/3 + 2*u**2 - 50*u. Let s(l) be the second derivative of h(l). Factor s(n).
-2*(n - 4)*(n + 2)/3
Determine j so that -62*j**2 - 4/17 + 1058/17*j = 0.
2/527, 1
Let o = -845 + 848. Suppose -423*a**3 + 332*a**2 + 212*a**4 + 228*a**4 - 3 - 13 - 601*a**o + 268*a**3 = 0. What is a?
-2/11, 2/5, 1/2, 1
Let s = 341/678 - 1/339. Suppose 5*a = 4*h - 23, -2*h = -5*h + 3*a + 18. Factor h*c + s*c**2 + 49/2.
(c + 7)**2/2
Let r = 373 + -344. Let n be (((-9)/(-2))/(-3))/(r/(-29)). Factor -n*w - 1/2*w**2 - 1.
-(w + 1)*(w + 2)/2
Let l = 358 - 58. Let p be l/(-60) - 37/(-5). Factor -p - 4/5*a**2 - 16/5*a.
-4*(a + 1)*(a + 3)/5
Let w = 6037 + -90589/15. Let f = w + 293/30. Factor -45/2 + 25/2*c**2 + 5/2*c**3 + f*c.
5*(c - 1)*(c + 3)**2/2
Let n be (-2)/3 - 21/(189/(-60)). Let d be (n + -3)*(-13)/((-702)/8). Determine r, given that 0 + 142/9*r**4 + 40/3*r**3 + 56/9*r**5 + d*r + 38/9*r**2 = 0.
-1, -2/7, -1/4, 0
Let q(l) = 2807*l + 216142. Let b be q(-77). Solve 2/5*u**b - 2*u + 6/5 + 2/5*u**2 = 0.
-3, 1
Let g(d) = 2*d**3 - 14*d**2 + 2*d - 12. Let o be g(7). Let -m**4 + 607*m - 607*m + o*m**3 - m**5 = 0. Calculate m.
-2, 0, 1
Let x(k) = -13*k - 75. Let m be x(-6). Factor 4 + n**3 + 3*n**4 + 2 - m*n - 9*n**2 - 3*n**3 + 5*n**3.
3*(n - 1)**2*(n + 1)*(n + 2)
Let r(t) be the first derivative of -t**5/40 + 49*t**4/16 + 51*t**3/2 + 155*t**2/2 + 104*t + 2214. Let r(y) = 0. What is y?
-2, 104
Let g = -600910/7 + 87490. Factor 3317760/7*l + 2/7*l**5 + g*l**3 + 240/7*l**4 + 15925248/7 + 276480/7*l**2.
2*(l + 24)**5/7
Let z(a) be the second derivative of -a**5/4 - 275*a**4/12 + 430*a**3/3 - 290*a**2 + 2354*a. Let z(j) = 0. Calculate j.
-58, 1, 2
Let i(f) = -6*f + 61. Let v be i(12). Let j(p) = -10*p**2 - 8*p + 6. Let r(g) = -31*g**2 - 25*g + 17. Let z(n) = v*j(n) + 4*r(n). Factor z(x).
-2*(x + 1)*(7*x - 1)
Let n(m) = 18*m**2 - 338*m - 354. Let b(w) = 44*w**2 - 669*w - 708. Let y(x) = 2*b(x) - 5*n(x). Factor y(g).
-2*(g - 177)*(g + 1)
Let j = -171990 - -171992. Suppose 0 - 1/7*t**3 + 1/7*t**4 + 0*t - 2/7*t**j = 0. Calculate t.
-1, 0, 2
Let f(m) be the second derivative of -5*m + 18*m**3 - 1/6*m**4 - 729*m**2 + 0. Let f(u) = 0. Calculate u.
27
Suppose 2*q = 225*f - 223*f - 24, -12 = -4*f + q. Factor 1/7*b**3 + f + 2/7*b**2 - 3/7*b.
b*(b - 1)*(b + 3)/7
Let l(o) be the first derivative of -o**3/6 - 267*o**2 - 142578*o - 584. Factor l(x).
-(x + 534)**2/2
Let w(x) = -52 + 35 - 2*x - 2*x**3 + 13*x**2 + 4*x + 8*x. Let l be w(7). Factor 2*p**4 + 5*p**4 + 7*p**4 - 18*p**l + 8*p**2 - 4.
-4*(p - 1)**2*(p + 1)**2
Let u(c) be the second derivative of -c + 1/120*c**5 + 156 + 0*c**3 + 1/24*c**4 - 1/3*c**2. Suppose u(o) = 0. What is o?
-2, 1
Let y = -265 + 264. Let k(w) = -w - 1. Let s(v) = 3*v**2 - 7*v - 10. Let p(r) = y*s(r) - 5*k(r). Let p(h) = 0. Calculate h.
-1, 5
Let i be 6690/25*10/45*-5. Let g = 299 + i. Factor 5*y + 0 + g*y**2.
5*y*(y + 3)/3
Suppose 0 = 5*o + 3*u + 144 + 348, u = -o - 100. Let h be (7/(-56) - 44/o) + 1. Determine r so that -8 + 0*r**2 - 28/3*r + h*r**3 = 0.
-2, -1, 3
Let k(p) be the first derivative of p**5/130 - 7*p**3/39 + 6*p**2/13 - 49*p - 11. Let q(m) be the first derivative of k(m). Determine n so that q(n) = 0.
-3, 1, 2
Let m = -766118/3 - -255382. Solve -2/3*o**2 + m - 26/3*o = 0 for o.
-14, 1
Find v, given that -236*v - 118354 - 2/17*v**2 = 0.
-1003
Let h(r) be the first derivative of r**4 + 42*r**2 + 32/3*r**3 + 18 + 72*r. Factor h(q).
4*(q + 2)*(q + 3)**2
Let c(z) be the second derivative of 20*z**2 - 4*z**3 - 19 - 2*z + 1/6*z**4. Factor c(y).
2*(y - 10)*(y - 2)
Let s be (-579)/(-54) + -4 + (-136)/(-36). Let f(r) be the second derivative of -13/2*r**3 + 22*r + 0 - 5/4*r**4 + 3/20*r**5 - s*r**2. Factor f(q).
3*(q - 7)*(q + 1)**2
Suppose -412*p = -3235 + 1999. Factor -5/2*g**2 + 9/2*g**p + 0 - 2*g**4 + 0*g.
-g**2*(g - 1)*(4*g - 5)/2
Let l(g) be the third derivative of 77*g**6/300 - g**5/75 + g**2 - g + 63. Suppose l(b) = 0. Calculate b.
0, 2/77
Let v(n) be the third derivative of n**8/1176 + 22*n**7/35 + 2541*n**6/20 - 11*n**2 + 24*n. Solve v(y) = 0 for y.
-231, 0
Let v(f) be the third derivative of -f**5/270 - 167*f**4/27 - 111556*f**3/27 + 547*f**2. Factor v(d).
-2*(d + 334)**2/9
Let a(j) be the third derivative of -203*j**5/120 + j**4/24 - 30*j**2 - 30. Suppose a(y) = 0. Calculate y.
0, 2/203
Let o(r) be the third derivative of r**8/1008 - 194*r**7/315 + 16*r**6/15 + 583*r**5/90 - 1937*r**4/72 + 43*r**3 - 4689*r**2. Factor o(k).
(k - 387)*(k - 1)**3*(k + 2)/3
Let y(k) be the third derivative of k**7/525 + 19*k**6/300 + 17*k**5/50 + 49*k**4/60 + 16*k**3/15 - 675*k**2. Solve y(d) = 0 for d.
-16, -1
Let y(t) be the second derivative of -t**5/90 - 17*t**4/9 + 140*t**3/9 - 424*t**2/9 - t - 1852. Solve y(h) = 0.
-106, 2
Let d be (-27)/(-10) + 99/330. Factor 2*f**4 + 1/2*f**5 + 0 + 3/2*f**d - 2*f**2 - 2*f.
f*(f - 1)*(f + 1)*(f + 2)**2/2
Factor -3/2 - r**3 - r + 7/2*r**2.
-(r - 3)*(r - 1)*(2*r + 1)/2
Factor -78594219/7 - 26991954/7*q - 1/7*q**4 - 267300/7*q**2 - 894/7*q**3.
-(q + 3)*(q + 297)**3/7
Let 14576*d**2 - 56*d**4 - 14732*d**2 - 64*d**3 - 48*d + 8*d - 116*d**3 = 0. Calculate d.
-2, -5/7, -1/2, 0
Let y(o) = -9*o**4 + o**3 - 1. Let q(l) = -190*l**4 - 640*l**3 - 1535*l**2 - 845*l + 75. Let s(p) = -q(p) + 15*y(p). Let s(i) = 0. What is i?
-9, -2, -1, 1/11
Let b(t) = -t**4 - t**3 + t + 1. Let n(k) = 4*k**2 - 12*k**4 - 91 + 26*k**3 - 2*k + 26*k**4 + 97. Let y(r) = -6*b(r) + n(r). Factor y(a).
4*a*(a + 1)**2*(5*a - 2)
Let k(o) be the third derivative of 1/15*o**7 + 13/30*o**5 + 0*o**3 + 1/2*o**4 - 13/30*o**6 + 58*o**2 + 0 + 0*o. Factor k(x).
2*x*(x - 3)*(x - 1)*(7*x + 2)
Let a(p) = 4*p**2 + p. Let s be a(1). Find v, given that 15*v**3 - 5*v**4 + 10*v**2 + 2*v - 17*v - s*v**2 = 0.
-1, 0, 1, 3
Let z(j) be the second derivative of 7*j + 1/36*j**4 - 1 - 11/6*j**2 + 5/9*j**3. Solve z(k) = 0.
-11, 1
Let y be (-5)/(-17)*(50 + (-3224)/65). Solve 0 - y*n + 6/17*n**2 + 2/17*n**4 - 6/17*n**3 = 0 for n.
0, 1
Let t = 13908 - 13902. Let c(g) be the second derivative of 0*g**2 - 2/9*g**4 - 1/90*g**t + 10*g - 1/12*g**5 - 2/9*g**3 + 0. Let c(b) = 0. What is b?
-2, -1, 0
Let i(d) be the second derivative of -d**4/24 - 77*d**3/6 - 76*d**2 - 900*d. Factor i(l).
-(l + 2)*(l + 152)/2
Let t = 36684/55 - 667. Let b = 103/385 - t. Find a, given that -2/7 - 8/7*a**3 - 8/7*a - 12/7*a**2 - b*a**4 = 0.
-1
Suppose 13*c - 3260 = 3*c. Let h be 3/(1 - -11) + c/8. Factor 10*z**4 - 57*z**5 + 4*z**3 + 2*z**4 + h*z**5.
-4*z**3*(z - 1)*(4*z + 1)
Let h(f) = 7*f - f + 10 - 7*f. Let g be h(8). Find q such that -20*q**3 - 20*q + 30*q**g + 5 + 4*q**4 + q**4 + 0*q**3 = 0.
1
Let w(y) = -y - 6. Let r be w(8). Let c = r + 16. Factor -6*p**c - 7*p**4 + 2*p**4 - 9*p**3 + 2*p**4.
-3*p**2*(p + 1)*(p + 2)
Factor 4/9*k - 344/3 + 344/3*k**2 - 4/9*k**3.
-4*(k - 258)*(k - 1)*(k + 1)/9
Let -13*g**3 + 7*g**3 - 34 - 36*g**2 + 136*g + 2*g**3 - 62 + 0*g**2 = 0. Calculate g.
-12, 1, 2
Factor -146 - 86*x - 283*x**2 + 315*x**2 + 86 - 390*x.
4*(x - 15)*(8*x + 1)
Factor -24/5*r + 0 + 9/5*r**3 - 3/5*r**4 + 18/5*r**2.
-3*r*(r - 4)*(r - 1)*(r + 2)/5
Let j(p) = -p**3 - 3*p**3 + 10*p**3 - 4 + 285*p + 28*p**2 - 215*p. Let u(w) = 7*w**3 + 27*w**2 + 68*w - 5. Let z(y) = 5*j(y) - 4*u(y). Factor z(g).
2*g*(g + 3)*(g + 13)
Let j(d) be the second derivative of d**6/210 + 2*d**5/35 + 2*d**4/21 - 16*d**3/21 - 24*d**2/7 - 52*d + 4. Find h, given that j(h) = 0.
-6, -2, 2
Suppose b - 65*b + 192 = 0. Find f such that -2/7*f**4 + 6/7*f**b + 12/7 + 6/7*f**2 - 22/7*f = 0.
-2, 1, 3
Let y(j) be the first derivative of -j**6/9 + 346*j**5/15 + 349*j**4/6 + 350*j**3/9 + 989. Suppose y(h) = 0. What is h?
-1, 0, 175
Find x such that 3*x**2 - 34*x**2 - 15*x**2 - x**3 - 144 - 188*x - x**3 = 0.
-18, -4, -1
Let d(s) = 2*s**2 + s - 2. Let k(c) = -3*c**2 + 422*c - 840. Let t(x) = -2*d(x) - 2*k(x). Factor t(z).
2*(z - 421)*(z - 2)
Let a(d) be the second derivative of d**5/150 + 2*d**4/15 - 133*d**3/45 + 4*d - 33. Factor a(r).
2*r*(r - 7)*(r + 19)/15
Let f(i) be the third derivative of -i**6/72 + 21*i**3/2 - 16*i**2 - i. Let v(p) be the first derivative of f(p). Factor v(a).
-5*a**2
Let x(g) be the second derivative of -g**4/6 + 2075*g**3/21 + 1188*g**2/7 - g + 2565. Factor x(j).
-2*(j - 297)*(7*j + 4)/7
Let v(n) be the third derivative of n**6/40 - 2*n**5 - 221