0. Calculate m.
-14
Let i(b) be the first derivative of -b**3/3 + 46*b**2 - 2338. Factor i(a).
-a*(a - 92)
Let y(o) = o**2 + o - 1. Let x(s) = 7*s - 9. Let h(n) = 4*n - 4. Let r(b) = 7*h(b) - 3*x(b). Let l(v) = -5*r(v) + 5*y(v). Factor l(g).
5*g*(g - 6)
Let y(j) = 3*j**3 + 3*j**2 - 3*j + 21. Suppose -4*f = -8*f - 4. Let t(h) = 2*h + 4*h - 5*h + 0 + 1. Let c(o) = f*y(o) + 12*t(o). Solve c(z) = 0 for z.
-3, 1
Let s be 612/(-5)*(-132)/(-81224). Let u = 1/923 - s. Factor -1/5*d - 1/5 + u*d**3 + 1/5*d**2.
(d - 1)*(d + 1)**2/5
Let b(f) be the third derivative of 6*f**7/35 + 113*f**6/5 + 217*f**5/15 - 302*f**4/3 - 200*f**3 + 6*f**2 + 4*f - 4. Let b(g) = 0. Calculate g.
-75, -2/3, 1
Let m(k) be the first derivative of 5*k**4/4 + 40*k**3/3 - 525*k**2/2 + 639. Factor m(h).
5*h*(h - 7)*(h + 15)
Let v(c) = -5*c**2 + 120*c - 211. Let q(m) = 10*m**2 - 240*m + 419. Let f be 3/12 + 377/(-52). Let s(a) = f*v(a) - 3*q(a). Factor s(t).
5*(t - 22)*(t - 2)
Let f(g) = 2*g**2 - 5*g - 19. Let w(k) = -23*k + 463. Let b be w(20). Let u(h) = 16*h + 44 - 5*h**2 - 5 - 7*h. Let c(n) = b*u(n) + 7*f(n). Solve c(o) = 0.
-4
Factor -2/3*x**2 + 30*x - 328/3.
-2*(x - 41)*(x - 4)/3
Let s be -2*37*777/222. Let t be 71/35 - (-370)/s. Solve -2/5 - 1/5*x - 1/5*x**4 + t*x**2 + 1/5*x**3 = 0.
-1, 1, 2
Determine f so that -3/8*f**2 - 6194907/2 + 4311/2*f = 0.
2874
Let c(l) be the second derivative of -1/48*l**5 + 5/32*l**4 + 0 + 5/6*l**3 + 10*l - 4*l**2. Let n(s) be the first derivative of c(s). Solve n(v) = 0 for v.
-1, 4
Let h(q) = -84*q**3 - 831*q**2 + 861*q + 9. Let m(c) = 19*c**3 + 208*c**2 - 215*c - 2. Let g(i) = 2*h(i) + 9*m(i). Factor g(o).
3*o*(o - 1)*(o + 71)
Let b(i) = 19026*i + 627860. Let p be b(-33). Factor -1/3*d**5 + 3*d**p + 0*d + 7/3*d**4 + 17/3*d**3 + 0.
-d**2*(d - 9)*(d + 1)**2/3
Let r(j) be the third derivative of -j**8/14 + 2*j**7/21 + 11*j**6/6 + 5*j**5 + 35*j**4/6 + 8*j**3/3 - 231*j**2. Let r(f) = 0. What is f?
-1, -1/6, 4
Let g(a) be the third derivative of -a**5/30 - 13*a**4/3 + 53*a**3/3 - 217*a**2. Factor g(c).
-2*(c - 1)*(c + 53)
Let n be ((-99)/(-165))/(81/2520)*18/147. What is b in -48/7*b + n + 4/7*b**4 - 24/7*b**3 + 52/7*b**2 = 0?
1, 2
Let w(y) = 5*y**3 + 95*y**2 + 2299*y + 2209. Let t(q) = -11*q**3 - 190*q**2 - 4597*q - 4418. Let x(v) = -4*t(v) - 9*w(v). Factor x(g).
-(g + 1)*(g + 47)**2
Let x = 261 - 241. Factor 17 - 9*a - 3*a - x*a**2 + 19 + a**3 - 5*a**3.
-4*(a - 1)*(a + 3)**2
Let f be 6/9*2*3. Let g(v) = -v**4 + v**3 - v**2 - v + 2. Let n(z) = -9*z**4 + 54*z**3 - 164*z**2 + 156*z + 8. Let r(d) = f*g(d) - n(d). Factor r(y).
5*y*(y - 4)**2*(y - 2)
Suppose 0 = l - 2*l. Factor l*j**4 + j**4 - 6*j**2 - 15*j**3 + 10*j**3.
j**2*(j - 6)*(j + 1)
Let r(x) = 5*x**3 - 21*x**2 - 114*x - 76. Let a(v) = -37*v**2 - 22*v**3 + 101*v**2 + 341*v + 7*v**3 + 229. Let s(l) = -4*a(l) - 11*r(l). Solve s(t) = 0 for t.
-2, -1, 8
Let n = -78 + 157/2. Let l = -191/2 + 96. Factor n*u**4 - 1 + 3/2*u + l*u**2 - 3/2*u**3.
(u - 2)*(u - 1)**2*(u + 1)/2
Suppose -13*p + 25 = -8*p. Let a be p - -228 - (7 - 0 - 3). Determine l so that -3*l**2 - a + 36*l - 8 + 129 = 0.
6
Let c be (-4)/(-22) - (-119)/11. Suppose c + 3 + 5*q**2 + 235*q - 4 - 220*q = 0. What is q?
-2, -1
Let m(n) be the second derivative of 65*n**4/9 + 646*n**3/9 - 20*n**2/3 + 2416*n. Let m(h) = 0. Calculate h.
-5, 2/65
Let w(y) be the first derivative of -y**4/16 - 7*y**3/2 + 11*y**2 - 367. Factor w(q).
-q*(q - 2)*(q + 44)/4
Let s(i) be the second derivative of -5*i**2 + 1/2*i**4 + 97*i + 1/2*i**3 + 1/20*i**5 + 0. Let s(b) = 0. Calculate b.
-5, -2, 1
Let w(d) be the first derivative of 2*d**3/27 + 284*d**2/9 + 376*d/3 - 1854. Suppose w(b) = 0. What is b?
-282, -2
Let t(m) be the second derivative of m**5/10 - 105*m**4 + 44100*m**3 - 9261000*m**2 - 2164*m. Factor t(x).
2*(x - 210)**3
Let f(q) be the second derivative of q**6/100 + 4831*q**5/200 + 389137*q**4/24 + 129605*q**3/12 - 11033*q. Factor f(h).
h*(h + 805)**2*(3*h + 1)/10
Let u be 20/5*(-10807)/(-5656) - (-2)/(-42)*3. Solve 14*j - 3*j**3 - u*j**2 + 5/2*j**4 - 6 = 0.
-2, 1, 6/5
Let i be (-2)/42*-7545 + -7. Let f = i - 352. Let -f*v**4 + 0 + 2/7*v**2 + 2/7*v**5 + 0*v - 2/7*v**3 = 0. Calculate v.
-1, 0, 1
Factor -88/3*y - 152 - 2/3*y**2.
-2*(y + 6)*(y + 38)/3
Let f be 468*320/73840 - (-6)/(-213). Let -2/11*n**f + 64/11 + 8/11*n = 0. Calculate n.
-4, 8
Let u(d) be the second derivative of d**6/60 - 4*d**5/15 + 5*d**4/4 - 21*d**2/2 - 5*d + 20. Let n(l) be the first derivative of u(l). What is p in n(p) = 0?
0, 3, 5
Let f(u) be the first derivative of 1/3*u**3 + 131 + 37/2*u**2 + 0*u. Factor f(q).
q*(q + 37)
Factor 121 - u**3 + 6538*u**2 + 121*u - 3248*u**2 - 3291*u**2.
-(u - 11)*(u + 1)*(u + 11)
Let v(t) be the first derivative of 134/9*t**3 + 28/9*t + 365/18*t**4 + 10/9*t**5 + 85 - 125/9*t**2. Solve v(l) = 0.
-14, -1, 1/5
Let u be 900/240*(2 - 18/15). Determine h, given that -12*h - 13/4*h**2 - 9 - 1/4*h**u = 0.
-6, -1
Let a be (-70)/(-280)*6*2. Let g(f) be the first derivative of 1/8*f**4 - 1/4*f**2 - 1/4*f**a + 2 + 0*f. Let g(n) = 0. What is n?
-1/2, 0, 2
Let m(h) = -19*h**4 + 35*h**3 + 113*h**2 - 11*h + 11. Let t(v) = -7*v**4 + 11*v**3 + 38*v**2 - 4*v + 4. Let r(n) = 4*m(n) - 11*t(n). Solve r(u) = 0 for u.
-17, -2, 0
Suppose 2*c = z + 4, -3*c = 4*z + 8 - 36. Let b(n) = -10*n**2 - 320*n - 6403. Let g(y) = 12*y**2 + 320*y + 6404. Let h(d) = z*b(d) + 3*g(d). Factor h(m).
-4*(m + 40)**2
Let h = -1910659 - -1650809809/864. Let r = h - 1/864. Factor 0 - 3/2*i**2 + 1/2*i**5 + 3/2*i**4 + r*i**3 - i.
i*(i - 1)*(i + 1)**2*(i + 2)/2
Let w be 1 - 1/1 - (-40 + (-16269)/(-408)). Factor -3/2*n**2 - 6*n - 8 - w*n**3.
-(n + 4)**3/8
Let a(i) = 5*i + 27. Let o be a(7). Suppose -o*y = -36*y. Factor 4*m**4 + 12/5*m**2 + 0*m + 28/5*m**3 + y + 4/5*m**5.
4*m**2*(m + 1)**2*(m + 3)/5
Solve -15*n**2 - 4838*n**3 + 4798*n**3 + 2*n**4 - 27*n**2 = 0.
-1, 0, 21
Let n(r) be the first derivative of 26*r**2 - 120*r - 4/3*r**3 - 188. Factor n(d).
-4*(d - 10)*(d - 3)
Let w = 168073/52 - 12925/4. Determine i so that w + 2/13*i - 2/13*i**2 = 0.
-2, 3
Let f(j) = 6*j - 57. Let a be f(10). Let q be (-2)/a + 726/198. Solve 12/7 - 2*k**q + 34/7*k**2 - 34/7*k + 2/7*k**4 = 0.
1, 2, 3
Let a(k) be the third derivative of -k**9/9072 + k**7/840 + k**6/540 - 20*k**3/3 - 95*k**2. Let p(h) be the first derivative of a(h). Factor p(s).
-s**2*(s - 2)*(s + 1)**2/3
Let n(f) be the first derivative of -5/16*f**4 + 70 - 10*f + 5/2*f**2 + 5/6*f**3. Find w, given that n(w) = 0.
-2, 2
Let b be (-1830)/225 + 2/15 - -12. Let m(f) be the first derivative of 0*f - 7 + 2/3*f**2 + 2/3*f**3 + 1/6*f**b. Factor m(l).
2*l*(l + 1)*(l + 2)/3
Let c be (5151/(-68))/((-12)/32). Find b, given that -10 + b - 9 - 179 - 3*b**2 - c*b = 0.
-66, -1
Let s be 22/55 - 26/(-10). Find i such that 89*i - 24*i - 2*i**3 + 21 - 26*i - i**s + 15*i**2 = 0.
-1, 7
Suppose 3*o + 3*u = -o + 17, 3*o + u - 9 = 0. Suppose 0 = -4*w + 2*s, -3*s + 4 = -o*s. What is a in -4*a + 4*a**w - 4*a**4 + 0*a**2 + 52*a**3 - 48*a**3 = 0?
-1, 0, 1
Suppose 2 = 2*g + 2*l, -g - 3*l = -4*g + 33. Suppose -2*t + g + 0 = 0. Suppose -56*d**3 - 18*d**2 - 4*d + 5*d - 12*d**4 + 83*d**t + 2*d = 0. What is d?
0, 1/4, 1
Let r(n) be the third derivative of n**6/120 - 11*n**5/45 - 17*n**4/18 + 32*n**3/9 - 11547*n**2. Solve r(f) = 0.
-2, 2/3, 16
Let f(w) be the third derivative of w**5/180 + 97*w**4/18 + 43*w**3/2 + 2*w**2 + 41*w + 4. Let f(q) = 0. What is q?
-387, -1
Let z = -763 - -802. Let -33*y**4 - 1442*y**3 - z*y**4 - 10189*y**2 - 1345 + 23*y**4 + 6180*y + 445 = 0. Calculate y.
-15, 2/7
Let t = -322 + 337. Find h such that -60*h**2 + 24*h**4 - 23*h**3 - 38*h**3 - 14*h**4 - t*h**4 - 4*h**3 = 0.
-12, -1, 0
Let t = -12536/399 - -2198/57. Determine c so that t*c - 12/7 + 18/7*c**2 = 0.
-3, 2/9
Suppose 22 = 2*f - 9*p + 5*p, -f = -3*p - 16. Factor 7*l**5 + 4*l**3 + l**3 - 3*l**3 - f + 2*l**2 - 8*l**5 - l**4 - l.
-(l - 1)**2*(l + 1)**3
Let r(w) be the first derivative of 4/5*w**5 + 8*w**4 + 88/3*w**3 + 48*w**2 + 176 + 36*w. Factor r(s).
4*(s + 1)**2*(s + 3)**2
Let f(b) be the third derivative of 1/48*b**6 + 0*b + 0*b**3 + 1/60*b**5 - 201*b**2 + 0 - 1/2*b**4 - 1/420*b**7. Factor f(n).
-n*(n - 4)*(n - 3)*(n + 2)/2
Let -86/5*w**3 + 2/5*w**4 - 4232/5 + 774/5*w**2 + 3542/5*w = 0. Calculate w.
-4, 1, 23
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