1)**2
Let b(t) be the third derivative of t**7/1365 + t**6/195 - 4*t**4/39 - 16*t**3/39 - 30*t**2. Solve b(m) = 0.
-2, 2
Suppose 1 = b + 13. Let d = 14 + b. Factor -3/4*g - 3/4 + 3/4*g**3 + 3/4*g**d.
3*(g - 1)*(g + 1)**2/4
Suppose -w + 7 + 1 = 0. Let j be 3/1 + -5 - 1*-4. Factor 0*b**3 - 6*b**3 + 3*b**j - w*b**4 - b**2.
-2*b**2*(b + 1)*(4*b - 1)
Let r be (-11)/(-77)*(-2 - -4). Factor 2/7 - r*i**2 + 0*i.
-2*(i - 1)*(i + 1)/7
Let c(b) be the first derivative of 3*b**4 + 8*b**3/3 - 11. Factor c(d).
4*d**2*(3*d + 2)
Factor 2/5*y - 14*y**2 + 12/5.
-2*(5*y + 2)*(7*y - 3)/5
Let m(u) be the first derivative of u**6/90 - u**5/20 + u**4/12 - u**3/18 - u - 3. Let q(f) be the first derivative of m(f). What is t in q(t) = 0?
0, 1
Let w = -5 + -5. Let u(k) = -k - 8. Let x be u(w). What is p in -4/3*p + 0 + 14/3*p**4 + 22/3*p**x - 32/3*p**3 = 0?
0, 2/7, 1
Let j be 39*3/45*-13. Let o = 34 + j. Factor -1/5*f**2 + o + 0*f.
-(f - 1)*(f + 1)/5
Suppose -6*j = -10*j. Let p(g) be the third derivative of 0 + 1/150*g**6 + j*g + 0*g**3 - 1/75*g**7 + 0*g**5 + 3*g**2 + 0*g**4. Factor p(b).
-2*b**3*(7*b - 2)/5
Let t(x) = 5*x**4 + 17*x**3 + 16*x**2 - 17*x - 21. Let f(s) = 2*s**4 + 8*s**3 + 8*s**2 - 8*s - 10. Let u(k) = 9*f(k) - 4*t(k). Factor u(z).
-2*(z - 3)*(z - 1)*(z + 1)**2
Let w(n) be the third derivative of 2*n**2 + 0 + 0*n - 1/672*n**8 + 1/140*n**7 + 0*n**3 + 0*n**4 + 1/120*n**5 - 1/80*n**6. Suppose w(z) = 0. What is z?
0, 1
Let h(n) be the first derivative of -2*n**3/21 - 3*n**2/7 + 20*n/7 + 40. Determine x, given that h(x) = 0.
-5, 2
Let f(m) be the first derivative of -2/11*m**2 + 10/33*m**3 + 0*m + 2/55*m**5 - 2/11*m**4 - 2. Suppose f(n) = 0. What is n?
0, 1, 2
Let p(n) = n**3 + 4*n**2 - 2*n - 3. Let b be p(-4). Suppose 8 = 2*l + 2*l. Factor y**2 - 9*y + 5*y**2 + 6*y**2 + l - b*y**3.
-(y - 1)**2*(5*y - 2)
Let z(f) be the first derivative of 2*f**3/21 - f**2/7 - 4*f/7 - 9. Determine d so that z(d) = 0.
-1, 2
Suppose -4*r + 25 = 9. Determine i, given that -3*i**4 - i**5 + 8*i**r - 4*i**4 = 0.
0, 1
Let a(w) be the first derivative of 3/20*w**4 + 9/5*w**3 + 81/10*w**2 - 3 + 81/5*w. Factor a(l).
3*(l + 3)**3/5
Suppose 6 = b + 2. Suppose i - 19 = -b*w, 0 = 5*i - 2*i + 5*w - 29. Determine y so that -2*y**2 - 2*y**4 + 4*y**2 + 0*y**3 - 3*y**i + 5*y**3 - 2*y = 0.
-1, 0, 1
Let f(l) be the third derivative of -19*l**5/15 - l**4/3 + 22*l**2 + 2. Suppose f(y) = 0. Calculate y.
-2/19, 0
Factor -6/7*x**3 - 6/7*x**2 + 6/7*x**4 + 0*x + 0 + 6/7*x**5.
6*x**2*(x - 1)*(x + 1)**2/7
Suppose 3 + 14*u**5 - 6*u**2 - 3 - 11*u**5 - 9*u**3 = 0. Calculate u.
-1, 0, 2
Suppose 0 = 9*j - 7*j - 10. Let o(i) be the second derivative of 3*i + 0 + 1/6*i**2 - 5/18*i**3 - 1/20*i**j + 7/36*i**4. Determine a, given that o(a) = 0.
1/3, 1
Let o be 8 + -7 - (1 + -1). Suppose -o = -2*x + x, x = q + 1. Factor 1/5*c - 1/5*c**4 - 3/5*c**2 + q + 3/5*c**3.
-c*(c - 1)**3/5
Let x = 82/35 + -15/7. Let -x*f - 1/5*f**2 + 0 = 0. Calculate f.
-1, 0
Suppose -4*b = -2*b. Let t(m) be the third derivative of 0 - 1/9*m**5 + b*m - 2/9*m**3 - 1/4*m**4 - 1/60*m**6 + m**2. Factor t(f).
-2*(f + 1)*(f + 2)*(3*f + 1)/3
Let j(h) = h**2 - 23. Let v(q) = -2*q**2 + 67. Let o(f) = 7*j(f) + 2*v(f). Determine t so that o(t) = 0.
-3, 3
Let c(v) be the second derivative of 0 + 1/10*v**4 + 3*v + 1/5*v**3 + 1/5*v**2 + 1/50*v**5. Determine z, given that c(z) = 0.
-1
Let r = 28/51 + 2/17. Let z(h) = -h**3 + 5*h**2 + 8*h - 9. Let w be z(6). Factor 0 - 2/3*b**w + 4/3*b**2 - r*b.
-2*b*(b - 1)**2/3
Let x(y) be the third derivative of y**5/75 - y**4/10 + 4*y**3/15 - 16*y**2. Factor x(n).
4*(n - 2)*(n - 1)/5
Let j(s) be the second derivative of 25*s**7/168 + 3*s**6/16 - 13*s**5/160 - 3*s**4/32 - s**3/48 + 51*s. What is x in j(x) = 0?
-1, -1/5, 0, 1/2
Find i, given that -3/4*i**3 + 0*i + 0*i**2 + 0 + 3/4*i**5 + 0*i**4 = 0.
-1, 0, 1
Let y = 369/4 - 91. Factor -u**3 - 1/2*u + 1/4*u**4 + 0 + y*u**2.
u*(u - 2)*(u - 1)**2/4
Let z(k) be the first derivative of 1/8*k**4 + 0*k + 3/2*k**2 + 0*k**3 + 3 + 1/20*k**5. Let o(u) be the second derivative of z(u). Solve o(m) = 0 for m.
-1, 0
Suppose 5 = -s, 0 = 2*w + 5*s + 2 + 19. Let k = 4 - w. Factor 2/7*m**k + 0 + 0*m + 2/7*m**3.
2*m**2*(m + 1)/7
Let p(h) be the third derivative of 0*h**3 + 1/210*h**5 + 0*h + 0*h**6 + 0*h**4 - 1/735*h**7 + 0 + h**2. Factor p(u).
-2*u**2*(u - 1)*(u + 1)/7
Let s(v) be the second derivative of 0 + 0*v**2 + 6*v + 1/9*v**3 - 1/18*v**4. Solve s(k) = 0.
0, 1
Suppose -2*n - 7 + 13 = 0. Let u(z) be the second derivative of 3/10*z**5 - 1/2*z**4 - 1/15*z**6 - n*z + 1/3*z**3 + 0 + 0*z**2. Factor u(s).
-2*s*(s - 1)**3
Let y(x) be the third derivative of -x**8/2856 + 4*x**7/1785 - x**6/204 + x**5/255 - 6*x**2. Determine r so that y(r) = 0.
0, 1, 2
Let t be 6/(-9) + 8 + -4. Let 10/3*o + 2*o**4 - 4/3 - 2/3*o**2 - t*o**3 = 0. What is o?
-1, 2/3, 1
Let -27 - 2*g + g**3 + 27 - g**2 = 0. Calculate g.
-1, 0, 2
Let v(k) = -7*k**3 + 7*k**2 + 11*k + 13. Let a(p) = 6*p**3 - 6*p**2 - 12*p - 12. Let g(q) = -4*a(q) - 3*v(q). Factor g(x).
-3*(x - 3)*(x + 1)**2
Let p(l) = 0 - l + 7 + 2*l. Let h be p(-5). Factor -h*c**5 - 7*c**4 + 6*c - 7*c**3 + 2 + c**4 + 4*c**2 + 3*c**3.
-2*(c - 1)*(c + 1)**4
Let f(s) be the first derivative of -3*s**5/20 + 3*s**4/4 - s**3 - 8*s + 5. Let t(k) be the first derivative of f(k). Factor t(o).
-3*o*(o - 2)*(o - 1)
Factor -99*h - h**2 - h**2 + 94*h + 7*h**2.
5*h*(h - 1)
Let b(j) = 2*j**4 + 10*j**3 - 4*j**2 + 4*j + 4. Let a(m) = -5*m**4 - 29*m**3 + 12*m**2 - 11*m - 11. Let q(c) = -4*a(c) - 11*b(c). Determine g so that q(g) = 0.
0, 1, 2
Let 8*w**2 - 2*w**4 + 51*w**3 - 107*w**3 + 60*w**3 - 2*w**4 = 0. Calculate w.
-1, 0, 2
Let l(u) be the first derivative of -2*u**6/21 - 12*u**5/35 - 3*u**4/7 - 4*u**3/21 - 2. Find i such that l(i) = 0.
-1, 0
Suppose -17 = -4*s - 5*z, 7*z = s + 2*z - 23. Let c = s + -8. Factor i**3 - 3*i**2 + c + 0 - 4 + 3 + 3*i.
(i - 1)**3
Let m(o) be the third derivative of -2*o**7/105 - 11*o**6/120 - o**5/12 + o**4/12 + 11*o**2. Factor m(n).
-n*(n + 1)*(n + 2)*(4*n - 1)
Let p(h) = -h**5 + h**4 - h**3 - h**2 - h + 1. Let f(v) = 20*v**5 + 30*v**4 - 30*v**2 - 5*v - 5. Let r(n) = -f(n) - 5*p(n). Let r(i) = 0. What is i?
-2, -1, -1/3, 0, 1
Factor -2/9*u**2 - 2/3*u - 4/9.
-2*(u + 1)*(u + 2)/9
Let q(i) be the second derivative of i**7/273 - 2*i**6/195 + i**4/39 - i**3/39 - 5*i. Factor q(r).
2*r*(r - 1)**3*(r + 1)/13
Let i(k) be the second derivative of -20/27*k**3 + k - 4/9*k**2 + 0 - 29/54*k**4 - 1/9*k**5. Let i(a) = 0. Calculate a.
-2, -1/2, -2/5
Let f(l) = 2*l**2 + 8*l - 6. Let i be f(-5). Let b(y) be the first derivative of y**i + 0*y + 14/3*y**3 + 2*y**2 + 2 - 6/5*y**5. Factor b(n).
-2*n*(n - 2)*(n + 1)*(3*n + 1)
Suppose -2*v = 5*f, 6 = -v - 5*f + 1. Let o(j) be the third derivative of 1/60*j**v + 0*j + 0 + 0*j**3 + 1/120*j**6 - j**2 + 0*j**4. Factor o(y).
y**2*(y + 1)
Let o be 58/(-30) - -2 - 5/(-15). Factor o*g - 2/5*g**3 - 2/5 + 2/5*g**2.
-2*(g - 1)**2*(g + 1)/5
Let 10/9*o**4 + 0*o + 0 + 8/9*o**2 + 2/9*o**5 + 16/9*o**3 = 0. What is o?
-2, -1, 0
Let g be 4 + -1 + (-3)/3. Suppose -4*i - 4*a = 8, 27 = 4*i - a - g*a. Let 4*o**i + 2*o**4 + 2*o + 4*o**2 + 2/5 + 2/5*o**5 = 0. Calculate o.
-1
Let x(u) = -u**4 - u**3 + u**2 + u - 1. Let c(m) = 10*m**4 + 18*m**3 - 2*m**2 - 18*m - 2. Let f(t) = c(t) + 6*x(t). Determine l so that f(l) = 0.
-2, -1, 1
Let x(m) = -m**3 + m + 1. Let n(t) = -t**3 + 2*t**2 + 3*t + 2. Let b(o) = -n(o) + 2*x(o). Factor b(z).
-z*(z + 1)**2
Let x(c) be the second derivative of c**5/30 - c**4/6 + 4*c**2/3 + 9*c. Solve x(l) = 0 for l.
-1, 2
Solve -8/9*w**3 + 0*w + 4/9*w**4 + 0 + 4/9*w**5 + 0*w**2 = 0 for w.
-2, 0, 1
Let n = 266 - 262. Let 2/7*b + 4/7*b**2 + 0*b**3 + 0 - 4/7*b**n - 2/7*b**5 = 0. Calculate b.
-1, 0, 1
Let a = -12 + 14. Let m(t) be the second derivative of 1/6*t**4 + t**3 + 0 - 2*t + a*t**2. Determine q so that m(q) = 0.
-2, -1
Suppose -3*z - x + 1 = -9, -2*x = 4. Let g be 1*(0/z)/(-1). Find w, given that g + 0*w**3 + 0*w + 0*w**2 - 1/3*w**4 = 0.
0
Let y(i) = -3*i**2 + 11*i - 3. Let s(f) = 15*f + 6*f - 5*f**2 - f**2 - 6. Let h(u) = -5*s(u) + 9*y(u). Factor h(m).
3*(m - 1)**2
Let f(h) be the second derivative of h**4/18 + 2*h**3/3 + 3*h**2 - 8*h. Factor f(d).
2*(d + 3)**2/3
Let d = -1 + 4. Let a be 6/(-9) + d + -1. Determine x so that -a