 0.
-1, 1
Let p(h) be the first derivative of h**6/15 - 3*h**5/20 + h**3/6 + 16*h + 4. Let d(m) be the first derivative of p(m). Factor d(k).
k*(k - 1)**2*(2*k + 1)
Let 0*z**3 - 1/10*z**5 + 1/10*z - 1/5*z**2 + 0 + 1/5*z**4 = 0. What is z?
-1, 0, 1
Suppose 0 = 40*l - 34*l - 24. Let u(z) = -z**3 + 3*z**2 + 6*z - 3. Let m be u(l). Find x such that 0*x + 0 + 2/5*x**4 - 2/5*x**2 - 1/5*x**m + 1/5*x**3 = 0.
-1, 0, 1, 2
Let n be (-1)/(-3) + (-220)/30. Let q be ((6 + n)/(-4))/((-2)/(-2)). Factor -1/4*s - q*s**2 + 1/4*s**3 + 1/4.
(s - 1)**2*(s + 1)/4
Solve 2/3*z + 1/6*z**2 + 2/3 = 0.
-2
Let d be 1 - -4*3/(-54). Let b = -5/18 + d. Find j such that -1/2*j**2 - 4*j + b*j**4 - 2 + 5/2*j**3 - 1/2*j**5 = 0.
-1, 2
Let x(h) be the second derivative of 7*h**7/30 + 7*h**6/12 - 13*h**5/15 + h**4/3 + 7*h**2/2 + h. Let p(y) be the first derivative of x(y). Factor p(z).
z*(z + 2)*(7*z - 2)**2
Let u(d) be the first derivative of -d**4/7 - d**3/7 + 15*d**2/14 + 2*d + 108. Find a such that u(a) = 0.
-7/4, -1, 2
Let f be 2/(7 - -3*66/(-30)). Factor -512/5*o - 152/5*o**3 + 80*o**2 - 2/5*o**f + 256/5 + 28/5*o**4.
-2*(o - 4)**2*(o - 2)**3/5
Let o(j) = -3*j**4 + 11*j**3 - 10*j**2 - 6*j + 3. Let y(h) = h**3 - 2*h**2. Let b(i) = -o(i) + 5*y(i). Factor b(t).
3*(t - 1)**3*(t + 1)
Suppose 44*i**2 + 3*i**4 - 21*i - i**2 - 16*i**2 + 6 - 12*i**3 - 3*i**3 = 0. Calculate i.
1, 2
Let i = -51 + 56. Let k(s) be the third derivative of 0*s**4 + 0*s**3 + 0 - 1/150*s**6 - 1/25*s**i + s**2 + 0*s. Factor k(z).
-4*z**2*(z + 3)/5
Let q(x) = x**2 + 2*x + 2. Let p(t) = -6*t**2 - 10*t - 11. Let m = 11 - 11. Let v = m + -2. Let y(j) = v*p(j) - 11*q(j). Determine h, given that y(h) = 0.
0, 2
Let m(b) = 15*b**2 - 55*b - 5. Let w(v) = 22*v**2 - 83*v - 7. Let p(u) = -7*m(u) + 5*w(u). Factor p(j).
5*j*(j - 6)
Let z(p) be the third derivative of -p**9/24192 + p**8/6720 - p**7/6720 - 13*p**3/6 + 33*p**2. Let j(h) be the first derivative of z(h). Factor j(g).
-g**3*(g - 1)**2/8
Factor 6/5*c**2 - 1/10*c**3 + 5 - 9/2*c.
-(c - 5)**2*(c - 2)/10
Suppose 0 = 3*c + 3*g - 24, -7 = 5*c - 4*g - 2. Let i(u) be the second derivative of 0 + 1/4*u**2 + 2*u + 1/24*u**c - 1/48*u**4. Factor i(r).
-(r - 2)*(r + 1)/4
Suppose 5*n + 5*w + 12 = 17, 4*n = -w + 10. Let p(f) be the first derivative of 1/3*f**n + 0*f + 1/2*f**2 - 4. Factor p(g).
g*(g + 1)
Let n(j) be the second derivative of 2/21*j**3 + 3/70*j**5 + 0 - 1/105*j**6 - 1/147*j**7 + 0*j**2 + 5/42*j**4 + 8*j. Solve n(o) = 0.
-1, 0, 2
Let s = 698 - 695. Let a(f) be the second derivative of 0*f**2 + 1/36*f**4 - 2/9*f**s + 0 + f. Solve a(l) = 0.
0, 4
Let o = 0 - -5. Suppose -o*u = -2*d - 6, 2*d - 14 = -3*u - 2*u. Factor -2*h**4 - 2 + d*h + 4*h**5 - 4*h**3 + h**5 - 5*h**5 + 2*h**5 + 4*h**2.
2*(h - 1)**3*(h + 1)**2
Let y = -1371/14 - 977/14. Let r = y + 168. Factor -r*s**3 + 0 + 0*s - 2/7*s**2.
-2*s**2*(s + 1)/7
Suppose -2*x + 11 = -5*z + 10, -19 = -5*x - 4*z. Let u(n) be the first derivative of 4/5*n - 1/5*n**2 - 4/15*n**x + 1/10*n**4 + 1. Factor u(a).
2*(a - 2)*(a - 1)*(a + 1)/5
Let v(j) be the second derivative of 32/5*j**5 + 4096/3*j**3 + 12*j + 128*j**4 + 2/15*j**6 + 8192*j**2 + 0. Factor v(m).
4*(m + 8)**4
Let g(k) be the second derivative of k**5/84 - 17*k**4/168 + k**3/7 + 3*k**2/2 + 2*k. Let s(u) be the first derivative of g(u). Determine z so that s(z) = 0.
2/5, 3
Let p(f) be the second derivative of f**7/147 - 4*f**6/105 - f**5/35 + 4*f**4/21 + f**3/21 - 4*f**2/7 - f - 68. Find o such that p(o) = 0.
-1, 1, 4
Suppose -d = 5*f - 22, 2*d = 4*f - 5 - 7. Factor -29*g**2 + 15*g**3 + 86*g**d - 3 - 6 + 0 + 33*g.
3*(g + 1)*(g + 3)*(5*g - 1)
Let w(h) be the second derivative of h**5/5 + 2*h**4/3 - 2*h**3/3 - 4*h**2 - 35*h. Find f such that w(f) = 0.
-2, -1, 1
Let v(h) = 2*h**2 - h - 15. Let b(p) = 3*p**2 - 2*p - 23. Let k(y) = 5*b(y) - 7*v(y). Suppose k(n) = 0. Calculate n.
-2, 5
Let u(k) = k**2 - 3*k + 4. Let n(s) = s**2 + 1. Let m(d) = 3*d**2 + 3*d + 1. Let y(z) = m(z) - 4*n(z). Let o(q) = 3*u(q) + 4*y(q). Factor o(b).
-b*(b - 3)
Let v = 603772/10705 + -2/2141. Let i = v + -56. Let -2/5*q - i*q**2 + 18/5*q**3 + 8/5*q**5 - 22/5*q**4 + 0 = 0. What is q?
-1/4, 0, 1
Let l(u) be the first derivative of u**6/15 + 2*u**5/5 + 5*u**4/6 + 2*u**3/3 - 22*u + 22. Let d(j) be the first derivative of l(j). Factor d(q).
2*q*(q + 1)**2*(q + 2)
Suppose -2*x - 174 = 312. Let s = x - -1223/5. Find m such that -s + 2/5*m**2 + 6/5*m = 0.
-4, 1
Let i be (2*-4)/((0 + -3)/((-3)/(-2))). Find r, given that 5/6*r**5 - 15/2*r**2 - 35/6*r**i + 25/2*r**3 + 0 + 0*r = 0.
0, 1, 3
Let u = 12 - 12. Let q be (-32)/(-20)*7/28. Factor -q + u*z + 2/5*z**2.
2*(z - 1)*(z + 1)/5
Let o(d) be the second derivative of -2*d**7/21 + 34*d**6/15 + 2*d**5/5 - 34*d**4/3 - 2*d**3/3 + 34*d**2 + d - 15. Let o(p) = 0. What is p?
-1, 1, 17
Determine w, given that 296*w - 1987 - 3908 + 419 - 4*w**2 = 0.
37
Let u(t) be the first derivative of 3*t**5/20 - 13*t**4/16 - 85*t**3/12 + 325*t**2/8 + 125*t/2 - 80. Factor u(r).
(r - 5)**2*(r + 5)*(3*r + 2)/4
Let z(k) be the third derivative of 4*k**7/315 + 49*k**6/90 + 29*k**5/5 - 481*k**4/18 + 338*k**3/9 - 204*k**2. Find q such that z(q) = 0.
-13, 1/2, 1
What is y in 9 - 2*y**2 - 1/2*y**3 + 3/2*y = 0?
-3, 2
Let b(l) be the third derivative of -l**6/810 + l**5/270 + 4*l**3/3 - 9*l**2. Let f(u) be the first derivative of b(u). Factor f(x).
-4*x*(x - 1)/9
Determine y, given that 0 + 2/5*y + 2/5*y**4 + 4/5*y**5 - 2/5*y**2 - 6/5*y**3 = 0.
-1, 0, 1/2, 1
Let n = -2140 + 2142. Factor 2/9*k**n - 2/9*k - 4/3.
2*(k - 3)*(k + 2)/9
Let n(j) be the first derivative of 2/9*j**2 + 0*j - 1 + 2/27*j**3. Find i, given that n(i) = 0.
-2, 0
Let o(j) be the first derivative of j**6/48 + j**5/40 - j**4/8 - j**3/6 - 108. Find y, given that o(y) = 0.
-2, -1, 0, 2
Let s = -2878 - -20152/7. Suppose s*k**2 + 0*k - 4/7*k**3 - 2/7 = 0. Calculate k.
-1/2, 1
Let h(u) = -14*u**4 + 18*u**3 + 10*u**2 - 16*u + 4. Let n(s) = 42*s**4 - 55*s**3 - 29*s**2 + 48*s - 13. Let x(o) = -7*h(o) - 2*n(o). Factor x(i).
2*(i - 1)**2*(i + 1)*(7*i - 1)
Let i(l) be the first derivative of -2*l**5/5 + 51*l**4/20 - l**3/3 - 29. Factor i(m).
-m**2*(m - 5)*(10*m - 1)/5
Solve 3/8 + 21/8*s + 45/8*s**2 + 27/8*s**3 = 0 for s.
-1, -1/3
Let h(n) = -15*n**5 + 39*n**4 - 45*n**3 + 33*n**2 - 30*n + 18. Let l(y) = y**5 - 2*y**4 + y**3 + y - 1. Let u(i) = -h(i) - 18*l(i). What is k in u(k) = 0?
-4, 0, 1
Let s(t) be the first derivative of -2/3*t**3 + t**4 - 8 - 2/5*t**5 + 0*t + 0*t**2. Factor s(y).
-2*y**2*(y - 1)**2
Let b = -26506/3 - -8836. What is d in b*d**3 + 0 - 1/3*d**2 - 2/3*d + 1/3*d**4 = 0?
-2, -1, 0, 1
Let r be -21 + (2 - 12/2). Let z = r - -28. What is t in 80*t - 88*t + 4*t**z + t**2 + 3*t**2 = 0?
-2, 0, 1
Factor -13*p**3 + 5*p**2 - 4*p**2 + 4*p**2 + 15*p**4 + 28*p**3 + 5*p**5.
5*p**2*(p + 1)**3
Let a(s) = -s**3 + 8*s**2 + 11*s - 9. Let m be a(9). Factor -m*g - 5 - g**2 + 5 + 8*g.
-g*(g + 1)
Let n(v) = -2*v**5 - 2*v**4 - 14*v**3 + 2*v**2 + 2*v + 2. Let k(l) = -6*l**5 - 3*l**4 - 27*l**3 + 5*l**2 + 5*l + 5. Let c(r) = 2*k(r) - 5*n(r). Factor c(h).
-2*h**3*(h - 4)*(h + 2)
Let p = 0 - -28. Suppose -7*s = -0*s - p. Factor w**3 + w**s + 0*w + 1/3*w**5 + 0 + 1/3*w**2.
w**2*(w + 1)**3/3
Let r(i) be the third derivative of -i**6/1080 - 7*i**5/360 - i**4/12 + 14*i**3/3 + 12*i**2. Let p(b) be the first derivative of r(b). Factor p(s).
-(s + 1)*(s + 6)/3
Let k(o) be the first derivative of 2*o**5/35 + o**4/7 - 38*o**3/21 + 4*o**2 - 24*o/7 - 23. Let k(c) = 0. What is c?
-6, 1, 2
Let m = -1316 + 1319. Let c(t) be the second derivative of 1/165*t**6 + 0 - 4*t + 0*t**m + 0*t**4 + 0*t**2 + 1/55*t**5. Factor c(v).
2*v**3*(v + 2)/11
Let v(b) = -20*b**3 - 55*b**2 - 110*b - 60. Let x(y) = -y**3 - y - 1. Let l(m) = v(m) - 15*x(m). Factor l(t).
-5*(t + 1)**2*(t + 9)
Let r = -282 - -139. Let m = r - -430/3. Factor 2/3*h**3 - m*h + 0 + 0*h**2 + 0*h**4 - 1/3*h**5.
-h*(h - 1)**2*(h + 1)**2/3
Let m = -21 - 33. Let d = -23 - m. Let 0*v**4 - 2*v**2 - v**5 - d - 2*v**3 + 30 + 5*v**4 + 3*v - 2*v**4 = 0. What is v?
-1, 1
Suppose 17 - 7 = 5*r. What is s in 13*s + 14*s - 39*s**2 - 156*s**3 - 3*s + 12 - 12*s**r - 123*s**4 - 30*s**5 = 0?
-2, -1, -1/2, 2/5
Let m(g) = 6*g - 2. Suppose -5*k = 3*t - 2*t - 4, -2*k + t = -3. Let v be m(k). Factor -10*a**3 + 7*a - v*a - 12*a**2 - 5*