - 1)**3*(c + 247)**2/3
Let q(l) be the first derivative of -3*l**5/5 - 21*l**4/4 - 7*l**3 + 45*l**2/2 + 87. Find g such that q(g) = 0.
-5, -3, 0, 1
Let w = -22 - -70. Let z = w + -48. Le