l(w).
-2*(w + 1)**2
Let t(z) = z**2 + 1. Let s = -564 + 565. Let n(c) = -10*c**2 + 185*c - 205. Let p(l) = s*n(l) + 15*t(l). Factor p(g).
5*(g - 1)*(g + 38)
Let l(s) = -6*s**4 - s**3 - 2*s. Let p(y) = 19*y**4 - 67*y**3 + 1525*y**2 - 10494*y + 22500. Let q(k) = -6*l(k) - 2*p(k). Factor q(w).
-2*(w - 30)**2*(w - 5)**2
Solve 0*h + 0 - 1/2*h**5 - 44*h**4 + 273/2*h**3 + 0*h**2 = 0.
-91, 0, 3
Factor -32/3*s**4 + 0*s - 54/5*s**3 + 0*s**2 + 2/15*s**5 + 0.
2*s**3*(s - 81)*(s + 1)/15
Suppose 3*u + 4*m = 7*m, -4*m + 2 = -3*u. Let j be u/(3/(-438)*-2). What is s in 14*s**5 - 74*s**4 - 91*s**2 - 8 + 0 + 63*s**2 + 56*s - 106*s**2 + j*s**3 = 0?
2/7, 1, 2
Let w(g) be the third derivative of g**5/60 + 161*g**4/3 + 207368*g**3/3 - 4*g**2 - 40. Let w(m) = 0. What is m?
-644
Let k be ((-300)/130)/(-25 - 25936/(-1040)). Factor -3/2*x**2 + k*x + 0.
-3*x*(x - 25)/2
Let b(x) be the second derivative of 211*x**4/72 - 71*x**3/12 + x**2/6 - 531*x - 1. Factor b(g).
(g - 1)*(211*g - 2)/6
Suppose 6*o - 9*o - 345 = 0. Let r = -111 - o. Factor -s**4 - 6*s**3 + 3*s**2 - r*s**2 - 4*s**2.
-s**2*(s + 1)*(s + 5)
Let c(q) be the second derivative of 0 + 13*q + 0*q**3 - 2/3*q**4 - 3/2*q**2 - 1/15*q**5. Let y(n) be the first derivative of c(n). Suppose y(s) = 0. What is s?
-4, 0
Let m(f) be the third derivative of -1/450*f**6 + 17*f**2 + 0*f + 2/75*f**5 - 10/3*f**3 + 0 - 1/10*f**4. Let d(c) be the first derivative of m(c). Factor d(o).
-4*(o - 3)*(o - 1)/5
Let r(a) = -a**3 - 9*a**2 + 8*a - 8. Suppose 4*i + 4*v = -40, 5*i - v = -3*v - 50. Let w be r(i). Factor -26 - 3*t**2 + w*t + 12*t - 22.
-3*(t - 4)**2
Let k(a) be the first derivative of 21/8*a**2 + 8 + 1/4*a**3 - 21/16*a**4 + 0*a - 3/20*a**5. Let k(y) = 0. What is y?
-7, -1, 0, 1
Let n(l) = -43 + 0*l + 49 + l. Let v be n(11). Solve v*s - 41*s + 5*s**2 + 20 + 4*s = 0.
2
Let a(n) be the second derivative of -n**7/42 - 11*n**6/30 - 39*n**5/20 - 15*n**4/4 - 1119*n - 2. Factor a(r).
-r**2*(r + 3)**2*(r + 5)
Let p(z) be the first derivative of z**3/6 - 164*z**2 + 53792*z + 2144. Factor p(d).
(d - 328)**2/2
Let q(c) be the first derivative of c**6/450 + c**5/25 - 8*c**4/15 + 14*c**3 + 55. Let m(g) be the third derivative of q(g). Let m(l) = 0. What is l?
-8, 2
Let m(x) be the first derivative of -x**5/240 - 5*x**4/96 - x**3/4 + 27*x**2 + 114. Let p(h) be the second derivative of m(h). Factor p(u).
-(u + 2)*(u + 3)/4
Let f(h) be the second derivative of -1323/16*h**3 - 2*h - 15 - 27783/16*h**2 - 63/32*h**4 - 3/160*h**5. Determine b, given that f(b) = 0.
-21
Suppose 4*j - 196 = -8. Let t = j + -44. Determine y, given that -12*y + 28*y**3 + 23*y**t + 8 - 47*y**3 = 0.
-2, 1
Find p, given that 693/10*p - 6*p**4 + 1/10*p**5 - 106/5 + 193/5*p**3 - 404/5*p**2 = 0.
1, 4, 53
Let j(b) be the first derivative of 3*b**5/5 + 9*b**4/4 - b**3 - 9*b**2/2 + 942. Factor j(l).
3*l*(l - 1)*(l + 1)*(l + 3)
Let k = 6377 + -6375. Let a(s) be the second derivative of -1/3*s**3 - 3/5*s**5 + 0*s**k + 2/3*s**4 + 10*s + 0 + 4/15*s**6 - 1/21*s**7. Factor a(l).
-2*l*(l - 1)**4
Let w = -40 + 42. Suppose -8*f + 3*f + 24 = -w*k, -2*f - 5*k - 2 = 0. Factor 2*l**2 - 3*l**4 - 5*l**2 + 7*l**4 - l**f.
3*l**2*(l - 1)*(l + 1)
Let r = 3077 + -3073. Let t(j) be the second derivative of 0*j**2 - r*j - 4/3*j**3 + 3/2*j**4 - 3/5*j**5 + 1/15*j**6 + 0. Factor t(h).
2*h*(h - 4)*(h - 1)**2
Let f = 2022 + -2022. Let n(h) be the third derivative of -1/80*h**5 - 7*h**2 + 0*h + 0 + 0*h**3 + f*h**4. Factor n(j).
-3*j**2/4
Let i(h) = 28*h**5 + 36*h**4 + 56*h**3 + 2*h**2 + 11*h + 19. Let b(v) = 3*v**5 + 4*v**4 + 6*v**3 + v + 2. Let t(p) = 19*b(p) - 2*i(p). Factor t(n).
n*(n - 1)*(n + 1)**2*(n + 3)
Let l(u) be the second derivative of u**9/52920 - u**8/23520 - u**7/1764 - u**6/840 + 23*u**4/3 + 66*u. Let r(k) be the third derivative of l(k). Factor r(o).
2*o*(o - 3)*(o + 1)**2/7
Suppose -10*o - 2*r - 22 = -14*o, 2*o = 5*r + 31. Let n(l) be the second derivative of -4/21*l**o - 5/7*l**2 + 1/42*l**4 + 11*l + 0. Factor n(j).
2*(j - 5)*(j + 1)/7
Let l(d) = d**3 - 18*d**2 + 31*d + 23. Let r be l(16). Suppose -95 = r*i - 116. Factor -5/4*u**i - 7/4*u - 1/2 - 1/4*u**4 - 9/4*u**2.
-(u + 1)**3*(u + 2)/4
Let d(b) be the first derivative of 5*b**3/3 + 2345*b**2 + 1099805*b + 5836. Determine s so that d(s) = 0.
-469
Factor -2/3*v**3 - 178/3 + 178/3*v**2 + 2/3*v.
-2*(v - 89)*(v - 1)*(v + 1)/3
Let z(y) be the second derivative of 18 - 1/80*y**5 + 0*y**2 + 0*y**3 + 1/168*y**7 - 1/12*y**4 - 2*y + 1/30*y**6. Factor z(f).
f**2*(f - 1)*(f + 1)*(f + 4)/4
Let k(s) be the second derivative of 0*s**3 - 1/16*s**4 + 0*s**2 + 10 - 3/80*s**5 + s. Let k(n) = 0. What is n?
-1, 0
Suppose -k - 4*w = -29, 5*k + w = 6*k - 4. Let t be 6*k/(-81)*(1 + -4). Suppose 7730 - 7730 + 2*c**2 - t*c = 0. Calculate c.
0, 1
Let b = 331/3732 + -5/933. Let r(w) be the third derivative of 0*w - 5/2*w**4 + 0 + 40*w**2 - 30*w**3 - b*w**5. Factor r(n).
-5*(n + 6)**2
Let r = 813 + -773. Let c be 34/r - (-30)/(-50). Determine t so that -11/4*t**3 + 0 - c*t + 7/4*t**2 + 5/4*t**4 = 0.
0, 1/5, 1
Let f be (9/12)/(3 + -4) + 3. Let b = f - 2. Let 0 + 1/2*y**2 + 0*y + b*y**3 = 0. Calculate y.
-2, 0
Let s(t) be the second derivative of t**6/105 + 8*t**5/35 + 17*t**4/14 + 12*t**3/7 + 1800*t. Find y such that s(y) = 0.
-12, -3, -1, 0
Suppose 0 = 323*p - 322*p - 3. Suppose p*x - 7*x + 6 = -2*f, -f = 1. Solve x + 1/4*y**2 + y = 0.
-2
Suppose -7 = -48*m + 333*m - 7. Factor m - 3/2*l**2 + 21/2*l.
-3*l*(l - 7)/2
Suppose 461*g = 465*g - 8. Suppose 4 = g*z + 4*v - 0, -5*v - 8 = -4*z. Factor -7*t - 1/2*t**z - 49/2.
-(t + 7)**2/2
Let y(m) = m**3 - 3*m**2 - 3*m - 1. Let h(n) = -2*n**3 - n**2 + 5*n + 2. Let j be h(-2). Let d be y(j). Factor 8 - 8*k**4 - 16 + 4*k**d + 4*k**2 + 8.
-4*k**2*(k - 1)*(2*k + 1)
Let f = 1 - -1. Solve 5552*t**f + t - 21*t + 2*t**3 + 16 - 5550*t**2 = 0.
-4, 1, 2
Let i be ((-9)/(-30))/(738/410). Find f such that -i*f**2 - 1/3*f + 0 = 0.
-2, 0
Let -6507*u**4 + 6508*u**4 - 333*u**3 + 270*u**3 - 130*u**2 = 0. Calculate u.
-2, 0, 65
Let d(f) = 3*f - 12. Let z be d(6). Suppose p + z = 4*p. What is h in -4*h**2 + 6*h**4 + 55*h**5 - 53*h**5 + p*h**4 - 12*h**3 - 4*h**2 + 10*h = 0?
-5, -1, 0, 1
Let g(c) = 2*c**2 - 3*c - 7. Let i be g(3). Let n(j) = 2*j**2 - 7*j + 9. Let p be n(i). Solve 2*k - 108*k**p + 217*k**3 - 13*k**2 - 98*k**3 = 0.
0, 2/11, 1
Suppose 10*u = -5*c + 5*u - 5045, -2*c - u = 2021. Let r = -1000 - c. Determine f, given that r*f - 6 - 3/8*f**4 + 3*f**3 - 9*f**2 = 0.
2
Let z = 4705448/516447 + -14/172149. Solve -2/9*i**2 + 0 - z*i = 0 for i.
-41, 0
Let h = 1073/2 - 559. Let c = -21 - h. Find n such that -3/4*n - 1/2*n**4 - 3/4*n**5 + n**2 + c*n**3 - 1/2 = 0.
-1, -2/3, 1
Let c = 149525/59802 - 10/29901. Find q, given that -100*q**4 + 40*q**5 + 25/2*q**2 + 125/2*q**3 - c - 25/2*q = 0.
-1/4, 1
Let j(u) be the third derivative of u**7/840 - 17*u**6/480 + 17*u**5/60 - 25*u**4/24 + 2*u**3 + 263*u**2. Factor j(o).
(o - 12)*(o - 2)**2*(o - 1)/4
Let m(j) = 31*j - 202. Let a be m(6). Let z be a/(3 + (-117)/18). Factor -16/7*i**2 - 2/7 + 2*i - z*i**3.
-2*(i + 1)*(4*i - 1)**2/7
Factor -5/2*l**3 + 14700 - 2590*l + 145*l**2.
-5*(l - 30)*(l - 14)**2/2
Let z(w) be the third derivative of w**7/315 + 2*w**6/9 - 43*w**5/30 + w**4/9 + 172*w**3/9 + 7923*w**2. Let z(y) = 0. Calculate y.
-43, -1, 2
Let u = -29844 + 29849. Let j(a) be the third derivative of u*a**2 + 1/70*a**7 - 1/30*a**6 + 0 + 1/336*a**8 + 0*a**5 + 0*a**4 + 0*a**3 + 0*a. Factor j(m).
m**3*(m - 1)*(m + 4)
Let p(k) be the third derivative of -k**6/120 - 41*k**5/20 - 61*k**4/12 - k**2 + 456*k. Suppose p(x) = 0. Calculate x.
-122, -1, 0
Factor -21*d + 354*d + 265*d**2 - 29*d**3 + 10 - 10 + 40*d**2 - d**4.
-d*(d - 9)*(d + 1)*(d + 37)
Let d(z) be the first derivative of 5*z**3 - 5/12*z**4 - 45/2*z**2 - 15 - 3*z. Let f(v) be the first derivative of d(v). Determine m, given that f(m) = 0.
3
Let u = -42409 + 551329/13. Find d, given that 8/13*d**4 + 0 + u*d**3 + 2/13*d + 2/13*d**5 + 8/13*d**2 = 0.
-1, 0
Let t = 16/295 - -11/885. Let s(a) be the first derivative of 0*a**5 + 1/5*a**4 + 0*a - t*a**6 - 10 - 1/5*a**2 + 0*a**3. Factor s(k).
-2*k*(k - 1)**2*(k + 1)**2/5
Let o(y) be the first derivative of -y**6/18 - 2*y**5/3 - 31*y**4/12 - 22*y**3/9 + 16*y**2/3 + 32*y/3 + 1072. Find b such that o(b) = 0.
-4