 0*p + 0 - 10/3*p**3 - 4/3*p**h - 2*p**4 = 0?
-1, -2/3, 0
Factor -94 + 55*s**3 + 239*s - 6*s - 123 + 5*s**4 + 147 - 195*s**2 - 28*s.
5*(s - 1)**3*(s + 14)
Let c(g) = g - 3. Let u be c(6). Suppose -u*y = -0*y - 15. Factor y*v**2 + 2*v + v**3 + 0*v**3 - 4*v**3.
-v*(v - 2)*(3*v + 1)
Suppose 2*c = -5*c + 28. Factor 12*y + 4*y**2 + 18 - 14 + 8*y**2 + c*y**3.
4*(y + 1)**3
Let f = 3 + -4. Let s be (0 - -6 - 5)/(f/(-2)). Solve 0 - 4/3*c**s + c + 1/3*c**3 = 0 for c.
0, 1, 3
Suppose -8 = -2*f + m, 3*m + 54 = 5*f + 33. Factor 8/7*t**f - 2/7*t**4 - 10/7*t**2 + 0 + 4/7*t.
-2*t*(t - 2)*(t - 1)**2/7
Let k(v) be the first derivative of 0*v + 1/3*v**3 + 0*v**2 - 5 - 1/20*v**4. Solve k(b) = 0 for b.
0, 5
Let z be (-100)/(-60) - 1/(-3). Determine t, given that 4*t**3 + 3*t**5 - 6*t**z + 32 + 9*t - 16*t**3 - 26 = 0.
-1, 1, 2
Let o(j) be the third derivative of j**10/60480 - j**9/30240 + j**4/2 + 2*j**2 + 5. Let t(a) be the second derivative of o(a). Factor t(n).
n**4*(n - 1)/2
Factor 3/2*j**3 + 0 - 26*j - 155/2*j**2.
j*(j - 52)*(3*j + 1)/2
Let a(j) = 8*j**4 - 7*j**3 - 60*j**2 - 45*j + 2. Let w(g) = -135*g**4 + 120*g**3 + 1020*g**2 + 765*g - 35. Let y(t) = -35*a(t) - 2*w(t). Factor y(c).
-5*c*(c - 3)*(c + 1)*(2*c + 3)
Suppose -2*f + 0 - 33/4*f**2 - f**3 = 0. What is f?
-8, -1/4, 0
Let o(t) be the second derivative of 1/10*t**3 + 2/5*t**4 + 5*t + 0*t**2 + 12/25*t**5 + 0. Find u, given that o(u) = 0.
-1/4, 0
Suppose 6*v - 3*v - 6 = 0. Factor 115*c + 2*c**2 + 2 + 2*c**v + 106*c - 227*c.
2*(c - 1)*(2*c - 1)
Let n(w) = w**2. Let l be 40/24 + (-4)/(-12). Let o(r) = -2*r**3 + 6*r**2 - 24*r + 16. Let d(t) = l*o(t) + 12*n(t). Let d(a) = 0. Calculate a.
2
Let a(q) = -q**4 - q**3 + 2*q + 2. Let t(i) = -2*i**3 - i**2 + 3*i + 3. Suppose 3*n + 2*j + 1 = 3, -5*n = -j - 12. Let l(k) = n*t(k) - 3*a(k). Factor l(c).
c**2*(c - 1)*(3*c + 2)
Let k(h) be the second derivative of h**6/80 + h**5/8 - h**4/16 - 5*h**3/4 + h**2 - 3*h - 4. Let s(r) be the first derivative of k(r). Factor s(y).
3*(y - 1)*(y + 1)*(y + 5)/2
Let h(c) = 10*c**2 + 5*c. Let a(p) = 9*p**2 + 4*p. Let t(i) = -4*a(i) + 3*h(i). Let j(k) = -5*k**2 - 2*k - 1. Let x(n) = -5*j(n) + 4*t(n). Factor x(y).
(y + 1)*(y + 5)
Let j(d) = -15*d**5 - 21*d**4 + 3*d**3 - 9. Let p(f) = 7*f**5 + 10*f**4 - f**3 + 4. Let v = -42 - -46. Let s(n) = v*j(n) + 9*p(n). Factor s(o).
3*o**3*(o + 1)**2
Let n(m) = 30*m**2 + 204*m + 35. Let d(l) = -6*l**2 - 41*l - 7. Let b(a) = -11*d(a) - 2*n(a). Factor b(p).
(p + 7)*(6*p + 1)
Let b(p) be the third derivative of -p**5/60 + 3*p**4/2 - 35*p**3/6 + 15*p**2 + 2. Let b(o) = 0. Calculate o.
1, 35
Factor -352/5*w - 354/5 + 2/5*w**2.
2*(w - 177)*(w + 1)/5
Let x(k) = 15*k**3 - 21*k**2 + 75*k - 15. Let y(z) = 8*z**3 - 10*z**2 + 39*z - 7. Let n(l) = -5*x(l) + 9*y(l). Factor n(g).
-3*(g - 2)**2*(g - 1)
Let r(f) = 6*f**3 + 3*f**2 + 3. Let p(b) = 11*b**3 + 6*b**2 + 5. Let h(v) = -3*v + 15. Let y be h(6). Let i(g) = y*p(g) + 5*r(g). Find s such that i(s) = 0.
-1, 0
Let l = -11079/77 + 1589/11. Factor 8/7 - 4/7*z**2 - l*z.
-4*(z - 1)*(z + 2)/7
Let d be 2 - -2 - 41290/11385. Let x = d + -2/207. Determine j so that 6/11*j**2 + 14/11*j**3 - 6/11*j + 6/11*j**4 - x = 0.
-1, 2/3
Factor 24/11*x**4 + 0*x + 0*x**2 + 18/11*x**3 + 8/11*x**5 + 0.
2*x**3*(2*x + 3)**2/11
Let c(w) be the first derivative of -w**3/4 + 27*w**2/8 - 15*w + 290. Factor c(p).
-3*(p - 5)*(p - 4)/4
Let s(t) be the third derivative of t**7/420 + 11*t**6/80 - 117*t**5/40 + 369*t**4/16 - 189*t**3/2 + 279*t**2. Factor s(z).
(z - 3)**3*(z + 42)/2
Let z(o) be the third derivative of -o**9/5040 + o**8/2800 + o**7/700 + 10*o**3/3 + 31*o**2. Let v(i) be the first derivative of z(i). Factor v(c).
-3*c**3*(c - 2)*(c + 1)/5
Let i(t) be the third derivative of t**5/240 + t**4/48 + t**3/24 - 2*t**2 - 35*t. Factor i(r).
(r + 1)**2/4
Suppose -8/3 - 68/9*d - 28/9*d**2 = 0. Calculate d.
-2, -3/7
Let n = -121 - -124. Let b be -1*3*(0 + -1). What is x in 2*x**4 + 9*x**b + 0*x**2 + 2*x**2 - 5*x**n = 0?
-1, 0
Suppose 118*g = 124*g - 18. Factor 0*u + 0 + 9/4*u**g - 3/4*u**4 - 3/2*u**2.
-3*u**2*(u - 2)*(u - 1)/4
Let l(q) = q**3 - 2*q**2 + 17*q - 13. Let r(m) = m**3 - 3*m**2 + 18*m - 14. Let d(n) = 6*l(n) - 7*r(n). Determine z so that d(z) = 0.
2, 5
Let i(j) be the first derivative of -j**3/12 + j/4 - 88. Let i(v) = 0. Calculate v.
-1, 1
Let n(t) be the first derivative of -5*t**4/4 + 5*t**2/2 - 85. Factor n(p).
-5*p*(p - 1)*(p + 1)
Let r(z) be the first derivative of 0*z + 32 - 5/4*z**4 - 25/3*z**3 + 0*z**2. Find v such that r(v) = 0.
-5, 0
Let v(u) be the third derivative of u**6/90 - u**5/5 + 9*u**4/8 - 3*u**3 - 9*u**2 + 6*u. Factor v(q).
(q - 6)*(2*q - 3)**2/3
Let f(t) = -18*t**3 - 3*t**2 + 24*t. Let m(w) = -w**4 + w**3 - w**2. Let r(g) = -f(g) - 3*m(g). Factor r(b).
3*b*(b - 1)*(b + 2)*(b + 4)
Let l(x) be the first derivative of -5*x**9/6048 + x**7/336 - 26*x**3/3 + 22. Let y(w) be the third derivative of l(w). Solve y(u) = 0.
-1, 0, 1
Factor -5*b**3 - 60*b**2 + 11*b**2 - 35 + 65*b + 24*b**2.
-5*(b - 1)**2*(b + 7)
Let f = 332 - 328. Let u be -3 - (f/((-20)/75))/4. Determine w, given that 3/8*w**4 + 3/8*w**5 + u*w - 3/8*w**2 + 0 - 9/8*w**3 = 0.
-2, -1, 0, 1
Let c(b) = -4*b - 31. Let h be c(-9). Suppose -4*s = -16, -2 = 3*z - h*z + 2*s. Suppose 1/4*d**z + d**2 + 0 - d - d**4 + 3/4*d**3 = 0. What is d?
-1, 0, 1, 2
Find g, given that 0*g + 16/9*g**2 + 4/9*g**3 - 2/9*g**4 + 0 = 0.
-2, 0, 4
Factor -26*h**5 + 2*h**5 + 6*h**3 - 2*h**3 + 28*h**4 - 8*h**3.
-4*h**3*(h - 1)*(6*h - 1)
Let s = 668/1695 + 2/339. Factor 0 + 3/5*c**2 - s*c.
c*(3*c - 2)/5
Let t(a) = 9*a**4 - 27*a**3 + 66*a**2 - 66*a + 27. Let w(y) = -7*y**4 + 26*y**3 - 65*y**2 + 66*y - 26. Let l(c) = -2*t(c) - 3*w(c). Factor l(g).
3*(g - 4)*(g - 2)*(g - 1)**2
Suppose v + 10 = -4. Let g = v - -18. Determine d so that -g - 4*d**4 + 20*d**3 + 6*d - 36*d**2 - 4 + 22*d = 0.
1, 2
Let n be (26/156)/((-4)/(-40)). Let p(a) be the second derivative of -5/12*a**4 + n*a**3 + 0*a**2 - 1/4*a**5 + a + 0. Let p(w) = 0. Calculate w.
-2, 0, 1
Suppose 9 = -3*h + h - a, 3*h - 6 = 5*a. Let b be h/6 - 3/(-3). Factor -1/2*g**5 + g**3 - b*g**4 + 0*g + 0 + 0*g**2.
-g**3*(g - 1)*(g + 2)/2
Let k = -217/40 + 27/5. Let o = 83/120 + k. Factor -8/9*u**2 + o + 22/9*u.
-2*(u - 3)*(4*u + 1)/9
Let z be 9 + 1 - 6734/728. Find g, given that z*g**2 - 63/8*g - 33/8 = 0.
-1/2, 11
Suppose -14/11*g**3 + 0 - 2/11*g**4 - 18/11*g + 34/11*g**2 = 0. What is g?
-9, 0, 1
Find q, given that -43*q**2 + 11 - 11 + 54*q + 46*q**2 = 0.
-18, 0
Let x(o) be the second derivative of -5 + 3*o + 26/3*o**3 + 12*o**2 + 8/3*o**4 + 1/5*o**5. Find i, given that x(i) = 0.
-6, -1
Factor 0*b**4 - 8*b**2 - 3*b**2 + 36 - 16*b**2 + 12*b + 3*b**4.
3*(b - 2)**2*(b + 1)*(b + 3)
Let r(i) be the third derivative of i**8/1680 + i**7/150 - i**6/300 - 23*i**5/150 + 13*i**4/24 - 5*i**3/6 + 6*i**2. Factor r(x).
(x - 1)**3*(x + 5)**2/5
Let -3/2*q**2 + 8*q - 1/2*q**3 - 6 = 0. Calculate q.
-6, 1, 2
Let y(v) be the first derivative of v**5/80 - v**4/48 - 5*v**3/24 - 3*v**2/8 + 10*v - 9. Let w(p) be the first derivative of y(p). Factor w(s).
(s - 3)*(s + 1)**2/4
Factor -4*y - 10 - 2/9*y**2.
-2*(y + 3)*(y + 15)/9
Let l(c) be the third derivative of -c**8/168 + 2*c**7/105 + 3*c**6/20 - 11*c**5/15 - c**4/3 + 8*c**3 - 13*c**2 - 5*c. Factor l(r).
-2*(r - 2)**3*(r + 1)*(r + 3)
Factor k**4 - 5*k**4 + 4*k**4 - 52*k - 38*k - 2*k**4 + 114*k**2 - 22*k**3.
-2*k*(k - 3)*(k - 1)*(k + 15)
Suppose 4*m + 44 = 2*m - 4*b, 4*m - 3*b + 44 = 0. Let k = 17 + m. Suppose 5*a - 70*a**2 + k*a + 90*a**2 = 0. What is a?
-2/5, 0
Let o be 3*2/(-27) - (-20)/9. Factor 9*l**2 + 104*l - 4*l**o - 17*l**2 - 64.
-4*(l - 8)*(3*l - 2)
Let x(t) be the third derivative of t**8/84 - 26*t**7/105 - t**6/10 + 41*t**5/15 - 13*t**4/3 - 576*t**2. Find c, given that x(c) = 0.
-2, 0, 1, 13
Suppose -2*f = -6*f + 5*q, 5*f - 5*q = 0. Let x(h) be the third derivative of 0*h - 6*h**2 + 0 + 0*h**6 - 1/30*h**5 + f*h**4 + 0*h**3 + 1/105*h**7. Factor x(i).
2*i**2*(i - 1)*(i + 1)
Let u(d) = -2*d**3 + 13*d**2 - 5*d - 3. Let s be u(6). Let r(l) = 9*l**2 + 39*l + 9. Let z(o) = 1. Let h(x) = s*z(x) + r(x). Factor h(v).
3*(v + 4)*(3*v + 1)
Factor -237*a - 3*a**5 - 2*a**4 + 8*a**2 + 123*a**4 - 2*a**2 + 240*a**3 - 7*a**4 - 120.
-3*(a - 40)*(a - 1)*(a + 1)**3
Let n(m) be the