 Factor q(z).
-(z + 53)**2
Let y(f) be the second derivative of 7*f**5/80 - 13*f**4/24 - 23*f**3/6 - 3*f**2 + 8209*f. Find c such that y(c) = 0.
-2, -2/7, 6
Let n = 1345/4 + -336. Let f(y) be the first derivative of -n*y**2 - 11/12*y**3 + 0*y + 11. Factor f(w).
-w*(11*w + 2)/4
Let a(k) be the second derivative of k**6/50 - 9*k**5/20 + 33*k**4/10 - 8*k**3 + 260*k - 2. Suppose a(o) = 0. Calculate o.
0, 2, 5, 8
Let o(c) = -9*c**3 - 304*c**2 - 522*c + 2240. Let g(r) = -200*r**3 - 6695*r**2 - 11485*r + 49280. Let h(a) = 2*g(a) - 45*o(a). Suppose h(s) = 0. Calculate s.
-56, -4, 2
Suppose 0 = 3*j - 3*l - 15, 3*l = -2*j - 2*l - 11. Let c be 25/3 + (-20)/(-30) + -1. Factor 4 - c*g**2 + 4*g**2 - 2*g**3 + j*g**3 - 4*g + 4*g**3.
4*(g - 1)**2*(g + 1)
Suppose 0 = -l + 5*i - 8, -5*l = -3*l - 13*i + 40. Let -l + 7/4*g**3 + 55/2*g**2 + 104*g = 0. Calculate g.
-8, 2/7
Let j(r) be the third derivative of r**7/1050 + r**6/450 - 17*r**5/150 + r**4/2 + 17*r**3/2 + 44*r**2. Let o(t) be the first derivative of j(t). Factor o(b).
4*(b - 3)*(b - 1)*(b + 5)/5
Let m(k) be the third derivative of k**5/100 + 7*k**4/8 - 20*k**3 + 3*k**2 - 238. Factor m(l).
3*(l - 5)*(l + 40)/5
Suppose 399*k = -5*k + 835 - 344 + 721. Factor -1/5*h**k - 4 + 2/5*h**2 + 19/5*h.
-(h - 5)*(h - 1)*(h + 4)/5
Let q(f) be the third derivative of 4*f**2 + 1/72*f**6 - 1/630*f**7 + 7/72*f**4 - 1/9*f**3 + 0 - 4*f - 1/20*f**5. Factor q(y).
-(y - 2)*(y - 1)**3/3
Suppose 7354 = 2*c - 1352. Let -c - 3*b**2 + 822 - 338 - 1423 - 252*b = 0. Calculate b.
-42
Let i(w) be the second derivative of w**5/4 - 35*w**4/6 - 85*w**3/6 + 75*w**2 + 476*w. Factor i(o).
5*(o - 15)*(o - 1)*(o + 2)
Let t(r) be the second derivative of r**6/360 + r**5/30 + r**4/8 - 4*r**3/3 + r**2 - 2*r. Let l(o) be the second derivative of t(o). Factor l(g).
(g + 1)*(g + 3)
Let c = -624 - -626. Let x be (-1)/c*(-17 - -17). Factor -6/17*v**4 - 6/17*v**3 + x + 0*v - 2/17*v**2 - 2/17*v**5.
-2*v**2*(v + 1)**3/17
Let j = 96817 - 871351/9. Factor -2*r**5 - 44/9*r**3 - j*r - 16/3*r**4 + 0 - 16/9*r**2.
-2*r*(r + 1)**2*(3*r + 1)**2/9
Let z be (-26)/65 + 24/10. Suppose z = -0*j + j. Factor 23*y**4 - 40*y - 7*y**4 - 8*y**2 - 20 + 10*y**3 - 7*y**j - 11*y**4.
5*(y - 2)*(y + 1)**2*(y + 2)
Let o(k) = k**2 + 3*k + 8. Let d(p) = p**2 + 3*p + 11. Let x(y) = 4*d(y) - 5*o(y). Solve x(w) = 0.
-4, 1
Let b(r) be the second derivative of -r**7/14 + r**6/10 + 27*r**5/10 - 7*r**4 - 28*r**3 + 144*r**2 - 71*r - 5. Find c such that b(c) = 0.
-4, -2, 2, 3
Find x such that -4*x**5 + 97*x**2 - 3556*x**4 - 248*x**3 + 27*x**2 + 48*x - 3606*x**4 + 7241*x**4 + x**2 = 0.
-1/4, 0, 1, 3, 16
Let g(u) = 98 - 180*u + 46*u**2 + 0*u**2 - 26 + 62*u**2. Let h(q) = -324*q**2 + 540*q - 217. Let v(m) = -8*g(m) - 3*h(m). Factor v(s).
3*(6*s - 5)**2
Let u(n) = -n**2 - 2*n - 24. Let i be u(0). Let l = -21 - i. Let -3*z**4 - 4*z**l + 6*z + 14*z**5 + 3*z**2 - 11*z**5 - 5*z**3 = 0. Calculate z.
-1, 0, 1, 2
Let f(g) be the third derivative of -g**7/315 + 43*g**6/6 + 646*g**5/15 + 1939*g**4/18 + 431*g**3/3 - 3*g**2 - g + 21. Factor f(l).
-2*(l - 1293)*(l + 1)**3/3
Let n(i) be the third derivative of -i**6/120 + i**5/3 + i**4/24 - 10*i**3/3 + i**2 + 129. Let n(p) = 0. What is p?
-1, 1, 20
Let b(g) be the first derivative of 1/120*g**6 + 3/20*g**5 + 0*g**2 + 5 - 32/3*g**3 - 7/8*g**4 + 0*g. Let o(r) be the third derivative of b(r). Factor o(a).
3*(a - 1)*(a + 7)
Let y(c) = 32*c**3 - 2*c**2 - 2*c + 3. Let j be y(1). Solve -45*v**3 + j + 46 - 37 - 220*v + 190*v**2 = 0 for v.
2/9, 2
Suppose 44*y - 99*y = -52*y - 15. Let q(f) be the first derivative of -2*f**2 + 0*f + 4/5*f**5 + 4*f**3 - y - 3*f**4. Suppose q(c) = 0. What is c?
0, 1
Let v = 75 - -53. Factor -17*d - d**2 + 54 + 44 - v.
-(d + 2)*(d + 15)
Let j(v) be the first derivative of -v**3/3 - 7*v**2/2 - 8*v + 13. Let x be j(-5). Factor 72*u + 2*u**3 + 3*u**2 - 25*u**2 + 0*u**2 - x*u**2.
2*u*(u - 6)**2
Let b(y) be the third derivative of 0 + 8/3*y**3 + 162*y**2 - 1/5*y**5 + 47/12*y**4 + 0*y. Find r such that b(r) = 0.
-1/6, 8
Let o(g) = -23*g + 117. Suppose 32*c - 145 = 3*c. Let p be o(c). Let 4/3*y**p - 2*y - 4/3 = 0. Calculate y.
-1/2, 2
Suppose -5*a + 4*n + 411 = 0, -27*n = -2*a - 29*n + 150. Factor -4*t - 128*t**2 - 7*t**3 + a*t**2 + 65*t**2.
-t*(t - 2)*(7*t - 2)
Let o(k) be the second derivative of -k**4/4 - 197*k**3/3 - 131*k**2/2 - 2*k + 1299. Find j, given that o(j) = 0.
-131, -1/3
Let k(w) be the third derivative of -7*w**5/8 - 103*w**4/8 + 6*w**3 + 7035*w**2. Factor k(t).
-3*(t + 6)*(35*t - 4)/2
Find u, given that 0 + 19*u - 1/3*u**2 = 0.
0, 57
Let t = 224 - 222. Suppose 4*h + 2*i = 4, 5 = t*h - 3*i - 5. Solve -2/5*q**h + 2/5*q**3 - 4/5*q + 0 = 0.
-1, 0, 2
Let m = 37 - 14. Suppose 21*h = m*h - 6. Factor -2/3 + 1/3*f + 2/3*f**2 - 1/3*f**h.
-(f - 2)*(f - 1)*(f + 1)/3
Let m(p) be the second derivative of p**4/66 - 10*p**3/11 + 77*p + 2. Find o, given that m(o) = 0.
0, 30
Let t(r) be the first derivative of 2*r**5/5 + 191*r**4/22 + 1060*r**3/33 + 168*r**2/11 - 6323. Let t(z) = 0. What is z?
-14, -3, -4/11, 0
Factor 0 - 21/2*v**4 - 38*v**2 + 39*v**3 + 1/4*v**5 + 0*v.
v**2*(v - 38)*(v - 2)**2/4
Let a be (-7 + (-117)/(-18))/((-2)/96). Let d be 243/a - 6 - 4. Factor -1/4*l**3 + 1/8*l**4 - d*l**2 + 0 + 1/4*l.
l*(l - 2)*(l - 1)*(l + 1)/8
Let j(s) be the third derivative of s**5/240 + 41*s**4/48 + 30*s**3 - 546*s**2 - 2*s + 1. Factor j(d).
(d + 10)*(d + 72)/4
Let d = -54 - -56. Suppose 0 = -v - 2*v + 6. Let 5*f**3 - v*f**d - 3 + 2*f**2 + 13 - 15*f = 0. What is f?
-2, 1
Let o(a) = -37*a**3 + 80*a**2 + 99*a + 33. Let c(j) = 12*j**3 - 27*j**2 - 33*j - 12. Let p(z) = -17*c(z) - 6*o(z). Factor p(b).
3*(b - 2)*(b + 1)*(6*b - 1)
Let k be 21/7*(-5*1 - 9424/(-1860)). Factor 2/5*w + k*w**2 + 0.
w*(w + 2)/5
Let g(d) = 4*d**2 - 4*d - 5. Let k be g(3). Suppose 17 = 2*h - 3*a, -h + a + k = h. Determine t so that 11*t**3 - 2*t**4 - 18*t**3 - t + h*t**3 = 0.
-1/2, 0, 1
Suppose 0 - 120 = -5*b. Factor -b*k + 21*k**2 - 14*k**2 - 4*k**2.
3*k*(k - 8)
Let o(b) be the second derivative of 122*b + 13/14*b**3 + 0 - 1/28*b**4 + 0*b**2. Let o(r) = 0. Calculate r.
0, 13
Determine z so that 4992*z + 5120 - 156/5*z**3 + 5764/5*z**2 + 1/5*z**4 = 0.
-2, 80
Let u = 1453/6 + -653/3. Let g = 185 - 369/2. Factor -u + 7*a - g*a**2.
-(a - 7)**2/2
Let y(o) be the first derivative of -1/2*o**2 - 3/2*o - 53 - 1/24*o**3. Factor y(x).
-(x + 2)*(x + 6)/8
Let o be (-128)/10 + 2 + (-21)/105. Let k be ((-495)/(-21))/o - -9. Determine g so that -4/7*g**2 - k*g - 144/7 = 0.
-6
Let i(q) be the second derivative of -29/8*q**4 - q - 1 + 9/80*q**5 - 5/2*q**2 - 119/24*q**3. Factor i(p).
(p - 20)*(3*p + 1)**2/4
Let z(g) be the third derivative of 0*g**4 - 67*g**2 + 0 - 1/2*g**5 + 5/336*g**8 + 0*g**3 + 0*g - 10/63*g**7 + 13/24*g**6. What is f in z(f) = 0?
0, 2/3, 3
Let x be (-14)/(1190/(-3349)) + -37. Factor 2/5*b**2 + 2/5*b**4 + 0 - 8/5*b**3 + x*b.
2*b*(b - 3)*(b - 2)*(b + 1)/5
Let p = 646852 + -4527959/7. Factor 6/7*c**2 + 1/7*c**3 + 0 + p*c.
c*(c + 1)*(c + 5)/7
Find q such that -6*q**4 + 8/3*q + 38/3*q**3 + 136/9*q**2 + 0 = 0.
-2/3, -2/9, 0, 3
Let l = -374365/4 - -93592. Factor 1/4*a**3 - 5/4*a**2 + 7/4*a - l.
(a - 3)*(a - 1)**2/4
Let p(m) = -5*m**2 + 10*m + 38. Let z(w) = 9*w**2 - 19*w - 21 + 2*w**2 - 56. Let l(o) = -5*p(o) - 2*z(o). Suppose l(f) = 0. What is f?
-2, 6
Suppose -21 + 201 = 18*c. Determine g so that 124*g**2 - 60*g**2 - 63*g**2 + 3*g - c = 0.
-5, 2
Factor -20*f**2 + 1/3*f**4 + 59/3 - 58/3*f**3 + 58/3*f.
(f - 59)*(f - 1)*(f + 1)**2/3
Let u(k) be the third derivative of -105*k**2 + 0*k - 6250/3*k**3 + 1 + 125/6*k**4 - 1/12*k**5. What is y in u(y) = 0?
50
Let t(v) be the third derivative of -4*v**4 - 11/2*v**3 - 1/5*v**6 + 1/70*v**7 - 29*v**2 + 0 + 0*v - 3/2*v**5. Factor t(q).
3*(q - 11)*(q + 1)**3
Let x be 716/70 - (-770)/550*20/(-35). Factor x*t + 0 + 9*t**2 - 3/7*t**3.
-3*t*(t - 22)*(t + 1)/7
Find r, given that 0 + 252/5*r**2 + 2/5*r**3 - 254/5*r = 0.
-127, 0, 1
Suppose 3*g + 188 = 38. Let t be (g/15 + 3)*1*-15. Determine m, given that 32*m**2 - 60*m**3 - 4*m + 64*m**t - 75 + 75 - 32*m**4 = 0.
-1, 0, 1/4, 1
Let f(h) be the first derivative of h**4/18 + 598*h**3/27 + 589*h**2/3 + 586*h + 748. Factor f(i).
2*(i + 3)**2*(i + 293)/9
Factor 46/11*t - 252/11 - 2/11*t**2.
-2*(t - 14)*(t - 9)/1