w - 1)*(w + 1)/4
Let g = 8 + -4. Factor g + 14*l**2 + 0*l + l + 21*l - 4*l.
2*(l + 1)*(7*l + 2)
Suppose -5*j - 7 = -4*j + 3*u, -2 = 5*j + 4*u. Let r(m) be the first derivative of -2 - 2/3*m**3 - 1/2*m**4 + m**2 + j*m. Factor r(w).
-2*(w - 1)*(w + 1)**2
Let c(h) be the second derivative of -3*h**5/20 + 3*h**4/4 - 3*h**3/2 + 3*h**2/2 + 14*h. Factor c(f).
-3*(f - 1)**3
Suppose l - 3*t - 3 = -2*l, -2 = -3*l + 2*t. Let j = -127/2 - -64. Factor 3/4*d**3 + l - j*d**4 + 0*d**2 - 1/4*d.
-d*(d - 1)**2*(2*d + 1)/4
Solve 1/6*k**2 + 0 - 1/2*k**3 - 1/6*k**4 + 1/2*k = 0.
-3, -1, 0, 1
Let i(x) = -2*x**2 + 27*x - 83. Let j be i(8). Determine w so that -1/2*w**2 + 0*w**4 + 1/4*w**j + 0 + 0*w - 3/4*w**3 = 0.
-1, 0, 2
Suppose 0 = 3*s + 125 + 100. Let r be 2 + s/27 - -1. Factor r*g - 4/9*g**4 + 0 - 8/9*g**2 + 10/9*g**3.
-2*g*(g - 1)**2*(2*g - 1)/9
Find x such that x**3 - x**4 + 2*x**2 + x + x**5 + 1 - 2 - 3*x**3 = 0.
-1, 1
Let s(r) be the third derivative of 0 + 0*r**3 + 0*r - 2*r**2 + 1/180*r**5 + 0*r**4. Factor s(l).
l**2/3
Suppose -3*d - d + 12 = 0. Factor 0*u**3 + 2*u**d + 2*u**4 - 5*u**4 + u**3.
-3*u**3*(u - 1)
Let b(c) = c**2 + 8*c + 1. Suppose -5*q + 2*l - 42 = 0, 26 = -5*q - 2*l - 12. Let z be b(q). Factor -5*a + a**2 + 3*a + 0*a + z.
(a - 1)**2
Let q(w) be the first derivative of 3*w**5/35 - 3*w**4/7 + 3*w**3/7 + 39. Solve q(v) = 0.
0, 1, 3
Let t = 300 - 2397/8. Let h(f) be the first derivative of -t*f**2 + 0*f**3 + 1 + 1/2*f + 1/16*f**4. Factor h(m).
(m - 1)**2*(m + 2)/4
Let s(i) be the second derivative of 0*i**4 - 1/84*i**7 - 1/40*i**5 + 2*i + 0*i**2 + 0 + 1/30*i**6 + 0*i**3. Factor s(h).
-h**3*(h - 1)**2/2
Let d(r) be the first derivative of -3*r**5/40 - r**4/4 + r**3/4 + 3*r**2/2 - 8*r - 6. Let h(c) be the first derivative of d(c). Factor h(m).
-3*(m - 1)*(m + 1)*(m + 2)/2
Suppose 0 = -q + 1, -5*z - q - 2*q = -3. Suppose z*i + 1/4*i**2 + 0 = 0. What is i?
0
Let y be 74/(-180) - 6/27. Let l = -2/15 - y. Factor -1/2*q**4 + 0*q**2 + 0*q + l*q**3 + 0.
-q**3*(q - 1)/2
Let j be (-208)/(-48) + 0 + 6/9. Factor 6/5*h + 4/5*h**2 - 6/5*h**4 + 2/5 - 4/5*h**3 - 2/5*h**j.
-2*(h - 1)*(h + 1)**4/5
Let q(z) = 4*z. Let l be q(5). Suppose 11*n**4 - 36*n**2 - 10*n**4 + l*n**4 + 12*n - 27*n**3 = 0. What is n?
-1, 0, 2/7, 2
Let s(x) be the third derivative of -3*x**5/80 + 5*x**4/64 + x**3/16 - 17*x**2. Factor s(l).
-3*(l - 1)*(6*l + 1)/8
Suppose -4*x + 0*x + 8 = 0. Let i(d) = d**2 + 8*d + 17. Let n be i(-4). Let 0*s**x - 3 - s + s**2 + n = 0. Calculate s.
-1, 2
Let b be 175/715 - (-6)/(-66). Factor 0*u + b*u**2 + 0.
2*u**2/13
Factor 3/5*x + 2/5 + 1/5*x**2.
(x + 1)*(x + 2)/5
Suppose -5*u - 10 = -4*f - 0*u, 3*f + 3*u - 21 = 0. Suppose -f*g = -13 - 7. Factor 0*k + 2/3*k**2 - 5/3*k**g - k**3 + 0.
-k**2*(k + 1)*(5*k - 2)/3
Suppose 40*u = 44*u. Let a(s) be the first derivative of 0*s + 2/45*s**5 - 3 + 0*s**4 + u*s**3 + 0*s**2. Find x, given that a(x) = 0.
0
Suppose 0 = -2*o - 6, 3*m - 4 = -4*o - 10. Factor -1/4*w**5 + 0 - w**4 - 1/4*w - w**m - 3/2*w**3.
-w*(w + 1)**4/4
Suppose -4*v = 16 - 52. Determine u so that 5*u + 27 - 12*u - v*u - 2*u + 3*u**2 = 0.
3
Let u(b) be the third derivative of b**5/240 - b**4/48 - 10*b**2. Factor u(h).
h*(h - 2)/4
Let g(i) be the second derivative of 1/18*i**4 + 0 - 1/3*i**2 - 1/30*i**5 + 2*i + 1/9*i**3. Suppose g(z) = 0. What is z?
-1, 1
Determine m so that -7*m**2 - 16 + 0*m**2 + 2*m**2 + 9*m**2 = 0.
-2, 2
Let p be (-6 + (0 - -4))*1/(-6). Let j = -8/3 - -3. Find q, given that p*q**2 + 0*q - j = 0.
-1, 1
Let h(l) be the second derivative of 2*l - 2/5*l**5 + 0 + 5/6*l**4 + 0*l**2 - 1/3*l**3. Determine t so that h(t) = 0.
0, 1/4, 1
Let r be ((-2)/(-42)*4)/(30/35). Find p such that 8/9 - 8/9*p + r*p**2 = 0.
2
Let i = 6 - 3. Suppose j + i*b = -1 - 3, -4 = -3*j - b. Factor -3*g + 3 + g + j*g**2 - 1 - 2*g.
2*(g - 1)**2
Let r(x) = -15*x**4 - 59*x**3 - 40*x**2 - 12*x + 8. Let t(z) = 10*z**4 + 39*z**3 + 27*z**2 + 8*z - 5. Let a(q) = -5*r(q) - 8*t(q). Suppose a(o) = 0. What is o?
-2, -1, -2/5, 0
Factor -8/9 + 10/3*r + 8/9*r**2.
2*(r + 4)*(4*r - 1)/9
Let b(y) = y**3 + 4*y**2 - 2. Let p be b(-2). Let w(j) = j**2 - 5*j - 4. Let f be w(p). Factor 2*x**2 - x + 3*x + 0*x**f.
2*x*(x + 1)
Determine a so that 0 + 2/17*a**2 + 0*a + 2/17*a**3 = 0.
-1, 0
Let j(p) be the first derivative of p**4/12 + 4*p**3/9 - 49. Factor j(q).
q**2*(q + 4)/3
Let u be -2*71/144 + 1. Let f(c) be the third derivative of 0*c**3 - u*c**6 - c**2 + 0 + 7/180*c**5 + 0*c - 1/36*c**4. Let f(y) = 0. What is y?
0, 2/5, 1
Let l(p) be the third derivative of -1/2*p**4 - 4/3*p**3 + 0*p - p**2 + 0*p**5 + 1/30*p**6 + 0. Factor l(s).
4*(s - 2)*(s + 1)**2
Factor -3/7*k**2 + 1/7*k + 0 + 2/7*k**3.
k*(k - 1)*(2*k - 1)/7
Let j(x) = 7*x**4 - 6*x**3 - 4*x**2 + 6*x - 3. Let c(v) = -8*v**4 + 6*v**3 + 5*v**2 - 6*v + 3. Let s(h) = -4*c(h) - 5*j(h). Factor s(w).
-3*(w - 1)**3*(w + 1)
Let u be 29/9 + (-10)/45. Let d(s) be the third derivative of 0*s**u + 1/90*s**5 - 4*s**2 + 1/180*s**6 + 0*s + 0 - 1/315*s**7 - 1/36*s**4. Factor d(f).
-2*f*(f - 1)**2*(f + 1)/3
Factor 2/9*v**2 + 2/9 + 4/9*v.
2*(v + 1)**2/9
Let l(s) = 9*s - 329. Let d be l(37). Factor 3/2*j + 3/2*j**2 - 3/2*j**3 - 3/2*j**d + 0.
-3*j*(j - 1)*(j + 1)**2/2
Let u(d) be the first derivative of d**4/8 + 5*d**3/6 + 2*d**2 + 2*d - 3. Factor u(v).
(v + 1)*(v + 2)**2/2
Let a(w) be the third derivative of -3*w**5/20 + 5*w**4/4 - 3*w**3/2 + 8*w**2. Factor a(c).
-3*(c - 3)*(3*c - 1)
Let b(u) be the third derivative of u**9/30240 - u**8/13440 - u**7/5040 + u**6/1440 - u**4/12 - 4*u**2. Let r(h) be the second derivative of b(h). Factor r(m).
m*(m - 1)**2*(m + 1)/2
Let u(o) = 2*o**2 + 3*o - 7. Let l be u(-3). Factor 4/5 + 2/5*j**4 - 14/5*j - 2*j**3 + 18/5*j**l.
2*(j - 2)*(j - 1)**3/5
Suppose 41 = -2*n - 3*n - 3*y, -n - 4 = 2*y. Let b be n/(-42) + 3/9. Suppose 4/7*x**3 - 2/7*x**4 + 0*x**2 + 2/7 - b*x = 0. Calculate x.
-1, 1
Factor 1 + 2/3*g - 1/3*g**2.
-(g - 3)*(g + 1)/3
Let p(l) be the third derivative of -l**6/40 + 3*l**4/8 - l**3 - 13*l**2. Determine s so that p(s) = 0.
-2, 1
Let c be 5 + (-324)/42 + 3. Factor 6/7*y**2 + 0 + 6/7*y**3 + 2/7*y + c*y**4.
2*y*(y + 1)**3/7
Let x(d) be the third derivative of 0 + 1/200*d**6 + 0*d**4 + 0*d + 0*d**3 + 1/50*d**5 + 7*d**2. Factor x(w).
3*w**2*(w + 2)/5
Suppose -3/5*f**2 - 3/5*f + 6/5 = 0. What is f?
-2, 1
Let g(a) be the third derivative of a**6/80 - a**2. Factor g(o).
3*o**3/2
Let y(w) be the second derivative of -w**4/4 + w**3/3 + w**2/2 - 2*w. Factor y(i).
-(i - 1)*(3*i + 1)
Factor -115*d - 89*d - 336*d - 7*d**3 + 1080 + 2*d**3 + 90*d**2.
-5*(d - 6)**3
Let n be 340/600 - 3/45. Factor n*i**4 - 2*i**3 + 0 - i + 5/2*i**2.
i*(i - 2)*(i - 1)**2/2
Let g(s) be the first derivative of 2 + 3/4*s**4 - 3/2*s**2 + 1/5*s**5 - 2*s + 1/3*s**3. Factor g(o).
(o - 1)*(o + 1)**2*(o + 2)
Let h = 16 - 13. Let t(y) = -6*y**3 - 4*y**2 + 2*y + 4. Let v(d) = -5*d**3 - 3*d**2 + 2*d + 3. Let j(s) = h*t(s) - 4*v(s). Factor j(l).
2*l*(l - 1)*(l + 1)
Let z(n) = -3*n + 1. Let b be z(-4). Suppose -5*a + 4*t - 5 = 0, -b = -a - 2*t - 0*t. What is l in 2/3 + 8/3*l**2 + l**a + 7/3*l = 0?
-1, -2/3
Find h, given that -2/7 - 2/7*h**2 - 4/7*h = 0.
-1
Let k be (3/(-9))/(2/(-3)). Factor -k*q**4 + 0*q + q**2 + 0*q**3 - 1/2.
-(q - 1)**2*(q + 1)**2/2
Let g = 13 - 9. Factor -59*y**4 - 32*y**3 - 18*y**g - 54*y**5 - 4*y**2 + 5*y**5.
-y**2*(y + 1)*(7*y + 2)**2
Let y be (6/(-9))/(1/(-9)). Solve 7*f + 6*f**2 + 0*f**4 + 2*f**4 - y*f**3 - 9*f = 0 for f.
0, 1
Let y(r) be the second derivative of 0 + 1/60*r**5 + 1/6*r**3 + 1/12*r**4 + 2*r + r**2. Let x(k) be the first derivative of y(k). Solve x(v) = 0 for v.
-1
Let f(c) = -c**4 + c**2 - c + 1. Let n(x) = -2*x**4 + 11*x**3 - 11*x**2 + 3*x - 1. Let y(d) = 6*f(d) + 3*n(d). Factor y(u).
-3*(u - 1)**3*(4*u + 1)
Let y(x) = x**2 - 6*x - 7. Let z be 15/(-40) + 177/24. Let n be y(z). Determine k so that -1/2*k**2 + 1/2 + n*k = 0.
-1, 1
Let y(g) = -g + 12. Let p be y(9). Suppose p*i - 3 - 9 = 0. Let -6/7*r**i + 6/7*r**3 + 0*r + 0 + 2/7*r**5 - 2/7*r**2 = 0. Calculate r.
0, 1
Let o(x) be the second derivative of x**5/5 + 3*x**4 + 16*x**3 + 32*x**2 - 13*x. Factor o(n).
4*(n + 1)*(n + 4)**2
Let v(s) be the first derivative of -1/21*s**3 + 2 - s + 1/70*s**5 - 1/42*s**4 + 1/7*s**2. Let d(h) be the first derivative of v(h). Factor d(c).