0*i**4 - 1/69*i**6 + 0*i**2 - 6 + 0*i. Factor w(n).
-2*n**2*(n - 1)*(n + 2)**2/23
Let o(s) be the first derivative of -s**5/20 + 3*s**4/16 + s**3/12 - 3*s**2/8 - 74. Suppose o(m) = 0. What is m?
-1, 0, 1, 3
Suppose 0 = 3*v + 2*r - 5*r - 3, 2*v = -3*r - 3. Suppose v = -4*c - 0 + 24. Let 2*z**3 + 9*z**4 - 2*z**3 - 6*z**4 - c*z**3 = 0. What is z?
0, 2
Let f(t) be the first derivative of -1/9*t**3 + 0*t**2 + 0*t - 13. Factor f(g).
-g**2/3
Solve -89/3*m + 0 + 1/3*m**2 = 0 for m.
0, 89
Let j(t) = 7*t**2 - 10*t - 7. Let m(i) = -2*i + 12. Let o be m(5). Let n(w) = 3*w**2 - 5*w - 4. Let d(y) = o*j(y) - 5*n(y). Let d(p) = 0. What is p?
-1, 6
Let o be (14/12)/(365/1314). Determine a so that 0*a**2 + 0 + o*a**5 + 27/5*a**4 + 0*a + 6/5*a**3 = 0.
-1, -2/7, 0
Let t(u) = -5*u**3 - 538*u**2 - 32404*u - 648002. Let b(p) = -p**3 + p**2 - 2*p - 1. Let j(v) = -2*b(v) + t(v). Factor j(k).
-3*(k + 60)**3
Determine x, given that -192/17*x**2 - 64/17*x**3 + 0 + 2/17*x**5 + 0*x + 4/17*x**4 = 0.
-4, 0, 6
Suppose -23*q = -27*q + 3*z - 7, 0 = 2*q + 3*z - 19. Solve 0*s + 0 + 6*s**q + 9/2*s**3 - 3/2*s**4 = 0.
-1, 0, 4
Let a(j) = -5*j - 12. Let x be a(-3). Determine r, given that -4*r + 23 + 4*r**2 + 36*r + 4*r**x - 7 + 16*r**2 = 0.
-2, -1
Let j = 3439 + -61877/18. Let w(r) be the first derivative of -4*r**2 + 5 + 16/9*r + 20/9*r**3 + j*r**4. Factor w(u).
2*(u + 2)*(5*u - 2)**2/9
Factor 0 + 1/2*i**4 - 3/4*i**3 - 3/4*i - 2*i**2.
i*(i - 3)*(i + 1)*(2*i + 1)/4
Let s(d) = 12*d**4 - 12*d**2 - 8. Suppose -6*i + 11*i = 5. Let q(o) = o**4 - o**2 - 1. Let a(f) = i*s(f) - 8*q(f). Factor a(v).
4*v**2*(v - 1)*(v + 1)
Factor 30*z + 30*z**3 - 24*z**4 - 39*z**4 + 68*z**4 + 55*z**2.
5*z*(z + 1)*(z + 2)*(z + 3)
Let k(y) = -y**4 - y**2 + y + 1. Let i = 8 - 14. Let v = -4 - i. Let g(r) = -7*r**3 + 6*r + 1. Let b(x) = v*g(x) - 6*k(x). Factor b(a).
2*(a - 1)**3*(3*a + 2)
Let d = -10 + -18. Let f be d/(-5) + 9/(36/(-8)). Find w, given that -3/5*w + 27/5*w**5 - f*w**4 + 18/5*w**2 + 0 - 24/5*w**3 = 0.
-1, 0, 1/3, 1
Suppose -4/5*k**3 + 2/5 - 2/5*k**2 + 0*k**4 + 1/5*k**5 + 3/5*k = 0. What is k?
-1, 1, 2
Let b(z) = 5*z**4 + 9*z**3 - 14*z**2 - 11*z. Let y(c) = c**4 + 2*c**3 - 3*c**2 - 2*c. Let x(k) = -2*b(k) + 11*y(k). Solve x(f) = 0 for f.
-5, 0, 1
Let m(s) = s**5 + s**4 - s + 2. Let q(o) = -15*o**5 - 3*o**4 - 6*o**3 + 12*o - 24. Let j(h) = 12*m(h) + q(h). Factor j(i).
-3*i**3*(i - 2)*(i - 1)
Let m(d) be the third derivative of -d**7/35 + 13*d**6/90 - d**5/6 - d**4/18 + 23*d**2. Solve m(f) = 0 for f.
-1/9, 0, 1, 2
Let z = 32276/11 - 2934. Factor 0 + z*j**2 + 2/11*j**3 + 0*j.
2*j**2*(j + 1)/11
Let g(n) = -n**3 - 22*n**2 + 3. Let z be g(-22). What is t in 30*t**3 + 34*t**z - 66*t**3 - 32 - 16*t + 14*t**2 = 0?
-1, 4
Let m(w) = -8*w**2 + 4*w + 27. Let l(h) = -14*h**2 + 8*h + 55. Let j(p) = -3*l(p) + 5*m(p). Let j(t) = 0. Calculate t.
-3, 5
Suppose 16 + 2/7*f**3 - 4*f**2 + 82/7*f = 0. Calculate f.
-1, 7, 8
Let s(h) be the third derivative of h**6/1020 - 4*h**5/255 - 11*h**4/51 - 16*h**3/17 - 8*h**2 + 3. Factor s(g).
2*(g - 12)*(g + 2)**2/17
Let k(j) be the first derivative of -3*j**5/160 - 3*j**4/32 - 3*j**3/16 - 3*j**2/16 - 3*j - 9. Let v(i) be the first derivative of k(i). Solve v(y) = 0.
-1
Let c(v) = 15*v**3 - 19*v**2 + 8*v. Let t(r) be the third derivative of r**6/8 - 3*r**5/10 + 3*r**4/8 - 16*r**2. Let a(k) = 3*c(k) - 2*t(k). Factor a(u).
3*u*(u - 1)*(5*u - 2)
Let v = 1145/6 + -5527/30. What is y in 6/5*y**5 + 63/5*y**3 + 12/5*y - v*y**4 - 48/5*y**2 + 0 = 0?
0, 1/2, 1, 2
Let r(m) be the second derivative of -5/54*m**4 + 0 - 49*m - 14/9*m**3 - 16/9*m**2. Let r(g) = 0. Calculate g.
-8, -2/5
Suppose 4 = -2*b + 22. Factor -13*f**3 - b*f**4 + 4*f**3 + 0*f**5 - 3*f**5 - 3*f**2.
-3*f**2*(f + 1)**3
Let g(l) = -8*l**4 + 30*l**3 - 25*l**2 + 3. Let d(j) = 9*j**4 - 30*j**3 + 25*j**2 - 4. Let b(i) = 3*d(i) + 4*g(i). Factor b(t).
-5*t**2*(t - 5)*(t - 1)
Let g(k) = -5*k**4 - 5*k**3 - 15*k**2 + 5*k. Let u(v) = v**2. Let s(c) = g(c) + 20*u(c). Solve s(w) = 0 for w.
-1, 0, 1
Let g(z) be the second derivative of z**8/36960 + z**7/3465 + z**6/990 - 5*z**4/4 - 7*z. Let p(h) be the third derivative of g(h). Factor p(s).
2*s*(s + 2)**2/11
Let d(g) = -g**2 - g + 1. Let i(p) = -45*p - 95. Let j(y) = 5*d(y) - i(y). Suppose j(w) = 0. Calculate w.
-2, 10
Find m, given that 550/3*m**3 + 0*m + 0 + 250/3*m**2 + 205/6*m**4 + 5/3*m**5 = 0.
-10, -1/2, 0
Let x(z) = -19*z - 25. Let n be x(-4). Factor 34*h**3 + 25*h**3 + 4*h**2 + 5*h**4 - n*h**3 + h**5.
h**2*(h + 1)*(h + 2)**2
Let h(i) be the third derivative of -i**5/12 + 5*i**4/12 - 5*i**3/6 - i**2 - 52. Solve h(p) = 0.
1
What is v in -4*v**2 + 81*v - v**2 + 3*v**2 - 2*v**2 + 3*v**2 = 0?
0, 81
Let i be (-4 - (-176)/40)*1. Solve 2/5*n**4 + 0 - 2/5*n - 2/5*n**2 + i*n**3 = 0.
-1, 0, 1
Let b(h) be the third derivative of 0*h + 1/210*h**7 + 0 + 19*h**2 + 0*h**6 + 0*h**3 + 0*h**5 + 0*h**4. Factor b(z).
z**4
Let q = 3119/3 - 1039. Let l be -4 - 92/(-12) - 3. Solve 0 - q*b + l*b**2 = 0 for b.
0, 1
Factor -2883/2*y + 372*y**2 + 0 - 24*y**3.
-3*y*(4*y - 31)**2/2
Let q(j) be the second derivative of -3*j**5/100 + j**4/10 + 3*j**3/10 - 30*j + 2. Factor q(g).
-3*g*(g - 3)*(g + 1)/5
Factor -144/5*f - 2/25*f**3 - 78/25*f**2 + 32.
-2*(f - 1)*(f + 20)**2/25
Let m = 97/37 - 277/148. What is a in 6*a - m*a**2 - 21/4 = 0?
1, 7
Let q(b) be the third derivative of -16*b**2 + 2/3*b**4 + 0*b + 1/15*b**5 + 0 + 8/3*b**3. Let q(y) = 0. Calculate y.
-2
Let h(z) = -90*z**4 + 573*z**3 - 753*z**2 + 339*z + 81. Let r(x) = 7*x**4 - 44*x**3 + 58*x**2 - 26*x - 6. Let t(c) = -2*h(c) - 27*r(c). Factor t(u).
-3*u*(u - 2)**2*(3*u - 2)
Suppose -4/3*u + 0 + u**3 - 4/9*u**2 + 1/9*u**5 + 2/3*u**4 = 0. What is u?
-3, -2, 0, 1
Suppose c - 2*w - 2*w - 2 = 0, -6 = -3*c + 4*w. Let j(o) be the first derivative of 1/9*o + 4 + 7/18*o**c + 1/4*o**4 + 5/9*o**3. Factor j(h).
(h + 1)*(3*h + 1)**2/9
Let x(k) be the second derivative of -k**6/10 + 3*k**5/5 - k**4/2 - 2*k**3 + 9*k**2/2 + 6*k + 9. Suppose x(r) = 0. What is r?
-1, 1, 3
Let d = 5746 - 5741. Factor 95/3*s**2 + 20/3*s**4 + 20/3 - 70/3*s - 5/6*s**d - 125/6*s**3.
-5*(s - 2)**3*(s - 1)**2/6
Let l(k) be the first derivative of -7*k**4 - 20*k**3/3 + 21*k**2/2 + 13*k - 6. Let q(x) = 7*x**3 + 5*x**2 - 5*x - 3. Let i(f) = -6*l(f) - 26*q(f). Factor i(r).
-2*r*(r + 1)*(7*r - 2)
Let m(f) = -f**2 + 7*f - 7. Let t be m(5). What is i in -4*i**2 - 2*i - 14*i**t - 2*i**2 + 10*i**3 = 0?
-1, -1/2, 0
Determine j so that -119/6*j + 11/6*j**3 - 49/3 - 3/2*j**2 - 1/6*j**4 = 0.
-2, -1, 7
Let s = -1887/8 + 237. Determine q so that 0 + 3/8*q + s*q**2 = 0.
-1/3, 0
Let t(f) be the third derivative of -f**5/30 + 19*f**4/12 + 20*f**3/3 + 111*f**2. Factor t(y).
-2*(y - 20)*(y + 1)
Let x(c) be the third derivative of -7*c**2 + 1/36*c**4 + 1/336*c**8 + 0 - 1/72*c**6 + 0*c**3 + 0*c + 1/180*c**5 - 1/630*c**7. Solve x(q) = 0 for q.
-1, -2/3, 0, 1
Let k(z) be the first derivative of z**2 + 1 - 1/20*z**5 + 0*z**4 - 6*z + 1/2*z**3. Let a(b) be the first derivative of k(b). Factor a(l).
-(l - 2)*(l + 1)**2
Factor -43*w**2 + 334*w - 37*w**2 + 96 - 38*w**2 - 43*w**2 + 154*w**2.
-(w - 48)*(7*w + 2)
Let u(o) be the second derivative of -o**6/2160 + o**5/180 - o**4/36 + 19*o**3/6 + 15*o. Let z(g) be the second derivative of u(g). Solve z(c) = 0.
2
Let l(f) be the first derivative of -f**6/15 - 66*f**5/25 - 144*f**4/5 - 512*f**3/15 - 291. Suppose l(o) = 0. What is o?
-16, -1, 0
Suppose 1/3*y**2 + 73/3*y + 24 = 0. What is y?
-72, -1
Suppose u = 3*s + 3 - 20, -31 = -5*s + 3*u. Factor h - h**4 + 3*h - h**s - h**4 + 4*h**2 - 3*h**3 - 2*h**4.
-h*(h - 1)*(h + 1)*(h + 2)**2
Let i = -1943 + 1947. Let u(v) be the first derivative of -13/9*v**3 + 1/2*v**2 - 9 - 1/5*v**5 + 13/12*v**i + 0*v. Factor u(q).
-q*(q - 3)*(q - 1)*(3*q - 1)/3
Let n(x) be the third derivative of 51*x**2 + 0 + 0*x - 1/510*x**5 + 2/51*x**3 - 1/204*x**4. Factor n(k).
-2*(k - 1)*(k + 2)/17
Let q(t) be the second derivative of -t**5/20 + t**4/4 - t**3/6 - 3*t. Let n be q(2). Factor k**5 + 2*k**4 - k**4 + n*k**4 - 4*k**4 - 4*k**3 + 4*k**2.
k**2*(k - 2)*(k - 1)*(k + 2)
Let d(p) be the first derivative of 2*p**3/3 + 9*p**2 + 104. Factor d(b).
2*b*(b + 9)
Suppose -213*y + 202*y + 66 = 0. Let z(q) be the first derivative of y*q**2 + 3 - 2*q**3 - 8*q + 1/4*q**4. Fact