*i + 0 + 16/3*i**2 + 3*i**4 = 0.
0, 2/3, 1
Let 0*q + 0 + 0*q**3 + 1/5*q**2 - 1/5*q**4 = 0. Calculate q.
-1, 0, 1
Suppose 28 = 4*a - 4*r, -3*a + 4 + 1 = r. Determine d so that 2/7 - 4/7*d**2 + 0*d + 0*d**a + 2/7*d**4 = 0.
-1, 1
Factor 0*q + 2/9*q**4 + 0 + 2/9*q**3 - 4/9*q**2.
2*q**2*(q - 1)*(q + 2)/9
Let v(k) be the first derivative of k**5/10 + k**4/6 - k**3/3 - k**2 + 3*k + 2. Let q(s) be the first derivative of v(s). Let q(c) = 0. Calculate c.
-1, 1
Let j(c) be the first derivative of 3*c**5/10 - 9*c**4/4 + 13*c**3/2 - 9*c**2 + 6*c - 7. Factor j(y).
3*(y - 2)**2*(y - 1)**2/2
Suppose -y = -3*y. Suppose 2*a + 5*m + y = -4, -4*a - 2*m = -8. Suppose 0*o - 12*o**4 - 2*o - 18*o**a + 4*o**4 - 12*o**2 = 0. Calculate o.
-1, -1/4, 0
Let k(r) = -3*r**4 + 9*r**3 - 16*r**2 - 4*r. Let h(f) = f**4 - 3*f**3 + 5*f**2 + f. Let j(z) = -7*h(z) - 2*k(z). Factor j(y).
-y*(y - 1)**3
Let l(y) be the second derivative of y**6/6 - 10*y**4/3 + 40*y**2 + 8*y. Factor l(h).
5*(h - 2)**2*(h + 2)**2
Suppose 0 = -3*p + 4*p + 3. Let v be 4/p*(-3)/2. Find j, given that -2*j**3 + 4*j**2 - 4*j**4 + 2*j**5 + v*j**4 - 2*j**2 = 0.
-1, 0, 1
Let a(f) = 2*f**2 + f - 6. Let c be a(2). Factor 7*o**2 + 4/7 - c*o.
(7*o - 2)**2/7
Suppose -7 = -c - m, 4*c + 2*m - 10 - 12 = 0. Let u be (-1)/(-4) - (-7)/c. Factor -2 + 5*i + i**2 - 3*i + i**2 - u*i**3.
-2*(i - 1)**2*(i + 1)
Suppose 5*v = 26 + 34. Suppose -3*i + 18 = -3*d, 2*i + 2*d - v = -2*i. Suppose 0*z - 2*z + 2 + 2*z**i - 4*z**3 + 2*z**5 + 4*z - 4*z**2 = 0. What is z?
-1, 1
Determine j so that -12 - 4/3*j**2 - 8*j = 0.
-3
Let r(h) be the second derivative of -h**8/13440 + h**7/1260 - h**6/288 + h**5/120 + h**4/6 - 6*h. Let c(i) be the third derivative of r(i). Factor c(s).
-(s - 2)*(s - 1)**2/2
Let k(g) be the second derivative of -4*g + 0 + 2/3*g**3 - 1/3*g**4 + 0*g**2. Factor k(p).
-4*p*(p - 1)
Let k be -3 + 430/75 + -1. Let u = -4/3 + k. Factor 0*q**2 - u*q**4 + 0*q + 0 - 2/5*q**3.
-2*q**3*(q + 1)/5
Let k(f) be the second derivative of -f**6/45 - f**5/30 + 2*f**4/9 + 4*f**3/9 - 7*f. Factor k(g).
-2*g*(g - 2)*(g + 1)*(g + 2)/3
Suppose -4*b + 2*r = -4, -r = b - 2*b. Suppose 0*f = b*f - 14. Let -2*n**4 - n**4 - 2*n**5 - 4*n**2 + f*n**4 + 2*n = 0. What is n?
-1, 0, 1
Let r(t) be the first derivative of -5 + 2/9*t**3 + 0*t - 1/3*t**2. Factor r(o).
2*o*(o - 1)/3
Let b(p) be the third derivative of p**11/1164240 - p**9/70560 - p**8/35280 + p**5/60 + 2*p**2. Let g(f) be the third derivative of b(f). Solve g(r) = 0 for r.
-1, 0, 2
Let u(q) be the second derivative of q**5/120 + q**4/72 - q**3/36 - q**2/12 - 10*q. Factor u(z).
(z - 1)*(z + 1)**2/6
Suppose 2/3*k**4 - 8/3*k + 2/3*k**3 + 0 - 8/3*k**2 = 0. What is k?
-2, -1, 0, 2
Let k be (-2)/(-7)*(-6 + 13). Factor 1/4 - 1/2*s + 0*s**k + 1/2*s**3 - 1/4*s**4.
-(s - 1)**3*(s + 1)/4
Let i be 0*(-3 + (-15)/(-6)). Solve 2*c**4 + i*c**5 + 0*c**5 + c**5 = 0 for c.
-2, 0
Suppose 18 = 28*j - 19*j. Factor 2/3*a**3 - 2/3*a**4 + 2*a + 10/3*a**j + 0.
-2*a*(a - 3)*(a + 1)**2/3
Solve 2*j**4 - 9*j**3 + j**3 + 8*j**3 - 2*j**2 = 0 for j.
-1, 0, 1
Let h be ((-4)/10)/(64/(-10)). Let a(q) be the first derivative of -h*q**4 + 1/8*q**2 + 1/20*q**5 + 0*q + 1 - 1/12*q**3. Factor a(z).
z*(z - 1)**2*(z + 1)/4
Let a(v) be the second derivative of v**7/210 + v**6/120 - 2*v**2 - v. Let o(x) be the first derivative of a(x). Factor o(g).
g**3*(g + 1)
Let m(o) = 2*o**4 + 0 - 3*o**4 - 3*o - 3 - o**4 - 5*o**5. Let w(h) = -14*h**5 - 6*h**4 - 8*h - 8. Let j(c) = 8*m(c) - 3*w(c). Find t, given that j(t) = 0.
-1, 0
Let p = 23/84 + -4/21. Let w(y) be the first derivative of -1 - 9/16*y**4 + 1/8*y**2 + p*y**3 + 11/20*y**5 - 1/6*y**6 + 0*y. Factor w(m).
-m*(m - 1)**3*(4*m + 1)/4
Let l(i) be the first derivative of i**7/420 - i**5/40 + i**4/24 - i**2/2 + 4. Let d(f) be the second derivative of l(f). Factor d(o).
o*(o - 1)**2*(o + 2)/2
Let t be ((-6)/(-16))/(6/4). Suppose -4*d = -5*b + 7 + 3, 0 = 3*d + 4*b - 8. Find a, given that t*a - 1/4*a**2 + d = 0.
0, 1
Factor f**3 + 6*f**3 - f**3 - 11*f**3.
-5*f**3
Let h be ((-2)/(-5))/(19/5 + -3). Factor 0*l - h*l**4 + 0 + 1/2*l**2 + 0*l**3.
-l**2*(l - 1)*(l + 1)/2
Let l(u) = -u**2 - u + 5. Let o be l(0). Let t = o - 1. Factor 9*b**3 + 4*b**4 - b**t + b**4 + 3*b**2 + 2*b**4.
3*b**2*(b + 1)*(2*b + 1)
Let g(z) = -z + 6. Let o be g(5). Suppose -3 = -n + o. Determine c so that 3*c**3 - n*c + 4*c = 0.
0
Let j(n) = 9*n - 25. Let x be j(3). Let y = 11/4 + -29/12. Factor -1/3*b**3 + 0*b**x + 0 + y*b.
-b*(b - 1)*(b + 1)/3
Let m(a) be the third derivative of -a**8/504 - 4*a**7/945 - a**6/540 + 15*a**2. Suppose m(y) = 0. Calculate y.
-1, -1/3, 0
Let u(k) be the second derivative of 1/3*k**2 - 2/15*k**5 + 1/45*k**6 - 4/9*k**3 + 0 + 1/3*k**4 - 2*k. Determine o, given that u(o) = 0.
1
Suppose -3/5*q**2 - 12/5 - 12/5*q = 0. What is q?
-2
Let x(u) be the first derivative of u**6/36 - u**5/10 + u**4/12 + u**3/9 - u**2/4 + u/6 + 36. Find j such that x(j) = 0.
-1, 1
Solve -1/3*j**4 + 1/3*j**2 + 0 - 2/3*j**3 + 2/3*j = 0 for j.
-2, -1, 0, 1
Solve -5*u**3 - 4*u**2 + 0*u**2 - u**2 = 0 for u.
-1, 0
Let q(o) = -14*o**3 - 2*o**2 - o. Let r be q(-1). Let h = r - 8. Factor w**3 + 0*w**3 + h*w**2 - w**5 + w**4 - 6*w**2.
-w**2*(w - 1)**2*(w + 1)
Factor 1/2*n**2 + 1/2*n**4 + 0 - n**3 + 0*n.
n**2*(n - 1)**2/2
Let d(k) be the third derivative of -7/8*k**4 - 7*k**2 + 0 + 17/40*k**6 + 0*k + k**3 + 1/5*k**7 - 3/10*k**5. Suppose d(a) = 0. Calculate a.
-1, 2/7, 1/2
Factor 4/7 - 18/7*u - 10/7*u**2.
-2*(u + 2)*(5*u - 1)/7
Factor 0*b + 0 - 4/3*b**2 - 2*b**3 - 2/3*b**4.
-2*b**2*(b + 1)*(b + 2)/3
Let k(n) be the first derivative of n**5 + 5*n**4 + 25*n**3/3 + 5*n**2 - 4. Solve k(m) = 0.
-2, -1, 0
Let r = -461/3 + 152. Let f = -17/12 - r. Factor 1/4*t**2 - f*t + 0.
t*(t - 1)/4
Let c(n) be the first derivative of -n**6/16 + 3*n**4/32 + 4. Find q such that c(q) = 0.
-1, 0, 1
Let s = 361/3 - 120. Suppose 2/3 + s*r**2 - r = 0. Calculate r.
1, 2
Let u(t) be the first derivative of -t**4/2 + 3*t**2 + 4*t + 15. Factor u(h).
-2*(h - 2)*(h + 1)**2
Let d be 0 + 0*(-1)/(-2). Let q be 2 + 0 + d/(-2). Find t such that t**4 - 2*t**4 + 3*t**5 - q*t**5 = 0.
0, 1
Let v(a) be the first derivative of 2*a**5/25 - a**4/10 - 21. Factor v(s).
2*s**3*(s - 1)/5
Let n(a) = -a + 1. Let i(u) = 3*u**2 + 3*u - 6. Let v(l) = i(l) - 15*n(l). Solve v(f) = 0.
-7, 1
Let c = -17 - -21. Suppose -c*l = -l. Let 0*m + 2/3*m**3 + l - 1/3*m**4 - 1/3*m**2 = 0. Calculate m.
0, 1
Let h(t) be the third derivative of -1/30*t**5 + 0*t**3 + 0 + 1/12*t**4 + 0*t - 6*t**2. Determine b, given that h(b) = 0.
0, 1
Suppose -6/7 - 3/7*f**2 + 9/7*f = 0. What is f?
1, 2
Let z be (16/70)/2 - 10/(-35). Factor -4/5*d - 2/5 - z*d**2.
-2*(d + 1)**2/5
Let d(n) = -n**2 + 0*n**2 + 6 - 4*n + 8*n. Let l(k) = -6*k**2 + 20*k + 31. Let u(v) = 11*d(v) - 2*l(v). Determine r so that u(r) = 0.
-2
Let v(h) = h**2 - 3*h + 2. Let j be v(2). Let g = 2 - j. Factor 1/3*r + 1/3 - 1/3*r**3 - 1/3*r**g.
-(r - 1)*(r + 1)**2/3
Suppose 3*q = -4*a + 67 - 74, -3*a + 1 = q. Factor 0 - 8/7*n - 14*n**3 - 8*n**a.
-2*n*(7*n + 2)**2/7
Let a(t) be the second derivative of -2*t**6/45 + t**5/30 + t**4/6 - t**3/9 - t**2/3 - 5*t. Find y, given that a(y) = 0.
-1, -1/2, 1
Let k = -734/3 - -246. Factor 2/3*a - k*a**2 + 2/3*a**4 - 4/3*a**3 + 2/3 + 2/3*a**5.
2*(a - 1)**2*(a + 1)**3/3
Suppose 5/2*l + 0*l**2 + 1 - l**4 - 5/2*l**3 = 0. Calculate l.
-2, -1, -1/2, 1
Let g(q) be the second derivative of q**7/21 + q**6/15 - 9*q. Factor g(r).
2*r**4*(r + 1)
Factor -3/5*k**2 + 0 + 0*k.
-3*k**2/5
Let r(x) be the second derivative of -x**4/60 - 2*x**3/15 - 2*x**2/5 - 4*x. Factor r(f).
-(f + 2)**2/5
Suppose -7*n + 2*n + 16 = -i, -2*n + 7 = -i. Let p(q) be the second derivative of -1/12*q**4 + 0 - 2*q + 1/5*q**5 + 1/10*q**6 - 1/3*q**n + 0*q**2. Factor p(f).
f*(f + 1)**2*(3*f - 2)
Factor 2 - 2*h + 1/2*h**2.
(h - 2)**2/2
Let m be (2/28)/(2/8). Factor m*y**2 + 4/7 + 6/7*y.
2*(y + 1)*(y + 2)/7
Let l(j) be the first derivative of j**5/30 - 2*j**2 - 5. Let k(f) be the second derivative of l(f). Factor k(r).
2*r**2
Let p(v) be the third derivative of 2*v**2 - 1/300*v**6 + 0*v**4 + 0*v**3 + 0*v + 1/150*v**5 + 0. Determine t so that p(t) = 0.
0, 1
Suppose 2/9*l**3 + 2/9*l**2 + 0*l + 0 = 0. What is l?
-1, 0
Let i = 13 + -1. Let q be (i/48)/((-2)/(-4)). Factor 0 + q*o