-1/3*i**3 + t*i**4 - 1/10*i**5 + 0*i**2 + 3*i + 0. Factor x(s).
-2*s*(s - 1)**2
Let j(d) = 4*d**2 + 9*d - 4. Let l = 9 - 4. Let v(g) = g**2 + g. Let m(s) = l*v(s) - j(s). Solve m(z) = 0.
2
Let y(c) be the third derivative of -c**5/105 - c**4/42 - 28*c**2. Factor y(d).
-4*d*(d + 1)/7
Let a(m) be the third derivative of -m**6/30 + m**5 - 25*m**4/2 + 250*m**3/3 - 17*m**2. Solve a(v) = 0 for v.
5
Let w(z) = 4*z**2 - 15*z - 13. Let o(t) = -2*t**2 + 8*t + 6. Let g(b) = -11*o(b) - 6*w(b). Factor g(f).
-2*(f - 3)*(f + 2)
Let d(f) = f**4 - 2*f**3 + 7*f**2 - 5*f + 5. Let s(z) = -z**3 + z**2 - z + 1. Let x(n) = d(n) - 5*s(n). Suppose x(g) = 0. Calculate g.
-2, -1, 0
Let h(l) = 9*l**2 + 11*l + 4. Let t(c) = 46*c**2 + 56*c + 21. Let k(r) = 22*h(r) - 4*t(r). Factor k(f).
2*(f + 1)*(7*f + 2)
Let p be 11 - -3*(-8)/(-6). Let i be (-18)/(-8)*20/p. Suppose 2/7*c**i + 0 + 0*c - 2/7*c**2 = 0. Calculate c.
0, 1
Let b(z) be the second derivative of z**6/6 + z**5 + 5*z**4/4 - 10*z**3/3 - 10*z**2 - z - 37. Solve b(d) = 0 for d.
-2, -1, 1
Suppose -5*l - c - 3*c + 27 = 0, -2*c - 6 = -4*l. Suppose 5*i = 5, 0 = -d + 4*i - 5 + l. Factor 2/7 - 4/7*m + 2/7*m**d.
2*(m - 1)**2/7
Let n(y) = 21 - 7*y**2 - 7*y**3 - 14 + 2*y + y. Let d(c) = -13*c**3 - 13*c**2 + 6*c + 13. Let z(a) = 4*d(a) - 7*n(a). Factor z(f).
-3*(f - 1)*(f + 1)**2
Let h(q) be the second derivative of -q**5/90 + q**4/54 + 2*q**3/27 + 11*q. Find c such that h(c) = 0.
-1, 0, 2
Suppose -5*w = -3*d - 25, d + w - 4 = 1. Suppose -2*n + q = -3, 0 = -d*n + n + 2*q - 4. Factor 1 + 0 + 2*g**n + 1 - 4*g.
2*(g - 1)**2
Find g such that 0 - 1/2*g - 1/2*g**4 + 1/2*g**3 + 1/2*g**2 = 0.
-1, 0, 1
Let h(k) be the third derivative of -k**9/15120 - k**8/10080 + k**7/2520 + k**5/10 + 7*k**2. Let s(o) be the third derivative of h(o). Factor s(w).
-2*w*(w + 1)*(2*w - 1)
Let v(m) be the first derivative of -5*m**4/2 - 22*m**3/3 - 4*m**2 - 2*m + 5. Let r(x) = x**2 + x + 1. Let w(z) = 6*r(z) + v(z). Factor w(a).
-2*(a + 1)**2*(5*a - 2)
Suppose -39 = -14*h + 17. Factor 0*o + 0 + 2/3*o**3 - 2/3*o**5 + 2/3*o**2 - 2/3*o**h.
-2*o**2*(o - 1)*(o + 1)**2/3
Let p be -2 - (3 + (-81)/15). Determine i so that 8/5 + 8/5*i + p*i**2 = 0.
-2
Let o(i) be the first derivative of -i**6/180 - i**5/20 - i**4/6 + 3*i**3 - 5. Let v(a) be the third derivative of o(a). Suppose v(k) = 0. Calculate k.
-2, -1
Let z be -1*(-3 - -3 - -3). Let j(h) = -12*h**4 + 11*h**3 + 9*h**2 + 8. Let g(o) = -o**4 + o**3 + o**2 + 1. Let u(y) = z*j(y) + 24*g(y). Factor u(b).
3*b**2*(b - 1)*(4*b + 1)
Let -2/9 - 4/9*t**2 + 2/9*t**5 - 2/3*t + 4/9*t**3 + 2/3*t**4 = 0. What is t?
-1, 1
Let l(t) be the second derivative of t**6/120 - 3*t**5/40 + t**4/4 + t**3/2 - t. Let d(r) be the second derivative of l(r). Factor d(w).
3*(w - 2)*(w - 1)
Let k(y) be the third derivative of y**9/30240 + y**8/3360 + y**5/20 + 6*y**2. Let s(i) be the third derivative of k(i). Solve s(j) = 0.
-3, 0
Let l(y) = 2*y**3 + 3*y**2 + 4*y + 3. Let v be l(-1). What is o in 0*o + v - 2/5*o**2 = 0?
0
Let k = 493/3 - 163. Suppose k + 1/3*s**2 + 4/3*s = 0. What is s?
-2
Let l(z) be the second derivative of z**6/60 - z**5/40 - z**4/24 + z**3/12 - 2*z. Factor l(g).
g*(g - 1)**2*(g + 1)/2
Let v(p) be the second derivative of -p**4/60 + p**2/10 + 5*p. Suppose v(s) = 0. Calculate s.
-1, 1
Let q(r) be the third derivative of 1/32*r**4 + 6*r**2 + 0*r**3 + 1/80*r**5 + 0 + 0*r. Factor q(t).
3*t*(t + 1)/4
Let r(p) = 10*p**3 + 20*p**2 - 60*p + 35. Let w(z) = -z**3 + z**2 - z. Let s(l) = r(l) + 5*w(l). Factor s(q).
5*(q - 1)**2*(q + 7)
Factor -5/4*v**2 + 3/2 + 13/4*v.
-(v - 3)*(5*v + 2)/4
Suppose o + 4 = -1, 0 = -2*b + 4*o + 20. Factor 0 + 3/5*x**3 + b*x - 3/5*x**2.
3*x**2*(x - 1)/5
Let g(k) be the second derivative of k**5/30 + k**4/9 + 7*k. Factor g(u).
2*u**2*(u + 2)/3
Let s = 207548/45 + -4612. Let o = 124/315 + s. Factor 2/7*k**3 + o*k + 0 - 6/7*k**2.
2*k*(k - 2)*(k - 1)/7
Let t be -15*-1*3/9. Suppose t*f - 3*s + 4 = 0, -s + 4 - 5 = -4*f. Factor g**2 + g**2 - f + 2*g - 5*g - 4*g**2.
-(g + 1)*(2*g + 1)
Let o(k) = -k**2 + 6*k + 6. Let f be o(6). Suppose p - f = -2*p. What is z in -3*z**2 - z**4 - 1 + z + z**5 + 3*z**p - 2*z**3 + 2*z**2 = 0?
-1, 1
Let v(k) be the first derivative of -k**5/10 - 7*k**4/32 + k**3/12 - 9. Factor v(u).
-u**2*(u + 2)*(4*u - 1)/8
Let u(t) be the second derivative of -t**6/900 + t**5/300 - 2*t**3/3 - 3*t. Let f(v) be the second derivative of u(v). Factor f(l).
-2*l*(l - 1)/5
Let q be 288/40 + (-2)/10. Factor -q*i - 5*i**2 + 3*i**2 + 3*i.
-2*i*(i + 2)
Suppose -2*u + 10 = 5*i, 2*u = 2*i - 3*u - 4. Let v(j) = -j + 7. Let y be v(5). Factor p**i - 4*p**4 + 3*p**2 - 40 + y*p - 2*p**5 + 40.
-2*p*(p - 1)*(p + 1)**3
Let s(y) be the second derivative of y**6/36 + 5*y**5/24 + 5*y**4/9 + 5*y**3/9 - 5*y. Factor s(w).
5*w*(w + 1)*(w + 2)**2/6
Let l(s) be the second derivative of 1/18*s**3 + 0*s**2 - 1/36*s**4 + 0 + 3*s. Factor l(r).
-r*(r - 1)/3
Suppose 2*z + 10 = 60. Let i be -1*1*(-10)/z. Factor 0 + 0*y - i*y**2.
-2*y**2/5
Suppose 1/2*p**4 + 13/2*p**2 - 25 + 9/2*p**3 - 45/2*p = 0. What is p?
-5, -1, 2
Let d(w) be the second derivative of w**5/8 + 5*w**4/8 - 5*w**3/3 - 2*w + 1. Let d(y) = 0. Calculate y.
-4, 0, 1
Let y(k) be the second derivative of k**5/100 - k**4/60 + 2*k. Find a such that y(a) = 0.
0, 1
Let m(o) be the third derivative of o**6/300 - o**5/50 + 16*o**2. Solve m(p) = 0 for p.
0, 3
Let l(z) be the first derivative of -z**4/14 - 2*z**3/21 - 15. Suppose l(n) = 0. Calculate n.
-1, 0
Let y(x) be the first derivative of -18/7*x - 2 - 2/21*x**3 - 6/7*x**2. Let y(j) = 0. What is j?
-3
Let i(u) be the second derivative of u**4/4 - 3*u**2/2 - 5*u. Factor i(c).
3*(c - 1)*(c + 1)
Solve 84*p**4 + 3/2 - 99/4*p**2 + 21/4*p - 66*p**3 = 0 for p.
-1/4, 2/7, 1
Suppose -v + 1 + 4 = 0. Suppose 2*d - d = v. Suppose -d + 6*n**2 - 3*n**3 + 5 = 0. What is n?
0, 2
Determine o so that -2*o**2 + 64*o**3 - 68*o**3 + 4*o - 2*o**2 + 5 - 1 = 0.
-1, 1
Let n(j) be the first derivative of -1/6*j**3 + 1/16*j**2 + 3/32*j**4 + 0*j - 9. Factor n(d).
d*(d - 1)*(3*d - 1)/8
Let j(x) = 48*x**3 + 144*x**2 + 96*x. Let i(f) = -3*f**3 - 9*f**2 - 6*f. Let p(w) = -33*i(w) - 2*j(w). Factor p(g).
3*g*(g + 1)*(g + 2)
Let j be (-2)/(-9) - (-212)/18. Let a be ((-8)/j)/(4/(-6)). Factor -5*r - a + 2*r - r**2 - 1.
-(r + 1)*(r + 2)
Let r(y) be the second derivative of 0*y**2 + 1/30*y**5 + 2*y + 0 + 1/9*y**4 + 0*y**3. Let r(i) = 0. Calculate i.
-2, 0
Suppose -2 = 2*b + 2*x, -b - 3*x - 2*x = 17. Let q(m) = m**3 - 3*m**2 + 3*m - 1. Let r be q(b). Factor 0 + 12*v**3 + 9/2*v**2 + r*v**4 + 1/2*v.
v*(v + 1)*(4*v + 1)**2/2
Let d(k) be the third derivative of k**5/20 + k**4/8 + 37*k**2. What is l in d(l) = 0?
-1, 0
Factor 0*a + 0 + 6/5*a**3 + 0*a**2 + 3/5*a**4.
3*a**3*(a + 2)/5
Let q(n) be the third derivative of -1/420*n**6 + 1/84*n**4 + 0 + 0*n**3 + 4*n**2 + 0*n + 0*n**5. Let q(p) = 0. Calculate p.
-1, 0, 1
Let q(g) = g**2. Let c(l) = 8*l - 4. Let n(y) = c(y) - 4*q(y). Factor n(h).
-4*(h - 1)**2
Let n(u) = -u**2 + 6*u - 6. Let t be n(6). Let l = t - -9. Factor 14*o**3 + o**2 + 5*o**4 - 2*o + o**4 + 2*o**4 + l*o**2.
2*o*(o + 1)**2*(4*o - 1)
Let u = 1174/485 + -2/97. Factor 16/5 - 24/5*r + u*r**2 - 2/5*r**3.
-2*(r - 2)**3/5
Let i(m) = m**2 + 5. Let b be i(0). Let p be (-16)/(-20)*b/6. What is c in -c**3 - p*c**4 + 1/3*c**2 + 1/3 + c = 0?
-1, -1/2, 1
Let u be 2/4*(4 - 4). Let b be (u/1)/3 + 2. Find y, given that 0*y**4 + 0*y**b + 0*y + 0 + 1/3*y**5 - 1/3*y**3 = 0.
-1, 0, 1
Suppose 7*u = 4*u. Let a(q) = -3*q**2 - 9*q + 2. Let n be a(-3). Determine i, given that -i**3 - 3/2*i**n + i + 3/2*i**4 + u = 0.
-1, 0, 2/3, 1
Let m(o) be the first derivative of o**5/20 - o**4/4 + o**3/2 - o**2/2 + 2*o + 3. Let b(v) be the first derivative of m(v). Determine u, given that b(u) = 0.
1
Suppose 2*o + 3*u + 8 = -2*u, -4*o + 3*u - 16 = 0. Let s be 3/(-1 + (-7)/o). Factor s*h - 4*h**3 - 2*h**4 - 7 + 4 + 5.
-2*(h - 1)*(h + 1)**3
Let u = -1524 - -22868/15. Factor -2/5 + u*z**3 + 4/3*z - 22/15*z**2.
2*(z - 1)**2*(4*z - 3)/15
Suppose -5*d + 168 = 148. Suppose 4/5*h**2 + 2/5*h**3 - 6/5*h**d + 0 + 0*h = 0. Calculate h.
-2/3, 0, 1
Find g such that -2*g**5 + 0 - 8*g**2 + 13/2*g**4 - 3/2*g**3 + 2*g = 0.
-1, 0, 1/4, 2
Let i be (1 + 3/(-5))*20/16. Factor i*p**2 - 1/4*p**3 + 1/4*p + 0 - 1/2*p**4.