2*g = -2*v + 4. Let f be -1*(g - -2)*-1. Find o such that 0 + 3*o**2 + 0*o + 5*o + f + 0*o = 0.
-1, -2/3
Factor -2/3*m**2 + 16/3*m + 0.
-2*m*(m - 8)/3
Let i(z) be the first derivative of 0*z - 1/3*z**2 + 7 - 1/9*z**3. Determine d, given that i(d) = 0.
-2, 0
Let w(u) be the second derivative of -u + 0*u**3 + 0 - 3/40*u**5 + 1/12*u**6 - 1/12*u**4 + 0*u**2. Factor w(g).
g**2*(g - 1)*(5*g + 2)/2
Let 3/5*v**4 - 21/5*v**3 + 12/5 + 9*v**2 - 39/5*v = 0. What is v?
1, 4
Suppose -w**4 + 5*w**5 + 6*w**4 - w**2 + w**3 - 2*w**5 = 0. Calculate w.
-1, 0, 1/3
Let k(d) be the first derivative of 5*d**4/4 - 5*d**3/3 - 5*d**2 - 1. Find a such that k(a) = 0.
-1, 0, 2
Let u be (-6)/24*-4 - 4/(-8). Let 0 + 1/4*j**5 - j**2 - j**4 + 1/4*j + u*j**3 = 0. Calculate j.
0, 1
Let t(h) = -h**3 - 7*h**2 + h + 9. Let o be t(-7). Factor 2*m + 2*m**o + 2*m - 2*m**2 - 6*m**2 + 2.
-2*(m - 1)*(3*m + 1)
Factor 4/7*f**2 - 24/7*f**4 + 0 + 0*f + 2*f**5 + 6/7*f**3.
2*f**2*(f - 1)**2*(7*f + 2)/7
Let o be (-64)/(-32)*(-3 + (-25)/(-8)). Factor 1/4 - 1/4*u**3 + 1/4*u - o*u**2.
-(u - 1)*(u + 1)**2/4
Let p be (87/(-58))/((-33)/4). Factor -2/11*h + 0 + p*h**2.
2*h*(h - 1)/11
Let u = 12 + -10. Let s(w) be the first derivative of -4*w + 2/3*w**3 - w**u - 3. Factor s(t).
2*(t - 2)*(t + 1)
Let g(l) be the third derivative of -l**6/720 + l**5/180 - l**4/144 + 9*l**2. Suppose g(w) = 0. Calculate w.
0, 1
Let m be ((-127)/6)/(7/39). Let p = 237/2 + m. Factor 0 - p*i**2 - 2/7*i - 2/7*i**3.
-2*i*(i + 1)**2/7
Let a(p) = -p**3 - 4*p**2 + 5*p + 3. Let w be a(-5). Suppose 0 = j + 4*k + 13, -5*j - k - w*k - 1 = 0. Factor j + 4*h + h**2 - 2*h - 2.
(h + 1)**2
Let f(t) be the second derivative of -3*t**5/130 - 2*t**4/39 + t**3/3 - 6*t**2/13 + 26*t. Suppose f(v) = 0. What is v?
-3, 2/3, 1
Suppose -h + 0 = 2*d + 1, 0 = 3*h + 15. Factor 30*q**d - 52*q + 0*q**3 - 7*q**3 + 16*q + 0*q**3 + 8.
-(q - 2)**2*(7*q - 2)
Let y(u) = -9*u - 52. Let a be y(-6). Let p(d) be the first derivative of -a*d - 3/2*d**2 + 1 - 1/3*d**3. Determine o so that p(o) = 0.
-2, -1
Let t(x) be the third derivative of x**8/1176 + x**7/735 - x**6/420 - x**5/210 - 2*x**2. Factor t(j).
2*j**2*(j - 1)*(j + 1)**2/7
Factor 1/3*m**3 - 1/3*m + m**2 - 2/3 - 1/3*m**4.
-(m - 2)*(m - 1)*(m + 1)**2/3
Let k(s) be the third derivative of 0*s + 1/18*s**5 - 2*s**2 + 1/180*s**6 + 4/9*s**3 + 2/9*s**4 + 0. Factor k(n).
2*(n + 1)*(n + 2)**2/3
Suppose 3*l = -l. Let g be (-6)/(-4) - -10*(-7)/84. Suppose -g*i + l - 2/3*i**2 = 0. Calculate i.
-1, 0
Let r be -1 - 10/24*-3. Find b, given that 0*b - 1/4*b**2 + r = 0.
-1, 1
Let p = -1 + 3. Let j = p + 0. Factor 8/3*b**3 + 2/3 + 4*b**j + 2/3*b**4 + 8/3*b.
2*(b + 1)**4/3
Let u(h) be the first derivative of h**5/5 + h**4/6 - h**3/9 + 1. Solve u(b) = 0 for b.
-1, 0, 1/3
Factor 2/9*o - 2/9*o**2 + 2/9 - 2/9*o**3.
-2*(o - 1)*(o + 1)**2/9
Suppose 18 = 3*s - 3*f, 2*f = -5*s - 0 - 5. Let k(b) be the first derivative of 0*b + 1/16*b**4 + 1/4*b**2 + 1/4*b**3 + s. Factor k(m).
m*(m + 1)*(m + 2)/4
Let d = 3 + 23. Let f be d/(-10) + 1 - -2. Find v, given that 9/5*v**2 + f*v + 7/5*v**3 + 0 = 0.
-1, -2/7, 0
Let v(t) be the third derivative of -t**5/210 - t**4/21 - 4*t**3/21 - 6*t**2. Suppose v(z) = 0. Calculate z.
-2
Factor 20*a**3 - 944*a**2 - 20*a + 13*a**4 + 908*a**2 + 15*a**4 + 8.
4*(a - 1)*(a + 1)**2*(7*a - 2)
Factor 0*d**2 + 0*d + 0 - 3/5*d**4 + 3/5*d**3.
-3*d**3*(d - 1)/5
Let y(f) be the third derivative of -f**6/24 + 2*f**5/3 - 35*f**4/8 + 15*f**3 + 12*f**2 + 1. Factor y(s).
-5*(s - 3)**2*(s - 2)
Let f(w) = -w**3 + 5*w**2 + 6*w + 2. Let j be f(6). Factor -4*l**3 + 6*l + 27*l**4 - 23*l**j - 4*l**2 - 2*l**3.
3*l*(l - 1)*(l + 1)*(9*l - 2)
Determine f, given that 0 - 41*f**3 + 24*f**2 + 21*f - 7*f**3 + 3 = 0.
-1/4, 1
Determine f so that 7*f**3 - 7*f**3 + f**4 + 4*f**2 - 7*f**2 - 2*f = 0.
-1, 0, 2
Suppose -5*s = 4*c - 12 - 6, 5*s = -3*c + 16. Find m such that -10/3*m**3 - 2/3*m**4 + 16/3 - 4*m**s + 8/3*m = 0.
-2, 1
Let b(c) be the second derivative of -c**8/1680 - c**7/420 - c**6/360 - c**3/6 + c. Let z(q) be the second derivative of b(q). Factor z(j).
-j**2*(j + 1)**2
Let n(s) be the third derivative of -s**7/1365 + s**6/780 + s**5/195 + 6*s**2. Suppose n(v) = 0. Calculate v.
-1, 0, 2
Let o = 0 - 1. Let i(l) = 7*l**3 + 8*l**2 + l - 6. Let x(c) = -c**3 - c**2 + 1. Let d(n) = o*i(n) - 6*x(n). What is f in d(f) = 0?
-1, 0
Let 0 + 1/6*i**2 + 0*i + 1/6*i**3 = 0. Calculate i.
-1, 0
Factor -13/3*z - 7/3*z**3 - 17/3*z**2 - 1.
-(z + 1)**2*(7*z + 3)/3
Let d(n) = -8*n**2 + n - 1 + 16*n**2 - 7*n**2. Let m(s) = 2*s**3 - 2*s**2 + 10*s - 6. Let v(p) = 4*d(p) - m(p). Factor v(a).
-2*(a - 1)**3
Let n(u) = -u**3 - 7*u**2 - 5*u + 6. Let g be n(-6). Let -1/4 + 1/2*d - 1/2*d**3 + g*d**2 + 1/4*d**4 = 0. What is d?
-1, 1
Suppose -x + 5 = 5*v, -4*v = x - 6*x - 4. Let b be (x + -2)/(-16 + 11). Factor b + 1/5*h**2 + 3/5*h.
(h + 1)*(h + 2)/5
Suppose -d + 173 + 118 = 0. Factor 291*m**2 - d*m**2 - 2*m**3 + 2*m.
-2*m*(m - 1)*(m + 1)
Let d = -4 + 7. Determine k, given that 3*k + d*k - 15*k**4 - 3*k**2 + 11*k**2 - 6*k**3 + 7*k**2 = 0.
-1, -2/5, 0, 1
Let j be 2*((-6)/2 - (2 - 6)). Solve 0*h + 2/5*h**j + 4/5*h**4 - 1/5*h**5 + 0 - h**3 = 0 for h.
0, 1, 2
Let o = -76 - 8. Let g be 3/(-12) + (-77)/o. Factor g*f**3 - 2/3*f**2 - 2/3*f + 2/3.
2*(f - 1)**2*(f + 1)/3
Suppose 0 = 5*u - 9 - 6. Let c = 739/14 + -105/2. Find w such that 2/7*w**u + 0 - c*w + 0*w**2 = 0.
-1, 0, 1
Suppose 0*o = 3*o + 3. Let s be 3*2/(-3)*o. Factor -1/2*m**s - 3*m - 9/2.
-(m + 3)**2/2
Let u = 79 + -155/2. Let v = 40 - 79/2. Factor 1 - 1/2*s**2 - v*s**4 + 3/2*s - u*s**3.
-(s - 1)*(s + 1)**2*(s + 2)/2
Let p(i) = -2*i + 2. Let m be p(2). Let b be (m + 1)*2*-2. Factor -9/5*o**b - 6/5*o**3 + 0*o**2 + 0 + 0*o.
-3*o**3*(3*o + 2)/5
Suppose -a**2 + 4*a**4 - 7*a**2 + 2*a**3 + 2*a**3 = 0. Calculate a.
-2, 0, 1
Let f be (4 - (-20)/(-6)) + 3 + -3. Determine x, given that 0*x + f*x**3 + 2/3*x**4 + 0 + 2/9*x**2 + 2/9*x**5 = 0.
-1, 0
Suppose -u = -2*u + 5*n + 32, 4*u - 3*n - 60 = 0. Determine c so that -14*c**4 - u*c + 6 + 28*c**3 - 12*c**2 + 2 + 2*c**4 = 0.
-2/3, 1
Let h be (-1)/3 + (-11)/((-792)/56). Factor 2/9*l**4 - 2/9 + h*l**3 + 0*l**2 - 4/9*l.
2*(l - 1)*(l + 1)**3/9
Let h(y) be the second derivative of -y**5/10 + 2*y**4/21 + y**3/7 + 31*y - 2. Determine b so that h(b) = 0.
-3/7, 0, 1
Let w(i) be the first derivative of 1/3*i**4 - 1/15*i**5 - 1/3*i + 2/3*i**2 - 2/3*i**3 + 1. Factor w(v).
-(v - 1)**4/3
Let b(k) be the second derivative of k**7/14 + k**6/5 - 3*k**5/10 - k**4 + k**3/2 + 3*k**2 + 2*k. Determine g, given that b(g) = 0.
-2, -1, 1
Let -10*s**2 - 3*s**4 - 3*s**3 - 4*s**5 + 13*s**2 + 7*s**5 = 0. What is s?
-1, 0, 1
Let r(u) = u - 16. Let m be r(13). Let z(w) = w**2 + 4*w + 3. Let t be z(m). Factor t*k + 0 + 2/7*k**2.
2*k**2/7
Factor 2 + 9*l**2 + 0 - 3*l - 8*l**2.
(l - 2)*(l - 1)
Let y(a) be the third derivative of a**5/450 - a**4/90 + 5*a**2. Find r such that y(r) = 0.
0, 2
Let j(n) be the second derivative of -n**4/6 - n**3 - 2*n**2 + 16*n. Factor j(z).
-2*(z + 1)*(z + 2)
Factor 10*i**3 - 2*i**4 - 2*i**4 - 6*i**2 - 30*i**2 + 14*i**3.
-4*i**2*(i - 3)**2
Let 2 + 5/2*z**2 + 4*z + 1/2*z**3 = 0. Calculate z.
-2, -1
Let x = -3 + 19. Suppose o + x = 5*o. Factor -l**2 - o*l**3 - 3*l**2 - 2*l**4 + 2*l**2.
-2*l**2*(l + 1)**2
Let t(r) = r - 2. Let m be t(4). Let x be 1/(((-10)/15)/((-12)/45)). Factor x*i**m - 4/5*i + 2/5.
2*(i - 1)**2/5
Let r(i) = i**4 - 128*i**3 - 2178*i**2 - 15968*i - 43923. Let w(k) = 2*k**4 - 127*k**3 - 2178*k**2 - 15967*k - 43923. Let m(v) = -5*r(v) + 4*w(v). Factor m(l).
3*(l + 11)**4
Suppose 0 = -4*u - g + 8, -3*g - 6 = -3*u + g. Let b = -82/3 - -28. Factor 0*t + 0 + b*t**u.
2*t**2/3
What is x in 0*x + 0 + 0*x**3 - 2/9*x**4 - 2/9*x**5 + 0*x**2 = 0?
-1, 0
Let k(q) = -q**2 - 20*q - 33. Let x be k(-18). Solve 9/4*z**x + 0 - 9/4*z**2 - 3/4*z**4 + 3/4*z = 0 for z.
0, 1
Let x(m) be the first derivative of -m**4/12 + m**3/6 + 7*m - 5. Let t(i) be the first derivative of x(i). Factor t(h).
-h*(h - 1)
Let h(x) = 4*x**4 - 6*x**3 - 5*x**2 - 7. Let i be ((-4)/6)/((-1)/(-3)). Let v(y) = y**4 - y**3 - y**2 - 1. Let f(t) = i*h(t) + 14*v(t). Factor f(m).
2*m**2*(m - 1)*(3*m + 2)
Let o(m) be the third derivative of -m**5/45 - m**4/9 + 9*m**2. Factor o(p).
-4*p*(p + 2)/3
Let y = 2 + -15. Let x = 13 + y