.
-(g - 1)**2*(g + 1)**3/4
Let n(d) be the second derivative of -d**6/360 + d**5/30 - d**4/6 + 5*d**3/6 - 5*d**2/2 - 9*d - 5. Let y(t) be the second derivative of n(t). Factor y(l).
-(l - 2)**2
Factor 29*x - 1/4*x**2 + 117/4.
-(x - 117)*(x + 1)/4
Suppose 0 = -z + 4*i + 6, i - 1 = 283*z - 284*z. Let a(d) be the second derivative of 0 + 1/42*d**3 + 0*d**4 + 0*d**2 - 1/140*d**5 + z*d. Factor a(w).
-w*(w - 1)*(w + 1)/7
Let j = 5 + -3. Let g = 1302 + -1300. Find m, given that 1 - m**j - 82 - g*m - 11*m - 5*m = 0.
-9
Let g be 7 - ((-5)/30)/(2/(-60)). Let d = 0 + 1. Find m, given that 3 + g*m + 1 - d + 1 - 6*m**2 = 0.
-2/3, 1
Suppose 29*n = 20*n + 27. Let -14*f + 48*f**4 + 5*f**3 + n*f**5 + 7*f**5 - 8 + 10*f**5 - 40*f**2 - 22*f + 11*f**3 = 0. Calculate f.
-1, -2/5, 1
Let g(u) be the third derivative of u**7/560 - 3*u**5/80 - u**4/8 - 26*u**3/3 + 43*u**2. Let q(o) be the first derivative of g(o). What is i in q(i) = 0?
-1, 2
Suppose 3*i + 244 = 2*b - 224, b + i = 229. Let j = -229 + b. What is d in -3/7*d**j + 9/7*d + 12/7 = 0?
-1, 4
Let g(d) be the third derivative of 0 - 23/70*d**7 + 3673/240*d**5 - 1/168*d**8 - 31*d**2 + 27/2*d**3 - 159/8*d**4 + 0*d - 361/80*d**6. What is m in g(m) = 0?
-18, 1/2
Suppose 29*b - 18*b - 3311 = 0. Determine p, given that 70*p + b*p**2 + 297*p**2 - 593*p**2 = 0.
-14, 0
Let x be -4 + 8/(-1) + 160. Suppose c - x = -146. What is l in -1/2*l**3 - 1/2*l**c + 3*l + 0 = 0?
-3, 0, 2
Suppose -3*t - 9 = -g, 20*g - 18*g + 4*t - 18 = 0. Factor -24*q**2 + 0*q**3 - 329*q**4 - 9*q**3 + 335*q**4 - g*q.
3*q*(q - 3)*(q + 1)*(2*q + 1)
Let f(l) be the first derivative of 8*l - 1/3*l**3 - 90 - l**2. Factor f(v).
-(v - 2)*(v + 4)
Let z(w) be the second derivative of w**4/60 + 6*w**3 + 179*w**2/10 + 150*w + 3. Find f, given that z(f) = 0.
-179, -1
Let q = 404 + -373. Factor q*p + 7*p - 3 - 6*p - 27 - 2*p**2.
-2*(p - 15)*(p - 1)
Let b = -99 - -145. Let 52*l**3 + 24*l**2 + 20*l**4 - 46*l + b*l = 0. Calculate l.
-2, -3/5, 0
Let s(j) be the first derivative of -1/20*j**4 + 9/5*j**2 - 24 - 1/10*j**3 - 30*j. Let f(v) be the first derivative of s(v). Solve f(i) = 0 for i.
-3, 2
Let p(v) be the second derivative of 5*v**4/12 - 2045*v**3/6 + 1020*v**2 + v - 362. Factor p(f).
5*(f - 408)*(f - 1)
Factor -20965/3*v - 13970/3 - 5*v**2.
-5*(v + 1397)*(3*v + 2)/3
Suppose 5*c = -4*i + 85, 3*i + c - 30 = 4*c. Solve 5 - 21 - 5*r - 3 - r**2 - i*r = 0.
-19, -1
Suppose -3*t + 12 = 0, 5*t = -3*x + 2*x + 25. Suppose -14 = -4*p - u, 9 = 3*p + x*u - 10. Solve 0 + 14 + 178*n + p*n**2 - 2 - 193*n = 0 for n.
1, 4
Let d(v) be the first derivative of v**4/4 + 2*v**3/3 + 260. Factor d(a).
a**2*(a + 2)
Let w(c) be the third derivative of 2*c**7/105 - 4*c**6/3 - 28*c**5/5 + 307*c**2. Determine o, given that w(o) = 0.
-2, 0, 42
Find o such that 1023/2*o - 303*o**2 - 9945/8*o**3 - 357*o**4 - 147/8*o**5 - 90 = 0.
-15, -4, -1, 2/7
Let b be 3 - (50/5)/(-20). Let v(a) be the first derivative of -3 + 2*a + 16/3*a**3 + 6/5*a**5 + 9/2*a**2 + b*a**4 + 1/6*a**6. Suppose v(q) = 0. Calculate q.
-2, -1
Let v(x) = x**3 - 15*x**2 + 25*x - 15. Let w(l) = 5*l**3 - 75*l**2 + 124*l - 76. Let y be (-2)/4 - (-3 - (-36)/8). Let m(a) = y*w(a) + 11*v(a). Factor m(p).
(p - 13)*(p - 1)**2
Let h(p) = -p**2 - p**2 + 14 - 2*p**2 - 16*p. Let f(k) = -9*k**2 - 33*k + 27. Let i = -993 + 989. Let q(v) = i*f(v) + 10*h(v). What is c in q(c) = 0?
-8, 1
Let u(x) = 79*x**3 - 39*x**2 + 170*x - 213. Let w(i) = -26*i**3 + 2*i**2 - 1. Let n(s) = u(s) + 3*w(s). Let n(p) = 0. What is p?
2, 4, 27
Let n(q) = 4*q - 24. Let k be n(9). Let m(u) be the first derivative of -u**4 + 297*u - k - 4*u**3 - 297*u - 4*u**2. Solve m(z) = 0 for z.
-2, -1, 0
Let k(z) be the first derivative of -2*z**3/69 - 32*z**2/23 - 440*z/23 + 512. Factor k(t).
-2*(t + 10)*(t + 22)/23
Let r(y) be the first derivative of 8*y**4/7 + 226*y**3/21 + 199*y**2/7 + 24*y/7 - 6190. Find w such that r(w) = 0.
-4, -3, -1/16
Let u = -74897 - -74899. Factor -1/3*a**u + 0 - 11/3*a.
-a*(a + 11)/3
Let x(s) = -3*s**3 + 141*s**2 + 23*s - 116. Let j(y) = -8*y**3 + 352*y**2 + 56*y - 292. Let k(b) = 5*j(b) - 12*x(b). Suppose k(n) = 0. Calculate n.
-1, 1, 17
Let q(l) be the second derivative of l**5/80 - 29*l**4/48 + 73*l**3/12 - 23*l**2 + 103*l - 44. Solve q(u) = 0 for u.
2, 4, 23
Determine l, given that -4788/5*l**3 - 1016339184/5*l + 3820824/5*l**2 + 0 + 2/5*l**4 = 0.
0, 798
Suppose 19*y - 26 = 6*y. Determine n, given that 0*n**2 - 142*n - 2 + 4*n**y - 10 + 152*n - 2*n**2 = 0.
-6, 1
Suppose 6*y - 9 = -3*r, y - 3 = 2*y + 2*r. Let i(g) be the third derivative of 1/20*g**5 - 8/3*g**y + 0*g**4 + 26*g**2 + 0*g + 0 - 1/240*g**6. Factor i(d).
-(d - 4)**2*(d + 2)/2
Let g(m) be the third derivative of -m**5/330 - 17*m**4/132 + 200*m**3/33 + 2*m**2 + 6581*m. Factor g(a).
-2*(a - 8)*(a + 25)/11
Suppose p = 4*c + 915, 4*p + 710 = -203*c + 200*c. Let i = c + 233. Find r such that -4/5*r + 1/5*r**i - 3/5*r**2 + 0 = 0.
-1, 0, 4
Factor -95*y**2 - 106*y**2 - 27*y - 107*y**2 - 54 + 3*y**3 + 314*y**2.
3*(y - 3)*(y + 2)*(y + 3)
Let y(a) be the first derivative of a**4/9 + 4*a**3/3 - 14*a**2/3 - 45*a + 166. Let s(f) be the first derivative of y(f). Let s(v) = 0. Calculate v.
-7, 1
Factor -804*r + 70805*r**2 - 609*r + 20 - 560*r - 91*r - 316*r.
5*(119*r - 2)**2
Let w = 15 - 13. Let -25*i - 42*i**3 + 7*i**3 - 681*i**2 + 626*i**w - 5*i**4 = 0. Calculate i.
-5, -1, 0
Let z(l) = 123*l**3 - l**2. Let v be z(-2). Let s = 990 + v. What is q in -2/5*q**3 - 8/5*q**s - 4/5 - 2*q = 0?
-2, -1
Factor -13260*o**2 - 4200*o**3 - 7389/2*o - 270.
-3*(7*o + 20)*(20*o + 3)**2/2
Let a(y) be the second derivative of -3*y**5/20 - 18*y**4 + 2*y**3 + 432*y**2 + 254*y + 1. Factor a(i).
-3*(i - 2)*(i + 2)*(i + 72)
Let t = 779 + -315. Let g = -5100/11 + t. Find h such that -2/11*h + g - 6/11*h**2 + 2/11*h**3 + 2/11*h**4 = 0.
-2, -1, 1
Let u(s) = -14*s**2 - 5*s**2 - 10*s**2 + 16*s. Let j = -53 - -46. Let k(r) = 10*r**2 - 5*r. Let v(q) = j*k(q) - 2*u(q). Factor v(f).
-3*f*(4*f - 1)
Suppose 83 = -2*k - 113. Let s = k + 221. Factor -87*r + 120*r + 17 + s*r + 507*r**2 - 5.
3*(13*r + 2)**2
Let x(j) be the second derivative of 7*j**5/20 + 61*j**4/4 + 13*j**3/3 + j**2 - 2*j + 39. Let f be x(-26). Suppose 8/7*b - 1/7*b**f + 9/7 = 0. Calculate b.
-1, 9
Suppose 12*t - 16*t = -20. Find d such that -15*d**2 - 5*d**3 + 40*d**2 - 5*d**4 + t*d - 20*d**2 = 0.
-1, 0, 1
Determine h, given that -93*h + 28657*h**2 - 23*h + 39 - 28660*h**2 = 0.
-39, 1/3
Let j(p) = p**2 - 9303 + 9303. Let w(s) = -9*s**2 - 56*s. Let t(r) = 5*j(r) + w(r). What is d in t(d) = 0?
-14, 0
Let n(a) be the first derivative of -a**6/240 + 11*a**5/120 - 2*a**4/3 + 7*a**3/3 - a**2 - 4*a + 63. Let i(z) be the second derivative of n(z). Factor i(y).
-(y - 7)*(y - 2)**2/2
Let u(t) = 29*t**2 - 9707*t + 19162. Let o(q) = -5*q**2 + 1619*q - 3194. Let x(d) = 34*o(d) + 6*u(d). Factor x(p).
4*(p - 797)*(p - 2)
Let q(z) = z**2 - 13*z + 24. Let o be q(11). Find x such that -5*x**o - 30*x - 64 + 26 - 2 = 0.
-4, -2
Factor 392/9 - 2/9*a**2 - 10*a.
-2*(a - 4)*(a + 49)/9
Suppose t - 3*o - 26 = 0, -6*t - 7 = -2*o - 35. Factor 1/5*m**5 + 1/5*m**4 + 0 + 0*m**t - 6/5*m**3 + 0*m.
m**3*(m - 2)*(m + 3)/5
Let b be 183/45 - (0 + 5/75). Let x(c) be the first derivative of 0*c**2 + 1/3*c**3 + 1/20*c**b + 0*c - 2. Factor x(a).
a**2*(a + 5)/5
Let n be (-204)/(-9) + 64/48. Factor n*w - 146*w**2 + 141*w**2 + 11*w - 60.
-5*(w - 4)*(w - 3)
Determine k, given that 713*k**2 - 433*k**2 + 1904*k - 284*k**2 + 1908 = 0.
-1, 477
Factor 79 - 57*i**2 + 14*i**2 + 102*i + 23*i**2 + 20 + 23*i**2.
3*(i + 1)*(i + 33)
Factor 128383*c**3 + 128386*c**3 + 213*c**2 - 256768*c**3.
c**2*(c + 213)
Let a(t) = 3*t**2 - 14*t - 4. Let q(n) be the first derivative of 10*n**3/3 - 21*n**2 - 14*n - 3. Let v(r) = -14*a(r) + 4*q(r). Factor v(o).
-2*o*(o - 14)
Factor -3*u**4 + 45*u**2 - 19*u - 46*u**2 + 16*u - 3*u + 4*u**3 + 2*u**4.
-u*(u - 3)*(u - 2)*(u + 1)
Let y(t) be the second derivative of -2 + t**3 - 49*t - 1/4*t**4 + 105/2*t**2. Factor y(r).
-3*(r - 7)*(r + 5)
Let p(o) be the second derivative of o**6/40 + 51*o**5/80 + 43*o**4/16 - 441*o**3/8 - 1215*o**2/2 + 1101*o. Factor p(v).
3*(v - 5)*(v + 4)*(v + 9)**2/4
Factor -1706*d - 1339407 + 4754*d + 52793*d**2 - 52795*d**2 + 178119.
-2*(d - 762)**2
Let p(g) be the first deriv