of n**6/12 - 29*n**5/12 - 5*n**4/12 + 145*n**3/6 - 2*n**2 + 100. Factor d(k).
5*(k - 1)*(k + 1)*(2*k - 29)
Suppose -1154*m - 34 = -1171*m. Let l(i) be the second derivative of -7/3*i**3 + 0 - i**m - 4/5*i**5 - 7/3*i**4 + 24*i. Let l(g) = 0. Calculate g.
-1, -1/2, -1/4
Let c be 2 - -1 - (-77)/(-7) - -3. Let z be (5 - (c - -12))*-1. Factor 9*b**2 - 6*b**2 + 0*b**z - 4*b**2 + b**4.
b**2*(b - 1)*(b + 1)
Let b be ((1 + -7 - -5)*236/413)/(3/(-14)). Solve b*k**4 + 2/3*k - 2/3*k**5 - 20/3*k**2 + 4 + 0*k**3 = 0 for k.
-1, 1, 2, 3
Suppose -2138*i + 5797 - 1521 = 0. Factor 1/3*x**i + 2/3*x - 1.
(x - 1)*(x + 3)/3
Suppose 0 = -v + 5 - 1. Suppose 8*t = v*t + 8. Solve -10*y**4 - 10*y**t + 2*y - 5*y**3 - 2*y + 15*y**4 = 0 for y.
-1, 0, 2
Let o(f) be the third derivative of 4/3*f**4 - 1 - 7/15*f**5 + 0*f - 2*f**3 + 1/15*f**6 + 4*f**2. Factor o(n).
4*(n - 1)**2*(2*n - 3)
Factor -2 - 70*i**3 + 3*i**2 + 30*i**3 - 3*i + 3 + 39*i**3 + 0*i**2.
-(i - 1)**3
Let n(i) be the first derivative of -i**5/25 + i**4/20 + i**3 + 23*i**2/10 + 2*i - 1236. Factor n(z).
-(z - 5)*(z + 1)**2*(z + 2)/5
Let f be (2/16)/(99/66). Let a(b) be the third derivative of f*b**4 - 1/15*b**5 - 9*b**2 + 0*b + 2/3*b**3 - 1/60*b**6 + 0. Factor a(z).
-2*(z - 1)*(z + 1)*(z + 2)
Let b be 3 + 4 + (-51375)/6300 + (-8)/(-6). Let h(n) be the first derivative of -1/2*n**2 - b*n**4 - 1/35*n**5 - 3/7*n**3 - 19 - 2/7*n. Factor h(o).
-(o + 1)**3*(o + 2)/7
Let m(g) be the first derivative of -4*g**3/15 + 38*g**2/5 - 136*g/5 + 1877. Factor m(y).
-4*(y - 17)*(y - 2)/5
Let u(r) be the second derivative of -4*r**7/315 - 17*r**6/225 + 4*r**5/75 + 5*r**4/6 + 2*r**3/5 - 51*r - 52. Find t, given that u(t) = 0.
-3, -1/4, 0, 2
Let b(j) be the first derivative of j**8/2800 - 3*j**7/1400 + j**6/300 - 68*j**3/3 - 22. Let g(n) be the third derivative of b(n). Factor g(m).
3*m**2*(m - 2)*(m - 1)/5
Let r(n) be the third derivative of 83/75*n**5 + 1/525*n**7 + 20*n - 22/5*n**4 + 121/15*n**3 - 2/25*n**6 + 0 + 5*n**2. Factor r(c).
2*(c - 11)**2*(c - 1)**2/5
Let s = -2523 + 4788. Factor -4526*x**3 - 15*x + s*x**3 + 0*x**2 + 21*x**2 - 225 + 2264*x**3.
3*(x - 3)*(x + 5)**2
Let l be ((-18)/21)/(-3) - 3630/(-35). Factor 61*o - 97*o - l*o - 64 - o**4 + 10*o**3 - 132 + 3*o**2.
-(o - 7)**2*(o + 2)**2
Let y(r) be the second derivative of 108*r + 0*r**3 + 1/48*r**4 + 0*r**2 + 0. Factor y(u).
u**2/4
Let t(b) be the second derivative of 2 + 68/9*b**3 + 1/45*b**6 + 11/30*b**5 + 72*b + 40/3*b**2 + 7/3*b**4. Factor t(z).
2*(z + 2)**3*(z + 5)/3
Let p be (-2)/(-3 + 1)*(-302 - -309). What is d in 19*d**5 - 13*d**5 + 3*d**2 + p*d**3 - 3*d**4 - 13*d**3 = 0?
-1, 0, 1/2, 1
Let v(q) be the second derivative of q**4/3 - 196*q**3/3 + 194*q**2 + 26*q + 16. Factor v(u).
4*(u - 97)*(u - 1)
Let t(p) be the third derivative of -p**6/420 - 45*p**5/14 - 50625*p**4/28 - 3796875*p**3/7 - 4*p**2 - 2*p + 146. Let t(v) = 0. What is v?
-225
Let y(f) be the second derivative of -f**5/80 + 27*f**4/16 - 13*f**3 + 77*f**2/2 - 262*f - 13. Factor y(a).
-(a - 77)*(a - 2)**2/4
Let s(f) = 28*f**3 + 1250*f**2 + 3801*f + 2503. Let v(c) = 6*c**3 + 250*c**2 + 760*c + 500. Let i(q) = 4*s(q) - 19*v(q). Factor i(r).
-2*(r - 128)*(r + 1)*(r + 2)
Let b be (3 - (-60)/(-21))/(2/(-16 - -24)). Find r, given that -4/7*r**3 - b + 4/7*r + 4/7*r**2 = 0.
-1, 1
Factor 3682/11*t**2 - 1696480/11*t + 1692800/11 - 2/11*t**3.
-2*(t - 920)**2*(t - 1)/11
Let c(x) = 3*x**2 - 6*x + 6*x**3 - 6*x**2 + 14 - x**4 - 10. Let s(h) = -1 + 4*h**3 - 4*h**3 + h**4 + 0*h**4. Let g(m) = c(m) + 4*s(m). Factor g(i).
3*i*(i - 1)*(i + 1)*(i + 2)
Suppose 11845/2*x + 1/2*x**3 + 112*x**2 - 39675 = 0. Calculate x.
-115, 6
Let g(s) = -1 - 4 + 8 - 48*s + 5*s**3 - 5 + 109*s**2. Let b(o) = -20*o**3 - 434*o**2 + 193*o + 9. Let p(x) = 2*b(x) + 9*g(x). Solve p(i) = 0 for i.
-23, 0, 2/5
Let b(p) be the second derivative of p**7/840 - p**6/120 - 17*p**4/12 - p**3/6 - 100*p. Let r(m) be the third derivative of b(m). Factor r(a).
3*a*(a - 2)
Let u be ((-4)/(-6))/(2528/18960). Let z be ((-2)/1)/((-10)/24). Let -12/5*i**4 - 26/5*i**3 - 2/5*i**u + 0 - 8/5*i - z*i**2 = 0. What is i?
-2, -1, 0
Let y(j) be the third derivative of j**7/1260 - j**6/36 + 17*j**5/360 + 19*j**4/72 + 6*j**2 - 15. Factor y(a).
a*(a - 19)*(a - 2)*(a + 1)/6
Let z(n) be the second derivative of n**4/6 + 152*n**3/3 + 151*n**2 + 9323*n. Solve z(v) = 0 for v.
-151, -1
Let l(p) be the second derivative of -p**5/5 - 545*p**4/3 + 2*p**3/3 + 1090*p**2 + 881*p - 5. What is a in l(a) = 0?
-545, -1, 1
Suppose 3444*s - 298 = 3295*s. Let -3*m**5 + 0 + 11*m**3 - 2*m - 7/2*m**s + 19/2*m**4 = 0. What is m?
-1, -1/3, 0, 1/2, 4
Let h = -89 - -83. Let c be 6*((-5)/h - 7/42). Find r such that 10*r**c - 12*r**4 + 0*r**3 + r**3 + r**5 = 0.
0, 1
Suppose 9*u + 4*c = 7*u - 30, -3*c - 18 = 3*u. Let y(v) be the first derivative of 1/4*v**5 - 5/12*v**u - 25/8*v**2 - 3 + 25/16*v**4 + 0*v. Factor y(l).
5*l*(l - 1)*(l + 1)*(l + 5)/4
Solve -1951*b**2 + 3339*b**3 + 912*b + 192 - 2510*b**2 - 834*b**4 + 48*b**5 + 804*b**3 = 0.
-1/8, 1/2, 1, 8
Let i = 10970/2317 - 1378/331. Factor 108/7*u - 104/7 - i*u**2.
-4*(u - 26)*(u - 1)/7
Let k(d) be the third derivative of -d**7/630 - 49*d**6/360 + 101*d**5/180 - 17*d**4/24 + 5*d**2 - 65*d. Factor k(y).
-y*(y - 1)**2*(y + 51)/3
Factor -114/5 + 2/5*j**2 - 32/5*j.
2*(j - 19)*(j + 3)/5
Factor 136/7*a + 40/7 - 2*a**2.
-2*(a - 10)*(7*a + 2)/7
Let x be -35*(-4)/10 - (4 - -4). Let f(r) be the second derivative of x*r + 1/2*r**3 + 1/12*r**4 + r**2 + 0. Factor f(v).
(v + 1)*(v + 2)
Let j(g) be the second derivative of g**6/195 - 19*g**5/13 + 150*g**4 - 16250*g**3/3 - 105625*g**2 - 2534*g. Factor j(v).
2*(v - 65)**3*(v + 5)/13
What is h in -177/8*h**4 - 579/8*h**2 + 747/8*h**3 - 3/8*h**5 - 93*h + 189/2 = 0?
-63, -1, 1, 2
Let f = 1 - 0. Suppose 5*o - 54 = -3*m, 0 = -5*o + 4*m - 3*m + 42. Determine z, given that f - o*z - z**2 - 65 - 7*z = 0.
-8
Let r(z) = -515*z + 126. Let x be r(-2). Let y = -3467/3 + x. Find p such that -y*p**5 - 1/3*p + 2/3*p**3 + 2/3*p**4 + 2/3 - 4/3*p**2 = 0.
-1, 1, 2
Let j(n) = n**2 - n - 1. Suppose -2*y + 2 = 0, k + 0*y - 3*y = -8. Let r(p) = 2*p**2 - 6*p - 1. Let w(q) = k*j(q) + r(q). Determine d, given that w(d) = 0.
-4/3, 1
Let r(k) be the third derivative of k**7/70 + 3*k**6/20 - 2*k**5 + 20*k**2 - k. Factor r(l).
3*l**2*(l - 4)*(l + 10)
Let c(q) = -20*q**3 + 2*q**2 + 39*q - 55. Let x = 184 - 201. Let t(l) = 7*l**3 - l**2 - 13*l + 19. Let k(n) = x*t(n) - 6*c(n). Find h such that k(h) = 0.
-7, 1
Factor 0 - 104*i**2 + 2/3*i**4 + 18*i**3 + 256/3*i.
2*i*(i - 4)*(i - 1)*(i + 32)/3
Suppose 20*m = 2 + 78. Factor -59*q**m - 3*q**3 + 3*q + 27*q**4 - q**2 + 2 + 31*q**4.
-(q - 1)*(q + 1)**2*(q + 2)
Let n = -823/99 - -845/99. Factor 0 + 2/9*c**3 - n*c**2 - 4/9*c.
2*c*(c - 2)*(c + 1)/9
Find t such that 715*t**3 + 3*t**2 - 842*t**4 - 123*t**4 - 64*t - 603*t**2 - 656*t + 1570*t**4 = 0.
-12/11, 0, 1
Suppose 3*c - 4*y = 2*c + 16, -5*c = -2*y - 26. Suppose -40 = c*h - 56. Suppose 5*r**5 - 5*r**4 - 3*r**h + 3*r**4 = 0. Calculate r.
0, 1
Let a(v) = -v**4 + v**2 + 2. Let q(d) = 20*d**4 + 160*d**3 + 3758*d**2 + 23040*d + 41436. Let h(y) = 36*a(y) + 2*q(y). Solve h(m) = 0.
-36, -4
Let c = -535 + 541. Suppose -p + c = -t + 1, -2*t = 3*p + 10. What is r in p - 10*r + 5/3*r**3 - 25/3*r**2 = 0?
-1, 0, 6
Solve 81/8*m**2 + 495/8 + 3/8*m**3 - 579/8*m = 0 for m.
-33, 1, 5
Let 21 - 126 - 175 + 6*m - 9*m + 8*m + 5*m**2 = 0. What is m?
-8, 7
Let l(i) be the first derivative of -26 - 4/3*i**3 + 28*i + 12*i**2. Factor l(t).
-4*(t - 7)*(t + 1)
Let n = -56 - -67. Suppose -11*l - n + 33 = 0. Determine a, given that -5*a**l - 5*a**2 - 20*a**4 - 25*a**3 + 2*a**5 - 7*a**5 = 0.
-2, -1, 0
Let l(h) be the first derivative of 66 + 0*h**2 + 0*h - 4/3*h**3 - 2*h**4. Determine q, given that l(q) = 0.
-1/2, 0
Let w(q) = -8*q**3 + 15606*q**2 + 13530430*q + 3910286185. Let v(a) = -21*a**3 + 39015*a**2 + 33826077*a + 9775715463. Let t(m) = 7*v(m) - 18*w(m). Factor t(r).
-3*(r + 867)**3
Let l(f) be the first derivative of 0*f - 8/15*f**3 + 4/5*f**2 + 35 - 3/10*f**4 + 4/25*f**5 + 1/15*f**6. Factor l(p).
2*p*(p - 1)**2*(p + 2)**2/5
Factor -316875/4 + 975/2*x - 3/4*x**2.
-3*(x - 325)**2/4
Suppose -l**2 + 241 - 697 + 44*l + 231 + 225 = 0. What is l?
0, 44
Let i be 69/18*2313/5911. Suppose i*v - 