 = -2*u. Factor -7*n**4 + u*n**5 + 47*n**4 + 16*n**5 + 25*n**3 + 5*n**2.
5*n**2*(n + 1)*(2*n + 1)**2
Let 128/3*a**2 - 2/9*a**5 + 0 - 512/9*a - 8/3*a**4 - 8/9*a**3 = 0. Calculate a.
-8, 0, 2
Let d(l) be the first derivative of l**4/2 + 38*l**3 + 840*l**2 + 1568*l - 41. Factor d(g).
2*(g + 1)*(g + 28)**2
Let u = 182/33 - 46/11. Factor 2*a**3 + u*a**2 - 2*a - 4/3.
2*(a - 1)*(a + 1)*(3*a + 2)/3
Let c(l) = -8*l - 2*l**2 - 5 + 4*l**2 - 9*l**2 + 4*l**2. Let j(b) = b**2 + 4*b + 3. Suppose -11 = -3*h + 4. Let n(r) = h*j(r) + 3*c(r). Solve n(a) = 0 for a.
-1, 0
Suppose 2*u + 2 = 3*u. Let y(i) = i**2 - i - 2. Let w be y(3). Determine o so that 9*o**3 + 3*o**w - 12*o + 2*o**3 - u*o**3 = 0.
-2, 0, 1
Let t(i) be the second derivative of i**4/3 + 4*i**3/3 - 70*i**2 + 311*i. Factor t(r).
4*(r - 5)*(r + 7)
Let p(m) be the first derivative of m**3 - 7/8*m**4 - 2/5*m**5 + 7/4*m**2 - m + 24. Suppose p(y) = 0. What is y?
-2, -1, 1/4, 1
Suppose -48 = -4*x - 3*d, 4*d + d = 0. Suppose x*z - 10 = 7*z. Let 0 + 0*m - 4/3*m**3 + 2/3*m**z + 2/3*m**4 = 0. Calculate m.
0, 1
Let m(b) be the third derivative of b**8/1050 - b**7/210 + b**6/225 - 2*b**3/3 - 10*b**2. Let y(n) be the first derivative of m(n). Factor y(i).
4*i**2*(i - 2)*(2*i - 1)/5
Let n(y) = -y**3 - 11*y**2 - 60*y - 371. Let k be n(-9). Let h(s) be the first derivative of 0*s**2 + 0*s + k + 3/8*s**4 - s**3. Solve h(u) = 0 for u.
0, 2
Let t be (2 + 20/(-6))*-3 + -2. Let k be 6/(-30) + (-22)/(-10). Let -2*d**2 + 8*d - 3*d**k - 4 + d**t = 0. What is d?
1
Let b(s) be the second derivative of s**4/126 + 22*s**3/21 + 363*s**2/7 + 208*s. Find g, given that b(g) = 0.
-33
Let h = 1187/9112 - 6/1139. Let n(v) be the first derivative of -h*v**2 + 0*v - 1/2*v**3 + 7. Find x, given that n(x) = 0.
-1/6, 0
Let g(v) be the third derivative of 0*v + 0 + 1/60*v**5 + v**2 + 1/3*v**3 + 1/240*v**6 - 7/48*v**4. Factor g(q).
(q - 1)**2*(q + 4)/2
Factor -42/5*t**2 + 1/5*t**5 + 0 + 27/5*t + 2*t**4 + 4/5*t**3.
t*(t - 1)**2*(t + 3)*(t + 9)/5
Solve -1/3*l**2 + 1/3 - 1/3*l + 1/3*l**3 = 0 for l.
-1, 1
Let a(s) = 5*s**2 - 162*s - 302. Let c(w) = -13*w**2 + 483*w + 906. Let y(g) = 8*a(g) + 3*c(g). Factor y(z).
(z + 2)*(z + 151)
Let s(u) = -u**3 - 7*u**2 + 10*u + 19. Let t be s(-8). Factor -20*p - 53*p**3 + 2*p**4 + 240*p**2 - 160*p - 12*p**t + 3*p**4.
5*p*(p - 6)**2*(p - 1)
Let l(c) be the first derivative of c**8/420 - c**7/105 + c**6/90 - 14*c**3/3 + 10. Let a(x) be the third derivative of l(x). Find s, given that a(s) = 0.
0, 1
Let j(w) be the second derivative of w**6/70 - 24*w**5/35 + 78*w**4/7 - 64*w**3 + 168*w**2 + 237*w. Solve j(t) = 0.
2, 14
Let k(o) be the third derivative of -31*o**6/24 + o**5/6 + 155*o**4/6 - 20*o**3/3 + 491*o**2. Find r, given that k(r) = 0.
-2, 2/31, 2
Let x(y) = -2*y**5 + 2*y**4 - y**3 + y**2 + 3*y - 8. Let s(c) = -3*c**5 + 3*c**4 + 3*c - 9. Let g(p) = 5*s(p) - 6*x(p). Factor g(o).
-3*(o - 1)**3*(o + 1)**2
Let u(t) be the second derivative of -t**4/12 - 2*t**3/3 + t**2 + 4*t. Let l be u(-4). Factor 3 + 3 + 3*x**l + 0 - 2*x + 11*x.
3*(x + 1)*(x + 2)
Let w be -6*(-2)/4 - 1. Solve w + 39*i**2 - 2*i**3 - 31*i**2 + 2 - 10*i = 0.
1, 2
Suppose -19 + 1 = -6*f. Let j(l) be the second derivative of 0*l**4 + 0*l**6 - 1/9*l**f - 1/63*l**7 + 0 + 1/15*l**5 + 0*l**2 + 3*l. What is k in j(k) = 0?
-1, 0, 1
Let i(p) be the second derivative of -p**4/4 + 8*p**3 + 51*p. Factor i(a).
-3*a*(a - 16)
Let b = -3387 + 30491/9. Suppose -22 = -5*t - 2. Determine q, given that 14/9*q**2 + 0 + 26/9*q**t + 2/9*q + b*q**5 + 10/3*q**3 = 0.
-1, -1/4, 0
Let c = -820 + 2656/3. Let n = c + -586/9. Determine s so that 0 - 10/9*s**4 - n*s**3 + 2/3*s**5 + 10/9*s**2 - 4/9*s = 0.
-1, 0, 2/3, 1
Let p = 87 + -82. Suppose 93 + 152 + 60*z + p*z**2 + 10*z = 0. What is z?
-7
Suppose -2*p + 3*p + 100 = 4*y, -4*p - 25 = -y. Find q such that 2*q**3 + y*q**4 - q - q - 23*q**4 - 2*q**2 = 0.
-1, 0, 1
Let a(s) be the second derivative of -s**5/10 - 4*s**4/15 + 44*s**3/15 - 16*s**2/5 - 120*s. Factor a(u).
-2*(u - 2)*(u + 4)*(5*u - 2)/5
Let d(p) be the third derivative of -1/3*p**5 + 0*p - 40*p**2 + 0*p**4 + 0 + 5/6*p**3. Factor d(s).
-5*(2*s - 1)*(2*s + 1)
Suppose 2*u - 67 = -19. Determine g so that -11*g**4 + u*g**4 - 15*g**4 - 6*g**3 + 8*g = 0.
-2, 0, 1
Let n(v) be the first derivative of 11*v**7/420 - 37*v**6/360 - 2*v**5/15 + v**4/6 + 10*v**3/3 - 5. Let y(a) be the third derivative of n(a). Factor y(o).
(o - 2)*(2*o + 1)*(11*o - 2)
Let d be (-10)/6 + ((-51)/(-9))/1. Factor 1/2 + 5*w**2 + 1/2*w**5 + 5*w**3 + 5/2*w + 5/2*w**d.
(w + 1)**5/2
Suppose -3*u = 4*w + 12, -3*u + u = 2*w + 8. Let k = -2 - u. What is m in 11*m**3 + 8*m**2 - k*m - 2*m**5 - 38*m**3 + 15*m**3 + 8*m**4 = 0?
0, 1
Let a = 892 + -892. Let p(c) be the third derivative of 0 + 0*c + c**2 + 1/16*c**4 - 1/120*c**5 + a*c**3. Factor p(y).
-y*(y - 3)/2
Let l(n) be the third derivative of -n**6/120 + 83*n**5/20 - 6889*n**4/8 + 571787*n**3/6 - 385*n**2. Factor l(b).
-(b - 83)**3
Let q = 402 + -8437/21. Let y(p) be the third derivative of q*p**7 + 0*p**3 + 0 + 1/3*p**4 + 0*p + 4/5*p**5 + 3/4*p**6 - 4*p**2. Suppose y(v) = 0. What is v?
-1, -2/5, 0
Factor -19/4*s**3 - 7/4*s**4 - 4*s - 1 - 25/4*s**2 - 1/4*s**5.
-(s + 1)**3*(s + 2)**2/4
Let s(h) = -h**3 - 7*h + 1. Let z(y) = 4*y**3 - 184*y**2 + 726*y - 706. Let f(q) = -4*s(q) - 2*z(q). Solve f(u) = 0.
2, 88
Let w(q) be the second derivative of 3*q**7/14 + 2*q**6/5 + 3*q**5/20 - q - 25. Find z, given that w(z) = 0.
-1, -1/3, 0
Let k(x) be the third derivative of -x**6/30 - 4*x**5/15 + 8*x**4/3 + 128*x**3/3 + 3*x**2 - 30*x. Let k(s) = 0. What is s?
-4, 4
Find z, given that 6*z**3 + 4*z**3 - 42*z**2 + 59 - 106*z + 6*z**4 - 119 + 0*z**3 = 0.
-2, -5/3, -1, 3
Let m(k) be the third derivative of k**8/168 - 59*k**7/105 + 191*k**6/12 - 2521*k**5/30 + 602*k**4/3 - 784*k**3/3 - 26*k**2. Solve m(i) = 0 for i.
1, 28
Factor -50/19 - 2/19*s**2 - 52/19*s.
-2*(s + 1)*(s + 25)/19
Let a(l) be the first derivative of 4/3*l**3 - 4*l**2 + 4*l - 12. Let a(x) = 0. What is x?
1
Let g be (942/38151)/(1/18) + (-4)/9. Let h = -1 + 3. Find m, given that 27/7*m + 3/7*m**3 - 18/7*m**h + g = 0.
0, 3
Let i(d) = -30*d**2 - 261*d - 49. Let o(y) = 3*y**2 + y - 1. Let z(g) = 2*i(g) + 14*o(g). Suppose z(a) = 0. What is a?
-28, -2/9
Determine o, given that -5/6*o**4 - 7/6*o**3 + 0*o + 0 - 1/6*o**5 - 1/2*o**2 = 0.
-3, -1, 0
Factor -230*r + 4*r**2 + 4356 + 94*r - 128*r.
4*(r - 33)**2
Let n(t) be the second derivative of t**6/30 + 4*t**5/15 + 2*t**4/3 - 19*t**2 + 39*t. Let w(s) be the first derivative of n(s). Factor w(f).
4*f*(f + 2)**2
Let x(n) be the third derivative of n**4 + 8*n**2 + 1/12*n**6 + 0*n + 0 - 8/3*n**3 + 3/5*n**5. Factor x(b).
2*(b + 2)**2*(5*b - 2)
Let z(x) be the second derivative of 1/150*x**6 + 1/5*x**2 - 1/100*x**5 + 1/30*x**3 - x + 0 - 1/20*x**4. Factor z(m).
(m - 2)*(m - 1)*(m + 1)**2/5
Let r = 1/3645 + 233273/25515. Suppose 64*a + 928/7*a**2 - 1100/7*a**4 - 500/7*a**5 + r + 160/7*a**3 = 0. Calculate a.
-2, -2/5, 1
Let b(o) be the first derivative of 2*o**5/5 + 125*o**4 + 13776*o**3 + 550368*o**2 - 2370816*o - 193. Solve b(w) = 0 for w.
-84, 2
Suppose 55*w = 61*w + 4*s - 4, 0 = -2*w + 4*s - 4. Determine t, given that -2/5*t**3 + 2/5*t**2 + 4/5*t + w = 0.
-1, 0, 2
Let w(x) = 5*x**3 + 10*x**2 + 93*x + 74. Let q(i) = 3*i**3 + 4*i**2 + 47*i + 38. Let l(n) = -7*q(n) + 4*w(n). Factor l(b).
-(b - 15)*(b + 1)*(b + 2)
Determine t so that -2/3*t**2 - 50/3 + 20/3*t = 0.
5
Let w(a) be the first derivative of 3*a**4/28 + a**3/7 - 49. Factor w(p).
3*p**2*(p + 1)/7
Factor -40/7*v - 6 + 2/7*v**2.
2*(v - 21)*(v + 1)/7
Let l(o) be the second derivative of -o**5/10 + 13*o**4/6 - 55*o**3/3 + 75*o**2 + 96*o. Factor l(c).
-2*(c - 5)**2*(c - 3)
Let z = 113 - 110. Factor 6*u - 45 + 25*u**2 + 109*u**3 + 9*u - 104*u**z.
5*(u - 1)*(u + 3)**2
Let y be (-128)/(-644) - 4/(-46). Solve -y*u**2 - 2/7*u + 4/7 = 0.
-2, 1
Let g(h) be the third derivative of -h**8/672 - h**7/210 + h**6/80 - 72*h**2. Factor g(u).
-u**3*(u - 1)*(u + 3)/2
Let t be -13 - (-4 - (3 + -10)). Let i be 1*3 - (t + 16). Factor -1/2*m**2 - 1/4*m**i - 1/4*m + 0.
-m*(m + 1)**2/4
Let p be (-3)/(-2)*(-22)/33. Let s be (-1 + -1 - p) + 66/30. Determine r so that s*r**3 + 0*r**2 - 2/5*r + 0 + 4/5*r**4 = 0.
-1, 0, 1/2
Let z(p) = -p**3 - 53*p**2 - 4