**4 - 1/6*p**2 = 0.
0, 1
Let z(y) be the third derivative of -y**8/10080 - y**7/840 + y**5/15 - 6*y**2. Let j(c) be the third derivative of z(c). Factor j(m).
-2*m*(m + 3)
Let z = -662/7 - -95. Factor 3/7*t - z*t**2 - 3/7*t**3 + 3/7.
-3*(t - 1)*(t + 1)**2/7
Let b(m) be the second derivative of -1/4*m**4 + 0 - 6*m + 2*m**2 - 1/20*m**5 + 0*m**3. Factor b(j).
-(j - 1)*(j + 2)**2
Let u = -447 - -451. Determine x, given that 4/17*x**3 - 2/17*x**u + 0 + 0*x + 0*x**2 = 0.
0, 2
Suppose 9*i = 4*i - b + 1, 0 = -5*b + 5. Let o(l) be the third derivative of 0*l - 1/96*l**4 + 0 + i*l**3 - 1/240*l**5 - 2*l**2. Factor o(c).
-c*(c + 1)/4
Let x(v) = -v**2 + 12*v. Let z be x(12). Let s(d) be the first derivative of -1/5*d**5 + 1/4*d**4 + z*d**2 + 1 + 0*d**3 + 0*d. Factor s(i).
-i**3*(i - 1)
Suppose -3 + 0 = -3*t. Let b be 1/(-2) + t/2. Factor b + 0*l**2 - 2/3*l**3 + 2/3*l.
-2*l*(l - 1)*(l + 1)/3
Solve -4 - 2*x + 2*x**2 + 3*x + x = 0 for x.
-2, 1
Suppose 4*z = 5*q - 6, -z - 4 = -0*z. Let f(j) = 2*j**3 - 4*j + 2. Let h(o) = -o**3 + 1. Let x(k) = q*h(k) + f(k). Find w such that x(w) = 0.
-1, 0, 1
Let z(l) = -l**2 + l + 6. Let a be z(3). Solve -1/3*w**3 + a + 0*w**2 + 1/3*w = 0.
-1, 0, 1
Let j(b) = -b**2 - b. Let y(u) = -u**5 - u**4 + u**3 + 4*u**2 + 3*u. Let w = -3 - -3. Suppose -m - 3 + 6 = w. Let h(k) = m*j(k) + y(k). Let h(s) = 0. What is s?
-1, 0, 1
Let v = 5 - 6. Let m(q) = -4*q**3 - 1. Let h be m(v). Factor 0*f**2 - f**2 - f**4 + 0*f**2 - f**3 + h*f**3.
-f**2*(f - 1)**2
Let h(a) be the third derivative of 338*a**7/105 - 91*a**6/20 + 2*a**5 - a**4/3 - 11*a**2. Solve h(f) = 0 for f.
0, 2/13, 1/2
Let w(v) = v**3 - 2*v**2 - 3*v. Let b be w(3). Find z such that 12*z + 0*z**2 + 2*z**2 + b*z**2 + 18 = 0.
-3
Suppose -4*q - 3 = 13. Let u be 6 + q + 4/(-3). Solve u*p - 2/3*p**2 + 2/3 - 2/3*p**3 = 0.
-1, 1
Let o(g) be the second derivative of 9*g + 0*g**2 + 0*g**3 - 1/16*g**4 + 0. Factor o(k).
-3*k**2/4
Let t(b) = -2*b**3 - 13*b**2 + 22*b + 3. Let l(u) = 5*u**3 + 27*u**2 - 43*u - 7. Let x(p) = -3*l(p) - 7*t(p). Find q, given that x(q) = 0.
0, 5
Determine o, given that -8*o**2 - 6*o**3 - 8/3*o + 0 = 0.
-2/3, 0
Let l be (301/28 - 11)/((-2)/16). Find p, given that 4/11 + 2/11*p - 2/11*p**l = 0.
-1, 2
Let m(h) be the first derivative of -h**5/15 - 2*h**4/3 - 2*h**3 - 4*h**2 - 8. Let u(g) be the second derivative of m(g). Factor u(z).
-4*(z + 1)*(z + 3)
Let p(b) be the third derivative of 0 - 3*b**2 + 0*b + 1/165*b**5 - 1/132*b**4 - 1/33*b**3. Factor p(w).
2*(w - 1)*(2*w + 1)/11
Solve 2/9*n**2 + 2/3 - 8/9*n = 0 for n.
1, 3
Suppose 2*u + 5 = -m - 3, -5*m + 2*u = -20. Factor 28*p**3 - 19*p**3 + 3*p - 9*p**m + 0*p - 3*p**4.
-3*p*(p - 1)**3
Let m = 14 + -9. Suppose 0*b + 20 = -m*b, 0 = -a - 5*b - 17. Find n such that -2*n**4 + a*n**3 + n**3 - 2 - 4*n + 4*n**4 = 0.
-1, 1
Suppose -14 = 4*i + o - 4*o, 0 = -5*i + 2*o - 14. Let t be (0/i)/(1 - 2). What is z in 1/2*z**2 + t - 1/2*z = 0?
0, 1
Let a(u) be the first derivative of -7/48*u**4 - 4 + 3*u + 1/2*u**2 - 1/6*u**3 - 1/40*u**5. Let b(t) be the first derivative of a(t). Factor b(f).
-(f + 2)**2*(2*f - 1)/4
Let c be 6 - ((-119)/(-42) - -3). What is g in -1/6*g**2 + c*g + 1/3 = 0?
-1, 2
Factor 3/8*c**4 + 9/4*c**2 + 3/2*c + 3/8 + 3/2*c**3.
3*(c + 1)**4/8
Let n = -32 + 32. Let i(b) be the second derivative of n*b**2 - b + 1/18*b**4 + 0 + 1/9*b**3. Factor i(f).
2*f*(f + 1)/3
Let u(n) be the third derivative of 0*n - 1/392*n**8 - 2*n**2 + 0*n**3 - 1/105*n**7 + 0*n**4 - 1/84*n**6 - 1/210*n**5 + 0. Factor u(k).
-2*k**2*(k + 1)**2*(3*k + 1)/7
Suppose 2 = -4*r + 2*x, -5*r + 7*x - 2*x - 5 = 0. Let z(n) be the first derivative of 2/3*n**3 + r*n - 1/3*n**2 + 1 - 2/5*n**5 + 1/6*n**4. Solve z(t) = 0.
-1, 0, 1/3, 1
Find r such that 10/3*r**2 + 2 + 16/3*r = 0.
-1, -3/5
Let q(t) be the second derivative of -49*t**5/4 - 35*t**4/3 - 10*t**3/3 + 9*t. Factor q(d).
-5*d*(7*d + 2)**2
Let t(d) be the third derivative of d**5/40 - 3*d**4/16 + d**3/2 - 7*d**2. Solve t(r) = 0.
1, 2
Suppose 3*d**3 + 2*d**4 - 3*d**5 - 7*d**3 - 15*d**4 = 0. Calculate d.
-4, -1/3, 0
Let h(u) be the first derivative of 2*u - 5/4*u**4 - 7/2*u**2 - 2 + 3*u**3 + 1/5*u**5. Find k such that h(k) = 0.
1, 2
Let 0*o + 0 - 1/3*o**2 = 0. What is o?
0
Suppose -4*u - 14 = 2*n - 4*n, -20 = 5*n + u. Let r = n + 3. Determine i so that -1/2*i - 1/2*i**3 - i**2 + r = 0.
-1, 0
Let d = -111/10 + 67/6. Let p(n) be the second derivative of 0*n**4 - 2*n + 2/3*n**3 + 0 - n**2 + d*n**6 - 1/5*n**5. What is s in p(s) = 0?
-1, 1
Let s(f) be the third derivative of 0*f**5 + 0 + 0*f - f**2 + 0*f**4 + 1/112*f**8 + 1/175*f**7 + 0*f**3 + 0*f**6. Factor s(n).
3*n**4*(5*n + 2)/5
Let z(v) = -v**2 - 1. Let h(r) = 2*r**2 - r + 1. Let y be h(1). Let s(p) = 3 + 2*p**2 - p + 0 + y*p**2. Let u(q) = -2*s(q) - 6*z(q). Factor u(f).
-2*f*(f - 1)
Suppose 2*h + 3*v = 12, -3*h + 4*v + 3 = 2. Solve -6*j**4 - 18*j**3 - 3*j**5 - 12*j**2 - h*j - 6*j**4 + 0*j**4 = 0.
-1, 0
Suppose -2*v + 12 = -2. Suppose 0 = -v*t + 6*t. Solve 2/3*i**4 + 0*i + 1/3*i**3 + t*i**2 + 1/3*i**5 + 0 = 0.
-1, 0
Suppose 46*s = 30*s. Factor 1/5*g**2 + s*g - 1/5.
(g - 1)*(g + 1)/5
Let u(v) be the third derivative of v**6/960 - 11*v**5/480 + 13*v**4/96 - v**3/3 + 49*v**2. What is m in u(m) = 0?
1, 2, 8
Let l be -14*(-4)/60 + 2. Let a = -13/5 + l. Find x such that 1/3*x**2 - a*x + 0 = 0.
0, 1
Let t(y) = 18*y + 185. Let d be t(-10). Suppose 0 + 3/5*p**d + 6/5*p**4 - 3/5*p + 0*p**3 - 6/5*p**2 = 0. What is p?
-1, 0, 1
Let b be 42/(-7)*(-159)/7. Let u = b + -136. Factor u*k**5 + 2/7*k + 12/7*k**3 + 0 + 8/7*k**4 + 8/7*k**2.
2*k*(k + 1)**4/7
Let a(n) be the second derivative of -3*n**6/10 + 3*n**4/4 - 5*n**2/2 + 3*n. Let f(h) = -22*h**4 + 22*h**2 - 12. Let p(s) = -12*a(s) + 5*f(s). Factor p(w).
-2*w**2*(w - 1)*(w + 1)
Let n be (-1)/(4/(-16)) - 2. Let -2*o**2 - 2*o**n + 3*o**3 + o**2 = 0. What is o?
0, 1
Let t(b) = 5*b**4 - 4*b**3 - 12*b**2 - 2*b - 5. Let m(n) = -4*n**4 + 3*n**3 + 10*n**2 + 2*n + 4. Let a(p) = 6*m(p) + 5*t(p). Let a(y) = 0. What is y?
-1, 1
Let u be (-2)/(-11)*6/((-42)/(-7)). Solve 0 + u*t**4 + 0*t + 2/11*t**5 - 2/11*t**3 - 2/11*t**2 = 0.
-1, 0, 1
Let t(z) be the second derivative of z**4/72 - z**3/3 + 3*z**2 - 49*z. Determine x, given that t(x) = 0.
6
Let p be (-1110)/1325 - 4/(-5). Let q = 63/265 + p. Let 0 + 1/5*s - q*s**2 = 0. What is s?
0, 1
Suppose 2*c**2 - 8/5*c - 2/5*c**5 + 2*c**3 - 2/5*c**4 - 8/5 = 0. Calculate c.
-2, -1, 1, 2
Suppose -3*d = -5*r + r - 18, -4 = d + 2*r. Suppose 0*w + k = 4*w - 6, 2*w - 3*k + d = 0. Factor 2*c**w - 5*c + 3*c - 2*c - 4*c**2.
-2*c*(c + 2)
Factor 0*k + 1/4*k**2 - 1/4.
(k - 1)*(k + 1)/4
Suppose 2*t - w - 5 + 1 = 0, -3*t + 2*w + 4 = 0. What is i in -i**2 + 6*i**4 - 2*i**2 - 3*i**t = 0?
-1, 0, 1
Let h(i) be the second derivative of i**7/1260 - i**5/180 - i**3/2 - 6*i. Let n(t) be the second derivative of h(t). Factor n(a).
2*a*(a - 1)*(a + 1)/3
Suppose p - 3 = 2. Suppose 5*b - 5 = p*o, -3*b + o = -0*o - 7. Factor 3*x**4 + 0*x**2 - 2/3*x**b - 7/3*x**5 + 0 + 0*x.
-x**3*(x - 1)*(7*x - 2)/3
Let x = 5 + -3. Factor 0 + 0*o**4 + 2/9*o**3 - 2/9*o**5 + 0*o**x + 0*o.
-2*o**3*(o - 1)*(o + 1)/9
Determine d so that 10/11*d**3 + 0*d + 0 + 9/11*d**2 + 1/11*d**4 = 0.
-9, -1, 0
Find f such that 1/5*f**5 + 2/5*f**2 + 0*f**3 - 1/5*f - 2/5*f**4 + 0 = 0.
-1, 0, 1
Factor -2/7*g**5 + 0*g + 4/7*g**2 + 8/7*g**4 + 0 - 10/7*g**3.
-2*g**2*(g - 2)*(g - 1)**2/7
Factor 0*r + 1/3 - 2/3*r**2 + 0*r**3 + 1/3*r**4.
(r - 1)**2*(r + 1)**2/3
Let 3*t + 4*t**2 - 6*t - 7*t**2 = 0. Calculate t.
-1, 0
Suppose 3*y**3 + 0 + 1/3*y + 2*y**2 = 0. What is y?
-1/3, 0
Let i = -3/16 + 25/48. Let z(s) be the second derivative of -s**2 + 0 - s - 1/15*s**6 + 1/3*s**3 + 1/21*s**7 + i*s**4 - 1/5*s**5. Factor z(m).
2*(m - 1)**3*(m + 1)**2
Let s(h) = 3*h**5 - 24*h**4 - 15*h**3 + 9*h**2. Suppose 3*z = 6*z + 15. Let j(a) = -2*a**5 + 12*a**4 + 7*a**3 - 5*a**2. Let u(k) = z*s(k) - 9*j(k). Factor u(q).
3*q**3*(q + 2)**2
Let j(t) = -10*t**2 + 12*t - 2. Let w(z) = -7*z**2 + 8*z - 1. Let h(u) = -5*j(u) + 7*w(u). Factor h(q).
(q - 3)*(q - 1)
Let u be (-50 + -8)/(1*-7). Let q = u + -160/21. Let -q*n**2 - 2/3*n + 0 = 0. Calculate n.
-1, 0
Let h(g) = 20*g**4 + 48*g**3 + 41*g**2 + 8*g. Let i(z) = -30*z**4 - 72*z**3 - 61*z**2 - 12*z. Let c(w) = 7*h(w) + 5*i(w). Factor c(y).
-2*y*(y + 