5*u**4/24 - 50*u**3 + 197*u**2 + 2*u. Factor z(t).
(t - 12)*(t + 5)**2
Let o(g) be the first derivative of 3*g**5/5 - 51*g**4/2 + 321*g**3 - 816*g**2 + 768*g + 121. Find y, given that o(y) = 0.
1, 16
Let b(q) = q**3 + 17*q**2 + 31*q + 18. Let j be b(-15). Suppose -3*s**2 - 2*s**2 - 5 - 27 + 16*s + j*s**2 = 0. What is s?
4
Let w(n) = 20*n + 644. Let a be w(-32). Let b(i) be the first derivative of 0*i - a - 1/5*i**3 + 0*i**2. Let b(v) = 0. Calculate v.
0
Let q(h) = -2*h**2 + 6*h - 16. Let k(x) = -x**2 - x - 4. Let y(z) = -6*k(z) + q(z). Let y(j) = 0. Calculate j.
-2, -1
Factor 6534/5 + 132/5*l + 2/15*l**2.
2*(l + 99)**2/15
Let w(m) be the first derivative of -m**6/360 + 7*m**5/120 - 13*m**3/3 - 21. Let b(t) be the third derivative of w(t). Determine d so that b(d) = 0.
0, 7
Let n(c) be the first derivative of -9*c**4/2 + 158*c**3/3 + 216*c**2 + 88*c + 177. Factor n(r).
-2*(r - 11)*(r + 2)*(9*r + 2)
Let g be (-11 + 380/40)*6/(-4). Factor -g*d + 3/4*d**2 + 0.
3*d*(d - 3)/4
Let y(s) be the second derivative of -3*s**5/20 + 3*s**4/4 + 3*s**3 - 12*s**2 + 121*s + 2. Determine w so that y(w) = 0.
-2, 1, 4
Let k(u) be the first derivative of -u**4/10 - 32*u**3/5 + 20*u**2 - 281. Factor k(t).
-2*t*(t - 2)*(t + 50)/5
Determine f, given that 0 - 4/23*f**5 + 8/23*f - 18/23*f**4 + 0*f**2 - 22/23*f**3 = 0.
-2, -1, 0, 1/2
Let b(o) be the second derivative of -1/120*o**5 + 7*o + 0 - 1/6*o**3 - o**2 + 1/16*o**4. Let m(q) be the first derivative of b(q). Find d such that m(d) = 0.
1, 2
Factor -2*v**5 - 37*v + 15*v**4 + 0*v**5 + v**4 + 5*v - 48*v**3 + 64*v**2.
-2*v*(v - 2)**4
Let d(j) be the second derivative of j**9/83160 - j**8/12320 + 13*j**4/3 - 5*j. Let h(x) be the third derivative of d(x). Find l such that h(l) = 0.
0, 3
Let k be ((-8)/(-12))/((-2)/(-9)). Let l be k*3/6*2. Factor 3 - 3 - i**l - i**2.
-i**2*(i + 1)
Let a(l) be the third derivative of l**5/12 - 5*l**4/8 - 100*l**3/3 - 247*l**2. Factor a(n).
5*(n - 8)*(n + 5)
Let c be 6/(-9)*(-8 - (-25)/5). Let h(q) be the first derivative of 0*q - 8 - c*q**2 + 2/3*q**3. Factor h(n).
2*n*(n - 2)
Let g(n) be the second derivative of n**7/84 - 11*n**6/60 + 33*n**5/40 - 37*n**4/24 + 7*n**3/6 - 60*n. Factor g(o).
o*(o - 7)*(o - 2)*(o - 1)**2/2
Let m(d) be the first derivative of -d**5 - 25*d**4/4 - 20*d**3/3 - 29. What is k in m(k) = 0?
-4, -1, 0
Let z(p) be the first derivative of 0*p + 0*p**2 + 2/3*p**6 - 1 - 12/5*p**5 + 3*p**4 - 4/3*p**3. Solve z(d) = 0 for d.
0, 1
Let t(u) = 6*u**3 + 11*u**2 + 16*u. Let b(j) = 2*j**3 + 7*j**2 + 3*j + 0*j**2 - j**3 - 5*j**2. Let c(l) = -33*b(l) + 6*t(l). Factor c(g).
3*g*(g - 1)*(g + 1)
Find h such that 0*h - 1/3*h**3 + 0 + 13*h**2 = 0.
0, 39
Let l be (-2)/(-9) - ((-7392)/27 + 0). Factor -3*x**3 + 2*x**4 + l*x**5 + 2*x**3 - 275*x**5.
-x**3*(x - 1)**2
Let q(k) be the first derivative of 25*k**3 + 65*k**2/2 - 10*k + 48. Factor q(z).
5*(z + 1)*(15*z - 2)
Factor 56/5*r - 4*r**2 - 48/5 + 2/5*r**3.
2*(r - 6)*(r - 2)**2/5
Let q = -368338/13 + 28334. Determine y so that -q*y**2 + 0 + 0*y + 2/13*y**3 = 0.
0, 2
Factor 26015*f**4 + 22*f**2 - 25990*f**4 - 5*f**5 - 2*f**2 - 40*f**3.
-5*f**2*(f - 2)**2*(f - 1)
Let r(y) = 4*y**3 + 7*y - 1. Let g(m) = 5*m**3 + 8*m - 1. Let s(h) = -5*g(h) + 6*r(h). Let l be s(-2). Factor 8/7 - 2/7*d**l - 2/7*d**2 + 8/7*d.
-2*(d - 2)*(d + 1)*(d + 2)/7
Factor -50/3*n + 5/3*n**2 + 35.
5*(n - 7)*(n - 3)/3
What is m in 0 + 0*m + 10*m**3 + 1/2*m**4 + 50*m**2 = 0?
-10, 0
Let l be 5/(-24)*8/(-10) - 51/(-18). Solve -44/9*v**2 - 16/9 - 8/9*v**l - 52/9*v = 0 for v.
-4, -1, -1/2
Let x(s) be the third derivative of s**6/220 - s**5/22 - s**4/11 + 20*s**3/11 - 183*s**2. Factor x(r).
6*(r - 5)*(r - 2)*(r + 2)/11
Determine h so that 300/17*h - 2/17*h**2 - 11250/17 = 0.
75
Let p = 2/18225 + 6073/18225. What is h in 5/2*h**2 + 4*h + p*h**3 - 8/3 = 0?
-4, 1/2
Suppose 0 = -4*o + 3*o + 322. Let c be (o/(-28))/(0 - (-5)/(-24)). Factor -1911/5*j**4 + 0 - 24/5*j - 1134/5*j**3 - c*j**2 - 1029/5*j**5.
-3*j*(j + 1)*(7*j + 2)**3/5
Suppose 5*w = w + 8, -w + 4 = o. Suppose 4*p - o*p - 6 = 0. Factor -2 + p*z**2 + 2*z - 2*z + 0 - z.
(z - 1)*(3*z + 2)
Let l(g) be the third derivative of 1/75*g**5 + 0*g - 4/15*g**3 + 37*g**2 - 1/30*g**4 + 0. Find k such that l(k) = 0.
-1, 2
Suppose 3*r + 5*t + 9 = 0, 4*t + 22 = r + 4*r. Suppose -c + 2 = v, -v - 2 = -r*v + c. Find d, given that 0*d - 1/4 + 1/4*d**v = 0.
-1, 1
Let y(v) be the third derivative of 0 + 0*v + 0*v**4 + 2/525*v**7 + 1/75*v**6 + 2*v**2 - 1/25*v**5 + 0*v**3. Find k, given that y(k) = 0.
-3, 0, 1
Let 12321/4*n + 333/4*n**2 + 3/4*n**3 + 151959/4 = 0. Calculate n.
-37
What is n in -10092*n**2 - 5658248 - 1/2*n**4 - 116*n**3 - 390224*n = 0?
-58
Let v(p) be the third derivative of 0*p - 1/180*p**6 + 0 + 2/9*p**3 + 1/630*p**7 - 19*p**2 - 1/60*p**5 + 1/18*p**4. Determine s so that v(s) = 0.
-1, 2
Let b(r) be the first derivative of -13*r**3 - 33*r**2 + 78*r + 13. Let o(t) = -3*t**2 - 5*t + 6. Let s(d) = -2*b(d) + 27*o(d). Factor s(f).
-3*(f - 1)*(f + 2)
Suppose -87 - 221 = -2*c. Let r = c + -151. Factor 3/5*y**r + 0 + 6/5*y**2 + 0*y.
3*y**2*(y + 2)/5
Let m(h) be the second derivative of -5/6*h**4 - 5/42*h**7 + 0 - 8*h + 5/6*h**3 + 0*h**5 + 0*h**2 + 1/3*h**6. Factor m(g).
-5*g*(g - 1)**3*(g + 1)
Suppose -52*f = -120 - 88. Factor 0*a - 2/13*a**2 + 0 + 2/13*a**f + 0*a**3.
2*a**2*(a - 1)*(a + 1)/13
Let l(g) be the first derivative of g**4/4 + 2*g**3 + 3*g**2 + 7*g - 5. Let t be l(-5). Find m such that -2 - 4*m - 2*m - 2*m**3 + 2 - 2 - 6*m**t = 0.
-1
Let t = 1827 - 1827. Let d(u) be the second derivative of -1/51*u**3 - 2/17*u**2 + t + 1/102*u**4 - 4*u. Factor d(z).
2*(z - 2)*(z + 1)/17
Suppose 0 + 2/15*l**3 + 10/3*l - 4/3*l**2 = 0. What is l?
0, 5
Let d = -7766 - -7768. Factor -10/11*l - 2/11*l**3 - 4/11 - 8/11*l**d.
-2*(l + 1)**2*(l + 2)/11
Let c be (0 - -2) + 3/3. Let s be 3 - 2 - (3 - 5). Factor -3*z**3 + s*z + 4*z**c - 2 - 2*z**3.
-(z - 1)**2*(z + 2)
Let t(i) be the second derivative of -i**7/2940 + i**6/420 + i**5/105 - 4*i**3/3 - 2*i**2 - 46*i. Let d(w) be the second derivative of t(w). Factor d(y).
-2*y*(y - 4)*(y + 1)/7
Factor 5/3*u**3 + 155/3*u + 85/3*u**2 + 25.
5*(u + 1)**2*(u + 15)/3
Let q be ((-74)/(-6))/((-15)/(-45)). Suppose -2*w + w = 4*i - 24, 0 = -3*w - 5*i + q. Factor -4*r**4 + 5*r**w + r**2 - r**3 - 2*r**2 + r.
r*(r - 1)**2*(r + 1)
Let s be (650/39)/(2/((-12)/(-2))). Let v be 20*(-3 - (-154)/s). Find b, given that v - 2/5*b**3 + 0*b - 6/5*b**2 = 0.
-2, 1
Let b be -5*12/(-112)*4. Factor 3/7*s**3 + 27/7 - b*s**2 + 9/7*s.
3*(s - 3)**2*(s + 1)/7
Let b(l) = -6*l**5 + 12*l**4 + 12*l**3 - 4*l**2 - 6*l - 8. Let a(x) = -2*x**5 + x**4 + x**3 + x - 1. Let m(q) = 4*a(q) - b(q). Suppose m(f) = 0. What is f?
-2, -1, 1
Let v = 3 - 1. Let x = 1660/7 - 236. Let x*n**v + 60/7*n**3 + 0 + 10/7*n**5 + 46/7*n**4 - 16/7*n = 0. What is n?
-2, -1, 0, 2/5
Solve 11 + 208*d**2 - 222*d + 13 - 3 - 7 + 20*d**3 - 52*d**4 + 22 + 10*d**5 = 0 for d.
-2, 1/5, 1, 3
Determine v, given that -3/2*v**2 + 3/4*v**5 - 31/2*v**3 + 59/4*v + 31/4 - 25/4*v**4 = 0.
-1, 1, 31/3
Let c be 4 + ((-4)/(-2))/(3/(-33)). Let a(v) = v**3 + 19*v**2 + 16*v - 34. Let k be a(c). Factor 1/3*w**k + 0*w - 1/3.
(w - 1)*(w + 1)/3
Let b(z) be the first derivative of 49*z**5/15 + 77*z**4/9 + 64*z**3/9 + 8*z**2/3 - 27*z - 36. Let h(m) be the first derivative of b(m). Factor h(l).
4*(l + 1)*(7*l + 2)**2/3
Let d(a) be the third derivative of -1/15*a**3 + 0 - 1/30*a**4 + 0*a - 1/150*a**5 - 15*a**2. Find u, given that d(u) = 0.
-1
Let y(s) be the first derivative of -s**6/6 + 9*s**5/5 + 3*s**4/4 - 25*s**3/3 - 9*s**2 - 432. Find o such that y(o) = 0.
-1, 0, 2, 9
Suppose 3*z + 2*d = 22, 0 = -z - 98*d + 95*d + 19. Factor -2/7*j**2 + 0 + 0*j + 2/7*j**z + 0*j**3.
2*j**2*(j - 1)*(j + 1)/7
Suppose r - 18 + 4 = 0. Suppose -2*x = 3*d - 14, 7 + 13 = 4*d + 3*x. Suppose 21*s - r*s - 44*s**d - 63*s - 16 - 10*s**3 = 0. What is s?
-2, -2/5
Let u(r) = -18*r**3 - 2*r**2 + 1. Let k be u(-1). Factor 3*a + k*a**2 - 21*a**2 - 2*a.
-a*(4*a - 1)
Let x = 8786 + -8786. Solve 2/9*o**3 + 1/9*o**4 + x - 1/9*o**2 - 2/9*o = 0 for o.
-2, -1, 0, 1
Let w(y) = y**2 - y - 16. Let l be w(5). Solve 2*a**2 - 895 + 891 - l*a + 2*a = 0 for a.
-1, 2
Let s = 75 - 32. Factor -12*p - 41*p**2 + 4*p**3 + 76*p**2 - s*p**2.
4*p*(p - 3)*(p + 1)
Le