1, 0, 3
Let c = 4817/5 + -989. Let o = c - -26. Factor o - 2/5*d**3 - 2/5*d**2 + 2/5*d.
-2*(d - 1)*(d + 1)**2/5
Let l(c) be the second derivative of 2*c**7/21 + 2*c**6/5 + 2*c**5/5 - 3*c. Factor l(p).
4*p**3*(p + 1)*(p + 2)
Let p = -18/5 - -59/15. Let d(t) be the first derivative of -1 + 0*t**2 + 0*t - p*t**3. Factor d(z).
-z**2
Let p(m) be the third derivative of -2*m**7/105 + m**6/10 - 2*m**4/3 - 4*m**2. Factor p(y).
-4*y*(y - 2)**2*(y + 1)
Suppose 0 = j - 2*j - 2*n - 134, 0 = -5*j - 5*n - 665. Let i be 62/22 - 24/j. Factor 0 - 1/4*h - 1/4*h**2 + 1/4*h**i + 1/4*h**4.
h*(h - 1)*(h + 1)**2/4
Let r(w) be the second derivative of w**7/42 + w**6/15 + w**5/20 + 2*w. Factor r(c).
c**3*(c + 1)**2
Factor 14*g - 4*g**4 - 10*g**2 - 18*g + 6*g**4 + 8*g**4 + 4*g**3.
2*g*(g - 1)*(g + 1)*(5*g + 2)
Let l(p) be the third derivative of -1/112*p**8 + 1/40*p**6 + 0*p + 0*p**4 + 1/20*p**5 - 4*p**2 + 0 + 0*p**3 - 1/70*p**7. Determine c so that l(c) = 0.
-1, 0, 1
Suppose 6*t**4 + 2*t**4 - 6*t**4 = 0. Calculate t.
0
Let d(o) be the second derivative of 1/6*o**4 - 1/20*o**5 + 8*o + 0*o**3 + 0*o**2 + 0. Factor d(a).
-a**2*(a - 2)
Let m(g) be the third derivative of g**6/300 - g**4/20 - 2*g**3/15 + 20*g**2. Determine o, given that m(o) = 0.
-1, 2
Suppose 1 = -2*r + 21. Let d be (-5)/r - 6/(-8). Factor 0*p + 0 + d*p**2.
p**2/4
Find j such that 0 + 0*j + 2/3*j**4 + 2/3*j**3 + 0*j**2 = 0.
-1, 0
Factor -5/4*h**4 + 0*h + 0*h**3 + 0 + 5/4*h**5 + 0*h**2.
5*h**4*(h - 1)/4
Let c(n) be the first derivative of 2*n**6/3 + 8*n**5/5 - 8*n**3/3 - 2*n**2 + 14. What is w in c(w) = 0?
-1, 0, 1
Let u(j) = -17*j**2 + 18*j - 9. Let g = 17 + -9. Let p(z) = -6*z**2 + 6*z - 3. Let f(w) = g*p(w) - 3*u(w). Solve f(a) = 0 for a.
1
Let h(i) = -54*i + 3. Let n be h(2). Let k be (5/n)/(2/(-24)). Factor 0 - k*o - 2/7*o**2.
-2*o*(o + 2)/7
Let b(r) be the first derivative of r**3 - 3*r**2/2 - 18*r - 5. Factor b(c).
3*(c - 3)*(c + 2)
Let t(l) be the second derivative of 1/60*l**6 + 0 + 0*l**4 + 2*l**2 + l + 0*l**3 + 0*l**5. Let a(v) be the first derivative of t(v). Let a(z) = 0. What is z?
0
Let c = 6 + -3. Determine x so that 2*x**2 + c - 6*x**2 + 2*x + 1 - 2 = 0.
-1/2, 1
Suppose 5*m + b + b = 9, 0 = -3*m - 3*b. Let u(h) be the third derivative of -1/15*h**5 - 4*h**2 + 0 + 2/3*h**m + 0*h + 1/4*h**4. Factor u(t).
-2*(t - 2)*(2*t + 1)
Let s(z) be the first derivative of 2*z**3/39 + 3*z**2/13 - 4. Factor s(p).
2*p*(p + 3)/13
Factor -2*x**3 - 10*x**2 - x**3 + 13*x**2.
-3*x**2*(x - 1)
Let c(h) be the second derivative of -h**6/285 - 7*h**5/190 - 11*h**4/114 - 5*h**3/57 - 11*h. Factor c(x).
-2*x*(x + 1)**2*(x + 5)/19
Let 0*m**2 + 0*m - 6/5*m**4 + 3/5*m**5 + 0 + 3/5*m**3 = 0. Calculate m.
0, 1
Let b = -5 - -11. Let g be 2*(-1 - (-8)/b). Solve -2/3*q**2 + 0*q + 0 + g*q**4 + 0*q**3 = 0.
-1, 0, 1
Let b = -319 - -1597/5. Solve 0 + 2/5*o**3 + b*o**4 - 2/5*o**2 - 2/5*o = 0.
-1, 0, 1
Let v(a) be the third derivative of -a**7/630 + a**6/90 - a**5/60 + 30*a**2. Determine b so that v(b) = 0.
0, 1, 3
Let j = 7 - 2. Let h be (-7)/j + 0 + 2. Solve -h*l**2 - 12/5 + 12/5*l = 0 for l.
2
Let y(m) be the second derivative of -m**3/6 - m**2 + 2*m. Let l be y(-5). Determine q so that 0*q**2 + 0*q**4 - 2/3*q + 4/3*q**l + 0 - 2/3*q**5 = 0.
-1, 0, 1
Let b(u) = u**3 - 2*u**2 - 3*u + 1. Let x be b(3). Let n be x*(2 - -3) + -2. Let 2*z**3 + 4*z**n + z**2 - 5*z**3 = 0. Calculate z.
-1, 0
Let n(c) be the first derivative of c**6/480 + c**5/120 + c**4/96 - c**2 - 2. Let w(k) be the second derivative of n(k). What is u in w(u) = 0?
-1, 0
Let w(h) = -2*h**5 + 2*h**4 - 4*h**3 - 2*h**2 - 3. Suppose t - 4*t = -18. Let y(b) = b**5 - b**4 + b**3 + b**2 + 1. Let g(n) = t*y(n) + 2*w(n). Solve g(s) = 0.
-1, 0, 1
Let s(f) be the third derivative of f**10/105840 + f**9/26460 + f**8/23520 - f**4/24 + f**2. Let v(k) be the second derivative of s(k). Solve v(g) = 0.
-1, 0
Suppose -m = 4, 8*f - 3*f - 3*m + 178 = 0. Let q = f + 116/3. Factor 4/3*r**2 + q*r - 2/3 - 2/3*r**4 + 2/3*r**5 - 4/3*r**3.
2*(r - 1)**3*(r + 1)**2/3
Let n(t) be the second derivative of t**7/378 - t**5/180 + 16*t. Solve n(b) = 0 for b.
-1, 0, 1
Let l be (-2)/(-20)*5*8/5. Factor 18/5*m - l - 14/5*m**2.
-2*(m - 1)*(7*m - 2)/5
Let a(x) = -x**3 + 6*x**2 - 3*x - 8. Let t be a(5). Let c(j) be the third derivative of 0*j + 1/120*j**5 + 0*j**4 + t*j**2 + 0*j**3 + 0. Factor c(d).
d**2/2
Let o(i) be the second derivative of i**6/150 + i**5/50 + i**4/60 + 3*i. Solve o(g) = 0 for g.
-1, 0
Let b(a) = a**4 - 4*a**3 - a**2 - 2*a - 2. Let i(j) = -2*j**4 + 13*j**3 + 3*j**2 + 7*j + 7. Let c(u) = -7*b(u) - 2*i(u). Factor c(v).
-v**2*(v - 1)*(3*v + 1)
Let i(l) be the first derivative of l**7/840 + l**6/480 - 2*l**2 + 4. Let c(a) be the second derivative of i(a). Determine d so that c(d) = 0.
-1, 0
Let h(x) be the second derivative of 1/3*x**4 + 0*x**2 + x + 1/3*x**3 + 0. Factor h(o).
2*o*(2*o + 1)
Let i(a) = -100*a**5 - 56*a**4 - 8*a**3 - 2*a**2 + 2*a + 2. Let b(r) = -r**5 - r**2 + r + 1. Let z(d) = -4*b(d) + 2*i(d). Suppose z(o) = 0. What is o?
-2/7, 0
Determine i so that 32/9*i + 196/9*i**4 + 0 + 56*i**3 + 80/3*i**2 = 0.
-2, -2/7, 0
Let o(f) = 9 - 7*f**2 - 108*f - f**3 + 0 + 103*f. Let v be o(-6). Factor 1 - 1/2*h - h**2 + 1/2*h**v.
(h - 2)*(h - 1)*(h + 1)/2
Let m(j) = -j**2 + j + 1. Let c(g) = -7*g**2 + 11*g + 6. Let a(x) = c(x) - 6*m(x). Factor a(b).
-b*(b - 5)
Let j(y) = y + 1. Let s be j(7). Let l be 0 - 3/((-6)/s). Let -9*v - 12*v**2 + 3 + 4 - l = 0. Calculate v.
-1, 1/4
Let g(h) = -h. Let r be g(-6). Suppose -2*v + z - 5*z - r = 0, 9 = 5*v + 2*z. Factor -v*l**4 + l**2 + 2*l**4 + l**3 + l**2.
-l**2*(l - 2)*(l + 1)
Let v be (-7)/(-3) + 1/(-3). Suppose 3*x + 1 = -0*x - v*k, 15 = 5*x - 5*k. Solve s**2 - x - s + s = 0.
-1, 1
Let v(q) = -q**4 - 8*q**3 - q**2 + 21*q + 15. Let x(c) = -c**4 + c**2 - c - 1. Let f(b) = -v(b) + 3*x(b). Let f(z) = 0. Calculate z.
-1, 3
Suppose -4/7*b + 24/7*b**3 + 12/7*b**5 + 0*b**2 + 0 + 32/7*b**4 = 0. Calculate b.
-1, 0, 1/3
Let a = -16 - -10. Let z be (18/a)/((-6)/8). Factor -7*y**3 + 1 - 2*y**4 + y**3 + 3*y**z + 13*y**2 - 12*y + 3.
(y - 2)**2*(y - 1)**2
Let x(k) = -9*k - 1. Let a be x(-14). Let a - 2*i**2 - 125 + 2*i**4 = 0. What is i?
-1, 0, 1
Suppose 2*v + 0*u = -2*u + 10, -3*v + 4*u = 6. Let g be (-12)/(-27) - (-2)/9. Factor -5/3*w + 2/3*w**v + 5/3*w**3 - g.
(w - 1)*(w + 1)*(5*w + 2)/3
Factor 5/3 + 10/3*u**3 + 10/3*u**2 - 5*u + 5/3*u**5 - 5*u**4.
5*(u - 1)**4*(u + 1)/3
Let n(c) = 52*c**2 + 20*c - 312. Let p(l) = 8*l**2 + 3*l - 48. Let u(v) = 5*n(v) - 32*p(v). Let u(f) = 0. What is f?
-3, 2
Let v(f) be the third derivative of -f**6/300 + f**4/60 - 6*f**2. Let v(l) = 0. Calculate l.
-1, 0, 1
Suppose -8 = -n - n. Suppose a + 6*f - 24 = 2*f, 20 = n*f. Factor -2*j + 2*j + 2*j**3 - j**2 - j**a.
-j**2*(j - 1)**2
Let s(j) be the second derivative of j**4/15 + 4*j**3/5 + 16*j**2/5 + 5*j + 7. Factor s(i).
4*(i + 2)*(i + 4)/5
Suppose -5*l + 1 = u - 14, 4*l = 4*u - 12. Find d such that 5*d**2 - d**2 - u*d**2 - 4*d - 4 + 0*d**2 = 0.
-2
Suppose -24*f = -18*f. Factor 0 + 0*j + f*j**2 + 1/5*j**3.
j**3/5
Let o = -17 + 20. Let u(z) be the third derivative of -1/15*z**4 - 3*z**2 - 4/15*z**o + 0*z - 1/150*z**5 + 0. Factor u(i).
-2*(i + 2)**2/5
Find o, given that -15/4*o**2 + 0 - 3/2*o + 9/4*o**4 + 3*o**3 = 0.
-2, -1/3, 0, 1
Suppose 5*q = -3*s - 16, 5 = 4*s + q - 2. Let 12*z**2 + 0*z**2 - 18*z**s - 11*z + 8*z - 3*z**5 + 12*z**4 = 0. What is z?
0, 1
Let b = -1 + 1. Suppose 0*u - u + 2 = b. Factor -3 - 6*m - 4*m**u - 4*m**2 + 5*m**2.
-3*(m + 1)**2
Determine u so that -u**2 - 25*u - 2*u**2 + 2 + 8*u**2 + 18 = 0.
1, 4
Let k(b) be the third derivative of -1/72*b**4 + 1/315*b**7 + 0*b - 1/90*b**5 + 0 - 4*b**2 + 1/1008*b**8 + 0*b**6 + 0*b**3. Factor k(f).
f*(f - 1)*(f + 1)**3/3
Suppose 2 - 1 = d. Let b(o) = -o**3 + o**2. Let c be b(d). Factor -2*h**2 - 1 + c - 5*h + 3*h + h**2.
-(h + 1)**2
Let k(c) = -c**2 + 0 + 0 - c**4 - 2*c**3 + 5*c**2 - 1. Let u(x) = 5*x**4 + 11*x**3 - 21*x**2 + 5. Let l(w) = 33*k(w) + 6*u(w). Factor l(b).
-3*(b - 1)**2*(b + 1)**2
Suppose 2*v = -3*u + 5*u - 6, 0 = v + 2*u - 6. Suppose 1/3*o**3 + 2/3*o**2 + v + 1/3*o = 0. What is o?
-1, 0
Let z = -7 - -15/2. Factor -z*w - 1/2*w**5 + 0 - 2*w**4 - 2*w**2 - 3*w**3.
-w*(w + 1)**4/2
Suppose 0 = 5*w + 2*d - 5, -2*w = -0*d - 