
3*h**3*(h - 1)*(h + 1)
Find s such that -685*s**3 - 935*s - 17*s**4 + 200 + 170 - 2010*s**2 + 64*s**4 - 27*s**4 = 0.
-2, -1, 1/4, 37
Let 108864 - 51/4*j**4 + 3/8*j**5 + 72*j**3 + 1944*j**2 - 28512*j = 0. What is j?
-14, 12
Let f(r) be the first derivative of 3*r**4/28 - 79*r**3/7 + 342*r**2/7 - 4749. Factor f(m).
3*m*(m - 76)*(m - 3)/7
Suppose 41 = u - 62. Let n = -67 + u. Factor -9 + 3*o - 9*o**2 - 9*o + n*o.
-3*(o - 3)*(3*o - 1)
Let h(x) = -7*x**2 + 4*x + 26. Let c(t) be the second derivative of -t**4/3 + t**3/3 + 7*t**2 + t - 12. Let j(o) = -5*c(o) + 3*h(o). Factor j(n).
-(n - 4)*(n + 2)
Let w(l) be the first derivative of -l**5/20 - l**4/2 + 13*l**3/6 + 21*l**2 - 441*l/4 + 1442. Solve w(v) = 0 for v.
-7, 3
Let w(a) be the first derivative of -200*a**6/3 + 3856*a**5 + 8939*a**4 + 12272*a**3/3 - 1802*a**2 + 200*a - 3183. Suppose w(t) = 0. What is t?
-1, 1/10, 50
Let i(b) = -2*b + b**2 + 10 - 9*b + 0*b**2 - 17. Let m be i(13). Factor -q**4 + 19*q**3 + 7*q - m*q + 3*q**4 - 10*q**2 - 15*q**3.
2*q*(q - 2)*(q + 1)*(q + 3)
Factor 1/5*x**2 - 18/5*x - 19/5.
(x - 19)*(x + 1)/5
Let y(k) be the first derivative of -k**6/225 + k**5/75 + 2*k**4/45 - 8*k**3/45 + 54*k + 9. Let f(q) be the first derivative of y(q). Factor f(c).
-2*c*(c - 2)**2*(c + 2)/15
Find f such that 81 - 8*f - 22*f - 6*f + 39 + 6*f**2 + 3*f**3 - 93*f = 0.
-8, 1, 5
Let q be (-50)/6*(-951)/1585. Let b(w) be the third derivative of -256/3*w**3 + 2/105*w**7 + 9*w**2 - 16/3*w**4 + 8/5*w**q + 0 + 1/3*w**6 + 0*w. Factor b(f).
4*(f - 2)*(f + 4)**3
Determine j so that -43*j - 2114*j**2 + 43*j**3 + 2149*j**2 + 20*j**4 + 4 - 59*j**4 = 0.
-1, 4/39, 1
Factor -484*t**4 + 19192*t**3 - 235832*t**2 - 91391 - 10783 - 21884 - 531196*t - 7412 - 144214 + 4*t**5.
4*(t - 41)**3*(t + 1)**2
Let l(m) be the first derivative of m**5/80 + m**4/32 - 75*m**2/2 - 145. Let q(z) be the second derivative of l(z). Let q(a) = 0. Calculate a.
-1, 0
Let w(m) = 14*m**2 - 50*m + 1. Let j(q) = -q**2 + q + 1. Let a(h) = -j(h) + w(h). Let d(c) = -7*c**2 + 26*c. Let y(b) = -4*a(b) - 9*d(b). Factor y(k).
3*k*(k - 10)
Let s(p) = 5*p**3 - 12*p**2 + 105*p + 168. Let x(a) = -11*a**3 + 28*a**2 - 211*a - 337. Let t(u) = -13*s(u) - 6*x(u). Find j, given that t(j) = 0.
-3, 18
Let b be 16/(-98)*(43173/(-650) + (-4)/50). Factor 24/7 + 12*d**2 + b*d + 4/7*d**4 + 36/7*d**3.
4*(d + 1)**3*(d + 6)/7
Let c = -479/830 + 2203/1660. Factor 1/8*j**3 - c*j + 0 + 1/8*j**2.
j*(j - 2)*(j + 3)/8
Factor -51*i**3 - 6*i**3 - 195*i**4 + 25*i**3 - 43*i**3 - 130*i**2 + 190*i**4.
-5*i**2*(i + 2)*(i + 13)
Let j(q) be the first derivative of -28*q**6/9 - 1262*q**5/15 - 620*q**4 - 3718*q**3/9 - 242*q**2/3 - 1742. Find l, given that j(l) = 0.
-11, -2/7, -1/4, 0
Suppose 24*b - 22 = 98. Find a such that 57*a**2 - 30*a - b*a**3 - 75*a + 2*a**3 + 1834 - 1783 = 0.
1, 17
Let k = 1312 + -1312. Let a(q) be the third derivative of -1/390*q**5 + 2/39*q**4 - 14*q**2 - 16/39*q**3 + 0 + k*q. Factor a(z).
-2*(z - 4)**2/13
Let h(u) be the first derivative of -1/3*u**3 - 1849*u - 93 - 43*u**2. Determine t so that h(t) = 0.
-43
Let d be 1/(-4 + 21/5). Factor 13 - 22*c + 21*c**2 + 11 + 0*c - 9*c**4 + 21*c**3 - 3*c**d - 32*c.
-3*(c - 1)**3*(c + 2)*(c + 4)
Let q(x) be the first derivative of -x**3/7 + 15*x**2 + 213*x/7 + 1458. Factor q(h).
-3*(h - 71)*(h + 1)/7
Let t(u) = -2*u**4 - 14*u**3 - 2. Let m(a) = 7*a**4 - 119*a**3 + 319*a**2 - 159*a + 6. Let l(r) = 2*m(r) + 6*t(r). Factor l(b).
2*b*(b - 159)*(b - 1)**2
Let f(w) be the second derivative of -5*w**7/21 - 368*w**6/15 - 3346*w**5/5 + 1553*w**4/3 + 6697*w**3/3 - 2738*w**2 + 616*w - 1. Suppose f(m) = 0. What is m?
-37, -1, 2/5, 1
What is z in 0*z - 84/11*z**4 - 450/11*z**3 + 0 - 2/11*z**5 - 648/11*z**2 = 0?
-36, -3, 0
Let u(m) = 2*m**2 - 25*m + 48. Let j be u(12). Suppose -4*x - 25*q = -29*q - j, -40 = 8*q. Factor 4/15*g**2 - 2/15 + 2/15*g**5 - 4/15*g**3 + 2/15*g - 2/15*g**x.
2*(g - 1)**3*(g + 1)**2/15
Factor 12/5*z + 0 - 16/15*z**3 + 2/15*z**4 + 6/5*z**2.
2*z*(z - 6)*(z - 3)*(z + 1)/15
Let s = 375907 + -375907. Factor -12/11*h**2 + 14/11*h - 2/11*h**3 + s.
-2*h*(h - 1)*(h + 7)/11
Factor 2/5*p**3 + 20*p + 46/5*p**2 - 80.
2*(p - 2)*(p + 5)*(p + 20)/5
Let m(o) be the second derivative of o**4/4 - 30*o**3 + 1350*o**2 - 65*o - 9. Suppose m(p) = 0. What is p?
30
Let o(n) = -198*n**3 - 24*n**2 + 119*n + 110. Let l(x) = 90*x**3 + 12*x**2 - 60*x - 56. Let a(p) = -9*l(p) - 4*o(p). Factor a(i).
-2*(i - 2)*(3*i + 4)**2
Let c(r) = 9*r**3 + 5*r**2 + 11*r + 3. Let k(a) = 2*a**3 - a**2 - a - 1. Suppose -2*d + 18 = 26. Let j(l) = d*k(l) + c(l). Let j(w) = 0. Calculate w.
-7, -1
Let 6*y**5 - 71*y**3 - 9*y**4 + 10*y - 49*y**3 - 50*y + 186*y**2 - 32*y + 39*y**3 = 0. What is y?
-4, 0, 1/2, 2, 3
Let v(m) = -210*m**2 - 2400*m - 2205. Let t(h) = h**3 + h**2 + 3*h. Let l(o) = 5*o + 29. Let q be l(-6). Let n(s) = q*v(s) + 5*t(s). Factor n(c).
5*(c + 1)*(c + 21)**2
Let u(v) = -5*v + 162. Let w be u(31). Let c(m) = m**3 - 4*m**2 - 3*m + 6. Let k(z) = 3*z**3 - 13*z**2 - 10*z + 20. Let f(q) = w*c(q) - 2*k(q). Factor f(p).
(p - 2)*(p - 1)*(p + 1)
What is i in -7728*i + 558/5*i**2 - 2/5*i**3 - 7840 = 0?
-1, 140
Let v(s) = 19*s - 58*s - 12 + 30*s + 25*s + s**2 + 29. Let z be v(-15). Let 2/19*g**3 - 6/19 - 10/19*g - 2/19*g**z = 0. What is g?
-1, 3
Let s(l) be the second derivative of -l**7/42 + 257*l**6/30 - 21663*l**5/20 + 189225*l**4/4 + 439002*l**3 + 3461*l. Determine w so that s(w) = 0.
-4, 0, 87
Let h(l) be the second derivative of -2*l**7/63 + 68*l**6/45 - 64*l**5/15 - 2*l**4/9 + 130*l**3/9 - 64*l**2/3 - 951*l. Let h(i) = 0. What is i?
-1, 1, 32
Determine s, given that -104/3*s + 2704/3*s**2 + 1/3 = 0.
1/52
Let h(q) = 6*q**4 + 7*q**3 + 7*q**2. Let b be 5 + -7 + 39/(-3). Let i(n) = -13*n**4 - 13*n**3 - 15*n**2. Let v(y) = b*h(y) - 6*i(y). Factor v(p).
-3*p**2*(p + 1)*(4*p + 5)
Let f(t) be the first derivative of -4*t**4 + 70*t**3/3 - 71*t**2/2 - 10*t + 2293. Determine u, given that f(u) = 0.
-1/8, 2, 5/2
Suppose 36*v = 35*v + 24. Let a(z) = -z**3 + 26*z**2 - 49*z + 24. Let g be a(v). Find o such that -2/9*o**2 + 2/9*o + g = 0.
0, 1
Let t = -153923 - -153925. Factor -2/3 + 4/3*m**4 - m + 16/3*m**t - 5*m**3.
(m - 2)*(m - 1)**2*(4*m + 1)/3
Let x(c) = 22*c**2 + 48*c + 12. Let o(i) = 21*i**2 + 48*i + 15. Let n(f) = 7*o(f) - 6*x(f). Factor n(z).
3*(z + 1)*(5*z + 11)
Let o(m) be the first derivative of m**6/6 - m**4/2 + m**2/2 - 1448. Factor o(r).
r*(r - 1)**2*(r + 1)**2
Let y(v) be the first derivative of -v**5/50 + 121*v**4/40 + 272*v**3/3 + 705*v**2 + 14854. Factor y(w).
-w*(w - 141)*(w + 10)**2/10
Suppose 821*c - 1974*c = -918*c. Factor 0*v**2 + 0*v**3 - 1/5*v**4 + 0*v + c.
-v**4/5
Determine l so that -59/2*l**5 + 53/2*l**3 + 3*l + 65/2*l**4 + 0 - 65/2*l**2 = 0.
-1, 0, 6/59, 1
Determine z so that 0*z + 0*z**3 - 5/6*z**4 + 0 + 5/6*z**2 = 0.
-1, 0, 1
Suppose -41*k + 1393 = 1147. Let o(s) be the third derivative of -1/120*s**5 + 0*s**3 + 1/48*s**4 + 0*s + 0 + k*s**2. Factor o(d).
-d*(d - 1)/2
Let g(f) be the first derivative of f**4/30 + 8*f**3/5 + 131*f**2/15 + 64*f/5 - 2375. Determine a so that g(a) = 0.
-32, -3, -1
Let t = 10324 - 30964/3. Let o(y) be the second derivative of -t*y**3 + 8*y**2 - 21*y + 1/3*y**4 + 0. Factor o(h).
4*(h - 2)**2
Let b be (2/(-3))/(-16 + 2272/144). Suppose 2*i - 4272 = -0*i. Factor u**2 + 15*u + 5*u**b - i - 16*u**2 + 2131.
5*(u - 1)**3
Let g be (-5)/(25/(-5)) - (48/(-4))/6. Let c(t) be the first derivative of 4/21*t**g + 12/7*t**2 + 36/7*t - 13. Solve c(q) = 0 for q.
-3
Let i(y) = 2*y**4 - 20*y**3 + 24*y**2 + 4*y + 14. Let q = -97 - -98. Let h(t) = -t**3 + t**2 + t + 1. Let b(m) = q*i(m) - 12*h(m). Find d, given that b(d) = 0.
1
Suppose 0 = -16*r + 17*r + 6. Let j be r/(-9) + (-12)/(-9) + 0. Suppose 272 + 2*d**2 - 272 + j*d = 0. What is d?
-1, 0
Let y(v) = -2*v**3 - 13*v**2 - 13*v - 10. Let b be y(-5). Let r be (1 + 1)/(b/(-45)). Determine p so that 81/4 + 1/4*p**2 - r*p = 0.
9
Factor 87*x**3 - 93/2 - 181*x**2 - 1/2*x**5 - 25/2*x**4 + 307/2*x.
-(x - 3)*(x - 1)**3*(x + 31)/2
Let h(j) be the second derivative of 0 + 1/16*j**4 + 56*j + 5/4*j**3 + 63/8*j**2. Let h(k) = 0. What is k?
-7, -3
Let g(j) be the second derivative of 5*j**4/12 - 160*j**3/3 + 310*j**2 - 4878*j. Suppose g(q) = 0. What is q?
2, 62
Let k = -617 + 617. Suppose 0