 - 7/4*n.
(n - 1)*(n + 1)**2*(9*n - 2)/4
Let h(l) = l**2 + 10*l + 4. Let z(a) = 9*a + 3. Let d(t) = -3*h(t) + 4*z(t). What is q in d(q) = 0?
0, 2
Let k(z) be the second derivative of 35*z**4/46 + 16*z**3/69 - 4*z**2/23 + 35*z. Factor k(c).
2*(7*c + 2)*(15*c - 2)/23
Suppose 10 = 2*b - 4*u - 2, 5*b = -u + 8. Factor 4 + 4*f**3 + 2*f**5 - 2*f**b + 6*f**2 - 2 - 7*f - 6*f**4 + f.
2*(f - 1)**4*(f + 1)
Let h = 6 + -3. Determine v so that 4 + v**2 + 4*v**2 + h*v**2 - 9*v - 9*v = 0.
1/4, 2
Find t such that -5*t + 2*t + 33*t**2 + 1 - 7*t - 40*t**3 + 6*t**4 + 10*t**4 = 0.
1/4, 1
Let p(t) = -t**3 - 5*t**2 + 6*t - 6. Let z be p(-6). Let u(j) = j**2 + 6*j - 2. Let c(i) = i**2 + 7*i - 2. Let d(q) = z*u(q) + 5*c(q). Factor d(o).
-(o - 1)*(o + 2)
Let t = 53/360 + -1/45. Let m(a) be the first derivative of 0*a**2 + 0*a - 1/20*a**5 - 1/12*a**3 - 1 - t*a**4. Let m(v) = 0. Calculate v.
-1, 0
Let h(p) be the third derivative of p**7/35 - 7*p**6/60 + p**5/10 + p**4/4 - 2*p**3/3 - 10*p**2. Factor h(k).
2*(k - 1)**3*(3*k + 2)
Let b(y) be the second derivative of 5*y**7/168 + y**6/4 + 7*y**5/8 + 5*y**4/3 + 15*y**3/8 + 5*y**2/4 - 8*y. Determine j so that b(j) = 0.
-2, -1
Let a(m) be the second derivative of 1/5*m**4 + 0*m**2 + 2*m + 1/50*m**5 + 3/5*m**3 + 0. Factor a(k).
2*k*(k + 3)**2/5
Let n = -1214 + 8504/7. Factor 2/7*p - 2/7*p**3 + 4/7 + 2/7*p**4 - n*p**2.
2*(p - 2)*(p - 1)*(p + 1)**2/7
Let i(z) be the second derivative of z**6/105 - z**5/35 + 30*z + 1. Factor i(d).
2*d**3*(d - 2)/7
Let a(u) be the first derivative of 5*u**4/4 - 67*u**3/3 - 22*u**2 + 28*u + 67. Factor a(h).
(h - 14)*(h + 1)*(5*h - 2)
Factor -1071*k**4 + 1866*k**2 + 6395*k**4 + 560*k + 1566*k**2 + 8228*k**3 + 32.
4*(k + 1)*(11*k + 2)**3
Factor 0*l**2 + 2/7*l**5 + 0*l + 0*l**4 + 0 - 2/7*l**3.
2*l**3*(l - 1)*(l + 1)/7
Let f(n) be the second derivative of n**6/360 + n**5/20 + 3*n**4/8 + n**3/6 - 4*n. Let b(y) be the second derivative of f(y). Factor b(m).
(m + 3)**2
Let a(p) = -p**2 - 4*p + 3. Let d be a(-3). Let x(o) be the second derivative of 1/18*o**3 + 0 + 1/6*o**4 + 0*o**2 + 2/45*o**d + 3*o + 3/20*o**5. Factor x(f).
f*(f + 1)**2*(4*f + 1)/3
Let f = -60 - -60. Factor 0*n + f - 2/5*n**2 - 2/5*n**3.
-2*n**2*(n + 1)/5
Let p(h) be the second derivative of -h**4/4 + h**3/2 + 3*h. Factor p(k).
-3*k*(k - 1)
Let u(v) = 3*v**2 - v + 6. Let g(c) = -c**2. Let s(i) = -4*g(i) - u(i). Find t such that s(t) = 0.
-3, 2
Factor 4*p + 2 + 1/2*p**3 + 5/2*p**2.
(p + 1)*(p + 2)**2/2
Let z(g) be the first derivative of 2*g + 0*g**2 + 1/12*g**4 + 2 + 0*g**3 + 1/30*g**6 + 1/10*g**5. Let u(c) be the first derivative of z(c). Factor u(t).
t**2*(t + 1)**2
Let m(z) = z**2 - z. Let h(w) = 4*w**2 - 10*w + 6. Let o(a) = 2*h(a) - 12*m(a). Factor o(p).
-4*(p - 1)*(p + 3)
Let i(m) be the third derivative of -m**5/60 - 13*m**4/12 - 169*m**3/6 - 18*m**2. Let i(b) = 0. Calculate b.
-13
Let s be 3 - 1 - (0 + (-126)/(-77)). What is o in 0*o + 2/11*o**5 + 4/11*o**4 + 0 - s*o**2 - 2/11*o**3 = 0?
-2, -1, 0, 1
Let f(n) = -2*n**3 + n**2 + 3*n + 5. Let b(h) = h**2 + h + 1. Let j(y) = 10*b(y) - 2*f(y). Find d such that j(d) = 0.
-1, 0
Let u = 247/110 + 1/220. Factor -7/4*l**2 - 1/2 + u*l.
-(l - 1)*(7*l - 2)/4
Suppose 3*i = 2*r - i - 6, 4*r - i = 12. Factor -27/7*n**2 - 6/7 - 3/7*n**4 + 15/7*n**r + 3*n.
-3*(n - 2)*(n - 1)**3/7
Let b**2 + b + 1/3*b**3 + 1/3 = 0. Calculate b.
-1
Let d(v) be the third derivative of -v**6/150 - v**5/150 + v**4/60 - 4*v**2. Factor d(m).
-2*m*(m + 1)*(2*m - 1)/5
Let m(a) = -a**2 + 11*a - 10. Let q be m(1). Find c such that -2/3*c + q + 2/9*c**2 = 0.
0, 3
Let a be ((-1)/(-8))/(2/4). Factor a - u**2 + 3/4*u.
-(u - 1)*(4*u + 1)/4
Suppose 8 = -16*l + 40. Let a(k) be the second derivative of 1/30*k**4 + 0 - 3*k + 0*k**l - 1/15*k**3. Factor a(n).
2*n*(n - 1)/5
Let a(d) be the second derivative of -3*d - 2/3*d**3 - 1/2*d**4 - 1/5*d**5 - 1/2*d**2 - 1/30*d**6 + 0. Factor a(o).
-(o + 1)**4
Solve -3*c**3 + 3*c + 2/3*c**2 - 4/3*c**4 + 2/3 = 0.
-2, -1, -1/4, 1
Suppose -3*z + 6*z + 4*g = 21, 2*z - 21 = -5*g. What is x in 1 - x**4 + 6*x**z + 2*x**2 - 3*x**5 + 1 - 3*x - 3 = 0?
-1, -1/3, 1
Let k(c) = 4*c**4 - 23*c**3 + 150*c**2 - 503*c + 622. Let r(p) = p**4 - p**3 - p - 1. Let b(i) = 2*k(i) - 6*r(i). Factor b(z).
2*(z - 5)**4
Let k(u) be the first derivative of -u**6/33 + 2*u**5/55 + 3*u**4/22 - 10*u**3/33 + 2*u**2/11 + 8. Determine q so that k(q) = 0.
-2, 0, 1
Let u(s) = 11*s**4 + 12*s**3 + 5*s**2 - 17*s - 6. Let c(w) = 16*w**4 + 18*w**3 + 7*w**2 - 25*w - 9. Let m(q) = 5*c(q) - 7*u(q). Solve m(g) = 0.
-1, 1
Solve s**2 + 4*s - 6*s - 10*s + 64 - 4*s = 0.
8
Let b(p) be the second derivative of 0 + 1/42*p**4 + 0*p**2 - 2/21*p**3 + 3*p. Factor b(a).
2*a*(a - 2)/7
Let s(m) be the first derivative of m**4 - 28*m**3/3 + 30*m**2 - 36*m + 5. Find a such that s(a) = 0.
1, 3
Let m(t) be the second derivative of t**6/45 - t**4/9 + t**2/3 - 2*t. Factor m(d).
2*(d - 1)**2*(d + 1)**2/3
Let t(j) be the first derivative of -3*j**4/4 - j**3 + 3*j**2 - 25. Factor t(f).
-3*f*(f - 1)*(f + 2)
Let a(q) be the third derivative of q**7/8820 - q**6/1260 + q**5/420 - q**4/12 + 3*q**2. Let f(b) be the second derivative of a(b). Factor f(x).
2*(x - 1)**2/7
Determine b, given that 2*b + 1/3*b**2 + 3 = 0.
-3
Let h be -2 + -9*6/(-9). Factor 3/2*k**5 + 1 - 3*k**2 - 2*k**3 + 2*k**h + 1/2*k.
(k - 1)*(k + 1)**3*(3*k - 2)/2
Let g = -72/7 + 165/14. Determine f, given that 1/2*f**2 + g + 2*f = 0.
-3, -1
Let j be -6 + 3/(-2)*-2. Let s be ((-3)/j)/((-12)/(-8)). Factor g - s - 1/3*g**2.
-(g - 2)*(g - 1)/3
Suppose 4*u - 16 = 0, 3*u = 3*d + 5 + 1. Factor -2/7*b**3 + 0*b**d + 0 + 2/7*b.
-2*b*(b - 1)*(b + 1)/7
Let m(l) be the first derivative of 0*l**4 + 0*l + 1/15*l**5 + 1/36*l**6 - 1/12*l**2 - 4 - 1/9*l**3. Factor m(q).
q*(q - 1)*(q + 1)**3/6
Let m be (1/(-1))/((-4)/12). Let x(t) = t**3 + 2*t**2 + t - 4. Let n(i) = -i**3 - 2*i**2 - i + 3. Let h(o) = m*x(o) + 4*n(o). What is q in h(q) = 0?
-1, 0
Let d(n) be the second derivative of -n**4/12 - 7*n**3/6 - 5*n**2/2 - n. Let f be d(-5). What is s in 2 + s + 5*s**2 + 7*s**2 - 4*s - f*s - 8*s**3 + 2*s**4 = 0?
1
Let v(h) = h**4 + 7*h**3 + 5*h**2 - 19*h + 10. Let f(g) = -3*g**4 - 15*g**3 - 9*g**2 + 39*g - 21. Let y(b) = 4*f(b) + 9*v(b). Factor y(s).
-3*(s - 1)**3*(s + 2)
Solve 0 - 2/3*y**4 - 1/6*y + 1/2*y**5 + 2/3*y**2 - 1/3*y**3 = 0.
-1, 0, 1/3, 1
Let q(g) be the second derivative of g**6/180 - g**5/30 + 7*g**3/6 - g. Let f(h) be the second derivative of q(h). Determine c, given that f(c) = 0.
0, 2
Let t(h) be the third derivative of -h**6/30 + 2*h**5/15 - h**4/6 - h**2. Suppose t(v) = 0. What is v?
0, 1
Let j be (0 + 21/(-15))*(-12)/14. Factor 2/5 - 6/5*l + 4/5*l**2 + 4/5*l**3 + 2/5*l**5 - j*l**4.
2*(l - 1)**4*(l + 1)/5
Let a(l) = -5*l**5 + 3*l**4 + 4*l**3 + 4*l**2 - 4*l - 4. Let x(u) = u**5 - u**4 - u**3 - u**2 + u + 1. Let v(q) = a(q) + 4*x(q). Factor v(g).
-g**4*(g + 1)
Let u = 14 + -10. Let d be (-6)/u*24/(-117). Factor 6/13*a**3 - 6/13*a - d*a**2 + 4/13.
2*(a - 1)*(a + 1)*(3*a - 2)/13
Suppose 0*m - 15*m**2 + 5*m + m**4 - m**3 - 5 + 12*m**2 + 3 = 0. What is m?
-2, 1
Let u(q) be the third derivative of -q**7/735 + q**6/140 + q**5/42 - q**4/28 - 4*q**3/21 + 44*q**2. Determine w so that u(w) = 0.
-1, 1, 4
Let j(p) be the third derivative of -p**10/45360 - p**9/11340 - 5*p**4/24 + 4*p**2. Let v(w) be the second derivative of j(w). Factor v(k).
-2*k**4*(k + 2)/3
Let i be ((-6)/(-4))/((-6)/(-8)). Factor l**i + 0 + 0*l + 7*l**4 + 11/2*l**3.
l**2*(2*l + 1)*(7*l + 2)/2
Let i(z) be the second derivative of -2*z + 1/60*z**5 + 1/12*z**4 - z**2 + 1/6*z**3 + 0. Let c(r) be the first derivative of i(r). Factor c(f).
(f + 1)**2
Factor 8 - 3*o**3 - 2*o**3 + 10*o**2 + 16*o + 7*o**3 + 0*o**3.
2*(o + 1)*(o + 2)**2
Let u(w) be the first derivative of -3/4*w**2 + 1/12*w**3 + 9/4*w + 2. Solve u(n) = 0 for n.
3
Let r be 1/4*-1 - (-21)/36. Solve -r*y**4 + 1/3*y**2 + 0 + 1/3*y - 1/3*y**3 = 0.
-1, 0, 1
Let p be (-3)/(-2) + 1/2. Determine v so that -44*v**3 + 7*v - 25*v**4 - 10*v**5 - v - 16*v**p - 11*v**4 + 4 = 0.
-1, 2/5
Factor 2*s**2 + 6/5 - 2/5*s**3 - 14/5*s.
-2*(s - 3)*(s - 1)**2/5
Let t = 79/466 - 2/699. Factor 1/2*v**3 - t*v**2 - 1/3*v + 0.
v*(v - 1)*(3*v + 2)/6
Suppose -8*v + 14 + 18 = 0. Let z(q) be the third derivative of -1/15*q**3 + 1/24*q*