 f(a) be the third derivative of p(a). Factor f(s).
s**3*(s - 1)*(s + 1)
Let x(t) = -7*t - 1. Let u be x(-1). Suppose v - 3*p + 8 = 2*v, v + 8 = 5*p. Suppose 5*h**2 + v*h**3 - u*h**2 + 2*h + 5*h**2 = 0. Calculate h.
-1, 0
Let r be (-11)/(-12) + 3/(-12). Let q(z) be the first derivative of -7/9*z**3 - 5/6*z**2 + 2 + r*z. Factor q(y).
-(y + 1)*(7*y - 2)/3
Let g(r) = r**4 - r**3 - r**2 - r. Let m(i) = 6*i**4 - 15*i**3 + 28*i**2 - 45*i + 16. Let h(k) = -5*g(k) + m(k). What is s in h(s) = 0?
1, 4
Let r(q) be the first derivative of q**3/15 + q**2/10 - 2*q/5 - 3. Suppose r(x) = 0. Calculate x.
-2, 1
Let g(d) be the first derivative of -1/3*d**3 - 1/2*d**2 + 0*d - 1. Suppose g(b) = 0. What is b?
-1, 0
Let x(g) = 4*g**2 + 0*g**2 - 2*g**2. Let i(f) = -3*f**2 - 3*f - 2. Let r(s) = 2*i(s) + 2*x(s). Factor r(n).
-2*(n + 1)*(n + 2)
Let w(t) be the second derivative of t**7/420 - t**6/90 - t**3/6 - 2*t. Let c(r) be the second derivative of w(r). Find b such that c(b) = 0.
0, 2
Let o = 287 - 647. Let m be (-1)/4 + (-250)/o. Factor -m*v - 2/9*v**3 - 2/3*v**2 + 0.
-2*v*(v + 1)*(v + 2)/9
Let i(n) = n + 9. Let j be i(-6). Let u(s) be the first derivative of 0*s**2 + 0*s + 1 + 1/25*s**5 - 1/20*s**4 + 0*s**j. Factor u(y).
y**3*(y - 1)/5
Let h(k) be the third derivative of -k**5/140 - 3*k**4/28 - 9*k**3/14 + 2*k**2. Let h(m) = 0. What is m?
-3
Let h be 0*(3/2 + 3 + -4). Let c(y) be the second derivative of -1/9*y**3 + h*y**4 + 1/30*y**5 + 0*y**2 + 0 - 3*y. Let c(g) = 0. Calculate g.
-1, 0, 1
Let z(r) = -2*r**2 - 5 - 6*r**2 + 4*r**3 - 8*r - 4 + 3*r**2. Let w(c) = 3*c**3 - 5*c**2 - 8*c - 8. Let m(l) = 5*w(l) - 4*z(l). Factor m(u).
-(u + 1)*(u + 2)**2
Let f = -185 + 185. Let b(n) be the third derivative of 0*n + 2*n**2 + f*n**6 + 1/70*n**7 + 0*n**4 + 1/2*n**3 + 0 - 1/10*n**5. Let b(h) = 0. What is h?
-1, 1
Suppose 0 = -m + 3 - 0. Let p(g) = g**3 - g**2 - g + 1. Let x(r) = 2*r**4 - r**3 - 5*r**2 + r + 3. Let y(c) = m*p(c) - x(c). Solve y(n) = 0 for n.
-1, 0, 1, 2
Let h(u) be the second derivative of u**4/6 + 2*u**3/3 + u**2 - 29*u. Determine l, given that h(l) = 0.
-1
Let b(t) be the third derivative of -t**7/630 - t**6/90 - t**5/36 - t**4/36 + 2*t**2. Solve b(i) = 0.
-2, -1, 0
Suppose 33/2*h**2 - 3/2*h**3 - 33/2*h + 9/2 - 3*h**4 = 0. What is h?
-3, 1/2, 1
Let q(f) = f**3 - 2*f**2 + 4*f - 3. Let i be q(3). Suppose -i*g = -16*g. Suppose 4/7*p**2 + g*p - 2/7*p**4 - 2/7 + 0*p**3 = 0. What is p?
-1, 1
Let o(z) = -15*z**2 + 40*z - 16. Let q(t) = -60*t**2 + 160*t - 65. Let g(c) = 15*o(c) - 4*q(c). Determine i so that g(i) = 0.
2/3, 2
Suppose -4*d + 60 - 60 = 0. Suppose -3/5*u**3 + d*u**2 + 0*u + 3*u**4 + 0 - 12/5*u**5 = 0. Calculate u.
0, 1/4, 1
Suppose -3*g - 2*g**3 + 4*g**3 + g**3 = 0. Calculate g.
-1, 0, 1
Let q(g) be the third derivative of g**7/630 + g**6/1080 - g**5/90 - g**4/72 - g**3/2 + g**2. Let w(x) be the first derivative of q(x). Solve w(a) = 0.
-1, -1/4, 1
Let r(l) = 2*l**4 - 4*l**3 + 2*l**2 - 4. Let h(z) = -5*z**4 + 9*z**3 - 3*z**2 + z + 9. Let n(c) = -4*h(c) - 9*r(c). Factor n(f).
2*f*(f - 2)*(f + 1)**2
Let s(u) be the first derivative of 28*u**2 - 1 - 16*u - 44/3*u**3 + 5/2*u**4. Factor s(l).
2*(l - 2)**2*(5*l - 2)
Let d be (-5 - -4) + (-17)/4. Let y = d + 6. Solve 3*s + 3 + y*s**2 = 0.
-2
Let q(w) = -w**3 + 2*w**2 + 3. Let j be q(2). Let v(g) be the first derivative of 0*g**j + 0*g**2 - 1/8*g**4 + 0*g**5 + 1/12*g**6 + 0*g - 4. Factor v(c).
c**3*(c - 1)*(c + 1)/2
Solve -4/7*v + 6/7*v**2 + 0 = 0.
0, 2/3
Let i(a) be the second derivative of a**5/45 - 2*a**3/27 + 23*a. Factor i(u).
4*u*(u - 1)*(u + 1)/9
Let l be (-2)/(3/6 - 0). Let b = 7 + l. Find p such that 0 + 37*p**3 + 48*p**2 - 5*p**b + 18*p + 2 = 0.
-1, -1/4
Let o(n) = n**3 + 7*n**2 - 10*n - 4. Let f be (24/10)/((-3)/10). Let c be o(f). Factor 3*b**4 + 12*b + c*b**3 + 8*b**2 + 10*b**2 + 1 + 2.
3*(b + 1)**4
Let v(y) be the third derivative of -y**7/84 - y**6/24 + 5*y**4/24 + 5*y**3/12 - 3*y**2. Factor v(k).
-5*(k - 1)*(k + 1)**3/2
Let n be (3 - 3)/(16/4). Let f(w) be the first derivative of -2 + 1/2*w**2 + n*w + 1/3*w**3. Suppose f(b) = 0. What is b?
-1, 0
Let w(h) be the first derivative of -3*h**5/5 - 3*h**4 - 3*h**3 + 6*h**2 + 12*h - 52. Factor w(p).
-3*(p - 1)*(p + 1)*(p + 2)**2
Let d(z) be the third derivative of z**8/504 - z**7/315 - z**6/60 + z**5/18 - z**4/18 + 9*z**2. Suppose d(x) = 0. Calculate x.
-2, 0, 1
Let w be (1/12)/((-1)/(-4)). Let g(p) be the first derivative of 0*p + 2 + 1/5*p**5 - w*p**3 + 1/4*p**2 + 0*p**4 - 1/12*p**6. Factor g(l).
-l*(l - 1)**3*(l + 1)/2
Let u be 1/1 - (-6 + -10). Let l = u + -13. Factor -2/3*t**5 + 14/3*t**2 + 10/3*t**l - 6*t**3 - 4/3*t + 0.
-2*t*(t - 2)*(t - 1)**3/3
Let d(j) be the third derivative of -j**8/588 + 4*j**7/245 - 3*j**6/70 + 4*j**5/105 + 29*j**2. Suppose d(f) = 0. Calculate f.
0, 1, 4
Suppose 16 - 4 = 4*l. Let a(d) = -l*d**2 + 0*d + 3*d - 6*d. Let o(c) = -4*c**2 - 4*c. Let j(x) = 5*a(x) - 4*o(x). Factor j(i).
i*(i + 1)
Let z be (-4 + 3)*0*1. Let x(t) be the second derivative of 0*t**2 + z + 4*t - 1/24*t**4 + 1/12*t**3. Solve x(q) = 0.
0, 1
Determine f, given that -3*f + f**2 + 13*f**2 - 8*f**2 - 3*f**2 = 0.
0, 1
Let g = -12 - -15. Let z(h) be the second derivative of 0 + 1/42*h**4 - 2*h + 1/7*h**2 + 2/21*h**g. Suppose z(j) = 0. What is j?
-1
Let w(s) be the third derivative of s**5/180 - s**4/18 + 2*s**3/9 - 3*s**2. Factor w(u).
(u - 2)**2/3
Let j(w) be the second derivative of 0 - 1/10*w**6 - 1/2*w**3 + 3/20*w**5 + 0*w**2 + 1/4*w**4 + w. Factor j(m).
-3*m*(m - 1)**2*(m + 1)
Let p(g) be the second derivative of -g**9/13608 + g**7/1890 - g**5/540 - g**3 - 7*g. Let c(m) be the second derivative of p(m). Let c(q) = 0. What is q?
-1, 0, 1
Let q be ((-7)/(-21))/((-1)/(-159)). Factor q*p**2 - 53*p**2 + 3*p**5.
3*p**5
Let d = 765 - 765. Solve 1/2*f**4 + f**3 - 1/2 + d*f**2 - f = 0.
-1, 1
Let i be 13/(-7) - 5*24/(-40). Suppose -i*c - 8/7 - 2/7*c**2 = 0. Calculate c.
-2
Factor 1/2*r**3 - r + 0 + 1/2*r**2.
r*(r - 1)*(r + 2)/2
Suppose -2*u - 11*u = -26. Factor 1/3*s**3 - 2/3*s**u + 0 + 0*s.
s**2*(s - 2)/3
Let u(m) be the third derivative of m**6/30 + 4*m**5/3 + 50*m**4/3 - 9*m**2. Factor u(s).
4*s*(s + 10)**2
Let d(c) = 3*c**5 - 9*c**4 - 6*c**3 + 24*c**2 - 24*c + 3. Let o(h) = -6*h**5 + 17*h**4 + 12*h**3 - 48*h**2 + 47*h - 7. Let t(k) = -5*d(k) - 3*o(k). Factor t(g).
3*(g - 1)**4*(g + 2)
Let j(o) = o - 1. Let p be j(3). Let q(f) be the first derivative of 3 + 0*f + 0*f**3 + 1/5*f**5 - 1/4*f**4 + 0*f**p. Factor q(l).
l**3*(l - 1)
Find k such that 4/7*k - 5/7 + 1/7*k**2 = 0.
-5, 1
Suppose 2*j = 6*j + 20, 2*a - 5*j - 33 = 0. Find i, given that -i**2 - 2*i**5 - i**5 + i**2 - 3*i**a = 0.
-1, 0
Let x(v) = 4*v**2 + 6*v + 7. Let u(l) = l**2 - 8*l + 6. Let w be u(4). Let m(y) = -y**2 - y - 1. Let s(z) = w*m(z) - 2*x(z). Factor s(k).
2*(k - 2)*(k + 1)
Suppose -6*k = 1 - 19. Suppose 9/2*c - k*c**2 + 3 - 9/2*c**3 = 0. What is c?
-1, -2/3, 1
Suppose l = -4 + 5. Let z(f) = 2*f**4 - 4*f**3 + 8*f**2 - 4*f - 2. Let w(q) = -q**3 - q**2 + q + 1. Let b = 2 - 0. Let u(a) = b*w(a) + l*z(a). Factor u(n).
2*n*(n - 1)**3
Let y(m) be the second derivative of -m**4/12 + 2*m**3/3 - 2*m**2 - 4*m. Factor y(p).
-(p - 2)**2
Let j(q) be the third derivative of q**8/168 - q**7/105 - q**6/60 + q**5/30 + 5*q**2. Find x such that j(x) = 0.
-1, 0, 1
Let b(h) be the first derivative of -h**6/30 + h**4/5 + 2*h**3/15 - 3*h**2/10 - 2*h/5 - 6. Factor b(s).
-(s - 2)*(s - 1)*(s + 1)**3/5
Let r = -324 - -324. Factor d**2 + 0 + r*d + 5/2*d**3 + 2*d**4 + 1/2*d**5.
d**2*(d + 1)**2*(d + 2)/2
Let l(z) be the second derivative of z**3 + 0 - 4*z + 0*z**2 - 1/6*z**4. Let l(h) = 0. What is h?
0, 3
Factor 4/5 + 6/5*d**2 + 9/5*d + 1/5*d**3.
(d + 1)**2*(d + 4)/5
Let g be 6/(-8)*14/(-21). Let t(q) be the first derivative of 0*q + 3 + 3/8*q**4 + 0*q**2 + g*q**3. Solve t(h) = 0 for h.
-1, 0
Let g(i) be the first derivative of -i**3/18 + i/6 + 5. Find u such that g(u) = 0.
-1, 1
Solve 11*u + 7*u**4 - 15*u**3 - 10*u**2 - 2*u**4 + 5*u**2 + 4*u = 0 for u.
-1, 0, 1, 3
Let t be (12/(-32))/(3/(-2)). Factor 0 - t*s - 3/4*s**2.
-s*(3*s + 1)/4
Let x be (-4)/(-2) + (-26 - -26). Find j, given that -3/2*j**x + 3/2*j**4 + 3/2*j**3 - 3/2*j + 0 = 0.
-1, 0, 1
Let 2/7*t**4 + 0 + 0*t - 1/7*t**5 + 0*t**3 + 0*t**2 = 0. Calculate t.
0, 2
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