ive of m**8/1680 - m**7/840 + 5*m**3/6 - 5*m. Let x(s) be the second derivative of u(s). Factor x(w).
w**3*(w - 1)
Let u(y) be the third derivative of 0*y**3 + 1/70*y**7 - 3*y**2 - 1/120*y**6 - 1/72*y**4 - 1/36*y**5 + 0 + 0*y. Let u(c) = 0. What is c?
-1/3, 0, 1
Let j = 466/3 + -154. Find w, given that w**5 - 4/3*w**2 - j*w - 14/3*w**4 + 0 + 19/3*w**3 = 0.
-1/3, 0, 1, 2
Let b(a) be the first derivative of -a**7/420 + a**5/60 - 4*a**3/3 + 2. Let v(p) be the third derivative of b(p). What is c in v(c) = 0?
-1, 0, 1
Let d(m) be the third derivative of m**7/5040 + m**6/1440 + m**4/24 - 2*m**2. Let z(l) be the second derivative of d(l). What is a in z(a) = 0?
-1, 0
Let p(h) = h**3 - h**2 - 2*h - 4. Let d be p(3). Let g = -74 + 76. Find c, given that -4*c**2 + 6*c**2 - 16 + d*c - 32*c - g*c**3 - 14*c**2 = 0.
-2
Let d = 338/475 + -12/19. Let g(n) be the first derivative of 0*n**3 - d*n**5 + 0*n**2 - 2 + 0*n + 0*n**4. Solve g(x) = 0.
0
Find u such that 0 + 0*u - 15/2*u**5 + 25/2*u**4 + 0*u**2 - 5*u**3 = 0.
0, 2/3, 1
Let b = 14 - 13. Let j(x) be the first derivative of 0*x - 1/4*x**2 + 1/6*x**3 - b. What is y in j(y) = 0?
0, 1
Let c(v) be the second derivative of -2*v**6/5 - 14*v**5/5 - 23*v**4/3 - 32*v**3/3 - 8*v**2 - 10*v. Suppose c(b) = 0. What is b?
-2, -1, -2/3
Let l(k) = 2*k**2. Let p(d) = d**2 + 2*d - 1. Let b be p(-2). Let n(j) = -4 + 0 + 4 - j**2. Let h(r) = b*l(r) - 3*n(r). Determine q so that h(q) = 0.
0
Let s(d) be the second derivative of 33*d**5/40 + 19*d**4/12 + d**3/4 - d**2/2 - d - 9. Factor s(o).
(o + 1)*(3*o + 1)*(11*o - 2)/2
Let k(j) be the first derivative of j**6/600 - j**5/300 + 4*j**3/3 + 4. Let w(n) be the third derivative of k(n). Factor w(a).
a*(3*a - 2)/5
Let o(d) be the third derivative of 225*d**8/112 + 3*d**7/7 - 19*d**6/5 + 12*d**5/25 + 18*d**4/5 - 16*d**3/5 - 14*d**2. Factor o(p).
3*(3*p + 2)**2*(5*p - 2)**3/5
Let w(p) be the third derivative of 0*p - 1/105*p**7 + 1/60*p**5 - 2*p**2 + 5/48*p**4 + 1/6*p**3 - 1/60*p**6 + 0 - 1/672*p**8. Find d such that w(d) = 0.
-2, -1, 1
Let p = -325 - -976/3. Factor -4/3*g + 0 + g**3 + 0*g**2 + p*g**4.
g*(g - 1)*(g + 2)**2/3
Suppose 26 = 5*x - 0*p + 3*p, 4*x + 5*p - 13 = 0. Let u = 10 - x. Let 22*y**2 + 4*y + 0*y**4 - 12*y**4 - 30*y**4 + 16*y**u = 0. What is y?
-1/3, -2/7, 0, 1
Let q(z) be the second derivative of z**5/5 + 5*z**4/3 + 14*z**3/3 + 6*z**2 + 4*z. Factor q(j).
4*(j + 1)**2*(j + 3)
Let g be ((-2)/3)/(2/(-9)). Factor -3*v - 2*v**4 + g*v + 2*v**2 + 0*v.
-2*v**2*(v - 1)*(v + 1)
Let 1/6*p**2 - 1/2*p - 2/3 = 0. Calculate p.
-1, 4
Let l = -23 + 38. Factor -z**3 + 3*z**3 + l*z + 12*z**2 + z**3 + 6.
3*(z + 1)**2*(z + 2)
Let d(u) be the third derivative of 0*u**3 + 0*u + 1/135*u**5 - u**2 + 7/540*u**6 + 0 + 0*u**4 + 1/504*u**8 + 8/945*u**7. Let d(c) = 0. What is c?
-1, -2/3, 0
Let v = 3 + 1. Let j(g) = 9*g**4 - 2*g**3 - 11*g**2. Let t(u) = 5*u**4 - u**3 - 6*u**2. Let x(d) = v*j(d) - 7*t(d). Find z, given that x(z) = 0.
-1, 0, 2
Let o(r) be the third derivative of 3*r**6/160 - r**5/80 + 20*r**2. Factor o(a).
3*a**2*(3*a - 1)/4
Let l be 45/(-135) - (-11)/6. Factor -l*k**4 + 3/2*k**2 + 3*k + 0 - 3*k**3.
-3*k*(k - 1)*(k + 1)*(k + 2)/2
Suppose -5*r = 0, 2*y + 6 = 4*y - 5*r. Factor -3*m + 3*m**3 - y + 0*m**3 + 4*m**2 + m**2 - 2*m**2.
3*(m - 1)*(m + 1)**2
Let n be (2/4)/(2/12). Suppose 0 = -3*m + 3*b + 12, 5*m - n*b = -2*b + 24. Find a such that 2*a + 4 + 4*a + 4*a**2 + m*a - a = 0.
-2, -1/2
Let y = 27 - 15. Factor -2*p**5 + y*p**5 - 3*p**4 - 7*p**5.
3*p**4*(p - 1)
Let q(a) be the second derivative of -1/6*a**4 - 1/10*a**5 + 0 + 2/3*a**3 + 0*a**2 - 2*a. Factor q(o).
-2*o*(o - 1)*(o + 2)
Let z(u) be the second derivative of -2/3*u**3 + 0*u**2 - 1/6*u**4 + 3*u + 0 + 3/10*u**5. Factor z(c).
2*c*(c - 1)*(3*c + 2)
Let f(i) be the second derivative of i**6/480 + i**5/240 + i**2/2 - 5*i. Let t(s) be the first derivative of f(s). Solve t(z) = 0 for z.
-1, 0
Let n(q) be the first derivative of -3*q**5/20 + 3*q**4/4 - 5*q**3/4 + 3*q**2/4 - 1. Let n(z) = 0. Calculate z.
0, 1, 2
Factor -12 - 2*q**3 - 7*q**3 + 3*q**3 - 4*q**2 + 2*q**3 + 20*q.
-4*(q - 1)**2*(q + 3)
Let y(s) be the third derivative of s**7/98 - 13*s**6/280 + 9*s**5/140 + s**4/56 - s**3/7 + 10*s**2. Suppose y(z) = 0. What is z?
-2/5, 1
Let m be (-79)/(-252) - (-8)/(-28). Let u(i) be the second derivative of 0*i**2 + m*i**4 + i + 0*i**3 + 0. Factor u(f).
f**2/3
Suppose 5*z = 2*z + 6. Factor 6*w + w**z + 3 + 0 + 0*w**2 + 2*w**2.
3*(w + 1)**2
Factor -20*p**4 + 37*p**4 + 3*p**3 + 26*p**4 - 6*p**2 + 20*p**4.
3*p**2*(3*p + 1)*(7*p - 2)
Let z(w) = -w**2 - 9*w + 5. Let x be z(-9). Suppose 2*u - 5*d + 16 = 0, x*u = -4*d - 15 + 41. Factor -1/2*g + g**3 - 1/2*g**u + 0.
g*(g - 1)*(2*g + 1)/2
Let b(g) = -4*g**2 - 9*g - 7. Let r(w) = w**2 + 3*w + 2. Let h(s) = -6*b(s) - 21*r(s). Determine n so that h(n) = 0.
0, 3
Let p(g) be the third derivative of 169*g**6/24 - 13*g**5/3 + 5*g**4/6 - 4*g**2. Factor p(w).
5*w*(13*w - 2)**2
Let r(d) be the third derivative of -d**6/30 - d**5/5 + d**4/6 + 2*d**3 - 4*d**2 - 2*d. Let r(h) = 0. What is h?
-3, -1, 1
Factor 8*x**5 + 2*x**4 + 8*x**3 - 4*x**2 - 7*x**4 - 7*x**5.
x**2*(x - 2)**2*(x - 1)
Let 2*k**5 + 12*k + 10*k**2 + 17*k**2 + 34*k**3 + 14*k**4 - 15*k**2 + 22*k**2 = 0. What is k?
-3, -2, -1, 0
Let n(h) be the second derivative of -h**4/30 + 7*h**3/15 - 6*h**2/5 + 29*h. Let n(r) = 0. Calculate r.
1, 6
Let r(a) be the first derivative of -a**6/27 - 14*a**5/45 - a**4 - 40*a**3/27 - 8*a**2/9 + 6. Suppose r(z) = 0. What is z?
-2, -1, 0
Let n(o) be the third derivative of -o**6/660 - o**5/66 - 7*o**4/132 - o**3/11 + 2*o**2. Factor n(x).
-2*(x + 1)**2*(x + 3)/11
Determine y, given that 2/3*y**2 + 0 + 2/3*y**4 + 4/3*y**3 + 0*y = 0.
-1, 0
Let m be -2*(-39)/20 - 3. Let a = m + -17/30. Factor 1/3*f**4 + 1/3*f**5 - 1/3*f**3 + 0*f - a*f**2 + 0.
f**2*(f - 1)*(f + 1)**2/3
Let a(l) be the third derivative of -l**5/15 - l**4/3 - 2*l**3/3 + 8*l**2. Determine d so that a(d) = 0.
-1
Let u(k) = -3*k**2 - 18*k - 22. Let a(m) = 6*m**2 + 36*m + 45. Suppose -4*o - 15 = -3*r, r - 3*o + 4*o = 5. Let w(x) = r*a(x) + 9*u(x). Factor w(v).
3*(v + 3)**2
Let h be 819/28 - 6/(-8). Let g be h/18 + 1/(-1). Determine r, given that 0*r**3 + 0*r - 1/3*r**4 + g*r**2 - 1/3 = 0.
-1, 1
Let t(r) be the first derivative of -r**3/3 - 3*r**2/2 - 4. Determine y, given that t(y) = 0.
-3, 0
Let v(c) = 17*c**5 + 5*c**4 - 9*c**3 + 13*c**2 - 13*c + 13. Let j(q) = 4*q**5 + q**4 - 2*q**3 + 3*q**2 - 3*q + 3. Let m(h) = 26*j(h) - 6*v(h). Factor m(b).
2*b**3*(b - 1)**2
Let g = 16931/21 - 807. Let c = -3/7 - g. Factor -2/3 + a**2 + c*a.
(a + 1)*(3*a - 2)/3
Let g(b) be the second derivative of -b**7/21 - 2*b**6/5 - 7*b**5/5 - 8*b**4/3 - 3*b**3 - 2*b**2 - 7*b. Factor g(y).
-2*(y + 1)**4*(y + 2)
Suppose 7*y = 5*y. Suppose y = -h - 7 + 10. Factor 2/5*c**h - 2/5*c**2 + 2/5*c**4 - 2/5*c + 0.
2*c*(c - 1)*(c + 1)**2/5
Let d(q) be the second derivative of 1/84*q**4 + 1/42*q**3 + 0 + 2*q - 1/7*q**2. Factor d(t).
(t - 1)*(t + 2)/7
Let b = 94 + -92. Suppose -2/3*n + 0 + 3*n**3 + 7/3*n**b = 0. Calculate n.
-1, 0, 2/9
Let d(h) = -h**3 + 8*h**2 + h - 6. Let a be d(8). Factor 1 - a*u + 0*u - u**2 + 0 + 2*u**2.
(u - 1)**2
Let r(d) = -8*d**4 - 20*d**3 + 24*d + 8. Let n(a) = -25*a**4 - 60*a**3 + a**2 + 71*a + 24. Let t(f) = 4*n(f) - 11*r(f). Let t(s) = 0. Calculate s.
-1, -2/3, 1
Let z(a) = 11*a**2 - 35*a - 5. Let v(i) = -5*i**2 + 17*i + 2. Let w(h) = -5*v(h) - 2*z(h). Factor w(j).
3*j*(j - 5)
Suppose 5*o - 8 = 3*o. Suppose k - o = -k. Find y such that -8/7 - 50/7*y**4 + 22/7*y**k - 24/7*y + 60/7*y**3 = 0.
-2/5, 1
Let o(t) be the third derivative of t**8/1680 + t**7/420 + t**6/360 - t**4/8 + t**2. Let v(b) be the second derivative of o(b). Factor v(f).
2*f*(f + 1)*(2*f + 1)
Suppose -k = 8*q - 3*q - 44, 5*q + 4*k - 56 = 0. Let f(i) = -i + 10. Let z be f(q). Factor -1/4*a**z + 1/4*a + 0.
-a*(a - 1)/4
Suppose 3 = -6*r + 3. Let a(q) be the third derivative of 0*q**4 + 1/336*q**8 - 1/105*q**7 + 0 - q**2 + 0*q**5 + r*q + 1/120*q**6 + 0*q**3. Factor a(x).
x**3*(x - 1)**2
Let l be (1 + 3 - 1) + -3. Suppose l = -4*q + 2*b - 3*b + 9, 2*q = -2*b + 6. Factor 0 + 8/11*o**q - 2/11*o.
2*o*(4*o - 1)/11
Let x be (-1)/(-4 - (-28)/8). Let z(w) be the first derivative of 14/45*w**5 - 2/9*w**x - 14/27*w**3 