 1)/9
Let m(i) be the second derivative of 1/48*i**4 - 24*i - i**2 + 1/12*i**3 + 0. Factor m(l).
(l - 2)*(l + 4)/4
Factor -8/7*m + 4/7*m**2 + 4/7.
4*(m - 1)**2/7
Let p(v) be the third derivative of -1/8*v**6 + 5/3*v**3 + 0 - 1/42*v**7 + 9*v**2 + 5/8*v**4 - 1/12*v**5 + 0*v. Solve p(i) = 0 for i.
-2, -1, 1
Let l(y) be the second derivative of 0*y**3 - 1/5*y**5 + 0 + 0*y**2 - 2/15*y**6 - 2*y + 0*y**4. Find c such that l(c) = 0.
-1, 0
Let u be (-4)/(-35) + 12/42. Let g(h) = 5*h + 30. Let p be g(-6). Factor p - 4/5*r**2 + u*r.
-2*r*(2*r - 1)/5
Factor -1/4*b**3 + 6 + 9/4*b**2 - 13/2*b.
-(b - 4)*(b - 3)*(b - 2)/4
Let d(a) be the third derivative of -1/42*a**7 - 1/12*a**6 + 0 - 17*a**2 + 0*a + 5/12*a**4 + 1/3*a**5 - 5/2*a**3. Factor d(s).
-5*(s - 1)**2*(s + 1)*(s + 3)
Let z(s) be the third derivative of -s**8/13440 - s**7/5040 - 4*s**5/15 + 2*s**2. Let d(g) be the third derivative of z(g). Factor d(x).
-x*(3*x + 2)/2
Let o(c) be the second derivative of -c**8/840 + c**7/210 - c**3/2 - 4*c. Let h(m) be the second derivative of o(m). Factor h(y).
-2*y**3*(y - 2)
Let s(j) be the third derivative of 5*j**8/336 + 3*j**7/14 + 5*j**6/8 - 25*j**5/12 - 7*j**2 + 3*j. Factor s(q).
5*q**2*(q - 1)*(q + 5)**2
Let i(b) be the third derivative of -1/18*b**6 + 0*b - 5/36*b**4 + 0 - 3*b**2 - 5/18*b**3 + 7/36*b**5. Factor i(u).
-5*(u - 1)**2*(4*u + 1)/3
Let o(z) be the first derivative of 4*z**3/3 - 12*z**2 + 36*z - 31. Determine k so that o(k) = 0.
3
Let o(f) be the third derivative of -f**7/7560 + f**6/2160 - 11*f**4/12 + 37*f**2. Let z(l) be the second derivative of o(l). Suppose z(c) = 0. What is c?
0, 1
Factor -36 - 189*z - 178 + 22 + 3*z**2.
3*(z - 64)*(z + 1)
Let a be (55/66)/((-5)/(-4)). Factor -2*u**2 + a*u + 4/3.
-2*(u - 1)*(3*u + 2)/3
Factor -38/17*t**2 - 4/17 - 42/17*t.
-2*(t + 1)*(19*t + 2)/17
Let a(y) be the first derivative of -17*y**4/38 - 2*y**3/19 - 66. Factor a(h).
-2*h**2*(17*h + 3)/19
Let j(u) be the first derivative of u**3/9 + 5*u**2 + 75*u + 21. Suppose j(b) = 0. Calculate b.
-15
Let i(o) = 13*o**2 + 88*o + 979. Let l(x) = -x**2 - 1. Let j(s) = -2*i(s) - 22*l(s). Factor j(k).
-4*(k + 22)**2
Let j(n) be the third derivative of -n**8/1680 + n**7/315 - n**4/24 + 13*n**2. Let m(z) be the second derivative of j(z). Find g, given that m(g) = 0.
0, 2
Let v(w) be the first derivative of -25/4*w**6 + 49/2*w**3 - 39/2*w**5 + 38 + 42*w**2 - 93/8*w**4 + 24*w. Find m such that v(m) = 0.
-1, -4/5, 1
Let c(m) = -3*m**3 + 0*m**3 + 0*m**2 + 4*m**2 + m**3 - 20 - 32*m - m**4. Let s(t) = t**3 - t**2 + 11*t + 7. Let o(q) = 6*c(q) + 17*s(q). Factor o(y).
-(y - 1)**2*(y + 1)*(6*y + 1)
Let k(g) be the third derivative of 1/28*g**8 + 0*g**5 + 1/40*g**6 + 2*g**2 + 0*g**4 + 1/14*g**7 + 0*g**3 + 0*g + 0. Find d such that k(d) = 0.
-1, -1/4, 0
Factor -2/5*i**3 + 0 + 4/5*i**2 + 0*i.
-2*i**2*(i - 2)/5
Let k(l) be the first derivative of 5*l**6/6 - 5*l**5 + 35*l**4/4 + 5*l**3/3 - 20*l**2 + 20*l + 36. Solve k(r) = 0 for r.
-1, 1, 2
Find o such that 14 - 536*o**3 + 7*o**2 + 1126*o**3 - 563*o**3 + 14*o**2 - 2 - 60*o = 0.
-2, 2/9, 1
Let r = 16755/11 + -1523. Factor 2/11*x**2 - r + 0*x.
2*(x - 1)*(x + 1)/11
Let i(y) = 4*y**2 + 3*y - 10. Let m(q) = -q**2 + 2. Let b(t) = -i(t) - 3*m(t). Factor b(v).
-(v - 1)*(v + 4)
Find j, given that 2197/4*j**3 - 27/4 + 351/4*j - 1521/4*j**2 = 0.
3/13
Let k(s) be the second derivative of -1/24*s**4 + 21*s - 1/40*s**5 + 1/6*s**3 + 0 + 0*s**2. Factor k(u).
-u*(u - 1)*(u + 2)/2
Let v(z) = z**2 + 13*z - 47. Let f be v(-17). Suppose 22*g - 29*g + f = 0. Find w such that -21/2*w**4 + 0*w + 3/4*w**2 + 0 + 3/8*w**g = 0.
-1/4, 0, 2/7
Let c = 49349 - 98693/2. Find t, given that -18/5*t + 3*t**2 + 4/5 + c*t**3 = 0.
-2, 2/5
Let p(o) be the second derivative of -o**4/24 + 3*o**3 + 37*o**2/4 - 172*o. Factor p(v).
-(v - 37)*(v + 1)/2
Let f be (-1822)/(-54)*(-12)/4. Let o = -101 - f. Let -8/9*a - 8/9 - o*a**2 = 0. What is a?
-2
Let c(p) = p**2 - 8*p + 9. Let m be c(7). Factor 6*z**2 - z**m - 23*z - 9*z + 2*z + 45.
5*(z - 3)**2
Suppose 6 = 2*j - 2*a, -5 = -j + 3*a - 4. Factor 0*q**3 + 11*q**4 + 4*q**3 - 2*q**5 - 9*q**j.
-2*q**3*(q - 2)*(q + 1)
Let v(m) be the third derivative of -m**7/630 - 7*m**6/72 + m**5/180 + 35*m**4/72 + 137*m**2. Factor v(b).
-b*(b - 1)*(b + 1)*(b + 35)/3
Suppose 9*t - 4*t - 205 = 0. Solve 65*z + 36 + 5*z**2 - t*z - z**2 = 0.
-3
Find c such that 2/7*c**5 + 26/7*c**2 + 2*c**4 + 0 + 8/7*c + 30/7*c**3 = 0.
-4, -1, 0
Let f(s) = -50*s**2 - 650*s - 155. Let i(h) = -26*h**2 - 325*h - 77. Let v(w) = -3*f(w) + 5*i(w). Factor v(b).
5*(b + 16)*(4*b + 1)
Let d(t) = t**4 - 4*t**3 - 5*t**2 + 4*t. Let y(v) = 4*v**4 - 19*v**3 - 26*v**2 + 19*v. Let r = -43 - -54. Let i(s) = r*d(s) - 2*y(s). Factor i(p).
3*p*(p - 2)*(p - 1)*(p + 1)
Let p(m) be the second derivative of -11*m**6/60 - 3*m**5/5 + 7*m**4/24 + 2*m**3 + m**2 + 3*m - 22. Let p(g) = 0. Calculate g.
-2, -1, -2/11, 1
Suppose 67 = 42*t - 101. Let p(o) be the second derivative of -1/6*o**2 + 0 + 1/36*o**t - 1/60*o**5 - 3*o + 1/18*o**3. Factor p(h).
-(h - 1)**2*(h + 1)/3
Let j(c) = 25*c**3 - 85*c**2 + 20*c + 130. Let l(k) = 8*k**3 - 28*k**2 + 7*k + 43. Let x(m) = -3*j(m) + 10*l(m). Determine y so that x(y) = 0.
-1, 2, 4
Let a(m) be the first derivative of 1 - 1/6*m**2 - 5*m + 1/36*m**4 + 1/12*m**3. Let h(c) be the first derivative of a(c). Factor h(v).
(v + 2)*(2*v - 1)/6
Let r(v) be the third derivative of -v**6/40 - 2*v**5/5 - 17*v**4/8 - 5*v**3 + 8*v**2. Suppose r(b) = 0. What is b?
-5, -2, -1
Suppose 4*d = 5*d - 4*h + 28, 0 = -3*h. Let u = d - -32. Determine i, given that 1 - u*i**3 + 31/4*i + 14*i**2 = 0.
-1/4, 4
Let u = 1529 - 1521. Let s(d) be the first derivative of -2/45*d**3 + 0*d**2 - u + 0*d. Determine h, given that s(h) = 0.
0
Let i(f) be the third derivative of f**6/320 + f**5/160 - 17*f**4/64 + 15*f**3/16 - f**2 + 47. Let i(j) = 0. What is j?
-5, 1, 3
Let w(m) = m**4 + m**3 + m**2 + m - 1. Suppose -4 = -3*z - 1. Let u(p) = 9*p**4 + 12*p**3 + 9*p**2 + 6*p - 6. Let b(y) = z*u(y) - 6*w(y). Factor b(x).
3*x**2*(x + 1)**2
Let f be (1 - (3 - 6)) + (-272)/40. Let s = f - -43/10. What is p in 3 - 9/2*p + s*p**2 = 0?
1, 2
Suppose 5*q - 5*l = -4*l - 78, -4*q - 5*l - 74 = 0. Let b be (-10)/(-25) - q/10. Find x such that 0 - 12/5*x**3 + 2/5*x**b + 18/5*x**4 + 0*x = 0.
0, 1/3
Let o(h) = -80*h**3 - 865*h**2 + 3430*h - 2430. Let v(a) = -3*a**3 - 32*a**2 + 127*a - 90. Let r(l) = -2*o(l) + 55*v(l). Find c such that r(c) = 0.
-9, 1, 2
Determine a so that 8/5*a + 1/5*a**2 + 4/5 - a**4 - 7/5*a**3 - 1/5*a**5 = 0.
-2, -1, 1
Suppose -11 + 46 = h + 5*r, 0 = 5*h - 2*r - 40. Suppose 9*k - h = 4*k. Factor 2/3 + 2*c**k + 2/3*c**3 + 2*c.
2*(c + 1)**3/3
Let j be ((-228)/(-9))/(-4*(-4)/24). Suppose -2*i - 34 = -j. Factor 8/7 + 2/7*h**i - 10/7*h.
2*(h - 4)*(h - 1)/7
Let p be (-5 - -3)/(0 - -2) + 5. Let x(f) be the third derivative of 1/2*f**p + 0*f + 8*f**2 + 1/30*f**6 + 1/3*f**5 - 6*f**3 + 0. Factor x(z).
4*(z - 1)*(z + 3)**2
Suppose 3*a = a - 5*q + 2, -4*a = 4*q - 16. Let u be 1/(-2)*16/(-4). Let a*n**u + 15*n**3 + 5*n - 13*n**2 - 13*n**2 = 0. What is n?
0, 1/3, 1
Let x(a) = a**3 - 3*a + 0*a + 7*a**2 + 9*a + 3. Let z be x(-6). Factor -6*h**2 - 6*h**z - 40*h**4 + 25*h**4 - 4*h**2 + 17*h**4 + 2*h**5 - 4*h.
2*h*(h - 2)*(h + 1)**3
Let y = 34 + -19. Suppose 5*i + v = -0*i + y, 3*v = i - 19. Suppose i*n**2 + 29*n + 13 - 5*n + 23 = 0. Calculate n.
-3
Let c(o) be the second derivative of -1/147*o**7 + 0 - 2/21*o**3 + 0*o**2 + 3/70*o**5 + 1/105*o**6 + 16*o - 1/42*o**4. Let c(u) = 0. What is u?
-1, 0, 1, 2
Let h(x) = x + 15. Let y be h(0). Let w = 16 - y. Find u, given that 9*u + w - u**2 + 4*u**2 - 1 = 0.
-3, 0
Let l be (-105)/(-20) + 42/56 - 3. Factor 0*d**2 - 2/3*d - 1/3 + 2/3*d**l + 1/3*d**4.
(d - 1)*(d + 1)**3/3
Let u = -33854 - -33856. Solve 2*t - 12/7 - 2/7*t**3 + 0*t**u = 0.
-3, 1, 2
Let h(u) be the first derivative of 0*u + 0*u**5 + 16 + 0*u**3 - 1/2*u**4 + 1/3*u**6 + 0*u**2. Factor h(t).
2*t**3*(t - 1)*(t + 1)
Find v, given that -1821*v - 48*v**2 - 4*v**3 + 1821*v = 0.
-12, 0
Suppose -8 = -4*v, 2*a - 16 = 4*v - 4. Let t = a - 8. Factor -t*l + 2*l**2 + 6*l + 6*l + 18 + 2*l.
2*(l + 3)**2
Let z(g) be the first derivative of g**4/42 - 10*g**3/7 + 225*g**2/7 + 41*g + 2. Let p(x) be the first derivative of z(x). Find o such