*n - 2. Suppose o(g) = 0. What is g?
-6
Let q(y) be the first derivative of 3*y**3 + 6*y**2 + 3/5*y**5 + 8 - 3*y**4 - 12*y. Let q(b) = 0. What is b?
-1, 1, 2
Let f = -128 + 130. Determine x so that 2/5 - 2/5*x**4 + 4/5*x + 0*x**f - 4/5*x**3 = 0.
-1, 1
Let a(c) be the second derivative of c**7/21 + c**6/3 + 2*c**5/5 + 2*c - 31. Factor a(z).
2*z**3*(z + 1)*(z + 4)
Let f(z) be the third derivative of -z**6/30 - 2*z**5/3 - 25*z**4/6 - 10*z**2. Factor f(w).
-4*w*(w + 5)**2
Let o(u) be the second derivative of 7*u**5/40 - u**4/2 + u**3/4 + u**2/2 + 7*u. Let o(d) = 0. Calculate d.
-2/7, 1
Let y(c) be the second derivative of c**8/840 - c**7/105 + c**6/30 - c**5/15 + c**4/12 + c**3/2 + 3*c. Let t(a) be the second derivative of y(a). Factor t(i).
2*(i - 1)**4
What is m in 9*m**4 + 12*m**4 + 5*m**3 - 3*m**3 - 8*m**2 - 20*m**4 = 0?
-4, 0, 2
Let h = 7 + 7. Suppose 0 = -q - 0*g + 4*g - h, -q + 2*g - 6 = 0. Factor 0*d + q*d**2 - 2*d + 0*d**2.
2*d*(d - 1)
Factor 2/3*k**4 - 10*k**2 - 46/3*k - 2/3*k**3 - 20/3.
2*(k - 5)*(k + 1)**2*(k + 2)/3
Let v = 387 - 751. Let f be 4/18 + v/(-63). Factor 3*c - 4 + 2*c - f*c**3 + 4*c**2 - 3*c + 4*c.
-2*(c - 1)*(c + 1)*(3*c - 2)
Let x = 1447/5 - 289. Determine a, given that x*a**3 + 8/5*a**2 + 4/5 + 2*a = 0.
-2, -1
Let j be (-2)/(((-10)/(-50))/(1/(-2))). Let -1/3*t**4 + 1/3*t**2 - 1/3*t**3 + 0 + 0*t + 1/3*t**j = 0. Calculate t.
-1, 0, 1
Let x(j) = j**3 - j - 1. Let s(c) = 2*c**3 - 3*c**2 - 5*c - 5. Suppose 28 = 5*f + 2*n + 1, 0 = -5*f - 3*n + 28. Let a(o) = f*x(o) - s(o). What is i in a(i) = 0?
-1, 0
Determine b so that 3*b**3 - 4*b + 33 - 29 + b**3 - 4*b**2 = 0.
-1, 1
Let 0*f**3 + 0*f + 1/6 - 1/3*f**2 + 1/6*f**4 = 0. What is f?
-1, 1
Suppose 1193*l**2 - 1195*l**2 - 1 + 1 = 0. What is l?
0
Let v(y) be the first derivative of 3*y**4/8 - y**3/2 + 9. Factor v(z).
3*z**2*(z - 1)/2
Suppose 3*i = -2*k + 14, -i = k + 2*k. Let x = i + -4. Factor -13*r + 19*r**4 - 6*r**4 + 9*r**4 - 5*r**5 + 32*r**x + 2 - 38*r**3.
-(r - 1)**4*(5*r - 2)
Suppose -5*h + h = 0. Let z(u) = -u**3 + 11*u**2 - 11*u + 10. Let k be z(10). Let 2/5*t**4 + h - 2/5*t**5 + 0*t**2 + k*t + 0*t**3 = 0. What is t?
0, 1
Let j(h) be the first derivative of 14*h**3/45 + 4*h**2/5 - 8*h/15 - 26. Find m such that j(m) = 0.
-2, 2/7
Let x(d) be the third derivative of -d**5/15 + d**4/3 + d**2. Factor x(j).
-4*j*(j - 2)
Let s(w) = 9*w**3 - 3*w**2 - 12*w + 8. Let g(x) = x**3 - x + 1. Let n(r) = 40*g(r) - 5*s(r). Let n(o) = 0. What is o?
-1, 0, 4
Let h(l) be the first derivative of -9*l**5/25 - 3*l**4/4 + 2*l**3/5 - 56. Find x, given that h(x) = 0.
-2, 0, 1/3
Let r = -45 + 47. Factor -2/5*w + 2/5*w**r + 0.
2*w*(w - 1)/5
Suppose 4*i = 5*i - 2*i. Factor i*p + 1/3*p**3 + 1/3*p**2 + 0.
p**2*(p + 1)/3
Factor -30/7*t**2 + 2*t**3 + 0 + 4/7*t.
2*t*(t - 2)*(7*t - 1)/7
Let x be (-27)/45 - (-2 + (-2 - -3)). Factor 54/5 - x*j**3 + 18/5*j**2 - 54/5*j.
-2*(j - 3)**3/5
What is i in -45*i**2 + 9*i**3 - 7*i**3 - 225*i + 0*i**3 - 375 - 5*i**3 = 0?
-5
Let s(w) = -6*w**3 - 5*w**2 - w + 2. Let y(t) = 49*t**3 + 40*t**2 + 8*t - 17. Let f(z) = -51*s(z) - 6*y(z). Determine g so that f(g) = 0.
-1, -1/4, 0
Let b(x) = -11*x**2 + x + 3. Let j(c) = -10*c**2 + 2. Let h be 1/(2*(-3)/(-18)). Let o(g) = h*j(g) - 2*b(g). Factor o(w).
-2*w*(4*w + 1)
Let x(h) be the second derivative of h**7/6 + 13*h**6/30 - h**5/10 + h - 11. Factor x(w).
w**3*(w + 2)*(7*w - 1)
Let y(i) be the first derivative of -5*i**4/32 + i**3/12 + 5*i**2/16 - i/4 - 51. Determine f so that y(f) = 0.
-1, 2/5, 1
Let r(x) be the second derivative of 0 - x - x**2 - 5/6*x**3 + 7/12*x**4. Factor r(k).
(k - 1)*(7*k + 2)
Let v(i) be the second derivative of i**5/270 - i**4/36 + 2*i**3/27 + i**2 + 2*i. Let r(w) be the first derivative of v(w). What is o in r(o) = 0?
1, 2
Factor 0 + 1/2*n**3 + 0*n**2 + 0*n.
n**3/2
Factor 2/7*d**2 + 2/7*d + 0.
2*d*(d + 1)/7
Let u(n) be the third derivative of -n**9/1512 - n**8/420 + n**6/90 + n**5/60 + 2*n**3/3 - 3*n**2. Let g(v) be the first derivative of u(v). Factor g(y).
-2*y*(y - 1)*(y + 1)**3
Factor 24/5*d**2 + 2/5*d**4 + 0 - 16/5*d - 12/5*d**3.
2*d*(d - 2)**3/5
Find z such that -12*z**2 - 8/3 + 28/3*z + 20/3*z**3 - 4/3*z**4 = 0.
1, 2
Let y be (40/(-18))/(-1) - (27 - 25). Factor y*r**2 + 0 + 2/9*r.
2*r*(r + 1)/9
Let r(i) be the second derivative of 0*i**3 + 0*i**2 - 3/20*i**5 + 0 + 2*i + 1/10*i**6 + 1/14*i**7 - 1/4*i**4. Determine o, given that r(o) = 0.
-1, 0, 1
Let m(b) be the first derivative of -b + 1 - 1/2*b**2 - 1/48*b**4 + 1/6*b**3. Let u(k) be the first derivative of m(k). Suppose u(l) = 0. Calculate l.
2
Factor 13/4*y + 7/2 - 1/4*y**2.
-(y - 14)*(y + 1)/4
Let i(v) be the second derivative of 3*v + 0 + 25/42*v**7 + v**4 + 0*v**2 - 11/20*v**5 + 2/3*v**3 - v**6. Factor i(z).
z*(z - 1)**2*(5*z + 2)**2
Let d(q) be the third derivative of q**6/30 - q**4/2 + 4*q**3/3 - 7*q**2. Factor d(p).
4*(p - 1)**2*(p + 2)
Let a(b) = b**3 + 2*b**2 - b + 3. Let f be a(-3). Let z be (-2 - -2)/(-5 - f). Factor m**2 + 4*m**4 + z*m**4 + 5*m**2 + 6*m**3 + 2*m - 2*m**4.
2*m*(m + 1)**3
Let d(g) be the third derivative of 1/20*g**5 - 1/4*g**4 + 6*g**2 + 0 + 0*g - 3/2*g**3. Solve d(f) = 0.
-1, 3
Let m(y) = -4*y - 80. Let u be m(-20). Find q such that -25/4*q**5 - 15/2*q**4 - q + 3*q**2 + u + 11/4*q**3 = 0.
-1, 0, 2/5
Factor 3/5*p**2 - 3/5*p**3 + 2/5*p - 2/5*p**4 + 0.
-p*(p - 1)*(p + 2)*(2*p + 1)/5
Suppose 3*n - 9 = -j + 7*n, -j = -3*n - 8. Suppose 72*t + 48*t**4 + 177*t**5 - 178*t**3 - j - 51*t**5 - 11 - 12*t**2 = 0. What is t?
-1, 2/7, 2/3
Suppose 5*i - 2*f = 31 + 17, 0 = -2*i + 5*f + 36. Suppose i*d - 6 - 10 = 0. Solve -1/4*s**d + 0*s + 0 = 0.
0
Suppose 0 = -2*n - 4*c + 4, -3*c - 6 = -5*n + 4. Factor 2*b**2 + n + 3*b + b + 6*b - 6*b.
2*(b + 1)**2
Suppose 3*d = -4*d. Let h(x) be the second derivative of 0 + 1/42*x**4 + d*x**2 + 1/70*x**5 - 1/21*x**3 + 2*x - 1/105*x**6. Factor h(c).
-2*c*(c - 1)**2*(c + 1)/7
Let p(n) be the first derivative of 24*n - 21/4*n**4 + 3 + 18*n**3 + 3/5*n**5 - 30*n**2. Suppose p(k) = 0. Calculate k.
1, 2
Let g(r) be the second derivative of -r**4/48 + 5*r**3/24 - r. Factor g(u).
-u*(u - 5)/4
Let w(n) be the first derivative of 0*n**2 + 2/3*n**3 - 3/4*n**4 - 2 + 1/5*n**5 + 0*n. Factor w(z).
z**2*(z - 2)*(z - 1)
Let l(q) be the second derivative of 0 + 1/15*q**5 - 1/9*q**3 + 2*q - 1/3*q**2 - 1/63*q**7 - 1/45*q**6 + 1/9*q**4. Solve l(a) = 0 for a.
-1, 1
Let t(u) = -u**3 + 5*u**2 + 5. Let v be t(5). Let o = 7 - v. Factor -f + 4 - 4*f - f + o*f**2.
2*(f - 2)*(f - 1)
Let u be ((-27)/162)/(3/(-9)). Suppose -5/4*w**2 - u + 7/4*w = 0. Calculate w.
2/5, 1
Let u(o) be the third derivative of -o**5/45 + 5*o**4/18 - 24*o**2. Factor u(h).
-4*h*(h - 5)/3
Suppose 2*b - 15*b + 65 = 0. Suppose -8/7*r**2 - 12/7*r**3 - 8/7*r**4 - 2/7*r + 0 - 2/7*r**b = 0. What is r?
-1, 0
Factor -4 + 5*m**2 - 23*m**2 - 1 + 13*m**2 - 10*m.
-5*(m + 1)**2
Let p(n) be the third derivative of n**9/483840 - n**8/53760 + n**6/1440 + 7*n**5/60 + n**2. Let r(u) be the third derivative of p(u). Factor r(d).
(d - 2)**2*(d + 1)/8
Suppose 0*i + 4*i**3 + 0*i - 4 + 4*i**2 - 4*i + 0*i = 0. Calculate i.
-1, 1
Factor -1/2*w**3 + 1/2*w + 0 + 7/4*w**4 - 7/4*w**2.
w*(w - 1)*(w + 1)*(7*w - 2)/4
Suppose 2/9*m - 4/9 + 2/9*m**5 + 8/9*m**2 - 4/9*m**4 - 4/9*m**3 = 0. Calculate m.
-1, 1, 2
Determine l, given that 13/3*l**2 - 2*l**3 + 1/3*l**4 + 4/3 - 4*l = 0.
1, 2
Solve -1/6*b - 1/6*b**2 + 0 = 0 for b.
-1, 0
Suppose 4*m - 4 = -3*c, -42*m - 2*c = -41*m - 1. Factor -1/2*d - 1/2*d**2 + m.
-(d - 1)*(d + 2)/2
Let d be (20/25)/(4/10). Factor -52*k**4 - 9*k**2 - 3*k**5 + 57*k**4 - 3*k**3 + d*k**5.
-k**2*(k - 3)**2*(k + 1)
Suppose w - 3*w = -6. Factor 21*x**w + 8*x**3 - 105*x**2 + 66*x + 3*x**3 + 25*x**2 - 18.
2*(x - 1)*(4*x - 3)**2
Let q = -2/35 + 12/35. Solve -2/7*x**4 + q*x - 4/7 - 2/7*x**3 + 6/7*x**2 = 0 for x.
-2, -1, 1
Let 150 - 60*h**2 + 585*h + 173*h**2 + 64*h**2 + 39*h**2 + 21*h**3 = 0. Calculate h.
-5, -2/7
Suppose -5/8*i - 1/4 + 27/2*i**3 + 39/8*i**2 = 0. What is i?
-1/3, -1/4, 2/9
Let h be (-3 + 2 - 1)*3. Let d = -1 - h. Factor -3/2*a**d - 15/2*a - 15*a**3 + 15*a**2 + 15/2*a**4 + 3/2.
-3*(a - 1)**5/2
Let t(a) be the first derivative of a**6/3 - 6*a**5/5 + 3*a**4/2 - 2*a**3/3 + 4. Solve t(d) = 0 for d.
0, 1
Suppose 2*s - s - 2 = 0. Factor 3 - 2 + 31*t**s - 30*t**2 + 2*