*3 - g*s - 2*s**2 - s - 2*s = 0. Calculate s.
-1/2, 0, 2/3
Let q(m) be the third derivative of -m**6/210 + 2*m**5/15 - 65*m**4/42 + 200*m**3/21 + 2*m**2 - 5. Factor q(w).
-4*(w - 5)**2*(w - 4)/7
Let n(f) be the second derivative of f**6/195 - f**5/130 - 5*f**4/78 - f**3/13 + 62*f. Find g, given that n(g) = 0.
-1, 0, 3
Let j(y) be the first derivative of -7*y**4 + 32*y**2 + 16*y + 20/3*y**3 + 17. Determine z, given that j(z) = 0.
-1, -2/7, 2
Let z(b) be the second derivative of 5*b**4/24 + 5*b**3/6 + 5*b**2/4 - 10*b - 20. Solve z(m) = 0.
-1
Factor 18/5*b**2 + 0*b - 3*b**4 + 0 + 39/5*b**3.
-3*b**2*(b - 3)*(5*b + 2)/5
Let s(g) = 480*g**3 + 303*g**2 - 190*g - 6. Let c(h) = 160*h**3 + 101*h**2 - 63*h - 2. Let v(f) = 7*c(f) - 2*s(f). Find q, given that v(q) = 0.
-1, -1/32, 2/5
Let 4*m**2 - 116*m + 245 - 5*m**3 + 30*m**2 + 41*m**2 - 96*m - 103*m = 0. What is m?
1, 7
Let c be (15/75)/((-4)/(-10)). Let o(q) be the second derivative of -3/20*q**5 + c*q**3 - q - 1/2*q**4 + 3*q**2 + 0. Factor o(w).
-3*(w - 1)*(w + 1)*(w + 2)
Let f(l) = 15*l**2 - 505*l - 100. Let s(x) = -40*x**2 + 1010*x + 200. Let r(c) = 9*f(c) + 4*s(c). Let r(o) = 0. Calculate o.
-20, -1/5
Let v = 91 + -89. Suppose 3*p = -s + 3, v*s - 12 = -5*p - 2*s. Suppose 0*u + 3/5*u**3 + p - 1/5*u**4 - 2/5*u**2 = 0. Calculate u.
0, 1, 2
Factor 3*b**5 - 15*b**4 + 224*b - 24*b**3 + 288*b**2 + 3*b**5 + 64 + 104*b**3 + 67*b**4 + 96*b**3.
2*(b + 2)**4*(3*b + 2)
Suppose -54*c + 90 = 2*q - 56, -33 = -3*c + 3*q. Suppose -3/5*p**4 + 0*p + 0 - 3/5*p**c + 0*p**2 = 0. Calculate p.
-1, 0
Let z(f) = f - 15. Let l be z(18). Let h be (-42)/8*(-36)/42 - l. Factor -h - 3/4*w**2 + 9/4*w.
-3*(w - 2)*(w - 1)/4
Let j(q) be the second derivative of -q**5/10 + q**3/3 - 189*q. Determine h, given that j(h) = 0.
-1, 0, 1
Determine u, given that 54 - 60*u**2 + 59*u - 10*u - 10*u**4 - 56*u**3 - 4*u + 27*u = 0.
-3, -3/5, 1
Let w(z) = 5*z**4 - 70*z**3 + 245*z**2 - 340*z + 165. Let a(t) = 5*t**4 - 71*t**3 + 246*t**2 - 340*t + 166. Let o(f) = 5*a(f) - 6*w(f). Factor o(s).
-5*(s - 8)*(s - 2)**2*(s - 1)
Let l(m) be the first derivative of -5*m**3/9 + 47*m**2/6 + 10*m + 305. Determine f so that l(f) = 0.
-3/5, 10
Let n be ((-29)/1595)/(1/(-5)). Let m(p) be the first derivative of 0*p + n*p**2 + 10/33*p**3 + 8. Find f, given that m(f) = 0.
-1/5, 0
Let f be (-1)/3*(-9)/1. Let d = -115/87 - -48/29. Factor 0*k + 0 + d*k**f + 2/3*k**2.
k**2*(k + 2)/3
Let o = -57 + 59. Suppose o = -2*b + c, 2*b + c - 6*c + 10 = 0. Find h such that 0*h**2 + b + 1/6*h**3 + 0*h = 0.
0
Let l(u) = 10*u**3 - 79*u**2 - 10*u + 18. Let a be l(8). Factor -a*y**2 - 2 - 20/3*y.
-2*(y + 3)*(3*y + 1)/3
Let w = 1315 - 1315. Let q(j) be the second derivative of 2*j**2 + w + j**3 + 12*j + 1/6*j**4. Factor q(z).
2*(z + 1)*(z + 2)
Let s(o) be the first derivative of -9*o - 1/10*o**5 - 5 - 1/30*o**6 + 1/2*o**2 + 1/3*o**3 + 0*o**4. Let u(x) be the first derivative of s(x). Factor u(j).
-(j - 1)*(j + 1)**3
Let q(k) = -15*k**2 - 53*k - 7. Let d(l) = -5*l**2 - 18*l - 2. Let m(t) = 7*d(t) - 2*q(t). Factor m(p).
-5*p*(p + 4)
Let p(q) = 13*q**4 + 55*q**3 - 29*q**2 - 94*q + 48. Let n(o) = 7*o**4 + 27*o**3 - 15*o**2 - 46*o + 24. Let b(a) = -7*n(a) + 3*p(a). Let b(w) = 0. What is w?
-2, 3/5, 1
Let t(p) = -2*p**4 + 89*p**3 - 142*p**2 + 70*p + 3. Let j(i) = 7*i**4 - 264*i**3 + 427*i**2 - 210*i - 8. Let u(r) = -3*j(r) - 8*t(r). Factor u(y).
-5*y*(y - 14)*(y - 1)**2
Suppose 3*n - 5*b + 24 = 0, -8 = -9*n + 8*n - b. Find h such that -1/4*h**n + 1 + 3/4*h = 0.
-1, 4
Let -416/7*p + 10816/7 + 4/7*p**2 = 0. Calculate p.
52
Let n(h) = 30*h - 5*h**2 + 7*h + 41*h**2 + 35 + 26*h**3 - 9*h. Let j(m) = 9*m**3 + 12*m**2 + 9*m + 12. Let d(a) = 17*j(a) - 6*n(a). Factor d(o).
-3*(o + 1)**2*(o + 2)
Let v(c) be the first derivative of -18 - 4/9*c**3 + 0*c - 1/2*c**2 - 1/12*c**4. Determine i, given that v(i) = 0.
-3, -1, 0
Let h be ((-6)/(-5))/(4/(-20)). Let p be (h/9)/(4/(-18)). Determine r, given that r**2 + 4*r**3 - 6*r**3 - p + 3 + r**4 = 0.
0, 1
Suppose 30*s - 5 + 5*s**3 + 30*s - 35 - 30*s**2 = 0. What is s?
2
Let q(l) be the first derivative of -7*l**6/9 - 44*l**5/15 - 17*l**4/6 - 4*l**3/9 - 354. What is u in q(u) = 0?
-2, -1, -1/7, 0
Let c(p) be the first derivative of -2 + 0*p**5 + 0*p**3 + 0*p**2 - 1/3*p**6 + 1/2*p**4 + 0*p. Factor c(j).
-2*j**3*(j - 1)*(j + 1)
Suppose 6 = -2*i + 10. Let q(l) be the second derivative of 0 - 1/2*l**4 + l**i - 2/3*l**3 - 5*l. Factor q(d).
-2*(d + 1)*(3*d - 1)
Suppose -3*l + 5*q = -3, -3*l + l - 5*q = -2. Suppose -2*y + 5 = -4*y - 3*u, 3*u = -5*y + l. Factor 0*h + 2/7*h**y + 0.
2*h**2/7
Let a(l) be the third derivative of -l**7/11340 + l**6/3240 + l**5/270 + 3*l**4/4 - l**3/6 - 19*l**2. Let x(f) be the second derivative of a(f). Solve x(g) = 0.
-1, 2
Suppose 4*v - 120 = 9*v. Let n(k) = k**5 + k**3 - k + 1. Let y(a) = 11*a**5 - 17*a**4 + 2*a**3 - 8*a + 8. Let j(q) = v*n(q) + 3*y(q). Factor j(t).
3*t**3*(t - 6)*(3*t + 1)
Let p = -553/90 + 31/5. Let g(s) be the first derivative of -4/45*s**5 - 5 - 7/9*s**2 + 4/9*s + 4/9*s**3 + p*s**4. Suppose g(k) = 0. Calculate k.
-2, 1/2, 1
Let w(f) be the second derivative of f**6/40 + 21*f**5/80 + 11*f**4/16 + 5*f**3/8 - 20*f. Factor w(m).
3*m*(m + 1)**2*(m + 5)/4
Let h(v) = -17*v**2 + 53*v - 70. Let d(a) = -11*a**2 + 35*a - 46. Let k(j) = -8*d(j) + 5*h(j). Determine l, given that k(l) = 0.
2, 3
Let f(r) = -4*r + 3*r + 4*r + 5 + r**2 + 2*r**2. Let m be f(-2). Factor z**3 + m*z + 12*z - 24*z.
z*(z - 1)*(z + 1)
Let u be (-109)/(34335/54)*14/(-6). Factor -u*h**2 + 8/5 - 6/5*h.
-2*(h - 1)*(h + 4)/5
Let g(i) be the first derivative of i**3/3 - 22*i**2 + 183. Factor g(j).
j*(j - 44)
Let m(n) = -3*n**3 + 47*n**2 + 8*n + 130. Let y be m(16). Suppose 5/2*v + 3/2 - 1/2*v**3 + 1/2*v**y = 0. What is v?
-1, 3
Let d(t) be the second derivative of -t**7/1260 - 2*t**6/135 - 4*t**5/45 - 7*t**3/3 - 12*t. Let q(m) be the second derivative of d(m). Factor q(f).
-2*f*(f + 4)**2/3
Let o(b) = -16*b - b - 6*b + 40*b + 3 + 9*b**2. Let u(t) = 8*t**2 + 16*t + 4. Let w(z) = -4*o(z) + 5*u(z). Suppose w(r) = 0. Calculate r.
-2, -1
Let x(k) = k**2 + k + 6. Let w be x(0). Let p = w - 4. Determine t so that 8*t + 3*t**2 + t**2 - 3*t**p + 4 + 3*t**2 = 0.
-1
Suppose -5*w - r + 13 = 0, -2*w + 0*r - 2*r + 10 = 0. Suppose 10 = 3*u + w*u. Factor -5*n + 0*n**u + 4*n**4 + 3*n**3 + n - 4*n**2 + n**3.
4*n*(n - 1)*(n + 1)**2
Determine m, given that -5/4*m - 1/2*m**2 + 3/4 - 1/4*m**4 - 1/4*m**5 + 3/2*m**3 = 0.
-3, -1, 1
Let w be (441/4900)/((24/(-10))/(-1)). Let k(a) be the second derivative of w*a**5 + 0 + 8*a - 1/4*a**2 + 1/12*a**4 - 1/24*a**3. Find i, given that k(i) = 0.
-1, 2/3
Let w be ((-2)/12)/1*-8. Let v = -3 + 5. Find b such that 14/3*b**3 + 2/3*b**4 + 2/3 - w*b**v - 7/3*b**5 - 7/3*b = 0.
-1, 2/7, 1
Let z(h) be the second derivative of h**5/5 + 10*h**4/3 - 2*h**3/3 - 20*h**2 + 424*h. Solve z(m) = 0.
-10, -1, 1
Solve 20/3 - 110/3*i**3 + 40/3*i**4 - 5/3*i**5 + 140/3*i**2 - 85/3*i = 0 for i.
1, 4
Factor 4*q**4 - 50*q**5 + 2*q**4 - 4*q**3 + 48*q**5.
-2*q**3*(q - 2)*(q - 1)
Let v(h) be the first derivative of 17*h + 8 - 1136*h**3 + 1134*h**3 + 7*h**2 - 5*h. Suppose v(a) = 0. What is a?
-2/3, 3
Factor 0 - 3/5*j**2 - 126/5*j.
-3*j*(j + 42)/5
Factor -35*s - 6*s**3 + 50*s**2 + s**3 - 68 - 16 - 14 + 8.
-5*(s - 9)*(s - 2)*(s + 1)
Suppose j + 19 - 37 = 0. Factor -2*f**2 - 3*f**3 - 3*f + j*f**2 - 10*f**2.
-3*f*(f - 1)**2
Factor 36/5*w**2 + 0*w - 1/5*w**4 - 7*w**3 + 0.
-w**2*(w - 1)*(w + 36)/5
Let z(s) = 27*s**2 + 12*s - 10. Suppose -18 = 4*v - 2*v. Let i be z(v). Solve 1617*h**4 + 528*h - 2474*h**2 - 3087*h**5 + 530*h**2 + i*h**3 + 115*h**3 - 48 = 0.
-1, 2/7, 2/3
Let b(d) = 3*d**3 - d + 2. Let x = -2 + 0. Let a(l) = l**2 + 4*l - l**3 - 3*l + 679 - 680. Let w(t) = x*b(t) - 4*a(t). Determine j, given that w(j) = 0.
-1, 0
Let l(n) be the first derivative of -3*n**5/100 + 3*n**4/20 - 3*n**3/10 + 3*n**2/10 - 8*n - 13. Let b(u) be the first derivative of l(u). Factor b(k).
-3*(k - 1)**3/5
Let t(f) be the first derivative of -f**6/60 - f**5/10 - f**4/8 + f**3/6 + 3*f**2/10 - 48. Determine m, given that t(m) = 0.
-3, -2, -1, 0, 1
What is d in -86*d**2 + 295*d**2 + 6*d - 84*d**2 + 30*d**3 - 2*d**3 - 76*d**2 - 15*d**4 = 0?
-1, -2/15, 0, 3
Let n be (-12 + -15*(-21)/28)/((-3)/8). Factor -4/