c(q) be the second derivative of 0*q**2 - 1/120*q**6 + 1/48*q**4 + 0 + 1/80*q**5 - 1/24*q**3 - 19*q. Find z such that c(z) = 0.
-1, 0, 1
Let b(a) be the third derivative of -1/2*a**4 - 1/30*a**5 + 0 + 20*a**2 + 0*a - 8/3*a**3. Let b(h) = 0. Calculate h.
-4, -2
Determine h so that -14*h**2 - 5*h**3 + h**3 + 36 + 42*h**2 - 35*h - 25*h = 0.
1, 3
Let n(t) be the third derivative of -t**8/5040 - t**7/420 + t**6/45 + 7*t**5/30 + 2*t**2. Let h(p) be the third derivative of n(p). Factor h(a).
-4*(a - 1)*(a + 4)
Factor -1/2*n**2 - 5/6*n**3 + 2/3*n + 1/6*n**5 + 0 + 1/2*n**4.
n*(n - 1)**2*(n + 1)*(n + 4)/6
Let z = -27 - -27. Let 30*x - 15*x**3 - 5*x**2 + 5*x**4 + z*x**4 - 15*x = 0. Calculate x.
-1, 0, 1, 3
Let z(r) = r**3 - 14*r**2 + 14*r - 11. Let o be z(13). Find c, given that 18*c - 51*c + 22 + 8 + 3*c**o = 0.
1, 10
Let u(t) = -t**2 + 3*t + 2. Let v be u(3). Let c(i) be the first derivative of 3*i**3 - 6*i**v - 4*i**3 + 5 + 140*i - 152*i. Factor c(h).
-3*(h + 2)**2
Suppose -6*f - 3 = -27. Let y(w) be the second derivative of -1/12*w**f - 1/2*w**2 + 0 - 1/3*w**3 - w. Factor y(q).
-(q + 1)**2
Let v(g) be the second derivative of 0 + 3/20*g**5 + 12*g - 3/4*g**4 + 0*g**3 + 6*g**2. Factor v(d).
3*(d - 2)**2*(d + 1)
Let j(h) be the first derivative of -5*h**3/3 + 25*h**2/2 + 250*h - 262. Find s such that j(s) = 0.
-5, 10
Let o(f) be the first derivative of f**5/15 - 37*f**4/6 + 208*f**3 - 2880*f**2 + 9216*f - 784. What is v in o(v) = 0?
2, 24
Suppose g - 18*g + 119 = 0. Let x(u) be the second derivative of -1/6*u**3 + u + 1/10*u**5 + 1/6*u**4 - 1/42*u**g - 1/30*u**6 - 1/2*u**2 + 0. Factor x(z).
-(z - 1)**2*(z + 1)**3
Suppose 2*g - 70 = -3*g - 4*a, -4*g + 55 = 3*a. Let w(m) = m**3 - 11*m**2 + 11*m - 6. Let j be w(g). Factor 4*f + j - 11*f**2 - 18*f + 3*f**2.
-2*(f + 2)*(4*f - 1)
Let t(r) be the first derivative of -17/4*r**2 - 7/3*r**3 - 3*r + 4 - 3/8*r**4. Factor t(a).
-(a + 1)*(a + 3)*(3*a + 2)/2
Let l(f) = 21*f**3 + 963*f**2 - 219*f + 3. Let m(a) = 44*a**3 + 1927*a**2 - 437*a + 5. Let x(p) = -5*l(p) + 3*m(p). Factor x(o).
3*o*(o + 36)*(9*o - 2)
Let q be 2 - (-14)/(8 + -1). Let l(h) be the first derivative of 4/27*h**3 + 0*h - 4/45*h**5 + 1/9*h**2 + 0*h**4 + q - 1/27*h**6. Solve l(z) = 0 for z.
-1, 0, 1
Let b(y) be the second derivative of -y**8/1680 + y**6/60 - y**5/15 + 5*y**4/3 + y. Let n(v) be the third derivative of b(v). Factor n(h).
-4*(h - 1)**2*(h + 2)
Let n = 2/411833319 + 3509231697757/2767931736999. Let f = 3/611 + n. Factor 0 + f*k**2 + 2/11*k**4 + 6/11*k + 10/11*k**3.
2*k*(k + 1)**2*(k + 3)/11
Solve 4/11*u**5 + 0 + 1008/11*u**2 + 534/11*u**3 - 648/11*u + 82/11*u**4 = 0 for u.
-9, -6, 0, 1/2
Let y(b) be the third derivative of 0 - 1/6*b**4 + 1/3*b**5 + b**2 - 1/15*b**6 - 4/3*b**3 + 0*b. Determine z so that y(z) = 0.
-1/2, 1, 2
Let q(g) be the second derivative of -g**6/90 + g**5/30 + g**4/3 - 25*g**3/3 + 18*g + 1. Let h(n) be the second derivative of q(n). Factor h(a).
-4*(a - 2)*(a + 1)
Let m(o) be the first derivative of -o**7/735 + o**5/70 + o**4/42 - 9*o**2/2 + 26. Let p(z) be the second derivative of m(z). Factor p(q).
-2*q*(q - 2)*(q + 1)**2/7
Let v = 241/12060 - 2/603. Let y(s) be the third derivative of 0*s**3 + 0*s - 1/75*s**5 + 0 - v*s**4 + 4*s**2 - 1/300*s**6. Determine z, given that y(z) = 0.
-1, 0
Let k = 25 + -13. Let m be ((-2)/(-8))/(9/k). Factor 1/3*b + 2*b**3 + 0 - 4/3*b**4 + m*b**5 - 4/3*b**2.
b*(b - 1)**4/3
Let t(r) be the first derivative of -4 - 3/13*r**2 + 0*r + 2/39*r**3. Factor t(s).
2*s*(s - 3)/13
Let k be 28/4 - (0 - -4). Factor 2*v**3 + k*v**2 + 6*v**2 + 3*v - 14*v**3.
-3*v*(v - 1)*(4*v + 1)
Let f(z) be the first derivative of z**7/4620 + 7*z**6/1980 + z**5/55 - 2*z**3/3 - 2*z - 27. Let n(w) be the third derivative of f(w). Factor n(b).
2*b*(b + 3)*(b + 4)/11
Let m = -26 + 32. Let h(f) = -22*f**2 + 78*f + 32. Let a(z) = -2*z**2 + 7*z + 3. Let q(b) = m*h(b) - 68*a(b). Solve q(n) = 0 for n.
-1, 3
Let t(a) = -157*a**2 + 8*a + a + 154*a**2 - 2. Let m be t(2). Factor -2/5*c + 6/5 - m*c**2.
-2*(2*c - 1)*(5*c + 3)/5
Let f(g) = g**3 - 12*g**2 - 12*g - 13. Let o(l) = -7*l + 13. Let x be o(0). Let z be f(x). What is m in -2/3*m**2 - 1/3*m**3 + 0 + z*m = 0?
-2, 0
Suppose 4*q + 7*q = q. Let x(r) be the second derivative of q*r**3 + 0*r**2 + 0 - 1/3*r**4 - 7*r. Factor x(u).
-4*u**2
Let o(d) be the first derivative of d**5/150 - d**3/15 + 31*d**2/2 + 37. Let g(l) be the second derivative of o(l). Let g(b) = 0. What is b?
-1, 1
Factor -6*o**2 + 3/2*o**3 + 0 + 0*o.
3*o**2*(o - 4)/2
Let x be 27/(-3)*(-1 + (-7)/(-9)). What is f in 2/5*f**x + 12/5*f + 18/5 = 0?
-3
Let -195*a - 196*a + a**3 - 17*a**2 + 395*a + 4 + 13*a**4 - 5*a**5 = 0. Calculate a.
-1, -2/5, 1, 2
Suppose -5*i + f = -26, 0 + 2 = -2*f. Let d(g) = -17*g + 21. Let x be d(1). Factor -i*t - 21/4*t**2 + 5*t**3 + 25/4*t**x - 1.
(t - 1)*(t + 1)*(5*t + 2)**2/4
Let a(d) be the first derivative of -d**7/630 + d**6/90 + d**5/60 - 5*d**4/36 - 4*d**3/9 - 23*d**2 + 35. Let i(x) be the second derivative of a(x). Factor i(z).
-(z - 4)*(z - 2)*(z + 1)**2/3
Let v(g) be the second derivative of -g**5/80 + g**3/24 - 5*g - 1. Let v(t) = 0. What is t?
-1, 0, 1
Let t(s) be the second derivative of 0 + 22*s + 0*s**2 + 0*s**3 - 1/48*s**4. Factor t(k).
-k**2/4
Let h(n) be the first derivative of 2*n**6/3 + 4*n**5 - 12*n**4 - 128*n**3/3 + 64*n**2 + 192*n + 42. Determine z, given that h(z) = 0.
-6, -2, -1, 2
Suppose 2*q + d = -22, 5*q - q - 3*d = -24. Let v be 6/q + 8/3. Determine y, given that -3/2*y + 0 + 3/4*y**v + 3/2*y**3 - 3/4*y**4 = 0.
-1, 0, 1, 2
Suppose x - 2*o + 12 = 16, 0 = -3*x - 4*o + 12. Factor -1440/7*i**3 + 128/7 - 108/7*i**5 + 1472/7*i**2 - 704/7*i + 648/7*i**x.
-4*(i - 2)**2*(3*i - 2)**3/7
Suppose -5 = -n + 12 - 15. Factor 0 - 3/4*y + 1/4*y**n.
y*(y - 3)/4
Let c(k) be the third derivative of k**10/60480 - k**8/13440 + 11*k**4/12 + 19*k**2. Let u(b) be the second derivative of c(b). Determine r so that u(r) = 0.
-1, 0, 1
Factor -8/5*u - 12/5*u**3 + 4/5*u**5 + 0 + 4*u**2 - 4/5*u**4.
4*u*(u - 1)**3*(u + 2)/5
Solve -1/5*t**2 - 8/5*t + 9/5 = 0.
-9, 1
Suppose 0 = 51*o - 259*o. Factor l + o + 7/2*l**3 - 9/2*l**2.
l*(l - 1)*(7*l - 2)/2
Let w(r) be the first derivative of r**8/84 - 17*r**7/210 + 8*r**6/45 - 2*r**5/15 + 3*r**3 - 9. Let b(a) be the third derivative of w(a). Factor b(h).
4*h*(h - 2)*(h - 1)*(5*h - 2)
Let s = -100441/7 - -14349. Determine x, given that -s*x**2 + 2 - 12/7*x = 0.
-7, 1
Solve 8/11*b + 2/11*b**2 + 0 = 0 for b.
-4, 0
Find p such that 0 - 4*p**3 + 0*p**4 + 0*p**2 + 16/5*p + 4/5*p**5 = 0.
-2, -1, 0, 1, 2
Let g(w) = -w**2 - 17*w + 4. Let c be g(-17). Suppose -9 = -d + 2*v, 6*v = d + 8*v + 3. Find h such that 0*h - 6/7*h**c + 0 + 10/7*h**d - 4/7*h**2 = 0.
0, 2/3, 1
Let x(q) be the second derivative of 1/4*q**4 + 3/20*q**5 - 10*q - 1/28*q**7 + 0 - 3/4*q**2 - 1/4*q**3 - 1/20*q**6. Factor x(f).
-3*(f - 1)**2*(f + 1)**3/2
Let z(s) be the second derivative of -7*s**6/180 + s**5/6 - s**4/4 - 7*s**3 - 35*s. Let x(k) be the second derivative of z(k). Find y, given that x(y) = 0.
3/7, 1
Let d(t) be the first derivative of 12*t**5/5 - 194*t**4 + 508*t**3/3 + 128*t**2 - 286. Factor d(i).
4*i*(i - 64)*(i - 1)*(3*i + 1)
Let p be (3/6)/(-1)*18/(-54). Let u(c) be the first derivative of -p*c**3 - 3/4*c**2 - c + 14. Factor u(m).
-(m + 1)*(m + 2)/2
Let b be -5 - -1*505/(-175). Let t = 48/5 + b. Factor -8/7*v**3 + t*v**2 - 8/7*v + 2/7*v**4 + 2/7.
2*(v - 1)**4/7
Let o = -1590 - -286201/180. Let r(f) be the third derivative of 0 + 1/36*f**4 + 0*f - o*f**5 - 1/18*f**3 - 4*f**2. Suppose r(p) = 0. What is p?
1
Let q(l) be the third derivative of -1/20*l**5 + 0 + 0*l**4 + 0*l + 0*l**3 - 3/70*l**7 + 3/40*l**6 + 12*l**2 + 1/112*l**8. Factor q(w).
3*w**2*(w - 1)**3
Let j(y) = -18*y**4 - 48*y**3 + 28*y**2 + 31*y + 75. Let i(w) = 3*w**4 + 8*w**3 - 5*w**2 - 5*w - 13. Let r(q) = -34*i(q) - 6*j(q). Determine c so that r(c) = 0.
-2, -1, -2/3, 1
Let w(q) = 0 + 266*q**2 - 1 - 267*q**2. Let x(l) = 9*l**2 + 5. Let s(m) = -14*w(m) - 2*x(m). What is z in s(z) = 0?
-1, 1
Determine y so that 8/5*y - 2/5*y**4 - 2/5 + 8/5*y**3 - 12/5*y**2 = 0.
1
Let m(r) be the first derivative of r**3/2 - 27*r**2/4 + 222. Let m(l) = 0. Calculate l.
0, 9
Suppose 171 + 7 = 2*w. Let m = -86 + w. Factor 4/3*j - 2/3 + 2/3*j**2