tor 108/7*y**2 + 162/7 + 2/7*y**4 - 216/7*y - s*y**3.
2*(y - 3)**4/7
Solve -2/11*y**2 + 2/11*y**3 + 2/11*y**4 + 0 - 2/11*y = 0.
-1, 0, 1
Let s(y) = -y**2 + 2*y**2 + 0*y**2 + 0*y**2. Let d(c) = c**3 - 9*c**2 + 3*c - 1. Let l(f) = d(f) + 6*s(f). Suppose l(p) = 0. Calculate p.
1
Let v be 12/27*(-4 + (-643)/(-160)). Let u(a) be the second derivative of 0*a**3 + 1/80*a**5 - 1/168*a**7 + 0 + 0*a**2 + a - 1/48*a**4 + v*a**6. Factor u(l).
-l**2*(l - 1)**2*(l + 1)/4
Let l(x) be the third derivative of x**7/7560 - x**5/360 + x**4/4 - 3*x**2. Let g(t) be the second derivative of l(t). Factor g(s).
(s - 1)*(s + 1)/3
Suppose 8/5 + 12/5*t**2 + 28/5*t = 0. Calculate t.
-2, -1/3
Factor -32/13*y - 2/13*y**5 - 48/13*y**2 - 2/13*y**3 + 0 + 12/13*y**4.
-2*y*(y - 4)**2*(y + 1)**2/13
Let n(k) be the second derivative of 0 - 3*k + 1/9*k**2 + 2/27*k**3 + 1/54*k**4. Suppose n(i) = 0. Calculate i.
-1
Let d(k) = k**2 + 2*k + 1. Let u(n) = n + 1. Let t(z) = -d(z) + u(z). Factor t(g).
-g*(g + 1)
Suppose 5*f - 7*f + 12 = 0. Factor 8*b - 4*b**2 + f*b + 0 - 8 - 2*b.
-4*(b - 2)*(b - 1)
Suppose 8*j**3 + 7*j**2 - 12*j**3 + 9*j**3 + 2*j = 0. What is j?
-1, -2/5, 0
Let a(f) be the third derivative of -f**5/40 - 7*f**4/16 - 5*f**3/2 + 33*f**2. Factor a(i).
-3*(i + 2)*(i + 5)/2
Suppose -13 = 2*o + 3*n, -o - 5*n - 20 = 2*o. Let d be -3*(3 + -2) - o. Factor -d*t**3 - 4/5*t**2 + 0*t + 0.
-2*t**2*(5*t + 2)/5
Let c(v) = 12*v + 0*v + 13*v**3 - 13*v - 9*v**2. Let s(l) = -l + 2. Let t be s(4). Let i(x) = -12*x**3 + 8*x**2 + 2*x. Let g(z) = t*c(z) - 3*i(z). Factor g(p).
2*p*(p - 1)*(5*p + 2)
Suppose 2 = f, 4*k - 4*f = -2*f + 4. Let q be (-2)/k + -2 + 5. Suppose 0*b + 2/5 - 2/5*b**q = 0. Calculate b.
-1, 1
Let r be 1 - (-16 + 0 + 0). Suppose -7 = 2*x - r. Solve -3/4*j**x + 9/4*j + 3/2*j**2 - 3/2*j**3 - 9/4*j**4 + 3/4 = 0.
-1, 1
Let y(c) = -c**4 + c**3 + c. Suppose 0 = 4*f - 9*f - 5. Let s(q) = 7*q**4 - 12*q**3 + 9*q**2 - 10*q + 1. Let k(x) = f*s(x) - 5*y(x). Factor k(p).
-(p - 1)**3*(2*p - 1)
Let m(y) be the second derivative of -y**6/210 + 3*y**5/35 - 23*y**4/42 + 10*y**3/7 - 25*y**2/14 - 22*y. Factor m(c).
-(c - 5)**2*(c - 1)**2/7
Factor 0*y - 1/2*y**2 + 0.
-y**2/2
Let q be 598/30 + 8/20. Let x = 21 - q. Factor x*j**4 + 4/3*j**3 + 2/3*j**2 + 0*j + 0.
2*j**2*(j + 1)**2/3
Let p(s) be the second derivative of 0 - 1/168*s**7 + 0*s**5 - s + 0*s**3 + 0*s**2 - 1/120*s**6 + 0*s**4. What is z in p(z) = 0?
-1, 0
Let u(i) be the second derivative of -i**8/112 + i**6/40 - i**2 - 7*i. Let d(m) be the first derivative of u(m). Solve d(k) = 0 for k.
-1, 0, 1
Let q(n) = n**5 - n**2. Let m(k) = -k**5 - 9*k**4 - 6*k**3 - 2*k**2. Let c(o) = -m(o) + 2*q(o). Factor c(f).
3*f**3*(f + 1)*(f + 2)
Let 1 + 5 - 3*z**2 + 2*z + z = 0. Calculate z.
-1, 2
Let i(f) be the third derivative of -f**7/210 + f**6/60 + f**5/20 - 51*f**2. Factor i(r).
-r**2*(r - 3)*(r + 1)
Let x(u) be the first derivative of u**4/12 - u**3/3 + 3. Factor x(l).
l**2*(l - 3)/3
Suppose 0 = -2*p - p. Suppose p = -5*y + y. Determine u, given that 0*u - 2/3*u**4 + 2/3*u**3 + 0 + y*u**2 = 0.
0, 1
Let s(g) be the first derivative of g**4/5 + g**3/15 - 8*g**2/5 - 4*g/5 + 4. Factor s(z).
(z - 2)*(z + 2)*(4*z + 1)/5
Let a = 22 - 22. Let w(k) be the second derivative of a*k**3 - 1/75*k**6 - 1/50*k**5 + 1/30*k**4 + 1/105*k**7 + 0 + 0*k**2 + k. Factor w(y).
2*y**2*(y - 1)**2*(y + 1)/5
Let w(a) be the second derivative of -a**4/28 + 3*a**3/14 - 3*a**2/7 - 20*a. Suppose w(f) = 0. What is f?
1, 2
Let i(b) be the first derivative of b**6/21 + 2*b**5/35 - b**4/14 - 2*b**3/21 + 6. Solve i(h) = 0 for h.
-1, 0, 1
Suppose 0 = -0*c - c + 3. Let l(a) be the third derivative of -1/6*a**c - 1/20*a**5 + 0*a + a**2 + 0 + 1/6*a**4. Factor l(i).
-(i - 1)*(3*i - 1)
Let s(p) = p**3 - 11*p**2 + 14*p - 40. Let l be s(10). Factor 0*j**2 + 0 + l*j + 2/9*j**3 + 2/9*j**4.
2*j**3*(j + 1)/9
Suppose -1 - 2/3*w**4 - 1/3*w + 3*w**2 - w**3 = 0. Calculate w.
-3, -1/2, 1
Suppose 0*w - 2/7*w**2 - 6/7*w**3 - 2/7*w**5 - 6/7*w**4 + 0 = 0. Calculate w.
-1, 0
Let i(g) be the second derivative of g**6/39 - 4*g**5/65 + g**4/78 + 2*g**3/39 - 4*g. Find q such that i(q) = 0.
-2/5, 0, 1
Let k(b) = 52*b**3 - 25*b**2 + b - 3. Let h(z) = 207*z**3 - 101*z**2 + 5*z - 11. Let q(m) = 6*h(m) - 22*k(m). Factor q(n).
2*n*(7*n - 2)**2
Let b be 2/(-5) + 34/85. Let n(k) be the third derivative of -1/30*k**5 - 3*k**2 + 0*k + b + 1/6*k**4 - 1/3*k**3. Find q such that n(q) = 0.
1
Let j be -2 + 3/(-3) + 17/3. Find u, given that 0 + 0*u - 14/3*u**4 - 4/3*u**3 - j*u**5 + 2/3*u**2 = 0.
-1, 0, 1/4
Let h be ((-150)/(-24))/(14/8). Let k = h - 61/21. Factor 1/3 + 1/3*d**2 + k*d.
(d + 1)**2/3
Let j(f) be the second derivative of -1/30*f**4 - 1/15*f**3 + 10*f + 0 + 2/5*f**2. Let j(o) = 0. What is o?
-2, 1
Let u(m) be the third derivative of -m**7/7560 + m**5/360 - m**4/12 + m**2. Let c(k) be the second derivative of u(k). Solve c(s) = 0.
-1, 1
Suppose 5*h - 442 = 3*i - 13, 0 = -5*h - 2*i + 439. Let a be h/84 - (-12)/(-16). Factor -a*p**2 + 4/7*p + 0.
-2*p*(p - 2)/7
Solve -r**5 - 9/5*r**3 + 0*r - 2/5*r**2 - 12/5*r**4 + 0 = 0 for r.
-1, -2/5, 0
Let d(m) be the second derivative of m**5/20 + m**4/4 - 2*m**3/3 - 3*m**2/2 - 2*m. Let j be d(-2). Factor 0 - j*i + 2 + 4 + 3*i**2.
3*(i - 2)*(i - 1)
Let n(k) be the third derivative of k**7/14 - k**6/6 - k**5/6 + 5*k**4/6 - 5*k**3/6 + 13*k**2. Factor n(d).
5*(d - 1)**2*(d + 1)*(3*d - 1)
Suppose f + 2*f - 4*r = -22, 5*f + 60 = -5*r. Let u be 3/(-4)*f/15. Suppose -1/4*c - u*c**2 + 0 - 1/4*c**3 = 0. Calculate c.
-1, 0
Let p(j) be the third derivative of j**5/30 - j**4/12 + 3*j**2. Factor p(i).
2*i*(i - 1)
Suppose 2*b + 5*n + 12 = -5, 0 = -2*b - n + 3. Factor -36*c + 13*c**2 - 12 - 3*c**4 + 2*c**4 - 18*c**3 - 52*c**2 - 2*c**b.
-3*(c + 1)**2*(c + 2)**2
Suppose -4*m = -m. Let s = -46/39 + 24/13. Find k such that m*k - s*k**2 + 2/3 = 0.
-1, 1
Suppose -8/11*l + 0*l**3 + 2/11*l**4 - 18/11*l**2 + 24/11 = 0. What is l?
-2, 1, 3
Factor 6/13*s**2 - 2/13*s**3 - 8/13 + 0*s.
-2*(s - 2)**2*(s + 1)/13
Factor -10 - 22/5*s**2 - 2/5*s**3 - 14*s.
-2*(s + 1)*(s + 5)**2/5
Let g(p) be the first derivative of 0*p + 0*p**3 + 0*p**5 - 2 + 0*p**2 + 1/9*p**6 - 1/6*p**4. Solve g(y) = 0.
-1, 0, 1
Let c = -1242 + 2485/2. Factor -c*k - 1/2*k**2 + 1.
-(k - 1)*(k + 2)/2
Let n(u) = -u**3 + 2*u**2 - 1. Let g be n(1). Let r = g - -2. Suppose 2*j**2 + 2 - 5*j**r + j**2 = 0. Calculate j.
-1, 1
Suppose -4*x + 28 = -4*g, 0 = 3*x - 0*x + 5*g + 3. Suppose x*z - z = 0. Solve -1/4*q**3 + z*q + 0 - 1/2*q**2 = 0 for q.
-2, 0
Let s(n) be the first derivative of -4*n + 2/3*n**3 - n**2 - 6. Factor s(a).
2*(a - 2)*(a + 1)
Let u be -1 + 2/11 + 1. Suppose -8*a - 709 = -733. Factor -6/11*d**a + 0 - 2/11*d**5 - u*d**2 + 0*d - 6/11*d**4.
-2*d**2*(d + 1)**3/11
Let s(m) = m**4 + m**3 + m**2 + m + 1. Let x(c) = 7*c**4 + 9*c**3 + 6*c**2 + 2*c + 6. Let f(h) = 6*s(h) - x(h). Solve f(w) = 0.
-2, 0, 1
Let t(o) be the first derivative of 6 + 3/14*o**4 + 1/42*o**6 + 4/35*o**5 + 0*o + 1/14*o**2 + 4/21*o**3. Factor t(b).
b*(b + 1)**4/7
Let d be 6/1 + (-96)/18. Factor -10/3*y**2 + 0 + d*y.
-2*y*(5*y - 1)/3
Let i(m) be the first derivative of -1/20*m**5 + 0*m**4 - 1/4*m + 1/6*m**3 + 4 + 0*m**2. Determine t so that i(t) = 0.
-1, 1
Let i(d) = -d**2 - 8*d - 12. Let a be i(-5). Let t(w) be the third derivative of -1/30*w**5 + 0 - 1/3*w**a + 0*w + 2*w**2 - 1/6*w**4. Factor t(b).
-2*(b + 1)**2
Let t(g) be the first derivative of -g**3/18 + g**2/12 + g/3 + 3. Let t(p) = 0. What is p?
-1, 2
Let x be 66/10 - (-32)/80. Suppose 2*q = 5*n, 5*q = -2*n - 0*q + 29. Find d such that x - 2*d**4 + 4*d**3 - 7 - n*d**2 = 0.
0, 1
Let s(g) = g**3 + 2*g - 1. Let u = 3 - 2. Let c be s(u). Solve -7*r + 4*r**c - 6 + 0 + 4 = 0 for r.
-1/4, 2
Let m(k) be the third derivative of -k**5/60 - k**4/12 - k**3/6 + 4*k**2. Solve m(a) = 0 for a.
-1
Let s(i) = -i**2 - 5*i - 1. Let j(w) = -w. Let a(l) = -3*j(l) + s(l). Factor a(y).
-(y + 1)**2
Let w(g) = 228*g**2 - 196*g - 24. Let z(f) = -76*f**2 + 65*f + 8. Let o(m) = 3*w(m) + 8*z(m). Find t, given that o(t) = 0.
-2/19, 1
Determine o so that -2*o + 3/2*o**2 - 1/4*o**4 + 3/4 + 0*o**3 = 0.
-3, 1
Factor -2/11*k**4 + 0*k**3 + 0*k + 0*k**2 + 2/11*k**5 + 0.
2*k**4*(k - 1)/11
Let d(t) be the second derivative of -t**4/12 + 2*t**3/3 + 7*t**2/2 - 2*t.