What is p in 16/7*p**2 + 76/7*p**3 + a*p + 0 + 2*p**5 + 74/7*p**4 = 0?
-4, -1, -2/7, 0
Let v(z) = -6*z**3 + 3*z. Let m(w) = w**3 + 4*w**2. Let d(o) = -3*o**3 - 11*o**2. Let k(g) = -4*d(g) - 11*m(g). Let b(p) = -3*k(p) - v(p). Solve b(x) = 0.
-1, 0, 1
Let w be ((-4)/14)/(-2 - (-212)/112). Solve 0 - w*g**5 + 40/3*g**4 - 22*g**3 + 40/3*g**2 - 8/3*g = 0.
0, 1/2, 2
Let x(j) be the first derivative of j**4/54 + j**3/27 - 4*j + 6. Let k(h) be the first derivative of x(h). Factor k(a).
2*a*(a + 1)/9
Let p(a) = a**3 + 6*a**2 + 3*a - 7. Let g be p(-5). Suppose g*w + w = 4. Solve -2*n**3 + w - 8*n - 8*n**2 - 1 = 0.
-2, 0
Find y such that -1/6 + 1/6*y**2 - 1/6*y**3 + 1/6*y = 0.
-1, 1
Let u(j) be the third derivative of -j**8/15680 + j**6/1680 - j**4/4 - 6*j**2. Let s(r) be the second derivative of u(r). Solve s(k) = 0.
-1, 0, 1
Let n = 24 - 16. Let 14*q**5 - 8*q**2 - 8/7*q - 90/7*q**3 + n*q**4 + 0 = 0. Calculate q.
-1, -2/7, 0, 1
Let w be 2/8 + (-27)/(-4). Factor 16*q**2 + 2 - 9*q - q**4 - 2*q**5 + 2*q**5 - 14*q**3 + w*q**4 - q**5.
-(q - 2)*(q - 1)**4
Suppose 0 = -r - 3*r + 20. Suppose 0*a - 5*a + 20 = 0. Factor -5/2*x**a - 5/2*x - r*x**3 - 1/2*x**5 - 1/2 - 5*x**2.
-(x + 1)**5/2
Suppose -4*a = -a - 27. Factor 78*s**4 + 3 + a - 17*s**4 - 108*s - 378*s**3 + 86*s**4 + 327*s**2.
3*(s - 1)**2*(7*s - 2)**2
Let v(d) be the second derivative of -d**5/10 + d**4/6 + 5*d**3/3 + 3*d**2 - 9*d. Factor v(i).
-2*(i - 3)*(i + 1)**2
Determine s, given that 380 + 12*s + 3*s**3 - 380 + 12*s**3 + 3*s**4 + 24*s**2 = 0.
-2, -1, 0
Find x such that 0 + 0*x - 1/5*x**2 = 0.
0
Let z(m) be the first derivative of -2 + 0*m**2 + m + 1/6*m**4 + 2/3*m**3. Let l(r) be the first derivative of z(r). Suppose l(f) = 0. Calculate f.
-2, 0
Let l(u) be the first derivative of 3*u**4/8 - u**3/2 - 3*u**2/4 + 3*u/2 + 2. Let l(n) = 0. Calculate n.
-1, 1
Let o(z) be the third derivative of 2*z**7/105 - 2*z**5/15 + 2*z**3/3 + 4*z**2. Solve o(c) = 0.
-1, 1
Let y = 8 - 17. Let t = 14 + y. Determine h so that 4/9*h**3 - 2/9*h**t + 0*h**4 - 2/9*h + 0*h**2 + 0 = 0.
-1, 0, 1
Factor -1/4*b - 1/2*b**2 + 1/4*b**3 + 1/2.
(b - 2)*(b - 1)*(b + 1)/4
Let u(p) = -p**2 + 2. Let q = -4 + 4. Let s be u(q). Solve w**2 + 3*w**2 - s*w - 2*w**2 - 4 = 0.
-1, 2
Let w(c) = c. Let q(v) = -7*v**2 + 5*v. Let s(u) = 4*q(u) - 12*w(u). Factor s(h).
-4*h*(7*h - 2)
Determine t, given that 9/8*t - 3/8*t**2 - 3/4 = 0.
1, 2
Let p(j) be the third derivative of 1/135*j**7 - 1/135*j**5 + 1/108*j**6 + 0 + 0*j + 0*j**4 - 3*j**2 + 0*j**3. Find h such that p(h) = 0.
-1, 0, 2/7
Let b = -124 - -124. Let 0*r + 0*r**2 + 2/9*r**3 - 2/9*r**4 + b = 0. What is r?
0, 1
Factor 3/2*w**3 - 3/2*w - 3/2*w**2 + 0 + 3/2*w**4.
3*w*(w - 1)*(w + 1)**2/2
Let y = -9/43 + 269/258. Let -2/3*l + y*l**3 - l**2 - 1/6*l**4 + 4/3 = 0. What is l?
-1, 2
Let r(b) = 5*b - 7. Let k be r(6). Let k*m**3 - 7 + 8*m**2 - 10*m + 4*m**3 - 7*m**3 - 4*m**4 + 3 - 10*m**5 = 0. Calculate m.
-1, -2/5, 1
Let v(z) be the second derivative of -3/2*z**2 + 0 + 2/21*z**3 + 2*z - 1/210*z**5 + 1/84*z**4. Let u(x) be the first derivative of v(x). Factor u(l).
-2*(l - 2)*(l + 1)/7
Factor -2 - 2 - 3*a**5 + 3*a**3 - 3*a**4 + 3*a**2 + 4.
-3*a**2*(a - 1)*(a + 1)**2
Let h(r) be the first derivative of -r**6/15 + 6*r**5/25 - r**4/5 - 1. Factor h(t).
-2*t**3*(t - 2)*(t - 1)/5
Let m = -59 - -355/6. Let q(p) be the first derivative of 2 - 1/4*p**2 + 0*p + m*p**3. Factor q(i).
i*(i - 1)/2
Factor 3/5*g + 0 + 3/5*g**3 - 6/5*g**2.
3*g*(g - 1)**2/5
Let x be 4/8 - 1/(2/(-3)). Factor 1/3*z**x + 2/3*z + 1/3.
(z + 1)**2/3
Let m = -2 + 4. Suppose 4*b = 4 + 4. Solve 0*i**2 + i**2 - m*i**3 + b*i - 2*i**2 + 1 = 0 for i.
-1, -1/2, 1
Suppose 25*a - 27*a = -6. Determine h so that -1/3*h**a + 0*h**2 + 0*h + 0 = 0.
0
Factor -2/11*o**5 - 6/11*o**3 + 2/11*o**2 + 0*o + 0 + 6/11*o**4.
-2*o**2*(o - 1)**3/11
Let a(i) be the first derivative of -3*i**7/70 + 7*i**6/50 - 3*i**5/20 + i**4/20 - 4*i + 3. Let k(t) be the first derivative of a(t). Factor k(f).
-3*f**2*(f - 1)**2*(3*f - 1)/5
Find f, given that 0*f - 9/4*f**3 + 3/4*f**2 + 0 - 3/4*f**5 + 9/4*f**4 = 0.
0, 1
Let h be (-3)/6*4 - -4. Suppose -6*r = -h*r - 16. Factor 0 + 1/4*l**2 + 1/2*l**3 + 0*l + 1/4*l**r.
l**2*(l + 1)**2/4
Factor 5*b**2 + 6*b**3 - 3*b - 3*b**3 - 1 + 4*b.
(b + 1)**2*(3*b - 1)
Let a(f) = 10*f**2 - 11*f - 18. Let u(y) = -5*y**2 + 6*y + 8. Let i(l) = 6*a(l) + 11*u(l). What is z in i(z) = 0?
-2, 2
Let u(n) be the third derivative of -n**8/13440 + n**7/1680 - n**6/720 - 3*n**4/8 + 7*n**2. Let j(s) be the second derivative of u(s). Factor j(p).
-p*(p - 2)*(p - 1)/2
Let u(v) be the first derivative of 1/6*v**3 + 2 + 1/2*v**2 + 0*v. Find s, given that u(s) = 0.
-2, 0
Let m(y) be the first derivative of 1/8*y**2 + 1/16*y**4 + 0*y + 7 - 1/6*y**3. Factor m(g).
g*(g - 1)**2/4
Let j(s) = 14*s**3 + 7*s**2 - 11*s - 4. Let n(a) = 42*a**3 + 22*a**2 - 32*a - 12. Let q(l) = -10*j(l) + 3*n(l). Factor q(b).
-2*(b - 1)*(b + 1)*(7*b + 2)
Let j(z) = z**3 + z. Let g(a) = 4*a**3 + 3*a**2 + 3*a. Suppose o + 7 = 2*o. Let m = o + -6. Let c(l) = m*g(l) - 5*j(l). Suppose c(u) = 0. Calculate u.
0, 1, 2
Let j(k) be the first derivative of -9*k**4/4 + 2*k**3 + 9*k**2/2 - 6*k - 1. Factor j(r).
-3*(r - 1)*(r + 1)*(3*r - 2)
Suppose -3*j + 4*c = -j + 20, -5*j + 3*c - 15 = 0. Factor j - 1/3*q + 1/3*q**2.
q*(q - 1)/3
Let v(f) be the second derivative of -f**5/270 + f**4/27 - 4*f**3/27 + 3*f**2 + 3*f. Let x(c) be the first derivative of v(c). Let x(g) = 0. Calculate g.
2
Factor 2*j**5 - 2*j**3 - 29*j**4 + 29*j**4.
2*j**3*(j - 1)*(j + 1)
Let w(n) be the first derivative of 2*n**6/27 + 32*n**5/45 + 25*n**4/9 + 152*n**3/27 + 56*n**2/9 + 32*n/9 + 1. Determine m, given that w(m) = 0.
-2, -1
Let m(s) be the second derivative of 1/24*s**4 + 0*s**2 + 0 + 2*s + 1/6*s**3. What is k in m(k) = 0?
-2, 0
Let n(z) be the second derivative of z**7/11340 - z**6/1080 + z**5/270 - z**4/3 + 3*z. Let a(i) be the third derivative of n(i). Solve a(l) = 0.
1, 2
Let f be ((-1)/(-24))/(-3 - 27/(-6)). Let u(a) be the second derivative of 1/9*a**3 - 1/6*a**2 + a + 0 - f*a**4. Factor u(i).
-(i - 1)**2/3
Suppose -4*n = -7 - 5. What is s in 3 - n + s + 2*s**2 + s = 0?
-1, 0
Let z be ((-4)/20*0)/(-1). Let c(j) = j**3. Let l be c(0). Factor 1/5*u**3 + z*u**2 + l - 1/5*u.
u*(u - 1)*(u + 1)/5
Let f = -4 - -6. Suppose -11 = 2*c + 3*v, -v - f = 4*c - 5. Suppose 0 - 1/2*s**3 + 0*s - 1/2*s**4 + 1/2*s**c + 1/2*s**5 = 0. What is s?
-1, 0, 1
Let l(v) be the third derivative of v**6/720 - v**5/80 + v**4/24 - v**3/2 - 3*v**2. Let y(b) be the first derivative of l(b). Factor y(o).
(o - 2)*(o - 1)/2
Let d(g) = g + 2. Let f be d(0). Factor 3*o - 4 - 10*o**2 + 12*o**f - 5*o.
2*(o - 2)*(o + 1)
Let h = -4 - -9. Suppose 3 = -h*q + 13. Find c such that -1/4*c**q + 1/4 + 0*c = 0.
-1, 1
Let h(r) be the second derivative of 1/2*r**4 + 0 - 6*r - 3/10*r**6 - 3/20*r**5 + 0*r**3 + 0*r**2. Suppose h(s) = 0. What is s?
-1, 0, 2/3
Let h(u) = u**3 + 6*u**2 - 3*u - 9. Let o be h(-6). Determine q, given that 2 - q**3 - 3*q**3 - 6*q - o*q**2 - 3 = 0.
-1, -1/4
Let y be (0/(-1))/(6/(-2)). Let w be y/(2*(2 - 1)). Suppose w*v**2 + 4*v**2 - 2*v**2 = 0. What is v?
0
Let m = 17 + -14. Factor -j**2 + j**2 - 11*j + 9*j + 2*j**m.
2*j*(j - 1)*(j + 1)
Let q = 91/206 + 6/103. Suppose 2 = -3*r + 4*g, -16 = -5*g - 6. Determine h so that -q*h**r + h + 3/2 = 0.
-1, 3
What is b in -5*b - 7*b - 3*b**2 - 12 - b + b = 0?
-2
Let h(t) = 4*t**3 + 6*t**2 - 7*t + 9. Let n(p) = -2*p**3 - 3*p**2 + 3*p - 4. Let s be (10/15)/((-2)/(-12)). Let u(c) = s*h(c) + 9*n(c). Factor u(a).
-a*(a + 1)*(2*a + 1)
Suppose y - 8 + 7 = 0. Let j(v) be the first derivative of 3/2*v**2 + 1/4*v**4 + v + v**3 - y. Factor j(z).
(z + 1)**3
Let a(y) = y**3 + 11*y**2 + 18*y + 3. Let m be a(-9). Let i(t) be the first derivative of 1 + 1/12*t**4 + 0*t + 1/6*t**2 - 2/9*t**m. Factor i(d).
d*(d - 1)**2/3
Suppose 0 = 436*r - 427*r - 27. Solve 16/3*w - 8/3 - 10/3*w**2 + 2/3*w**r = 0 for w.
1, 2
Let x(s) be the third derivative of s**6/60 + s**5/15 + s**4/12 - s**2. Find v, given that x(v) = 0.
-1, 0
Let g(w) be the first derivative of -w**5/10 - w**4/8 + w**3/6 + w**2/4 - 7. Factor g(x).
-x*(x - 1)*(x + 1)**2/2
Suppose 18*n**3 + 48/7*n**2 - 4/7 - 10/7*n = 0. Calculate n.
-1/3, 2/7
Let a(c) be the third derivative of c**3 +