rd derivative of p**5/390 + 9*p**4/52 + 140*p**3/39 + 3721*p**2. Factor f(z).
2*(z + 7)*(z + 20)/13
Factor 0*s**3 + 9/7*s**2 - 1/7*s**4 + 0 + 0*s.
-s**2*(s - 3)*(s + 3)/7
Suppose 824*b - 3604 = -77*b. Suppose 0*w - 3/5*w**b + 0*w**2 + 2/5*w**3 + 0 - 2/5*w**5 = 0. What is w?
-2, 0, 1/2
Let c be 2409/(-730)*(-50)/110. Find g such that -114*g - c*g**3 + 33*g**2 + 108 = 0.
2, 18
Let t(h) be the third derivative of 0*h**4 + 1/2205*h**7 + 0*h**6 + 2*h**2 + 4/63*h**3 + 0*h - 1/126*h**5 + 38. Solve t(n) = 0 for n.
-2, -1, 1, 2
Let z be 108/(-12)*1*-1. Let c(b) = 8*b - 29. Let t be c(z). What is k in 2*k**2 + k**4 - t*k**3 + 46*k**3 + 0*k**4 = 0?
-2, -1, 0
Let w be ((-1)/(-3))/(((-6)/27)/((-4)/36)). Let c(y) be the second derivative of 12/5*y**6 + 0*y**3 + w*y**4 + 0*y**2 + 3*y - 6/5*y**5 + 0. Factor c(t).
2*t**2*(6*t - 1)**2
Factor 0 - 24/5*o + 1/5*o**3 - 2*o**2.
o*(o - 12)*(o + 2)/5
Let b be (-216)/(-28) + (-87)/(-14) + 924/(-4312). Factor 51/7*q**2 - b + 3/7*q**3 + 6*q.
3*(q - 1)*(q + 2)*(q + 16)/7
Let b(w) be the first derivative of -2*w**3/33 + 5*w**2 - 108*w/11 - 15. Find x such that b(x) = 0.
1, 54
Let m(q) = -6*q**2 - 29*q + 56. Let p(b) = -2*b**2 - 10*b + 18. Let g = 784 - 798. Let j(u) = g*p(u) + 4*m(u). Solve j(k) = 0 for k.
-7, 1
Let i(v) = v**3 - 10*v**2 + 2*v + 2. Let j be i(10). Factor 251*o - 28*o**3 - 71 - 4*o**4 - j*o - 9*o - 129 + 12*o**2.
-4*(o - 2)*(o - 1)*(o + 5)**2
Let w = 164 + -148. Factor -2*a**2 - 10*a**3 - 40*a - w + 56*a**3 + 9*a**2 + 3*a**3.
(a - 1)*(7*a + 4)**2
Let f(g) be the first derivative of g**3/2 - 165*g**2/4 - 84*g + 9328. Factor f(t).
3*(t - 56)*(t + 1)/2
Determine m, given that 312*m**2 - 2045*m - 2354 - 967*m**2 - 612*m + 97*m - 186 - 5*m**3 = 0.
-127, -2
Let n(d) be the first derivative of d**5/40 + 161*d**4/32 + 105*d**3/8 - 477*d**2/16 + 737. Factor n(u).
u*(u - 1)*(u + 3)*(u + 159)/8
Factor -263/2*g**2 - 106*g + 30 + 9/2*g**3.
(g - 30)*(g + 1)*(9*g - 2)/2
Let z(s) be the first derivative of 1/60*s**3 - 1/2*s**2 + 49*s - 29 + 1/40*s**4. Let b(m) be the first derivative of z(m). Factor b(o).
(o + 2)*(3*o - 5)/10
Let y(x) be the first derivative of x**6/21 - 178*x**5/35 + 44*x**4/7 - 1096. Determine z so that y(z) = 0.
0, 1, 88
Determine o so that -1/3*o**2 - 92/3*o + 188/3 = 0.
-94, 2
Suppose -113*w = -37 - 189. Let r(f) be the first derivative of -24/7*f**w - 1/14*f**4 + 1 + 6/7*f**3 + 32/7*f. Factor r(b).
-2*(b - 4)**2*(b - 1)/7
Let x = -10648 + 10653. Let d(c) be the third derivative of 0*c + 1/9*c**3 + 0 + 1/36*c**4 + 22*c**2 + 1/360*c**x. Determine t so that d(t) = 0.
-2
Factor 406*j**3 + 764*j - 17*j**2 - 844*j - 405*j**3 - 84.
(j - 21)*(j + 2)**2
Let z(d) be the first derivative of -4/3*d**3 - 44 - 2*d**2 + 8*d. Factor z(r).
-4*(r - 1)*(r + 2)
Let f = 9/403 - -322/3627. Let k(s) be the second derivative of f*s**4 - 10*s + 0 + 1/3*s**3 + 0*s**6 - 2/3*s**2 + 1/63*s**7 - 2/15*s**5. Solve k(a) = 0.
-2, -1, 1
Let s(p) = -2*p**2 + 20*p - 37. Let z be s(13). Let v = z + 175. Factor -v*c - 50 + 78 + 36*c**2 + 3*c**3 - 7*c**3.
-4*(c - 7)*(c - 1)**2
Factor 28*k**2 + 62*k**2 + 101*k + 100 - 84 - 17*k.
2*(3*k + 2)*(15*k + 4)
Let s(c) = -300*c**3 - 2*c**2 + 9*c - 8. Let x be s(1). Let o be x/(-105) + (-6)/90. Solve 26/5*b**4 + 36/5*b**2 + 44/5*b**3 + 6/5*b**5 + 2/5 + o*b = 0.
-1, -1/3
Suppose -317*r - 771*r + 3688 - 182 = 665*r. Factor 4/7*k**r - 36/7*k + 0.
4*k*(k - 9)/7
Let g = -1142562/7 - -163226. Suppose -48/7 + 2/7*z**2 + g*z = 0. What is z?
-12, 2
Suppose 3 = 12*z - 33. Factor -15*x**4 + 11*x**3 - 9*x**2 + 35*x**3 + 3*x**5 - 25*x**z.
3*x**2*(x - 3)*(x - 1)**2
Let m(g) = 31*g**2 - 18172*g + 5508724. Let n(h) = 20*h**2 - 12115*h + 3672475. Let o(c) = 5*m(c) - 8*n(c). Factor o(z).
-5*(z - 606)**2
Factor 268/3*h + 5/3 - 384*h**2.
-(4*h - 1)*(288*h + 5)/3
Let b be -7 + 120/16 - 20/(-8). Let h(v) be the first derivative of 2*v**4 - 4*v**2 + 1 + 2/5*v**5 + 2*v**b - 8*v. Factor h(r).
2*(r - 1)*(r + 1)*(r + 2)**2
Let l(o) = 14*o**4 - 101*o**3 - 14*o**2 + 203*o + 17. Let k(u) = -5*u**4 + 32*u**3 + 5*u**2 - 68*u - 6. Let g(s) = 17*k(s) + 6*l(s). Let g(b) = 0. Calculate b.
-62, -1, 0, 1
Let t(d) be the second derivative of 6*d**5/5 - 227*d**4/4 + 337*d**3/8 - 21*d**2/2 - 98*d - 5. Solve t(m) = 0 for m.
1/8, 1/4, 28
Let n = -13994 - -209912/15. Suppose 3*h = 5*h. Determine g, given that h + 2/15*g**2 + n*g = 0.
-1, 0
Let x(m) = 7*m + m**2 - 4*m - 2*m. Let n(l) = 7*l**2 - 5*l - 84. Let s(p) = -n(p) + 4*x(p). Factor s(r).
-3*(r - 7)*(r + 4)
Let n(m) = -16*m**3 - 152*m**2 + 150*m. Let r(u) = -19*u**3 - 153*u**2 + 151*u. Let o(t) = -7*n(t) + 6*r(t). What is l in o(l) = 0?
0, 1, 72
Let j = 29/47 - -853/141. Let w(d) be the first derivative of -28/5*d**5 + 5 + 2*d**2 - j*d**3 + 0*d + 9*d**4 + 4/3*d**6. Suppose w(n) = 0. Calculate n.
0, 1/2, 1
Let k(d) = 5*d**2 - 301*d + 324. Let m(i) = 4*i**2 - 200*i + 216. Let z(n) = -5*k(n) + 7*m(n). Determine j so that z(j) = 0.
-36, 1
Let q(p) be the first derivative of 3/4*p**2 - 58 - 1/4*p**3 + 9/4*p. Factor q(v).
-3*(v - 3)*(v + 1)/4
Let s be ((2835/112)/(-27))/(14/(-8) - (-11)/11). Find t such that -1/4*t**5 + 1/4 + 5/2*t**2 + 5/4*t**4 - s*t - 5/2*t**3 = 0.
1
Let l(f) be the second derivative of f**6/6 + 19*f**5/12 - 455*f**4/18 - 710*f**3/9 + 220*f**2 + 11*f - 189. Find j, given that l(j) = 0.
-11, -2, 2/3, 6
Let y(s) be the second derivative of 1/6*s**6 + 65/2*s**2 + 4*s**5 + 35/2*s**4 + 100/3*s**3 + 43*s + 3. Factor y(j).
5*(j + 1)**3*(j + 13)
Suppose 0 = -45*r + 44*r + 3. Let 0*h - r*h**2 + 367*h**4 + 0*h - 722*h**4 + 358*h**4 = 0. Calculate h.
-1, 0, 1
Let m(z) be the second derivative of -5*z**4/12 - 65*z**3/2 - 675*z**2 - 32*z - 7. Factor m(p).
-5*(p + 9)*(p + 30)
Find p such that 3*p**3 - 8/3*p**4 + 1/3*p**5 + 6*p**2 + 0 + 0*p = 0.
-1, 0, 3, 6
Let q be (1*16)/(3 - 1). Suppose -4*s + 16 = -2*b, 5*s - 13 = -22*b + 21*b. Factor 8*x**2 + 6*x**4 - 12*x**s + 6*x**5 - q*x**5 + x**5.
-x**2*(x - 2)**3
Suppose -3255*b**3 + 204*b**4 + 994*b**2 - 8354*b**2 - 3*b**5 + 10*b**2 = 0. Calculate b.
-2, 0, 35
Let r(o) be the third derivative of -57*o**6/40 + 343*o**5/60 - 173*o**4/24 + o**3/6 - 11*o**2 + 2*o + 193. Factor r(k).
-(k - 1)**2*(171*k - 1)
Let o(s) be the second derivative of -s**9/21168 - s**8/11760 + s**7/980 - 143*s**3/6 + 31*s - 1. Let g(k) be the second derivative of o(k). Factor g(n).
-n**3*(n - 2)*(n + 3)/7
Let b be (-44)/(-33)*9/(-6). Let o be b - 460/(-96) - (-22)/(-176). Let -5/3*c**4 + 0 + 2*c**2 + o*c - 3*c**3 = 0. Calculate c.
-2, -4/5, 0, 1
Factor 192/7*k**2 - 768/7 + 8/7*k - 2/7*k**3.
-2*(k - 96)*(k - 2)*(k + 2)/7
Let o be 3/4*120/9. Suppose -o*a = -7*a - a. Factor -2/7*f**3 - 6/7*f**2 - 4/7*f + a.
-2*f*(f + 1)*(f + 2)/7
Let f(s) be the second derivative of 9/10*s**5 + 0*s**2 - 65 + 1/21*s**7 + 0*s**3 - 2/3*s**4 - 2/5*s**6 - s. Factor f(v).
2*v**2*(v - 4)*(v - 1)**2
Let k(s) = -7*s**3 - 1976*s**2 - 565*s - 279. Let p be k(-282). Factor -45/4*l**2 + 0*l - 11*l**p + 0 + 1/4*l**4.
l**2*(l - 45)*(l + 1)/4
Suppose 0 = 4*f - 33*f + 1972. Factor -f*v - 943*v**2 - 935*v**2 + 1882*v**2 - 152.
4*(v - 19)*(v + 2)
Factor -558*a**2 - 7080*a - 94983*a**3 - 4788 + 13*a**2 - 16992 + 94988*a**3.
5*(a - 121)*(a + 6)**2
Let m(k) = -5*k**3 + 10*k**2 - k + 5. Let g be m(2). Factor -169 - 3*j**2 + 0*j**2 - 16*j + 297 - 152 + 2*j**g + 5*j**2.
2*(j - 3)*(j + 2)**2
Let b = -519466/55 + 103902/11. Determine h so that -16/5 - 28/5*h + b*h**3 - 8/5*h**2 = 0.
-1, 4
Let k(a) be the third derivative of 56*a**2 - 36/7*a**3 + 0 + 3/14*a**4 + 13/280*a**6 + 0*a + 1/490*a**7 + 23/70*a**5. Factor k(q).
3*(q - 1)*(q + 2)*(q + 6)**2/7
Let g(i) be the third derivative of -1/60*i**5 - 2 + 0*i**3 + 13/12*i**4 + 0*i - 44*i**2. Factor g(u).
-u*(u - 26)
Let x(l) be the first derivative of -l**5/15 - 5*l**4/6 + 61*l**3/9 + 35*l**2/3 - 4597. Let x(a) = 0. Calculate a.
-14, -1, 0, 5
Let k be ((-20)/21*728/(-520))/14. Factor -2/21*h - k*h**2 + 4/7.
-2*(h - 2)*(h + 3)/21
Let f(l) be the first derivative of -16*l - 338 - 54/7*l**2 + 4/21*l**3. Find p such that f(p) = 0.
-1, 28
Let l(z) = -2*z**3 - 245*z**2 - 363*z + 6. Let h be l(-121). Factor 1/3*w**3 + h + 8/3*w**2 + 7*w.
(w + 2)*(w + 3)**2/3
Let q(s) be the third derivative of s**5/270 - 3*s**3 - 844*s**2. Factor q(m).
2*(m - 9)*(m + 9)/9
Let x(p) be the first d