or y.
-1, 0, 1
Let i(o) = -o**4 + 16*o**3 + 5*o**2 - 16*o - 8. Let r(h) = -15*h**3 - 6*h**2 + 15*h + 9. Let p(t) = 3*i(t) + 4*r(t). Determine s so that p(s) = 0.
-2, -1, 1
Let n be (-2)/(0 - -2)*2/(-4). Factor 1/4*p**4 + 0 + 0*p + n*p**3 + 1/4*p**2.
p**2*(p + 1)**2/4
Let y(l) be the first derivative of -l**6/1080 + l**5/120 - l**4/36 - l**3/3 + 4. Let n(u) be the third derivative of y(u). Factor n(j).
-(j - 2)*(j - 1)/3
Solve -28/13*t - 6/13*t**2 + 10/13 = 0.
-5, 1/3
Let s(r) be the first derivative of -r**2 + 0*r**3 - 2 + 1/2*r**4 + 0*r. Factor s(v).
2*v*(v - 1)*(v + 1)
Let y(t) = -t**2 - 13*t + 2. Let f be y(-13). Let w(d) be the second derivative of 1/2*d**f + 1/12*d**4 + 1/3*d**3 + 3*d + 0. Factor w(a).
(a + 1)**2
Let i be -6 + 6/2 - -3. Factor -24*l - 2*l**2 - 5 + i*l**2 - 3*l**3 - 7 - 13*l**2.
-3*(l + 1)*(l + 2)**2
Let k(p) = -16*p**4 + 61*p**3 - 48*p**2 - 3*p + 21. Let q(r) = 8*r**4 - 30*r**3 + 24*r**2 + 2*r - 10. Let o(h) = 2*k(h) + 5*q(h). Factor o(m).
4*(m - 2)*(m - 1)**2*(2*m + 1)
Factor -2/3*t**2 + 0 + 4/3*t**3 + 0*t.
2*t**2*(2*t - 1)/3
Factor 2/7*f**2 + 32/7 - 16/7*f.
2*(f - 4)**2/7
What is g in 0 + 10/11*g**4 + 4/11*g**3 + 0*g**2 + 6/11*g**5 + 0*g = 0?
-1, -2/3, 0
Factor 9*q**4 - 2*q**4 - 6*q**3 - 4*q**4.
3*q**3*(q - 2)
Let m(u) be the first derivative of -u**6/2 + 3*u**5/5 + 3*u**4/4 - u**3 - 2. Factor m(i).
-3*i**2*(i - 1)**2*(i + 1)
Let k(o) be the third derivative of o**6/160 - o**5/80 - o**4/32 + o**3/8 - 2*o**2. Factor k(z).
3*(z - 1)**2*(z + 1)/4
Let n(u) be the third derivative of -1/24*u**4 - u**2 + 1/120*u**6 + 1/210*u**7 + 0*u - 1/60*u**5 + 0 + 0*u**3. Find j, given that n(j) = 0.
-1, 0, 1
Let s(q) be the first derivative of q**4 + 4*q**3 - 16*q - 1. Factor s(f).
4*(f - 1)*(f + 2)**2
Factor 6*s + 9*s**3 + 15*s**2 - 3*s**5 - 3*s**4 + 133 - 133.
-3*s*(s - 2)*(s + 1)**3
Let y(s) be the first derivative of 2*s + 2*s**2 + 1/12*s**4 - 2/3*s**3 + 2. Let w(f) be the first derivative of y(f). Factor w(z).
(z - 2)**2
Suppose p + 4 = 3. Let n be ((-7)/4)/(p/28). What is i in 73*i**2 + 17*i - n*i**5 - 94*i**4 + 15*i + 4 + 17*i**3 + 17*i**4 = 0?
-1, -2/7, 1
Let g(l) be the third derivative of -1/28*l**4 + 0*l + 2/21*l**3 + 0 - l**2 + 1/210*l**5. Factor g(n).
2*(n - 2)*(n - 1)/7
Find z such that -2/3*z**4 + 0 - 2*z**2 + 8/3*z**3 + 0*z = 0.
0, 1, 3
Let n = -71 + 74. Suppose w + 3*k - 6 = 0, -5*k - 14 = 5*w - 64. Factor n*u**2 - u - 5*u + w*u**2.
3*u*(5*u - 2)
Let a(b) = -3*b**2 - 8*b + 2. Let q(d) = 3*d**2 + 9*d - 3. Let k(i) = 3*a(i) + 2*q(i). Find x such that k(x) = 0.
-2, 0
Let l(h) be the first derivative of h**8/84 + h**7/14 + h**6/6 + h**5/6 - h**3/6 + 3*h**2/2 - 2. Let s(w) be the second derivative of l(w). Factor s(d).
(d + 1)**4*(4*d - 1)
Let g(y) = -5*y + 3. Let m be g(0). Let d(l) be the second derivative of 0 - 1/42*l**4 + 1/7*l**2 + 2*l + 0*l**m. Factor d(z).
-2*(z - 1)*(z + 1)/7
Let a(b) be the second derivative of -b**8/588 + 2*b**7/735 - 5*b**2/2 + b. Let x(i) be the first derivative of a(i). Let x(k) = 0. What is k?
0, 1
Suppose -l + s = -3*s - 10, 3*l - 10 = 2*s. Let f(q) be the first derivative of 0*q - 10*q**4 - 2*q**l - 26/3*q**3 - 2. Factor f(m).
-2*m*(4*m + 1)*(5*m + 2)
Factor 3365/2*q**2 - 270*q**3 + 10*q**4 + 490 + 1890*q.
5*(q - 14)**2*(2*q + 1)**2/2
Let u(b) be the second derivative of -b**7/42 + b**5/10 - b**3/6 - 3*b. Factor u(a).
-a*(a - 1)**2*(a + 1)**2
Let x(v) = -v**4 - v**3 + v**2 + v + 1. Let a(y) = 8*y**4 + 6*y**3 - 10*y**2 - 6*y - 4. Let k(b) = a(b) + 6*x(b). Factor k(c).
2*(c - 1)**2*(c + 1)**2
Let c(v) be the second derivative of v**5/5 + 11*v**4/3 - 50*v**3/3 + 26*v**2 - 70*v. Determine x so that c(x) = 0.
-13, 1
Let s be ((-16)/130)/(68/(-170)). Let 2/13*n**2 + 2/13 + s*n = 0. Calculate n.
-1
Suppose 4*u - 22 = 3*a, -3*u + 4*a + 9 = -11. Factor 8*f**u - 4*f**5 + 4*f**2 + 4*f**5 + 3*f**5 - 15*f**4.
f**2*(f - 2)*(f - 1)*(3*f + 2)
Suppose 19*h + 7*h**2 + 17*h**2 - 7*h**3 - 55*h + 3*h**3 = 0. What is h?
0, 3
Let w be 9/(3/1) - 0. Suppose -4*m + w*m - 3*m**2 + 4*m + 3*m**3 - 3*m**2 = 0. What is m?
0, 1
Let z(i) be the first derivative of -3*i**5/20 - 9*i**4/8 - 9*i**3/4 - 3*i**2/2 + 14. Factor z(o).
-3*o*(o + 1)**2*(o + 4)/4
Suppose -5*l - 4*c + 6 = 80, -5*l + 2*c - 98 = 0. Let s be (-32)/(-63) + l/81. Find k such that 4/7*k**2 + s*k + 0 + 2/7*k**3 = 0.
-1, 0
Let q(m) = -m**3 + 7*m**2 + 7*m + 10. Let f be q(8). Let k be 12/f - (4 - 1). Let -6*c**2 - 4*c**3 - c**3 - 2*c + 2*c**4 + 4*c**3 + k*c**3 + 4 = 0. Calculate c.
-2, -1, 1
Let v = 73 + -361/5. Let 2/5*o - 2/5*o**2 + v = 0. What is o?
-1, 2
Let u(y) be the first derivative of -5*y**3/3 - 35*y**2/2 - 30*y + 19. Factor u(k).
-5*(k + 1)*(k + 6)
Suppose -5*i = -i - 48. Solve -n**2 + 2*n**4 + i*n - 5*n**4 + 12*n**3 - 3 - 17*n**2 = 0.
1
Let u(q) = q**3 - 7*q**2 + 16*q - 9. Let j(x) = -x**3 + 7*x**2 - 16*x + 10. Let w(o) = -3*j(o) - 2*u(o). Factor w(g).
(g - 3)*(g - 2)**2
Factor 5*i**5 + 30*i**4 + 130*i + 45*i**3 - 120*i + 35*i**2 - 5*i**4.
5*i*(i + 1)**3*(i + 2)
Let a(k) be the second derivative of 0 + 0*k**2 + 0*k**4 + 1/24*k**3 - 3*k - 1/80*k**5. Factor a(n).
-n*(n - 1)*(n + 1)/4
Let y = 7 + -4. Suppose -3/4*g**2 - 1/4*g**4 - 1/4*g - 3/4*g**y + 0 = 0. What is g?
-1, 0
Let f(s) be the first derivative of -7 - 7/8*s**4 + s**2 + 0*s + 1/5*s**5 + 2/3*s**3. Find o such that f(o) = 0.
-1/2, 0, 2
Let c(s) = s - 4. Let a be c(6). Let f(r) = -r**2 - 4*r + 7. Let k be f(-5). Factor -z**3 + 0*z**a + 0*z**k + z**2.
-z**2*(z - 1)
Let p be (-2)/(-7) - 208/(-56). Factor -1 - p*w - 3 - 2*w**2 + w**2.
-(w + 2)**2
Let f(m) be the second derivative of -m**5/4 + 2*m**4/3 - m**3/6 - m**2 - 11*m. Factor f(o).
-(o - 1)**2*(5*o + 2)
Suppose -4*z = -4 - 8. What is c in c**z - 2*c**2 + c + 4 + 4*c**2 - 4 = 0?
-1, 0
Suppose -2*f - 83 = -403. Let v be 72/f - 2/10. Find u, given that 1/4*u**3 + 1/4*u**4 - 1/4*u**2 + 0 - v*u = 0.
-1, 0, 1
Let p(v) be the first derivative of 3*v**4/8 + 7*v**3/2 + 45*v**2/4 + 27*v/2 + 20. Factor p(j).
3*(j + 1)*(j + 3)**2/2
Let r(u) be the third derivative of u**5/30 + u**4/6 + u**3/3 + 3*u**2. Factor r(l).
2*(l + 1)**2
Let m(t) = -2*t**2 - 1. Let c(g) be the first derivative of g**3 + g - 3. Let u(r) = 3*c(r) + 4*m(r). Factor u(k).
(k - 1)*(k + 1)
Let c(r) = -2*r**2 - 22*r - 15. Let y be c(-10). Solve 1/3*b**3 - 1/3*b**y + 0*b + 0 - 1/3*b**4 + 1/3*b**2 = 0 for b.
-1, 0, 1
Let g be (-23)/5 + 30/50. Let k be (g/(-3))/(14 + -10). Factor 0*p + 0 + k*p**2.
p**2/3
Suppose 2*s - s = 3. Let k(n) be the second derivative of -1/3*n**3 + 1/60*n**6 + 1/10*n**5 - n**2 + 0 + 1/8*n**4 + s*n. Let k(b) = 0. Calculate b.
-2, -1, 1
Let p be 13/5 - (-4)/10. Let -1/3 + 1/3*l + 1/3*l**2 - 1/3*l**p = 0. What is l?
-1, 1
Let v(l) = 8*l**4 - 12*l**3 + 4*l**2 + 4*l + 4. Let y(j) = 23*j**4 - 35*j**3 + 12*j**2 + 11*j + 11. Let s(t) = -11*v(t) + 4*y(t). Factor s(c).
4*c**2*(c - 1)**2
Let z(w) = w**3 - 3*w**2 - 5*w + 5. Suppose -4*h = 57 + 3. Let i(s) = 6*s**3 - 21*s**2 - 36*s + 36. Let u(k) = h*z(k) + 2*i(k). Factor u(p).
-3*(p - 1)**2*(p + 1)
Factor -2/11*f**3 + 0*f + 0 - 6/11*f**2.
-2*f**2*(f + 3)/11
Let c(h) be the second derivative of h**6/8 - 9*h**5/80 - 7*h**4/16 + 3*h**3/8 + 3*h**2/4 + 5*h. Find a, given that c(a) = 0.
-1, -2/5, 1
Suppose -41 = 2*p + 7. Let k = p - -28. Determine j so that 2/3*j**5 + 2/3*j + k*j**3 + 8/3*j**2 + 8/3*j**4 + 0 = 0.
-1, 0
Let g(l) be the second derivative of l**4/12 + l**3/2 + l**2 - 5*l. Factor g(o).
(o + 1)*(o + 2)
What is s in 3/5*s**2 + 3/5*s**4 + 9/5*s - 9/5*s**3 - 6/5 = 0?
-1, 1, 2
Let d(w) = w**3 - 5*w**2 + w - 2. Let v be d(5). Suppose v - 6 = -3*h, 5*q + 2*h = 22. Let 0*k**3 - 2*k**4 + 3*k**q + k**3 = 0. What is k?
-1, 0
Let k be 2/(-10)*6/(-9)*54. Let 4/5*v - 26/5*v**3 - k*v**4 + 14/5*v**2 + 0 = 0. What is v?
-1, -2/9, 0, 1/2
Factor 0*p + 0 + 3/5*p**5 - p**4 + 0*p**2 + 2/5*p**3.
p**3*(p - 1)*(3*p - 2)/5
Let c be (-4)/8*-6 + 0. Let w(d) be the second derivative of 0*d**2 + 1/50*d**5 - 1/10*d**4 + 2/15*d**c + 0 - 2*d. Determine t so that w(t) = 0.
0, 1, 2
Let j(k) be the third derivative of 0*k**3 + 3/40*k**6 - 5*k**2 + 0*k**4 + 1/112*k**8 - 3/70*k**7 - 1/20*k**5 + 0 + 0*k. Factor j(f).
3*f**2*(f - 1)**3
Let x(u) = u**2 - 3*u - 6. Let l be x(6). Suppose 0 = -2*y + 5*y - l. Factor 0*o**y + 0*o + 0*o**2 + 0 + 0*o**3 - 2/7*o**5.