**7/105 + d**6/60 - d**5/15 - d**4/3 - 2*d**3/3 - 5*d. Let u(b) be the second derivative of x(b). Factor u(q).
2*(q - 1)*(q + 1)*(q + 2)**2
Let t(j) be the first derivative of -2*j**2 - 4/3*j**3 - 4 + 8*j. Suppose t(l) = 0. Calculate l.
-2, 1
Let b(i) be the first derivative of -i**4/18 + 2*i**3/9 + 7*i + 1. Let n(y) be the first derivative of b(y). Factor n(f).
-2*f*(f - 2)/3
Let x(u) = -u**3 - 5*u**2 + 8*u + 9. Let n be x(-6). Let a be (-2 + n + 3)/(-10). Factor -1/5*r**2 + 0 + 1/5*r**5 + 1/5*r**4 - a*r**3 + 0*r.
r**2*(r - 1)*(r + 1)**2/5
Let h(c) be the third derivative of -c**5/12 - 25*c**4/24 - 5*c**3 + 3*c**2 - c. Factor h(m).
-5*(m + 2)*(m + 3)
Let n(s) be the third derivative of -s**7/70 - s**6/24 - s**5/40 - 4*s**3/3 + 6*s**2. Let f(y) be the first derivative of n(y). What is l in f(l) = 0?
-1, -1/4, 0
Let r(q) be the second derivative of q**10/60480 - q**8/6720 + q**6/1440 - q**4/4 - 3*q. Let i(v) be the third derivative of r(v). Factor i(t).
t*(t - 1)**2*(t + 1)**2/2
Let c(q) be the third derivative of 1/336*q**8 + 5/24*q**4 + 3*q**2 + 1/12*q**6 + 0 + 1/6*q**3 + 0*q + 1/42*q**7 + 1/6*q**5. What is r in c(r) = 0?
-1
Let h(n) = -n**4 + 6*n**3 - 3*n**2 + 4*n. Let j(k) = k**3 + k**2 + k. Let m(r) = 3*h(r) - 6*j(r). Let m(w) = 0. Calculate w.
0, 1, 2
Let d = 3 - 1. Factor 2*a**3 - 2*a - 2*a + 2*a + a**d - a**3.
a*(a - 1)*(a + 2)
Factor -2*i**4 + 0*i**4 - 3*i**2 + 18*i**3 - 6*i**4 - 9*i**2 + 2*i.
-2*i*(i - 1)**2*(4*i - 1)
Let x(r) be the second derivative of -1/120*r**5 - 1/72*r**4 + 0 + 0*r**3 - 2*r + 0*r**2. Suppose x(h) = 0. Calculate h.
-1, 0
Let n(m) be the first derivative of -4 - 2/21*m**3 + 2/7*m**2 + 0*m. Solve n(o) = 0.
0, 2
Factor -3/5 + 0*j + 6/5*j**2 + 0*j**3 - 3/5*j**4.
-3*(j - 1)**2*(j + 1)**2/5
Let i be (-3)/(-2 + 15/12). Let 5 + 616*y**3 + 354*y**2 + 3 + 392*y**i + 107*y - 19*y = 0. What is y?
-1/2, -2/7
Let v(r) = r**5 - r**4 - 4*r**3 - 4*r**2 - 4*r + 4. Let p(x) = -x**5 + 2*x**4 + 5*x**3 + 4*x**2 + 5*x - 5. Let g(y) = -4*p(y) - 5*v(y). Factor g(t).
-t**2*(t - 1)*(t + 2)**2
Let p(n) be the second derivative of -1/50*n**5 - 2/5*n**2 - 2/15*n**4 - 4*n - 1/3*n**3 + 0. Find q, given that p(q) = 0.
-2, -1
Let n(y) be the second derivative of 4*y + 8/3*y**2 - 3*y**5 + 0 + 4/3*y**4 + 40/9*y**3 - 21/10*y**6. Determine x, given that n(x) = 0.
-2/3, -2/7, 2/3
Let z(l) be the second derivative of 2*l**6/15 - 2*l**4 - 16*l**3/3 - 6*l**2 - 11*l. Factor z(w).
4*(w - 3)*(w + 1)**3
Let u(i) = -8*i - 4*i**2 - 2*i**2 + 4*i**2 + 11 + i**2. Let b(o) = -2*o**2 - 24*o + 32. Let w(t) = 3*b(t) - 8*u(t). Find y, given that w(y) = 0.
2
Let d = 37/4 + -157/20. Let -2/5*o + d*o**2 - o**3 + 0 = 0. What is o?
0, 2/5, 1
Let r be -2 + (-3)/3 + 0. Let z be -1 - -2 - 1 - r. Factor -2*p + 1 + 4*p + 4*p**2 - 2 - 3*p**4 - 2*p**z.
-(p - 1)*(p + 1)**2*(3*p - 1)
Let l = 1441 - 1438. Suppose 1/4*x**4 + 3/2*x**2 + 1/4 - x**l - x = 0. What is x?
1
Suppose -35 = -5*z + 6*z. Let o be (2/(-2))/(z/20). Let 2/7*t - 4/7 - 2/7*t**3 + o*t**2 = 0. What is t?
-1, 1, 2
Let z(b) be the first derivative of b**7/280 - b**6/60 + b**5/40 - b**3 + 6. Let u(k) be the third derivative of z(k). Factor u(m).
3*m*(m - 1)**2
Let p(i) be the third derivative of -i**7/735 + i**5/210 + 12*i**2. Suppose p(l) = 0. Calculate l.
-1, 0, 1
Solve 4/5*d + 4/5*d**4 - 4/5*d**3 + 0 - 4/5*d**2 = 0 for d.
-1, 0, 1
Suppose 0 = -3*r - 127 + 25. Let t be 2/(-4) + r/(-20). Let 2/5*i**3 - 2/5 + 6/5*i - t*i**2 = 0. Calculate i.
1
Let j(h) = -h**3 - 6*h**2 - 6*h + 1. Let c be j(-5). Let m = 9 - c. Find b, given that -4*b**2 - 3*b**5 - 34*b**4 + b**2 + 25*b**4 - 9*b**m = 0.
-1, 0
Let s(h) be the third derivative of h**5/60 + h**4/12 + h**3/6 - 10*h**2. Factor s(u).
(u + 1)**2
Let d(j) = j - 5. Let s be d(7). Let g = -2 + 4. What is u in -2*u**3 + 2*u**g + 4*u**s + 0*u**3 - 2*u**2 = 0?
0, 2
Suppose 729*v = 721*v + 32. Factor 8/15*r - 8/3*r**2 + 0 + 26/15*r**3 + 6/5*r**5 + 4*r**v.
2*r*(r + 2)**2*(3*r - 1)**2/15
Let w(j) be the first derivative of 2*j**6/3 + 4*j**5/5 - 2*j**4 - 8*j**3/3 + 2*j**2 + 4*j + 9. Determine d so that w(d) = 0.
-1, 1
Find c, given that c**4 + 25*c**3 + c**3 + 8*c - 13*c**4 - 24*c**2 - c**5 + 3*c**5 = 0.
0, 1, 2
Let t = -120 - -1081/9. Let n(s) be the first derivative of -t*s**3 + 2 + 0*s**2 + 1/3*s. Let n(q) = 0. What is q?
-1, 1
Let i be (-80)/(-24) + -4*(-4)/(-12). Factor 2/7*d + 2/7*d**i + 0.
2*d*(d + 1)/7
Let v = -18 + 20. Let s = 3 - v. Factor -15/4*h**2 - 5/4*h**3 + 0*h + 15/4*h**4 + s + 9/4*h**5.
(h + 1)**3*(3*h - 2)**2/4
Let d(u) be the first derivative of 1/6*u**4 + 1/9*u**2 - 2/45*u**5 - 2/9*u**3 + 1 + 0*u. Find q, given that d(q) = 0.
0, 1
Factor 4*f**2 - 154*f**3 + 2*f + 79*f**3 - 4 + 73*f**3.
-2*(f - 2)*(f - 1)*(f + 1)
Let v be (-1)/2 + 7/2. Factor 3*p - 6*p + 0*p**2 - 3*p**2 + 6*p**v.
3*p*(p - 1)*(2*p + 1)
Let w(m) be the first derivative of -2*m**3/3 - 4*m**2 - 8*m - 10. Solve w(f) = 0.
-2
Let u be (7/3)/(-7) + 39/36. What is v in -1/2 + u*v - 1/4*v**3 + 0*v**2 = 0?
-2, 1
Suppose g + 2*r = 3, -3*g - 2*g = 3*r - 15. Let f(n) = 2*n**2 - 2*n - 2. Let i be f(2). Solve -5*j**2 + j - i*j + g*j**2 - j**3 = 0 for j.
-1, 0
Let p(k) be the third derivative of k**6/480 + k**5/48 - 7*k**4/48 + 3*k**2 - 2*k. Factor p(n).
n*(n - 2)*(n + 7)/4
Factor -10/7*z**2 + 12/7*z + 16/7.
-2*(z - 2)*(5*z + 4)/7
Determine f so that 6/13*f - 2/13*f**4 + 4/13 - 2/13*f**2 - 6/13*f**3 = 0.
-2, -1, 1
Let h(d) be the third derivative of 0 - 1/336*d**8 + 0*d**5 - 1/105*d**7 - 4*d**2 + 0*d + 0*d**3 - 1/120*d**6 + 0*d**4. Factor h(g).
-g**3*(g + 1)**2
Let o(x) be the second derivative of 3*x**5/140 + 5*x**4/28 + 4*x**3/7 + 6*x**2/7 + 3*x. Factor o(h).
3*(h + 1)*(h + 2)**2/7
Let r be (-20)/180*(-2 + 1). Let w(t) be the first derivative of -r*t**3 - 1 + 1/12*t**4 - 1/6*t**2 + 0*t + 1/15*t**5. Factor w(l).
l*(l - 1)*(l + 1)**2/3
Let l(k) = 2*k**2 + 19*k + 37. Let h be l(-7). Suppose -8/7*q**h - 10/7*q - 4/7 - 2/7*q**3 = 0. What is q?
-2, -1
Let h(w) = -w**2 - 3*w - 2. Let p(b) = b**2 + 3*b + 2. Let l(a) = 5*h(a) + 4*p(a). Factor l(g).
-(g + 1)*(g + 2)
Let f(h) be the second derivative of -h + 1/3*h**3 + 0 - 1/60*h**6 + h**2 + 1/12*h**4 - 1/30*h**5. Let y(x) be the first derivative of f(x). Factor y(v).
-2*(v - 1)*(v + 1)**2
Let v(j) = 4*j - 12 + 12. Let p be v(1). Find q, given that 8/3 + 4/3*q**3 - 8/3*q - 2*q**2 + 2/3*q**p = 0.
-2, 1
Let i be (-26)/(-6) + 4/(-12). Factor i*c**2 - 2*c**2 - c**2.
c**2
Let l be ((-6)/(-15))/(2/(-10)). Let s be 1/l*(-44)/11. Factor 2/7*k**s + 8/7 - 8/7*k.
2*(k - 2)**2/7
Let w = 47/5 + -9. Find v such that -1/5*v**4 - w*v**3 - 1/5*v**2 + 0*v + 0 = 0.
-1, 0
Solve -6 + z**2 + 14 - 8 = 0.
0
Let z be (-35)/(-14)*4/6. Let z*h + 4/3*h**2 + 1/3 = 0. What is h?
-1, -1/4
Let j be 4/8*(22 - 14). What is l in -2/3*l**j + 2 - 4/3*l**2 - 8/3*l + 8/3*l**3 = 0?
-1, 1, 3
Let m = 37 + -554/15. Let h(k) be the second derivative of 1/30*k**4 - m*k**3 + 0 + k + 0*k**2. Factor h(s).
2*s*(s - 1)/5
Suppose -2*p = -5*b + 15, 2*p - b - 12 = -5*b. Let g be (p + (-3)/2)*-2. Suppose 5/2*q**g + 4*q**2 - 1 + 1/2*q = 0. Calculate q.
-1, 2/5
Let n(j) be the third derivative of -j**8/26880 - j**7/5040 - j**6/2880 - j**4/24 + 4*j**2. Let i(u) be the second derivative of n(u). Factor i(d).
-d*(d + 1)**2/4
Let a(r) be the second derivative of r**5/8 - 5*r**4/24 - 10*r**3/3 + 15*r**2 - 68*r. Suppose a(k) = 0. What is k?
-3, 2
Factor 26/5*v - 2/5*v**3 - 2*v**2 - 14/5.
-2*(v - 1)**2*(v + 7)/5
Let l(u) be the second derivative of -u**7/70 - u**6/50 - u + 6. Factor l(r).
-3*r**4*(r + 1)/5
Let g be (2/4)/(2/16). Let m(c) be the second derivative of 1/3*c**2 + 2*c - 1/6*c**3 + 0 + 1/36*c**g. Factor m(h).
(h - 2)*(h - 1)/3
Let l(m) be the third derivative of -m**7/350 - 3*m**6/200 - 3*m**5/100 - m**4/40 - 2*m**2. Solve l(d) = 0.
-1, 0
Let r(b) = 8*b**2 + 26*b - 19. Let h(o) = -o**2 - o - 1. Let w(y) = -5*h(y) - r(y). Determine q, given that w(q) = 0.
-8, 1
Suppose 9 = -3*m, 1 = -3*a - 5*m - 5. Factor 18*o - 18*o**3 + 10 - 11 - a + 14*o**4 - 10*o**2.
2*(o - 1)**2*(o + 1)*(7*o - 2)
Let p = -2 + 9. Let x(r) = -r**2 + 7*r + 2. Let d be x(p). Factor 0 + 0*g + 1/4*g**d.
g**2/4
Suppose 5*a = 2*a - 0*a. Let z(b) be the third derivative of 2*b**2 + 0*b**3 + 1/120*b**6 + 0*b**5 + a*b**4 + 0 + 0*b + 1/210*b**7. Factor z(m).
m**3*(