 = -649/4 - -163. Factor s**3 - x*s**5 - w*s + 1/2 - 1/2*s**2 + 0*s**4.
-(s - 1)**3*(s + 1)*(s + 2)/4
Let v = 5 + -449/90. Let r(l) be the third derivative of 0 + 1/9*l**3 - l**2 + 0*l**4 + 0*l - v*l**5. Factor r(a).
-2*(a - 1)*(a + 1)/3
Let l = 75/328 + 6/41. Factor -3/8 - 3/4*x**3 + 3/4*x + 0*x**2 + l*x**4.
3*(x - 1)**3*(x + 1)/8
Let p(d) be the third derivative of 1/30*d**6 + 0*d + 0*d**3 + 1/15*d**5 + 0*d**4 + 0 + 8*d**2. Factor p(w).
4*w**2*(w + 1)
Let d(j) be the third derivative of 0*j**3 + 1/24*j**4 - 1/210*j**7 + 4*j**2 - 1/120*j**6 + 0 + 0*j + 1/60*j**5. Suppose d(y) = 0. What is y?
-1, 0, 1
Let n(p) be the second derivative of p**4/4 - 3*p**3 + 27*p**2/2 - 11*p. Factor n(b).
3*(b - 3)**2
Let h = -3 - -7. Find f such that 0*f**3 + f**5 - f**h + f**2 - f**3 + 0*f**4 + 0*f**4 = 0.
-1, 0, 1
Suppose -7*f + 4*f = -18. Let k be ((-2)/3)/((-2)/f). Factor 2*i**k + 0 + 0 + 2*i.
2*i*(i + 1)
Let d(k) be the first derivative of -5*k**3/3 + 5*k**2 - 5*k - 13. Factor d(o).
-5*(o - 1)**2
Let b(n) be the second derivative of -n**4/8 - 5*n**3/4 - 3*n**2 - 37*n. What is d in b(d) = 0?
-4, -1
Let o(a) be the first derivative of -a**5/10 + a**4/2 - 4*a**2 - 2*a - 3. Let g(n) be the first derivative of o(n). Factor g(t).
-2*(t - 2)**2*(t + 1)
Let i(z) = z**3 + z**2 + 3. Let v be i(0). Let s be v + -3 - 2/(-7). Factor 0*d + 0 - s*d**2.
-2*d**2/7
Factor 2*l**2 - 3*l**2 + 21 - 45*l + 7*l**2.
3*(l - 7)*(2*l - 1)
Let 0 - 4/3*l**3 + 8/9*l**4 - 2/9*l**5 - 2/9*l + 8/9*l**2 = 0. Calculate l.
0, 1
Let b = 16 + -11. Let z(t) be the second derivative of 0 - 2/15*t**4 + 0*t**2 + t + 1/105*t**7 + 3/25*t**b + 1/15*t**3 - 4/75*t**6. Factor z(i).
2*i*(i - 1)**4/5
Factor 4*x + 4*x**2 - 4*x - 2*x.
2*x*(2*x - 1)
Determine i, given that -4*i**3 + 20*i - 16*i + i - i**3 = 0.
-1, 0, 1
Let -1/4*v**2 - 5/4 - 3/2*v = 0. Calculate v.
-5, -1
Let v(j) be the third derivative of j**7/35 + j**6/30 - 7*j**5/30 + j**4/6 + j**2. Factor v(d).
2*d*(d - 1)*(d + 2)*(3*d - 1)
Factor -6*y**2 + 32*y - 6 + 13 - 7*y**3 - y**4 + 25.
-(y - 2)*(y + 1)*(y + 4)**2
Suppose 3 = 2*j - 5. Let l(d) be the second derivative of 0 + 0*d**2 - d + 1/30*d**5 - 1/18*d**j - 1/9*d**3 + 1/45*d**6. Suppose l(c) = 0. What is c?
-1, 0, 1
Factor -4/9*c**2 + 0*c + 0 + 2/9*c**3.
2*c**2*(c - 2)/9
Let j(u) be the first derivative of -u**6/1440 - u**3/3 - 3. Let b(x) be the third derivative of j(x). Find t, given that b(t) = 0.
0
Let h = 15 + -12. Let u(v) be the first derivative of 1/5*v**h + 1 - 1/5*v**2 + 0*v. Find w, given that u(w) = 0.
0, 2/3
Let x(h) be the first derivative of h**3/3 + 11*h**2/2 + 12*h + 10. Let n be x(-10). Determine a, given that -1/2*a + 0 + n*a**2 = 0.
0, 1/4
Suppose 26*h = 9*h + 51. Factor -2/7*o**h - 2/7*o**2 + 0 + 0*o.
-2*o**2*(o + 1)/7
Suppose 0 = 5*y + 540 - 50. Let n = y - -690/7. What is k in 2/7*k**3 + 0 + 2/7*k - n*k**2 = 0?
0, 1
Let b(h) be the third derivative of -2*h**7/315 + h**6/90 + h**5/45 - h**4/18 - 39*h**2. Factor b(f).
-4*f*(f - 1)**2*(f + 1)/3
Let r(o) = 10*o + 174. Let g be r(-17). What is k in 2/5*k**2 - 2/5*k**3 - 2/5*k**g + 2/5*k + 0 = 0?
-1, 0, 1
Let g(q) = q**3 + 4*q**2 + 3*q. Let a be g(-2). Factor 4*n**5 - a*n**4 - 3*n**5 + 3*n**4.
n**4*(n + 1)
Let o(u) = -2*u**2 + 22*u - 20. Let t be o(10). Solve t*p**3 - 2/5 - 2/5*p**4 + 4/5*p**2 + 0*p = 0 for p.
-1, 1
Factor 5 + 3*f**2 - 4 + 2*f**3 - 3*f**3 - 3*f.
-(f - 1)**3
Let w be (308/(-24))/(-11) - 5/5. Find s, given that -1/3*s**4 + 1/3*s**2 + 0*s + w*s**3 + 0 - 1/6*s**5 = 0.
-2, -1, 0, 1
Suppose 3*x - 15 = -2*x - 5*q, -33 = -3*x + 5*q. Suppose -11*a + 8*a + x = 0. Find v, given that 2/7*v**a - 2/7 + 8/7*v**3 - 8/7*v = 0.
-1, -1/4, 1
Let z(p) = p - 9. Let t be z(9). Find f such that -2*f**2 + f**2 + 4*f**3 + t*f - 2*f + 3*f**4 = 0.
-1, 0, 2/3
Let i(x) = x**4 - 9*x**3 - 2*x**2 + 9*x + 1. Let y(n) = 8*n**3 + 2*n**2 - 8*n - 2. Let f(j) = -4*i(j) - 6*y(j). Suppose f(o) = 0. What is o?
-2, -1, 1
Let i = 10 + -8. Factor -3*z - z**4 - z**3 + 0*z**3 + 3*z + z + 3*z**2 - i.
-(z - 1)**2*(z + 1)*(z + 2)
Factor 0*v - 4/3*v**4 + 0*v**2 + 0 - 2/3*v**3 - 2/3*v**5.
-2*v**3*(v + 1)**2/3
Let t(u) be the second derivative of u**9/45360 - u**7/7560 + u**4/2 + 8*u. Let c(r) be the third derivative of t(r). Factor c(j).
j**2*(j - 1)*(j + 1)/3
Let d(k) be the second derivative of -k**4/18 - k**3/9 + 44*k. Factor d(p).
-2*p*(p + 1)/3
Let h(p) be the first derivative of p**4/28 + 4*p**3/21 + 5*p**2/14 + 2*p/7 + 14. Factor h(s).
(s + 1)**2*(s + 2)/7
Let n = 821 - 4087/5. Factor n*k - 27/5 - 3/5*k**2.
-3*(k - 3)**2/5
Determine a so that -2/7*a**2 - 10/7 - 12/7*a = 0.
-5, -1
Let r be -2 + -1*(-4)/1. Find i such that 2*i**2 + 2*i**4 + r*i**3 - 4*i**4 - 2*i**3 = 0.
-1, 0, 1
Let k(l) be the third derivative of -l**5/75 - 3*l**4/40 - l**3/15 + 3*l**2. Suppose k(a) = 0. What is a?
-2, -1/4
Let i(x) be the first derivative of -7*x**6/180 + x**5/10 - x**4/18 + x**2 + 6. Let b(v) be the second derivative of i(v). Factor b(q).
-2*q*(q - 1)*(7*q - 2)/3
Let h(w) = -w**2 + 13*w - 10. Let i be 10/55 + 390/33. Let t be h(i). Factor -4/3*o + o**t + 1/3.
(o - 1)*(3*o - 1)/3
Let u(i) be the third derivative of 7*i**2 - 5/48*i**4 + 0*i + 1/6*i**3 + 1/30*i**5 - 1/240*i**6 + 0. Factor u(f).
-(f - 2)*(f - 1)**2/2
Let o(r) be the first derivative of -r**4/16 + r**3/12 + 8. Suppose o(v) = 0. Calculate v.
0, 1
Factor -12/5*c**3 + 0 - 2/5*c**5 - 2/5*c + 8/5*c**4 + 8/5*c**2.
-2*c*(c - 1)**4/5
Let q(m) be the first derivative of 3*m**5/5 - 2. Solve q(u) = 0 for u.
0
Let i be 3 - (2 + (4 - 5 - 0)). Let n(u) be the first derivative of -i + 0*u + 0*u**3 - u**2 + 1/2*u**4. Find s, given that n(s) = 0.
-1, 0, 1
Let r(l) be the third derivative of l**10/120960 - l**8/13440 + l**6/2880 - l**4/24 + 3*l**2. Let x(u) be the second derivative of r(u). Factor x(w).
w*(w - 1)**2*(w + 1)**2/4
Let r be 3 - 72*16/4. Let g = 863/3 + r. Find t, given that 0*t + 2*t**2 + 2/3*t**3 - g = 0.
-2, 1
Let b be -1 - 1*(-3 - 0). Suppose 6 = b*l, 0 = y - 6*y - 2*l + 16. Find v such that -4/7*v - 2/7*v**y - 2/7 = 0.
-1
Suppose -1 = 2*v + 1, 5*v = -3*i - 5. Suppose i = -c - 0 + 3. Let 4*h + 33*h**c - h**3 - 10*h**4 - 22*h**2 - 4*h**4 = 0. Calculate h.
0, 2/7, 1
Let z(f) be the second derivative of f**4/4 - 5*f**3 + 75*f**2/2 + 13*f. Factor z(c).
3*(c - 5)**2
Suppose 3*d - 4*o = -10, 6*d - 2 = 3*d + o. Factor 5*u**3 + 0*u - d - 3*u - 4*u**3 + 0*u**3.
(u - 2)*(u + 1)**2
Suppose -24 = -4*k - 8. Suppose -u + k = u. Let -a**2 + a**2 - a**2 - a + 1 - a**u = 0. Calculate a.
-1, 1/2
Let h(a) be the second derivative of -a**7/84 - 3*a**6/20 - 27*a**5/40 - 9*a**4/8 + 19*a. Factor h(u).
-u**2*(u + 3)**3/2
Let x(k) be the third derivative of -3*k**6/40 + 19*k**5/40 - k**4 + k**3 - 5*k**2. What is c in x(c) = 0?
1/2, 2/3, 2
Let q = 1951/210 - -3/70. Find z such that 0 + 8/3*z - 125/3*z**5 - 10*z**3 - q*z**2 + 175/3*z**4 = 0.
-2/5, 0, 2/5, 1
Let x(k) = -k**3 - 8*k**2 - 2*k + 5. Let t(p) = p**3 + 7*p**2 + 2*p - 4. Let m(o) = 5*t(o) + 4*x(o). Factor m(q).
q*(q + 1)*(q + 2)
Let 0*x + 0 + 2/9*x**3 + 2/9*x**2 = 0. What is x?
-1, 0
Let l(j) = j. Let d(r) be the third derivative of 2*r**5/15 + 5*r**4/24 + r**3/3 - r**2. Let z(f) = d(f) + 5*l(f). What is b in z(b) = 0?
-1, -1/4
Let u(g) be the second derivative of -g**8/168 + g**6/20 + g**5/15 + 2*g**2 + 9*g. Let r(t) be the first derivative of u(t). Factor r(p).
-2*p**2*(p - 2)*(p + 1)**2
Let c(g) be the third derivative of g**8/840 - 2*g**7/525 + g**5/75 - g**4/60 + 8*g**2. Solve c(s) = 0 for s.
-1, 0, 1
Factor -2/3*s**3 - 2/3*s**2 + 8/3*s + 8/3.
-2*(s - 2)*(s + 1)*(s + 2)/3
Let p(f) be the third derivative of -2/165*f**5 + f**2 + 0 + 1/33*f**3 + 0*f - 1/44*f**4. Find w, given that p(w) = 0.
-1, 1/4
Let i be (-92)/(-80) - (-4)/(-10). Let c = 5 - 3. Factor 9/4*f**c + 0 + 1/2*f + 11/4*f**4 + 15/4*f**3 + i*f**5.
f*(f + 1)**3*(3*f + 2)/4
Factor 7*d**4 - 3*d**4 - 1 + 21*d**3 + 9*d**2 + d - 10*d**3.
(d + 1)**3*(4*d - 1)
Let u(w) = 5*w - 6*w + 4 - w**2 + 10 - 10*w. Let j be u(-12). Factor 0*x**j + 0*x - 2/11*x**3 + 0.
-2*x**3/11
Let t(n) = -3*n**3 - n**2 + 6*n - 4. Let m(l) = -3*l**3 - 2*l**2 + 6*l - 5. Let g be 5/(-1)*(8 - 7). Let u(b) = g*t(b) + 4*m(b). Factor u(k).
3*k*(k - 2)*(k + 1)
Let r(w) = -w + 7. Let z be r(2). Suppose 3*b - 3 = -2*d + 5*d, z*b - 21 = -3*d. Let 15/2*n**3 