 0.
-1, 1
Let y(m) be the third derivative of -2*m**7/35 - m**6/30 + 7*m**2. What is p in y(p) = 0?
-1/3, 0
Let d be (-20)/15 + (-1)/(-3). Let k be (-2)/14 - d/1. Solve k*x**2 - 6/7*x**4 + 2/7*x**5 + 2/7*x**3 - 4/7*x + 0 = 0 for x.
-1, 0, 1, 2
Let j = -4511 - -90167/20. Let p = -9/4 - j. Solve 2/5*a**3 - 2/5*a**2 - p*a + 0 + 2/5*a**4 = 0 for a.
-1, 0, 1
Let r(h) be the second derivative of 0*h**2 - 4*h - 1/15*h**5 + 1/9*h**3 + 1/63*h**7 + 0 + 0*h**6 + 0*h**4. Factor r(x).
2*x*(x - 1)**2*(x + 1)**2/3
Find x such that x**2 - 20*x**3 - 16*x**5 - 16*x**4 + 48*x**4 + 3*x**2 = 0.
0, 1/2, 1
Factor -2*f**3 - 4*f**5 + 2*f + 6*f**5 - 2*f**3.
2*f*(f - 1)**2*(f + 1)**2
Suppose -2*r = -2*f, -r - 5*f + 21 = r. Suppose -4*t = -g + r*g - 2, t + 3 = 3*g. Factor -4 + 5 + t - 3 + 3*w - w**2.
-(w - 2)*(w - 1)
Let g = 47 + -25. Suppose -2*i**2 + 7*i**3 + 11*i**3 - 2*i**4 - g*i**3 = 0. Calculate i.
-1, 0
Let b(l) = 16*l - 3*l**3 + 2 - l**2 - 8*l**2 - 10. Let a(m) = -5*m**3 - 19*m**2 + 32*m - 17. Let q(h) = 4*a(h) - 9*b(h). Factor q(j).
(j - 1)*(j + 2)*(7*j - 2)
Let j(z) be the first derivative of 0*z + 1 + 0*z**4 + 4/5*z**5 + 1/3*z**6 - z**2 - 4/3*z**3. Solve j(a) = 0.
-1, 0, 1
Suppose 360 = -7*o + 4*o. Let h = o - -1082/9. Factor 0*a + 0 - h*a**2 + 2/9*a**3.
2*a**2*(a - 1)/9
Factor -3*j**4 + 8*j + 20*j**2 - 2*j**5 - 2*j**3 + 0*j**3 - 16 - 5*j**4.
-2*(j - 1)**2*(j + 2)**3
Determine f so that -14*f**3 + 4*f**2 + 28*f**3 - 10*f**3 - 3 - 4*f - 1 = 0.
-1, 1
Let w(j) be the second derivative of 1/9*j**3 + 0 - 1/18*j**4 + 2/3*j**2 + 6*j. Factor w(o).
-2*(o - 2)*(o + 1)/3
Factor -8*f**3 + 32*f**2 - 9*f**4 - 8*f - 8*f**5 - 4 - 19*f**4 + 24*f**5.
4*(f - 1)**3*(f + 1)*(4*f + 1)
Find j such that 0*j + 2/9*j**2 - 8/9 = 0.
-2, 2
Let y(p) = 3*p**2 + 16*p - 1. Let z(n) = n**2 + 5*n. Let q(j) = -6*y(j) + 21*z(j). Factor q(t).
3*(t + 1)*(t + 2)
Let a(v) = 0*v**3 + v**3 - 4*v**2 + 4*v - 3 + 2. Let r be a(3). What is y in 5*y**r - 2*y**3 - y**4 + 2*y**5 - y**4 - 3*y**2 = 0?
-1, 0, 1
Determine d, given that -3 - 12*d + 2*d**3 - 6*d**3 - 2*d**3 - 15*d**2 = 0.
-1, -1/2
Let w = -3085/33 + 281/3. Determine j so that w*j - 2/11*j**3 + 0 + 0*j**2 = 0.
-1, 0, 1
Let v(x) = 11*x**3 - 2*x**2 + 2*x - 11. Let l(b) = 5*b**3 - b**2 + b - 5. Let y(n) = 13*l(n) - 6*v(n). Factor y(q).
-(q - 1)*(q + 1)**2
Let r(y) be the third derivative of 0 - 1/120*y**6 + 0*y + 0*y**3 - 1/24*y**4 - 1/30*y**5 + y**2. Factor r(i).
-i*(i + 1)**2
Solve 0 + 0*k + 6/5*k**3 - 4/5*k**2 - 2/5*k**5 + 0*k**4 = 0 for k.
-2, 0, 1
Let m(z) be the third derivative of z**8/672 + z**7/140 + z**6/120 - z**5/60 - z**4/16 - z**3/12 + 4*z**2. Determine h, given that m(h) = 0.
-1, 1
Suppose -2/5*v**4 + 14/5*v**2 + 4/5*v**3 + 8/5*v + 0 = 0. Calculate v.
-1, 0, 4
Suppose 5*y - 4 - 16 = 0. Let s(k) be the first derivative of 1 - 1/3*k**3 + 1/5*k**5 - 1/2*k**2 + 1/4*k**y + 0*k. Factor s(i).
i*(i - 1)*(i + 1)**2
Let s(z) be the second derivative of -3*z - 1/54*z**4 + 1/45*z**5 - 1/135*z**6 + 0*z**3 + 0 + 0*z**2. Determine t so that s(t) = 0.
0, 1
Factor 3/5*i**2 - 2/5 - 1/5*i.
(i - 1)*(3*i + 2)/5
Solve -1226/15*p**2 - 24/5 - 644/15*p**3 - 98/15*p**4 - 184/5*p = 0 for p.
-3, -2/7
Factor -4*r**4 - 15*r**3 + r**4 + 7*r**4 - 5*r + r**4 + 15*r**2.
5*r*(r - 1)**3
Let q(m) be the third derivative of -m**8/336 - m**7/315 + m**6/36 + m**5/15 + m**4/72 - m**3/9 - 8*m**2 + m. Solve q(g) = 0 for g.
-1, 1/3, 2
Suppose 2*b = 6*b. What is t in 0*t**2 + 2*t**2 - 3*t**4 + t**4 + b*t**5 + 2*t**5 - 2*t**3 = 0?
-1, 0, 1
Let d(v) be the third derivative of -1/60*v**5 - 1/540*v**6 - 1/18*v**4 + 0*v + 2/3*v**3 - v**2 + 0. Let c(f) be the first derivative of d(f). Solve c(h) = 0.
-2, -1
Factor -25*b**2 + 12*b**5 + 2*b + 2*b + b**2 + 16*b**4 + 9 - 16*b**3 - 1.
4*(b - 1)*(b + 1)**3*(3*b - 2)
Let m(z) be the third derivative of z**7/280 + z**6/48 + z**5/20 + z**4/16 + z**3/24 + 7*z**2. Suppose m(i) = 0. Calculate i.
-1, -1/3
Let h(q) = -2*q**3 - q**2 + q. Let l(c) = 8*c**3 + 3*c**2 - 5*c. Let j(r) = 18*h(r) + 4*l(r). Determine u, given that j(u) = 0.
-1, -1/2, 0
Let q(z) be the second derivative of 3*z + 1/54*z**4 + 1/90*z**5 - 1/27*z**3 - 1/135*z**6 + 0 + 0*z**2. Factor q(n).
-2*n*(n - 1)**2*(n + 1)/9
Let u be (-3)/(-6) + 1*2. Let d be ((-3)/4)/((-1)/((-6)/(-3))). Determine y so that 5/2*y**4 - 1/2*y + 0 - d*y**3 - u*y**2 + 2*y**5 = 0.
-1, -1/4, 0, 1
Suppose 17*a**2 - a + a**3 - 10*a**2 - 7*a**2 = 0. Calculate a.
-1, 0, 1
Let m(g) be the third derivative of -9*g**6/80 - 3*g**5/40 + 5*g**4/16 - g**3/4 - 2*g**2. Find x, given that m(x) = 0.
-1, 1/3
Let g = -60 + 63. Factor 1/4*q**g + 3/4*q + 3/4*q**2 + 1/4.
(q + 1)**3/4
Factor -16/3*k - 1/3*k**2 - 64/3.
-(k + 8)**2/3
Let h(v) = 15*v**3 - 6*v**2 + 3*v - 12. Let z(k) = k**3 - 1. Let l(j) = -h(j) + 18*z(j). Let l(n) = 0. What is n?
-2, -1, 1
Find k such that 2*k**2 + k**2 - 8*k + 3*k - 4*k**2 = 0.
-5, 0
Suppose -20*d - 13*d + 24*d**2 + 27 - 2*d**4 + 6*d**3 - d**4 - 21*d = 0. What is d?
-3, 1, 3
Let v be -45*(2 + 10/(-3)). Let h be (-4)/12*v/(-35). Suppose h*l + 2/7*l**2 + 2/7 = 0. What is l?
-1
Factor 4*f - 6*f**3 - 2007*f**4 + 2011*f**4 + 8 - 12*f**2 + 2*f**3.
4*(f - 2)*(f - 1)*(f + 1)**2
Let t be (-6)/21 + 2564/840. Let d = t + -21/10. Suppose -2/3*m**3 + 2/3*m + 2/3 - d*m**2 = 0. Calculate m.
-1, 1
Let n = 9/188 - -67/564. Let 0*f + 2/3*f**4 - 5/6*f**3 - n*f**5 + 1/3*f**2 + 0 = 0. What is f?
0, 1, 2
Let i = 14 + -11. Suppose 4 = i*v - v. Factor 2/7*s**v + 2/7*s + 0.
2*s*(s + 1)/7
Let b(t) = 5*t**3 - 4*t**2 - 3*t + 2. Let w(g) = 4*g**2 + 11*g - 8 - 20*g**3 + 2*g**2 + 11*g**2. Let p(s) = -18*b(s) - 4*w(s). Factor p(o).
-2*(o - 1)*(o + 1)*(5*o - 2)
Let y = -1/56 + 65/56. Let s = -160 - -162. Factor 0*h**s - 2/7*h**3 + y*h**4 + 0 + 0*h.
2*h**3*(4*h - 1)/7
Let p be 52/312*(-8)/(-6). Find b such that p*b**2 + 2/9*b + 0 = 0.
-1, 0
Let r be 15/(-220) - 3/24*-2. Factor 0 + 0*x**2 + r*x**3 - 2/11*x**5 + 0*x + 0*x**4.
-2*x**3*(x - 1)*(x + 1)/11
Let d(r) be the second derivative of r**7/336 - r**6/48 + 9*r**5/160 - 7*r**4/96 + r**3/24 + 10*r. Factor d(w).
w*(w - 2)*(w - 1)**3/8
Find m such that -m**2 - 16 + 5*m**2 + 38*m - 50*m = 0.
-1, 4
Let d(n) be the first derivative of n**7/2520 - n**6/540 + n**5/360 - n**3 + 1. Let p(t) be the third derivative of d(t). Factor p(s).
s*(s - 1)**2/3
Let k(u) be the first derivative of -u**6/27 - 2*u**5/45 + u**4/9 + 18. What is s in k(s) = 0?
-2, 0, 1
Let v(k) be the third derivative of k**5/20 + k**4/8 + 17*k**2. Factor v(y).
3*y*(y + 1)
Let k(f) be the third derivative of -f**5/15 + f**4/6 - 33*f**2. Factor k(j).
-4*j*(j - 1)
Let t be (0/1)/(10/(-5)). Let d = t + 3. Factor -1 - 2*u**2 + 3*u**2 + d*u + u**3 - 4*u.
(u - 1)*(u + 1)**2
Let j be 6*(1 + 3/9). Factor -4*u**5 - 3*u**5 - 4*u + 3*u**5 - j*u**2 + 17*u**3 + 4 + 4*u**4 - 9*u**3.
-4*(u - 1)**3*(u + 1)**2
Let r(f) be the first derivative of -4*f**6/3 + 16*f**5/5 - f**4/2 - 10*f**3/3 + f**2 + 2*f - 4. Factor r(y).
-2*(y - 1)**3*(2*y + 1)**2
Let p(a) = -a**2 + 5*a + 3. Let x(v) = v**2 - v - 1. Let y(d) = p(d) + 3*x(d). Factor y(n).
2*n*(n + 1)
Let t(b) be the second derivative of -b**6/10 + 21*b**5/20 - 40*b. Factor t(v).
-3*v**3*(v - 7)
Factor 3/8 + 3/4*v + 3/8*v**2.
3*(v + 1)**2/8
Suppose -34*y**2 - 32*y**2 + 6*y - 3 + 63*y**2 = 0. What is y?
1
Let u = -17 + 12. Let f(z) = 4*z**3 - z**2 + 5*z. Let b(k) = -4*k - 21 - 3*k**2 + 4*k**2 + 21 - 3*k**3. Let p(r) = u*b(r) - 4*f(r). Factor p(a).
-a**2*(a + 1)
Factor -1/5*t**4 - 1/5*t**3 + 1/5*t + 0 + 1/5*t**2.
-t*(t - 1)*(t + 1)**2/5
Let x(l) = -15*l**3 + 55*l**2 - 40*l - 20. Let j(w) = 135*w**3 - 495*w**2 + 360*w + 180. Let m(c) = -6*j(c) - 55*x(c). Solve m(b) = 0.
-1/3, 2
Let w(c) be the second derivative of -1/14*c**7 + 0*c**3 + 0*c**2 - c + 1/20*c**6 + 0 + 0*c**5 + 0*c**4. Factor w(n).
-3*n**4*(2*n - 1)/2
Let l(v) be the first derivative of v**7/84 + v**6/30 + v**5/40 - v - 3. Let m(k) be the first derivative of l(k). Factor m(p).
p**3*(p + 1)**2/2
Let v(f) be the third derivative of -5*f**8/112 + 6*f**7/35 - 9*f**6/40 + f**5/10 - 2*f**2. Find x such that v(x) = 0.
0, 2/5, 1
Suppose 0 = 3*a - 23 + 20. Let v(r) be the first derivative of 0*r + 4/21*r**3 + 0*r**2 - a + 2/35*r**5 - 3/14*r**4. Find s such that v(s) = 0.
0, 1, 2
Let r = 2563 + -17911/7. Factor -24/7*a + 8/7 - 8/7*a**3 - r*a**2.
-2