e second derivative of t(p). Factor m(i).
-4*(i - 4)**2
Let m = -967/4440 + 48/185. Let o(f) be the first derivative of 9/8*f**2 + 0*f + f**3 - 1/5*f**5 - 1/8*f**4 + m*f**6 + 10. Suppose o(c) = 0. Calculate c.
-1, 0, 3
Let k(s) = -9*s**2 + 302*s - 548. Let g(p) = 2*p**2 + p - 15. Let m(t) = -4*g(t) - k(t). Factor m(l).
(l - 304)*(l - 2)
Let x(v) be the second derivative of -5*v**4/12 - 75*v**3 - 2*v + 1224. Factor x(a).
-5*a*(a + 90)
Let r = -1173 - -1196. Suppose -5*y = -5*k, -19*y + r*y = 2*k. Suppose k - o - 1/3*o**2 = 0. Calculate o.
-3, 0
Suppose -6*y - 9*y = 11*y + y. Let m(g) be the first derivative of y*g + 1/3*g**4 - 2/3*g**2 + 0*g**3 + 5. Solve m(h) = 0.
-1, 0, 1
Suppose 2*q + 0*k = 5*k + 22, -2*k = -4*q + 28. Find n such that -108*n**2 + 37*n + 52*n**3 + 2 + 23*n - q = 0.
1/13, 1
Let x(d) be the third derivative of -d**7/280 + 7*d**5/40 + 3*d**4/4 + 34*d**3/3 - 69*d**2. Let t(r) be the first derivative of x(r). Solve t(u) = 0.
-2, -1, 3
Let n(w) be the first derivative of 605/3*w**3 - 72 + 550*w**2 + 500*w. Factor n(t).
5*(11*t + 10)**2
What is i in -330*i**2 - 326 + 169*i**2 + 357*i + 163*i**2 - 32*i - i = 0?
-163, 1
Suppose -2*d = 4 - 8. Suppose -6*m + m + 9 = -d*t, 5*t = -m + 18. Determine h, given that 8 + 4*h + 38*h**2 - 4*h**m - 26*h**2 - 20 = 0.
-1, 1, 3
Let b(y) be the first derivative of -565*y**3/3 - 4515*y**2 + 160*y + 2246. Factor b(h).
-5*(h + 16)*(113*h - 2)
Let a(s) be the first derivative of 2/3*s**4 - 20 + 1/15*s**5 + 2*s**3 + 0*s - 7*s**2. Let b(t) be the second derivative of a(t). Let b(c) = 0. What is c?
-3, -1
Let h(s) be the first derivative of s**5/60 - 89*s**4/36 + 215*s**3/2 + 675*s**2/2 - 14*s - 77. Let w(t) be the first derivative of h(t). Factor w(n).
(n - 45)**2*(n + 1)/3
Let o(h) be the first derivative of 8*h**3/3 + 77*h**2/2 - 30*h - 10771. Factor o(s).
(s + 10)*(8*s - 3)
Factor 0*o**2 + 0 - 16/3*o**4 + 64/3*o**3 + 0*o + 1/3*o**5.
o**3*(o - 8)**2/3
Let l(i) = 5*i**4 - 18*i**3 - 395*i**2 - 1752*i - 1344. Let x(b) = -6*b**4 + 20*b**3 + 394*b**2 + 1752*b + 1336. Let t(p) = -4*l(p) - 3*x(p). Factor t(m).
-2*(m - 19)*(m + 1)*(m + 6)**2
Let o(d) = 4*d**2 - 43*d - 38. Let y(r) = -6*r**2 + 44*r + 38. Let j = -199 + 202. Let c(m) = j*y(m) + 4*o(m). Factor c(h).
-2*(h + 1)*(h + 19)
Let n(r) be the third derivative of r**7/504 + r**6/216 - r**5/36 + 35*r**3/3 - 2*r**2. Let h(v) be the first derivative of n(v). Factor h(p).
5*p*(p - 1)*(p + 2)/3
Let l(q) be the third derivative of -63*q**7/10 - 133*q**6/2 - 18239*q**5/90 - 95*q**4/6 - q**3/2 - 1323*q**2 + 2. Solve l(w) = 0.
-3, -1/63
Let p = -14/3 - -76/15. Let t be (1 - 1032/18)/(24/(-432)*15). Find z such that -52/5*z - t - p*z**2 = 0.
-13
Let l(x) be the first derivative of 2*x**6/15 + x**5/2 + x**4/2 + 23*x + 151. Let g(d) be the first derivative of l(d). Solve g(j) = 0.
-3/2, -1, 0
Suppose -7*o + 558 + 1668 = 0. Suppose 0 = -4*i + o + 466. Factor 3 + i*x**4 - 2*x**2 - 195*x**4 - 2.
(x - 1)**2*(x + 1)**2
Let w = 273 - 271. Factor -5*t**w - 7*t + 2 - 7*t + 15*t + 2*t**3.
(t - 2)*(t - 1)*(2*t + 1)
Let m(y) be the third derivative of 0*y - 4*y**2 + 2 - 1/6*y**4 - 1/630*y**7 - 13/180*y**5 - 1/60*y**6 - 2/9*y**3. Suppose m(k) = 0. Calculate k.
-2, -1
Let u(s) be the third derivative of s**6/450 + s**5/25 + 4*s**4/15 - 95*s**3/6 - 75*s**2. Let d(i) be the first derivative of u(i). What is z in d(z) = 0?
-4, -2
Let v(m) be the second derivative of 0 + 15/4*m**2 - 1/32*m**4 - 89*m + 1/2*m**3. Determine n, given that v(n) = 0.
-2, 10
Let q(t) be the second derivative of -38*t**6/15 + 777*t**5/5 - 2806*t**4/3 + 1672*t**3 + 592*t**2 + 2655*t. Let q(s) = 0. What is s?
-2/19, 2, 37
Let m be 1/(-2) - (-10 + 60/8). Determine n so that 100 + 345*n - 41*n**3 + 77*n**m - 257*n**2 - 270 + 46*n**3 = 0.
1, 34
Let j(x) be the second derivative of 7*x**5/5 - 12*x**4 + 88*x**3/3 - 3081*x + 1. Factor j(w).
4*w*(w - 2)*(7*w - 22)
Let w = -93323 + 466631/5. Find c, given that 2/5*c**2 - 12/5*c + w = 0.
2, 4
Suppose -12966*p**2 + 3012*p**3 - 9600 - 255/2*p**4 + 3/2*p**5 + 19680*p = 0. What is p?
1, 2, 40
Let h(b) be the third derivative of b**7/945 - 61*b**6/540 - 397*b**5/270 - 335*b**4/108 + 158*b**2 - 2*b - 14. Find y, given that h(y) = 0.
-5, -1, 0, 67
Let j(g) be the third derivative of g**7/350 + 7*g**6/100 + 11*g**5/100 - 13*g**4/20 + 456*g**2. Factor j(b).
3*b*(b - 1)*(b + 2)*(b + 13)/5
What is d in -3*d**4 + 2 - 174*d**2 - 11658*d**2 - 363*d**3 + 1 - 3 - 50460*d = 0?
-58, -5, 0
Let o be 18/(-24) + 22/8. Factor -10*d**4 - 24*d**o - 30*d**2 - 26*d**3 + 2*d + 36*d**2 + 4.
-2*(d + 1)**3*(5*d - 2)
Let x(n) be the first derivative of -1/4*n**3 - 9*n + 91 + 21/8*n**2. Find y such that x(y) = 0.
3, 4
Determine a so that 225622/5*a**2 + 454104/5*a - 952/5*a**3 + 227529/5 + 1/5*a**4 = 0.
-1, 477
Let w(i) be the second derivative of 8*i**3/3 - 63*i**2 + 651*i. Let q be w(8). Factor -4*b + 2/3*b**q + 0.
2*b*(b - 6)/3
Let p be (-462)/(-130) + (-867)/255. Factor -p*v**2 + 58/13*v + 0.
-2*v*(v - 29)/13
Let t(r) be the third derivative of r**7/105 + 67*r**6/60 + 21*r**5/5 - 67*r**4/3 - 520*r**3/3 + 363*r**2. Factor t(h).
2*(h - 2)*(h + 2)**2*(h + 65)
Suppose -2*z = -6*z + 56. Suppose 2*x + z - 4 = 3*p, 0 = -4*x - 20. Determine m, given that 6*m + 6*m**3 + 9*m + 5 + 15*m**2 + p*m**3 - m**3 = 0.
-1
Let f = -3764599/8 - -470575. Determine s, given that 5832 + 27/2*s**2 - f*s**3 - 486*s = 0.
36
Let y be 75/30 + 18/12. Suppose 2*i - c - 6 = 0, -3 = -i - c + y*c. Solve v**2 - 1/2*v**i + 1/2*v - 1 = 0.
-1, 1, 2
Let y = -1590 + 1592. Suppose a + a - 3*f = 6, f + y = 3*a. Factor 0*o**2 + 2/11*o**5 + 0 + a*o + 0*o**4 - 2/11*o**3.
2*o**3*(o - 1)*(o + 1)/11
Let v(x) = -x - 19. Let y be (-261)/12 - (3 - 22/8). Let w be v(y). Factor 5*k**4 - 7*k**4 - 2*k**4 + 4*k**2 + 15*k**w - 14*k**3 - k.
-k*(k - 1)*(k + 1)*(4*k - 1)
Let f = 103 - 101. Factor 10*y + 12 + 5*y - 13*y - 2*y**f.
-2*(y - 3)*(y + 2)
Let v(h) = -2*h**4 - h**3 - h**2 + 10*h + 1. Let m(s) = -11*s**4 - 170*s**3 - 169*s**2 + 50*s + 5. Let j(q) = m(q) - 5*v(q). Factor j(y).
-y**2*(y + 1)*(y + 164)
Let q(l) be the second derivative of l**5/25 + 247*l**4/15 + 2050*l**3 + 30258*l**2/5 - 897*l. Factor q(p).
4*(p + 1)*(p + 123)**2/5
Let w = 92 + 41. Let j = -265/2 + w. Factor -y**3 - 1/2*y**2 - j*y**4 + 0 + 0*y.
-y**2*(y + 1)**2/2
Suppose -38*r - 197 + 1413 = 0. Let u(o) be the first derivative of -8*o**2 - 1/2*o**4 - r*o + 14/3*o**3 + 27. Factor u(n).
-2*(n - 4)**2*(n + 1)
Suppose 5*n = 4*d + 153, -2*d + n - 4*n = 93. Let h = d + 48. Factor -2*b**2 + 4*b**4 - b**4 - h*b**3 - b**3 + 6*b**3.
b**2*(b - 1)*(3*b + 2)
Let m(d) be the third derivative of -363/8*d**4 + 1331*d**3 - 2*d**2 + 33/40*d**5 - 1/160*d**6 - 4*d + 0. Solve m(v) = 0 for v.
22
Let x be (-3)/24*((-2432)/80 - (-56)/140). Factor 1/4*t**2 - x*t - 4.
(t - 16)*(t + 1)/4
Let h = 9614 - 9603. Let l(q) be the second derivative of 1/45*q**5 + 0*q**3 + 2/135*q**6 + 0 + 0*q**4 + h*q + 0*q**2. Factor l(j).
4*j**3*(j + 1)/9
Let t(r) be the third derivative of -r**6/120 - r**5/12 - 5*r**4/24 - r**3/3 - 5*r**2 - 7. Let m be t(-4). Factor 1/3*v**4 - 1 - 8/3*v - 2*v**m + 0*v**3.
(v - 3)*(v + 1)**3/3
Let s(t) be the first derivative of -t**4/18 - 58*t**3 - 50960*t**2/3 + 307328*t/9 - 472. Suppose s(b) = 0. What is b?
-392, 1
Find p such that 123*p - 239*p**3 - 1665/4*p**2 - 1 = 0.
-2, 2/239, 1/4
Let a(o) be the third derivative of -o**7/280 - 9*o**6/160 - 13*o**5/80 + 9*o**4/32 + 7*o**3/4 + 20*o**2 - 352*o. Solve a(p) = 0.
-7, -2, -1, 1
Let m(x) be the first derivative of 62 + 18*x + 16/9*x**6 + 304/15*x**5 + 505/6*x**4 + 146*x**3 + 81*x**2. Suppose m(f) = 0. Calculate f.
-3, -1/4
Let j(i) be the first derivative of 4*i**5/25 + 512*i**4/5 + 131072*i**3/5 + 16777216*i**2/5 + 1073741824*i/5 + 1425. What is v in j(v) = 0?
-128
Let y(d) be the third derivative of -d**5/540 - 475*d**4/54 - 451250*d**3/27 + 8041*d**2. Factor y(j).
-(j + 950)**2/9
Let n(z) = -16*z - 22. Let h be n(-1). Let r(p) = 24*p**2 - 28*p - 13. Let x(i) = -11*i**2 + 14*i + 7. Let v(s) = h*r(s) - 13*x(s). What is g in v(g) = 0?
-13, -1
Let b(j) be the first derivative of -j**5/50 - 3*j**4/10 - 8*j**3/5 - 4*j**2 - 41*j + 52. Let i(s) be the first derivative of b(s). Factor i(k).
-2*(k + 2)**2*(k + 5)/5
Suppose t - 13 = -5*z + 2*t, -8 = -4*t