6*x + 27 - 33. Determine v, given that -x + 3/4*v**2 - 1/4*v**4 + 1/2*v**3 - v = 0.
-1, 2
Let d(j) be the first derivative of -j**6/15 - j**5/10 + j**4/6 + j**3/3 - 3*j + 9. Let a(f) be the first derivative of d(f). Factor a(t).
-2*t*(t - 1)*(t + 1)**2
Suppose -z - 2 = -4. Let x(l) = l**2 + 3*l - 2. Let h be x(-4). Determine r, given that 4*r**z - 2*r**3 - h*r**2 - r**2 + 0*r**2 = 0.
0, 1/2
Determine o so that 4/5*o + 1/5*o**2 + 4/5 = 0.
-2
Let x = -25 - -15. Let h be (8/(-40))/(4/x). Find u such that 1/2*u + 0 + h*u**3 + u**2 = 0.
-1, 0
Determine v, given that 0 - 3/2*v**3 + 2*v + 0*v**2 - 1/2*v**4 = 0.
-2, 0, 1
Factor 6 + 7*c**2 + 8*c**2 - 15*c - 3*c**2 - 3*c**3.
-3*(c - 2)*(c - 1)**2
Factor 12*h**3 + 16*h**4 + 0*h**4 + 30*h**5 + 4*h**2 - 16*h - 26*h**5 - 20*h**2.
4*h*(h - 1)*(h + 1)*(h + 2)**2
Let k(q) be the first derivative of 3*q**3/4 + q**2/4 - 13. Factor k(c).
c*(9*c + 2)/4
Let n(q) be the second derivative of q**5/15 + q**4/9 - 2*q**3/9 - 2*q**2/3 - 2*q. Solve n(m) = 0.
-1, 1
Let g(m) = m**3 - m**2 - m - 1. Let n(k) = 3*k**3 - 3*k**2 - 6*k - 6. Let p(c) = 6*g(c) - n(c). Factor p(w).
3*w**2*(w - 1)
Let v(i) = -i**3 + 4*i**2 + i - 2. Let z be v(4). Let l be 0 + z/(3 + -2). Factor 1/4 + 5/4*u + 3/4*u**3 + 7/4*u**l.
(u + 1)**2*(3*u + 1)/4
Suppose 2*o = -3*y + 1, -5*y - 11 = -3*o - 0*o. Solve 4*z**2 - z + 8*z - z + 3 - z**o = 0 for z.
-1
Let -21/5*w**3 + 3/5*w - 12/5*w**4 + 0 - 6/5*w**2 = 0. Calculate w.
-1, 0, 1/4
Suppose 0*s**3 - 4 - 4*s + s**2 + 12*s**3 - 11*s**3 = 0. Calculate s.
-2, -1, 2
Let k(a) = a**2 + a. Let t be k(2). Let -4*h**2 - t*h - h + 6*h**2 + 3*h + 2*h**3 = 0. What is h?
-2, 0, 1
Let w be (-35)/(-20) - 2/(-8). Suppose -a + 2 = 4*r - 2, 3*a - 12 = -2*r. Solve r*t**3 + 4*t + 0*t + 10*t**w + 6*t**3 = 0.
-1, -2/3, 0
Let q(j) be the third derivative of -j**8/840 - j**7/210 + j**5/30 + j**4/12 + j**3/6 + 2*j**2. Let l(g) be the first derivative of q(g). Factor l(n).
-2*(n - 1)*(n + 1)**3
Let y(r) be the third derivative of r**5/20 + r**4/4 - 3*r**3/2 + 39*r**2. What is u in y(u) = 0?
-3, 1
Let n = 5 - 7. Let p = 0 - n. Factor -2*g - 3*g**p - 8*g**3 + 6*g**3 + 7*g**2.
-2*g*(g - 1)**2
Suppose 5*y - 3*n = 4, -4*y + 3*n = -2*y + 2. Factor -2*c**3 - 2*c**4 + 2*c + 11*c**2 + 0*c**3 - 9*c**y.
-2*c*(c - 1)*(c + 1)**2
Let r = -133 - -137. Factor -2/5*h**3 + 2/5*h**r + 0 + 0*h - 4/5*h**2.
2*h**2*(h - 2)*(h + 1)/5
Let z(x) be the first derivative of -x**5/5 + x**4 - 4*x**3/3 - 17. Suppose z(y) = 0. Calculate y.
0, 2
Let v(p) be the first derivative of -1/20*p**4 + 4/5*p - 4/5*p**2 + 4 + 1/3*p**3. Factor v(k).
-(k - 2)**2*(k - 1)/5
Suppose 4 - 1/2*p**2 + 7/2*p = 0. What is p?
-1, 8
Suppose -4*u = -0*u. Let k(c) be the third derivative of u*c**3 + 7/60*c**5 - 2*c**2 + 0 + 1/12*c**4 + 0*c. Suppose k(w) = 0. Calculate w.
-2/7, 0
Suppose 0 = -b - 1 + 6. Suppose 2*m**b + 0*m**2 - 2*m**3 + 2*m**2 - 2*m**4 + 0*m**2 = 0. Calculate m.
-1, 0, 1
Let h(v) = -v**3 - 5*v**2 - 2*v - 6. Let z be h(-5). Factor 5*k**2 - 3*k**2 - 4*k - 2*k**2 - k**2 - z.
-(k + 2)**2
Let j(b) be the second derivative of b**7/168 + 7*b**6/24 + 49*b**5/8 + 1715*b**4/24 + 12005*b**3/24 + 16807*b**2/8 + 16*b. Determine s so that j(s) = 0.
-7
Suppose -5*c - 55 = -3*k - 0*c, 0 = 4*k + 5*c - 50. Let v = 17 - k. Factor -4/7*a - 2/7*a**v + 2/7*a**3 + 0.
2*a*(a - 2)*(a + 1)/7
Let r(q) be the first derivative of 4/5*q**2 + 7 - 2/15*q**3 - 6/5*q. Factor r(k).
-2*(k - 3)*(k - 1)/5
Let f(r) be the second derivative of -r**4/60 + 2*r**3/15 + 4*r. Factor f(t).
-t*(t - 4)/5
Suppose -5*r + 32 = -3*t + 7, 0 = 5*r - 5*t - 15. Let i = r + -6. Factor -3*q**5 + i*q**5 - 3*q + 2*q**3 + 2*q.
-q*(q - 1)**2*(q + 1)**2
Let x(w) = -3*w. Suppose 0 = o - b + 4, 3*b = o + o + 11. Let l be x(o). Solve -l*f**2 + f**3 + 2*f**2 - 4*f + f**4 + 3*f = 0 for f.
-1, 0, 1
Let h(s) be the first derivative of s**4/8 + s**3/3 - 2*s**2 + 6. Let h(m) = 0. What is m?
-4, 0, 2
Factor s**3 + 6*s**3 + 6*s - 3*s**2 - 6*s**2 - 4*s**3.
3*s*(s - 2)*(s - 1)
Let u(o) be the first derivative of -o**3/6 + o**2/4 + o - 6. Suppose u(z) = 0. What is z?
-1, 2
Let j(x) be the third derivative of -2*x**7/525 - x**6/100 + x**5/50 + 7*x**4/60 + x**3/5 - 3*x**2. Determine n, given that j(n) = 0.
-1, 3/2
What is z in 3/5 + z**2 - 7/5*z - 1/5*z**3 = 0?
1, 3
Let a(s) be the third derivative of -s**5/15 + s**4/3 - 2*s**3/3 - 7*s**2. What is z in a(z) = 0?
1
Let m(p) be the second derivative of p**7/56 + p**6/135 - p**5/90 - 4*p**3/3 - 11*p. Let a(c) be the second derivative of m(c). Factor a(n).
n*(5*n + 2)*(9*n - 2)/3
Solve -20 + 0*f**3 - 30*f**2 + 0*f**3 + 40*f + 5*f**2 + 5*f**3 = 0.
1, 2
Suppose -4*a + 10 = -c, 5*a - 10 = -4*c + 13. Factor -432/5*r - 4/5*r**4 - 216/5*r**c - 48/5*r**3 - 324/5.
-4*(r + 3)**4/5
Let b = 8 + -7. Let d(t) = t**3 - t. Let w be d(b). Suppose 0 - 10/7*j**5 + 4/7*j**4 + w*j + 10/7*j**3 - 4/7*j**2 = 0. Calculate j.
-1, 0, 2/5, 1
Suppose -4*o - u + 0*u = -4, -4*u = 3*o + 10. Factor -3*v**4 + 3*v**2 + v**4 - 4*v + 3*v**o.
-2*v*(v - 1)**2*(v + 2)
Let h(j) = -j**3 - j**2. Let t(u) = -36*u**3 + 40*u**2 - 32*u + 4. Let q(i) = 12*h(i) - t(i). Factor q(m).
4*(m - 1)**2*(6*m - 1)
Let y(k) = -k**2 + 16*k - 15. Let x(q) = q**2 - 32*q + 31. Let z(i) = -6*x(i) - 10*y(i). Factor z(t).
4*(t - 1)*(t + 9)
Let o = 1 + 2. Let b(p) be the first derivative of 1 + 9*p**2 - 4*p - 14/3*p**o. Suppose b(t) = 0. What is t?
2/7, 1
Let s be 4/(-8) - 17/(-2). Let p = -8 + s. Determine k, given that -k + k**4 + 3*k + p - 2*k**3 - 1 = 0.
-1, 1
Let m = 24 + -18. Let v be 3/(-6) + 3/m. Factor v*n - 1/4*n**2 + 0.
-n**2/4
Factor -2*u**3 - 28*u + 0*u**2 - 6*u**2 + 24*u.
-2*u*(u + 1)*(u + 2)
Let c(a) = a**2 + 13*a - 4. Let u(f) = -2*f**2 - 20*f + 6. Let l(p) = -p**3 + 10*p**2 - 9*p - 5. Let m be l(9). Let t(j) = m*u(j) - 8*c(j). Factor t(w).
2*(w - 1)**2
Suppose 2*c - 4*c = -0*c. Let m(a) be the second derivative of 0 - 1/12*a**4 + c*a**2 - a + 0*a**3. Factor m(u).
-u**2
Let r(h) = h**3 - 14*h**2 + 2*h - 26. Let z be r(14). Let v = -3 - -6. Factor -2/9*c + 2/9*c**v - 2/9 + 2/9*c**z.
2*(c - 1)*(c + 1)**2/9
Suppose 0 = -3*n + x + 56, 2*x + x = -6. Let k = -18 + n. Factor -2/9*f**5 + k - 2/9*f**3 + 4/9*f**4 + 0*f + 0*f**2.
-2*f**3*(f - 1)**2/9
Let 10*z**2 - 25*z**4 - 10*z**3 - 18*z + 28*z**2 - 2*z + 37*z**2 - 20 = 0. What is z?
-2, -2/5, 1
Suppose 0*d + 0 + 1/5*d**2 = 0. What is d?
0
Factor -8 + 38*s**3 - 68*s**2 + 57*s + 5*s**5 - 10 - 10*s**4 - 4*s**5.
(s - 3)**2*(s - 2)*(s - 1)**2
Let l(t) be the third derivative of 25*t**8/336 - t**7/6 - 13*t**6/24 + 11*t**5/12 + 5*t**4/3 - 10*t**3/3 - 63*t**2. What is j in l(j) = 0?
-1, 2/5, 1, 2
Suppose -4*w + w + 6 = 5*c, -3*w + 6 = 3*c. Find d, given that 2*d**3 + 0 + 2*d**2 - 3/2*d**4 + c*d = 0.
-2/3, 0, 2
Suppose 1 = -2*z + 5*i - 0, 0 = 5*z - 3*i - 7. Let n(a) be the third derivative of -1/3*a**3 + a**z + 0 + 0*a + 1/30*a**5 + 0*a**4. Let n(r) = 0. Calculate r.
-1, 1
Suppose 12 = -r + 4*r. Let 2*x**2 + 14*x - 13*x**2 - 4 + 52*x**r + 10*x**3 - 7*x**2 - 54*x**4 = 0. Calculate x.
1, 2
Suppose -16 = -5*h - 11. Let d be (-3)/h*(-2)/15. Factor -4/5 - 6/5*u - d*u**2.
-2*(u + 1)*(u + 2)/5
Let t = 12 + -9. Factor -6*j**2 - 9*j**3 + t*j**3 + 0*j - 3 + 9*j**4 + 9*j + 4*j**5 - 7*j**5.
-3*(j - 1)**4*(j + 1)
Suppose 5*k - 58 = -24*k. Factor k*w**2 - 3/2*w**3 + 0 - 1/2*w.
-w*(w - 1)*(3*w - 1)/2
Let w be 1/(-2) - (-8)/16. Let b = 5/33 + 1/33. Solve 0 + 0*g**4 + w*g**2 + 0*g - 2/11*g**5 + b*g**3 = 0.
-1, 0, 1
Let w be (4/10)/((-264)/(-120)). What is b in 2/11 - 2/11*b**2 + w*b - 2/11*b**3 = 0?
-1, 1
Let v(g) = 13*g - 13. Let q be v(1). Factor q*n - 16/5*n**2 + 4/5*n**5 + 32/5*n**3 - 4*n**4 + 0.
4*n**2*(n - 2)**2*(n - 1)/5
Solve 1/5*a**2 - 4/5 + 0*a = 0 for a.
-2, 2
Let u be 1/(-6) - 3/(-6). Factor 0 + 1/3*t**4 + 1/3*t - u*t**3 - 1/3*t**2.
t*(t - 1)**2*(t + 1)/3
Let b = 106 + -104. Factor 17/4*y**3 + 11/4*y - 5/4*y**4 - 21/4*y**b - 1/2.
-(y - 1)**3*(5*y - 2)/4
Let n(y) = -y**4 - y. Let m(c) = -3*c**4 - 6*c**3 + 9*c**2 - 4*c. Let g(k) = m(k) - 4*n(k). Factor g(l).
l**2*(l - 3)**2
Suppose -2*x = -2*r - 4 - 36, -x - 3*r = 0. Determine h so that -3*h**3 - x + 16 + 7*h**2 - 3*h - 2*h = 0.
1/3, 1
Let d(o) = 3*o + 69. Let j be d(-22). Suppose 2/5*b**j + 0*b**2 + 0 - 2/5*b = 0. Calculate b.
-1, 0, 1
Let b(c) be the third derivative of 0 -