 such that 7*d**3 - 47*d**4 - 2*d**2 - d**3 - 4*d - 2*d**5 + 49*d**4 = 0.
-1, 0, 1, 2
Let z = -7 - -11. Let 8*n**5 - 9*n**5 - n**5 - z*n**2 - 2*n**3 - 26*n**5 + 34*n**4 = 0. Calculate n.
-2/7, 0, 1/2, 1
Let d(b) = -3*b**2 - 17*b + 11. Let f(y) = -y**2 - y - 1. Let g(i) = -2*d(i) + 10*f(i). Determine p, given that g(p) = 0.
2, 4
Let r(m) be the first derivative of -m**3/21 + m**2/14 - 7. What is w in r(w) = 0?
0, 1
Find f, given that -4*f**2 - 4*f**3 + 4*f**5 + 5*f**4 + 4*f**4 + 0*f**5 - 5*f**4 = 0.
-1, 0, 1
Let l = 65 - 62. Suppose 4*a = 3*u + 20, 2 = -3*a - 2*u - 0. Factor 0 - 2/3*g**l + 0*g**a + 0*g - 2/3*g**4.
-2*g**3*(g + 1)/3
Let r(n) = 3*n**3 + 8*n**2 - 8*n - 8. Let d(g) = 2*g**3 + 5*g**2 - 5*g - 5. Let l(q) = 8*d(q) - 5*r(q). Suppose l(f) = 0. Calculate f.
0
Let n be ((-12)/10)/(27/(-10)). Determine d, given that 0*d + 0 + 0*d**2 - 2/9*d**4 + n*d**3 = 0.
0, 2
Let k(j) = j**2 - 9*j + 4. Let x = -3 - -12. Let q be k(x). Suppose -1/2*f**q + 1/2*f**2 + 0*f**3 + 0 + 0*f = 0. Calculate f.
-1, 0, 1
Suppose 3*y - 11 = 4. Find z such that y*z**4 - 2*z**5 - 11*z**4 - 6*z**3 - 2*z**2 + 0*z**2 = 0.
-1, 0
Let q = -27 + 29. Let g(d) be the second derivative of 3/2*d**3 + 0 + 7/12*d**4 + d**q - d. Factor g(p).
(p + 1)*(7*p + 2)
Let u(r) be the third derivative of r**9/4032 + r**8/1120 - r**6/240 - r**5/160 - r**3/3 - 3*r**2. Let x(k) be the first derivative of u(k). Factor x(s).
3*s*(s - 1)*(s + 1)**3/4
Let b(l) = -4*l**4 - l**3 + 9*l**2 + l + 5. Let i(t) = 2*t**2 + 2. Let w(y) = y**4 + 1. Let r(o) = -2*i(o) + 2*w(o). Let n(v) = -2*b(v) - 5*r(v). Factor n(g).
-2*g*(g - 1)**2*(g + 1)
Let f be (-32)/(-10) - 4/20. Let s be (-2)/(-6)*f*3. Determine z so that z**s + 4*z**4 - z**5 - 5*z**4 + z**4 = 0.
-1, 0, 1
Suppose -s + 4 = c, -5*c + 4*s + 0 = -20. Suppose c*k - 17 = -3*l, k = -0*k + 2. Factor -t**3 - t**l - t**4 + 0*t**2 - t**2.
-t**2*(t + 1)**2
Let u be (-21)/(-12) - (-1)/4. Suppose u*o = 3*o - 4*r + 13, -13 = -3*o - r. Find h, given that h**4 - h**2 - o*h + h + h**3 + h = 0.
-1, 0, 1
Suppose 0*i - 8/5*i**3 + 0 + 0*i**2 - 2/5*i**5 - 2*i**4 = 0. Calculate i.
-4, -1, 0
Let c(d) be the second derivative of d**4/54 - 4*d**3/27 + 19*d. What is z in c(z) = 0?
0, 4
Let d(c) be the third derivative of -c**7/525 - 2*c**6/225 - c**5/450 + 2*c**4/45 + 4*c**3/45 - c**2. Suppose d(i) = 0. What is i?
-2, -1, -2/3, 1
Let w = 8 - 6. Let z be 2 + 2 + (w - 3). Factor -8*i + 3*i - 2*i**2 + z*i.
-2*i*(i + 1)
Suppose a + 4*a + 2*k = 0, 4*a = -k. Factor 2*x + a*x**3 - 4*x + 2*x**3.
2*x*(x - 1)*(x + 1)
Let r(n) be the second derivative of n**4/102 + 16*n**3/51 + 64*n**2/17 + 12*n. Solve r(a) = 0.
-8
Let 0*d**4 + 0 - 1/4*d**5 + 0*d + 0*d**2 + 0*d**3 = 0. What is d?
0
Let x(b) be the third derivative of b**8/10080 - b**7/3780 - b**6/1080 + b**5/180 + 7*b**4/24 - 10*b**2. Let i(y) be the second derivative of x(y). Factor i(f).
2*(f - 1)**2*(f + 1)/3
Let y(q) be the first derivative of q**3 - 3*q**2/2 - 6*q - 7. Find d, given that y(d) = 0.
-1, 2
Let d(m) be the first derivative of 0*m**2 + 0*m**3 - 1/18*m**4 + 2*m - 1. Let x(p) be the first derivative of d(p). Factor x(s).
-2*s**2/3
Let -15*u**3 + 3*u**3 - 4*u**3 - 6 - 4*u + 26*u**2 = 0. Calculate u.
-3/8, 1
Suppose -3 - 6*b**3 - 4 + 6*b + 4 + 3*b**2 = 0. What is b?
-1, 1/2, 1
Suppose -5*q + 2*p = 1, -5*p = -4*q - 2 - 9. Let t be 0 + q/((-2)/(-6)). Let 4*n**t - n - n**2 - 3 - 3*n**3 + 4 = 0. What is n?
-1, 1
Let i(j) be the third derivative of -3*j**3 + 0 - 1/30*j**5 + 8*j**2 + 0*j + 1/2*j**4. Let i(n) = 0. Calculate n.
3
Let t(q) be the third derivative of q**8/1008 - q**7/630 - 10*q**2. Factor t(c).
c**4*(c - 1)/3
Let c = -5 - -11. Let i be 2/6 - (-1)/c. Factor 1/2*q**2 + 5/4*q**3 - 5/4*q - i.
(q - 1)*(q + 1)*(5*q + 2)/4
Let w(r) be the second derivative of 0 - 1/12*r**4 - 1/2*r**2 + 1/3*r**3 - 3*r. Factor w(l).
-(l - 1)**2
Let l = -4 - 0. Let q(u) = -u**4 - 5*u**3 - 4*u. Let p(o) = -2*o**4 - 11*o**3 - 9*o. Let d be (-2)/(0 + (-4)/18). Let w(n) = d*q(n) + l*p(n). Factor w(h).
-h**3*(h + 1)
Factor 16/3*p - 20/3*p**3 - 32/3 + 8*p**2 + 4/3*p**4.
4*(p - 2)**3*(p + 1)/3
Let c(r) be the third derivative of -r**6/100 - r**5/75 - 21*r**2. Suppose c(h) = 0. Calculate h.
-2/3, 0
Let p(q) = q**3 - 2*q**2 - 2*q - 1. Let x be p(3). Let f be ((-3)/x)/(18/(-24)). What is g in -3*g**2 + g**5 - 5*g**4 - 5*g - 7*g**f - 1 - 2*g**5 - 10*g**3 = 0?
-1
Let f(g) = g**3 + 11*g**2 + 10*g + 2. Let u be f(-10). Factor -2*n - n**4 - n**4 + 4*n**3 + u*n.
-2*n**3*(n - 2)
Suppose 36 = 10*i + 16. Let f be (3 - 1)/((-2)/(-3)). Determine w so that -1 + i*w**3 + w**4 + w**3 - 2*w - w**f = 0.
-1, 1
Suppose -7*x - 1 = -22. Solve 0*s + 0 - 1/3*s**x + 0*s**2 = 0 for s.
0
Let h(w) be the second derivative of -w**7/630 - w**6/120 - w**5/60 - w**4/72 + 3*w**2/2 + w. Let a(k) be the first derivative of h(k). Factor a(z).
-z*(z + 1)**3/3
Let l(n) be the third derivative of -n**8/84 + 2*n**7/105 + 13*n**2. Factor l(p).
-4*p**4*(p - 1)
Let x be (-18)/(-12)*(-2)/(-3). Factor -4*c**3 - c**2 - 3*c**2 - c**4 - 2*c**2 - x - 4*c.
-(c + 1)**4
Suppose -2*c = 2*t - 20, c + 4*t = 15 + 7. Let x be (-4)/(-6) + 20/c. Factor g + 2*g**x + 0*g**2 - g**2 - g**2 - g**5 + 0*g**5.
-g*(g - 1)**3*(g + 1)
Let i(a) = -a**2 + 18. Let v be i(-4). Factor 0*b**v - 1/2*b**3 + 3/2*b - 1.
-(b - 1)**2*(b + 2)/2
Let y(c) be the second derivative of 1/30*c**5 - 1/3*c**2 + 0 - 3*c - 1/9*c**3 + 1/18*c**4. Determine t, given that y(t) = 0.
-1, 1
Let s be 80/6 - (-4)/6. Let g = s + -9. Suppose -4*y**3 + 7*y**5 + 2*y - 2 + 0 + 3*y**2 - 2*y**4 + y**2 - 5*y**g = 0. Calculate y.
-1, 1
Let u(b) = -b**3 + 1. Let r(q) = 5*q**4 + 23*q**3 + 45*q**2 + 35*q + 12. Let g(t) = r(t) - 2*u(t). Let g(i) = 0. What is i?
-2, -1
Suppose -2*a - 4*o = -0*o, 5*a + 3*o - 14 = 0. Suppose b = -3*p - 12, b + 2*b + 3*p = -12. Determine v, given that 3*v**a - 2*v**3 + b*v**3 - v**4 = 0.
0, 1
Let -4*c**5 - 8*c**4 + 9*c**3 - 9*c**2 + 25*c**2 - c**3 + 0*c - 4*c - 8 = 0. Calculate c.
-2, -1, 1
Let w = 899/55 + -79/5. Find h such that -4/11*h**3 + w*h + 2/11 + 4/11*h**2 - 6/11*h**4 - 2/11*h**5 = 0.
-1, 1
Let n be (1 + (-2)/(-10))*(-5)/(-2). Determine f, given that 6*f**5 + 0*f + 0*f**2 - 4/3*f**n + 0 + 14/3*f**4 = 0.
-1, 0, 2/9
Let v(c) be the second derivative of -1/4*c**3 + 0 - 1/12*c**4 + c + 1/2*c**2 + 3/40*c**5. Determine k so that v(k) = 0.
-1, 2/3, 1
Suppose 4 = 4*o - 4. Factor 3 + 4*v**3 - 2 + 4*v + 0*v + 6*v**2 - v**4 + o*v**4.
(v + 1)**4
Let h(l) be the first derivative of l**5/330 + l**4/132 + l**2 + 10. Let r(s) be the second derivative of h(s). Solve r(y) = 0 for y.
-1, 0
Let p(h) = -3*h**3 + 11*h**2 - 8*h. Let y(g) = -15*g**3 + 54*g**2 - 39*g. Let q(l) = -24*p(l) + 5*y(l). Factor q(v).
-3*v*(v - 1)**2
Let h(w) be the first derivative of -4*w - 1/3*w**3 - 3 + 2*w**2. Determine d, given that h(d) = 0.
2
Let j(p) be the third derivative of -p**8/560 + 3*p**7/350 - p**6/100 - p**5/50 + 3*p**4/40 - p**3/10 + 7*p**2. Find v, given that j(v) = 0.
-1, 1
Let u(r) = -76*r**2 - 44*r. Let z(l) = -7*l**2 - 4*l. Let o(y) = -3*u(y) + 32*z(y). Factor o(h).
4*h*(h + 1)
Let y(h) be the third derivative of h**6/120 - h**5/20 - h**4/6 + 19*h**2. Factor y(b).
b*(b - 4)*(b + 1)
Let b(j) = -3*j**2 + 2*j. Let a(l) = 4*l**2 - 15*l**2 - 10*l**2 + 77*l - 62*l. Let q(y) = 4*a(y) - 27*b(y). Factor q(i).
-3*i*(i - 2)
What is p in 0 + 28/3*p + 88/3*p**2 - 7/3*p**4 - 37/3*p**3 = 0?
-7, -2/7, 0, 2
Suppose c + 8 = 5*c. Let s = c - -1. Suppose 2*d**4 - 2 + 4*d - 7*d**3 + 0 + 3*d**s = 0. What is d?
-1, 1
Solve -1/2 - 9/4*u**2 + 7/4*u - 1/4*u**4 + 5/4*u**3 = 0.
1, 2
Let l(q) = 12 + 9*q**2 - 2*q**2 - 1 - 20*q + 2*q**2. Let h(i) = 3*i**2 - 7*i + 4. Let o(s) = -7*h(s) + 2*l(s). Factor o(m).
-3*(m - 2)*(m - 1)
Let -2/3*y**4 + 0 - 4/3*y**2 + 2*y**3 + 0*y = 0. What is y?
0, 1, 2
Find g such that -g**4 - 16*g**5 - 18*g**5 - 13*g**3 - 14*g**5 - 12*g + 25*g**2 + 49*g**5 = 0.
-4, 0, 1, 3
Let y(v) = v**3 + 6*v**2 + v + 7. Let l be y(-6). Let x = l + 3. Solve -3*p**4 + 7*p**3 + 4*p**2 + 19*p**x + 8*p**3 - p**3 + 6*p**5 = 0 for p.
-1, -2/3, 0
Let x(h) = 5*h**2 + 4*h - 5. Let q(u) = -20*u**2 - 15*u + 20. Let m(v) = -4*q(v) - 15*x(v). Factor m(j).
5*(j - 1)*(j + 1)
Find f, given that 0 - 2/3*f**2 + 0*f = 0.
0
Let k = 6 + -4. Suppose -4*j - 2 = 5*v + 2, -5*v - 3*j - 3 = 0. Fa