*(v - 1)*(9*v + 2)/4
Let n = 4 + -2. What is y in n*y + 0*y**2 - 2*y**2 + 3*y - 7*y = 0?
-1, 0
Let s(v) be the second derivative of v**4/8 - 3*v**2/4 + 21*v. Determine w, given that s(w) = 0.
-1, 1
Let q(s) be the second derivative of -s**4/4 - s**3 + 7*s + 3. Solve q(l) = 0 for l.
-2, 0
Suppose 3*m + 4 = 5*m. Factor 18/5*r + 4/5 + 2*r**3 + 24/5*r**m.
2*(r + 1)**2*(5*r + 2)/5
Let f be 9/27 + (-3)/10. Let z(w) be the second derivative of w + 2/3*w**3 + 2/3*w**4 + 0 + f*w**6 + 1/4*w**5 + 0*w**2. Factor z(a).
a*(a + 1)*(a + 2)**2
Let z(n) = -2*n**3 + 3*n**2 + 2*n + 2. Let w(s) = 2*s**3 - 3*s**2 - 2*s - 3. Let d(a) = 2*w(a) + 3*z(a). Factor d(r).
-r*(r - 2)*(2*r + 1)
Let n(z) be the second derivative of -z**5/20 + z**3/2 + z**2 - z. Let q(c) be the first derivative of n(c). Factor q(v).
-3*(v - 1)*(v + 1)
Let v(y) = 14*y**3 - 14*y - 12. Let l(z) = -z**3 + z + 1. Let w(c) = -12*l(c) - v(c). Determine s so that w(s) = 0.
-1, 0, 1
Suppose -2*f - 2*l + 0 = 2, 4*l = f - 19. Suppose -2*x + 3*x = 5*c - 10, -f*c = 2*x - 6. Factor x*q + 1/4*q**2 - 1/4*q**3 + 0.
-q**2*(q - 1)/4
Let m(f) be the second derivative of f**7/70 + 2*f**6/25 + 9*f**5/50 + f**4/5 + f**3/10 + 10*f. Factor m(d).
3*d*(d + 1)**4/5
Let n(g) be the first derivative of -g**5/15 + 2*g**3/3 - 5*g**2/2 - 5. Let m(q) be the second derivative of n(q). Factor m(k).
-4*(k - 1)*(k + 1)
Let u(t) be the second derivative of t**5/10 + t**4/3 + 2*t. Factor u(z).
2*z**2*(z + 2)
Suppose -3*w - v = 20, 0 = -3*w - 2*w + v - 20. Let q be (-21)/w + 4/(-20). Factor -3*t + q*t**2 + 3*t - 2*t**4 - 2.
-2*(t - 1)**2*(t + 1)**2
Let j(g) be the third derivative of 1/120*g**5 + 0*g - 1/12*g**3 - 9*g**2 - 1/720*g**6 + 1/144*g**4 + 0. Find f such that j(f) = 0.
-1, 1, 3
Let i(r) be the second derivative of -r**8/26880 + r**4/4 + r. Let h(o) be the third derivative of i(o). Factor h(b).
-b**3/4
Let p = 2638/1547 + 2/221. Find m such that 0 - p*m**3 + 8/7*m**4 - 2/7*m - 2/7*m**5 + 8/7*m**2 = 0.
0, 1
Let b(d) be the second derivative of -2*d**7/63 - d**6/9 - d**5/10 + d**4/18 + d**3/9 - 7*d. Factor b(x).
-2*x*(x + 1)**3*(2*x - 1)/3
Let h(m) be the third derivative of 0*m**3 + 1/132*m**4 + 0 + 6*m**2 + 0*m + 1/330*m**5. Determine i, given that h(i) = 0.
-1, 0
Let x be -1*(-2)/(-4)*20. Let j = x - -10. Let 0*g + j - 2/3*g**4 + 2/3*g**2 - 2/3*g**5 + 2/3*g**3 = 0. What is g?
-1, 0, 1
Suppose 2/3*k**3 + 2*k - 2/3 - 2*k**2 = 0. Calculate k.
1
Let w(u) = 4*u**3 + 29*u**2 + 36*u - 5. Let c(s) = -4*s**3 - 28*s**2 - 36*s + 4. Let j(p) = -5*c(p) - 4*w(p). Factor j(b).
4*b*(b + 3)**2
Let a be 30/4*(-12)/15. Let m = 8 + a. Factor 3*b**4 - 6*b**4 - 3*b - 2 + 2 - 9*b**3 - 9*b**m.
-3*b*(b + 1)**3
Let d(l) be the first derivative of -l**5/70 - l**4/14 - l**3/7 - l**2/7 + 4*l + 1. Let n(m) be the first derivative of d(m). Let n(x) = 0. What is x?
-1
Let f(h) = -h**3 + 6*h**2 + 1. Let z be f(7). Let o be z/42*(-14)/4. Suppose 0*d**3 + 1/3*d - 1/3*d**5 + 2/3*d**2 + 0 - 2/3*d**o = 0. Calculate d.
-1, 0, 1
Let s(t) = -5*t**4 + 4*t**3 + 25*t**2 + 6*t - 6. Let l(m) = m**4 + m**3 - m + 1. Let y(v) = -30*l(v) - 5*s(v). Find p, given that y(p) = 0.
-5, 0
Let h(p) be the second derivative of 5*p + 1/100*p**5 + 1/15*p**3 + 0 + 0*p**2 - 1/20*p**4. Find i, given that h(i) = 0.
0, 1, 2
Factor -22 - 3*y**3 + 37 - 15 + 3*y**4.
3*y**3*(y - 1)
Let r(m) = -4*m**3 + 4*m**2 + 10*m + 7. Let w(o) = 5*o**3 - 4*o**2 - 11*o - 8. Let a(j) = -6*r(j) - 5*w(j). Factor a(q).
-(q + 1)**2*(q + 2)
Suppose j + 4*j = 110. Suppose 0 = 5*v + 4*o + 2 - j, -v + 10 = 2*o. Determine p, given that 0*p**2 + 1/2*p**4 + 0*p + v + 1/2*p**3 = 0.
-1, 0
Factor -12*n**3 - n**5 - 6*n**4 + 140*n**2 - 70*n**2 - 3*n - 80*n**2.
-n*(n + 1)**3*(n + 3)
Let d(u) be the third derivative of u**8/10080 + u**7/1260 - u**5/30 - 4*u**2. Let s(h) be the third derivative of d(h). Factor s(r).
2*r*(r + 2)
Let b(x) be the first derivative of -2*x**3/27 - 2*x**2/9 - 5. Let b(r) = 0. What is r?
-2, 0
Let l = -302 - -1819/6. Find i, given that 1/6*i**2 - 4/3*i + 1/6*i**5 + 2/3 + l*i**3 - 5/6*i**4 = 0.
-1, 1, 2
Let y be (-3)/45 - (-6)/36. Let l(r) be the first derivative of 1/12*r**6 + 1 + 0*r + 0*r**3 + 0*r**4 + y*r**5 + 0*r**2. Solve l(j) = 0 for j.
-1, 0
Suppose 5*n - 4*n = 0. Suppose n = t - 4*t + 12. Find g such that -2*g**2 + t - g + g + 0*g - 2*g = 0.
-2, 1
Suppose 4*k = t + 14, 6*t + 7 = -3*k + 31. Let -12*d**t - 8*d**3 + 15/2*d - 1 = 0. What is d?
-2, 1/4
Let j(k) be the third derivative of -1/33*k**4 + 0*k + 7*k**2 - 4/33*k**3 - 1/330*k**5 + 0. Factor j(q).
-2*(q + 2)**2/11
Let c(i) = -i**3 - 8*i**2 - 9*i - 10. Let j be c(-7). Let t be (1*2)/(2/j). Find z such that 2*z**5 + 3*z**2 + z**t - 2*z**3 - 4*z**2 + 0*z**3 = 0.
-1, -1/2, 0, 1
Let x(w) be the third derivative of w**7/168 + 5*w**6/12 + 25*w**5/2 + 625*w**4/3 + 6250*w**3/3 - 15*w**2. Let x(c) = 0. Calculate c.
-10
Let l(a) be the second derivative of a**5/10 - 5*a**4/6 - 2*a**3 - 21*a. Let l(g) = 0. What is g?
-1, 0, 6
Let r(f) be the first derivative of 6/5*f**5 + 2*f + 1 - 8/15*f**6 - f**4 + 0*f**2 + 1/3*f**3. Let a(d) be the first derivative of r(d). What is o in a(o) = 0?
0, 1/2
Suppose -8*f**3 - 80*f - 23 + 44*f**2 + 44 + 27 = 0. Calculate f.
3/2, 2
Let z = -61 - -187/3. Suppose 2/3*h**5 + z*h**4 + 0*h + 2/3*h**3 + 0*h**2 + 0 = 0. Calculate h.
-1, 0
Let f(l) be the third derivative of 2*l**2 - 1/20*l**5 + 0*l - 1/4*l**3 + 0 - 9/32*l**4. Determine o, given that f(o) = 0.
-2, -1/4
Let u be (-204)/168 + 6/4. Factor u*l**4 + 0*l**2 + 0 + 4/7*l**3 + 0*l.
2*l**3*(l + 2)/7
Let d(s) = 85*s**2 + 155*s - 215. Let i(f) = -7*f**2 - 13*f + 18. Let m(p) = -2*d(p) - 25*i(p). Factor m(n).
5*(n - 1)*(n + 4)
Let i(k) be the first derivative of k**5/30 - k**4/6 + k**3/3 + k**2 + 2. Let g(t) be the second derivative of i(t). Factor g(l).
2*(l - 1)**2
Let i be (-1 - 9/(-12))*(-24)/27. Let v be 2 - (-3)/(6/(-4)). Factor v + i*z**2 - 2/9*z.
2*z*(z - 1)/9
Let d(m) be the first derivative of 0*m**2 - 3 + 0*m - 1/27*m**6 + 0*m**5 - 4/27*m**3 + 1/6*m**4. Suppose d(f) = 0. Calculate f.
-2, 0, 1
Suppose -4*a = -1 - 15. Factor 3*c + c + a - 8*c + c**2.
(c - 2)**2
Let r = -104 - -104. Suppose 8/3*s**4 + r + 0*s + 2/3*s**3 + 0*s**2 = 0. Calculate s.
-1/4, 0
Factor -4/3*q**2 - 4/3 + 8/3*q.
-4*(q - 1)**2/3
Let b(m) = -m**2 - 6*m + 4. Let p be b(-7). Let r = 1 - p. Factor 4/7*n**3 - 4/7*n - 2/7*n**r + 0*n**2 + 2/7.
-2*(n - 1)**3*(n + 1)/7
Let s = 4/115 - -42/115. Let l(i) be the first derivative of 0*i**4 + 2*i**2 + 2*i**3 - 2 - s*i**5 + 0*i. Suppose l(g) = 0. What is g?
-1, 0, 2
Let v = -7 - -9. What is l in -2*l**v + 4*l**2 - 5*l**2 + 2*l**2 = 0?
0
Let c(f) = f**5 + f**3 - f**2 - f - 1. Let l(j) = -6*j**5 + 6*j**4 - 3*j**3 - 3*j**2 + 6*j + 3. Let s(n) = 3*c(n) + l(n). Factor s(i).
-3*i*(i - 1)**3*(i + 1)
Let t(a) be the third derivative of a**8/1680 + 2*a**7/525 + a**6/150 - a**5/150 - a**4/24 - a**3/15 - 53*a**2. Factor t(l).
(l - 1)*(l + 1)**3*(l + 2)/5
Let g = 409696/9 + -45635. Let b = -113 - g. Find a, given that 2/9*a**3 - 2/9*a**4 + 0 + 2/9*a**2 - b*a = 0.
-1, 0, 1
Suppose 2*a**4 + 2/3*a - 10/3*a**3 + 0 - 2*a**2 + 8/3*a**5 = 0. What is a?
-1, 0, 1/4, 1
Let b = -724 - -152041/210. Let t(v) be the third derivative of 1/20*v**5 + 0*v + 0*v**6 - 1/12*v**4 + 0*v**3 + 2*v**2 + 0 - b*v**7. Factor t(w).
-w*(w - 1)**2*(w + 2)
Let u(o) be the first derivative of -6*o**5/5 + 11*o**4/2 - 10*o**3 + 9*o**2 - 4*o - 7. What is r in u(r) = 0?
2/3, 1
Let z(o) be the second derivative of -o**7/1050 + o**5/300 + o**2 - 3*o. Let n(s) be the first derivative of z(s). Determine k so that n(k) = 0.
-1, 0, 1
Let n(y) be the second derivative of y**10/60480 - y**8/6720 + y**6/1440 + y**4/4 + 2*y. Let v(i) be the third derivative of n(i). Solve v(g) = 0 for g.
-1, 0, 1
Determine f so that 0 - 2/7*f**2 + 0*f = 0.
0
Factor 48/5*i**2 - 64/5*i - 16/5*i**3 + 32/5 + 2/5*i**4.
2*(i - 2)**4/5
Let o(x) be the first derivative of x**3/3 + x**2/2 - 5. Solve o(l) = 0 for l.
-1, 0
Factor -4/9*x - 2/9*x**3 + 2/3*x**2 + 0.
-2*x*(x - 2)*(x - 1)/9
Let t be (-15)/(-9) + (-1)/(-3). Suppose -2*m + 2 = -6. Factor -m*c + 4*c - 2*c**t.
-2*c**2
Let x be 0 + -3 + (5 - 2)*1. Factor x + 2/3*o**4 + 2/3*o**3 - 2/3*o - 2/3*o**2.
2*o*(o - 1)*(o + 1)**2/3
Let a(u) be the first derivative of -u**3/21 + 3*u**2/14 + 3. Fa