2 - 1/4*p**4 + 1/2*p**3 + z*p + 0.
-p**2*(p - 1)**2/4
Factor 48/5*m + 6/5*m**5 - 24/5 - 6/5*m**2 - 6*m**3 + 6/5*m**4.
6*(m - 1)**3*(m + 2)**2/5
Let q(o) = -o**2 + 4. Let t(l) be the third derivative of -l**5/20 + 11*l**3/6 + 4*l**2. Let n(i) = 11*q(i) - 4*t(i). Determine z so that n(z) = 0.
0
Let j be (-8)/18*12/(-56). Let u = j - -4/7. Factor -2/3*d**2 + 0 - u*d.
-2*d*(d + 1)/3
Let g = -13 - -16. Let p be 1 + (g - 4) + 0. Factor -2/11*c**2 + 2/11*c**4 + 2/11*c**3 - 2/11*c + p.
2*c*(c - 1)*(c + 1)**2/11
Let c(w) be the third derivative of -w**8/36960 + w**6/3960 - w**4/12 - 3*w**2. Let p(f) be the second derivative of c(f). Suppose p(t) = 0. Calculate t.
-1, 0, 1
Let i(r) be the third derivative of 2*r**7/35 + r**6/40 - r**5/5 - r**4/8 + 5*r**2. Factor i(p).
3*p*(p - 1)*(p + 1)*(4*p + 1)
Let q(a) = 2*a**2 - 2*a + 2. Let r be q(2). Let h be 16/r*15/10. Solve 2*p - 2*p**4 + 5*p**2 - 5*p**h - p - p**3 + 4*p**4 - 2 = 0 for p.
-1, 2/3, 1
Let g(y) be the third derivative of -y**9/6048 - y**8/1120 - y**7/560 - y**6/720 - y**4/24 - 2*y**2. Let x(u) be the second derivative of g(u). Factor x(i).
-i*(i + 1)**2*(5*i + 2)/2
Let j = -205 + 209. Let y(q) be the first derivative of 1/5*q**5 - 1/3*q**3 + 0*q**j + 0*q**2 + 0*q + 5. What is f in y(f) = 0?
-1, 0, 1
Solve -4*j**2 + 4*j**2 - j**2 + 18*j + 4*j**2 + 15 = 0 for j.
-5, -1
Let j(w) be the first derivative of 3*w + 2 + 1/6*w**3 - 1/12*w**4 + 0*w**2. Let f(d) be the first derivative of j(d). Factor f(i).
-i*(i - 1)
Let v be (-1 - (-12)/(-8)) + 3 + 1. Factor v - 21/4*s + 27/4*s**2 + 3/4*s**4 - 15/4*s**3.
3*(s - 2)*(s - 1)**3/4
Factor -4/7*s**2 - 32/7 - 24/7*s.
-4*(s + 2)*(s + 4)/7
Factor -9/7*z**5 - 2/7 - 46/7*z**3 - 1/7*z + 24/7*z**2 + 34/7*z**4.
-(z - 1)**4*(9*z + 2)/7
Let f(y) be the second derivative of y**7/252 - y**6/180 - y**5/30 + y**4/18 + 19*y. Factor f(d).
d**2*(d - 2)*(d - 1)*(d + 2)/6
Let m(q) be the first derivative of -q**9/1008 + q**8/420 - q**7/840 + 4*q**3/3 - 4. Let a(s) be the third derivative of m(s). Factor a(k).
-k**3*(k - 1)*(3*k - 1)
Let x(o) = -2*o**3 + 4*o**2 + 2*o - 4. Let m(k) = -4*k**3 + 7*k**2 + 5*k - 8. Let y(a) = -4*m(a) + 7*x(a). Factor y(d).
2*(d - 1)**2*(d + 2)
Let c(l) be the second derivative of -7*l**7/36 + 28*l**6/9 - 101*l**5/6 + 230*l**4/9 + 400*l**3/9 + 64*l**2/3 - 8*l. Factor c(h).
-(h - 4)**3*(7*h + 2)**2/6
Suppose -5*x = 2 + 3, 3*k - 1 = -5*x. Let p(v) be the first derivative of 2/7*v + 0*v**4 + 0*v**k + 1 + 2/35*v**5 - 4/21*v**3. Let p(a) = 0. Calculate a.
-1, 1
Let a(q) be the third derivative of q**8/168 - 2*q**7/105 + q**5/15 - q**4/12 - 5*q**2. Factor a(i).
2*i*(i - 1)**3*(i + 1)
Let h(o) = -o**2 + 9. Let i be h(-3). Factor 0 + i*a**2 - 2/3*a + 2/3*a**3.
2*a*(a - 1)*(a + 1)/3
Let q(w) be the first derivative of w**5 + 15*w**4/4 - 25*w**3/3 - 15*w**2/2 + 20*w + 49. Find u, given that q(u) = 0.
-4, -1, 1
Let y(h) be the second derivative of h**7/252 + h**6/90 - h**4/36 - h**3/36 + 4*h. Find w, given that y(w) = 0.
-1, 0, 1
Suppose 3 = 2*o - o. Suppose 0 = o*q - 10 - 5. Solve 2*p**5 + 0*p**5 + 3*p**3 + p**q - 6*p**4 = 0.
0, 1
Let j(g) be the second derivative of g**7/7560 - g**6/720 + g**5/180 + g**4/3 - 3*g. Let k(r) be the third derivative of j(r). Factor k(v).
(v - 2)*(v - 1)/3
Let y(z) be the third derivative of -z**8/672 - z**7/420 + z**6/120 + z**5/60 - z**4/48 - z**3/12 + 4*z**2. Let y(s) = 0. Calculate s.
-1, 1
Let c(b) be the first derivative of -b**3 - 2 - 3/2*b**4 - b**5 + 0*b - 1/4*b**2 - 1/4*b**6. Factor c(a).
-a*(a + 1)**3*(3*a + 1)/2
Let z be (-14 - -2)/(-4) - -2. What is w in 2*w**2 + 6*w**2 - z*w**2 + 9*w - 12 = 0?
-4, 1
Let u = 225 - 88. Let f = 977/7 - u. Solve -2/7 - f*r**2 + 12/7*r + 8/7*r**3 = 0 for r.
1/4, 1
Let q(n) = -n**4 + n**3 + n. Let a(m) = -2*m**4 + 10*m**3 - 2*m**2 - 2*m. Let t(b) = a(b) - 4*q(b). Find p such that t(p) = 0.
-3, -1, 0, 1
Let r be ((-12)/14)/(3*(-3)/9). Let -10/7*b**2 + 4/7 - r*b = 0. Calculate b.
-1, 2/5
Let s = 33 - 29. Let j(c) be the second derivative of -1/7*c**2 + 0 + 1/21*c**3 + 1/42*c**s - c - 1/70*c**5. Factor j(w).
-2*(w - 1)**2*(w + 1)/7
Let r = 1 - -1. Suppose x - 4 + 5 = 4*d, d + r = x. Factor b**x + 4*b - b - 4*b.
b*(b - 1)*(b + 1)
Let c = -1031/12 - -86. Let b(z) be the first derivative of -3/8*z**4 - 1/6*z**3 + 0*z**2 + 0*z - 3/10*z**5 - c*z**6 + 3. Factor b(p).
-p**2*(p + 1)**3/2
Let z = -6/115 - -284/1035. Factor 0 + 0*q + 2/9*q**5 + 0*q**4 + 0*q**2 - z*q**3.
2*q**3*(q - 1)*(q + 1)/9
Let j(i) be the second derivative of -3*i + 5/28*i**4 + 0 + 3/7*i**2 - 1/2*i**3. Factor j(g).
3*(g - 1)*(5*g - 2)/7
Suppose -4*u - 2*f + 51 = -f, 0 = -u + 5*f + 39. Determine o so that 32*o**2 + 53*o + u - 5*o + 7 - 3 = 0.
-3/4
Let u(o) be the second derivative of 0 - 5*o + 0*o**2 - 1/12*o**4 + 1/3*o**3. Find c such that u(c) = 0.
0, 2
Let i(u) = 6*u**3 + 3*u**2 + 3. Let w(z) = z**3 - z**2 - z + 1. Let n(m) = -i(m) + 3*w(m). Suppose n(r) = 0. Calculate r.
-1, 0
Let w(k) be the second derivative of -1/12*k**3 - 1/4*k**2 + 1/40*k**5 + 0 - 3*k + 1/24*k**4. What is j in w(j) = 0?
-1, 1
Let t be -1*(2 - 1)/(-1). Let a(w) be the first derivative of -2 + 2*w**3 - 3*w - 3*w - t + 4*w - 2*w**2. Solve a(h) = 0.
-1/3, 1
Let w(x) = x**3 - 4*x**2 + 3*x + 4. Let k be w(2). Determine b so that -1/4*b + 0 + 1/4*b**k = 0.
0, 1
Let y(p) be the second derivative of -p**7/63 - 4*p**6/45 + p**5/30 + 2*p**4/9 + p. Suppose y(q) = 0. Calculate q.
-4, -1, 0, 1
Let v(l) = -l**3 + l**2 - l. Let h be v(0). Let x(i) be the second derivative of 0 - 1/10*i**5 - 3*i + 0*i**3 - 1/6*i**4 + h*i**2. Factor x(y).
-2*y**2*(y + 1)
Let d(a) be the first derivative of -2*a**5/45 + 5*a**4/18 - 2*a**3/3 + 7*a**2/9 - 4*a/9 + 2. Find o such that d(o) = 0.
1, 2
Let g = -43 - -49. Factor 1/4*b + 4*b**4 + 0 + 9/4*b**2 + g*b**3.
b*(b + 1)*(4*b + 1)**2/4
Let -63*i + 32*i**3 - 17*i - 85*i**2 - 20 - 57*i**3 = 0. What is i?
-2, -1, -2/5
Factor -1/4*z + 0*z**4 - 1/4*z**5 + 1/2*z**3 + 0 + 0*z**2.
-z*(z - 1)**2*(z + 1)**2/4
Let p(h) be the second derivative of 5*h**6/36 - 13*h**5/12 + 109*h**4/72 + 13*h**3/3 + 3*h**2 + 12*h. Factor p(q).
(q - 3)**2*(5*q + 2)**2/6
Let g(w) = w**3 - 7*w**2 + 9*w + 7. Let h be g(5). Suppose 8 + 3 = 2*t + 3*f, h*t - 4*f = 4. Factor 5/6*i**2 + 1/3*i + 2/3*i**3 + 0 + 1/6*i**t.
i*(i + 1)**2*(i + 2)/6
Let z be (1 - (-9)/(-3))/(-3). Factor 0*n - z*n**2 + 0 - 2/3*n**3.
-2*n**2*(n + 1)/3
Let c be 1/(-3) + (-39)/(-9). Suppose 6 = -2*i + c*i. Let l**2 - l**3 - 3*l**3 + 5*l**i = 0. What is l?
-1, 0
Let t(c) be the third derivative of -c**8/112 + c**7/10 - 11*c**6/40 + c**5/4 + 31*c**2. Factor t(a).
-3*a**2*(a - 5)*(a - 1)**2
Let n(y) be the third derivative of 0 + 1/20*y**6 + 1/3*y**5 + 0*y + 3*y**2 + 3/4*y**4 + 2/3*y**3. Suppose n(t) = 0. Calculate t.
-2, -1, -1/3
Suppose k = 5*x - k - 24, 5*k = -2*x - 2. Let f(r) = 2*r + 1. Let j be f(1). Suppose -4*w - w**j + x*w + w**4 = 0. What is w?
0, 1
Let r be (-12)/63*-369 + -1. Let u = r - 69. Factor u*a**4 - 2/7*a + 2/7*a**3 - 2/7*a**2 + 0.
2*a*(a - 1)*(a + 1)**2/7
Let p(r) be the first derivative of 4 - 1/6*r**3 + 0*r - 1/4*r**2. Determine u so that p(u) = 0.
-1, 0
Let t(z) = 2*z**3 + 4*z**2 + 2. Let d(g) = -2*g**3 - 4*g**2 + g - 3. Let m(u) = 2*d(u) + 3*t(u). Factor m(p).
2*p*(p + 1)**2
Let p(t) = -6*t**4 - 17*t**3 - 9*t**2 + 21*t + 8. Let c(s) = -12*s**4 - 35*s**3 - 17*s**2 + 43*s + 16. Let g(z) = -3*c(z) + 5*p(z). Factor g(r).
2*(r - 1)*(r + 2)**2*(3*r + 1)
Let x(b) = -5*b**4 - 5*b**3 + 16*b**2 + 16*b - 11. Let z(y) = -y**4 - y**3 + 3*y**2 + 3*y - 2. Let m(k) = 6*x(k) - 33*z(k). Factor m(s).
3*s*(s - 1)*(s + 1)**2
Suppose -4*s - 4 = -6*s. Let r(f) be the first derivative of 2/3*f**3 - 2*f - 2 - f**s + 1/2*f**4. Let r(n) = 0. Calculate n.
-1, 1
Factor 40*v + v**2 - 32*v - 16 - 2*v**2.
-(v - 4)**2
Let q be 2/(-4)*(-4 - 4). Let d(y) = 3*y**2 + 5*y + 2. Let i(a) = -10*a**2 - 16*a - 6. Let b(m) = q*i(m) + 14*d(m). Let b(s) = 0. What is s?
-2, -1
Let m(w) be the third derivative of -2*w**7/105 - w**6/3 - 37*w**5/15 - 10*w**4 - 24*w**3 + 27*w**2. Let m(d) = 0. Calculate d.
-3, -2
Let b(u) be the third derivative of u**7/420 - u**6/48 + u**5/60 + u**4/6 - 2*u**2 + 26*u. What is q in b(q) = 0?
-1, 0, 2, 4
Let l be (-285)/(-12)*(-2)/(-125). Let t = l + 1/50. Factor 4/5*g + t*g**2 + 2/5.
2*(g + 1)**2/5
Find