**4 + 47*a**2 - 1/10*a**6 + 0. Solve b(q) = 0 for q.
-5, -1, 1, 2
Let x(o) be the first derivative of -o**4/2 - 104*o**3 + 157*o**2 - 820. Factor x(u).
-2*u*(u - 1)*(u + 157)
Let f(q) be the third derivative of -q**6/160 + 3*q**5/20 - 45*q**4/32 + 25*q**3/4 + 2811*q**2. Let f(a) = 0. Calculate a.
2, 5
Let c be ((-361)/(-38) - 14) + 9. Factor c*f**2 + 9/2*f**3 - 4*f + f**4 - 6.
(f - 1)*(f + 2)**2*(2*f + 3)/2
Let n(x) = -12*x**2 + 12381*x + 6151. Let s(m) = 18*m**2 - 18573*m - 9223. Let j(y) = 8*n(y) + 5*s(y). Factor j(i).
-3*(i - 1031)*(2*i + 1)
Let o(h) be the third derivative of 0*h + 1/210*h**7 + 1/2*h**3 - 1/60*h**6 + 1/12*h**4 - 3*h**2 - 1/15*h**5 + 0. Suppose o(k) = 0. Calculate k.
-1, 1, 3
Suppose 18*i - 60 = 8*i - 5*i. Suppose 12*g - 126 = -9*g. Factor -42*s**3 - g*s**2 + 0 + 0*s - 147/2*s**i.
-3*s**2*(7*s + 2)**2/2
Let m be (-189 - (4 - (5 + -6)))*9. Let j = -5237/3 - m. Factor -2/3*t**2 + 2/3*t**3 + t**4 - 1/3 + j*t**5 - t.
(t - 1)*(t + 1)**4/3
Let f = -45 + 47. Let -14*u**f - 26 - 9*u**2 + 18*u**2 - 34 + 40*u = 0. Calculate u.
2, 6
Let u(d) = 2*d + 16. Let a be u(-7). Let v be (a - (-8)/(-6))*12/2. Suppose 0*g**2 - 9*g**2 + 2*g - 2*g**v + 3*g**2 + 6*g**3 = 0. What is g?
0, 1
Let b = -210 + 218. Suppose -15*z**5 - 551*z**4 + 24*z**3 + 8*z - 12*z**2 - b*z + 572*z**4 = 0. What is z?
-1, 0, 2/5, 2
Let f(p) be the first derivative of p**3/18 + 95*p**2/6 - 388*p/3 - 2600. Determine y so that f(y) = 0.
-194, 4
Let w(u) be the third derivative of u**5/15 - 57*u**4 - 686*u**3/3 - 19*u**2 + 29*u. Factor w(q).
4*(q - 343)*(q + 1)
Factor 1/2*u**2 + 22 - 15/2*u.
(u - 11)*(u - 4)/2
Suppose 0 = -11*s - 13*s - 7*s + 62. Let i(d) be the second derivative of -1/2*d**4 + 0*d**s + 13*d + 0*d**3 - 3/20*d**5 + 0. Let i(y) = 0. What is y?
-2, 0
Let v(r) be the first derivative of 0*r**2 - 71 + 8*r - 8/3*r**3 + 3/10*r**5 + 1/2*r**4 - 1/12*r**6. Find g such that v(g) = 0.
-2, -1, 2
Let t(x) be the third derivative of -x**6/220 - 17*x**5/10 - 8835*x**4/44 - 8649*x**3/11 - 6746*x**2. What is d in t(d) = 0?
-93, -1
Let l(w) be the second derivative of -w**4/6 + 718*w**3/3 - 3521*w. Factor l(v).
-2*v*(v - 718)
Let a = -12 + 15. Suppose 0 = -4*l + a*s + 15, -s = -2*l - 2*s + 5. Factor -v**3 + 9*v**l - 3*v**3 - v**3 - 16*v.
4*v*(v - 2)*(v + 2)
Let w(p) be the third derivative of p**6/200 + 2*p**5/25 + 2*p**2 + 585. Suppose w(g) = 0. What is g?
-8, 0
Let w(g) be the first derivative of g**4/26 - 54*g**3/13 + 987*g**2/13 - 6566*g/13 - 2541. Factor w(v).
2*(v - 67)*(v - 7)**2/13
Suppose 0 = -4*b - 2*x + 28, 2*b - x - 4 = 6. Let l(u) be the second derivative of -3/4*u**5 + 0 + 1/6*u**b + 23*u + 0*u**4 + 0*u**3 + 0*u**2. Factor l(g).
5*g**3*(g - 3)
Solve 1/5*m**3 - 12/5*m**2 + 0 - 32*m = 0 for m.
-8, 0, 20
Let y(q) = -q**3 - 2*q**2 - q + 2. Let s be y(-2). Suppose 2 = -6*l + 9*l + h, -4 = -s*l - h. Factor -5*w**2 - 22 + 4 - 16*w**l + 26*w + 43*w.
-3*(w - 3)*(7*w - 2)
Let g be (12/10)/((-6)/(-540)). Let s be 9/2*g/243. Factor -6 + 4*m**2 + 8*m + 0*m**2 - 5*m**s - m**2.
-2*(m - 3)*(m - 1)
Let n = 253 - 237. Factor 106 - n*h - 4*h**2 - 220 + 98 - 4*h.
-4*(h + 1)*(h + 4)
Let a(w) be the second derivative of 2*w**3 - 5 - 35/24*w**4 - 2*w + 49/120*w**5 - 4/3*w**2. Factor a(v).
(v - 1)*(7*v - 4)**2/6
Let w(r) = -2*r**3 + 8*r**2 - 56*r + 151. Let v be w(3). Suppose -5/2*n + v + 3/2*n**2 = 0. What is n?
2/3, 1
Let f be 3 - (189/14 + -12)*4/6. Let q(n) be the second derivative of -1/30*n**3 - 19*n + 0*n**f + 1/150*n**6 + 0 + 1/100*n**5 - 1/60*n**4. Factor q(t).
t*(t - 1)*(t + 1)**2/5
Let i(z) be the first derivative of -12*z + 16/3*z**3 + 4*z**2 - 2*z**4 - 91 - 4/5*z**5. Factor i(h).
-4*(h - 1)**2*(h + 1)*(h + 3)
Let o(n) = 6*n**3 - 5*n**2 - 36*n + 12. Let x(y) = 11*y**3 - 13*y**2 - 71*y + 26. Let h(u) = 7*o(u) - 4*x(u). Factor h(v).
-(v - 10)*(v + 2)*(2*v - 1)
Let j(p) be the first derivative of -2*p**3/69 - 20*p**2/23 + 682*p/23 + 4255. Determine o so that j(o) = 0.
-31, 11
Let l(r) = -20*r + 73. Let t be l(3). Suppose -5*b - 2*u - 2 = 0, 2*b + 17*u - t*u = -4. Suppose b - 6/7*q**2 + 2/7*q**3 + 4/7*q = 0. Calculate q.
0, 1, 2
Factor 1388575 + 24887498 + 1722*j**2 + 11766467 + j**3 - 3*j**3 - 494214*j + 9237266.
-2*(j - 287)**3
Let y(h) be the first derivative of -h**7/7560 + h**6/360 - h**5/40 + h**4/8 + h**3/3 + 6*h**2 - 65. Let f(t) be the third derivative of y(t). Factor f(o).
-(o - 3)**3/9
Let a(v) = -19*v - 10. Let o be a(-1). Suppose 0 = l - o. Suppose 9*k**3 - l*k - 3*k**2 + 18*k**3 + 0*k**4 + 6 - 3*k**4 - 18*k**3 = 0. Calculate k.
-1, 1, 2
Determine q so that 1760*q + 196*q**2 + 3456 + 856 - 664 - 4*q**3 = 0.
-4, 57
Suppose 0 = -2*n - 10, 4*t - 3 = -2*n - 9. Suppose 3 = r + t. Factor 2 + 0 + 340*p - p**r - 339*p.
-(p - 2)*(p + 1)
Suppose 240 - 22 = 2*c - x, -c + x + 111 = 0. Let -c*k**2 - k**3 - 36*k + 95*k**2 - 20 + k**3 + 4*k**3 = 0. Calculate k.
-1, 5
Let p(n) = -n**4 - 30*n**3 - 15*n**2 + 54*n + 4. Let q(g) = -30*g**3 - 12*g**2 + 54*g + 6. Let d(s) = 3*p(s) - 2*q(s). Find a, given that d(a) = 0.
-9, -2, 0, 1
What is r in 10071*r**2 - 35721/2*r + 27/2*r**5 + 32847*r**3 + 7203/2 + 2655/2*r**4 = 0?
-49, -1, 1/3
Let y(m) be the second derivative of -3/10*m**5 - 1/10*m**6 + 0 + 2*m**3 - 6*m**2 + 3/4*m**4 - 57*m. Factor y(v).
-3*(v - 1)**2*(v + 2)**2
Let l(d) be the third derivative of -d**5/180 - 23*d**4/72 - 100*d**2. Let l(z) = 0. What is z?
-23, 0
Let f(p) be the third derivative of -p**5/20 + 1701*p**4/8 + 851*p**3 - 6*p**2 + 881*p. Factor f(o).
-3*(o - 1702)*(o + 1)
Factor 105/4*v - 1/4*v**2 - 26.
-(v - 104)*(v - 1)/4
Factor 0 - 6/11*a - 2/11*a**2.
-2*a*(a + 3)/11
Let h = -17317 - -17320. Find y such that 28/5*y**h + 24/5*y - 52/5*y**2 + 0 - 4/5*y**5 + 4/5*y**4 = 0.
-3, 0, 1, 2
Let c(t) = -t + 2. Let y = 320 - 316. Let x(p) = -81*p**3 + 1575*p**2 - 689*p + 78. Let u(b) = y*c(b) - 4*x(b). Factor u(a).
4*(a - 19)*(9*a - 2)**2
Let d(o) be the first derivative of o**6/10 - 138*o**5/25 + 2127*o**4/20 - 828*o**3 + 2430*o**2 + 406. Let d(u) = 0. What is u?
0, 5, 18
Factor 80/3*j - 1/3*j**2 - 125.
-(j - 75)*(j - 5)/3
Let t(h) = -10*h - 6. Let c(o) = -8*o - 7. Let i(j) = 2*c(j) - 3*t(j). Let g be i(0). Factor -1/4*s**g + 343*s - 147/2*s**2 + 7*s**3 - 2401/4.
-(s - 7)**4/4
Let c(l) be the second derivative of 115*l + 8/3*l**3 + 1/15*l**6 + 0 - 1/5*l**5 + 0*l**2 - 2/3*l**4. Factor c(k).
2*k*(k - 2)**2*(k + 2)
Let c(q) be the second derivative of 149*q - 3/20*q**5 - 216*q**2 + 6*q**3 + 0 + 2*q**4. Factor c(v).
-3*(v - 6)**2*(v + 4)
Factor -3/8*v**4 + 0 + 21/2*v**2 + 0*v - 9/2*v**3.
-3*v**2*(v - 2)*(v + 14)/8
Let p = -1961 + 1943. Let v be 12/(-54) - 92/p - 4. Let -v - 2/3*y - 1/9*y**2 = 0. Calculate y.
-4, -2
Factor 9102*x**3 - 9107*x**3 - 98*x**2 - 22*x**2.
-5*x**2*(x + 24)
Let p = 43378 + -43372. Factor p + 17/3*b - 1/3*b**2.
-(b - 18)*(b + 1)/3
Let i = 107986 + -107984. What is u in -4/7*u + 4/7*u**3 - 2/7*u**4 + 2/7*u**i + 0 = 0?
-1, 0, 1, 2
Let a(v) be the third derivative of v**6/80 - 37*v**5/20 + 90*v**4 - 648*v**3 + 1335*v**2. Suppose a(m) = 0. What is m?
2, 36
Let u(m) be the third derivative of -m**5/30 + 37*m**4/12 - 104*m**3 - 655*m**2 - 3*m. Suppose u(b) = 0. Calculate b.
13, 24
Let r(t) be the third derivative of -t**6/720 - 49*t**5/60 - 65*t**4/16 - 73*t**3/9 - 1671*t**2 + 2*t. Factor r(f).
-(f + 1)**2*(f + 292)/6
Let i be (-36)/20 - -2 - (-1167)/15. Solve 15*v**2 - 42*v - 428*v**3 + 140 - i*v + 0*v**2 + 433*v**3 = 0.
-7, 2
Suppose -5*u = -188 - 232. Suppose 0*i + 3*i - 62 = 2*j, u = 4*i - 4*j. What is g in -23*g**3 - 3 + i*g**2 + 3 + 5*g**4 + 3*g**3 = 0?
0, 2
Suppose -635 = -22*x + 135. Let -71*u + x*u - 6*u**2 - u**3 + 31*u = 0. What is u?
-5, -1, 0
Let s(y) be the second derivative of y**6/36 - 109*y**5/60 + 68*y**4/9 - 227*y**3/18 + 41*y**2/4 - 430*y - 4. Suppose s(h) = 0. What is h?
3/5, 1, 41
Let 4 + 71*i**4 - 41*i**4 - 1023*i**5 + 1015*i**5 - 12*i - 4 - 50*i**2 = 0. Calculate i.
-1, -1/4, 0, 2, 3
Let w(y) be the third derivative of 98/5*y**6 + 25/168*y**8 + 100*y**2 + 152*y**4 + 0*y - 19/7*y**7 - 192*y**3 + 0 - 1082/15*y**5. Determine d so that w(d) = 0.
1, 6/5, 4
Let z(n) be the second derivative of -n**6/300 + 13*n**5/200 + 43*n**4/60 + 6*n**3/5 - 9037*n. Let z(c) = 0. What is c?
-4, -1, 0, 18
Let h(d) be the second derivative of -d**5/10 + 4*d**4 