*2 = 0.
-1, 0, 1
Let w(k) = k**2 - k - 1. Let p(d) = 6*d**3 + 12*d**2 + 15*d + 6. Suppose y - 2*y = 1. Let h(z) = y*p(z) - 3*w(z). Solve h(n) = 0 for n.
-1, -1/2
Let o = 19361/1452 - 1/1452. Solve 1/3*h**5 + 80/3*h + 32/3 + 80/3*h**2 + o*h**3 + 10/3*h**4 = 0.
-2
Let p(n) be the second derivative of -5*n**4/18 - 2*n**3/9 - 6*n. Solve p(b) = 0.
-2/5, 0
Let z(r) be the first derivative of -2*r**5/35 - r**4/7 + 2*r**3/21 + 2*r**2/7 + 24. Factor z(o).
-2*o*(o - 1)*(o + 1)*(o + 2)/7
Let k(b) be the third derivative of -3/10*b**3 + 3*b**2 - 1/20*b**4 + 0 + 0*b - 1/300*b**5. Determine u, given that k(u) = 0.
-3
Let w = 6 - 2. Suppose -5*d - w*n - 12 = 0, 2*d + d + n + 3 = 0. Find g, given that g**2 + g**3 + 3*g + g**2 - 2*g + d*g**2 = 0.
-1, 0
Let m = 18 - 11. Let -5*r**2 - m*r**2 + 3*r**2 - 3*r**2 - 4*r**3 = 0. Calculate r.
-3, 0
Solve -1/10*j**5 - 3/5*j**3 - 9/5 - 3/5*j**4 + 8/5*j**2 + 3/2*j = 0 for j.
-3, -2, 1
Let o = 29 + -26. Determine v, given that 4/5 + 4/5*v**2 + 6/5*v**o - 14/5*v = 0.
-2, 1/3, 1
Let w be 6/((-216)/(-51)) - 8/6. Let s(q) be the second derivative of 0 + 0*q**2 + q + w*q**4 + 1/6*q**3. Factor s(l).
l*(l + 1)
Let g(p) = -5*p**2 + 3*p - 1. Let m be g(2). Let f be (-6)/10 + (-69)/m. Find z, given that 7*z**4 - 1 - 2*z + 3*z**3 + z**3 - 2*z**3 - 6*z**f = 0.
-1, 1
Find x, given that -12*x + 4*x**3 - 4*x**2 + 20*x - 12*x + 4 = 0.
-1, 1
Let j(a) be the second derivative of -2*a**7/105 - a**6/15 + a**5/15 + a**4/3 - 5*a**2/2 + 9*a. Let s(v) be the first derivative of j(v). Solve s(k) = 0 for k.
-2, -1, 0, 1
Let p(m) = -m + m**5 - m**2 + m**4 + m**3 + 0*m**5 - 1 - 2*m**3. Let y(d) = d**4 - d**3 - d**2 - d - 1. Let q(w) = -p(w) + y(w). Determine l so that q(l) = 0.
0
Suppose -1 = -2*d + 7. What is h in 2*h - 4*h + h + 0*h - 9*h**3 - d*h**4 - 6*h**2 = 0?
-1, -1/4, 0
Let q(y) be the first derivative of y**4/24 - y**3/6 + 2*y/3 + 2. Factor q(p).
(p - 2)**2*(p + 1)/6
Let a(m) be the first derivative of 3 - 1/12*m**3 - 1/8*m**2 + 0*m. Suppose a(r) = 0. What is r?
-1, 0
Factor -16*b**4 + 10 + 8*b**2 + 4*b**5 - 20*b + 16*b**3 - 3 + 1.
4*(b - 2)*(b - 1)**3*(b + 1)
Determine x, given that 62*x**2 + 0*x**3 - x**4 - 50*x**2 - 3*x**4 - 8*x**3 = 0.
-3, 0, 1
Find c such that -28*c**3 + 3*c**5 + 25*c**3 - 6*c**2 + c**4 + 5*c**4 = 0.
-2, -1, 0, 1
Let r(s) be the second derivative of -s**5/170 + 13*s**4/102 - 23*s**3/51 + 11*s**2/17 + s + 3. Suppose r(x) = 0. What is x?
1, 11
Let z(v) be the third derivative of -v**9/60480 + v**7/3360 - v**6/1440 + v**4/12 + 5*v**2. Let k(m) be the second derivative of z(m). Factor k(h).
-h*(h - 1)**2*(h + 2)/4
Let m be (-20)/5 + (-16)/(-2). Suppose 2*v + 8 = 4*c, m*v + 7*c - 23 = 2*c. Factor 7/6*s + 5/2*s**v + 2/3*s**4 + 13/6*s**3 + 1/6.
(s + 1)**3*(4*s + 1)/6
Suppose 3*y**3 - 9/4*y**4 - 3/2*y + 3/4*y**2 + 0 = 0. What is y?
-2/3, 0, 1
Let d(x) be the second derivative of -5/48*x**4 + 0 + 0*x**2 - 1/120*x**6 - 1/12*x**3 - 1/20*x**5 - 8*x. Suppose d(j) = 0. Calculate j.
-2, -1, 0
Suppose 4*y - 3*r + 48 = y, -5*r + 68 = -4*y. Let j(w) = -w - 12. Let i be j(y). Suppose 0 + i*l + 1/4*l**2 + 1/4*l**3 = 0. What is l?
-1, 0
Let b(z) be the first derivative of z**6/3 + 2*z**5/3 + z**4/3 - 1. Factor b(a).
2*a**3*(a + 1)*(3*a + 2)/3
Let z be 72/14 - 9/63. Let m(w) be the first derivative of -6/7*w**4 - 1/7*w**2 + 1 + 4/7*w**3 - 1/7*w**6 + 4/7*w**z + 0*w. Factor m(y).
-2*y*(y - 1)**3*(3*y - 1)/7
Let s(y) = -4*y**2 - 4*y. Let w be s(4). Let c = w + 242/3. Factor 0*m + 0 - 2/3*m**3 - c*m**2.
-2*m**2*(m + 1)/3
Let a = 44/5 - 298/35. Suppose 0 + 0*k**3 + 2/7*k**4 + 0*k - a*k**2 = 0. Calculate k.
-1, 0, 1
Factor 18/7 + 54/7*r + 2/21*r**5 + 60/7*r**2 + 92/21*r**3 + 22/21*r**4.
2*(r + 1)**2*(r + 3)**3/21
Let u(j) = j**3 + 2 + 0 - 2*j**2 + 2*j - 1 - j**2. Let p(z) = 0 + z - 4 + 5 - z**2. Let l(w) = p(w) - u(w). Factor l(o).
-o*(o - 1)**2
Let l(n) be the second derivative of 3/50*n**6 - 23/60*n**4 - 1/5*n**2 + 4*n + 0 - 13/30*n**3 - 3/100*n**5. Find t, given that l(t) = 0.
-1, -1/3, 2
Let c(h) = -h + 7. Let a be c(4). Let q(w) be the third derivative of 1/120*w**5 + 0 + 1/96*w**4 - w**2 - 1/160*w**6 + 0*w**a + 0*w. Solve q(k) = 0.
-1/3, 0, 1
Let y(u) = u**3 + 10*u**2 - 10*u + 13. Let h be y(-11). Suppose k + h = 7. Solve -1/4*s**k - s**2 - 3/2*s**3 - s**4 + 0 - 1/4*s = 0.
-1, 0
Let y(k) = -12*k**2 + 48*k - 65. Let z(o) = o**3 + 1. Let v(h) = 2*y(h) + 2*z(h). Factor v(f).
2*(f - 4)**3
Let m be 8 + -3 + -3 + 1. Let f(u) be the first derivative of -2/9*u**m - 1/3*u**2 + 1/6*u**4 + 2/3*u + 2. Suppose f(z) = 0. Calculate z.
-1, 1
Let n(t) be the third derivative of -2/15*t**5 + 0*t - 5/12*t**4 + 0 - 1/60*t**6 + 4*t**2 - 2/3*t**3. Factor n(w).
-2*(w + 1)**2*(w + 2)
Let x be -4 + 1*36/8. Let -x*t**2 + 0 - t = 0. Calculate t.
-2, 0
Let d(f) be the third derivative of 0 - 1/300*f**6 + 0*f - 2*f**2 + 1/1680*f**8 + 0*f**3 + 0*f**5 + 0*f**7 + 1/120*f**4. Factor d(l).
l*(l - 1)**2*(l + 1)**2/5
Solve 5*o**3 + 15*o**2 - 25/3*o**4 + 0 + 0*o + 5/3*o**5 = 0.
-1, 0, 3
Let n be -4*112/1092*(-3)/8. Factor 0 + 0*b + 2/13*b**3 - n*b**2.
2*b**2*(b - 1)/13
Find g, given that -4/3 + 0*g + 1/3*g**2 = 0.
-2, 2
Let s be (-2)/12*16/(-4). Let p(o) be the first derivative of 0*o**2 + 1/3*o**6 + 2/5*o**5 - 2 - 1/2*o**4 + 0*o - s*o**3. Factor p(f).
2*f**2*(f - 1)*(f + 1)**2
Let 0*y - 108/5*y**3 - 54/5*y**2 + 2/5 = 0. Calculate y.
-1/3, 1/6
Let k(z) be the second derivative of -2*z + 1/54*z**4 - 1/135*z**6 + 0*z**3 + 0*z**2 + 0*z**5 + 0. Find n such that k(n) = 0.
-1, 0, 1
Let l = -52 - -52. Suppose 0 + 1/3*s**4 + l*s**3 - 1/3*s**2 + 0*s = 0. What is s?
-1, 0, 1
Let p(h) be the third derivative of 0 + 1/40*h**5 + 2*h**2 + 0*h + 1/16*h**4 + 0*h**3. Find o such that p(o) = 0.
-1, 0
Let t(m) be the third derivative of m**5/20 - m**4 + 8*m**3 - 4*m**2. Factor t(q).
3*(q - 4)**2
Let x = -354/5 + 71. Let -c**3 + c - x*c**2 + 3/5*c**4 - 2/5 = 0. Calculate c.
-1, 2/3, 1
Suppose 8 + 0 = 4*u. Suppose -2/11*s + 2/11*s**3 - 2/11*s**u + 2/11 = 0. Calculate s.
-1, 1
Let u(v) be the first derivative of 9/35*v**5 + 9/14*v**2 - 2/7*v**3 - 3/14*v**4 - 1/14*v**6 - 2 - 3/7*v. Determine k so that u(k) = 0.
-1, 1
Let b be 20/(-12)*12/(-10). Determine p so that -5/3*p + 2/3 - 1/3*p**3 + 4/3*p**b = 0.
1, 2
Let y be (-4)/(-2)*2/4. Let d(v) = -2*v**2 + 2. Let l(g) = -g**2 + 1. Let c(t) = y*d(t) - 6*l(t). Factor c(s).
4*(s - 1)*(s + 1)
Let k(l) = -l + 10. Let m be k(7). Factor 2 + m*v**5 + v**4 - 2 + 2*v**4.
3*v**4*(v + 1)
Factor 2*w**2 + 18/7*w + 4/7.
2*(w + 1)*(7*w + 2)/7
Let q(b) be the first derivative of b**6/15 + 8*b**5/25 + b**4/2 + 4*b**3/15 - 3. Factor q(u).
2*u**2*(u + 1)**2*(u + 2)/5
Suppose o + 4*i - 24 = -3*o, -4*o + 5*i = -15. Suppose x = o*x. Find p, given that 0*p + x*p**2 + 2*p**2 + 2*p = 0.
-1, 0
Factor 0 - 8/5*p**3 - 8/5*p + 4*p**2.
-4*p*(p - 2)*(2*p - 1)/5
Let i(j) = -4*j - 1. Let b be i(-1). Determine a so that a + a + 2*a**2 + 2*a**b - 6*a = 0.
-2, 0, 1
Let i = -1 + 6. Suppose 4*c - 3*j = -4*j + 11, -i*c = 2*j - 16. What is h in 0 + 4/5*h - 2*h**2 - 4/5*h**3 + c*h**4 = 0?
-1, 0, 2/5, 1
Let m(z) be the third derivative of z**7/105 + z**6/12 + 3*z**5/10 + 7*z**4/12 + 2*z**3/3 + 28*z**2. Determine s, given that m(s) = 0.
-2, -1
Factor 1/2*f**2 + 1/2*f - 1.
(f - 1)*(f + 2)/2
Let d(u) be the first derivative of -2*u**5/15 + u**4/3 + 2*u**3/3 - 8*u**2/3 + 8*u/3 - 25. Find q, given that d(q) = 0.
-2, 1, 2
Let y = 205 + -605/3. Suppose 8 = 4*r - 0*r. Factor -8/3*n**r - y*n - 4/3 - 2/3*n**3.
-2*(n + 1)**2*(n + 2)/3
Let p(l) be the first derivative of -l**5/15 - l**4/6 + l**2/3 + l/3 + 8. Determine u so that p(u) = 0.
-1, 1
Let b(v) be the second derivative of 5*v**4/12 + 5*v**3/2 + 5*v**2 - 50*v. Find j such that b(j) = 0.
-2, -1
Let t(w) = w**3 + 8*w**2 - 9*w + 3. Let x be t(-9). Let n be (x/3)/(3/9). Factor -1/6*m**n + 0 - 1/3*m + 1/2*m**2.
-m*(m - 2)*(m - 1)/6
Let s(d) = -d - 7. Let g be s(-11). Factor 2*p**3 + 2 - 6*p**2 - g*p - 4 + 10*p.
2*(p - 1)**3
Factor 20*z - z**2 - 14*z + 0*z**2.
-z*(z - 6)
Let d(z) be the third derivative of -z**2 + 1/8*z**4 + 0*z + 0 - 1/6*z**3 + 7/240*z**5. Solve d(r) = 0.
-2, 2/7
Let p(h) be the third derivative of h**5/30 - h**4/12 - 2*h**3/3 + 5*h**2. Solve p(t) = 0 for t.
-1, 2
Let l(g) be the second derivative of 8*g**6/15 + 3*g**5/5 - 5*g**4/3 - 2