= 0 for i.
-2, 0
Find t, given that 0 + 5/2*t + 3/2*t**2 = 0.
-5/3, 0
Suppose -8/5*d**3 + 6*d**2 - 6/5 - 16/5*d = 0. Calculate d.
-1/4, 1, 3
Let a = 101 + -56. Let l be 57/a + 9/(-15). Factor 4/9*j**2 + l*j + 2/9.
2*(j + 1)*(2*j + 1)/9
Let z(i) be the second derivative of 2*i**6/5 + 3*i**5/4 - 3*i**4/4 - 5*i**3/2 - 3*i**2/2 - 5*i. Factor z(p).
3*(p - 1)*(p + 1)**2*(4*p + 1)
Let r(s) be the third derivative of s**5/20 - s**4/8 - 26*s**2. Factor r(c).
3*c*(c - 1)
Let t(o) = -2*o**2 - 5*o + 5. Let p be t(-5). Let c be 51/108 - (-5)/p. Factor -c*r**3 + 0 + 2/9*r**2 + 0*r.
-2*r**2*(r - 1)/9
Let v(l) = 0*l**2 - l**2 - 4*l**2 - 5*l + 0*l**2 - 4. Let g(i) = -6*i**2 - 6*i - 5. Let t(n) = 4*g(n) - 5*v(n). Factor t(w).
w*(w + 1)
Factor 3/4*x + 3/4*x**3 + 0 - 3/2*x**2.
3*x*(x - 1)**2/4
Let s(u) = 127*u**2 - 96*u + 29. Let x(d) = -32*d**2 + 24*d - 7. Let q be (-2)/(0 + 4)*-12. Let i(h) = q*s(h) + 26*x(h). Factor i(c).
-2*(5*c - 2)*(7*c - 2)
Let t(c) be the third derivative of -c**7/4200 - c**6/900 - c**5/600 - c**3/3 + 3*c**2. Let g(l) be the first derivative of t(l). Factor g(r).
-r*(r + 1)**2/5
Factor -3*a**2 - 3*a + a**2 + 3*a - 4*a.
-2*a*(a + 2)
Let z(m) = m**2 - m + 1. Let i(a) = a**3 + 7*a**2 - 8*a + 7. Let b(o) = -2*i(o) + 14*z(o). Factor b(s).
-2*s*(s - 1)*(s + 1)
Suppose 29*d - 155 + 39 = 0. Suppose 6 - 30*l**d - 87/2*l**2 - 3*l - 21/4*l**5 - 237/4*l**3 = 0. Calculate l.
-2, -1, 2/7
Let f be 5/((-60)/44) - (-8)/2. Factor 1/6*p**5 + 1/3*p**2 + 0*p**3 - 1/6*p + 0 - f*p**4.
p*(p - 1)**3*(p + 1)/6
Let r be (-1)/(2/(-12)*2). Factor -2*c**r + 3*c**3 - c**2 + c**4 - c**5 + 0*c**3.
-c**2*(c - 1)**2*(c + 1)
Suppose -4*h + 3*d = -3 - 15, -2*h + 5*d + 16 = 0. Determine o, given that 8/3 + 4*o + 2*o**2 + 1/3*o**h = 0.
-2
Let q be -3*(-2)/(-9)*(-36)/44. Factor 2/11*m**4 + 2/11*m**3 - 4/11 - 10/11*m - q*m**2.
2*(m - 2)*(m + 1)**3/11
Suppose -1/2*z**3 - 1/2*z**2 + 1/2*z**4 + 0 + 1/2*z = 0. What is z?
-1, 0, 1
Let l(r) be the first derivative of -r**2/2 - 12*r - 5. Let b be l(-12). Factor 0 + 0*t + 1/2*t**3 + b*t**2.
t**3/2
Suppose 0 = 6*h - h. Suppose 11 = 2*i + 7, t = 4*i - 8. Factor -1/4*u**2 + t + h*u.
-u**2/4
Let z(a) be the second derivative of -a**6/150 - a**5/50 + a**4/20 + 2*a**3/15 - 2*a**2/5 + 13*a. Factor z(i).
-(i - 1)**2*(i + 2)**2/5
Let x(u) = 3*u**2 + 3*u + 6. Let n(t) = -4*t**2 - 3*t - 6. Let k(d) = 6*n(d) + 7*x(d). Factor k(v).
-3*(v - 2)*(v + 1)
Determine b, given that -16/7 - 20/7*b**4 + 12/7*b**5 + 36/7*b**2 - 4*b**3 + 16/7*b = 0.
-1, 2/3, 1, 2
Let z(f) be the second derivative of -f**5/5 - 4*f**4/3 - 8*f**3/3 + 5*f. Solve z(b) = 0.
-2, 0
Suppose 2*m = 3*m - 6. Let y be 3/((-12)/(-16)*m). What is o in -y*o**2 + o - 1/3 = 0?
1/2, 1
Let i(f) be the second derivative of 0*f**2 - 3/20*f**5 - 4*f + 0*f**3 - 1/4*f**4 + 0 + 1/14*f**7 + 1/10*f**6. Let i(o) = 0. Calculate o.
-1, 0, 1
Factor 10/7 + 22/7*m + 2*m**2 + 2/7*m**3.
2*(m + 1)**2*(m + 5)/7
Let u(k) = 5*k**3 - 12*k**2 - 15*k. Let z(p) = 6*p**3 - 13*p**2 - 16*p. Let t(i) = -7*u(i) + 6*z(i). Factor t(y).
y*(y + 3)**2
Suppose 2*h - 378 = -372. Suppose 2/3*m + 5/3*m**2 - 5/3*m**4 - 2/3*m**h + 0 = 0. Calculate m.
-1, -2/5, 0, 1
Let w(j) be the third derivative of 2*j**7/21 - 13*j**6/24 + 11*j**5/12 - 5*j**4/12 + 9*j**2. Factor w(o).
5*o*(o - 2)*(o - 1)*(4*o - 1)
Factor 3*q + 0*q**2 + 4*q**2 + q**2 + 17*q.
5*q*(q + 4)
Let q be 5/(15/21) + -4. Factor -2/9*o**q - 2/9*o + 4/9*o**2 + 0.
-2*o*(o - 1)**2/9
Let f = -151/2 + 76. Find b such that b - b**3 + 0*b**2 - f*b**4 + 1/2 = 0.
-1, 1
Let j(q) = 3*q**2 - 2*q**2 - 8 - 7*q + 9*q + 5*q. Let s be j(-8). Suppose 2/7*y + s + 2/7*y**2 = 0. Calculate y.
-1, 0
Suppose 5*x = -p + 15, -4*p = -x + 2*x - 3. Let -2*i - 3 + 5*i**x + 3*i**4 + i**3 - 4*i = 0. What is i?
-1, 1
Let c = 227/3 + -75. Let d(n) be the second derivative of 2/5*n**5 + 0 + 0*n**2 + 7/5*n**6 + n - 3/2*n**4 - 6/7*n**7 + c*n**3. Let d(l) = 0. Calculate l.
-2/3, 0, 1/3, 1/2, 1
Let r = 45784/17 - 2690. Solve 16/17 + 88/17*h + 60/17*h**2 - r*h**3 = 0.
-2/3, -2/9, 2
Let n(v) be the first derivative of -1/10*v**4 - 1 - 54/5*v - 27/5*v**2 - 6/5*v**3. Find q such that n(q) = 0.
-3
Factor 2*n**3 + 4/3*n**4 + 4/3*n**2 + 1/3*n + 1/3*n**5 + 0.
n*(n + 1)**4/3
Let p(x) be the third derivative of -x**6/360 + x**5/90 - x**4/72 - 11*x**2. Factor p(l).
-l*(l - 1)**2/3
Let k(s) = -s**3 - 5*s**2 + 6*s + 3. Let b be k(-6). Factor 0*l + 3*l - 2*l**2 + 2*l**3 - b*l.
2*l**2*(l - 1)
Let m(b) be the third derivative of 5*b**8/1848 - 16*b**7/1155 + b**6/55 + b**5/33 - 17*b**4/132 + 2*b**3/11 - 8*b**2 + b. Suppose m(u) = 0. What is u?
-1, 1, 6/5
Suppose -12*i + 13 = -11. Factor 1/2 - 1/4*d**i - 1/4*d.
-(d - 1)*(d + 2)/4
Find i such that 5*i**2 + 2*i**5 - 9*i**3 + 2*i**4 + i**4 - 20*i**2 - 6*i + i**5 = 0.
-1, 0, 2
Let t(o) be the first derivative of o**6/360 + o**5/60 - o**3/3 - 5. Let i(d) be the third derivative of t(d). Solve i(j) = 0 for j.
-2, 0
Let u(h) = h - 8. Let t be u(13). Factor -2/7*q**t + 0*q**2 + 2/7*q**3 + 0*q + 0*q**4 + 0.
-2*q**3*(q - 1)*(q + 1)/7
Let y(v) = 0 + 8*v + 3*v**4 + v + 2 - 9*v**3. Let d(o) = o**4 - 4*o**3 + 4*o + 1. Let t(u) = 10*d(u) - 4*y(u). What is h in t(h) = 0?
-1, 1
Let p = 12 - 10. What is x in -4*x + 0*x + 3*x**3 + p*x**3 - 6*x**2 - 7*x**3 = 0?
-2, -1, 0
Let n(t) be the second derivative of -t**8/10080 + t**7/3780 + t**6/540 - t**4/6 - 3*t. Let d(s) be the third derivative of n(s). Factor d(k).
-2*k*(k - 2)*(k + 1)/3
Let x(v) be the third derivative of 1/30*v**4 + 0 - 1/150*v**5 - v**2 - 1/15*v**3 + 0*v. Factor x(s).
-2*(s - 1)**2/5
Suppose x + 1 = 3*a, 4*a + 7*x - 3*x = -4. Factor 16/3*u**2 + a + 2/3*u**4 + 10/3*u**3 + 8/3*u.
2*u*(u + 1)*(u + 2)**2/3
Let d = -24 + 26. Factor -2/5 + 0*v + 2/5*v**d.
2*(v - 1)*(v + 1)/5
Let j(o) be the first derivative of o**3/9 - o/3 + 6. Determine c so that j(c) = 0.
-1, 1
Let l(x) = -2*x - 5. Let h be l(-4). Suppose 6 = 5*r - 2*r. Factor -11*w**3 + 25*w**r + 5*w**h - 17*w**2 - 2*w.
-2*w*(w - 1)*(3*w - 1)
Let y be ((-3)/(-36))/(5/40). Factor -y - x - 1/3*x**2.
-(x + 1)*(x + 2)/3
Find p such that 5*p - 5/2*p**4 + 5/2*p**2 + 0 - 15/2*p**3 + 5/2*p**5 = 0.
-1, 0, 1, 2
Let c(d) be the third derivative of -d**8/110880 - 7*d**5/60 - 7*d**2. Let q(f) be the third derivative of c(f). Find i such that q(i) = 0.
0
Let f(a) be the first derivative of -2*a**3/27 - 2*a**2/9 - 7. Determine c so that f(c) = 0.
-2, 0
Let t be (2 - 26/10) + 1. Determine k, given that t*k**3 + 2*k**2 + 16/5*k + 8/5 = 0.
-2, -1
Let a(c) = -2*c**2 - 30*c - 28. Let o be a(-14). Let q(d) be the second derivative of 1/20*d**5 + 0*d**2 + 1/30*d**6 + o + 0*d**4 + 0*d**3 + 4*d. Factor q(p).
p**3*(p + 1)
Let x = 4 - 1. Suppose 2*q + q - x = 3*y, 4*q + 2*y = 22. What is o in 6*o**3 + 2*o**5 - o - 2*o**2 - 6*o**q + o = 0?
0, 1
Let w(m) be the first derivative of -1/2*m - 1/6*m**3 + 2 - 1/2*m**2. Factor w(d).
-(d + 1)**2/2
Let s(f) be the second derivative of 3*f + 0 + 1/42*f**4 + 0*f**3 - 1/7*f**2. Determine d, given that s(d) = 0.
-1, 1
Solve 3*a**2 + 2*a**3 + 2*a**4 - 9*a**2 + 2*a**3 - 8*a - 1 + 9 = 0.
-2, 1
Let t = -19 - -19. Let n(d) be the second derivative of t*d**4 + 1/60*d**5 + 1/45*d**6 + 0*d**3 + 1/126*d**7 - d + 0 + 0*d**2. Determine h, given that n(h) = 0.
-1, 0
Let z be 48/(-21) - 2/(-7). Let s(o) = o**2 - 2. Let t be s(z). Factor 0 + 2/7*f**t + 0*f + 2/7*f**3.
2*f**2*(f + 1)/7
Let g = -19 + 27. Suppose 4*u - u - 9 = 0, 2*t + 6 = 4*u. Let 2*i**4 - 2*i**5 - 4*i**2 - 4*i + g*i**t - 3*i**5 + i**5 + 2 = 0. What is i?
-1, 1/2, 1
Let h be 12/(-54)*(-6)/4. Suppose 0*s + 0 - 2/3*s**4 + h*s**3 + 2/3*s**2 - 1/3*s**5 = 0. Calculate s.
-2, -1, 0, 1
Let z(a) be the third derivative of 0 + 1/30*a**5 - 2*a**2 - 1/12*a**4 + 1/60*a**6 - 1/105*a**7 + 0*a + 0*a**3. Factor z(y).
-2*y*(y - 1)**2*(y + 1)
Suppose -4*x + 3*u - 16 = -u, 2*x + 12 = 3*u. Let k(m) be the second derivative of -m + 0*m**3 + x*m**2 + 1/18*m**4 + 0 - 1/15*m**5 + 1/45*m**6. Solve k(y) = 0.
0, 1
Suppose -16/3 - 44/3*p - 40/3*p**2 - 4*p**3 = 0. Calculate p.
-4/3, -1
Let v(c) be the third derivative of -c**5/30 - c**4/6 + 24*c**2. Find d such that v(d) = 0.
-2, 0
Let u(l) = 5*l**4 - 21*l**3 + 49*l**2 - 31*l + 14. Let x(b) = 5*b**4 - 22*b**3 + 48*b**2 - 32*b + 13. Let c(n) = -3*u(n) + 4*x(n). Factor c(r).
5*(r - 2)*(r - 1)**3
Let i(w) b