et p(y) = 0. Calculate y.
-1, 0, 1
Let m(i) be the third derivative of i**6/90 + i**5/5 + 3*i**4/2 + i**3/2 - 7*i**2. Let h(x) be the first derivative of m(x). Factor h(v).
4*(v + 3)**2
Let j(o) be the second derivative of -o**6/195 - 2*o**5/65 - 5*o**4/78 - 2*o**3/39 - 7*o. Factor j(m).
-2*m*(m + 1)**2*(m + 2)/13
Let h(k) be the second derivative of k**8/23520 - k**7/1260 + k**6/168 - 3*k**5/140 + 5*k**4/12 + 3*k. Let d(s) be the third derivative of h(s). Factor d(z).
2*(z - 3)**2*(z - 1)/7
Let 0 + 0*z + 3/8*z**2 - 3/8*z**3 = 0. Calculate z.
0, 1
Let d(x) be the third derivative of x**6/1080 + x**5/180 + x**4/72 - x**3/2 + 2*x**2. Let h(u) be the first derivative of d(u). Suppose h(l) = 0. Calculate l.
-1
Let q = -3005179/102 + 29463. Let v = 2/51 + q. Let 0*h - v + 1/2*h**2 = 0. Calculate h.
-1, 1
Let b(f) be the second derivative of f**5/5 + 2*f**4 - 2*f**3/3 - 12*f**2 - 29*f. Find c such that b(c) = 0.
-6, -1, 1
Let v(r) be the second derivative of 1/50*r**5 + 1/30*r**4 + 0 + 3*r - 1/15*r**3 - 1/5*r**2. Factor v(k).
2*(k - 1)*(k + 1)**2/5
Let a be 6/90*123 + -8. Factor 13/5*y**3 - 6/5*y**4 + 4/5*y + a*y**5 - 12/5*y**2 + 0.
y*(y - 2)**2*(y - 1)**2/5
Factor 21*a**4 + 22*a**2 - 28*a**3 + 4 - 2*a**5 + 10*a**2 - 18*a - 9*a**4.
-2*(a - 2)*(a - 1)**4
Let z(t) be the third derivative of t**5/180 - t**4/36 - 20*t**2. Factor z(q).
q*(q - 2)/3
Suppose -40*o + 10*o**2 + 30*o + 2*o**3 + 6 + 24*o = 0. Calculate o.
-3, -1
Let b be 3/(-3) + 4 + 355. Suppose 63*u**3 - b*u**5 - 16*u + 1142*u**5 + 46*u**3 + 23*u**3 + 980*u**4 - 80*u**2 = 0. Calculate u.
-1, -2/7, -1/4, 0, 2/7
Let x(d) be the third derivative of d**7/315 - d**6/60 + d**5/45 - 11*d**2. Factor x(r).
2*r**2*(r - 2)*(r - 1)/3
Let s(x) = -12*x**5 + 25*x**4 + 5*x**3 - 9*x - 9. Let h(k) = 3*k**5 - 6*k**4 - k**3 + 2*k + 2. Let f = 7 - -2. Let a(z) = f*h(z) + 2*s(z). Factor a(b).
b**3*(b - 1)*(3*b - 1)
Let k(p) be the third derivative of -1/120*p**6 - 1/60*p**5 + 1/210*p**7 + 1/336*p**8 + 0 + 0*p + 0*p**3 + 0*p**4 - 3*p**2. Find d, given that k(d) = 0.
-1, 0, 1
Let v(l) = -l**2 - l - 2. Let z(o) = -o - 1. Let a(u) = v(u) - 6*z(u). Let h be a(5). Factor 2/3*t**h - 2/3*t**3 + 0*t + 2/9*t**2 - 2/9*t**5 + 0.
-2*t**2*(t - 1)**3/9
Let g(s) be the first derivative of 25*s**4/4 + 35*s**3/3 + 5*s**2 + 17. Determine v so that g(v) = 0.
-1, -2/5, 0
Let k(p) = -3*p**2 - 5*p + 11. Let o(w) = -w**2 - 2*w + 4. Let h(x) = -4*k(x) + 11*o(x). Factor h(u).
u*(u - 2)
Factor 0*q - 1/3*q**5 + 0*q**2 + 0 + 0*q**3 + 2/3*q**4.
-q**4*(q - 2)/3
Suppose -16 = -4*r - 0. Determine v, given that -3*v - v + r*v + 3*v**2 + 9*v + 6 = 0.
-2, -1
Let l = -171/5 + 35. Let c(x) be the first derivative of 10/9*x**3 - 3/2*x**2 + 2/3*x + 1/3*x**4 - 4 - l*x**5 + 5/18*x**6. Factor c(q).
(q - 1)**3*(q + 1)*(5*q - 2)/3
Let q(r) = 17*r**3 - 7*r**3 - 10*r - 6 + 6*r**3. Let k(p) = -2*p**4 + p**4 - p**2 - 2*p - 1 + p. Let u(x) = 6*k(x) - q(x). Let u(n) = 0. Calculate n.
-2, -1, 0, 1/3
Suppose -3*t = -0*t. Suppose m - 4 = -t*m. Factor -a**3 - a - m*a**2 - 1 + 5*a - 2*a**5 + 5*a**4 - a**3.
-(a - 1)**3*(a + 1)*(2*a - 1)
Find p such that p**3 - 3*p**2 + p**3 - p**2 = 0.
0, 2
Let l be ((-22)/(-90))/1 - 51/(-255). Determine k, given that 0*k**2 - l - 2/9*k**3 + 2/3*k = 0.
-2, 1
Let u(h) be the third derivative of -h**7/3465 - h**6/3960 - h**4/24 + 2*h**2. Let w(y) be the second derivative of u(y). Factor w(c).
-2*c*(4*c + 1)/11
Let d(j) = 10*j**3 + 5*j**2 - 10*j - 5. Let o(k) = -k**2 + 1. Let f(a) = -2*d(a) - 6*o(a). Determine q, given that f(q) = 0.
-1, -1/5, 1
Let h(p) be the first derivative of 2*p**3/15 - 2*p/5 + 7. Let h(i) = 0. Calculate i.
-1, 1
Let u be (0 - -8) + 90/39. Determine h so that -46/13*h**2 + 8/13 + 32/13*h - 98/13*h**5 - u*h**3 + 238/13*h**4 = 0.
-2/7, 1
Let z be (-570)/(-1080) - (14/18 - 1). Let j(t) be the second derivative of -3*t**2 + 3*t + 0 - z*t**4 + 5/2*t**3. Factor j(o).
-3*(o - 1)*(3*o - 2)
Let w(s) be the third derivative of s**8/30240 + s**7/3780 - s**5/135 - s**4/12 - 7*s**2. Let c(r) be the second derivative of w(r). Let c(m) = 0. What is m?
-2, 1
Let t(n) be the first derivative of -15*n**5/4 + 45*n**4/2 - 46*n**3 + 36*n**2 - 12*n - 8. Factor t(w).
-3*(w - 2)**2*(5*w - 2)**2/4
Let k(f) = f**3 + 11*f**2 + 9*f - 6. Let l be 3/(((-42)/20)/7). Let o be k(l). Factor -y + 2*y**4 + 2*y**2 - y + 4*y**2 - 6*y**3 + 0*y**o.
2*y*(y - 1)**3
Suppose -s + 4*s + 9 = 0. Let o = -3 - s. Factor o + 1/2*p**2 + 1/2*p.
p*(p + 1)/2
Let g(l) be the first derivative of l**5/30 + l**4/12 + 3*l**2/2 - 4. Let o(d) be the second derivative of g(d). Factor o(x).
2*x*(x + 1)
Solve 0 + 0*t + 0*t**2 - 2/13*t**5 - 2/13*t**3 + 4/13*t**4 = 0 for t.
0, 1
Let f(t) be the first derivative of t**6/60 + t**5/30 + t**2 - 4. Let z(j) be the second derivative of f(j). What is b in z(b) = 0?
-1, 0
Suppose -15*t - t**3 + 10*t + 0*t + t + 4*t**2 = 0. What is t?
0, 2
Let b(f) = f**2 - 13*f + 6. Let x be b(13). Suppose 0 = 4*i + 4*q + x - 26, 6 = 2*i - 2*q. Factor 2/5*o**i + 8/5*o + 8/5*o**3 + 2/5 + 12/5*o**2.
2*(o + 1)**4/5
Let m(j) = j**3 + 7*j**2 + 4*j - 5. Let f be m(-6). Determine v so that -18*v**4 + f*v**5 - 2*v**2 + 12*v**3 - 2*v**5 + v**5 + 2*v**5 = 0.
0, 1/4, 1
Let r be (4*1/25)/(1/5). Determine v so that -2/5*v**2 - 2/5*v + r = 0.
-2, 1
Let p(w) = w**2 + 13*w + 3. Let q be p(-13). Suppose t + 6 = -2*v, 3*v + 8 = q*t - 1. Suppose -2/11*z**2 + t - 4/11*z = 0. Calculate z.
-2, 0
Let z(y) be the second derivative of y**5/150 - y**4/45 + y**3/45 + 9*y. Factor z(r).
2*r*(r - 1)**2/15
Let w = 307435 + -2769898/9. Let d = -331 - w. Determine b, given that 0*b - d*b**2 - 14/9*b**3 + 0 = 0.
-2/7, 0
Let -5*s + 20*s**3 + 7*s + 2*s + 28*s**2 + 4*s = 0. What is s?
-1, -2/5, 0
Suppose -4/3*q + 2 - 2/3*q**2 = 0. Calculate q.
-3, 1
Let y(f) be the third derivative of 0 + 11/60*f**5 + 2*f**2 - 1/12*f**4 + 0*f**3 + 0*f. Factor y(h).
h*(11*h - 2)
Let x(f) be the second derivative of 3*f**5/40 - 3*f**4/8 + 3*f**3/4 - 3*f**2/4 + 16*f. Factor x(z).
3*(z - 1)**3/2
Factor -24/7*r**3 + 0 - 6/7*r + 20/7*r**2 - 2/7*r**5 + 12/7*r**4.
-2*r*(r - 3)*(r - 1)**3/7
Let c(h) be the second derivative of h + 0*h**2 + 1/30*h**6 + 0*h**5 + 0*h**4 + 0*h**3 - 1/42*h**7 + 0. Determine j so that c(j) = 0.
0, 1
Let o be 8*(3/6)/1. Factor s**3 - 5*s + 0*s**3 + s**2 - s**o + 4*s.
-s*(s - 1)**2*(s + 1)
Factor 0*j + 0*j**4 + 0 + 0*j**3 + 0*j**2 - 2/9*j**5.
-2*j**5/9
Let y be ((-3)/2)/((-12)/16). Let j be 16/6 + 2/(-3). Solve j*o - o**2 - y*o**3 - 2*o**4 + 0*o**4 + 3*o**2 = 0.
-1, 0, 1
Let c(y) = -y**2 + 7*y - 2. Let b be c(5). Suppose -b = -3*q - w, 0 = 6*q - q - 4*w - 19. Factor 5/2*r**4 - 17/2*r**q + 21/2*r**2 + 1 - 11/2*r.
(r - 1)**3*(5*r - 2)/2
Let x(d) be the second derivative of -d**6/180 + d**4/12 + 7*d**3/6 + 2*d. Let a(r) be the second derivative of x(r). Let a(o) = 0. What is o?
-1, 1
Let h = 16 + 2. Let z be (h/12)/(3/4). Determine j, given that 2/3 + 2/3*j**z + 4/3*j = 0.
-1
Suppose -4*r + 20 = -u, -3*r + 25 = -3*u + 2*r. Let w(m) be the first derivative of -2*m**3 + 1/2*m**2 + 35/16*m**4 + u*m - 4. Factor w(l).
l*(5*l - 2)*(7*l - 2)/4
Let b be (-896)/11 + (-2)/11. Let k = b + 82. Suppose 4/11 + 14/11*c**3 - k*c**2 - 14/11*c = 0. What is c?
-1, 2/7, 1
Let u(g) be the second derivative of -g**5/200 - g**4/120 + g**3/12 - 3*g**2/20 - 2*g. Let u(v) = 0. Calculate v.
-3, 1
Suppose -2*l = 2*v + 54, -2*v - 2*v - 36 = l. Let z be (l/20)/(4/(-10)). Suppose 0 + 2/5*a + 6/5*a**z + 6/5*a**2 + 2/5*a**4 = 0. Calculate a.
-1, 0
Let k(d) be the second derivative of d**7/126 - 2*d**6/45 + d**5/15 + d**4/18 - 5*d**3/18 + d**2/3 + 4*d. Factor k(h).
(h - 2)*(h - 1)**3*(h + 1)/3
Solve -14*w**3 - 2*w**2 + 6*w**3 + 10*w**3 = 0.
0, 1
Let g(r) be the second derivative of r**5/110 - r**4/6 + 35*r**3/33 - 25*r**2/11 - 24*r. Solve g(c) = 0.
1, 5
Suppose r = -1 + 4. Suppose 2*q - q**r - 3*q**2 - 3 - 4*q + 3 = 0. Calculate q.
-2, -1, 0
Suppose 0 = 60*k - 55*k. Factor 3/5*i**3 - 9/5*i + k - 6/5*i**2.
3*i*(i - 3)*(i + 1)/5
Let y(d) be the first derivative of -1/27*d**6 - 10 + 0*d**2 + 8/27*d**3 + 0*d**4 - 2/15*d**5 + 0*d. Find f, given that y(f) = 0.
-2, 0, 1
Let v be (-64)/(-6) + -9 + (7 - 2). Factor 1/3 + v*z**2 - 17/6*z - 8/3*z**3.
-(z - 2)*(4*z - 1)**2/6
Let m(a) be the third derivative of -a**5/15 + 4*a**2. Factor 