1/5*a + 3/5*a**2 + f.
3*(a - 5)*(a - 2)/5
Let u(d) be the third derivative of 0*d**3 - 11/15*d**5 + d**4 + 0 + 2/15*d**6 + 2/105*d**7 + 0*d + 28*d**2. Factor u(g).
4*g*(g - 1)**2*(g + 6)
Solve 3/4*h**3 + 0 - 3/2*h**2 - 9/4*h = 0 for h.
-1, 0, 3
Suppose 56*x = 44*x - 6348. Let n = x + 529. Determine k so that n*k + 1/2*k**3 - 2*k**2 + 0 = 0.
0, 4
Let l be (48/126)/((-36)/(-27)). Let a = 629 - 629. Find p such that l*p**3 + 0 + 0*p + 1/7*p**4 - 1/7*p**5 + a*p**2 = 0.
-1, 0, 2
Let o(m) be the third derivative of -m**6/280 + 6*m**4/7 + 64*m**3/7 + 488*m**2. Find c such that o(c) = 0.
-4, 8
Let p(g) be the third derivative of -5*g**8/504 - 59*g**7/945 - 43*g**6/270 - g**5/5 - 11*g**4/108 + g**3/27 - 649*g**2. Find m, given that p(m) = 0.
-1, 1/15
Let t be 271/(-9) + (1001/99 - 10). Let l be (-3)/(-9) - (-10)/t. Factor 1/2 + l*y - 1/2*y**2.
-(y - 1)*(y + 1)/2
Let s(u) be the first derivative of -u**4/2 + 2*u**3 + 141*u**2 - 286*u - 2183. Solve s(p) = 0 for p.
-11, 1, 13
Let a(q) be the first derivative of -q**4/4 + 2*q**3 + 15*q**2/2 - 19*q - 54. Let i(g) be the first derivative of a(g). Let i(m) = 0. Calculate m.
-1, 5
Let c = -79597 + 79600. Suppose 0 = -r + 4*r. Suppose 3*l + r - 9/2*l**2 + 9/2*l**4 - c*l**3 = 0. Calculate l.
-1, 0, 2/3, 1
Let y(b) = -2*b**2 + 30*b - 33. Let a be y(13). Determine x, given that -9*x**2 + a - 5*x**3 + 46*x - 17*x**2 + 37 + 3*x**3 - 14*x = 0.
-14, -1, 2
Let j(c) = c**5 - c**4 - 2*c**3 - 1. Let q(f) = 8*f**5 + 169*f**4 + 2762*f**3 - 2904*f**2 - 255552*f - 5. Let i(x) = 5*j(x) - q(x). Factor i(u).
-3*u*(u - 8)*(u + 22)**3
Find g, given that 300/7*g**3 - 20*g**5 - 16/7*g**2 - 16/7*g - 128/7*g**4 + 0 = 0.
-2, -1/5, 0, 2/7, 1
Let w(z) = 13*z**3 + 10*z**2 - 8*z. Let t be w(1). Factor -3*h**2 + 4 + 21*h - 4 + 24 + t*h - 30*h.
-3*(h - 4)*(h + 2)
Let x(m) be the second derivative of m**8/6720 + m**7/840 - m**6/180 + m**4/12 - 3*m**3 - 10*m. Let p(b) be the third derivative of x(b). Solve p(u) = 0 for u.
-4, 0, 1
Let f(i) be the third derivative of -8 + 1/10*i**4 + 1/200*i**6 - 1/20*i**5 - 3*i**2 + 0*i + 0*i**3. Factor f(u).
3*u*(u - 4)*(u - 1)/5
Suppose 10*h - 6*h - 14 = -2*l, -l - 3 = -3*h. Let i - 8 + 8*i + 4*i**2 - 372*i**3 + 4*i**4 + 360*i**3 + l*i = 0. Calculate i.
-1, 1, 2
Let p(k) = k**3 - 9*k + 5. Suppose -4*q - 3*i = -31, 4*q + 2*i = -0*q + 26. Let h be p(q). Solve h*d**2 + 21*d**4 + 69*d**3 - 39*d**2 + 66*d**2 + 12*d = 0.
-2, -1, -2/7, 0
Let b be 118/(-8) + 319 + -305 - (-45)/12. Determine y, given that 8/3*y**2 - 4/3*y**4 - 8/3*y**b + 4/3*y**5 + 4/3*y - 4/3 = 0.
-1, 1
Suppose -113*z + 124*z + 664*z - 115616 = 1709584. Factor 140608/3*c + z*c**2 + 208/3*c**3 + 913952/3 + 2/3*c**4.
2*(c + 26)**4/3
Let w(m) be the third derivative of m**5/30 + 127*m**4/12 - 128*m**3/3 + 2*m**2 + 860. Factor w(y).
2*(y - 1)*(y + 128)
Let w(d) be the second derivative of 165*d - 5/3*d**3 + 15/2*d**2 - 25/12*d**4 + 0. Let w(i) = 0. What is i?
-1, 3/5
Let z be 30/(-3 + (-65)/((-1105)/204)). Factor -1/2*u**2 + 3*u - 1/12*u**3 - z.
-(u - 2)**2*(u + 10)/12
Let m = 293 - 288. Suppose -3 = -m*i + 3*n, 4*n = -4*i + 2*n - 2. Factor -1/7*h**2 + 0*h + 0 + 1/7*h**4 + i*h**3.
h**2*(h - 1)*(h + 1)/7
Let z(f) be the first derivative of -f**5/15 - 20*f**4/3 - 800*f**3/3 + 13*f**2/2 - 159. Let p(y) be the second derivative of z(y). Factor p(c).
-4*(c + 20)**2
Let l(v) be the second derivative of v**6/45 + v**5/6 - v**4/6 - 17*v**3/9 - 10*v**2/3 - 550*v. Factor l(h).
2*(h - 2)*(h + 1)**2*(h + 5)/3
Let -390127*b**2 - 5767947*b - b**4 - 1889677*b**2 - 2149156 + 124783*b**2 + 1466703*b - 2934*b**3 = 0. Calculate b.
-1466, -1
Find o, given that -4342*o - 21*o**2 + 32 + 10*o**3 + 4337*o - 5*o**5 + 15*o**4 - 17 - 9*o**2 = 0.
-1, 1, 3
Let v(a) be the first derivative of 9*a**5/10 + 21*a**4/4 - 115*a**3/2 + 39*a**2/2 + 108*a + 5529. Determine f so that v(f) = 0.
-9, -2/3, 1, 4
Let y = 1 - -5. Suppose y = -0*d + 3*d. Factor -165*s**4 - 4*s**2 + 4 + 163*s**4 + 10*s**d - 2*s**3 + 10*s.
-2*(s - 2)*(s + 1)**3
Suppose -81*r + 79*r = l - 15, r + 42 = 4*l. Solve 4*q**3 - 8/5 - 36/5*q**r + 28/5*q - 4/5*q**4 = 0.
1, 2
Let y(r) = 498*r + 191. Let a be y(22). Let h be a/1491 + (-1)/3. Factor -h + 20/7*c - 2/7*c**2.
-2*(c - 5)**2/7
Let h be (-16)/378*-3 + 2118/22239. Find t, given that -8/9*t + h*t**5 + 16/9*t**2 - 2/3*t**3 + 0 - 4/9*t**4 = 0.
-2, 0, 1, 2
Let o = 8 - 28. Let g(h) = h**2 - h - 1. Let s(t) = -3*t**2 + 16. Let w(f) = -20*g(f) - 5*s(f). Let y(c) = c - 1. Let r(a) = o*y(a) - w(a). Factor r(m).
5*(m - 4)**2
Solve -4*l**5 - 85/9*l**3 - 4/9*l - 56/3*l**4 + 43/9*l**2 + 0 = 0.
-4, -1, 0, 1/6
Let a(r) be the second derivative of 9*r + 245/6*r**3 - 12*r**2 + 1/12*r**5 + 0 + 35/12*r**4. Let o(k) be the first derivative of a(k). Let o(n) = 0. What is n?
-7
Suppose -3*x + 2*d = 9, 2*x - 798*d + 801*d = 33. Factor 5/6*s**4 - 1/3*s**2 - 7/6*s + 1/6*s**5 - 1/2 + s**x.
(s - 1)*(s + 1)**3*(s + 3)/6
Let f(t) = -26*t**3 + 301*t**2 - 809*t - 486. Let c(x) = 72*x**3 - 902*x**2 + 2428*x + 1457. Let l(o) = 6*c(o) + 17*f(o). Solve l(j) = 0.
-32, -1/2, 3
Let h = -48 - -50. Let b = 3532 + -28235/8. Factor -b*t**h + 3/2 + 9/2*t.
-3*(t - 2)*(7*t + 2)/8
Let z be (20 - 2208/112)*14. Let o(u) be the first derivative of 7 - 15*u + 4*u**3 + 3/5*u**5 + 9/2*u**z - 9*u**2. Factor o(n).
3*(n - 1)*(n + 1)**2*(n + 5)
Let 13736*g**3 - 292*g + 60*g**5 - 264*g - 174*g - 170*g - 1680*g**2 - 1808*g**4 = 0. What is g?
-1/5, 0, 1/3, 15
Let w be (27/18)/((-12)/(-8) + -1). Factor 14*l**2 + 3*l + 1321*l**w - 16*l - 1322*l**3.
-l*(l - 13)*(l - 1)
Let m(g) be the first derivative of g**6/105 - g**5/70 - g**4/42 + g**3/21 - 69*g - 37. Let a(r) be the first derivative of m(r). Solve a(l) = 0.
-1, 0, 1
Let c(k) be the third derivative of k**8/560 - 13*k**7/350 + 49*k**6/200 - 79*k**5/100 + 29*k**4/20 - 8*k**3/5 + 1578*k**2. Factor c(q).
3*(q - 8)*(q - 2)*(q - 1)**3/5
Let u(v) be the second derivative of 0*v**2 - 3/8*v**4 + 0 - 1/6*v**3 + v - 3/40*v**5 + 1/15*v**6. Suppose u(c) = 0. What is c?
-1, -1/4, 0, 2
Suppose -432 = 99*z - 3600. Let d(x) be the first derivative of x**4 - 4/3*x**3 + 0*x**2 + 0*x + z. Let d(q) = 0. What is q?
0, 1
Let p(v) = -3*v**2 + 15*v - 26. Let c(d) = -2127*d**2 - 9 + 2125*d**2 - 8 + 10*d. Let i(k) = -8*c(k) + 5*p(k). Factor i(o).
(o - 3)*(o - 2)
Let r be 3 + (1 - 1)/4 + 82. Let p = -70 + r. Determine g, given that -3*g**2 + 1 + 1 + p + 1 - 15*g = 0.
-6, 1
Factor -2/5*m**2 - 772/5*m - 154.
-2*(m + 1)*(m + 385)/5
Suppose 0 = -5*t, -665*f - 2*t = -660*f - 10. Let 6/5*i**4 - 32/5*i + 32/5*i**3 + 4/5*i**2 - f = 0. Calculate i.
-5, -1, -1/3, 1
Factor 18471/4*l + 99405/4 + 1/4*l**3 - 277/4*l**2.
(l - 141)**2*(l + 5)/4
Suppose 4*j - 89*g = -84*g - 7, 2*j + 8 = 4*g. Let x(h) be the second derivative of 1/2*h**4 + 0*h**j + 1/15*h**6 - 14*h + 2/5*h**5 + 0*h**3 + 0. Factor x(i).
2*i**2*(i + 1)*(i + 3)
Let p(k) be the third derivative of k**8/84 - 20*k**7/7 + 2151*k**6/10 - 4140*k**5 + 28566*k**4 + 3*k**2 + 15*k - 14. Solve p(a) = 0.
0, 6, 69
Solve 39 + 57*m - 9/4*m**2 = 0.
-2/3, 26
Let z(w) be the second derivative of w**5/20 + 14*w**4/3 - 115*w**3/6 + 29*w**2 - 84*w - 2. Factor z(i).
(i - 1)**2*(i + 58)
Suppose 8*g - 5*i - 1921 = 4*g, -3*g = -4*i - 1442. Factor 941*f + 243 - g*f + 3*f**2 - 521*f.
3*(f - 9)**2
Factor -61464*x**3 - x**4 + 61472*x**3 + 124*x**2 + 112*x - 3*x**4.
-4*x*(x - 7)*(x + 1)*(x + 4)
Suppose -235*u + 159 = -1016. Factor 77/6*f - u - 5/6*f**2.
-(f - 15)*(5*f - 2)/6
Let f(z) be the second derivative of z**7/24 + 3*z**6/5 + 47*z**5/20 + 101*z**4/24 + 31*z**3/8 + 7*z**2/4 - 274*z. Determine p, given that f(p) = 0.
-7, -1, -2/7
Let s = -10675 - -10677. What is r in 1/4*r**3 + r**s - 3/2 + 1/4*r = 0?
-3, -2, 1
Let t = 142 + -140. Factor -98782*n**t - 1 - 32*n**3 + 32*n + 98806*n**2 + 4*n**4 - 27.
4*(n - 7)*(n - 1)**2*(n + 1)
Let d(r) be the second derivative of -11/15*r**5 + 0 + 2/63*r**7 - 16*r**2 + 0*r**6 - 115*r + 56/9*r**3 + 2/3*r**4. Suppose d(h) = 0. Calculate h.
-3, -2, 1, 2
Let n be 80/(-88) + 3680/176. Let y(m) be the first derivative of -16 - 10*m**2 - 5/3*m**3 - n*m. Factor y(r).
-5*(r + 2)**2
Suppose r = -55 + 209. Let q be (-15)/10 + 319/r. Factor -q*s + 4/7*s**2 + 0.
4*s*(s - 1)/7
Let j = -84 + 111. Factor -27*l**3 + j*l**2 - 49 + 40 + 0*l**3 + 6*l**4 + 3*l.
3*(l 