(o - 2)
Find n, given that -162 + 216*n + 255*n**4 - 108*n**2 + 24*n**3 - 127*n**4 - 130*n**4 = 0.
3
Let t(c) = c**2. Let u(s) = s**2 + 2*s. Suppose 3 = 5*o + 8. Suppose -5*d + 1 = -9. Let v(q) = d*t(q) + o*u(q). Factor v(g).
g*(g - 2)
Let x(p) be the third derivative of p**7/525 + p**6/300 - p**5/30 + p**4/20 + 6*p**2. Solve x(d) = 0 for d.
-3, 0, 1
Let n(l) = l**3 - 9*l**2 + 6*l + 19. Let p be n(8). Let m = 13/12 + -3/4. Solve -m + 7/3*z**4 - 5/3*z + 2/3*z**p - 2*z**2 + z**5 = 0 for z.
-1, -1/3, 1
Let p(y) be the second derivative of 0*y**2 - 1/45*y**6 - 5/18*y**4 - 2/15*y**5 - 2*y + 0 - 2/9*y**3. Factor p(i).
-2*i*(i + 1)**2*(i + 2)/3
Let l(p) be the second derivative of -p**7/42 + 3*p**6/40 - p**5/40 - 9*p. Factor l(m).
-m**3*(m - 2)*(4*m - 1)/4
Let r(u) be the second derivative of u**4/28 + 3*u**3/7 - 19*u. Find g such that r(g) = 0.
-6, 0
Let l(h) = -h**2 - 17*h + 2. Let s be l(-15). Let z = 32 - s. Suppose -2/5*f**2 + z*f + 2/5 = 0. What is f?
-1, 1
Find p such that -2*p**2 + 4*p + 1/4*p**3 + 0 = 0.
0, 4
Let o be 3/((-6)/4)*-16. Let q be (o/140)/(2/5). Let 2/7 + q*b**2 - 6/7*b = 0. What is b?
1/2, 1
Let q be (0 - -3 - 6) + 14. Let g = 13 - q. Let 0 + 0*k - 1/6*k**g = 0. Calculate k.
0
Let g(m) be the first derivative of -2*m**5/5 - 3*m**4 - 29. Let g(u) = 0. Calculate u.
-6, 0
Let 8*o**3 + o**4 - 18*o**2 - 5*o**4 + o + 13*o**2 = 0. Calculate o.
0, 1/2, 1
Factor -3*j**4 - 10*j - 15*j**3 + 65*j - 9*j**2 - 28*j.
-3*j*(j - 1)*(j + 3)**2
Suppose -2*n + 26 = 5*u, -3*u = -2*n - 1 - 5. Solve 0*v - 2/9*v**4 + 0 + 0*v**n + 2/9*v**2 = 0 for v.
-1, 0, 1
Let u = -13 + 15. Let i(j) = 12*j**3 + 11*j**2 - 11*j. Let s(v) = v**3 + v**2 - v. Let z(c) = u*i(c) - 22*s(c). Find t such that z(t) = 0.
0
Suppose 0 = 7*v - 2*v - 15. Find p such that -p**v + p + 1/3*p**2 - 2/3 + 1/3*p**4 = 0.
-1, 1, 2
Let -6*m**4 + 6*m**3 - 12*m**5 - 14*m**3 - 14*m**4 = 0. Calculate m.
-1, -2/3, 0
Let c(h) = -h**2 + 11*h + 16. Let o be c(12). Suppose 3*m + 1 = -4*t - 3, 24 = 4*t - o*m. Factor -2*x**5 + 2*x**5 + t*x**5 + 0*x**5 - 2*x**3.
2*x**3*(x - 1)*(x + 1)
Suppose 0 = i - 2*j - 2*j + 11, -4*i + 3*j + 8 = 0. Solve 1/4*d**i + 1/4*d**4 + 0 + 0*d - 1/4*d**3 - 1/4*d**2 = 0.
-1, 0, 1
Let o(z) = 48*z**5 + 111*z**4 + 177*z**3 + 48*z**2 - 33. Let q(a) = -3*a**5 - 7*a**4 - 11*a**3 - 3*a**2 + 2. Let h(j) = 2*o(j) + 33*q(j). Factor h(m).
-3*m**2*(m + 1)**3
Suppose 2*s - 6 - 2 = 0. Let m be (-48)/(-20) - s/10. Factor 2*n**4 - 4*n**4 + n**2 + n**m.
-2*n**2*(n - 1)*(n + 1)
Suppose 2*i + 8 = -2*i - 4*f, 4*i - f - 17 = 0. Let c(j) be the first derivative of -1/4*j**2 - 3 + 1/6*j**i + 0*j. Determine y so that c(y) = 0.
0, 1
Determine o so that -12/5*o - 2/5*o**2 - 18/5 = 0.
-3
Find n such that 0*n**4 - 4/7*n**3 + 2/7*n**5 + 0 + 0*n**2 + 2/7*n = 0.
-1, 0, 1
Let o = -99 + 105. Let f(p) be the first derivative of -1/5*p**5 + 3/8*p**4 - 1/3*p**3 - 5 + 0*p + 1/24*p**o + 1/8*p**2. Determine b so that f(b) = 0.
0, 1
Let t(m) = m**2 - 9*m - 4. Let g be t(5). Let x be g/36*33/(-8). Factor 1/2 - x*r + 4*r**2 - 7/4*r**3.
-(r - 1)**2*(7*r - 2)/4
Let v = 657 - 1967/3. Let 2*t + 2/3*t**2 + v = 0. What is t?
-2, -1
Let u = -3473/18 - -193. Let i(m) be the first derivative of 0*m + 2/45*m**5 - u*m**4 - 2/27*m**3 - 3 + 1/9*m**2. What is d in i(d) = 0?
-1, 0, 1
Let -4/3*u**4 + 0 - 2/3*u**3 + 4/3*u**2 + 0*u + 2/3*u**5 = 0. What is u?
-1, 0, 1, 2
Let t(o) = -2*o**2 + 11*o + 9. Let y be t(6). Let k(q) be the second derivative of -2/21*q**y + 1/7*q**2 + 1/42*q**4 + 0 + q. Suppose k(r) = 0. Calculate r.
1
Let t(h) = -9*h**2 + 24*h. Let v(y) = -2*y**2 + 5*y. Let p(c) = 5*t(c) - 24*v(c). Let p(a) = 0. Calculate a.
0
Let h(g) be the first derivative of -g**8/1680 - g**7/840 + g**6/180 - 2*g**3/3 + 2. Let c(u) be the third derivative of h(u). Solve c(x) = 0.
-2, 0, 1
Let d(q) = -2*q + 6. Let t be d(3). Let i(y) be the second derivative of -1/4*y**2 + 3*y - 1/24*y**4 + 1/6*y**3 + t. Factor i(h).
-(h - 1)**2/2
Solve 4/7*f**3 + 20/7*f**2 + 4 - 52/7*f = 0.
-7, 1
Let d(n) be the first derivative of -n**6/90 - n**5/30 - 3*n**3 - 8. Let t(k) be the third derivative of d(k). Solve t(z) = 0.
-1, 0
Let m(y) = 3*y**2 + 2*y**2 + 1 + y - 4*y**2. Let r(g) = -7*g**2 - g - 7. Let x(u) = 5*m(u) + r(u). Suppose x(l) = 0. What is l?
1
Let t(l) = -6*l**2 + 20*l - 4. Let d(v) = -7*v**2 + 21*v - 5. Let k(y) = 4*d(y) - 3*t(y). Solve k(p) = 0 for p.
2/5, 2
Factor -50*a + 4*a**3 - a**3 + 3*a**2 + 3*a**2 + 53*a.
3*a*(a + 1)**2
Suppose -f + 0 = -5. Suppose -f*r + 19 - 1 = s, -4*r = 4*s - 24. Factor 2*u + 4*u**2 - 4*u**r + 2 - 6*u**4 + 9*u - 2*u**5 - 5*u.
-2*(u - 1)*(u + 1)**4
Let q be (2/(-3))/(10/(-45)). Solve 6/7*c**2 + 32/7*c**q - 2*c**4 + 8/7 - 32/7*c = 0.
-1, 2/7, 1, 2
Let l(u) = 44*u**3 + 8*u**2 - 44*u - 3. Let y(k) = -22*k**3 - 4*k**2 + 22*k + 1. Let o(a) = -3*l(a) - 5*y(a). Let o(q) = 0. Calculate q.
-1, -2/11, 1
Let z be (11/22)/((-1)/(-26)). Let i(d) = 2*d - 23. Let c be i(z). Determine b, given that -1/3*b - 1/3 + 1/3*b**2 + 1/3*b**c = 0.
-1, 1
Let g(w) be the third derivative of w**6/480 - w**5/120 - w**4/24 + w**3/3 + 40*w**2. What is u in g(u) = 0?
-2, 2
Suppose -2*b = -9*a + 4*a, -b - 2*a + 9 = 0. Let y be 1 + (b + -2 - 1). Factor -3*m**y + 0 - m - 1 + m**2 + 4*m**3.
(m - 1)*(m + 1)**2
Factor 3*a**4 + 48*a + 49*a**2 + 37*a**3 + a**3 + 59*a**2 - 5*a**3 - 192.
3*(a - 1)*(a + 4)**3
Let o(t) be the first derivative of -t**7/15 + t**6/12 + t**5/15 + t**2 - 5. Let v(l) be the second derivative of o(l). Factor v(m).
-2*m**2*(m - 1)*(7*m + 2)
Let f(r) be the first derivative of -r**6/13 + 4*r**5/65 + 3*r**4/13 - 8*r**3/39 - 3*r**2/13 + 4*r/13 - 3. Determine t so that f(t) = 0.
-1, 2/3, 1
Suppose -4*u - 9 = -7*u. Let n be (-9)/6*u/(-9). Solve 3/2*s - s**2 - n = 0 for s.
1/2, 1
Suppose 0 = -3*b + 4*w - 4, -5*w + 5 = -4*b + 5*b. Suppose -1/4*l**2 + 1/4*l + b = 0. Calculate l.
0, 1
Let b = 197 + -194. Factor -1/5*u + 0 - 2/5*u**2 - 1/5*u**b.
-u*(u + 1)**2/5
Let v(g) = -3*g**3 + 8*g**2 - 10*g + 8. Let q(o) = 10*o**3 - 25*o**2 + 29*o - 24. Let z(f) = 2*q(f) + 7*v(f). Factor z(b).
-(b - 2)**3
Let b(z) be the third derivative of 1/300*z**6 + 0 + 0*z + 1/2*z**3 - z**2 + 1/75*z**5 + 1/60*z**4. Let f(p) be the first derivative of b(p). Factor f(d).
2*(d + 1)*(3*d + 1)/5
Let t(o) = 2*o**3 - o**2 + 3. Suppose -2*f - 6 = -4*f. Let p(l) = -l**3 - 1. Let k(u) = f*t(u) + 5*p(u). Factor k(d).
(d - 2)**2*(d + 1)
Let x = 146 + -144. Factor -2*z + 2 - 3/2*z**x.
-(z + 2)*(3*z - 2)/2
Let p be (6/(-10))/(4/(-20)). Factor 0*q**2 - 3*q**p - 11*q**2 + 5*q**2.
-3*q**2*(q + 2)
Let n(r) = -r**3 - 17*r**2 - r - 5. Let o(y) = y**3 + 8*y**2 + y + 2. Let t(p) = -2*n(p) - 5*o(p). Solve t(z) = 0.
-1, 0
Let f(c) be the third derivative of 0*c**3 + 2*c**2 + 0*c - 1/540*c**6 - 1/108*c**4 - 1/135*c**5 + 0. Find p, given that f(p) = 0.
-1, 0
Let d = 5 - 3. What is z in 4*z**d + 0*z - 2*z**3 + 2*z + 4*z**3 = 0?
-1, 0
Let r(j) be the third derivative of -j**6/24 - 3*j**5/4 - 45*j**4/8 - 45*j**3/2 + 5*j**2. Let r(n) = 0. Calculate n.
-3
Find f, given that 0 - 2/7*f**3 - 4/7*f**2 - 2/7*f = 0.
-1, 0
Let f(k) be the second derivative of 2*k**7/21 + 4*k**6/15 - 2*k**4/3 - 2*k**3/3 + 7*k. Suppose f(o) = 0. What is o?
-1, 0, 1
Let v(j) be the first derivative of -j**8/840 - j**7/210 - j**6/180 + j**3 - 3. Let d(z) be the third derivative of v(z). Suppose d(o) = 0. What is o?
-1, 0
Let n = -1/71 + 153/781. Suppose -2/11*r**3 + 0*r + 0 + 0*r**2 - n*r**5 + 4/11*r**4 = 0. What is r?
0, 1
Let k(c) = c**2 - c - 1. Let l(t) = 5*t**4 - 13*t**3 + 9*t**2 - t - 5. Let r(g) = -20*k(g) + 4*l(g). Factor r(m).
4*m*(m - 2)*(m - 1)*(5*m + 2)
Suppose -10*b + 31 = 21. Let b + 2*z + 3/4*z**2 = 0. What is z?
-2, -2/3
Let k(c) be the second derivative of -c**5/90 - 5*c**4/72 - c**3/6 + c**2 + 5*c. Let l(u) be the first derivative of k(u). Let l(f) = 0. What is f?
-3/2, -1
Let t(k) be the second derivative of 1/90*k**6 - 1/60*k**5 - 3*k + 1/126*k**7 + 0 + 0*k**3 - 1/36*k**4 + 0*k**2. What is m in t(m) = 0?
-1, 0, 1
Let a(n) be the second derivative of 2*n**6/15 + 2*n**5/5 - 4*n**3/3 - 2*n**2 - n - 6. Suppose a(z) = 0. What is z?
-1, 1
Let s(m) = 19*m**3 - 31*m**2 + 27*m - 4. Let h(f) = -10*f**3 + 16*f**2 - 14*f + 2. Let x(q) = 11*h(q) + 6*s(q). Factor x(p).
2*(p - 1)**2*(2*p - 1)
Factor 8/7*r**3 - 52/7*r**2