2)*(d + 1)*(3*d - 2)/5
Let b(w) = -9*w**4 - 17*w**3 - 25*w**2 - 7*w + 3. Let o(a) = 5*a**4 + 9*a**3 + 13*a**2 + 3*a - 2. Let g(n) = -4*b(n) - 7*o(n). Factor g(u).
(u + 1)**3*(u + 2)
Let t be (0 - -47)/1 + -3. Find l, given that -4*l**3 + 44*l**2 + 2*l**4 - t*l**2 = 0.
0, 2
Let v(f) = -37*f**4 - 26*f**3 + 45*f**2 + 18*f - 8. Let p(z) = 187*z - 369*z - 3 - 9*z**3 + 188*z - 12*z**4 + 15*z**2. Let u(m) = 8*p(m) - 3*v(m). Factor u(n).
3*n*(n - 1)*(n + 1)*(5*n + 2)
Suppose 2*u**2 - 10/3 + 1/3*u**3 + u = 0. Calculate u.
-5, -2, 1
Let v be 6462/468 - (-36)/(-117). What is k in 16/3*k - 2/3 - 41/6*k**2 - 113/6*k**3 + 15/2*k**4 + v*k**5 = 0?
-1, 2/9, 1
Let p(n) = -4*n**4 + 13*n**3 + n**2 - 5. Let s(a) = 2*a**4 - 7*a**3 - a**2 + 3. Let d(x) = -3*p(x) - 5*s(x). Factor d(h).
2*h**2*(h - 1)**2
Suppose 0*z = -3*z. Suppose 2*q - 6 + 4 = z. Factor -q + 2 - 1 - m**2 + m**4.
m**2*(m - 1)*(m + 1)
Solve -d**3 + 13*d**2 - 1 - 66*d - 30*d**2 + 1 = 0 for d.
-11, -6, 0
Let p be ((-1)/(-2) + -1)*-8. Let w = 13694 - 13689. What is b in 4/9 + 2/9*b**w + 32/9*b**2 + 2*b + 28/9*b**3 + 4/3*b**p = 0?
-2, -1
Determine z so that -8 + 2*z**5 - 8*z**4 + 8 + 29*z**3 - 12*z**2 - 51*z**3 = 0.
-1, 0, 6
Let n(d) = -11*d**3 + 151*d**2 + 211*d - 351. Let b(v) = 3*v**3 - 38*v**2 - 53*v + 88. Let h(s) = -9*b(s) - 2*n(s). Let h(c) = 0. What is c?
-2, 1, 9
Let n = -28 + 31. Find m, given that 3*m**3 - 6*m**2 + n*m**2 - 6*m**3 = 0.
-1, 0
Let a be ((-8)/(-5) - 2)*-5. Let i(f) be the first derivative of -11*f**2 + 12*f + 17*f**a + f**3 - 3 + 0. Factor i(y).
3*(y + 2)**2
Factor -4 - 3/2*z + 1/4*z**2.
(z - 8)*(z + 2)/4
Factor -27/4*b + 13/4 + 15/4*b**2 - 1/4*b**3.
-(b - 13)*(b - 1)**2/4
Let m(v) be the first derivative of -v**4/8 + 14*v**3/3 - 53*v**2/4 + 13*v - 929. Factor m(j).
-(j - 26)*(j - 1)**2/2
Find m such that 27/4*m**2 + 0 - 33/2*m + 3/4*m**3 = 0.
-11, 0, 2
Let r = 1009/2 + -467. Suppose 0 = -3*d - f - 106 + 105, 0 = 2*d - f - 11. Factor -15*t - 3/2*t**d - r.
-3*(t + 5)**2/2
Let w(k) = 7*k**2 - 4*k - 3. Let p be w(-1). Factor 16*i**3 - 8*i + 6*i**2 - 12*i**3 - p*i**3 + 6*i**2.
-4*i*(i - 2)*(i - 1)
Factor -16/3 - 190/9*q + 8/9*q**2.
2*(q - 24)*(4*q + 1)/9
Let j(f) be the second derivative of 1/15*f**3 + 0 - 7*f + 0*f**2 + 1/30*f**4. Solve j(h) = 0 for h.
-1, 0
Factor 7/2*j + 3/2 - 47/8*j**2 + 7/8*j**3.
(j - 6)*(j - 1)*(7*j + 2)/8
Let p be 4 + 4/1 - 4. Suppose 0 = p*y + 4*y - 16. Find z, given that -6 + 2*z + 100/3*z**y + 2*z**5 + 46/3*z**4 + 116/3*z**3 = 0.
-3, -1, 1/3
Let c = 2/6063 - -30307/24252. Factor -2*b**2 + 3/4*b**3 - c*b + 3/2.
(b - 3)*(b + 1)*(3*b - 2)/4
Let k = 17/135 + 2/27. Suppose -3 = -3*x - y, -5*x - 3 = -172*y + 175*y. Factor -4/5*q**2 - 2/5 - q - k*q**x.
-(q + 1)**2*(q + 2)/5
Let 0*v**3 - 134*v**2 + 4*v**3 + 142*v**2 - 12*v = 0. What is v?
-3, 0, 1
Let w(m) be the first derivative of -1/5*m**2 - 5 + 2/15*m**3 - 4/5*m. Factor w(f).
2*(f - 2)*(f + 1)/5
Let z be ((-24)/4 - -6) + 9/120. Let f(d) be the third derivative of 1/75*d**5 + 0*d - 5*d**2 + z*d**4 + 0 + 1/15*d**3. Factor f(k).
(k + 2)*(4*k + 1)/5
Let v(z) be the second derivative of -5*z**7/42 + 5*z**6/6 + 2*z**5 - 55*z**4/3 - 80*z**3/3 + 160*z**2 + 191*z. Suppose v(u) = 0. What is u?
-2, 1, 4
Let p(n) be the second derivative of 0*n**3 + 0*n**2 + 1/65*n**5 - 1/195*n**6 - 1/78*n**4 + 0 - n. Find q, given that p(q) = 0.
0, 1
Let n(b) be the second derivative of 3/5*b**5 + 0*b**2 - 13*b - 2/3*b**4 + 2/9*b**3 - 8/45*b**6 + 0. What is m in n(m) = 0?
0, 1/4, 1
Factor -40/7 - 4/7*c**3 - 68/7*c - 32/7*c**2.
-4*(c + 1)*(c + 2)*(c + 5)/7
Let m(t) be the first derivative of 2*t**6/69 - 14*t**5/115 + 7*t**4/46 - 4*t**3/69 - 11. Suppose m(c) = 0. Calculate c.
0, 1/2, 1, 2
Suppose 2*d = 4*d - 8. Suppose -f - d*k = 1, 2*k + 39 = 2*f + 3*f. Factor 1 + z + z - 6*z**2 + f*z**2.
(z + 1)**2
Let j(d) be the second derivative of d**4/16 + 123*d**3/4 + 45387*d**2/8 + 572*d. Factor j(s).
3*(s + 123)**2/4
Suppose 17*f - f - 48 = 0. Let q(z) be the first derivative of -z**4 - 4/7*z - 10/7*z**2 - 2 - 12/7*z**f - 8/35*z**5. What is p in q(p) = 0?
-1, -1/2
Let x(i) be the first derivative of 5/3*i**3 - 8*i**2 + 12 + 4*i + 25/4*i**4. Factor x(r).
(r + 1)*(5*r - 2)**2
Let g(c) be the second derivative of c**6/6 + c**5/4 - 35*c**4/4 - 75*c**3/2 - 344*c. Factor g(l).
5*l*(l - 5)*(l + 3)**2
Factor 0*l + 52/3*l**3 - 8*l**2 - 32/3*l**4 + 4/3*l**5 + 0.
4*l**2*(l - 6)*(l - 1)**2/3
Let b = -71/4 + 253/12. Solve 4/3*s**4 + b*s**3 + 2*s**2 - 2/3*s - 2/3 = 0.
-1, 1/2
Let o = -1281/55 + 131/5. Find d such that 2/11*d**2 + 16/11*d + o = 0.
-4
Let t(o) = 29*o**2 + 202*o - 7. Let c be t(-7). Find x such that -5/3*x**4 + c*x**3 + 0 + 0*x + 5/3*x**2 = 0.
-1, 0, 1
Let p(l) = -4*l + 44. Let m be p(11). Solve m - d**2 + 5 + d - 5 = 0 for d.
0, 1
Let a(m) be the third derivative of -m**5/75 + m**4/3 - 32*m**3/15 - 287*m**2. What is s in a(s) = 0?
2, 8
Let q(r) be the first derivative of -r**3/6 - r**2/4 + 3*r - 28. Suppose q(k) = 0. Calculate k.
-3, 2
Let f(w) be the third derivative of w**8/1848 + w**7/165 + 3*w**6/220 - 7*w**5/330 - 5*w**4/66 + 9*w**2. Find q, given that f(q) = 0.
-5, -2, -1, 0, 1
Let d(r) be the second derivative of -r**6/30 + 19*r**5/40 + 11*r**4/8 + r**3/12 - 11*r**2/4 + 3*r - 8. Let d(j) = 0. Calculate j.
-1, 1/2, 11
Solve 48 - 17*v**2 + 0*v**3 - 1/4*v**5 + 7/4*v**4 + 8*v = 0 for v.
-2, 3, 4
Suppose -18*f - 185 + 239 = 0. Determine w so that 1/2 - w**2 + 5/4*w - 5/2*w**f + 1/2*w**4 + 5/4*w**5 = 0.
-1, -2/5, 1
Let l(x) be the second derivative of x**4/78 - 14*x**3/39 + 40*x**2/13 - x - 120. Solve l(z) = 0 for z.
4, 10
Let w = -1 + 4. Determine h, given that 4*h**5 + 5*h**w - 13*h**5 - 3*h**3 + 7*h**5 = 0.
-1, 0, 1
Factor -72*v - 11 + 43 + 10*v**3 - 14*v**2 - 11*v**2 + v**2.
2*(v - 4)*(v + 2)*(5*v - 2)
Let o(h) be the first derivative of -h**4/3 - 7*h**3/6 + h**2 - 16*h + 8. Let m(g) be the first derivative of o(g). Suppose m(s) = 0. What is s?
-2, 1/4
Let b be (4/1)/((-10)/(-475)). Let l = b - 186. Find r, given that 0*r + 14/9*r**l + 0 + 2/9*r**2 - 2/3*r**5 - 10/9*r**3 = 0.
0, 1/3, 1
Let f(d) be the third derivative of -7*d**5/570 + 67*d**4/76 + 58*d**3/57 - 103*d**2. Find s such that f(s) = 0.
-2/7, 29
Determine p, given that -34*p**3 + 21*p**3 + 69120 + 360*p**2 + 8640*p + 18*p**3 = 0.
-24
Suppose 5*f - 30 = -5*m, 8*m - 3*m - 20 = 0. Let u = 161 + -2411/15. Factor u*k + 2/15*k**f + 2/15.
2*(k + 1)**2/15
Let w = -8429/9 + 937. Factor 2/9*c**3 + w*c + 0 + 2/3*c**2.
2*c*(c + 1)*(c + 2)/9
Let k(x) = x**3 - 14*x**2 + 12*x + 18. Let b be k(13). Suppose 5*m = b + 5. Factor -3*c + c**m + 6 - c**2 + 2*c**2 - 5*c**2.
-3*(c - 1)*(c + 2)
Let f = 17388 - 69551/4. Factor 1/8*o**2 - f*o - 3/8.
(o - 3)*(o + 1)/8
Let c(x) be the second derivative of -x**6/180 + x**4/3 + 4*x**3/3 + x. Let w(p) be the second derivative of c(p). Factor w(b).
-2*(b - 2)*(b + 2)
Let j(u) = u**4 - 1. Let w(x) = 24*x**4 - 4*x**3 - 6*x**2 + 16*x - 30. Let y(o) = -44*j(o) + 2*w(o). Let y(f) = 0. Calculate f.
-2, 1, 2
Let f = 6357/5 - 1269. Suppose f - 9/5*c - 3/5*c**2 = 0. What is c?
-4, 1
Let x(d) = d - 11. Let u be x(13). Suppose 0*a + 5*g + 37 = u*a, 3*a + 2*g = 8. Suppose 3*p**5 - 4*p + 6*p**4 + 0*p**2 - a*p**2 + 0*p**5 + p = 0. What is p?
-1, 0, 1
Let b(m) be the first derivative of 0*m**2 - 1/12*m**4 - 2 - 4*m - 1/30*m**6 + 1/10*m**5 + 0*m**3. Let g(j) be the first derivative of b(j). Factor g(a).
-a**2*(a - 1)**2
Determine p so that 8/13*p + 0 + 32/13*p**2 + 14/13*p**3 = 0.
-2, -2/7, 0
Factor 3/2*u**2 + 6*u - 63/2.
3*(u - 3)*(u + 7)/2
Let r = -29 - -33. Suppose 9*u - 50 = r*u. Factor -63*t - 7*t**2 + 78*t - u + 32*t**2.
5*(t + 1)*(5*t - 2)
Let d(r) = -r**3 + 19*r**2 + 18*r + 42. Let q be d(20). Let z(s) be the first derivative of -2/39*s**3 + 0*s + 2 - 2/13*s**q. Find v such that z(v) = 0.
-2, 0
Let -6*v + 602*v**3 - 608*v**3 - 22*v**2 + 14*v = 0. Calculate v.
-4, 0, 1/3
Let z be (-19)/(-95)*15/4 - 2/4. Factor -1/2 + z*w + 1/4*w**2.
(w - 1)*(w + 2)/4
Let j(n) be the third derivative of n**6/660 - n**5/330 - 2*n**4/33 + 4*n**3/11 - 16*n**2 + n. Suppose j(b) = 0. What is b?
-3, 2
Let r(p) be the first derivative of -p**6/30 + p**5/4 - 2*p**4/3 + 2*p**3/3 + 2*p - 2. Let a(w) be the first derivative of r(w). Factor a(b).
-b*(b - 2)**2*(b - 1)
Suppose 0 = 2*v + v. Suppose -