 + 0*f = 0. What is f?
0
Let o = -715 + 717. Factor -6/5*u**o + 3/5*u**3 - 3/5*u + 6/5.
3*(u - 2)*(u - 1)*(u + 1)/5
Let j be 7 + -5 + 1*2. Let d(y) be the first derivative of -2/21*y**3 + 0*y - 3 - 1/21*y**6 - 3/14*y**j + 0*y**2 - 6/35*y**5. Factor d(s).
-2*s**2*(s + 1)**3/7
Let u be (29*1)/(4/564). Let j = u - 36751/9. Let j*t**3 + 16/9*t**4 + 2/9*t**5 + 16/9 + 56/9*t + 76/9*t**2 = 0. What is t?
-2, -1
Let h(z) be the first derivative of -z**4/4 - 2*z**3/3 + z**2/2 + 2*z - 7. Solve h(f) = 0 for f.
-2, -1, 1
Factor 0*n**2 + 1/2*n**5 + 0 + 0*n + 0*n**3 + 3/2*n**4.
n**4*(n + 3)/2
Let j(o) be the third derivative of 1/120*o**4 + 0 - 1/120*o**6 + 0*o**3 + 1/300*o**5 + 0*o + 1/350*o**7 + 3*o**2. Factor j(k).
k*(k - 1)**2*(3*k + 1)/5
Let c(v) be the second derivative of -v**6/15 - 3*v**5/10 - v**4/6 + v**3 + 2*v**2 + 19*v. Factor c(m).
-2*(m - 1)*(m + 1)**2*(m + 2)
Let y(d) be the first derivative of -d**4/48 + d**3/6 - d**2/2 - 3*d - 3. Let u(s) be the first derivative of y(s). Suppose u(f) = 0. Calculate f.
2
Suppose x = 2*o - 9, -2 + 18 = 3*o - 4*x. Factor 2*j - 3*j**4 + 0*j**4 - 2*j**5 + 4*j**o + 3*j**4 - 4*j**2.
-2*j*(j - 1)**3*(j + 1)
Let u(i) = -5*i**4 - 6*i**2 + 6. Let p(w) = -w**2 + 1. Let k(y) = 6*p(y) - u(y). Find j such that k(j) = 0.
0
Let t = 2299/8 - 287. Let d(b) be the first derivative of 0*b + 3 + 3/16*b**4 - 1/2*b**3 + t*b**2. Determine h, given that d(h) = 0.
0, 1
Let a(w) = w**3 + 6*w**2 - 3. Let i be a(-6). Let g be 18/3 + i + 1. Solve -3 - 3*n**3 + g*n**2 + 9*n**3 - 7*n - 1 + n = 0 for n.
-1, -2/3, 1
Suppose 5*z = -2*r + 1 - 7, 3 = 5*z - r. Let v(q) = -q**3 + 6*q**2 + 4. Let a be v(6). Factor u**2 + 3*u**2 + 2*u**5 - a*u**4 + z*u**2 + 0*u**2 - 2*u.
2*u*(u - 1)**3*(u + 1)
Let 4*u + u**2 + 3*u - 7*u = 0. Calculate u.
0
Let z = -1989 - -358021/180. Let j(p) be the third derivative of 0 + 0*p + 0*p**3 + 0*p**4 - 1/360*p**6 - 2*p**2 - z*p**5. Factor j(l).
-l**2*(l + 1)/3
Let j(u) be the third derivative of -1/15*u**5 - 2/21*u**8 - 4*u**2 + 0 + 0*u**3 - 8/35*u**7 + 0*u**4 + 0*u - 1/5*u**6. Determine y, given that j(y) = 0.
-1/2, 0
Let h(s) = s**4 + s. Let d(t) = -4*t**2 - 4*t. Let l(y) = d(y) + 4*h(y). Factor l(o).
4*o**2*(o - 1)*(o + 1)
Let x be 3/((-27)/(-2)*1). Factor 0 + 0*l**2 - x*l**3 - 2/9*l**4 + 0*l.
-2*l**3*(l + 1)/9
Let t(z) be the second derivative of -z**4/16 + z**3/8 + 53*z. Factor t(y).
-3*y*(y - 1)/4
Let b = -55 - -57. Let w(i) be the first derivative of -2/21*i**3 - 1/7*i**4 + 1 + 0*i + 1/7*i**b. What is t in w(t) = 0?
-1, 0, 1/2
Let m be 5/(-2)*(-51)/170. Let 1/4*y**4 - 1/2 - m*y**3 + 3/4*y + 1/4*y**2 = 0. Calculate y.
-1, 1, 2
Let d = -15 + 12. Let i be (5 + -1 - 4)/d. Let -1/2 + 1/2*l**2 + i*l = 0. What is l?
-1, 1
Let r(j) be the first derivative of 5/2*j**4 + 2 - 3/2*j**5 - 5/3*j**3 + 0*j**2 + 1/2*j + 1/3*j**6. Factor r(d).
(d - 1)**4*(4*d + 1)/2
Find u such that 4/11*u**2 + 0 + 0*u + 2/11*u**3 = 0.
-2, 0
Find c such that 0*c + 1/7*c**2 + 0 = 0.
0
Let p(x) be the third derivative of 5*x**8/336 - x**7/21 - x**6/12 + 2*x**5/3 - 35*x**4/24 + 5*x**3/3 - 15*x**2. Factor p(a).
5*(a - 1)**4*(a + 2)
Let b(h) be the second derivative of -h**4/48 - 5*h**3/24 - h**2/2 - 18*h. Factor b(q).
-(q + 1)*(q + 4)/4
Let a(m) be the first derivative of 3*m**5/40 + m**4/8 + 3*m - 7. Let z(l) be the first derivative of a(l). Factor z(x).
3*x**2*(x + 1)/2
Let l = -21 - -6. Let a be (-3)/5*10/l. Factor 2/5*r**3 + a*r**2 + 0 + 0*r.
2*r**2*(r + 1)/5
Let i(k) = k**3 - 6*k**2 - k - 8. Let n be i(6). Let m = 29/2 + n. Solve 1/2*s + 0*s**2 + 0 + m*s**5 + 0*s**4 - s**3 = 0 for s.
-1, 0, 1
Suppose -3*b + l + 106 = 28, b - 4*l = 37. Let a = b - 123/5. Let -a*p - 4/5*p**2 + 0 - 2/5*p**3 = 0. Calculate p.
-1, 0
Let n(m) be the first derivative of -m**5/35 - m**4/7 + 5*m**3/21 - 19. Determine t, given that n(t) = 0.
-5, 0, 1
Let i = 2 + 0. Let y be (-2)/(-4)*2 + -1. Factor -3*u + u + y*u**i - 2*u**2 + 4*u**2.
2*u*(u - 1)
Let c be (16/(-56))/(10/(-28)). What is f in -f**3 - 3/5*f**4 + 4/5*f**2 + 0 + c*f = 0?
-2, -2/3, 0, 1
Let n(v) be the first derivative of -4*v**3/3 - 20*v**2 - 100*v - 11. Factor n(z).
-4*(z + 5)**2
Let c be 13/((-507)/144) + 4. Let m(r) be the first derivative of 1/13*r**2 - 3/26*r**4 - c*r - 4 + 8/39*r**3. Factor m(l).
-2*(l - 1)**2*(3*l + 2)/13
Suppose 35*j + 9 = 38*j. Let l(c) be the second derivative of 1/48*c**4 + 1/12*c**j + 1/24*c**6 - 4*c + 0*c**2 - 1/10*c**5 + 0. Factor l(g).
g*(g - 1)**2*(5*g + 2)/4
Suppose 2 = -0*g - 5*g - 3*d, -3*d - 6 = 3*g. Find b such that 1/5 + 2*b + 5*b**g = 0.
-1/5
Let u(w) = w**3 + 10*w**2 - 12*w - 11. Let k be u(-11). Let x(b) be the first derivative of -1/2*b**2 - 1/5*b**5 + k*b + 1/3*b**3 - 1 + 1/4*b**4. Factor x(h).
-h*(h - 1)**2*(h + 1)
Let d = -9 + 8. Let q be (4/70)/(d/(-5)). Solve -2/7 + q*o**2 + 6/7*o**3 - 6/7*o = 0 for o.
-1, -1/3, 1
Let i(c) be the third derivative of c**8/1680 - c**7/350 + c**6/600 + c**5/100 - c**4/60 + 7*c**2. Factor i(n).
n*(n - 2)*(n - 1)**2*(n + 1)/5
Let b(g) = 2*g**2 + 3*g. Let k(v) = -10*v**2 - 16*v. Let w(c) = -16*b(c) - 3*k(c). Determine j so that w(j) = 0.
0
Let u(o) be the second derivative of -o**6/480 + o**5/96 - o**4/48 + 2*o**3/3 + 5*o. Let f(j) be the second derivative of u(j). Suppose f(n) = 0. Calculate n.
2/3, 1
Let p be (-4)/(8/(-10)) - 2. Let i = -7/3 + p. Factor -i*h + 0 + 2/3*h**3 - 2/3*h**2 + 2/3*h**4.
2*h*(h - 1)*(h + 1)**2/3
What is r in -49 - 1/9*r**2 - 14/3*r = 0?
-21
Let r = 6 + -4. Factor 0 + 0 + b + 3*b + 2 + 2*b**r.
2*(b + 1)**2
Let l(v) be the second derivative of -v**4/48 + v**3/12 - v**2/8 - 5*v. Find d such that l(d) = 0.
1
Solve 4/3*p + 16/3*p**2 - 4 = 0 for p.
-1, 3/4
Factor 6*n - 120 - 5 - 5*n**2 - 56*n.
-5*(n + 5)**2
Suppose -3*i + m + 2 = 0, -5*m = -4*i - i - 10. Suppose -5*y + g + 17 = 0, -2*y - 3*y + 11 = i*g. Factor -y*k**2 + 5*k**2 - 4*k**2 - 4*k.
-2*k*(k + 2)
Let b = -83 - -85. Let w(p) be the second derivative of -1/9*p**3 - 1/54*p**4 - 2/9*p**b + 2*p + 0. Find l such that w(l) = 0.
-2, -1
Let b(x) be the third derivative of 0 + 1/24*x**4 - 1/720*x**6 - 1/2*x**3 - 1/240*x**5 - 2*x**2 + 0*x. Let t(p) be the first derivative of b(p). Factor t(r).
-(r - 1)*(r + 2)/2
Let u = 25 + -43. Let g = u + 23. Let -21/4*x**g - x + 25/4*x**3 + 0 - 2*x**2 + 2*x**4 = 0. Calculate x.
-1, -2/7, 0, 2/3, 1
Let l(m) be the second derivative of 0*m**3 - 10*m + 0 - 1/10*m**6 + 0*m**2 - 9/20*m**5 - 1/2*m**4. Let l(r) = 0. Calculate r.
-2, -1, 0
Let j(g) be the second derivative of g**6/135 + 2*g**5/45 + 5*g**4/54 + 2*g**3/27 - 16*g. Let j(h) = 0. Calculate h.
-2, -1, 0
Let l(s) be the second derivative of 4*s**7/147 + s**6/15 - 3*s**5/35 - s**4/6 + 2*s**3/21 + 3*s. Suppose l(w) = 0. What is w?
-2, -1, 0, 1/4, 1
Let w(n) = 5*n**4 - 5*n + 5. Let y(h) = h**5 - h**4 - h**3 + h - 1. Let p(j) = w(j) + 5*y(j). Find a such that p(a) = 0.
-1, 0, 1
Suppose 7*s - 25 = 2*s. Let x(r) be the third derivative of -1/15*r**s + 1/105*r**7 + 0*r + 3*r**2 + 0*r**6 + 0*r**4 + 1/3*r**3 + 0. What is q in x(q) = 0?
-1, 1
Let p(v) = 7*v**3 - 45*v**2 + 122*v - 82. Let a(n) = 15*n**3 - 90*n**2 + 245*n - 165. Let d(l) = -2*a(l) + 5*p(l). Let d(o) = 0. Calculate o.
1, 4
Let c be ((-4)/462)/(6/(-9)). Let q = 157/231 - c. Suppose 2/3*s + 0 + 2*s**3 - 2*s**2 - q*s**4 = 0. Calculate s.
0, 1
Let h be ((-30)/12)/((-20)/16). Factor 4/7*q + 0 - 2/7*q**h.
-2*q*(q - 2)/7
Let j be (-45)/480*8/(-6)*6. Factor 2*w - 1 - j*w**2.
-(w - 2)*(3*w - 2)/4
Suppose 4 = q + 1. Suppose -o + 32 = q*o. Find c such that -2*c**2 - 2*c**5 - 6*c**2 - 2*c - 12*c**3 + 0*c - o*c**4 = 0.
-1, 0
Let g be 0/(-1)*(-1)/(-2). Suppose g = m - 6 + 3. Factor -8*n**3 - m*n**4 - 4*n**2 + 0*n**4 + n**4 + 2*n**3.
-2*n**2*(n + 1)*(n + 2)
Let u(b) be the second derivative of b**10/15120 + b**9/3780 - b**4/3 + b. Let f(s) be the third derivative of u(s). Find v, given that f(v) = 0.
-2, 0
Suppose 3*c**2 + c**2 - 4*c + 4*c = 0. Calculate c.
0
Let c(o) be the first derivative of o**6/1440 - o**5/80 + 3*o**4/32 + 8*o**3/3 - 9. Let s(r) be the third derivative of c(r). Factor s(q).
(q - 3)**2/4
Let s = -110 - -110. Let -1/4*h**2 + 1/4 + s*h = 0. What is h?
-1, 1
Let z(t) = 2*t**3 + 8*t**2 - 2*t. Let f(r) = -2*r**3 - 7*r**2 + r. Let w(p) = 4*f(p) + 3*z(p). Find a, given that w(a) = 0.
-1, 0
Let q(u) = u**4 - u**3 + u**2 - 