3*j**5 - 1/3*j**4 + 0 + 0*j**2 + 0*j = 0.
0, 1
Let g be 1*(0/5)/4. Factor 0*c**3 + g*c**2 + 2/5*c**5 + 0 + 0*c + 2/5*c**4.
2*c**4*(c + 1)/5
Let h = -10 + 9. Let m(g) = 5*g**4 + 4*g**3 - g**2 - 6*g + 6. Let o(u) = u**4 + u**3 - u + 1. Let q(r) = h*m(r) + 6*o(r). Determine p, given that q(p) = 0.
-1, 0
What is d in 9*d**3 + 12*d - 36*d + 12*d**4 + 68*d**2 - 65*d**3 = 0?
0, 2/3, 1, 3
Suppose -135 = 6*p - 165. Solve 0*x**2 - 2/3*x**p - 4/9*x**4 + 2/9*x**3 + 0 + 0*x = 0 for x.
-1, 0, 1/3
Let c(b) be the third derivative of 0 - b**2 + 0*b + 2/27*b**3 + 1/108*b**4 - 1/270*b**5. Factor c(x).
-2*(x - 2)*(x + 1)/9
Find p such that -4/3*p**3 + p + 2/3 + 0*p**4 - 2/3*p**2 + 1/3*p**5 = 0.
-1, 1, 2
Let z(a) be the first derivative of -a**3/18 + a**2/6 - 19. Let z(r) = 0. What is r?
0, 2
Let d be ((-2)/(-146))/((-1)/4). Let a = 328/657 + d. Determine l, given that -a*l**2 + 2/9*l**4 + 0*l + 2/9 + 0*l**3 = 0.
-1, 1
Factor 1/5*z**3 + 0*z**2 + 0 + 0*z.
z**3/5
Let k(g) = -5*g - 67. Let l be k(-14). Factor 3/2 - l*j**2 + 0*j**3 + 0*j + 3/2*j**4.
3*(j - 1)**2*(j + 1)**2/2
Let m(f) be the first derivative of f**5/25 - f**4/5 + 2*f**3/15 + 2*f**2/5 - 3*f/5 - 67. Factor m(u).
(u - 3)*(u - 1)**2*(u + 1)/5
Let m = -31 - -21. Let z = m + 16. Factor r**3 - 4*r**2 - 2 + z*r**2 + 2*r - 3*r**3.
-2*(r - 1)**2*(r + 1)
Determine j, given that 1/7*j**5 - 4/7*j**2 + 2/7 + 1/7*j + 2/7*j**4 - 2/7*j**3 = 0.
-2, -1, 1
Let y(j) = -j**2 - j + 1. Let r(o) = o**3 + 6*o**2 + 4*o - 4. Suppose 0 = 5*v - 4*n + 72, -7 = -5*n + 8. Let d(q) = v*y(q) - 3*r(q). Factor d(f).
-3*f**2*(f + 2)
Let l be 59*(34/11 + -3) - 5. Find p such that -l*p + 0 + 2/11*p**2 = 0.
0, 2
Factor 2*n**2 + 12 - 9 - 7 + 2*n.
2*(n - 1)*(n + 2)
Let h be -7*((-4)/26 + 50/(-182)). Let q(y) be the first derivative of 0*y + 2/5*y**2 + 1 - 2/5*y**5 + 6/5*y**4 - 6/5*y**h. Suppose q(o) = 0. Calculate o.
0, 2/5, 1
Suppose 0*i**4 + 3/2*i + 0*i**2 + 0 - 3*i**3 + 3/2*i**5 = 0. Calculate i.
-1, 0, 1
Let r(p) be the third derivative of -p**7/210 + p**6/60 - p**4/12 + p**3/6 + 5*p**2. Factor r(j).
-(j - 1)**3*(j + 1)
Find p, given that -2/3*p**5 + 0 + 1/6*p - 3/2*p**3 + 1/6*p**2 + 11/6*p**4 = 0.
-1/4, 0, 1
Factor -8/5*p**4 + 2/3*p**5 - 4/15*p**2 + 0*p + 0 + 6/5*p**3.
2*p**2*(p - 1)**2*(5*p - 2)/15
Let y(m) be the second derivative of -7*m + 0*m**2 + 1/10*m**5 - 2/15*m**3 + 1/10*m**4 + 0. Factor y(z).
2*z*(z + 1)*(5*z - 2)/5
Let q(r) be the first derivative of -r**5/15 + r**4/12 - 1. Factor q(k).
-k**3*(k - 1)/3
Let z(w) = -2*w + 22. Let u be z(10). Factor 0 + l**u - 3/2*l**3 + 0*l.
-l**2*(3*l - 2)/2
Let n(q) = 3*q**3 + 5*q**2 + 6*q + 4. Let p(c) = 2*c**3 + 3*c**2 + 3*c + 2. Let a(t) = 3*n(t) - 5*p(t). Factor a(j).
-(j - 2)*(j + 1)**2
Let -1 - 1 + 1 + 3 - 2*m**2 = 0. Calculate m.
-1, 1
Let c be ((0 - 0) + -1)*-2. Find q such that 4*q**4 + c*q**5 - q**5 + q**5 + 2*q**3 = 0.
-1, 0
Factor 2*b + 11*b**2 - 8*b**2 + 0*b.
b*(3*b + 2)
Suppose -2/11*z**3 - 4/11*z + 0 + 6/11*z**2 = 0. Calculate z.
0, 1, 2
Let p(a) = a - 4. Let z be p(6). Suppose -28 = -4*k + 5*r, z + 4 = -k - 2*r. Suppose w**k + w + 2 - 2 = 0. Calculate w.
-1, 0
Let l(j) be the second derivative of 0*j**2 + 0*j**3 + 0 - 1/30*j**4 + 5*j. Find a, given that l(a) = 0.
0
Let m(b) be the first derivative of -b**6/105 + b**5/35 - b**4/42 + 3*b + 2. Let p(f) be the first derivative of m(f). Factor p(a).
-2*a**2*(a - 1)**2/7
Find l such that 0 + 1/3*l**2 - 1/3*l = 0.
0, 1
Let c(m) be the second derivative of m**4/28 - 2*m**3/7 + 6*m**2/7 - 10*m. Factor c(o).
3*(o - 2)**2/7
Let s(z) be the third derivative of z**7/2940 - z**6/630 + z**5/420 - z**3/2 + 4*z**2. Let b(l) be the first derivative of s(l). Factor b(j).
2*j*(j - 1)**2/7
Let -2/9*a**4 + 0*a + 0 + 0*a**3 + 2/9*a**2 = 0. What is a?
-1, 0, 1
Let y be ((-2)/14)/(900/(-105)). Let t(d) be the second derivative of 0*d**2 + 1/42*d**7 - d + y*d**6 + 0*d**4 + 0 + 0*d**3 - 1/40*d**5. Factor t(g).
g**3*(g + 1)*(2*g - 1)/2
Let n(c) be the second derivative of c**4/42 - c**3/21 - 9*c. Factor n(q).
2*q*(q - 1)/7
Let i be 24/56 - 0/(-5 - -2). Factor 0 - i*r + 3/7*r**2.
3*r*(r - 1)/7
Factor 4*b**4 + 6*b**5 + b**3 - 8*b**5 - 3*b**3.
-2*b**3*(b - 1)**2
Determine t so that 3 + 5*t**3 + 80*t - 3 - 40*t**2 = 0.
0, 4
Let n(t) be the third derivative of t**8/784 + t**7/245 + t**6/280 + 5*t**2. Solve n(y) = 0.
-1, 0
Solve 4*n**2 - 2*n**4 - 12*n**5 - 2*n**2 + 2*n**3 + 10*n**5 = 0.
-1, 0, 1
What is u in -80/3 + 275/3*u**3 - 260*u**2 + 125/3*u**4 + 460/3*u = 0?
-4, 2/5, 1
Let o(d) = d**3 - 5*d**2 - d - 1. Let u(l) = 6*l**3 - 26*l**2 - 6*l - 6. Let a(t) = 16*o(t) - 3*u(t). Suppose a(m) = 0. Calculate m.
-1, 1
Let s(d) = -1 + 6*d + 0 + 1 + d**3. Let f(n) = -3*n**3 - 17*n. Let w(z) = -6*f(z) - 17*s(z). What is i in w(i) = 0?
0
Let k = 4 + 1. Factor -4*a**2 - 6*a**4 + 6*a**2 - 2*a**5 + 6*a**k + 0*a**4.
2*a**2*(a - 1)**2*(2*a + 1)
Let a(y) be the second derivative of y**8/560 - y**7/168 + y**6/240 - y**4/3 - y. Let s(v) be the third derivative of a(v). Factor s(l).
3*l*(l - 1)*(4*l - 1)
Let n(c) be the second derivative of c**6/10 + 9*c**5/20 + 3*c**4/4 + c**3/2 - 2*c**2 + 3*c. Let y(l) be the first derivative of n(l). Factor y(w).
3*(w + 1)**2*(4*w + 1)
Let r(b) = -b + 13. Let d be r(11). Suppose d*i = -0*i. Factor 1/3*m**4 + i + 1/3*m**2 + 0*m + 2/3*m**3.
m**2*(m + 1)**2/3
Factor 3*m + 3*m**2 + m**3 + 3*m + m**3 - 5*m**3.
-3*m*(m - 2)*(m + 1)
Let n(p) = p**2 - 8*p + 15. Let b be n(6). Suppose 0 + 48/7*f**4 - 8/7*f**2 - 4*f**5 - 12/7*f**b + 0*f = 0. What is f?
-2/7, 0, 1
Suppose 2*p = 3*q + 4, q - 4*p + 12 = 4. Let t = 15/2 + -7. Find f, given that q + 1/4*f**2 + t*f = 0.
-2, 0
Let w(v) be the first derivative of 0*v**2 + 0*v + 1 + 1/3*v**3. Factor w(j).
j**2
Suppose m = 4*m - 18. Let l(k) be the third derivative of -1/75*k**5 + 0*k**3 + 1/300*k**m + 0*k + 0 + 1/60*k**4 - 2*k**2. Factor l(i).
2*i*(i - 1)**2/5
Let m = -32419/861 - 4/287. Let r = -37 - m. Factor 4/3*p + r*p**2 + 2/3.
2*(p + 1)**2/3
Find r such that -10/3 - 1/3*r**3 + 4/3*r**2 + 7/3*r = 0.
-2, 1, 5
Let n be (-23)/(-7) + 6/(-21). Determine q, given that 2*q**2 - n*q**4 + 2*q**2 - 2 + q**4 = 0.
-1, 1
Suppose -3*z + 6 = -0*z. Let t(u) = -u**2 + 9*u - 12. Let g be t(4). Find w such that 21/2*w**4 - z - 17/2*w**2 + 7/2*w**3 - g*w + 9/2*w**5 = 0.
-1, -2/3, 1
Let b = -249/22 - 46/11. Let g = -15 - b. Factor 0 - g*m**2 - 1/2*m.
-m*(m + 1)/2
Let w(d) be the third derivative of -d**6/120 + d**5/12 - d**4/6 + d**2. Let a be w(4). Factor a*n - 1/2*n**2 - 1/2*n**4 + n**3 + 0.
-n**2*(n - 1)**2/2
Let f = -35 - -97. Factor -f - x**2 + 60 + 2*x**2 - x.
(x - 2)*(x + 1)
Let r(q) be the first derivative of q**5/20 - 3*q**4/8 + q**3 - 5*q**2/2 + 2. Let m(n) be the second derivative of r(n). Find d, given that m(d) = 0.
1, 2
Let t(d) be the first derivative of -5*d**3/3 + 15*d**2/2 + 51. Solve t(r) = 0.
0, 3
Let s(g) = g**2 - g + 30. Let z be (-6)/9 - 2/(-3). Let u be s(z). Find a, given that 14 + 7*a**2 - 16*a**2 - 6 + u*a**3 - 29*a**2 = 0.
-2/5, 2/3, 1
Let z(j) be the second derivative of 0*j**2 + 1/60*j**5 + 4*j - 1/18*j**4 + 1/30*j**6 + 0 + 0*j**3. Factor z(r).
r**2*(r + 1)*(3*r - 2)/3
Suppose -52*i**2 + 32*i**4 - 12*i - 31*i**3 + 0*i + 29*i**4 + 25*i**5 + 9*i**4 = 0. Calculate i.
-3, -2/5, 0, 1
Suppose -18 + 3 = -5*s. Let -3*h**5 + 6*h**5 - h**s + h**2 - 2*h**5 - h**4 = 0. What is h?
-1, 0, 1
Determine d so that 3/5*d**3 - 12/5 + 3/5*d**2 - 12/5*d = 0.
-2, -1, 2
Let s(l) be the third derivative of -2*l**2 - 1/60*l**5 + 0*l - 1/6*l**4 + 0 - 2/3*l**3. Factor s(k).
-(k + 2)**2
Let p = 65 + -60. Let w(m) be the second derivative of 2*m - 1/80*m**p + 0*m**2 + 0*m**3 + 1/24*m**4 + 0. Suppose w(f) = 0. What is f?
0, 2
Let x(v) be the second derivative of -v**6/15 - 3*v**5/10 - v**4/2 - v**3/3 + 3*v. Factor x(q).
-2*q*(q + 1)**3
Factor 6*f**2 - 3*f**2 - 251 + 30*f + 326.
3*(f + 5)**2
Let k(a) be the second derivative of a**5/10 - a**4/6 - 6*a. Factor k(i).
2*i**2*(i - 1)
Find p such that 7 + 16 - 40*p - 5*p**2 + 22 = 0.
-9, 1
Suppose 0 = -2*t + 6*t - 8. Let i = 2 - t. Let i - 2/9*r**2 + 0*r = 0. Calculate r.
0
Let j = -12 - -12. Let a(v) be the third derivative of 1/8*v**6 + j*v + 0*v**3 - v**2 + 3/70*v**7 + 0 + 1/24*v**4 + 7/60*v**5. Determine y, given that a(y) = 0.
-1, -1/3, 0
Let l(n) be the second derivative of n