3 + p + 3*p**4 + 5*p**2 - 2*p**2 - 2*p**4 = 0.
-1, 0
Suppose 2/3*w**2 + 0 + 14/3*w**4 + 0*w - 10/3*w**3 - 2*w**5 = 0. What is w?
0, 1/3, 1
Let z(q) be the first derivative of 32*q**6/9 - 32*q**5/5 + 3*q**4 - 4*q**3/9 - 14. Factor z(w).
4*w**2*(w - 1)*(4*w - 1)**2/3
Factor -2/3*m**5 + 2/3*m**3 - 2/3*m**2 + 0 + 2/3*m**4 + 0*m.
-2*m**2*(m - 1)**2*(m + 1)/3
Suppose x + 2*x = -15. Let d = x - -8. What is i in 5/3*i - 2/3 - 4/3*i**2 + 1/3*i**d = 0?
1, 2
Let r(d) be the second derivative of d**5/36 + d**4/12 + d**3/18 + d**2/2 - 3*d. Let b(p) be the first derivative of r(p). Factor b(c).
(c + 1)*(5*c + 1)/3
Let s(m) = -m**3 - 22*m**2 - 19*m + 42. Let a be s(-21). Let r(w) be the second derivative of 0*w**4 + 1/21*w**3 + a + 0*w**2 - 3*w - 1/70*w**5. Factor r(d).
-2*d*(d - 1)*(d + 1)/7
Let i be (12/8)/(2/4). Let 4*l - 2 + 2*l**2 + 4 - 3*l**2 + i*l**2 = 0. What is l?
-1
Suppose 3*c = -g + 4*c + 1, 3*g - c - 5 = 0. Factor 5*j - 7*j**g - j**2 - j + 4*j**3.
4*j*(j - 1)**2
Let w be (3/(-10))/(10/((-200)/36)). Let f(t) be the first derivative of 0*t**2 - 4/27*t**3 + 3 - 2/45*t**5 + w*t**4 + 0*t. Factor f(a).
-2*a**2*(a - 2)*(a - 1)/9
Let a(z) be the first derivative of 0*z**3 + 0*z + 1/60*z**4 + z**2 - 1 - 2/75*z**5. Let q(g) be the second derivative of a(g). Factor q(d).
-2*d*(4*d - 1)/5
Let v(b) = b + 7. Let r be v(-10). Let o be (-2)/4*(-3 - r). Factor 2/5 + o*f - 2/5*f**2.
-2*(f - 1)*(f + 1)/5
Let y(k) be the first derivative of k**3/3 + 3*k**2/2 - 3*k + 43. Let l(x) = -x**2 - 2*x + 3. Let h be -1 + 6 + 1 + -1. Let i(j) = h*l(j) + 4*y(j). Factor i(a).
-(a - 3)*(a + 1)
Let g(n) = 20*n**3 + 48*n**2 + 8*n - 20. Let j(f) = 0 - 4 + 0*f**2 + f**2 + 3. Let l(r) = -g(r) + 20*j(r). Factor l(w).
-4*w*(w + 1)*(5*w + 2)
Let j(z) be the second derivative of -z**4/6 + z**3 - 2*z**2 - 7*z. Solve j(x) = 0.
1, 2
Let w(r) be the third derivative of r**8/5376 + r**7/1260 - r**6/720 + r**4/8 + 4*r**2. Let g(v) be the second derivative of w(v). Factor g(y).
y*(y + 2)*(5*y - 2)/4
What is w in 3*w**3 - 2*w**2 - 2*w + 6*w**2 + 0*w**3 - w**3 - 4 = 0?
-2, -1, 1
Let c be 84/119*1*6. Let b = 716/153 - c. Factor 0 + 2/9*p**2 + b*p.
2*p*(p + 2)/9
Factor -4/11*i**2 + 2/11*i + 0 + 2/11*i**3.
2*i*(i - 1)**2/11
Let s(y) be the third derivative of 0*y + 1/18*y**3 + 5*y**2 + 1/240*y**6 - 1/1260*y**7 - 1/48*y**4 + 0 - 1/360*y**5. Let s(i) = 0. What is i?
-1, 1, 2
Let o(p) be the first derivative of -p**5/60 - p**4/6 - 2*p**3/3 + p**2 - 1. Let n(z) be the second derivative of o(z). Let n(y) = 0. Calculate y.
-2
Let o = -11 - -16. Suppose -b = 4*g - 74, 43 = 3*g + b - 13. Factor -6*y**5 - 4*y**5 + 0*y**o - g*y**3 + 4*y - 2*y**2 + 26*y**4.
-2*y*(y - 1)**3*(5*y + 2)
Let v(b) be the second derivative of -b**8/672 + b**7/420 + b**6/240 - b**5/120 - b**2 + b. Let z(l) be the first derivative of v(l). Factor z(f).
-f**2*(f - 1)**2*(f + 1)/2
Suppose 32 = 5*b - 3*q, 4*q - 10 = -26. Let m(k) be the first derivative of 1 + 0*k - 21/8*k**b - 3/2*k**2 - 9/2*k**3. Factor m(j).
-3*j*(j + 1)*(7*j + 2)/2
Let y(b) = -18*b**5 - 3*b**4 + 12*b**3 + 3*b**2 + 3*b. Let c(f) = -17*f**5 - 4*f**4 + 13*f**3 + 4*f**2 + 2*f. Let i(q) = -3*c(q) + 2*y(q). Solve i(p) = 0.
-1, -2/5, 0, 1
Factor -2/3*o - 4/5 + 2/15*o**2.
2*(o - 6)*(o + 1)/15
Let h(c) = 21*c**4 + 25*c**3 - 17*c**2 - 29*c - 4. Let t(y) = y + 9 - 2*y - 8 - 2*y**2 + y**2 - y**3. Let v(z) = h(z) - 2*t(z). What is u in v(u) = 0?
-1, -2/7, 1
Let o(l) = 1. Let u(g) = -9*g**2 + g + 9. Let q(p) = -18*o(p) + 2*u(p). Solve q(z) = 0 for z.
0, 1/9
Determine m, given that 1/7*m**4 + 0 - 4/7*m + 8/7*m**2 - 5/7*m**3 = 0.
0, 1, 2
Let r(u) = u**2 - 9*u - 7. Let s be r(10). Suppose -4*c - 3*h + 19 = -16, 2*c = -5*h + 35. Solve 4*n**c - 5*n**5 - s*n**4 + 2*n**4 = 0 for n.
-1, 0
What is h in 4*h**4 + 154*h + 20*h**2 + 145*h - 16*h**3 - 307*h = 0?
0, 1, 2
What is b in 3/2 + 3/2*b**2 + 3*b = 0?
-1
Factor -3*g**2 - 3/4*g**3 + 0 - 3*g.
-3*g*(g + 2)**2/4
Let q(b) be the first derivative of -b**3 - 24*b**2 - 192*b + 4. Factor q(d).
-3*(d + 8)**2
Let h = 9 - -3. Let -4*m**2 + 2 - h*m + 0*m**2 - 10 = 0. What is m?
-2, -1
Let c(z) = -9*z**4 + 21*z**3 - 9*z**2 - 12*z + 3. Let i(j) = -10*j**4 + 21*j**3 - 8*j**2 - 12*j + 4. Let w(t) = -4*c(t) + 3*i(t). Factor w(g).
3*g*(g - 2)**2*(2*g + 1)
Let u(s) be the second derivative of s**7/2940 - s**6/315 + s**5/84 - s**4/42 - s**3/3 + 6*s. Let n(i) be the second derivative of u(i). Factor n(z).
2*(z - 2)*(z - 1)**2/7
Let p = 2 + -10. Let w be ((-2)/p)/(14/16). Determine b so that -2/7*b**2 + w*b + 4/7 = 0.
-1, 2
Let q(c) = -3*c**4 - 7*c**3 + 3*c**2 + 5*c. Let o(b) = -14*b**4 - 36*b**3 + 14*b**2 + 25*b. Let u(t) = -2*o(t) + 11*q(t). Factor u(i).
-5*i*(i - 1)*(i + 1)**2
Let z(u) be the third derivative of 0*u**4 - 1/540*u**6 + 0 + 0*u**5 + 2*u**2 + 0*u - 1/945*u**7 + 0*u**3. Factor z(b).
-2*b**3*(b + 1)/9
Suppose i - 2 - 2 = 0, 4*n + 3*i - 28 = 0. Suppose -n*w + 3*w = -4. Factor -6*t**3 + 9*t**2 - 2*t + 2*t**w + t**4 - 3*t**3 - t.
3*t*(t - 1)**3
Let w(l) be the second derivative of l + 4/21*l**4 + 1/7*l**2 + 8/35*l**5 + 0 - 1/3*l**3. Factor w(h).
2*(h + 1)*(4*h - 1)**2/7
Let i = 5 + 5. Suppose 0 = -3*k - f - f, i = -k - 4*f. Factor -o**4 + 3*o**2 + k*o**4 + 2*o - 2*o**4.
-o*(o - 2)*(o + 1)**2
Let h(l) be the third derivative of l**5/135 - l**4/108 - l**3/27 - 12*l**2. Determine s, given that h(s) = 0.
-1/2, 1
Determine a so that 20*a - a**3 - 4*a**3 + 4*a**2 + 22 - 42 + a**2 = 0.
-2, 1, 2
Let i(v) be the first derivative of -3*v**6/10 + 6*v**5/5 - 7*v**4/4 + v**3 + 4*v + 3. Let n(u) be the first derivative of i(u). Factor n(s).
-3*s*(s - 1)**2*(3*s - 2)
Let x(g) = g**2 + g - 3. Let z be x(-3). Let -6*f**3 + 4*f**5 - 6*f**z - 4 - 4*f**4 + 8*f**2 + 2*f**5 + 6*f = 0. What is f?
-1, 2/3, 1
Let k(w) be the third derivative of w**6/720 - w**4/48 + w**3/2 - 3*w**2. Let r(j) be the first derivative of k(j). Suppose r(l) = 0. Calculate l.
-1, 1
Let p(f) = -f**2 - 6*f + 7. Let r be p(-6). Suppose -2*k - x = -5*k + 19, 0 = -5*k + x + 29. Factor 4*d**2 - 2*d**3 - 9 - 3*d - 2*d + k + r*d.
-2*(d - 2)*(d - 1)*(d + 1)
Let h(p) be the third derivative of -p**7/1260 + p**6/120 + p**5/45 - p**4/24 - 7*p**3/36 - 16*p**2. Find f such that h(f) = 0.
-1, 1, 7
Let o(p) = 4*p**2 - 4*p + 3. Let y(v) = 44*v**2 - 44*v + 32. Let a(j) = -32*o(j) + 3*y(j). Factor a(k).
4*k*(k - 1)
Let w(g) be the first derivative of -3*g**4/14 + 16*g**3/21 - 4*g**2/7 + 10. Factor w(z).
-2*z*(z - 2)*(3*z - 2)/7
Let c(a) be the first derivative of -2*a**5/25 - a**4/5 + 2*a**2/5 + 2*a/5 + 5. Factor c(q).
-2*(q - 1)*(q + 1)**3/5
Suppose 1 = 3*m - 2. Let o = 2 + m. Let 2*h**2 + 1 + o*h + 2*h**2 + 2 - 4 = 0. Calculate h.
-1, 1/4
Let z(c) be the first derivative of -1/27*c**6 - 2 + 0*c**5 + 1/9*c**4 + 0*c**3 - 1/9*c**2 + 0*c. Factor z(n).
-2*n*(n - 1)**2*(n + 1)**2/9
Determine z so that 0 - 8/21*z**3 + 2/3*z**2 - 2/7*z = 0.
0, 3/4, 1
Let a(n) be the first derivative of -n**5 + 5*n**4/4 + 5*n**3/3 - 5*n**2/2 - 4. Suppose a(q) = 0. What is q?
-1, 0, 1
Let v be (-3)/2*(-30)/225. Suppose -v - m - 6/5*m**2 = 0. Calculate m.
-1/2, -1/3
Let q(y) be the first derivative of y**6/21 + 8*y**5/35 + y**4/14 - 20*y**3/21 - 4*y**2/7 + 16*y/7 + 41. Factor q(t).
2*(t - 1)**2*(t + 2)**3/7
Let p = -171 - -171. Factor 1/5*k**3 - 2/5*k**2 + 1/5*k + p.
k*(k - 1)**2/5
Let a be ((-1)/(-3))/((-6)/(-54)). Let v be -1*(-2 - (-5 + a)). Find u, given that -4/5*u**4 + 0 + 0*u**2 + 2/5*u**3 + 2/5*u**5 + v*u = 0.
0, 1
Let s(b) be the first derivative of 3*b**4/4 + b**3 - 3*b**2 - 2. Factor s(d).
3*d*(d - 1)*(d + 2)
Suppose 0 = -5*k - 3*w + 16, k = 2*k + 5*w - 12. Suppose k*r - 4 = 2. Find o, given that -3 - r*o**2 + o**2 + 5 = 0.
-1, 1
Let n(p) = p**2 - 3*p + 2. Suppose -5*y = -3*h - 4, y + h = -h + 6. Let c be n(y). Factor 2*o - 8*o + 4 - 3*o**4 + c + 6*o**3 - 1.
-3*(o - 1)**3*(o + 1)
Solve 2/5*l**4 - 8/5*l**3 + 2*l**2 + 0 - 4/5*l = 0.
0, 1, 2
Let z(i) be the first derivative of -i**6/150 + 3*i**5/100 - i**4/20 + i**3/30 - 3*i + 1. Let r(a) be the first derivative of z(a). Factor r(h).
-h*(h - 1)**3/5
Suppose 4*l + 3 = -2*i - 1, 5*i - 20 = 5*l. Let r(v) be the first derivative of -1/3*v + 3 - 1/9*v**3 + 1/3*v**i. Let r(t) = 0. Calculate t.
1
Let q be (-58)/38 + 6/(-18). Let v = -10/19 - q. Factor 1/3*c**4 - 2/3*c**3 + v*c + 4/3 - 