e of -2*k**5/35 + 23*k**4/14 - 80*k**3/7 - 144*k**2/7 + 4. Factor l(x).
-2*x*(x - 12)**2*(x + 1)/7
Let n(i) be the third derivative of -i**7/315 - 11*i**6/6 - 1210*i**5/3 - 332750*i**4/9 - 808*i**2. Let n(x) = 0. What is x?
-110, 0
Let a = 111 + -59. Factor -2*r**2 - 5 + 17 - 54*r + a*r.
-2*(r - 2)*(r + 3)
Suppose -10*u + 548 = -12*u. Let d = u - -277. Factor -1/3*c**2 - 1/3*c**d + 0 + 2/3*c.
-c*(c - 1)*(c + 2)/3
Let c = -1064 + 1068. Let a(p) be the third derivative of 0*p**3 + 0*p - 1/120*p**5 + 0 - 1/480*p**6 + 6*p**2 + 0*p**c. Determine b so that a(b) = 0.
-2, 0
Let m be (75/110 + 0)/(80/192). Factor 0 + 0*k**2 - 6/11*k**4 - 24/11*k + m*k**3.
-6*k*(k - 2)**2*(k + 1)/11
Let c(y) be the first derivative of y**4/12 + 56*y**3/9 + 279*y**2/2 + 486*y + 323. Factor c(b).
(b + 2)*(b + 27)**2/3
Determine d so that -32/5 - 193/10*d**2 + 24*d - 6*d**3 - 2/5*d**4 = 0.
-8, 1/2
Let n(p) be the second derivative of -p**4/54 + 11*p**3/27 - 8*p**2/3 - 39*p - 2. Factor n(m).
-2*(m - 8)*(m - 3)/9
Let o(f) be the second derivative of -10*f**5/3 + 10*f**4/9 - f**3/9 - 133*f. Factor o(b).
-2*b*(10*b - 1)**2/3
Factor -64/7*m - 8 - 2/7*m**3 - 22/7*m**2.
-2*(m + 2)**2*(m + 7)/7
Suppose t = -3*o + 134, -o - t = 4*o - 222. Let b be (-8)/o - 50/(-33). Factor 2/3*r**3 - 4/3*r**2 - 2/3*r + b.
2*(r - 2)*(r - 1)*(r + 1)/3
Let g be ((-145)/25 + 6)*-1 + 1. Factor 0*r - g*r**2 + 4/5.
-4*(r - 1)*(r + 1)/5
Let r(q) = -q**3 + q**2 - 2. Let l(a) = -6*a**3 - 16*a**2 - 135*a - 253. Let w(d) = l(d) - 5*r(d). Factor w(t).
-(t + 3)*(t + 9)**2
Let p(d) be the third derivative of -d**5/20 - 43*d**4/8 - 21*d**3 - 97*d**2. Let p(o) = 0. Calculate o.
-42, -1
Suppose 2*n + h = 13 - 1, 5*n + 2*h = 28. Suppose -1 = -5*x + 3*p - 0, 5*x = n*p - 2. Factor 5 + 9 - 14 + 3*k**x.
3*k**2
Let w(q) = -2*q**2 + 7*q - 4. Let h be w(4). Let i = 10 + h. Factor -6*v - 8*v**2 - 1 - 8*v - i + 7.
-2*(v + 2)*(4*v - 1)
Let w(l) = -l**3 + 5*l**2 - 3*l + 18. Let a be w(5). Factor -118*g - 3*g**3 - 3*g**3 + 110*g - 30*g**2 - g**a.
-g*(g + 4)*(7*g + 2)
Let t(f) be the first derivative of f**5/20 - 7*f**4/8 + 5*f**3 - 9*f**2/2 + 20. Let w(z) be the second derivative of t(z). Factor w(q).
3*(q - 5)*(q - 2)
Let i(c) be the third derivative of -1/6*c**4 - 1/84*c**8 + 1/15*c**6 - 18*c**2 + 0*c + 0*c**7 + 0*c**5 + 0 + 0*c**3. Factor i(b).
-4*b*(b - 1)**2*(b + 1)**2
Let s(g) = 1. Let k(f) = f**3 - 12*f**2 + 36*f - 2. Let y(b) = -k(b) - 2*s(b). Let y(t) = 0. Calculate t.
0, 6
Let v(o) be the first derivative of 2*o**3/3 + 15*o**2 - 32*o - 33. Factor v(f).
2*(f - 1)*(f + 16)
Factor 50*v + 1875 + 1/3*v**2.
(v + 75)**2/3
Let v(h) = -25*h**3 + 75*h**2 - 35*h + 5. Let g(b) = 12*b**3 - 37*b**2 + 17*b - 2. Let w(l) = -5*g(l) - 2*v(l). Solve w(a) = 0 for a.
0, 1/2, 3
Find z such that -12*z**3 + 41*z**3 - 16*z**3 - 17367*z + 6131*z - 17*z**3 - 424*z**2 = 0.
-53, 0
Suppose -63*o**2 - 53*o**2 - 1 + 170*o - 66*o**2 + 11*o**2 + 2 = 0. What is o?
-1/171, 1
Let b(m) = m**4 - 7*m**3 - 2*m**2 - 6*m. Let c(g) = -3*g**2 - 80*g + 79*g - g**3 + 3*g**2. Let f(j) = 5*b(j) - 30*c(j). Let f(o) = 0. What is o?
-1, 0, 2
Solve 1 + 36*y**2 - 79*y**2 - 32*y + 40*y**2 + 10 = 0.
-11, 1/3
Let f be 0 - 2 - (-36)/3. Let l = -8 + f. Factor 4 + 27*u**l - 6 + 12*u**3 + 18*u + 3 + 2.
3*(u + 1)**2*(4*u + 1)
Let z be 12/(-90)*3*2/(-8). Let d(i) be the third derivative of 3/40*i**6 + 0 + 0*i**3 + z*i**5 + 0*i**4 - 2*i**2 + 0*i + 1/70*i**7. What is p in d(p) = 0?
-2, -1, 0
Let q(c) = 24*c**2 + 188*c - 187. Let p(n) = -14*n**2 - 94*n + 93. Let g(k) = -5*p(k) - 3*q(k). Suppose g(a) = 0. What is a?
-48, 1
Let x(s) be the second derivative of s**6/105 - 2*s**5/35 + s**4/14 + 4*s**3/21 - 4*s**2/7 - 7*s + 2. Factor x(b).
2*(b - 2)**2*(b - 1)*(b + 1)/7
Suppose -3*f + 0*f = -18. Suppose -3*t = -5*w - 6, -3*t + f*t - 2*w = 6. Factor 0*c**t + 0 - 1/3*c**3 + 0*c.
-c**3/3
Let u = 735 - 733. Let m(f) be the first derivative of -9/10*f**5 - f**u + 11/6*f**3 + 3/4*f**4 + 3 - 2*f. Suppose m(d) = 0. Calculate d.
-2/3, 1
Let q(c) = -4*c**4 + 3*c**3 + 5. Let g = -566 - -551. Let k(z) = z**4 - 1. Let l = 4 - 7. Let v(p) = g*k(p) + l*q(p). Factor v(i).
-3*i**3*(i + 3)
Let c(i) = 2*i**2 - 35*i + 48. Let v(f) = f**2 - 18*f + 24. Let h(w) = -3*c(w) + 5*v(w). Let m be h(13). Solve -2/3*z**m + 0 + 2*z = 0 for z.
0, 3
Factor 729/2*p**2 + 2 + 54*p.
(27*p + 2)**2/2
Let s = 5/338 - -159/676. Factor -s*o**2 - 1/2 - 3/4*o.
-(o + 1)*(o + 2)/4
Let w(a) be the first derivative of -3*a**2/2 - 4*a + 2. Let g be w(-2). Factor r**g + 0*r**5 - 14*r**3 - r**5 + 15*r**3 - r**4.
-r**2*(r - 1)*(r + 1)**2
Let x = 223 - 123. Let v = 100 - x. Factor v + 1/5*o - 1/5*o**3 + 0*o**2.
-o*(o - 1)*(o + 1)/5
Let f(c) be the second derivative of -289*c**4/9 + 34*c**3/9 - c**2/6 + 77*c. Factor f(y).
-(34*y - 1)**2/3
Determine l, given that 2*l**2 - 75*l**4 - 23*l**3 + 70*l**4 - 67*l**3 - 2*l**2 = 0.
-18, 0
Let m(b) be the third derivative of b**7/70 - b**6/40 - b**5/20 + b**4/8 - 5*b**2 + 3*b. Find p, given that m(p) = 0.
-1, 0, 1
Factor -40*f**2 - 2*f**3 + 240*f + 5*f**3 + 2*f**3 - 320 + 52*f**2 - 72*f**2.
5*(f - 4)**3
Factor -3/2*q**2 + 12*q - 21/2.
-3*(q - 7)*(q - 1)/2
Let w(p) = p**3 + p**2 - 5*p. Let x(t) = -9*t + t + 2*t. Let k be x(-1). Let n(z) = z**3 - 2*z. Let a(u) = k*w(u) - 15*n(u). Factor a(q).
-3*q**2*(3*q - 2)
Let p = -426/17 + 1312/51. Solve -8/3*m + 2*m**2 + 0 + p*m**3 = 0.
-4, 0, 1
Let a be 70/21*(-12)/(-10). Suppose -a*h = -4 - 12. Factor 2*r**3 + 119*r**3 - 3*r**2 - 74*r**2 + 6*r - h - 46*r.
(r - 1)*(11*r + 2)**2
Let g(v) be the second derivative of v**5/35 - 5*v**4/42 + v**3/7 - 3*v + 18. Find l such that g(l) = 0.
0, 1, 3/2
Suppose 71 = -3*a + 77. Find w, given that -w - 1 + 2*w - a*w**2 + 3*w - 1 = 0.
1
Let w(x) be the second derivative of -9/5*x**5 + 0*x**2 + 0 + 1/3*x**4 + 22/15*x**6 + 11*x + 2/3*x**3 - 8/21*x**7. Factor w(a).
-4*a*(a - 1)**3*(4*a + 1)
Find p such that 0 + 62/5*p + 2/15*p**2 = 0.
-93, 0
Let a = 1327 - 1323. Factor -2/5*x**3 + 0*x**a + 0*x**2 + 1/5*x**5 + 1/5*x + 0.
x*(x - 1)**2*(x + 1)**2/5
Let r(a) be the first derivative of -33*a**5/5 + 27*a**4/4 + 2*a**3 + 75. Determine i so that r(i) = 0.
-2/11, 0, 1
Let p(h) = 8*h - 3. Let d be p(2). Determine i, given that d*i + 22 - i - 10 + 3*i**2 = 0.
-2
Let a(t) = 296*t + 2074. Let k be a(-7). Determine o, given that 4/11*o**3 + 6/11*o**k - 2/11*o**4 - 8/11 - 8/11*o = 0.
-1, 2
Let d(c) be the third derivative of c**6/120 + 3*c**5/4 + 161*c**4/8 - 529*c**3/6 - 2*c**2 + 100. What is m in d(m) = 0?
-23, 1
Let j(t) be the third derivative of -26*t**2 - 1/120*t**6 + 0*t + 1/6*t**4 + 0 + 1/15*t**5 - 1/210*t**7 + 0*t**3. Determine f so that j(f) = 0.
-2, -1, 0, 2
Let i be (12/16)/((-2)/(-8)). Find n, given that n**2 + 3 + 59*n + i - 54*n = 0.
-3, -2
Let x(y) = -2*y**3 + 12*y**2 + 5. Let c be x(6). Suppose 5*b**4 - 6*b**2 + 7*b**4 - 3*b + 3*b**c - 6*b**4 = 0. Calculate b.
-1, 0, 1
Let t be (0 - -41)*(-1 + 2). Factor 14*q**2 + 21*q**2 - 30 + 12*q + t*q + 42*q.
5*(q + 3)*(7*q - 2)
Let d(c) be the first derivative of c**5/20 - 7*c**4/16 - c**3/12 + 7*c**2/8 + 147. Factor d(l).
l*(l - 7)*(l - 1)*(l + 1)/4
Suppose 17*g - 12*g - 15 = 0. Let h(j) be the first derivative of 0*j + 0*j**g + 1/10*j**4 + 0*j**2 - 3. Factor h(u).
2*u**3/5
Suppose -4*z + 2 = -6*z. Let g be ((-3)/(-1) - (2 - z))/2. Factor 1/4*i - 1/4*i**2 + g.
-i*(i - 1)/4
Let w be 3 + 0 + -36 + (-6 - -3). Let t be 4*(21/w - (-3)/4). Factor t*d**3 + 0 - 1/3*d**2 + 0*d - 1/3*d**4.
-d**2*(d - 1)**2/3
Let a(h) be the second derivative of -h**7/210 + h**5/10 - h**4/3 - 7*h**3/3 - 10*h. Let y(d) be the second derivative of a(d). Solve y(s) = 0 for s.
-2, 1
Let i be (-3)/(-2) + 2/4. Let b = -35 + 35. What is p in 1/2*p**3 + 0*p**i - 1/2*p**4 + b*p + 0 = 0?
0, 1
Let h = 833/2 + -416. Let x(n) be the second derivative of 0 + n**2 + 5*n - h*n**4 + 1/9*n**3 - 3/10*n**5 - 2/45*n**6. Let x(p) = 0. What is p?
-3, -1, 1/2
Suppose 4*o + o - 10 = 0. Let h = -24 - -34. Factor -h*p**2 - 4*p - 8*p**3 - o*p**4 + 0*p + 0*p.
-2*p*(p + 1)**2*(p + 2)
Let j(x) = -59*x**3 + 136*x**2 - 81*x + 18. Let w(u) = 30*u**3 - 68*u**2 + 40*u - 8. Let m(q) = 3*j(q) + 7*w(q). Factor m(f).
(f - 1)**2*(33*f - 2)
Let v = -105653/5154 - 2/2577. Let s = -107/6 - v. Let 16/3*c**3 - 8/3*c**2 - 4/3*c + s*c**4 - 4*c**5 + 0 = 0. Calcu