.
k*(k - 4)*(k + 1)
Let x(h) = 45*h**2 + 9*h + 24. Let m(s) = -9*s**2 - 2*s - 5. Let u(d) = -24*m(d) - 5*x(d). Let u(k) = 0. What is k?
0, 1/3
Let b(c) be the third derivative of c**7/1260 + c**6/360 + 5*c**4/24 + 5*c**2. Let q(z) be the second derivative of b(z). Factor q(g).
2*g*(g + 1)
Factor 2/7*t**2 - 2/7*t**4 + 0*t + 0*t**3 + 0.
-2*t**2*(t - 1)*(t + 1)/7
Solve s**2 + 1/5*s**3 + 3/5 + 7/5*s = 0.
-3, -1
Let d(v) = -8*v**2 + 38*v - 8. Let j(n) = -16 - 9*n + 67*n + 19*n - 15*n**2. Let l(u) = -13*d(u) + 6*j(u). Factor l(c).
2*(c - 2)*(7*c - 2)
Let y(d) = -149*d - 4. Let u be y(-2). Determine w, given that -44*w**2 + 315*w**3 + 12*w - 60*w**2 - 4*w**2 - u*w**4 = 0.
0, 2/7, 1/2
Let c(o) = 10*o**5 + 20*o**4 - 20*o**2 + 4*o - 14. Let x(z) = -2*z**5 - 4*z**4 + 4*z**2 - z + 3. Let k(r) = -3*c(r) - 14*x(r). Suppose k(p) = 0. Calculate p.
-1, 0, 1
Let j(n) = -n**3 + 4*n**2 - 2*n - 2. Suppose -3*h + 24 = -5*i, 4*i + 21 = 4*h - h. Let f be j(h). Find l, given that f - 1/2*l - 1/2*l**2 = 0.
-2, 1
Suppose 0 = 4*i - 0*i - 24. Suppose -i*u = -u. Determine z so that -8/9*z - 8/9*z**2 - 2/9*z**3 + u = 0.
-2, 0
Let a(n) be the first derivative of -4*n**6/9 + 16*n**5/5 - 37*n**4/6 + 14*n**3/3 - 4*n**2/3 - 13. Solve a(s) = 0.
0, 1/2, 1, 4
Let i(n) be the second derivative of -2*n**7/21 - 16*n**6/15 - 22*n**5/5 - 8*n**4 - 6*n**3 - 4*n. Determine b, given that i(b) = 0.
-3, -1, 0
Determine g so that -2/17*g**2 - 4/17*g - 2/17*g**5 + 2/17*g**4 + 6/17*g**3 + 0 = 0.
-1, 0, 1, 2
Determine r, given that 36/11*r - 2/11*r**2 - 162/11 = 0.
9
Suppose 0*q - c + 8 = 2*q, -4*q + 4*c = -16. Suppose 2*g + 3*a + 9 = 6*g, 4*a = q*g - 12. Solve -2/3*l + g - 2/3*l**2 = 0.
-1, 0
Let y(z) be the second derivative of -z**4/12 - z**3/3 - z**2/2 - 11*z. Factor y(g).
-(g + 1)**2
Let m(k) be the third derivative of k**8/1320 + k**7/924 - k**6/990 - 2*k**3/3 + k**2. Let y(n) be the first derivative of m(n). Factor y(w).
2*w**2*(w + 1)*(7*w - 2)/11
Let k(v) = -2*v**3 - 10*v**2 - 4*v + 2. Let x(u) = -9*u**3 - 51*u**2 - 20*u + 11. Let r(q) = -11*k(q) + 2*x(q). Let r(f) = 0. What is f?
-1, 0
Let q(v) be the second derivative of -v**4/24 + 4*v**3/3 - 16*v**2 - 55*v. Find z, given that q(z) = 0.
8
Let u(w) be the second derivative of 0 + 0*w**4 - 2*w - 1/45*w**6 + 0*w**3 - 1/30*w**5 + 0*w**2. Factor u(h).
-2*h**3*(h + 1)/3
Let i(d) be the third derivative of d**10/151200 - d**8/6720 + d**7/2520 + d**5/20 + d**2. Let o(u) be the third derivative of i(u). Find x such that o(x) = 0.
-2, 0, 1
What is h in 4/9*h + 2/9 + 2/9*h**2 = 0?
-1
Let x(a) be the third derivative of -a**6/540 + a**5/180 - a**3/6 + 2*a**2. Let p(i) be the first derivative of x(i). Factor p(d).
-2*d*(d - 1)/3
Factor 7*i**2 - 17*i**3 + 8*i**3 - 4 + 6*i**3 + 0*i**2.
-(i - 2)*(i - 1)*(3*i + 2)
Factor 0 + 3/4*k**2 - k**3 + 1/4*k**4 + 0*k.
k**2*(k - 3)*(k - 1)/4
Let d(o) = -2*o - 1. Let i = -3 - -1. Let x be d(i). Let -19*k + 4 - 2*k**3 + 16*k**2 - 4*k**x + 5*k = 0. What is k?
2/3, 1
Let b(m) be the first derivative of m**4/4 + m**3/3 - m**2/2 - m + 2. Solve b(j) = 0 for j.
-1, 1
Suppose 12 = 2*y - 4*h, -h = -3*y - 3*h + 10. Factor 1/2*s + 0 - 3/2*s**2 - 1/2*s**y + 3/2*s**3.
-s*(s - 1)**3/2
Let k(a) be the second derivative of -2*a**7/147 + 2*a**6/105 + 3*a**5/140 - a**4/42 - a**3/42 + 9*a. Factor k(y).
-y*(y - 1)**2*(2*y + 1)**2/7
Let v(t) be the first derivative of 1/300*t**6 + 0*t**5 + 0*t + 0*t**4 - 2 + 0*t**3 + 3/2*t**2. Let k(p) be the second derivative of v(p). Factor k(c).
2*c**3/5
Suppose -3*c = -c - 8. Suppose -3*a = 5*o - 19, -5*o - 3 = 2*a - 19. Factor -c*q**3 + 16*q**a - 2 + 0*q + 18*q**4 - 16*q**2 - 12*q.
2*(q - 1)*(q + 1)*(3*q + 1)**2
Find q, given that -8/5 + 16/5*q + 2*q**2 = 0.
-2, 2/5
Let c(f) be the first derivative of -1/120*f**4 + 0*f**2 - 1 + 0*f - 1/300*f**5 - 1/1800*f**6 - 2/3*f**3. Let q(t) be the third derivative of c(t). Factor q(z).
-(z + 1)**2/5
Let s be (-1 - 0)*24/(-8). Let i(u) be the third derivative of 0 - 1/24*u**s + 0*u + 1/480*u**6 - 1/96*u**4 + 1/240*u**5 - 3*u**2. Let i(x) = 0. What is x?
-1, 1
Let d = 8 + -12. Let s = 7 + d. Determine u, given that 15/4*u**3 + 3 + s*u - 39/4*u**2 = 0.
-2/5, 1, 2
Let p(u) be the first derivative of -u**3 + 3*u**2 - 3*u - 1. Factor p(y).
-3*(y - 1)**2
Let r(g) be the second derivative of g**6/300 - g**4/60 + 3*g**2/2 - 5*g. Let t(b) be the first derivative of r(b). Factor t(f).
2*f*(f - 1)*(f + 1)/5
Let l(q) be the first derivative of 2*q**6/15 + 4*q**5/5 + 5*q**4/4 - 2*q**3/3 - 2*q**2 + 8*q/5 - 6. Determine k, given that l(k) = 0.
-2, 1/2
Suppose 0 = -5*j + 2*r + 16, 0*j + 3*r = 3*j - 6. Let v(x) be the second derivative of 0 + 2*x - 1/10*x**j - 1/5*x**2 - 4/15*x**3. Factor v(d).
-2*(d + 1)*(3*d + 1)/5
Factor 50/9*u**5 - 16/9*u - 46/9*u**2 + 8/9 + 38/9*u**3 + 110/9*u**4.
2*(u + 1)**3*(5*u - 2)**2/9
Let p = 63 - 188/3. Let l(s) be the first derivative of 1 + s**2 + s + p*s**3. Factor l(f).
(f + 1)**2
Let d(z) = -6*z**3 + z**2 + 7. Suppose m = -3 - 11. Let l(k) be the second derivative of k**5/20 - k**2/2 - k. Let f(y) = m*l(y) - 2*d(y). Solve f(i) = 0.
-1, 0
Let c(b) be the second derivative of -b**5/9 - 19*b**4/54 - 11*b**3/27 - 2*b**2/9 - 10*b. Suppose c(m) = 0. Calculate m.
-1, -1/2, -2/5
Let u(s) = -s**2 - 5*s - 4. Let z be u(-4). Let f(l) be the second derivative of 0*l**5 + 1/30*l**4 + 0*l**3 + z + 2*l + 0*l**2 - 1/75*l**6. Factor f(x).
-2*x**2*(x - 1)*(x + 1)/5
Let w(b) = 3*b**2 - 53*b - 60. Let l(r) = 8*r**2 - 158*r - 180. Let k(n) = 2*l(n) - 7*w(n). Let k(d) = 0. Calculate d.
-1, 12
Let d be 12/18 - 44/69. Let z = 25/69 - d. Factor -z*j**2 + 0 + 1/3*j.
-j*(j - 1)/3
Let a be 1*2 - 258/198. Let n = a - 4/11. Determine u so that -2/3*u**3 - n*u**4 + 0*u - 1/3*u**2 + 0 = 0.
-1, 0
Let k(u) = -1. Let f(s) = s + 9. Let q(c) = f(c) + 6*k(c). Let d be q(0). Let 3*y**3 + 2*y**3 - 2*y**d - 2*y**3 + y**4 = 0. What is y?
-1, 0
Let n**2 + 11 + 2*n**2 - 23 = 0. What is n?
-2, 2
Let v(h) be the first derivative of -h**3/6 - 3*h**2/2 - 5*h/2 + 37. Factor v(y).
-(y + 1)*(y + 5)/2
Factor -3*b**2 - 372*b - 2*b**2 + 25 + 352*b.
-5*(b - 1)*(b + 5)
Suppose -u - u = 10, 4*u = -2*w - 8. Solve 5*o**2 - 9 + 11 - 1 - w*o = 0.
1/5, 1
Suppose -4*w + 19 - 3 = 0. Solve -4/11*h**3 - 2/11*h**5 - 6/11*h**w + 6/11*h + 2/11 + 4/11*h**2 = 0.
-1, 1
Factor -h + 12*h**2 + 13*h + 4 + 4*h**3 + 0*h.
4*(h + 1)**3
Suppose -16*k - 9*k**4 - 60*k**3 - 29*k**2 + 16*k**2 - 9*k**4 - 43*k**2 = 0. Calculate k.
-2, -2/3, 0
Factor 4/3*w**2 - 2/3*w**4 - 2/3 + 0*w**3 + 0*w.
-2*(w - 1)**2*(w + 1)**2/3
Let c(p) be the first derivative of -p**6/10 + p**5/4 - p**4/6 - 2*p + 4. Let s(l) be the first derivative of c(l). Factor s(d).
-d**2*(d - 1)*(3*d - 2)
Let w(p) be the first derivative of 1/4*p + 1/12*p**3 - 1/4*p**2 + 2. Factor w(d).
(d - 1)**2/4
Let t be (-3)/(2 - (-14)/(-4)). Let w be 12*(t - (-40)/(-21)). Solve 8/7*q + 2/7*q**3 - w*q**2 + 0 = 0.
0, 2
Let y(j) be the third derivative of -7*j**5/12 - 5*j**4/2 + 10*j**3/3 + 24*j**2. Factor y(i).
-5*(i + 2)*(7*i - 2)
Let q(y) be the second derivative of -y**8/840 + y**6/180 + y**3/3 + 4*y. Let t(g) be the second derivative of q(g). Solve t(i) = 0.
-1, 0, 1
What is f in 0 + 2/5*f**4 + 14/5*f**3 + 6*f**2 + 18/5*f = 0?
-3, -1, 0
Let z(c) = -11*c**4 + 11*c**3 + 5*c**2 + 17*c + 17. Let n(k) = -4*k**4 + 4*k**3 + 2*k**2 + 6*k + 6. Let s(w) = -17*n(w) + 6*z(w). Factor s(i).
2*i**2*(i - 2)*(i + 1)
Factor 10*b - 4*b**2 - 5*b - b + b**3.
b*(b - 2)**2
Let c = 14 - 9. Suppose 20 = -y + 4*n, c*n - 25 = -y - y. Determine m so that -7/4*m**2 + 1/2*m + y = 0.
0, 2/7
Let d = 11/30 + -1/5. Let s(n) be the third derivative of -d*n**4 + n**2 + 0 + 1/6*n**5 + 0*n**3 + 0*n. Let s(b) = 0. What is b?
0, 2/5
Solve -3/4 + 9/4*i**3 + 3/2*i**4 - 9/4*i - 3/4*i**2 = 0 for i.
-1, -1/2, 1
Let q(f) be the second derivative of -9*f**5/40 - f**4 - f**3 + f. Factor q(s).
-3*s*(s + 2)*(3*s + 2)/2
Let p = 383/485 + 1/97. Let a = -113/5 + 23. Solve -a + p*x - 4/5*x**3 + 2/5*x**2 = 0 for x.
-1, 1/2, 1
Let v(h) be the first derivative of 3*h - 1 + 5/4*h**3 + 3/16*h**4 + 3*h**2. Find q such that v(q) = 0.
-2, -1
Let f be (6*(-3)/(-3))/(7 - 5). Find k such that -441/4*k**5 - 799/4*k**f - 987/4*k**4 - 14*k - 1 - 305/4*k**2 = 0.
-1, -1/3, -2/7
Let s(m) = m**4 + m**3 + m**2 + m + 1. Let y(d) = 12*d**5 - 