 6, v + 3 = m. Let i = v - -3. Solve 2*r**2 + 0*r**2 + 0*r**i + 6*r**3 = 0 for r.
-1/3, 0
Let x(o) = o**5 - 7*o**4 + 12*o**3 - 6*o + 7. Let b(s) = -3*s**4 + 6*s**3 - 3*s + 3. Let h(y) = 7*b(y) - 3*x(y). Factor h(l).
-3*l*(l - 1)**2*(l + 1)**2
Let m(s) be the second derivative of -s**7/36 - s**6/90 + 7*s**5/24 + 5*s**4/36 - 7*s**3/9 - 2*s**2/3 - 7*s. Suppose m(y) = 0. What is y?
-2, -1, -2/7, 1, 2
Let y = 11 + 3. Let p be (-4)/5*(-5)/y. Factor p*h + 2/7*h**3 + 0 + 4/7*h**2.
2*h*(h + 1)**2/7
Let m = 12 - 7. Solve -f**2 + 0*f - 4*f - 3*f + 3 + m*f = 0.
-3, 1
Let w(l) = 5*l**3 + 5*l - 2. Let n(v) = 14*v**3 + 14*v - 5. Let h(z) = 4*n(z) - 11*w(z). Let o be h(0). Factor -f - 3*f**3 - 2*f**3 + o + 6*f - 2*f**2.
-(f - 1)*(f + 1)*(5*f + 2)
Factor 6*r**2 - 2*r**4 + 17*r**3 - 9*r**3 + 0*r**4 + 4*r**4.
2*r**2*(r + 1)*(r + 3)
Let g be (-19 - -23) + (22/(-3))/2. Suppose 8 - 4 = 2*n. Factor g*y**n + 1/3*y + 0.
y*(y + 1)/3
Let d(p) be the second derivative of p**5/100 - p**4/15 + 2*p**3/15 + 29*p. Find x such that d(x) = 0.
0, 2
Let k be (2 - 1/(-2))*(-48)/(-90). Factor -2/3*b**2 - k + 2*b.
-2*(b - 2)*(b - 1)/3
Let f(q) be the second derivative of -q**4/30 - 2*q**3/15 - q**2/5 + q. Factor f(k).
-2*(k + 1)**2/5
Let p(f) be the third derivative of -f**7/840 - 7*f**6/480 - 17*f**2 + 1. Suppose p(b) = 0. Calculate b.
-7, 0
Let d(v) = v**4 - 7*v**3 - 3*v**2 - 5*v + 5. Let f(p) = p**4 - 3*p**3 - p**2 - 3*p + 3. Let s(z) = -3*d(z) + 5*f(z). Factor s(w).
2*w**2*(w + 1)*(w + 2)
Let n(j) = j**3 + 9*j**2 + 10*j + 8. Let p be n(-7). Suppose -4*g = 16 - p. Factor 1/2*b**g + 1/2*b**4 + 0 - 1/2*b**2 - 1/2*b**3 + 0*b.
b**2*(b - 1)*(b + 1)**2/2
Let j(w) be the second derivative of 0 + 4/15*w**6 + 1/3*w**3 + 0*w**2 + 2/3*w**4 + 3*w + 3/5*w**5 + 1/21*w**7. Suppose j(b) = 0. What is b?
-1, 0
Suppose 5*y = -3*f + 2*y, 0 = -4*f + 3*y. Find r such that 1/2*r**3 - 3/2*r + f*r**2 - 1 = 0.
-1, 2
Let v(j) be the first derivative of -2 + 1/3*j**2 + j + 2/9*j**3 + 1/18*j**4. Let l(o) be the first derivative of v(o). Factor l(d).
2*(d + 1)**2/3
Let f = 93 + -93. Let p(j) be the first derivative of -2/5*j**3 + f*j**2 - 4 - 9/25*j**5 + 3/4*j**4 + 0*j. Factor p(d).
-3*d**2*(d - 1)*(3*d - 2)/5
Suppose -3*w - 4*k + k = 0, -k = 5*w - 4. Suppose -4 + w = -l. Solve -2*v**5 + l - 3 + 0*v**5 = 0.
0
Let f(s) be the second derivative of 7*s**8/240 - 3*s**7/20 + s**6/6 - s**5/15 - 2*s**3/3 + 4*s. Let h(r) be the second derivative of f(r). Factor h(k).
k*(k - 2)*(7*k - 2)**2
Let g(q) = q**3 - 3*q**2 + 4*q - 2. Let v be g(2). Factor 0 + 1/2*j - 3/2*j**v.
-j*(3*j - 1)/2
Let d(a) be the first derivative of a**3/6 - 3*a**2/4 - 2*a - 2. Determine f, given that d(f) = 0.
-1, 4
Factor 0*y - 2/3*y**2 + 0 - 10/3*y**4 - 8/3*y**3 - 4/3*y**5.
-2*y**2*(y + 1)**2*(2*y + 1)/3
Let k(m) be the second derivative of m**4/3 - 8*m**3/3 + 8*m**2 - 30*m. Suppose k(b) = 0. What is b?
2
Suppose -2*a + 4*u - 15 = -u, 3*a - 5*u = -15. Let z(r) be the third derivative of 1/240*r**5 + 0 + 1/96*r**4 + r**2 + a*r + 0*r**3. Factor z(p).
p*(p + 1)/4
Let b(v) = 11*v**2 - 4*v - 1. Let i(j) = 65*j**2 - 25*j - 5. Let z(x) = -35*b(x) + 6*i(x). Let z(a) = 0. Calculate a.
1
Let c(h) be the second derivative of h**6/240 + h**5/40 + h**4/16 + h**3/12 + 3*h**2 - h. Let l(q) be the first derivative of c(q). Find k such that l(k) = 0.
-1
Let a(l) be the second derivative of -l**4/42 + l**2/7 + 2*l. Let a(x) = 0. Calculate x.
-1, 1
Let x(u) be the first derivative of u**6/10 + 3*u**5/20 - u**4/2 + 2*u + 4. Let o(h) be the first derivative of x(h). Determine v so that o(v) = 0.
-2, 0, 1
Suppose 2*i + 1 - 32 = -t, -3*t = 5*i - 79. Factor 0*d + 0*d + 0*d + 4*d - 10*d**4 + 18*d**3 - i*d**2 + 2*d**5.
2*d*(d - 2)*(d - 1)**3
Suppose -5*y - 15 + 4 = 3*o, -y = -o + 7. Factor 79*b**2 - 2 - 4 - o*b - 76*b**2.
3*(b - 2)*(b + 1)
Let j(c) be the second derivative of 0 - 2/5*c**5 - c - 1/21*c**7 - 4/15*c**6 + 2*c**2 + 5/3*c**3 + 1/3*c**4. Factor j(a).
-2*(a - 1)*(a + 1)**3*(a + 2)
Let v(i) be the third derivative of -2*i**7/105 - i**6/15 - i**5/15 + 7*i**2. Factor v(h).
-4*h**2*(h + 1)**2
Let y(a) be the first derivative of -1/9*a**2 + 0*a**3 - 1 - 4/45*a**5 + 0*a + 1/6*a**4. Factor y(p).
-2*p*(p - 1)**2*(2*p + 1)/9
Let t(x) be the second derivative of x**5/30 + 2*x**4/27 - 17*x**3/27 - 2*x**2/3 + 2*x - 32. Find q such that t(q) = 0.
-3, -1/3, 2
Find q such that -3*q - 2*q**2 + 0*q + 5*q**2 = 0.
0, 1
Let f = -26 + 31. Let g = 5 - f. Factor -3/2*o**2 - 3/4*o - 3/4*o**3 + g.
-3*o*(o + 1)**2/4
Solve -161 + 5*w**4 - 15*w**2 + 10*w + 161 = 0 for w.
-2, 0, 1
Let q(g) = -g**4 - 6*g**3 + g**2. Let d(b) = -b**4 - 5*b**3 + b**2. Let i = 5 - -1. Let k = 7 + -12. Let v(p) = i*d(p) + k*q(p). Factor v(t).
-t**2*(t - 1)*(t + 1)
Let d = 172/1067 - -2/97. Find z such that 0 + 0*z + 2/11*z**2 + d*z**3 = 0.
-1, 0
Let c be 0 + 3/(-30)*-1198. Let s = c + -119. Factor s - 6/5*x + 2/5*x**2.
2*(x - 2)*(x - 1)/5
Let n be (-6)/(-30) - (-202)/(-10). Let c be (-32)/(-10)*(-5)/n. Let 2/5*r**4 + c - 2/5*r**3 - 6/5*r**2 + 2/5*r = 0. Calculate r.
-1, 1, 2
Let l(u) be the second derivative of -u**7/28 - u**6/5 - 9*u**5/40 + u**4/2 + u**3 - 9*u. Suppose l(z) = 0. Calculate z.
-2, -1, 0, 1
Let j(r) be the third derivative of r**7/6300 + r**6/450 + r**5/75 + r**4/6 + r**2. Let p(o) be the second derivative of j(o). Factor p(u).
2*(u + 2)**2/5
Solve 3*h + 2 - 2*h**2 + 0*h**2 - h - 8*h**2 + 6*h**3 = 0 for h.
-1/3, 1
Let b(a) be the first derivative of a**3/21 + 3*a**2/7 + 5*a/7 - 12. Factor b(r).
(r + 1)*(r + 5)/7
Let a(z) = -66*z**2 + 72*z - 27. Let h(b) = -b**2. Let d(t) = a(t) - 18*h(t). Factor d(y).
-3*(4*y - 3)**2
Let d = 77/174 + -8/29. Solve -1/6*q**2 + 1/3*q - d = 0.
1
Let s(i) = -4*i - 4 - 4*i**3 + 0*i**3 + 8*i**5 - 3*i**4 + 5*i**4 + 2*i**2. Let z(g) = g - g**5 - g**2 + 113 - 112 + 0*g. Let b(f) = -s(f) - 6*z(f). Factor b(k).
-2*(k - 1)**2*(k + 1)**3
Find p such that 0 - 2*p**3 - p + 5/2*p**2 + 1/2*p**4 = 0.
0, 1, 2
Let n be 2 + 1 + -15 + 2. Let k = n - -10. Factor 0*m**2 + 1/4*m**5 + 1/4*m**3 + 0 + k*m + 1/2*m**4.
m**3*(m + 1)**2/4
Let z = 15140/11 + -1376. Solve 2/11*m**5 - 6/11*m**3 - 8/11*m**2 + 8/11*m + 0 + z*m**4 = 0 for m.
-2, 0, 1
Let p = 3 - 7. Let u be p/(-3)*(-3)/(-2). Factor -2*o**5 + u*o**3 + 2*o**2 - 2*o**4 - 3*o**3 + 3*o**3.
-2*o**2*(o - 1)*(o + 1)**2
Let g be 5/(5/(-10) + 3). Factor -2*v**4 + 18/5*v**3 + 4/5*v + 0 - 14/5*v**g + 2/5*v**5.
2*v*(v - 2)*(v - 1)**3/5
Let u(a) be the third derivative of a**7/140 - 3*a**6/80 - a**5/20 + 3*a**4/4 - 2*a**3 - 3*a**2. Factor u(j).
3*(j - 2)**2*(j - 1)*(j + 2)/2
Suppose 0 = -2*p - 4*p + 24. Let j(b) be the second derivative of 2/3*b**2 + 1/9*b**3 + 0 - b - 2/9*b**p - 1/10*b**5. Factor j(i).
-2*(i + 1)**2*(3*i - 2)/3
Let g(i) = 10*i - 3. Suppose 6 = 4*t + 4*q - 2, -4*t + 5*q = -8. Let s be g(t). Determine k so that 16*k**3 + 0*k**5 - 2*k**4 - k**5 - s*k**3 = 0.
-1, 0
Let x be ((-44)/(-231))/((-4)/(-6)). Determine j, given that -4/7*j + 2/7 + x*j**2 = 0.
1
Let c be ((-1)/(-1)*-2)/(11 - 12). Let -49/5*y**4 + 0 + 0*y - 4/5*y**c + 28/5*y**3 = 0. What is y?
0, 2/7
Find y such that -4/3 - 5/3*y**2 + 8/3*y + 1/3*y**3 = 0.
1, 2
Let t(w) be the third derivative of w**6/252 + w**5/420 + w**3/6 + 7*w**2. Let s(u) be the first derivative of t(u). Factor s(k).
2*k*(5*k + 1)/7
Suppose 0 + 2/3*c**2 + 2/3*c**3 - 4/9*c**4 - 4/9*c = 0. What is c?
-1, 0, 1/2, 2
Let f(g) be the third derivative of -2/5*g**5 + 0*g - g**2 + 0 + 2/15*g**6 - 5/8*g**4 - 1/3*g**3. Factor f(b).
(b - 2)*(4*b + 1)**2
Let c(h) be the first derivative of -5*h**4 + 15*h**3 - 5*h**2 - 2. Factor c(r).
-5*r*(r - 2)*(4*r - 1)
Suppose 12*h - 3*h = 0. Suppose h + 2/9*w - 2/9*w**2 = 0. What is w?
0, 1
Find h such that 0*h**2 - 6/5 + 9/5*h - 3/5*h**3 = 0.
-2, 1
Suppose -5 = -2*a + 5. Let q(o) be the first derivative of 0*o + 0*o**2 - 1/24*o**6 - 1/8*o**4 + 0*o**3 + 3/20*o**a + 4. Factor q(i).
-i**3*(i - 2)*(i - 1)/4
Let v(f) = -f**4 - 4*f**3 + 6*f**2 - 4*f - 1. Let o(x) = -x**4 - 3*x**3 + 5*x**2 - 3*x - 1. Let b(t) = -4*o(t) + 3*v(t). Factor b(c).
(c - 1)**2*(c + 1)**2
Let q(c) = -c**2 + 4*c + 1. Let u(p) = -15*p**2 + 55*p + 15. Let d(y) = -55*q(y) + 4*u(y). Determine h, given that d(h) = 0.
-1, 1
Let g(b) = 12*b**4 - 28*b**3 + 27*b**2 - 13*b + 6. Let c(n) = 36*n**4 - 85*n**3 + 82*n**2 - 