e t.
-1, 1, 3, 12
Let d(s) be the second derivative of 3/35*s**5 + 2/7*s**3 + 11/42*s**4 + 0*s**2 + 2*s + 1/105*s**6 - 11. Factor d(a).
2*a*(a + 1)*(a + 2)*(a + 3)/7
Let c = -181867 + 363735/2. Factor -66*i + 37*i**2 - 15/2*i**3 + c*i**4 + 36.
(i - 6)**2*(i - 2)*(i - 1)/2
Let h(u) = 8*u**3 - 14*u**2 + 26*u + 42. Let s(x) = 10*x**3 - 13*x**2 + 25*x + 41. Let y(t) = -7*h(t) + 6*s(t). Solve y(i) = 0 for i.
-6, -1, 2
Let w be (-38)/(1*4/(-48)). Let l = -483 + 933. Determine g, given that 3*g**3 - w + l - 4*g - 5*g = 0.
-1, 2
Let r be -4*((-404)/(-707) + 6/14)/(-1). Factor 32/3*z**2 + 4/3 + 2/3*z**5 + 4*z**r + 28/3*z**3 + 6*z.
2*(z + 1)**4*(z + 2)/3
Let a(k) = -16*k + 3. Let n be a(0). Let f be n/(32/5 + 15/25). Factor -6/7*v**2 + 3/7*v + f.
-3*(v - 1)*(2*v + 1)/7
Factor -2224/5 - 4/5*q**2 - 224*q.
-4*(q + 2)*(q + 278)/5
Factor -5/3*i**3 - 8/3*i**2 + 1/6*i**5 - 7/3 + 11/2*i + i**4.
(i - 1)**3*(i + 2)*(i + 7)/6
Let b = 6381/89138 + -1/6367. Let h(a) be the first derivative of 0*a + 0*a**2 + 2/7*a**3 - 6 + b*a**4. Find y, given that h(y) = 0.
-3, 0
Let b(k) be the first derivative of -k**6/27 - 8*k**5/45 - k**4/9 + 8*k**3/27 + k**2/3 + 467. Find u, given that b(u) = 0.
-3, -1, 0, 1
Let l be (42/(-8))/(696/(-3712)). Let o(k) be the second derivative of -1/3*k**4 + 0*k**3 + 2*k**2 + 0 + l*k. Suppose o(b) = 0. Calculate b.
-1, 1
Let d = -791629 - -791724. Factor 1805 - d*h + 5/4*h**2.
5*(h - 38)**2/4
Suppose -119 - 49 = -7*o. Let v be o/16*((-2 - -3) + 1). Find w, given that 0 + 3/2*w**2 + v*w - 3/2*w**3 = 0.
-1, 0, 2
Let h(l) be the second derivative of l**6/50 - 243*l**5/100 + 135*l**4/4 - 1971*l**3/10 + 2916*l**2/5 - 1716*l. Factor h(t).
3*(t - 72)*(t - 3)**3/5
Let v(s) be the third derivative of 1/120*s**5 - 1/40*s**6 + 0 + 0*s**3 - 97*s**2 + 1/60*s**7 - 5/1344*s**8 + 1/96*s**4 + 0*s. Factor v(m).
-m*(m - 1)**3*(5*m + 1)/4
Let z(o) be the first derivative of 2*o**3/3 - 200*o**2 + 9998*o - 59. Let s(n) = -3*n**2 + 800*n - 19995. Let i(q) = 2*s(q) + 5*z(q). Factor i(l).
4*(l - 50)**2
Let l(d) be the second derivative of 3*d**5/20 + 239*d**4/4 - 2694*d. Factor l(k).
3*k**2*(k + 239)
Let v(b) be the second derivative of 0 + 19/24*b**4 + 11/80*b**5 + 1/120*b**6 - 14*b + 3*b**2 + 13/6*b**3. Factor v(d).
(d + 1)*(d + 2)**2*(d + 6)/4
Let j = 0 + 2. Suppose 290*f = 267*f + 276. Let 13*v**3 + 0*v**5 - f*v**j - 8*v**3 - 8*v + 4*v**5 + 12*v**4 - v**3 = 0. Calculate v.
-2, -1, 0, 1
Find g, given that -700889*g**2 + 288081*g**2 + 7125*g + 2534720*g**3 - 576072*g**2 + 143427*g**2 - 5 - 1696387*g**2 = 0.
1/712, 1
Factor 297 - 595 + 348*c**2 + 298 - 3*c**3 + 351*c.
-3*c*(c - 117)*(c + 1)
Let b(i) be the first derivative of -i**5/20 + 7*i**4/16 - 2*i**3/3 - 2*i**2 - 799. Solve b(w) = 0.
-1, 0, 4
Let w(x) be the first derivative of -8*x**3/3 + 42*x**2 - 220*x + 1068. Determine g so that w(g) = 0.
5, 11/2
Suppose 0 = a - 265 + 259. Factor -2*y**2 + 68 + 229*y - 189*y - 4 + a*y**2.
4*(y + 2)*(y + 8)
Let l be (-55)/((1 - 513/38) + -10). Find v, given that 2/9*v**2 - 8/3 + l*v = 0.
-12, 1
Suppose 13 = -8*b - 27. Let c be (12 - (-270)/(-24))/(b/(-32)). Factor 0 - 9/5*h**4 - c*h**3 - 16/5*h**2 + 0*h - 1/5*h**5.
-h**2*(h + 1)*(h + 4)**2/5
Suppose -40 = -4*b - 5*u, -4*b + 16*u = 12*u - 4. Factor b*c**2 + 287*c - 102 + 286*c + 7 - 663*c.
5*(c - 19)*(c + 1)
Let z = -39/157 + 899/2355. Let t(p) be the second derivative of z*p**3 - 8/75*p**6 + 0 + 9/25*p**5 + 0*p**2 - 2/5*p**4 + 8*p. Suppose t(h) = 0. Calculate h.
0, 1/4, 1
Let w(o) be the third derivative of 3*o**7/280 + o**6/120 - o**5/20 + 57*o**3/2 + 13*o**2. Let d(z) be the first derivative of w(z). Let d(k) = 0. What is k?
-1, 0, 2/3
Let u(w) be the third derivative of 3*w**6/40 - 61*w**5/4 + 251*w**4/4 - 100*w**3 + 3*w**2 - 98*w. Suppose u(a) = 0. Calculate a.
2/3, 1, 100
Let i(a) be the second derivative of -1/150*a**6 + 3/50*a**5 + 17 + 2/15*a**3 + 0*a**2 - 3/20*a**4 + 2*a. Factor i(n).
-n*(n - 4)*(n - 1)**2/5
Let m(o) be the first derivative of 2*o**6/3 - 9336*o**5/5 + 1815852*o**4 - 1883643808*o**3/3 + 8546. Solve m(s) = 0 for s.
0, 778
Let k(r) = -3*r**3 + 9*r**2 + 53*r + 21. Let f(b) = -b - 3 + 0 - 26*b**2 + 2 + 24*b**2. Let x(i) = -5*f(i) - k(i). Determine c, given that x(c) = 0.
-4, -1/3, 4
Let w be 87/(-4)*2820/(-10575). Factor -224/5*p - w*p**2 - 196/5 - 1/5*p**3.
-(p + 1)*(p + 14)**2/5
Let o(y) be the second derivative of -y**9/6804 - y**8/540 - y**7/315 - 119*y**3/6 + 260*y. Let b(c) be the second derivative of o(c). Factor b(s).
-4*s**3*(s + 1)*(s + 6)/9
Let t(g) = 6*g**2 + 16*g - 4. Let i be (-85)/30 - 2*(-1)/(-12). Let p(q) = -5*q**2 - 15*q + 3. Let j(o) = i*t(o) - 4*p(o). Solve j(k) = 0.
-6, 0
Let r = 6521/4318 + -22/2159. Determine b so that 10 + r*b**4 - 29/2*b**2 + 5*b**3 - 8*b = 0.
-5, -1, 2/3, 2
Factor 2475*w**3 + 2*w**5 + 205*w**4 + 197792073*w**2 - 197782758*w**2 + 3*w**5.
5*w**2*(w + 9)**2*(w + 23)
Let v(w) = 6*w**3 - 59*w**2 - 121*w - 66. Let j(t) = 3*t**3 - 29*t**2 - 61*t - 33. Let n = 130 + -135. Let p(u) = n*j(u) + 2*v(u). Factor p(s).
-3*(s - 11)*(s + 1)**2
Let y(x) be the first derivative of -105*x**4 - 1075*x**3/6 - 205*x**2/4 + 15*x - 4450. Suppose y(l) = 0. What is l?
-1, -3/8, 2/21
Factor -5807230/3*b - 6814/3*b**2 - 2/3*b**3 - 5800418/3.
-2*(b + 1)*(b + 1703)**2/3
Let j be ((-145505)/(-407414))/(0 - (-20)/7). Solve 0 + j*m**2 + 3/4*m - 1/2*m**3 + 1/8*m**4 = 0.
-1, 0, 2, 3
Suppose -h = 2*h - 15, 3*h = 2*w - 11. Let m = w - 9. Solve -m*b + b**2 - 3*b - 3*b**2 + b = 0.
-3, 0
Let l be 99/3 - 12 - 16. Let f(a) be the first derivative of 1/3*a**3 - 1/5*a**2 + 12 + 0*a + 1/25*a**l - 1/5*a**4. Factor f(p).
p*(p - 2)*(p - 1)**2/5
Let h(b) be the first derivative of 0*b + 5/6*b**6 + 2*b**5 - 81 + 15/2*b**2 - 5*b**4 - 10/3*b**3. Suppose h(a) = 0. Calculate a.
-3, -1, 0, 1
Let l be (4/(-13))/(16/(-104)). Factor -340*h**2 - 70*h + 0 + 5 - 104*h**2 - 10*h**l - 146*h**2.
-5*(6*h + 1)*(20*h - 1)
Suppose 4*b + 14 = 2*h, -b = -5*h + b + 43. Let r(j) = 3 - 4*j**3 - j**5 + 4 + h*j**3 - 5. Let l(k) = -k**5 - k**3 - 1. Let q(u) = 2*l(u) + r(u). Factor q(v).
-3*v**3*(v - 1)*(v + 1)
Factor 528*w**2 + 85*w**2 + 16*w**3 + 8*w**3 + 387*w**2 + 71*w**3 - 5*w**4 + 2160*w.
-5*w*(w - 27)*(w + 4)**2
Let v(p) = p + 20. Let z be v(0). Let k(c) be the first derivative of 2*c**4 - 18*c**2 + z*c**3 + 18 + 4*c - 11*c**4 + 2*c**4. Find n such that k(n) = 0.
1/7, 1
Let t(a) = a**3 + 19*a**2 - 6. Let m be t(-19). Let q be m - (-5 + -4 + (-14)/7). Suppose 6/7*l - 8/7*l**3 + 2/7*l**q - 4/7*l**2 + 0*l**4 + 4/7 = 0. What is l?
-1, 1, 2
Let g be (31 + -1)*(-132)/(-165). Let i(f) = -6*f - g + 22 - 27*f**2 - 5*f. Let y(b) = -41*b**2 - 17*b - 3. Let u(c) = 7*i(c) - 5*y(c). Let u(q) = 0. What is q?
-1/4
Let g be (8/(-5))/((-2)/25). Let y(i) = -i**3 - 5*i**2 + 21*i - 17. Let j be y(-8). Factor k**3 + 16*k - j*k**3 - 1 + g*k**2 + 1.
-2*k*(k - 4)*(3*k + 2)
Let f(z) be the third derivative of 25*z**8/1176 + 3*z**7/49 - 177*z**6/140 + 27*z**5/10 - 27*z**4/14 - 28*z**2 + 13*z. Suppose f(p) = 0. Calculate p.
-6, 0, 3/5, 3
Suppose 19*s - 58 = -58*s + 96. Let 10 + 1/2*f - 1/2*f**s = 0. What is f?
-4, 5
Let o = -69/320 - -33/64. Let u(b) be the third derivative of -1/200*b**6 + 0 + 0*b + o*b**3 - 3/100*b**5 + 1/40*b**4 + 4*b**2. What is s in u(s) = 0?
-3, -1, 1
Let p(x) be the third derivative of x**6/132 - 43*x**5/330 + 2*x**4/11 - 3117*x**2. What is g in p(g) = 0?
0, 3/5, 8
Suppose 0 = -2*m - 2 - 0, -5*m - 50 = -5*x. Let s = x + -7. Find n, given that -n**4 + 4*n**3 - n**5 - 10*n**s - n**3 + 2*n + 15*n**2 = 0.
-1, 0, 2
Let t(g) = 2*g + 28. Let d be t(-12). Suppose -d*u + 28 - 12 = 0. Factor 0*j - j**2 + 0 - 49/4*j**5 - 8*j**3 - 77/4*j**u.
-j**2*(j + 1)*(7*j + 2)**2/4
Let x be (28 + 12 - 64)/((-30)/8*15). Let d(t) be the third derivative of x*t**5 + 0*t + 3/5*t**3 + 14*t**2 + 4/5*t**4 + 0. Factor d(u).
2*(8*u + 3)**2/5
Let a(t) be the third derivative of -2*t**7/21 + t**6/20 + 5*t**5/12 + t**4/2 + 29*t**3 - 2*t**2 + 20*t. Let v(s) be the first derivative of a(s). Factor v(h).
-2*(h - 1)*(5*h + 2)*(8*h + 3)
Let p = -75 - -53. Let k be ((-14)/(-4))/((-11)/p). Factor -k*f**3 + 2*f**3 + 4*f**2 - 6*f**2 - 8*f**2.
-5*f**2*(f + 2)
Determine c, given that -264*c**2 - 640 - 22*c**3 + 47*c**3 + 128*c + 428*c + 148*c - 2*c**4 + 15*c**3 = 0.
2, 4, 10
Fac