
Let s = -15 + 9. Let d(u) = 0 + u**2 - u**4 - 3 + 2*u - 4*u - u**5. Let k(q) = q**5 + q + 2. Let n(m) = s*k(m) - 4*d(m). Solve n(v) = 0.
-1, 0, 1
Factor 0*f**2 + 7*f**5 - 81*f**4 - 12*f**3 + 72*f**4 + 4*f**2.
f**2*(f - 2)*(f + 1)*(7*f - 2)
Let p = -44 - -47. Solve 1/5*q**2 - 1/5*q**4 + 1/5*q**p - 1/5*q + 0 = 0.
-1, 0, 1
Let f be -2*(-3 - (1 + -3)). Factor -2*m**2 + 14*m**2 - 8*m**2 - 7*m**f - 4 - 8*m.
-(m + 2)*(3*m + 2)
Let w = 4/21 + 1/7. Let x(n) be the first derivative of 1/4*n**4 + 0*n + w*n**3 + 0*n**2 - 1. Factor x(o).
o**2*(o + 1)
Factor 0 + 1/2*z**2 + z.
z*(z + 2)/2
Let j(l) be the first derivative of 5*l**4/4 + 25*l**3/3 - 5*l**2/2 - 25*l - 40. Find m, given that j(m) = 0.
-5, -1, 1
Let x(u) be the second derivative of -u**4/66 - u**3/33 - 6*u. Factor x(r).
-2*r*(r + 1)/11
Factor -6/11*b - 2/11*b**2 + 8/11.
-2*(b - 1)*(b + 4)/11
Factor 0 - 2*x**2 - 12/7*x + 2/7*x**4 + 0*x**3.
2*x*(x - 3)*(x + 1)*(x + 2)/7
Let u = 8/51 + 3/17. Factor 0*a + u*a**2 + 0.
a**2/3
Let w(k) = k**3 - 5*k**2 + 6*k - 1. Let n be w(4). Let a be 68/10*(-75)/(-90). Determine s so that -4/3 + n*s**4 - a*s**2 + 3*s**5 - 16/3*s + 7/3*s**3 = 0.
-1, -2/3, 1
Let h be (-3 - -4)/(((-2)/(-2))/2). Let u(y) be the first derivative of -2 + 5/2*y**h + y + 4/3*y**3. Factor u(m).
(m + 1)*(4*m + 1)
Solve 22*t**3 - 16*t + 16 - 6*t**3 - 4*t**5 - 20*t**2 + 4*t**4 + 4*t**3 = 0 for t.
-2, -1, 1, 2
Let i(h) be the first derivative of h**4/4 + h**3 + 3*h**2/2 + h + 5. Factor i(l).
(l + 1)**3
Let z(x) be the first derivative of -x**6/60 - x**5/10 - x**4/6 + 3*x**2/2 + 2. Let v(t) be the second derivative of z(t). Let v(n) = 0. What is n?
-2, -1, 0
Let a(r) be the first derivative of -25*r**4/12 + 25*r**3/9 + 2*r**2/3 - 4*r/3 - 14. Factor a(d).
-(d - 1)*(5*d - 2)*(5*d + 2)/3
Let w(p) be the first derivative of 2 - 1/9*p**3 + 0*p**2 + 1/15*p**5 + 0*p + 0*p**4. Factor w(j).
j**2*(j - 1)*(j + 1)/3
Let j(d) be the second derivative of d**7/189 + d**6/135 - d**5/90 - d**4/54 - 2*d. What is l in j(l) = 0?
-1, 0, 1
Suppose 3*h + 10*h = 12*h. Find a, given that h + 4/5*a + 2/5*a**3 - 6/5*a**2 = 0.
0, 1, 2
Find l, given that 6/19*l - 4/19 + 4/19*l**2 = 0.
-2, 1/2
Let o(z) be the second derivative of -z**4/96 - z**3/48 + z**2/8 + z. Factor o(l).
-(l - 1)*(l + 2)/8
Let r(x) be the second derivative of -x**4/4 - x**3 - 3*x**2/2 - 7*x. Suppose r(d) = 0. What is d?
-1
Let p = 883/33 + -56/11. Let s = 22 - p. Find r, given that 4/3*r**2 + s + 4/3*r = 0.
-1/2
Suppose -3*b + 208 = -2*f, 4*b = 5*f - 0*f + 520. Let g be 2/(-10) - f/120. Find w such that 4/3*w**2 - 2/3*w + 0 - g*w**3 = 0.
0, 1
Factor -2*s**2 + 256*s - 266*s + 48*s**2 - 35*s**5 - 135*s**3 + 19*s**2 + 115*s**4.
-5*s*(s - 1)**3*(7*s - 2)
Let v(i) be the second derivative of i**5/10 + i**4/2 + 2*i**3/3 - 2*i. Suppose v(r) = 0. Calculate r.
-2, -1, 0
Let v(n) be the second derivative of -n**6/135 + n**5/90 - n. Factor v(t).
-2*t**3*(t - 1)/9
Factor 2*f**2 + 5*f + 8 - 11*f - 4*f**2 + 0*f**2.
-2*(f - 1)*(f + 4)
Let l(z) be the second derivative of -4*z**7/105 + 3*z**6/25 - 3*z**5/25 + z**4/30 - 19*z. Solve l(h) = 0 for h.
0, 1/4, 1
Factor 32/5*s**2 + 0*s - 4/5*s**4 - 28/5*s**3 + 0.
-4*s**2*(s - 1)*(s + 8)/5
Let c = -20 + 21. Suppose 0*p**3 + c + 3*p**2 - 175*p + 4*p**3 + 178*p - 3*p**3 = 0. What is p?
-1
Let h(w) be the second derivative of -w**7/147 + 3*w**5/70 + w**4/21 + 6*w. Let h(x) = 0. What is x?
-1, 0, 2
Let m be (-10)/(-6) + 8/24. Let -m*j**3 - 6*j**2 + 10*j - 7*j + 5*j**3 = 0. What is j?
0, 1
Let k = 314/5 + -62. Determine s, given that 2/5 - 6/5*s - 6/5*s**4 + 4/5*s**3 + k*s**2 + 2/5*s**5 = 0.
-1, 1
Factor -4/3 + 2/3*y**2 + 2/3*y.
2*(y - 1)*(y + 2)/3
Let i(v) = 30*v**4 + 95*v**3 + 119*v**2 + 59*v + 5. Let j(z) = -15*z**4 - 47*z**3 - 59*z**2 - 29*z - 2. Let p(u) = 4*i(u) + 7*j(u). Let p(t) = 0. What is t?
-1, -2/5
Let t be 1/(-2)*(-84)/14. Factor b**2 - 3*b**3 + b**t + b**2 + 0*b**3.
-2*b**2*(b - 1)
Let w = -49/2 - -26. Let u(j) be the first derivative of j**3 + j - 1 - w*j**2 - 1/4*j**4. What is z in u(z) = 0?
1
Let f(g) = -6*g**2 + 4*g + 2. Let k(h) be the first derivative of 3/2*h**2 - 5/3*h**3 + 1 + 2*h. Let l(o) = -3*f(o) + 4*k(o). Factor l(t).
-2*(t - 1)*(t + 1)
Let u = 12 - 9. Determine n so that 3*n**3 + 2*n**5 - 4*n**5 - 3*n**4 - 2*n**3 + n + u*n**2 + 0*n = 0.
-1, -1/2, 0, 1
Let b = 3 - -1. Suppose -x**3 - 3*x**3 - 12*x**2 + 3 + 4*x**b - 11 + 15*x + 5*x = 0. What is x?
-2, 1
Let w(u) = -2*u**2 - 4*u - 2. Let b(d) be the third derivative of -d**5/20 - d**4/6 - d**3/2 + 2*d**2. Let j(o) = -4*b(o) + 5*w(o). Factor j(c).
2*(c - 1)**2
Factor 0*t**2 - 2/9*t**4 + 0 + 0*t**3 + 0*t.
-2*t**4/9
Let s(j) be the first derivative of 5*j**5/3 + 10*j**4 + 184*j**3/9 + 16*j**2 + 16*j/3 + 12. Factor s(h).
(h + 2)**2*(5*h + 2)**2/3
Let y(s) be the first derivative of 0*s - 2/3*s**3 - 3/2*s**4 + 1/3*s**6 + 2 + 2/5*s**5 + 2*s**2. Solve y(k) = 0 for k.
-2, -1, 0, 1
Let t be 3 + -13*2/12. Let q(i) be the first derivative of -t*i**3 - 1/8*i**4 + 2 - 2*i**2 - 2*i. Find v, given that q(v) = 0.
-2, -1
Let s(h) be the third derivative of 1/210*h**7 - 1/60*h**5 + h**2 + 0*h + 0 - 1/672*h**8 + 1/48*h**4 + 0*h**6 + 0*h**3. Solve s(i) = 0.
-1, 0, 1
Factor -4/17*m + 2/17*m**2 + 0.
2*m*(m - 2)/17
Let y(g) be the first derivative of 4*g**3/15 + 7*g**2/5 + 6*g/5 + 20. Factor y(u).
2*(u + 3)*(2*u + 1)/5
Suppose -3*h - 40 = 3*j + j, 2*h + 24 = -4*j. Let r = -13 - h. Factor 0 + 4*a**r + 1/2*a - 11/4*a**2 - 7/4*a**4.
-a*(a - 1)**2*(7*a - 2)/4
Let s(d) be the second derivative of -1/3*d**2 + 2/9*d**3 - 1/18*d**4 + d + 0. Factor s(a).
-2*(a - 1)**2/3
Factor 1 - 38*u**2 + 4 + 33*u**2.
-5*(u - 1)*(u + 1)
Let m(h) be the third derivative of h**9/80640 + h**8/8960 + h**7/3360 + 7*h**5/60 - 4*h**2. Let x(b) be the third derivative of m(b). Solve x(n) = 0 for n.
-2, -1, 0
Let s(m) be the second derivative of -m**6/90 - m**5/30 - m**4/36 + 4*m. Determine d so that s(d) = 0.
-1, 0
Let j(x) be the third derivative of x**7/11340 - x**6/1080 + x**5/270 - 7*x**4/24 + 2*x**2. Let l(u) be the second derivative of j(u). Factor l(c).
2*(c - 2)*(c - 1)/9
Let v = 149/4 + -983/28. Find d, given that -15/7*d**4 - 3/7*d**3 + v*d**2 - 6/7*d + 0 + 9/7*d**5 = 0.
-1, 0, 2/3, 1
Factor -4 + 8*o + 4*o**2 + 4*o**2 - 12*o**2.
-4*(o - 1)**2
Let w(z) = -z**3 - z**2. Let s(v) = -v**4 - 7*v**3 - 7*v**2. Let x(k) = -s(k) + 3*w(k). Suppose x(c) = 0. Calculate c.
-2, 0
Let b be 10/(-6)*(-8)/100. Let u(l) be the first derivative of -1/6*l**4 + 0*l**2 + b*l**5 + 1/9*l**6 + 0*l - 2/9*l**3 - 2. Let u(x) = 0. Calculate x.
-1, 0, 1
Let b(o) = -1 + 11*o**2 + 9*o**3 + 6*o**2 - 12*o + 24*o. Let m(t) = 28*t**3 + 52*t**2 + 36*t - 4. Let l(r) = -16*b(r) + 5*m(r). Factor l(f).
-4*(f + 1)**3
Factor 0*j**2 + 4/9*j**3 - 64/9 - 16/3*j.
4*(j - 4)*(j + 2)**2/9
Let b(y) = 3*y**2 - 3. Let f(v) = v**3 + v**2 - v - 1. Let s(m) = b(m) - 3*f(m). Solve s(r) = 0.
-1, 0, 1
Let m(h) = h + 12. Let a be m(-9). Factor 6*b**3 - a*b**2 + b - b.
3*b**2*(2*b - 1)
Let f = -40298 - -281530/7. Let t = f - -80. Let t*a + 0 - 2*a**4 - 4/7*a**3 + 2*a**2 = 0. Calculate a.
-1, -2/7, 0, 1
Let x(v) = 2*v**2 + 19*v + 13. Let j be x(-9). Let m(i) be the second derivative of 0*i**2 + 1/60*i**j - 1/30*i**3 - i + 0. Factor m(o).
o*(o - 1)/5
Suppose -163*c + 168*c - 10 = 0. Determine u, given that 0*u**c + 6/11*u**4 + 0 - 4/11*u**3 - 2/11*u**5 + 0*u = 0.
0, 1, 2
Let y(x) = -x**2 - 15*x - 14. Let n be y(-14). Factor 2/7*p**4 + 0*p**3 - 6/7*p**2 - 4/7*p + n.
2*p*(p - 2)*(p + 1)**2/7
Let l(n) be the first derivative of -5/6*n**3 + 1/2*n**5 - 1/2*n**2 - 1 + 0*n + 1/4*n**4. Factor l(h).
h*(h - 1)*(h + 1)*(5*h + 2)/2
Let k(x) = -x**4 - x + 1. Let s(y) = -8*y**4 + 16*y**3 + 24*y**2 + 4*y + 16. Let d(q) = 12*k(q) - s(q). Solve d(n) = 0 for n.
-1
Let d(q) be the third derivative of q**6/300 - q**5/25 + q**4/5 - 8*q**3/15 + 5*q**2. Solve d(l) = 0 for l.
2
Let v = -23/4 - -6. Let b(x) = x**3 - x**2 - x + 2. Let y be b(0). Suppose v + 0*o - 1/4*o**y = 0. What is o?
-1, 1
Let f(q) be the first derivative of 10*q**3/3 - 7*q**2 + 4*q + 7. Factor f(o).
2*(o - 1)*(5*o - 2)
Let i(d) be the second derivative of d**7/336 - d**6/240 - 3*d**5/160 + d**4/96 + d**3/24 + 5*d. Suppose i(y) = 0. What is y?
-1, 0, 1, 2
Factor 2/5*m**4 - 2/5*m**2 + 4/5*m + 0 - 4/5*m**3.
2*m*(m - 2)