(o + 1)/3
Factor -9*b**3 + 86*b**2 + 28*b**2 + 0*b**3 + 39*b.
-3*b*(b - 13)*(3*b + 1)
Let v(g) be the first derivative of g**4/6 - 8*g**3/9 - g**2/3 + 8*g/3 - 19. Factor v(s).
2*(s - 4)*(s - 1)*(s + 1)/3
Let g(u) be the third derivative of u**8/840 - u**6/150 + u**4/60 + 14*u**2. Factor g(c).
2*c*(c - 1)**2*(c + 1)**2/5
Let a(r) = 10*r**5 - 10*r**4 - 16*r**3 - 16. Let p(j) = -2*j**5 + 2*j**4 + 3*j**3 + 3. Let v(s) = -3*a(s) - 16*p(s). Factor v(l).
2*l**4*(l - 1)
Let -5*y**4 + 10*y - 311 - 15*y**3 + 5*y**2 + 5*y**5 + 151 + 160 = 0. Calculate y.
-1, 0, 1, 2
Let k(p) be the second derivative of -1/15*p**3 - 1/50*p**5 + 0*p**2 + 0 + 5*p - 1/15*p**4. Factor k(y).
-2*y*(y + 1)**2/5
Let z(j) be the second derivative of j**7/126 - j**6/45 + j**5/60 - 7*j. Factor z(h).
h**3*(h - 1)**2/3
Let b(c) be the third derivative of -c**5/20 - 3*c**4/8 + 47*c**2. Let b(p) = 0. Calculate p.
-3, 0
Let f(j) = 2*j**3 + 11*j**2 + j - 8. Let k(s) = -8*s**3 - 45*s**2 - 5*s + 32. Let d(q) = -26*f(q) - 6*k(q). Factor d(c).
-4*(c - 1)*(c + 1)*(c + 4)
Let t(b) be the first derivative of -3*b**5/20 - 3*b**4/16 - 4. Suppose t(k) = 0. Calculate k.
-1, 0
Let w be (21/15 - 1)/((-1)/(-4)). Suppose -32/5*f + w + 14/5*f**2 = 0. What is f?
2/7, 2
Let d(l) = -l**2 + 14*l - 11. Let s be d(13). Let o(r) be the first derivative of 2/5*r**5 + 0*r**4 - 2/3*r**3 - 1 + 0*r + 0*r**s. Factor o(k).
2*k**2*(k - 1)*(k + 1)
Factor 21/4*s**3 - 11/4*s - 1/2 - 2*s**2.
(s - 1)*(3*s + 1)*(7*s + 2)/4
Let j = 4 - 1. Let s = 1 + -1. Factor g**2 - 4*g**3 + 0*g**5 + s*g**5 + g**5 + j*g**3 - g**4.
g**2*(g - 1)**2*(g + 1)
Let y(c) be the first derivative of -c**7/105 + c**6/30 + c**5/30 - c**4/6 - 7*c**2/2 - 5. Let k(q) be the second derivative of y(q). Factor k(j).
-2*j*(j - 2)*(j - 1)*(j + 1)
Let q be 44/(-10) - 2/(-5). Let b be (q/2 - -4) + 0. Factor -b*u**3 + 7*u + u - 4*u + 2*u**2.
-2*u*(u - 2)*(u + 1)
Let d be ((-24)/18)/((-8)/12). Suppose 5 = -4*i + 5*i, -2*u + 14 = d*i. Factor -1/2*f**3 + 0*f + 0*f**u + 0 - 1/2*f**5 + f**4.
-f**3*(f - 1)**2/2
Let l be 1*3 + (-50)/30. Let a(d) be the first derivative of -d**2 + 1 - 1/2*d**4 + 0*d - l*d**3. Determine h so that a(h) = 0.
-1, 0
Suppose -6*z = -4*z + 6. Let b be ((-1)/z)/(4/6). Factor -1/2*k + 0 + b*k**2.
k*(k - 1)/2
Let c(y) be the third derivative of -y**7/42 - y**6/4 - 3*y**5/4 - 5*y**4/6 - 18*y**2. Factor c(z).
-5*z*(z + 1)**2*(z + 4)
Suppose 0*u + u + 21 = 0. Let j = u - -21. Let -2/3*m**5 + 2/3*m**4 + j*m + 0 + 2/3*m**3 - 2/3*m**2 = 0. Calculate m.
-1, 0, 1
Let x = 502 + -1564/3. Let j = -19 - x. Factor j*w + 2/3*w**2 + 0 + 1/3*w**3.
w*(w + 1)**2/3
Suppose -i = -j + 12, -j - 5*i = -35 - 7. Solve 23 + 2*n**2 - 16*n - 10 + j + 2 = 0.
4
Factor -2/11*t + 2/11*t**3 + 0*t**2 + 0.
2*t*(t - 1)*(t + 1)/11
Let u be (-3)/((-45)/47) - 3. Let b(l) be the second derivative of -2*l + 0 + 0*l**2 + 1/15*l**3 - u*l**4. Let b(c) = 0. Calculate c.
0, 1/4
Let y(g) be the third derivative of g**4/24 - 5*g**3/6 + 9*g**2. Let b be y(7). Factor 3/5 - 6/5*f + 3/5*f**b.
3*(f - 1)**2/5
Factor -8/3*c**3 + 2*c**2 + 0*c + c**4 - 1/3.
(c - 1)**3*(3*c + 1)/3
Let a(i) be the second derivative of 3*i**4/8 + 5*i**3/4 + 3*i**2/2 + 26*i. Factor a(l).
3*(l + 1)*(3*l + 2)/2
Let l(z) = -2*z - 4. Let a be l(-4). Determine t so that 0 + 0*t**2 - 5/2*t**5 + 0*t + 7/2*t**a - t**3 = 0.
0, 2/5, 1
Solve 0*y**2 + 16*y**2 - 4*y**2 - 4*y**3 + 4 + y - 13*y = 0 for y.
1
Let a(d) = -d**3 + 0*d - 7*d + 8*d - d**2 - 1. Let m(i) = -4*i**5 + 13*i**4 - 8*i**3 + 14*i**2 - 8*i + 7. Let g(l) = -14*a(l) - 2*m(l). Factor g(x).
2*x*(x - 1)**3*(4*x - 1)
Suppose 4*c + 3*c = 0. Let t(d) be the third derivative of c*d**3 + 1/90*d**6 - 1/315*d**7 - 1/90*d**5 + 0*d**4 + 0*d + 2*d**2 + 0. Factor t(m).
-2*m**2*(m - 1)**2/3
Let h(j) be the first derivative of -j**7/560 + j**6/120 - j**5/80 + j**3 - 7. Let a(n) be the third derivative of h(n). Factor a(k).
-3*k*(k - 1)**2/2
Let v = -46845/43 - -999224/387. Let u = v + -1491. Factor -u*b - 4/9 - 2/9*b**4 - 10/9*b**3 - 2*b**2.
-2*(b + 1)**3*(b + 2)/9
Let a be 3/((-30)/12*(-6)/10). Factor 0*j + 2/9*j**a + 0.
2*j**2/9
Let h be ((-12)/(-80))/(1/5). Factor 0*v**2 - h*v - 1/4 + v**3.
(v - 1)*(2*v + 1)**2/4
Let o = -810 + 812. Let 2/13*p**3 + 4/13 - 10/13*p + 6/13*p**o - 2/13*p**4 = 0. What is p?
-2, 1
Let b(x) be the third derivative of x**5/120 - 7*x**4/48 + 5*x**3/6 + 12*x**2. Find s such that b(s) = 0.
2, 5
Let u be -5 - ((5 - 6) + -6). Factor 3/5*r - 3/5*r**3 + 3/5*r**u - 3/5.
-3*(r - 1)**2*(r + 1)/5
Let l = 1 + 1. Factor -x**2 - 3*x**4 - 6*x**3 - 2*x**l + 0*x**2.
-3*x**2*(x + 1)**2
Let y = 4105/2734 + -2/1367. Factor y*p + 0*p**2 - 1 - 1/2*p**3.
-(p - 1)**2*(p + 2)/2
Let r(w) = -2*w**2 - 37*w - 80. Let y(u) = -5*u**2 - 75*u - 160. Let t(v) = 5*r(v) - 3*y(v). Find p such that t(p) = 0.
-4
Let -348*l**3 + 27*l**5 - 198*l**2 + 287*l + 144*l**4 - 42 - 105*l + 43*l = 0. What is l?
-7, -1, 1/3, 2
Let g = 8 + -8. Let l(a) be the third derivative of g*a**3 + 0*a + a**2 - 1/735*a**7 + 1/210*a**5 + 0 + 1/420*a**6 - 1/84*a**4. Suppose l(z) = 0. Calculate z.
-1, 0, 1
Let w = -2/65 + 28/65. Let 1/5 + 1/5*a**2 + w*a = 0. What is a?
-1
Let p(g) be the third derivative of 3/20*g**5 - 3/40*g**6 + 1/70*g**7 + 0 + 0*g + 0*g**3 - 7*g**2 - 1/8*g**4. Factor p(a).
3*a*(a - 1)**3
Factor 0 - 1/2*b**3 - 5/4*b**2 - 1/2*b.
-b*(b + 2)*(2*b + 1)/4
Let h(d) = -8*d**3 + 42*d**2 - 42*d + 4. Let o(m) = 16*m**3 - 85*m**2 + 84*m - 9. Let n(j) = 11*h(j) + 6*o(j). Solve n(a) = 0 for a.
1/2, 5
Factor -6/13*f**4 + 0*f + 0*f**2 + 2/13*f**5 + 4/13*f**3 + 0.
2*f**3*(f - 2)*(f - 1)/13
Let c(x) be the third derivative of -243*x**7/70 + 81*x**6/5 - 18*x**5 + 28*x**4/3 - 8*x**3/3 + 43*x**2. Factor c(s).
-(s - 2)*(9*s - 2)**3
Let s(y) be the first derivative of 2*y**9/567 - y**8/63 + 11*y**7/420 - y**6/54 + y**5/180 + y**3/3 + 2. Let v(l) be the third derivative of s(l). Factor v(x).
2*x*(x - 1)**2*(4*x - 1)**2/3
Let q(i) be the second derivative of -8*i**7/21 - 16*i**6/15 - i**5/5 + 5*i**4/3 + 2*i**3/3 - 2*i**2 + 8*i. Find s, given that q(s) = 0.
-1, 1/2
Let u(a) be the third derivative of -a**7/840 - a**6/360 + a**5/120 + a**4/24 + a**3/6 - a**2. Let i(h) be the first derivative of u(h). Factor i(r).
-(r - 1)*(r + 1)**2
Suppose 6/7 + 2*v**2 - 20/7*v = 0. What is v?
3/7, 1
Let l(h) be the first derivative of h**4/2 - 27*h**2 + 108*h + 44. Factor l(f).
2*(f - 3)**2*(f + 6)
Let s(m) be the second derivative of 2*m**6/35 + 2*m**5/5 + 20*m**4/21 + 16*m**3/21 - 4*m. Factor s(v).
4*v*(v + 2)**2*(3*v + 2)/7
Let f = -425/6 - -214/3. Factor f*m**3 - 1/4*m**2 - 1/4*m**4 + 0 + 0*m.
-m**2*(m - 1)**2/4
Let s = 188/3 + -62. Let b(i) be the first derivative of s*i - 4/9*i**3 + 0*i**4 + 2/15*i**5 + 1 + 0*i**2. Factor b(k).
2*(k - 1)**2*(k + 1)**2/3
Let b be -4 + 16/4 + 0. Let 2*o**5 + b + 1/2*o + 3/2*o**4 - 3/2*o**2 - 5/2*o**3 = 0. Calculate o.
-1, 0, 1/4, 1
Suppose -5*s = -2*x + 10, -3*x - s = 5 - 3. Let t = 19/81 - 1/81. Factor 2/9*l**2 + t*l + x.
2*l*(l + 1)/9
Suppose -1 = 4*c + d, -c - 3 = -4*d - 7. Factor 2*m**2 + 12*m**3 + m**2 + 0*m**2 + c*m**2.
3*m**2*(4*m + 1)
Let n(h) = -h**2 + 5*h + 8. Let o be n(6). Factor x**2 + 4*x**2 - x - 3*x**2 - 2 - x**o.
(x - 2)*(x + 1)
Let n(c) be the second derivative of 0 - 21/25*c**5 + 59/75*c**6 - 8/15*c**3 + 1/3*c**7 + 0*c**2 - 22/15*c**4 + 8*c. What is g in n(g) = 0?
-2, -2/5, -2/7, 0, 1
Let k = 22817/396 + -829/44. Let y = 39 - k. Factor 0 + 2/9*r**4 - 2/9*r**5 + 2/9*r**3 + 0*r - y*r**2.
-2*r**2*(r - 1)**2*(r + 1)/9
Let h(y) be the third derivative of 2*y**7/735 - y**6/105 - y**5/105 + y**4/21 + 10*y**2. Let h(t) = 0. Calculate t.
-1, 0, 1, 2
Let z(j) = -j**5 + j**4 - j**3. Let p(y) = -2*y**5 - 11*y**4 + 7*y**3. Let q(r) = p(r) + 3*z(r). What is o in q(o) = 0?
-2, 0, 2/5
Let v be (-5)/15 - (-2)/2. Suppose -v - 2/3*u**2 + 4/3*u = 0. Calculate u.
1
Let w(n) be the first derivative of -n**4/6 + n**2/3 + 1. Find p, given that w(p) = 0.
-1, 0, 1
Let d(b) be the third derivative of 0*b - 1/18*b**4 + 0 - 3*b**2 + 0*b**3 + 1/90*b**5. Factor d(a).
2*a*(a - 2)/3
Let d be (1/(-5) - 0) + 46/115. Factor -d*t - 2/5 + 1/5*t**2.
(t - 2)*(t + 1)/5
Let v be 0 - 2 - 1*-6. Suppose -w + v = w. What is r in -2*r - 2*r**2 + 0*r**w + 4*r = 0?
0, 1
Let w(k) be the third derivative of k**8/560 + k**7/1050 - k**6/4