= 0.
0, 1
Let a(b) = 16*b**5 + 278*b**4 + 1420*b**3 + 1732*b**2 + 798*b + 128. Let d(y) = -y**4 + y**2 - y. Let k(v) = a(v) - 2*d(v). Suppose k(o) = 0. Calculate o.
-8, -1/2
Let t(b) = -20*b**3 - 95*b**2 - 10*b + 65. Let g(k) = k**3 + k**2 + k + 1. Let m(y) = 15*g(y) + t(y). Factor m(c).
-5*(c - 1)*(c + 1)*(c + 16)
Let d(b) be the second derivative of -b**7/840 + b**6/360 + b**4/3 + 10*b. Let n(o) be the third derivative of d(o). Find p such that n(p) = 0.
0, 2/3
Let t = -61 - -63. Factor 1566*w - 1573*w + 3*w**3 - 3*w**t + w**2 - 2.
(w - 2)*(w + 1)*(3*w + 1)
Let u(i) be the third derivative of -5*i**8/336 + 5*i**7/21 - 3*i**6/2 + 9*i**5/2 - 45*i**4/8 + 2*i**2 + 230*i. Factor u(l).
-5*l*(l - 3)**3*(l - 1)
Let c(n) be the third derivative of 0*n - 1/105*n**7 - 25*n**2 + 0 + 1/30*n**6 - 5/3*n**4 + 7/30*n**5 + 4*n**3. Factor c(g).
-2*(g - 2)**2*(g - 1)*(g + 3)
Let b be (-1)/(-3) - 70/300. Let n(k) be the second derivative of 6*k + 0 - 7/20*k**5 + 0*k**2 - b*k**6 - 1/6*k**3 - 5/12*k**4. Find x, given that n(x) = 0.
-1, -1/3, 0
Let o = 125 - 132. Let l be (2/(-2))/(-1 + 4 + o). Factor -1/4*w**2 + l + 0*w.
-(w - 1)*(w + 1)/4
Solve -8/9*n**2 + 13/9*n + 2/3 = 0.
-3/8, 2
Let l(x) be the third derivative of x**5/180 - 7*x**4/12 + 49*x**3/2 + 283*x**2. Factor l(n).
(n - 21)**2/3
Let j(u) be the second derivative of 2/15*u**3 - 1/25*u**6 + 1/30*u**4 - 2/25*u**5 + 22*u + 0*u**2 + 0. Factor j(t).
-2*t*(t + 1)**2*(3*t - 2)/5
Determine t so that -2/5*t**4 - 54/5*t + 0 - 54/5*t**2 - 18/5*t**3 = 0.
-3, 0
Let g(o) = o**3 - 19*o**2 - 45*o - 5. Let l be g(-2). Determine a, given that -1/2*a - l + 1/2*a**2 = 0.
-1, 2
Suppose -4*h + 5*h - 2 = 0. Factor -2*q**h + 0*q**2 - 3 + 4 + q**2.
-(q - 1)*(q + 1)
Let u = -2759 + 24806/9. Let d = u - -3. Suppose 0*n**2 + 0 - d*n**3 + 2/9*n = 0. Calculate n.
-1, 0, 1
Let b(x) = -9*x**2 - 139*x - 358. Let v(n) = 110*n**2 + 1670*n + 4295. Let i(z) = 25*b(z) + 2*v(z). Factor i(j).
-5*(j + 3)*(j + 24)
Let z(n) be the second derivative of 2*n**7/21 + 4*n**6/15 - 9*n**5/5 - 2*n**4/3 + 16*n**3/3 - 84*n + 1. Determine t, given that z(t) = 0.
-4, -1, 0, 1, 2
Let n(b) be the third derivative of -1/45*b**5 + 0*b**6 + 1/9*b**3 + 0 - 5*b**2 + 0*b**4 + 0*b + 1/315*b**7. Factor n(f).
2*(f - 1)**2*(f + 1)**2/3
Factor 0 + 0*v**2 + 0*v**4 - 1/4*v - 1/4*v**5 + 1/2*v**3.
-v*(v - 1)**2*(v + 1)**2/4
Factor -20*r**2 - 16*r**3 + 6*r + 10*r + 12*r + 8.
-4*(r - 1)*(r + 2)*(4*r + 1)
Let u(j) = -2*j**2 + 5*j - 3*j - 1 - 4*j**3 + 1. Let r(i) = -i**5 - i**4 - 19*i**3 - 10*i**2 + 9*i. Let n(z) = -2*r(z) + 11*u(z). Suppose n(a) = 0. What is a?
-2, -1, 0, 1
Let b be 4/18 - (319/99 + -3). Let l(q) be the first derivative of -6 + 1/5*q**4 + b*q**5 + 0*q + 0*q**2 - 3/10*q**6 + 0*q**3. Find r such that l(r) = 0.
-2/3, 0, 2/3
Factor -168/5*z - 4/5*z**3 - 68/5*z**2 + 0.
-4*z*(z + 3)*(z + 14)/5
Let o(m) = 4*m**3 + 5*m**2 + 9*m + 3. Let z(y) = y**3. Let v(x) = o(x) - 2*z(x). Let g(c) = 2*c**3 + 6*c**2 + 8*c + 2. Let j(t) = 3*g(t) - 2*v(t). Factor j(n).
2*n*(n + 1)*(n + 3)
Let r(f) = 5*f**2 - 41*f - 36. Let t(k) = k**2 - k - 6. Let d(v) = -r(v) + 6*t(v). Factor d(a).
a*(a + 35)
Let p = -20053 + 20056. Factor 1/8*l**p + 0*l - 1/8*l**2 + 0.
l**2*(l - 1)/8
Let u be 2*(63/(-126) - (-1 + -1)). Let 2*n - 1/2*n**u - n**2 + 4 = 0. Calculate n.
-2, 2
Let r(k) be the second derivative of -1/6*k**3 - 39*k + 0*k**2 - 1/80*k**5 + 0 - 5/48*k**4. Let r(l) = 0. What is l?
-4, -1, 0
Let h(a) = -4*a**4 + 85*a**3 - 237*a**2 - 1267*a - 968. Let b(k) = -k**4 + 21*k**3 - 59*k**2 - 317*k - 242. Let p(i) = -9*b(i) + 2*h(i). Factor p(v).
(v - 11)**2*(v + 1)*(v + 2)
Let o = 51604 + -51601. Factor -10/3*k**2 - 14*k - 98/9 - 2/9*k**o.
-2*(k + 1)*(k + 7)**2/9
Let x = 83 + -81. Factor 21*k**2 + 15*k**2 + k**5 - x*k**4 - k**3 - 34*k**2.
k**2*(k - 2)*(k - 1)*(k + 1)
Let y(n) be the first derivative of -1/4*n**4 + 0*n**5 + 0*n**2 + 1/18*n**6 + 0*n + 4 + 2/9*n**3. Let y(m) = 0. What is m?
-2, 0, 1
Let b(i) be the first derivative of i**6/24 - 5*i**4/6 - i**2 - 10. Let q(s) be the second derivative of b(s). Factor q(r).
5*r*(r - 2)*(r + 2)
Let y(q) be the second derivative of -q**4/3 - 676*q**3/3 - 57122*q**2 - 3*q + 148. Factor y(d).
-4*(d + 169)**2
Let h(y) = -y**2. Let m(w) = -7*w**2 + 25*w - 20. Let k(j) = 2*h(j) - m(j). Find s, given that k(s) = 0.
1, 4
Let d(q) be the second derivative of -42*q - 6/11*q**2 - 1/66*q**4 + 0 - 5/33*q**3. Factor d(v).
-2*(v + 2)*(v + 3)/11
Let p(k) be the third derivative of -k**5/360 + 7*k**4/144 - k**3/6 - 17*k**2 - 2. Factor p(a).
-(a - 6)*(a - 1)/6
Let s(q) be the third derivative of 0*q**4 + 1/280*q**6 + 0*q - 2*q**2 + 0 + 0*q**3 + 1/70*q**5. Factor s(g).
3*g**2*(g + 2)/7
Let w(m) = 10*m**3 - 5*m**2 - 15*m - 5. Let a(t) = t**4 - 11*t**3 + 3*t**2 + 15*t + 4. Let x(z) = -5*a(z) - 4*w(z). Factor x(r).
-5*r*(r - 3)*(r - 1)*(r + 1)
Let f(i) be the third derivative of 7/6*i**4 + 3/5*i**5 + 0*i + 2/105*i**7 - 32*i**2 + 1/6*i**6 + 4/3*i**3 + 0. Factor f(t).
4*(t + 1)**3*(t + 2)
Let j(p) be the second derivative of -12*p**2 + 14/3*p**3 - 8*p + 0 - 1/3*p**4. Suppose j(w) = 0. What is w?
1, 6
Let j = 3/289 - -569/867. Find f, given that j - f**2 - 5/3*f = 0.
-2, 1/3
Let q = 6328/5 - 1265. Let q*j**3 + 18/5*j**4 - 4/5*j**2 + 0 - 1/5*j = 0. What is j?
-1/3, 0, 1/2
Suppose -2*b = 0, -3*y = 2*y + 2*b - 10. Let -1/2*n**3 + 0 + 0*n - n**4 + 0*n**y - 1/2*n**5 = 0. Calculate n.
-1, 0
Let g(j) = 5*j**2 + 43*j - 48. Let t(h) = 2*h**2 + 22*h - 24. Let w(c) = -6*g(c) + 14*t(c). Let w(u) = 0. What is u?
1, 24
Let p = -1829 + 1832. Determine t so that 4/13 - 6/13*t**p - 14/13*t + 16/13*t**2 = 0.
2/3, 1
Let k = 81 - 76. Solve -603 + 0*l - k*l**2 + 103 + 100*l = 0 for l.
10
Let c = -21/10 - -47/20. Let t(k) be the second derivative of 3*k + 0*k**4 + c*k**2 - 1/20*k**5 + 1/6*k**3 - 1/60*k**6 + 0. Factor t(z).
-(z - 1)*(z + 1)**3/2
Let z = 469/7194 - 1/218. Let i(s) be the first derivative of 0*s + 0*s**4 + 3 + z*s**3 + 0*s**2 - 2/55*s**5. Suppose i(x) = 0. Calculate x.
-1, 0, 1
Let s(w) = -2*w**2 - 28*w + 2. Let i be s(-14). Let f be (5/(-2) - -2) + 3 - i. Factor f*g**2 - 4*g + 8.
(g - 4)**2/2
Let l(g) be the second derivative of 7*g**4/3 + 92*g**3 - 80*g**2 - 514*g. Solve l(z) = 0 for z.
-20, 2/7
Let w be (14/56)/((-9)/(-12)). Let i(l) be the second derivative of -5*l + 0*l**2 - 1/10*l**5 + w*l**4 - 1/3*l**3 + 0. What is j in i(j) = 0?
0, 1
Find q such that -2/9*q**4 + 0 + 38/9*q**2 + 16/3*q - 4/3*q**3 = 0.
-8, -1, 0, 3
Let u(f) be the third derivative of f**9/37800 - f**8/16800 + f**4/24 + 6*f**2. Let v(b) be the second derivative of u(b). Suppose v(d) = 0. Calculate d.
0, 1
Factor -505*o**2 - 499*o**2 + 62 - 33*o + 1005*o**2.
(o - 31)*(o - 2)
Suppose -5 = 2*w - c, 5*w = 4*w - 4*c + 20. What is n in w + 1/6*n**2 - 1/2*n = 0?
0, 3
Let n(r) be the third derivative of r**10/30240 + r**9/6048 - r**8/1344 + 3*r**5/10 - 20*r**2. Let x(f) be the third derivative of n(f). Factor x(b).
5*b**2*(b - 1)*(b + 3)
Let s be 34 + (-4960)/128 + 7 + -2. What is v in -1/4*v - 1/2 + s*v**2 = 0?
-1, 2
Let i(s) = -122*s - 10246. Let x be i(-84). Factor 40/3*g - 100/3 - 4/3*g**x.
-4*(g - 5)**2/3
Factor 6 + 99/2*u**2 - 54*u - 12*u**3.
-3*(u - 2)**2*(8*u - 1)/2
Find c such that 1 + 41/5*c - 27/5*c**5 + 98/5*c**2 - 27*c**4 + 18/5*c**3 = 0.
-5, -1/3, 1
Let j be (-19)/114 + (-2)/(-12). Let i be j/(-2)*(3 - 1)/2. Factor i + 2/15*l - 2/15*l**2.
-2*l*(l - 1)/15
Let r(u) be the third derivative of -u**6/540 + 23*u**5/15 - 1587*u**4/4 + 17*u**2 - 4*u. Factor r(l).
-2*l*(l - 207)**2/9
Let h(v) be the third derivative of 0 + 1/40*v**6 + 0*v + 2*v**3 + 1/4*v**5 + 25*v**2 + v**4. Let h(m) = 0. What is m?
-2, -1
Let y(r) be the first derivative of -r**6/200 - 3*r**5/100 - 3*r**4/40 - r**3/10 - 9*r**2 + 18. Let i(s) be the second derivative of y(s). Factor i(p).
-3*(p + 1)**3/5
Suppose -15*d**4 - 2*d**2 + 16 + 7*d**2 + 3*d**3 - 3*d**5 - 16 + 10*d**2 = 0. Calculate d.
-5, -1, 0, 1
Let l(s) be the third derivative of -3/56*s**4 + 1/140*s**6 + 1/14*s**3 + 1/784*s**8 + 1/70*s**5 + 0*s + 0 + 2*s**2 - 3/490*s**7. What is r in l(r) = 0?
-1, 1
Let i(l) be the third derivative of 0 - 1/4*l**5 + 0*l + l**4 - 2*l**3 + 14*l**2 + 1/40*l**6. Determine z so that i(z) = 0.
1, 2
Let d(a) = -4*a**3 - 16*a**2 + 25*a - 10. Let k(n) = 2*n**3 + 8