3 - 1/4*g**4 + 0*g**f. Factor r(v).
-3*v*(v - 2)
Let i(m) be the third derivative of m**8/2688 + m**7/840 - m**5/240 - m**4/192 + 8*m**2. Factor i(y).
y*(y - 1)*(y + 1)**3/8
Suppose -2*p + 8 = 0, 0 = n + 4*n - 5*p + 10. Find j, given that 20 + 7*j**3 - 60*j**n + 20*j**4 - 4 + 5*j**3 + 16*j - 4*j**3 = 0.
-2, -2/5, 1
Let z be (-1)/(-2) + (-2)/4. Let i = 433 + -430. Factor -3/2*g - 3/4*g**i - 9/4*g**2 + z.
-3*g*(g + 1)*(g + 2)/4
Let v = 1 + 2. Factor -3*p**5 + p**5 - 3*p**v + 5*p**5.
3*p**3*(p - 1)*(p + 1)
Let h(d) be the second derivative of -1/33*d**3 + 1/66*d**4 - d + 0*d**2 + 0. Factor h(t).
2*t*(t - 1)/11
Let j(w) = 8*w**2 - 48*w + 40. Let p(l) = -4*l**2 + 24*l - 20. Let d(z) = 2*j(z) + 5*p(z). Factor d(r).
-4*(r - 5)*(r - 1)
Let w(s) be the third derivative of 0 + 0*s + 0*s**4 - 7/360*s**6 + 0*s**3 - 6*s**2 + 1/126*s**7 + 1/90*s**5. Suppose w(d) = 0. Calculate d.
0, 2/5, 1
Let a(d) be the third derivative of -d**9/37800 + d**7/3150 - d**5/300 - d**4/12 - 4*d**2. Let x(b) be the second derivative of a(b). What is o in x(o) = 0?
-1, 1
Let v = 6 + -4. Factor 6*z - 6*z + 2*z**3 + v*z**2.
2*z**2*(z + 1)
Let u(v) be the first derivative of v**5/25 + v**4/5 + v**3/3 + v**2/5 - 9. Factor u(j).
j*(j + 1)**2*(j + 2)/5
Let r be 17/((-17)/(-6)) - 1. Let u(y) be the second derivative of -r*y + 0 + 0*y**3 + 0*y**2 + 1/48*y**4. Factor u(z).
z**2/4
Suppose 1/5*o**2 + 0*o + 0 + 1/5*o**4 - 2/5*o**3 = 0. Calculate o.
0, 1
Let q(g) be the second derivative of g**7/21 - 4*g**6/15 + 3*g**5/5 - 2*g**4/3 + g**3/3 + 15*g. Solve q(h) = 0 for h.
0, 1
Find d such that -42*d**2 - 3*d**2 - 5*d**4 - 82*d**3 + 52*d**3 = 0.
-3, 0
Let v(r) be the third derivative of r**5/60 - r**4/6 - 6*r**2. Factor v(l).
l*(l - 4)
Let p(q) be the first derivative of -q**6/180 - q**5/30 - q**4/12 - q**3 - 2. Let x(f) be the third derivative of p(f). Factor x(a).
-2*(a + 1)**2
Let z(q) be the third derivative of -q**8/7560 - q**7/1890 - q**3/2 + 4*q**2. Let n(g) be the first derivative of z(g). Determine w, given that n(w) = 0.
-2, 0
Suppose -1/7*h + 2/7*h**2 - 1/7*h**3 + 0 = 0. Calculate h.
0, 1
Let z = 7 - 3. Suppose -2*k + 5*j = 11 + 5, 5*k - 30 = -5*j. Factor -2*p**z + 2 + p**3 + p**3 - k.
-2*p**3*(p - 1)
Let n(z) be the third derivative of -1/8*z**4 + 0 - 1/20*z**5 + 3*z**2 - 1/6*z**3 - 1/120*z**6 + 0*z. Factor n(h).
-(h + 1)**3
Let p(y) = -7*y + 42. Let q be p(6). Factor q*t - 2/9*t**4 + 0*t**3 + 0 + 2/9*t**2.
-2*t**2*(t - 1)*(t + 1)/9
Let k be (((-96)/20)/6)/(-1). Factor 2/5*i**4 + 18/5*i**2 - 2*i**3 + k - 14/5*i.
2*(i - 2)*(i - 1)**3/5
Let z(w) be the third derivative of w**10/8400 - w**9/1440 + w**8/630 - w**7/630 + w**5/10 - 6*w**2. Let q(u) be the third derivative of z(u). Factor q(g).
2*g*(g - 1)*(3*g - 2)**2
Factor 1/3*u**2 - 1/3*u + 0.
u*(u - 1)/3
Let i(u) be the second derivative of -u**6/75 - u**5/25 - u**4/30 + 11*u. Suppose i(y) = 0. Calculate y.
-1, 0
Let q(z) = 2*z - 7. Let k be q(6). Let r = k - 5. Factor -2/3*p**5 + 8/3*p**2 - 4*p**3 + 8/3*p**4 - 2/3*p + r.
-2*p*(p - 1)**4/3
Let a(p) be the first derivative of p**5/10 - 7*p**4/8 + 5*p**3/2 - 9*p**2/4 - 18. Let a(r) = 0. Calculate r.
0, 1, 3
Let o(f) be the third derivative of -2*f**7/105 + f**5/15 - 8*f**2. Suppose o(w) = 0. What is w?
-1, 0, 1
Let b = 97 - 283. Let o = b - -1304/7. Solve 88/7*q**3 - 128*q**5 - 928/7*q**4 + 122/7*q**2 - o*q - 4/7 = 0.
-1, -2/7, -1/4, 1/4
Let g(p) = 9 - 3*p**2 - 2*p**2 - 3*p**2 - p**3 + 0*p**3 - 6*p. Let d be g(-7). Determine u, given that 0*u - 5*u**2 + 4*u**d - u + 3*u - 1 = 0.
1
Let h(n) be the third derivative of n**6/720 - n**4/48 - n**3/6 + 3*n**2. Let r(k) be the first derivative of h(k). Find w, given that r(w) = 0.
-1, 1
Suppose -12 + 4 = d. Let p = d + 8. Determine c so that p*c + 2/5 - 2/5*c**2 = 0.
-1, 1
Factor 6*v + v - v - 2 - 4*v**2 + 0*v**2.
-2*(v - 1)*(2*v - 1)
Let h(l) be the second derivative of l**5/20 - 2*l**4/3 + 8*l**3/3 - 21*l. Suppose h(o) = 0. What is o?
0, 4
Let l(x) = -x**2 + x. Let t be l(0). Let g(d) be the third derivative of t - 2/3*d**3 - 1/30*d**5 + 1/4*d**4 + 0*d + d**2. Suppose g(h) = 0. Calculate h.
1, 2
Let u(p) be the third derivative of -1/28*p**4 + 0*p + p**2 - 1/105*p**5 + 1/210*p**6 + 1/1176*p**8 + 0 + 1/245*p**7 - 1/21*p**3. Factor u(l).
2*(l - 1)*(l + 1)**4/7
Let o = 4/21 - -5/84. Solve o*l**2 - 1/4*l**3 + 0*l + 0 = 0.
0, 1
Suppose 0 = -4*z + 5 + 3. Suppose 4*f - 3*f - f**z + f + 3 = 0. What is f?
-1, 3
Let u(c) = 7*c**3 - 1. Let q be u(1). Let g = 3 - 2. Let -2*v + 3 + g - v**3 + 5*v**2 - q*v = 0. Calculate v.
1, 2
Let x(l) be the third derivative of 0*l**4 - 1/270*l**5 + 2*l**2 + 0*l**3 + 0*l + 0. Factor x(v).
-2*v**2/9
Let c(n) = -n**2 - 11*n - 5. Let h be c(-10). Suppose -4*a + h + 3 = 0. Factor -1/2*b**a - 1/2*b**3 + 1/2 + 1/2*b.
-(b - 1)*(b + 1)**2/2
Let k(d) = 5*d**3 + 20*d**2 - 23*d - 2. Let p(v) = 3*v**3 + 13*v**2 - 15*v - 1. Let j(m) = 5*k(m) - 8*p(m). Determine n so that j(n) = 0.
1, 2
Let b(c) = c**3 + 9*c**2 + 9*c + 10. Let z be b(-8). Find k such that 5*k**2 - k + k**2 + 5*k + 0*k**z = 0.
-2/3, 0
Let x(f) be the third derivative of f**5/60 + f**4/12 + f**3/6 - 7*f**2. Determine q, given that x(q) = 0.
-1
Let u = 163/38 + -4183/76. Let i = u + 51. Factor 1/4*o - 1/2 + i*o**2.
(o - 1)*(o + 2)/4
Suppose 4*g - 64 = -56. Factor -4/3 - 2*j - 2/3*j**g.
-2*(j + 1)*(j + 2)/3
Let i(h) = 6*h**2 + 3*h - 3. Let r(f) = -f**2 + 10*f - 3. Let q be r(10). Let l(v) = -11*v**2 - 5*v + 6. Let x(u) = q*l(u) - 5*i(u). Solve x(o) = 0 for o.
-1, 1
Let u(p) be the third derivative of p**6/120 - p**5/12 - p**4/12 - 3*p**2. Let g(d) = -9*d**3 + 51*d**2 + 21*d. Let v(c) = -2*g(c) - 21*u(c). Factor v(t).
-3*t**2*(t - 1)
Let j = 8305/24 + -346. Let h(a) be the second derivative of 0*a**3 + 0*a**2 + 0 + 2*a + j*a**4. Factor h(v).
v**2/2
Solve -5*t + 5 - 25/4*t**3 - 65/4*t**2 = 0.
-2, -1, 2/5
Let y(w) be the second derivative of 0 - 1/6*w**3 + 0*w**4 - w - 1/60*w**6 + 1/4*w**2 + 1/20*w**5. Factor y(d).
-(d - 1)**3*(d + 1)/2
Factor 6*d - 1 - 2 + 10*d**2 - 4*d**2 - 9*d**2.
-3*(d - 1)**2
Let h(p) be the third derivative of 5*p**8/336 + 2*p**7/35 + p**6/20 - p**5/15 - p**4/8 - 26*p**2. Suppose h(b) = 0. Calculate b.
-1, 0, 3/5
Let y be 40/12 + 2/(-6). Suppose 6*s + 8*s**3 - 3 - 5*s**3 + y*s**2 - 7*s - 2*s = 0. Calculate s.
-1, 1
Let b(l) = 10*l - 6. Let j be b(1). Let k(t) be the third derivative of 2*t**2 + 1/60*t**j + 0*t**3 + 0*t + 0 + 1/150*t**5. Determine w so that k(w) = 0.
-1, 0
Let b(y) be the first derivative of -1/8*y**2 - 1 + 1/3*y**3 + 0*y + 1/5*y**5 - 3/8*y**4 - 1/24*y**6. Suppose b(w) = 0. Calculate w.
0, 1
Let y(z) be the first derivative of 2*z**5/5 + z**4/2 + 2. Solve y(u) = 0.
-1, 0
Suppose -3*d = -0*d - 9. Factor f + 2*f**3 - 2 - 2*f - f**4 - f + d.
-(f - 1)**3*(f + 1)
Let t(k) be the second derivative of 6*k + 0*k**2 - 1/2*k**3 - 3/20*k**5 + 0 + 1/2*k**4. Suppose t(j) = 0. What is j?
0, 1
Factor 4*w**2 - 6 - 2 + 2*w - 2*w**3 + 4.
-2*(w - 2)*(w - 1)*(w + 1)
Factor 0 - 6/7*m**2 - 4/7*m.
-2*m*(3*m + 2)/7
Suppose 2*c - 18 = -5*j, 0 = 2*c - 4 - 4. Let k be (3/(-2))/(6/(-8)). Suppose -3*s**j - s**2 - s**2 + 3*s**k - 7*s**4 - 9*s**3 = 0. Calculate s.
-1, -2/7, 0
Let g be (-2)/(-7) - (1 + -1). Let d = -1 + 3. Solve 4/7*x - g*x**d - 2/7 = 0 for x.
1
Let b(k) = -k**2 - k + 3. Suppose -2*n = 2*n. Let z be b(n). Factor -3/2*a**4 - a - 4*a**z - 7/2*a**2 + 0.
-a*(a + 1)**2*(3*a + 2)/2
Let w be (-2)/(-4)*(-234)/(-65). Factor -3/5 - w*n**2 - 12/5*n.
-3*(n + 1)*(3*n + 1)/5
Let g(r) be the second derivative of r**4/54 + 2*r**3/9 + r**2 - 3*r. Let g(y) = 0. Calculate y.
-3
Let a(b) = -6*b**2 - 10*b. Suppose 5*j + 15 = 4*u + 4*j, -3*u - 4*j = 3. Let l(q) = -2*q**2 - 3*q. Let i(c) = u*a(c) - 10*l(c). Factor i(w).
2*w**2
Suppose -q - 2 = -2*x + 11, 0 = 3*x + 3*q - 33. Suppose -3*m + m = 4*b - 8, x = 2*m - 2*b. Let 0 + 0*v**2 - 7/2*v**5 + 0*v + 9/2*v**m - v**3 = 0. Calculate v.
0, 2/7, 1
Let n(m) be the second derivative of -1/15*m**4 - 1/105*m**7 - 1/25*m**5 - 1/5*m**2 + 0 + 1/25*m**6 - 2*m + 1/5*m**3. Suppose n(c) = 0. Calculate c.
-1, 1
Suppose 0 = -h - 14 + 16. What is z in 3/2 - 9/2*z + 3*z**h = 0?
1/2, 1
Let l be (-10)/(-5) - (5 + -2 - 3). Let z(v) be the first derivative of -4/5*v + 3/5*v**l - 2/15*v**3 + 2. Factor z(d).
-2*(d - 2)*(d - 1)/5
Let o = -7 - -