 such that -2/9*j**4 + 8/9*j**2 + 2/9*j**3 + 0 - 8/9*j = 0.
-2, 0, 1, 2
Let o(s) be the first derivative of s**3/3 + 28*s**2 + 784*s - 3. Solve o(z) = 0 for z.
-28
Suppose 2*z + 3*z = -l + 23, 5*z - 33 = 4*l. Suppose 5 - 2*c**z + c**2 - c**4 - c**3 + 3*c**5 - 5 = 0. What is c?
-1, 0, 1
Factor 0*j - 24/5*j**2 + 48/5 + 3/5*j**4 + 0*j**3.
3*(j - 2)**2*(j + 2)**2/5
Let u(m) = m - 1. Let s(q) = -q**2 + 7*q - 6. Let j(n) = -3*n**2 + 22*n - 19. Let t(a) = -4*j(a) + 14*s(a). Let b(o) = t(o) - 6*u(o). Factor b(f).
-2*(f - 1)**2
Let u be 18/18*(0 + 0). Let k = u + 2. Factor -4*j + 11*j**2 - 9*j**2 - 10*j**k + 4*j**3 + 8*j**4.
4*j*(j - 1)*(j + 1)*(2*j + 1)
Suppose -3*g + 2*g + 6 = -3*s, -8 = g + 4*s. Let y(a) be the second derivative of -a**2 + 1/6*a**4 + g*a**3 + 0 - 5*a. Factor y(j).
2*(j - 1)*(j + 1)
Let s(y) = -5*y**3 + y**2 + y + 1. Let f(a) = 29*a**3 - 12*a**2 - 17*a - 12. Let j(q) = 5*f(q) + 30*s(q). Find l such that j(l) = 0.
-3, -2, -1
Let k be 2 - 0/(-1 + -1 + 4). Factor -5 - 9*q - 2 + 1 - 61*q**k + 58*q**2.
-3*(q + 1)*(q + 2)
Let d(b) be the third derivative of 0*b + 0 + 0*b**3 - 1/12*b**4 + b**2 - 1/30*b**5. Factor d(v).
-2*v*(v + 1)
Let o(l) = -7*l**3 - 9*l**2 + 10*l + 6. Let s(m) = 6*m**3 + 8*m**2 - 9*m - 5. Let f(w) = 5*o(w) + 6*s(w). Factor f(r).
r*(r - 1)*(r + 4)
Suppose 0 = -2*i + 2*r, 31*i - 33*i = -r - 2. Determine h, given that -4/7 - 2/7*h**3 - 10/7*h - 8/7*h**i = 0.
-2, -1
Let f(d) be the third derivative of -d**8/336 - d**7/21 + d**6/60 + d**5/3 - d**4/24 - 5*d**3/3 - 56*d**2. Find x, given that f(x) = 0.
-10, -1, 1
Suppose -3*n + 7 = -u + 10, -5*u + 15 = -n. Let c(t) be the first derivative of -1/9*t**u + 11 + 4/3*t**2 - 16/3*t. Factor c(a).
-(a - 4)**2/3
Let u be (-2)/7 - ((-144)/14 + 3). Solve -a**2 + 7*a**3 - 10*a**3 + u*a**3 = 0 for a.
0, 1/4
Solve 65*p**3 - 6*p**3 + 800*p + 640 + 5*p**4 - 8*p**3 + 360*p**2 + 19*p**3 = 0 for p.
-4, -2
Let c(a) be the first derivative of 53 + 6*a**2 - 16*a - 2/3*a**3. Factor c(n).
-2*(n - 4)*(n - 2)
Let w(b) be the first derivative of 4*b**6/3 - 4*b**5/5 - 19*b**4 - 124*b**3/3 - 38*b**2 - 16*b - 78. Let w(p) = 0. Calculate p.
-1, -1/2, 4
Let w be ((-9)/81)/(14/(-12)) + (-4)/(-7). Suppose 0 = 3*m - 9. Find r, given that 0 - 1/3*r**m - w*r + r**2 = 0.
0, 1, 2
Let c be 2/((-4)/6) + (7 - 0). Solve -79*n**4 - 87*n**c + 16*n**2 - 4*n**5 + 154*n**4 = 0 for n.
-2, 0, 1
Let u(k) be the third derivative of 6*k**2 + 1/4*k**4 + 3/2*k**3 + 0 + 1/60*k**5 + 0*k. Suppose u(c) = 0. Calculate c.
-3
Let l(q) = -52992*q**3 - 4767*q**2 + 96*q + 3. Let d(x) = -x**3 + 2*x**2 - 1. Let v(u) = 9*d(u) - l(u). Determine m, given that v(m) = 0.
-2/29, 1/21
Let v = -65 - -49. Let t be (8*(-1 + -1))/(-23 - v). Find b, given that -t*b**2 - 4/7 - 8/7*b**3 - 8/7*b**5 + 20/7*b**4 + 16/7*b = 0.
-1, 1/2, 1
Let f = -6 + 8. Suppose z + 4 = -2*s + 3, 4*z - 5*s = 61. Suppose 3*y**f - 7*y**2 + 28*y**2 - 12*y - z*y**3 = 0. Calculate y.
0, 2/3, 2
Let a(h) be the third derivative of -h**8/448 - 13*h**7/70 - 5*h**6/8 + h**5/40 + 101*h**4/32 + 25*h**3/4 + 746*h**2. Find i such that a(i) = 0.
-50, -1, 1
Let h(y) = -4*y**3 - 57*y**2 - 1086*y. Let g(v) = 13*v**3 + 168*v**2 + 3257*v. Let w(s) = 3*g(s) + 10*h(s). Find o such that w(o) = 0.
-33, 0
Let y = -23 + 26. Let r(z) = 7*z**4 + 3*z**3 - 2*z - 3. Let w(b) = 13*b**4 + 7*b**3 - 4*b - 5. Let c be (-4)/6 - 39/9. Let q(x) = c*r(x) + y*w(x). Factor q(i).
2*i*(i + 1)**2*(2*i - 1)
Let 4/3*o**3 + 2/3*o**4 + 0*o + 0 - 2*o**2 = 0. What is o?
-3, 0, 1
What is x in 40/7*x - 38/7*x**3 - 2/7*x**5 + 6/7*x**2 + 18/7*x**4 - 24/7 = 0?
-1, 1, 2, 6
Let p(y) be the first derivative of 1/7*y**2 + 2/21*y**3 - 12/7*y + 21. What is a in p(a) = 0?
-3, 2
Let w(q) = q + 1. Let a = -102 + 100. Let b(v) = v**5 - 3*v**3 + 2*v**2 + 2*v + 2. Let d(f) = a*w(f) + b(f). Factor d(x).
x**2*(x - 1)**2*(x + 2)
Let r(m) be the third derivative of 0*m + 1/8*m**4 - 1/140*m**7 - 19*m**2 - 1/60*m**6 + 0 + 17/120*m**5 + 0*m**3. Factor r(j).
-j*(j - 2)*(j + 3)*(3*j + 1)/2
Let d(h) be the first derivative of -h**3/4 - 15*h**2/2 + 63*h/4 + 87. Find t such that d(t) = 0.
-21, 1
Suppose -5*o - 76 = -3*p, o - 2*p + 7*p = -4. Let j(n) = -n**3 - 13*n**2 + 12*n - 11. Let l be j(o). Let 20*b + 0 - l*b + 3*b**2 + 0 = 0. What is b?
-1, 0
Suppose -109 = b - 3*v, -3*b + 2*b + 4*v = 109. Let d = 111 + b. Factor 1/2*l**d + 1/4*l**3 - 1/4*l - 1/2.
(l - 1)*(l + 1)*(l + 2)/4
Let z(p) be the first derivative of -98*p**5/15 - 161*p**4/3 - 278*p**3/3 - 164*p**2/3 - 40*p/3 + 80. Let z(k) = 0. What is k?
-5, -1, -2/7
Let h(j) = -6*j**2 + 8*j + 8. Let a(i) = -5*i**2 + 7*i + 6. Let u(w) = -7*a(w) + 6*h(w). Find m such that u(m) = 0.
-3, 2
Let g(d) be the first derivative of -d**4/8 - d**3/4 - 5*d - 10. Let h(f) be the first derivative of g(f). Determine s, given that h(s) = 0.
-1, 0
Factor -188442*x**2 + 67*x**3 + 80*x**3 + 184998*x**2 - 2004*x - 288.
3*(x - 24)*(7*x + 2)**2
Let z = 46 + -40. Let m(y) = -y + 9. Let u be m(z). Let -i**4 + 1/4 + 5/4*i + 3/4*i**2 - 5/4*i**u = 0. What is i?
-1, -1/4, 1
Let h(y) = -51*y**2 + 24*y**2 + 15*y + y**3 + 10*y**2 + 16. Let m be h(16). Let -3/2*l - 3/4*l**3 - 27/4*l**5 - 27/4*l**2 + 63/4*l**4 + m = 0. Calculate l.
-1/3, 0, 1, 2
Let n(c) = c**2 + 4. Let z be n(4). Let x be ((-36)/(-24))/(14/z). Factor x*v**3 - 3/7 - 33/7*v**2 + 3*v.
3*(v - 1)**2*(5*v - 1)/7
Suppose 0 = 3*i - i + 532. Let q be (2/(-2) - 0)*228/i. Determine z so that 0 - 4/7*z**3 - q*z**2 + 6/7*z**4 + 4/7*z = 0.
-1, 0, 2/3, 1
Solve -2/11*t + 0 + 2/11*t**2 = 0.
0, 1
Let w be 510/80 + -2 - (-12)/(-6)*2. Let o = 10 + -7. Factor -3/4*y**2 - 3/8*y**o + 0 - w*y.
-3*y*(y + 1)**2/8
Let c(r) be the first derivative of 2/3*r**3 - 11*r**2 + 20*r - 9. Factor c(y).
2*(y - 10)*(y - 1)
Factor -18*l**2 + 3*l + 0 - 1 + 2 + 14*l.
-(l - 1)*(18*l + 1)
Let c(u) = u**3 - u**2 - u. Let d(n) = 9*n**3 + 3*n**2 - n. Let l(r) = 5*c(r) - d(r). Suppose l(o) = 0. What is o?
-1, 0
Let i(s) be the first derivative of -2*s**5/5 + 21*s**4/2 - 76*s**3/3 + 320. Factor i(q).
-2*q**2*(q - 19)*(q - 2)
Suppose -3*k + 2 = 3*a - 8*a, -3*a + 14 = 2*k. Let d(r) be the second derivative of 0 - 2*r + 1/9*r**k + 1/2*r**3 + 1/3*r**2. Suppose d(n) = 0. What is n?
-2, -1/4
Factor 1860*g**2 - 900*g - 3120*g**3 + 732*g**3 + 1367*g**3 + 62*g**4 - g**5.
-g*(g - 30)**2*(g - 1)**2
Suppose -4*o - 2*o + 12 = 0. Let k(h) = 2*h + 6. Let g be k(o). What is n in -65*n**3 - g - 12*n**3 - 75*n - 120*n**2 + 22*n**3 = 0?
-1, -2/11
Let r be (-3)/9 + (-245)/(-105). Suppose 1/4*b**r + 3*b + 9 = 0. Calculate b.
-6
Let v(g) = g**2 + 22*g + 5. Let f be v(0). Let p(y) be the first derivative of -4/15*y**3 + 0*y**2 - 2 - 2/25*y**f + 0*y + 3/10*y**4. Factor p(b).
-2*b**2*(b - 2)*(b - 1)/5
Let a(k) be the third derivative of -k**5/80 + 4*k**4/3 + 43*k**3/24 - 90*k**2. Suppose a(i) = 0. Calculate i.
-1/3, 43
Let s(p) = -p**2 - 11*p - 10. Let v be s(-10). Let u(w) be the third derivative of 0*w + v + 1/48*w**4 + 0*w**3 + 4*w**2 + 1/360*w**5. Factor u(k).
k*(k + 3)/6
Let l(v) be the second derivative of -5*v**4/12 + 335*v**3/6 - 325*v**2 - 435*v. Factor l(j).
-5*(j - 65)*(j - 2)
Determine s, given that -347/3*s - 4/3*s**4 + 91/3*s**2 - 29 + 347/3*s**3 = 0.
-1, -1/4, 1, 87
Factor -154*f**2 + 27*f**3 - 189 + 117 + 184*f - 2*f**4 + 17*f**3.
-2*(f - 18)*(f - 2)*(f - 1)**2
Let l(d) be the first derivative of 8/9*d**3 + 0*d - 1/3*d**2 + 17 + 5/6*d**4. Determine a so that l(a) = 0.
-1, 0, 1/5
Suppose 3*m - 84 = -m. Determine f, given that -f**2 - m*f - 36 + 7*f - 3*f**2 - 10*f = 0.
-3
Let t(h) be the first derivative of -3*h**4/2 - 20*h**3/3 - 3*h**2 - 218. Factor t(z).
-2*z*(z + 3)*(3*z + 1)
Let g(o) = o**2 + 19*o - 16. Let t be g(-21). Factor -9*x - 13*x - 4*x**3 + t*x.
-4*x*(x - 1)*(x + 1)
Let i(t) = 9*t**3 - 35*t**2 + 31*t + 75. Let c(k) = 19*k**3 - 70*k**2 + 61*k + 150. Let l(u) = 4*c(u) - 9*i(u). Solve l(m) = 0.
-1, 3, 5
Let k(q) be the third derivative of 0*q + 1/110*q**5 + 37*q**2 - 4/33*q**3 + 1/33*q**4 - 1/330*q**6 - 1/1155*q**7 + 0. Factor k(t).
-2*(t - 1)**2*(t + 2)**2/11
Let f(k) = -k**2 + 2. Let d(v) = 8*v**2 + 30*v + 40. Let u(s) = -d(s) - 6*f(s). Factor u(n).
-2*(n + 2)*(n + 13)
Let i(m) be the first derivative of 6 - 3*m**3 - 9*m - 15/4*m**4 + 3*m**2. Let b(c) = -7*c**3 - 4*c**2 + 3*c - 4. Let d(z) = 9*b(z) - 4*i(z). Solve