+ 4)
Let u(i) be the second derivative of 0 + 25*i - 1/70*i**5 - 2/21*i**4 + 11/21*i**3 - 6/7*i**2. Suppose u(g) = 0. Calculate g.
-6, 1
Let b(k) be the third derivative of k**9/60480 - k**5/6 + 12*k**2. Let x(m) be the third derivative of b(m). Suppose x(p) = 0. Calculate p.
0
Let x(m) be the second derivative of 0*m**3 + 0 + 1/14*m**5 + 10*m - 1/21*m**4 - 1/35*m**6 + 0*m**2. Factor x(v).
-2*v**2*(v - 1)*(3*v - 2)/7
What is n in -40/3*n**3 + 608/15*n**2 - 2/15*n**5 - 896/15*n + 32/15*n**4 + 512/15 = 0?
2, 4
Let v(d) be the third derivative of -d**7/1120 + d**6/40 - 3*d**5/10 + 2*d**4 - 2*d**3 - 6*d**2. Let y(l) be the first derivative of v(l). Factor y(f).
-3*(f - 4)**3/4
Let z(t) be the third derivative of -6*t**7/7 - 13*t**6/2 - 193*t**5/12 - 65*t**4/6 - 10*t**3/3 - 16*t**2 - 7. What is y in z(y) = 0?
-2, -1/6
Let l be (-3 + 13 + -10)/((-1)/(-1)). Let d(y) be the first derivative of 1/6*y**3 + 3 - 1/8*y**4 + l*y + 0*y**2. Factor d(n).
-n**2*(n - 1)/2
Suppose 72*d = 84*d. Let a(s) be the second derivative of 1/3*s**3 + 0 - 1/10*s**5 + 6*s - 1/6*s**4 + d*s**2 + 1/15*s**6. Factor a(t).
2*t*(t - 1)**2*(t + 1)
Let l(v) be the first derivative of 4*v**6/15 - 7*v**5/10 - 5*v**4/6 + 2*v**3 - 16*v - 14. Let m(u) be the first derivative of l(u). Factor m(h).
2*h*(h - 2)*(h + 1)*(4*h - 3)
Let a(d) = d**2 + d + 1. Let b(q) = -q**4 + 7*q**3 - 2*q**2 - 10*q - 3. Let x(u) = 15*a(u) + 5*b(u). Factor x(m).
-5*m*(m - 7)*(m - 1)*(m + 1)
Let i = -36/13 + 2173/780. Let a(h) be the second derivative of i*h**5 - 1/18*h**4 - 6*h + 0 + 1/18*h**3 + 0*h**2. Determine j, given that a(j) = 0.
0, 1
Let z(k) be the second derivative of k**7/210 + k**6/30 + k**5/10 + k**4/6 + k**3/2 + 3*k. Let s(f) be the second derivative of z(f). Factor s(g).
4*(g + 1)**3
Suppose -4*w + 5 + 11 = 0. Let y be 28/286*5 + w/(-22). Determine m, given that -2/13*m**4 + 6/13*m**2 - y - 2/13*m + 2/13*m**3 = 0.
-1, 1, 2
Let x(g) = g**3 - 29*g**2 + 30*g - 51. Let n be x(28). Let p(c) be the first derivative of 0*c**2 + 0*c**4 - 3 + 4/9*c**3 - 2/15*c**n - 2/3*c. Factor p(b).
-2*(b - 1)**2*(b + 1)**2/3
Let q(w) = -w - 1. Let u be q(-2). Let x(a) = 7*a**3 + 4*a**2 - 7*a - 9. Let f(i) = i**3 + i**2 - i. Let h(m) = u*x(m) + 5*f(m). What is l in h(l) = 0?
-1, -3/4, 1
Let x(g) = -g. Let j(p) = -4*p - 4. Let f(l) = j(l) - 3*x(l). Let t be f(-6). Factor -3*a**3 - t*a**5 - 8*a**4 - a**5 + 2*a**4.
-3*a**3*(a + 1)**2
Solve 13*z**2 - 10*z**2 + 4800 + 185*z + 55*z = 0 for z.
-40
Let j(a) be the first derivative of 5*a**4/16 + 19*a**3/12 + 11*a**2/8 - 3*a/4 + 23. Factor j(u).
(u + 1)*(u + 3)*(5*u - 1)/4
Suppose d = -3*d + 3*d. Let m(c) be the third derivative of 0 - 1/120*c**6 - 4*c**2 - 1/210*c**7 + 0*c**4 + 0*c**3 + d*c**5 + 0*c. Suppose m(s) = 0. What is s?
-1, 0
Let m(w) = -w**2 - w - 7. Let a(l) = -14*l - 3. Let r(q) = 5*q + 1. Let j(x) = 6*a(x) + 17*r(x). Let s(p) = 6*j(p) - 2*m(p). Suppose s(o) = 0. What is o?
-2
Factor 21/5*u**4 + 3/5*u - 6/5 + 57/5*u**3 + 9*u**2.
3*(u + 1)**3*(7*u - 2)/5
Let u(z) be the third derivative of z**8/1680 + z**7/175 + z**6/120 - 124*z**2. Factor u(m).
m**3*(m + 1)*(m + 5)/5
Let y(g) = -4*g**2 + 104*g - 686. Let m(r) = 12*r**2 - 312*r + 2060. Let a(x) = 5*m(x) + 16*y(x). Factor a(t).
-4*(t - 13)**2
Let c(n) be the first derivative of -n**6/24 - 6*n**5/5 - 117*n**4/16 - 27*n**3/2 - 534. Find f, given that c(f) = 0.
-18, -3, 0
Suppose 0 - 1/2*o**2 - o = 0. Calculate o.
-2, 0
Let t = -20595 - -20598. Suppose 15/2*b**2 - 15/2*b**4 + 0*b - 3/2*b**5 + 0 + 3/2*b**t = 0. Calculate b.
-5, -1, 0, 1
Let i(d) be the second derivative of -d**4/18 + 70*d**3/9 - 23*d**2 + 166*d. Find g, given that i(g) = 0.
1, 69
Let s(l) be the second derivative of 0*l**4 + 1/147*l**7 + 0*l**2 + 8*l + 0 + 1/35*l**6 + 1/35*l**5 + 0*l**3. Factor s(u).
2*u**3*(u + 1)*(u + 2)/7
Let c(x) be the first derivative of 2/21*x**3 - 5 + 0*x + 1/7*x**2. Solve c(o) = 0 for o.
-1, 0
Suppose -161 = -23*i - 161. Factor 0*s**2 + 0*s + 2/7*s**3 + 4/7*s**4 + i + 2/7*s**5.
2*s**3*(s + 1)**2/7
Let u(p) be the first derivative of 1/15*p**6 + 0*p + 8/15*p**3 - 8/5*p**2 - 2/5*p**5 + 3/5*p**4 - 20. Solve u(o) = 0.
-1, 0, 2
Let y(x) = 6*x**3 - 10*x**2 + 6*x. Let t(v) = v**3 - v**2 - v. Let g be (-3 + 2/1)/1. Let w(l) = g*y(l) - 2*t(l). Find o, given that w(o) = 0.
0, 1/2, 1
Let u = -1860 - -1892. Let n(h) be the first derivative of 504/5*h**5 - 149*h**4 + 136*h**2 - 9 + 54*h**6 - 472/3*h**3 - u*h. Suppose n(t) = 0. Calculate t.
-2, -1, 2/9, 1
Determine k so that -24/5*k + 8/5 - 2/5*k**3 - 6/5*k**4 + 2/5*k**5 + 22/5*k**2 = 0.
-2, 1, 2
Let q(s) be the first derivative of -45*s**4/4 - 35*s**3/3 + 5*s**2 + 211. Let q(h) = 0. What is h?
-1, 0, 2/9
Let t(u) be the second derivative of -u**6/90 - 19*u**5/60 - 7*u**4/2 - 18*u**3 - 36*u**2 + 98*u. Determine g so that t(g) = 0.
-6, -1
Let m(w) be the first derivative of w**8/84 - 4*w**7/105 - w**6/30 + 2*w**5/15 - 15*w**2/2 - 7. Let a(g) be the second derivative of m(g). Solve a(i) = 0.
-1, 0, 1, 2
Determine b, given that -132*b**2 + 36/5*b**4 + 6/5*b**5 - 168/5*b**3 - 702/5*b - 48 = 0.
-8, -1, 5
Let f(q) be the third derivative of -q**6/420 + q**4/84 - 4*q**2 - 19. Solve f(u) = 0.
-1, 0, 1
Let l = -69 + 95. Let r be 4 - -2*(-4)/64*l. Factor r*u**3 + 0 - 1/4*u**4 - u + 0*u**2.
-u*(u - 2)**2*(u + 1)/4
Let p(a) be the second derivative of 1/6*a**3 + 3*a**2 + 0 - 2*a + 1/60*a**5 + 1/12*a**4. Let f(t) be the first derivative of p(t). Factor f(d).
(d + 1)**2
Suppose -864 = 2*x - 878. Let w(o) be the third derivative of 1/1050*o**x + 0*o - 1/100*o**5 + 0 - 1/120*o**4 + 11*o**2 + 1/600*o**6 + 1/15*o**3. Factor w(k).
(k - 1)**2*(k + 1)*(k + 2)/5
Let y(o) be the first derivative of -o**3 - 3/5*o**5 + 6*o - 9/2*o**2 + 8 + 9/4*o**4. Suppose y(w) = 0. Calculate w.
-1, 1, 2
Let t(z) be the first derivative of 0*z**2 + 0*z - 10/3*z**3 - 4*z**5 + 5/6*z**6 + 11 + 25/4*z**4. Factor t(j).
5*j**2*(j - 2)*(j - 1)**2
Let s(g) = -61*g - 181. Let o be s(-3). Solve 9/5*i**o + 0 - 3/5*i - 6/5*i**3 = 0 for i.
0, 1/2, 1
Let x(w) = 6*w**3 - 6*w**2. Suppose -17 - 1 = -2*k. Let d(c) = 11*c**3 - k*c**3 - 3*c**3 + c**2. Let p(g) = 3*d(g) + x(g). Determine y so that p(y) = 0.
0, 1
Find p such that -1/2*p**2 - 1/2*p**4 - 3/2*p**3 + 3/2*p + 1 = 0.
-2, -1, 1
Let c = 901 + -896. Solve r**c + 5/3*r**2 - 5/3*r**4 - 1/3*r**3 + 0 - 2/3*r = 0.
-1, 0, 2/3, 1
Let a be (-34)/9 - 2/(-3). Let r = -47/18 - a. Factor 7/2*w**2 - 2*w**3 - r - w.
-(w - 1)**2*(4*w + 1)/2
Suppose -3*q - 2*q = 25. Let j(n) = -3*n**3 + 15*n**2 - 24*n + 7. Let m(b) be the second derivative of b**2/2 + 26*b. Let l(v) = q*m(v) - j(v). Factor l(a).
3*(a - 2)**2*(a - 1)
Let o be (12/(-5))/((-1396)/1745). Factor 0 - 72/7*a**2 - 324/7*a - 4/7*a**o.
-4*a*(a + 9)**2/7
Let t(l) be the first derivative of -l**4/3 - 8*l**3/3 + 14*l**2/3 - 263. Factor t(a).
-4*a*(a - 1)*(a + 7)/3
Let a(k) = -5*k**2 + 50*k + 25. Let g(l) = 10*l**2 - 99*l - 46. Let q(o) = 5*a(o) + 2*g(o). Factor q(n).
-(n - 11)*(5*n + 3)
Let z = -37865 + 151461/4. Factor 33/4*i**2 + 1331/4 + z*i**3 + 363/4*i.
(i + 11)**3/4
Let y = -48061 + 336430/7. Factor -312/7*k**2 - 144/7*k**3 - 48*k - 33/7*k**4 - 144/7 - y*k**5.
-3*(k + 2)**4*(k + 3)/7
Suppose 3*o + 40 = 46. Let m = -14 + 17. Determine i, given that 2/3*i - 2/3*i**m + 1/3*i**o - 1/3 = 0.
-1, 1/2, 1
Let 0 + 4*m**4 + 2/7*m**5 + 0*m - 2/7*m**3 - 4*m**2 = 0. Calculate m.
-14, -1, 0, 1
Let q(h) = h**2 + 3*h - 12. Let m be q(8). Suppose m*a = 81*a - 20. Let 1/3*c**a + 0 - 1/3*c**5 - 1/3*c**2 + 0*c + 1/3*c**3 = 0. What is c?
-1, 0, 1
Let n = -773 + 777. Let l(w) be the second derivative of 2*w + 3/20*w**5 + w**3 + 3/4*w**n + 0 + 0*w**2. Suppose l(q) = 0. What is q?
-2, -1, 0
Let i(a) = -4*a**3 - 36*a**2 + 4*a + 36. Let x be i(-9). Suppose x + 9/4*n**2 + 0*n - 3/2*n**3 - 3/4*n**4 = 0. What is n?
-3, 0, 1
Let z = -476/3 - -162. Let o = 29/6 - z. Factor 0 - 3/4*c - 3/4*c**5 + o*c**3 + 0*c**4 + 0*c**2.
-3*c*(c - 1)**2*(c + 1)**2/4
Factor 8*u**2 - 196/3 + 2/3*u**3 + 14*u.
2*(u - 2)*(u + 7)**2/3
Let y be ((-6)/4 + -1)/(10/(-20)). Factor -56*v**4 + 106*v**3 - 2*v**3 + 12*v**y - 8 + 49*v - 96*v**2 - 5*v.
4*(v - 1)**4*(3*v - 2)
Determine t, given that 4*t**2 - 72*t - 3*t**2 + 48*t + 164 - 20 = 0.
12
Suppose 0 = -9*t + 7*t + 8. Let i be (2/t)/((-6)/36). Let k(c) = c**2