or g(y).
y**3*(y - 2)
Let c(o) be the first derivative of -o**3/3 + 6*o**2 - 13*o - 1. Let d be c(10). Solve d*l + 1 - l**2 - 7*l = 0.
-1, 1
Suppose -1899*l + 3290*l**2 - 5*l**5 - 100*l - 950*l**3 + 115*l**4 - 2166*l + 1715 = 0. Calculate l.
1, 7
Let w(z) = -11*z**2 + 67*z - 216. Let f(m) = -6*m**2 + 33*m - 108. Let d(s) = -5*f(s) + 3*w(s). Determine p, given that d(p) = 0.
6
Let c(h) be the first derivative of h**6/3 + 4*h**5/5 - h**4 - 16*h**3/3 - 7*h**2 - 4*h + 9. Factor c(s).
2*(s - 2)*(s + 1)**4
Suppose -s + 0*x = x - 7, 2*x - 8 = s. Let o(u) be the first derivative of 0*u - 2/5*u**5 + u**s + 1 + 2/3*u**3 - 1/2*u**4. Factor o(f).
-2*f*(f - 1)*(f + 1)**2
Factor -2/23*v**3 - 4/23*v - 6/23*v**2 + 0.
-2*v*(v + 1)*(v + 2)/23
Let q(a) be the third derivative of -a**10/90720 + a**9/22680 - a**7/3780 + a**6/2160 + a**4/6 + 3*a**2. Let i(f) be the second derivative of q(f). Factor i(h).
-h*(h - 1)**3*(h + 1)/3
Let g(t) be the second derivative of -1/6*t**3 + 0*t**2 - 4*t - 1/12*t**4 + 0. Factor g(i).
-i*(i + 1)
Let h(u) = -u**2 + 2. Let m be h(2). Let x be 8/4 - (-4)/m. Factor 0*f**3 - 4/5*f**4 + 2/5*f + x - 2/5*f**5 + 4/5*f**2.
-2*f*(f - 1)*(f + 1)**3/5
Let d(a) = -2*a - 4. Let z be d(-3). Factor z - y - y**2 + 0*y + 2*y + 0.
-(y - 2)*(y + 1)
Suppose 7*s - 12 = 5*s. Factor 13*a - 22*a + s*a + 9*a + 3*a**2.
3*a*(a + 2)
Let r(q) = -q**3 - q**2 + q. Let o(j) = -j**5 - 6*j**4 - 11*j**3 - j**2 + 12*j + 4. Let s(a) = 5*o(a) - 15*r(a). Determine y so that s(y) = 0.
-4, -1, 1
Suppose 0 = 4*x - 12, -5 = 3*q - 4*x + 1. Factor -3*u**2 - 2*u + u + 4*u**q.
u*(u - 1)
Factor 33/5*y + 46/5*y**2 + 9/5*y**4 + 9/5 + 6*y**3 + 1/5*y**5.
(y + 1)**3*(y + 3)**2/5
Let r(t) be the second derivative of -7*t**5/60 - 11*t**4/12 + 26*t**3/9 - 2*t**2 + 35*t - 1. Factor r(m).
-(m - 1)*(m + 6)*(7*m - 2)/3
Suppose 5*v = 3*w - 14 - 0, -v + 2 = w. Let f = 1 + v. Suppose -1/3*l**2 + f*l + 0 = 0. What is l?
0
Suppose -14 = -4*w - 3*q, 0 = -3*w - 3*q + 2 + 10. Suppose -w*p + 6*p = 0. Suppose 1/2*i - 1/4*i**2 + p = 0. What is i?
0, 2
Factor 24/5*h - 3*h**2 + 3/5*h**3 - 12/5.
3*(h - 2)**2*(h - 1)/5
Let y(c) be the second derivative of c**4/6 + 4*c**3/3 + 13*c. Factor y(g).
2*g*(g + 4)
Suppose a = -2*a + 2*a. Let r(x) be the third derivative of 1/42*x**4 + a + 1/210*x**5 + 0*x**3 + 0*x - x**2. Solve r(c) = 0 for c.
-2, 0
Let a(o) = 24*o**2 - 22*o - 24. Let b(h) = h**2 - h - 1. Let m(x) = 2*a(x) - 44*b(x). Factor m(j).
4*(j - 1)*(j + 1)
Suppose 10*g - 6 = 7*g. Factor 1 - 8*u**2 - g*u**3 - 4*u + 2*u**2 - 1.
-2*u*(u + 1)*(u + 2)
Find m such that 0 + 1/2*m**4 + 0*m - 1/2*m**5 + 0*m**3 + 0*m**2 = 0.
0, 1
Let h = -22 - -25. Let n(p) be the first derivative of 0*p**2 - 1/5*p**5 - h + 0*p - 1/4*p**4 + 0*p**3. Factor n(q).
-q**3*(q + 1)
Let f be 4/(-1680)*2/(-2). Let c(l) be the third derivative of 0*l - 2*l**2 + 0 + 0*l**4 + f*l**7 - 1/120*l**5 + 0*l**3 + 0*l**6. Factor c(u).
u**2*(u - 1)*(u + 1)/2
Factor -2*w**2 + 15*w - 12*w + 0*w**2 - 200 - 43*w.
-2*(w + 10)**2
Suppose r + 12 = 3*r. Let j = r - 4. Find c, given that 0*c**3 + 0*c**3 - j*c**5 + 4*c**2 + 2*c**3 - 4*c**4 = 0.
-2, -1, 0, 1
Let q = 68 + -68. Factor 4/5*y**2 + q + 0*y**3 + 0*y + 1/5*y**5 - 3/5*y**4.
y**2*(y - 2)**2*(y + 1)/5
Let s(m) = -4*m**3 + 16*m**2 - 32*m + 18. Let d = -7 - -12. Let w(i) = -9*i**3 + 33*i**2 - 65*i + 36. Let k(n) = d*s(n) - 2*w(n). Factor k(t).
-2*(t - 3)**2*(t - 1)
Let q = 16 - 15. Let o(s) be the first derivative of -q + 0*s - s**5 + 1/2*s**4 + 5/3*s**3 - s**2. Factor o(z).
-z*(z - 1)*(z + 1)*(5*z - 2)
Suppose g = -3*a + 8, 3*a - 1 = -5*g + 3. Factor 0 + 1/3*r**4 + 1/3*r**2 + 2/3*r**a + 0*r.
r**2*(r + 1)**2/3
Let w(m) be the third derivative of -m**6/120 + m**4/24 - 10*m**2. Determine t, given that w(t) = 0.
-1, 0, 1
Let t be 12/((-3)/(-2) - 0). Suppose 4*v - 4 = -3*g, 4*g - t = -5*v + g. Factor 2/11*a**5 + 0 + 0*a**3 + 0*a**2 + 0*a**v + 0*a.
2*a**5/11
Let t be 94/63 + (-4)/(-14). Let v be ((-1)/7)/((-126)/196). Factor 8/9 - v*p**3 + 10/9*p**2 - t*p.
-2*(p - 2)**2*(p - 1)/9
Suppose c = -4*y - 7, -2*y - 2*y + 5*c + 11 = 0. Let j = y - -1. Solve j - 4/5*v + 2/5*v**2 = 0 for v.
0, 2
Factor 0*z**2 + 0 + 2/11*z**3 - 2/11*z**4 + 0*z.
-2*z**3*(z - 1)/11
Let t = -6 - -2. Let a = 4 + t. Solve 2*y**2 - y + a*y - 3*y = 0 for y.
0, 2
Let u(l) be the third derivative of l**8/2520 - 4*l**7/1575 + l**6/150 - 2*l**5/225 + l**4/180 + 16*l**2. Factor u(b).
2*b*(b - 1)**4/15
Let s(j) be the third derivative of -1/80*j**6 - 1/280*j**7 - 1/80*j**5 + 0*j**4 + 0 - 3*j**2 + 0*j + 0*j**3. Suppose s(h) = 0. What is h?
-1, 0
Factor -309 + w**2 + 304 + 3*w + w.
(w - 1)*(w + 5)
Let w(c) be the second derivative of -c**5/50 + c**4/60 + c**3/15 - c**2/10 - 7*c. Factor w(m).
-(m - 1)*(m + 1)*(2*m - 1)/5
Let a(g) be the second derivative of -3*g**2 - 3*g - 1/8*g**4 + 0 + g**3. Let a(h) = 0. What is h?
2
Let i(d) be the first derivative of -2*d**3/9 + d**2/3 + 6. Factor i(s).
-2*s*(s - 1)/3
Let r(t) be the first derivative of t**5/25 + t**4/20 + 1. Let r(i) = 0. Calculate i.
-1, 0
Factor 35/4*w - 15/4 + 5/4*w**3 - 25/4*w**2.
5*(w - 3)*(w - 1)**2/4
Suppose 2*f + 4*n = 12, -f + 5*n = -5*f + 18. Suppose -3*m = -2*j - 12, -2*j + 20 = 4*m + 4. Solve -2/3*q + j - q**f = 0 for q.
-2/3, 0
Suppose -10*p - 20 = -14*p, -y + p - 5 = 0. Factor 0*m + y + 0*m**2 + 1/3*m**3 - 1/3*m**4.
-m**3*(m - 1)/3
Let j(r) be the third derivative of r**9/30240 - r**8/2520 + r**7/504 - r**6/180 + r**5/30 + 3*r**2. Let y(q) be the third derivative of j(q). Factor y(k).
2*(k - 2)*(k - 1)**2
Solve 25/2*d**2 + 2 + 19/2*d**3 + 7/2*d**4 + 1/2*d**5 + 8*d = 0.
-2, -1
Let x(h) be the second derivative of -5*h**4/12 + 25*h**3/6 - 15*h**2 - 2*h. Factor x(o).
-5*(o - 3)*(o - 2)
Let v = 15 - 13. Solve 1 + 1 - 8*k + v + 4*k**2 + 0 = 0.
1
Factor 0 - 3/4*m**3 + 0*m + 3/4*m**4 + 1/4*m**2 - 1/4*m**5.
-m**2*(m - 1)**3/4
Let r(k) be the third derivative of 1/420*k**6 + 0*k - 1/21*k**3 + 0 + k**2 - 1/70*k**5 + 1/28*k**4. Let r(a) = 0. Calculate a.
1
Let q be (0 - 3) + 2 + -3. Let y = q + 6. Find x such that 0*x - 3*x**y + 2*x**2 - 4*x + x - 2 = 0.
-2, -1
Let l = 15 + -11. Suppose 2*f = -4*i + 22, 0 = -l*i - f - 2 + 21. Factor 0*k + 0*k**3 + 2/5*k**i - 2/5*k**2 + 0.
2*k**2*(k - 1)*(k + 1)/5
Let w(s) be the first derivative of s**2 + 1/150*s**5 + 1/300*s**6 + 0*s + 0*s**3 + 1 + 0*s**4. Let b(v) be the second derivative of w(v). Solve b(l) = 0.
-1, 0
Factor -5*g**4 - 3*g**5 - 4*g + 3*g**5 - 8*g**2 + 13*g**4 + 4*g**5.
4*g*(g - 1)*(g + 1)**3
Let q(m) be the second derivative of 0 - 2/21*m**3 - m - 1/42*m**4 + 3/70*m**5 + 0*m**2. Factor q(c).
2*c*(c - 1)*(3*c + 2)/7
Suppose 6 = -2*i - 4*i. Let z(x) = -3*x - 1. Let w be z(i). Let -4/9*y - 4*y**3 + 40/9*y**5 + 0 - 26/9*y**w + 26/9*y**4 = 0. Calculate y.
-1, -2/5, -1/4, 0, 1
Let o = -179/3 + 60. Factor -4/3*h + 4/3 + o*h**2.
(h - 2)**2/3
Let f(d) be the third derivative of -7*d**5/20 - d**4/4 - 5*d**2. Find c such that f(c) = 0.
-2/7, 0
Let o(p) be the second derivative of -p**4/3 + 4*p**3 - 16*p**2 + p. Factor o(k).
-4*(k - 4)*(k - 2)
Suppose -2/5 + 2/5*g + 2/5*g**2 - 2/5*g**3 = 0. Calculate g.
-1, 1
Let l be 0*(15/6)/(-5). Suppose 4*y - 4 = 0, -5*m + 2*y + l*y = -13. Determine p so that 8*p**2 + 4*p**2 - 10*p**2 - p**m - p = 0.
0, 1
Let z(m) be the first derivative of -1/6*m**2 - 1/9*m**3 - 3 + 1/12*m**4 + 1/15*m**5 + 0*m. Let z(q) = 0. Calculate q.
-1, 0, 1
Let m be 9/(-1) + (-1)/1. Let k = m + 16. Suppose 2*g**2 + 4*g**3 + 0*g**2 - k*g**3 = 0. What is g?
0, 1
Let p(b) be the second derivative of 0*b**6 + b + 0*b**4 + 0*b**3 + 0 + 0*b**2 - 1/60*b**5 + 1/126*b**7. Factor p(q).
q**3*(q - 1)*(q + 1)/3
Let n = -8 + 15. Suppose -n = -l - 4. What is x in 1/4*x**4 + 1/4*x**l + 0*x + 0*x**2 + 0 = 0?
-1, 0
Let i = -12 - -12. Let p(d) be the third derivative of 2/105*d**7 + 1/12*d**4 + i*d**3 - 1/168*d**8 + 0*d**6 - 1/15*d**5 - 2*d**2 + 0*d + 0. Factor p(r).
-2*r*(r - 1)**3*(r + 1)
Find o such that -8*o**3 + 4*o**2 - 4*o**4 + 4*o - 5*o**3 + 9*o**3 = 0.
-1, 0, 1
Let w(d) be the third derivative of 0 + 0*d**3 + 6*d**2 + 7/40*d**6 + 0*d + 1/30*d**4 + 2/21*d**7 + 3/25*d**5. Factor w(f).
f*(4*f + 1)*(5*f + 2)**2/5
Let g(y) be the third derivative of -y**7/840 + y**5/120 - y**3/24 - 5*y**2. Factor g(h).
-(h - 1)**2*(h + 1)**2/4
Let n be -1 - (-2 - 4/(-4)). Let