*s**2 + 1977 - 1977 + 0*s**2.
-3*s*(s + 6)
Let f(x) be the second derivative of -1/90*x**4 + 0 - 11*x + 1/15*x**3 - 2/15*x**2. Factor f(g).
-2*(g - 2)*(g - 1)/15
Let s(m) be the third derivative of 0*m - 1/150*m**5 - 1/6*m**4 - 5/3*m**3 + 0 - 53*m**2. Determine j, given that s(j) = 0.
-5
Factor -5/11*m**4 + 8/11*m + 0 - 6/11*m**3 - 1/11*m**5 + 4/11*m**2.
-m*(m - 1)*(m + 2)**3/11
Let v = 96 + -87. Suppose 23 = 3*o - 16. Let u**4 - o*u**4 + v*u**2 + 8*u + 4*u + 3*u - 15*u**3 + 3 = 0. Calculate u.
-1, -1/4, 1
Let b(h) = -44*h**2 - 39*h - 7. Let l(w) = -88*w**2 - 79*w - 11. Let c(g) = 5*b(g) - 3*l(g). Factor c(x).
2*(x + 1)*(22*x - 1)
Suppose 4 = 107*z - 112*z + 2*d, z + 3*d = 6. Suppose -4/3*a**2 + 2/9*a**3 + z + 2*a = 0. What is a?
0, 3
Let c(a) be the second derivative of -a**7/105 + 16*a**6/75 - 99*a**5/50 + 146*a**4/15 - 80*a**3/3 + 192*a**2/5 - 2*a - 4. Suppose c(i) = 0. What is i?
1, 3, 4
Let r(w) be the third derivative of w**5/180 - 5*w**4/72 + 2*w**3/9 + 73*w**2 - 1. Let r(t) = 0. What is t?
1, 4
Factor -26 - 12*l**2 - 2*l + 4*l**3 + 6 - 34*l.
4*(l - 5)*(l + 1)**2
Let b(s) be the third derivative of 0*s + 0*s**4 + 1/80*s**6 - 1/448*s**8 + 11*s**2 + 0 + 0*s**3 - 1/280*s**7 + 0*s**5. Factor b(f).
-3*f**3*(f - 1)*(f + 2)/4
Let x = 50 - -10. Let p = 60 - x. Solve 1/4*q**2 + 3/4*q + p = 0 for q.
-3, 0
Let n(p) = p**2 - 16*p + 10. Let c be n(15). Let f be 5 + ((-45)/c)/(-3). Factor -1/2*d + 0 + 1/4*d**f.
d*(d - 2)/4
Let z(m) = 17*m**3 + 123*m**2 + 35*m - 5. Let h(p) = 16*p**3 + 123*p**2 + 34*p - 4. Let n(l) = -5*h(l) + 4*z(l). Find b such that n(b) = 0.
-10, -1/4, 0
Factor -6*q**3 + 3200/3 - 3680/3*q + 166*q**2.
-2*(q - 1)*(3*q - 40)**2/3
Let j = -72 + 87. Factor 15*p**2 + 3*p**4 + 2*p**4 - j*p**3 - 5*p - 3*p**4 + 3*p**4.
5*p*(p - 1)**3
Let u(r) be the first derivative of -r**4/20 + 27*r**3/5 - 1599*r**2/10 - 1681*r/5 - 385. Factor u(w).
-(w - 41)**2*(w + 1)/5
What is s in -192/7 - 4/7*s**2 - 8*s = 0?
-8, -6
Suppose -52*p = -53*p + 4. Let l(t) be the second derivative of 729/20*t**5 + 81/2*t**4 + 18*t**3 + 0 + p*t**2 + 5*t. Let l(s) = 0. Calculate s.
-2/9
Suppose 2*k + 5*o = 9 + 20, -4*k - o = -13. Let s be 13 + -11 + -2 + k. Solve -5*l**s - 13*l + 3*l**2 + 3 + 18*l = 0 for l.
-1/2, 3
Let x be 1*(-5)/(-25)*10. Let -532*s**x - 32 + 400*s**3 - 256*s + 2500*s**5 + 1043*s**4 - 28*s**2 + 1707*s**4 = 0. Calculate s.
-2/5, 1/2
Let s(p) be the second derivative of -p**5/90 + 2*p**4/9 - 7*p**3/9 - 98*p**2/9 - 186*p. Factor s(c).
-2*(c - 7)**2*(c + 2)/9
Let b = 50 + -46. Suppose 5*i - 4 = -5*d + 21, b*i - d - 15 = 0. Factor 0*p + 1/4*p**5 + 0*p**2 + 0 + 0*p**3 + 1/2*p**i.
p**4*(p + 2)/4
Let i(t) = -2*t**2 - 4356*t + 479610. Let o(z) = z**2 + 1742*z - 191844. Let q(u) = 5*i(u) + 12*o(u). Determine c, given that q(c) = 0.
219
Let m = -493 + 5917/12. Let r(f) be the second derivative of -1/90*f**6 + 5*f - 1/60*f**5 + 1/18*f**3 + m*f**4 - 1/3*f**2 + 0. Factor r(c).
-(c - 1)**2*(c + 1)*(c + 2)/3
Let c(b) be the third derivative of -30*b**2 + 2/105*b**5 - 19/42*b**4 + 0*b + 0 + 6/7*b**3. Factor c(l).
4*(l - 9)*(2*l - 1)/7
Suppose -3*p = -4*t + 10, 0 = 2*t - 3*p - 2 - 0. Factor -3*l + 2*l**4 + 4*l**3 + 2 - t - l.
2*(l - 1)*(l + 1)**3
Factor 27/5*r - 1/5*r**3 + 0*r**2 + 54/5.
-(r - 6)*(r + 3)**2/5
Solve -40/3*i**2 + 0 + 12*i + 40/3*i**4 - 4/3*i**5 - 32/3*i**3 = 0.
-1, 0, 1, 9
Let q(c) = -2*c**2 + 184*c - 358. Let m be q(90). Let 0*r**4 + 3*r**m + 0*r + 3/2*r**5 + 0 - 9/2*r**3 = 0. Calculate r.
-2, 0, 1
Let w(c) be the third derivative of 0*c + 0*c**3 + 1/6*c**4 + c**2 + 1/30*c**5 + 0. Factor w(r).
2*r*(r + 2)
Let a(t) be the second derivative of -t**7/28 + t**6/30 - t**5/120 + 402*t. Let a(l) = 0. Calculate l.
0, 1/3
Let o(b) = b**3 + 8*b**2 - 11*b - 4. Let y be o(-8). Suppose 84 + 3*d**3 - y - d**4 = 0. What is d?
0, 3
Let z(m) be the third derivative of -7/12*m**5 - 18*m**2 + 0*m - 25/24*m**4 + 0 + 5/3*m**3. Find r, given that z(r) = 0.
-1, 2/7
Let 4*n + 5*n**4 + 40*n**3 - 3*n + 38*n**2 + 22*n**2 - n = 0. What is n?
-6, -2, 0
Let h(j) = -11*j**2 + 106*j + 3021. Let g(w) = 3*w**2 + w + 1. Let n(v) = 12*g(v) + 3*h(v). Find x, given that n(x) = 0.
-55
Let m = 2217/5 + -443. Find c, given that -m*c**2 + 8/5*c - 8/5 = 0.
2
Let o(y) be the third derivative of y**8/26880 - y**7/5040 - 19*y**4/24 - 17*y**2. Let a(j) be the second derivative of o(j). Factor a(z).
z**2*(z - 2)/4
Let i(m) = -3*m**2 - 2*m - 4. Let q = -47 - -59. Let f(o) be the second derivative of -o**4/12 - o**3/6 - o**2/2 + 2*o. Let u(w) = q*f(w) - 3*i(w). Factor u(x).
-3*x*(x + 2)
Suppose 4*r - 30 = 5*p, r - 11 = 2*p + p. Factor -2 - 38*i**2 - 2*i**4 - 2*i**r + 42*i**2 - 2*i + 0*i**3 + 4*i**3.
-2*(i - 1)**2*(i + 1)**3
Let q(u) be the third derivative of 0*u**4 + 0*u**6 + 1/2*u**3 + 0*u + 0 - 1/10*u**5 - 3*u**2 + 1/70*u**7. Factor q(b).
3*(b - 1)**2*(b + 1)**2
Let p(y) be the second derivative of y**6/120 - 3*y**5/40 + y**4/4 - 19*y**3/6 - 29*y. Let j(f) be the second derivative of p(f). Determine n so that j(n) = 0.
1, 2
Factor -14/13*p**3 + 0 - 6/13*p**2 - 10/13*p**4 + 0*p - 2/13*p**5.
-2*p**2*(p + 1)**2*(p + 3)/13
Let t(d) be the first derivative of 1/2*d**6 + 13 - 1/4*d**3 + 0*d**2 - 6/5*d**5 + 15/16*d**4 + 0*d. Let t(b) = 0. What is b?
0, 1/2, 1
Let r(d) = -4*d**2 + 4*d - 18. Suppose 2*k + 3 = -4*v - 3*k, 2*v + 4*k = 0. Let g(x) = -x + 1. Let b(a) = v*r(a) - 28*g(a). Solve b(o) = 0 for o.
-2, -1/2
Suppose -5*d = 5*f - 15, 0 = f + d - 2*d - 5. Suppose -26 = -15*b + f. Let -6*c - 3/2*c**b - 6 = 0. Calculate c.
-2
Let s be 4*(4 + (-12)/8 + -2). Suppose -s*v + 4*y = -24, 0*v + 5*y = -3*v - 8. Factor 0 - 1/2*j**3 + 1/2*j**v - 1/2*j**2 + 0*j + 1/2*j**5.
j**2*(j - 1)*(j + 1)**2/2
Let l be 2536/(-9) - 6/27. Let g be 5 - l/(-54) - 28/(-45). Determine f, given that -2/5 - g*f**2 - 4/5*f = 0.
-1
Let z be 14/21 + (-87)/198. Let g = z + 9/154. Factor 0 - 2/7*v**3 + 2/7*v + g*v**4 - 2/7*v**2.
2*v*(v - 1)**2*(v + 1)/7
Let i(o) = -o**3 - 3*o**2 - 4*o - 3. Let v(g) = -2*g**3 - 5*g**2 - 8*g - 7. Let z(p) = 5*i(p) - 2*v(p). Let q be z(-5). Factor 22*h - h**2 - q*h + 4*h**2.
3*h*(h + 1)
Let u(k) be the second derivative of -k**4/18 - k**3/9 + 2*k**2/3 - 152*k. What is g in u(g) = 0?
-2, 1
Let p(u) be the third derivative of -u**5/270 - 13*u**4/9 - 676*u**3/3 + 486*u**2. Factor p(c).
-2*(c + 78)**2/9
Let w(u) be the second derivative of u**5 + 38*u**4/3 + 88*u**3/3 - 48*u**2 - 80*u - 2. Find s such that w(s) = 0.
-6, -2, 2/5
Let 55*c**2 + 47*c**4 - 3*c**3 + 2*c**5 - 54*c**4 - c**5 + 50*c = 0. Calculate c.
-2, -1, 0, 5
Let u = 3474 - 3474. Factor -2/9*l**2 + u + 10/9*l.
-2*l*(l - 5)/9
Determine y so that 0 + 1/2*y**4 + 0*y**2 + 67/2*y**3 + 0*y = 0.
-67, 0
Let d be (6/9)/(553/(-21)). Let o = 701/395 - d. Let -s**2 + o + 3/5*s + 1/5*s**3 = 0. Calculate s.
-1, 3
Let c(y) = 2*y**5 + 15*y**4 - 3*y**3 + 7*y**2 + 7. Let i(d) = -d**5 - 15*d**4 + 4*d**3 - 6*d**2 - 6. Let f(m) = -6*c(m) - 7*i(m). Factor f(n).
-5*n**3*(n - 2)*(n - 1)
Let h(n) = -5*n**3 + 10*n**2 + 29*n + 32. Let o(g) = -55*g**3 + 110*g**2 + 320*g + 350. Let i(y) = 65*h(y) - 6*o(y). Factor i(w).
5*(w - 4)*(w + 1)**2
Let d(t) = 4*t**2 + 10*t - 114. Let o(x) = 12*x**2 + 28*x - 344. Let y(q) = 8*d(q) - 3*o(q). Find a, given that y(a) = 0.
-6, 5
Let j(a) = -46*a + 18. Let g(l) = -l**3 - 14*l**2 + l + 9. Let x be g(-14). Let b be j(x). Find p, given that -2*p**2 + 4*p**3 - 2*p**3 + 250 - 2*p - b = 0.
-1, 1
Let f be ((-5)/3)/((-5)/405). Let i = f + -673/5. Factor 2/5*m**2 + 0 - i*m.
2*m*(m - 1)/5
Let u be 14 + (-10 + 9)*12. Factor -5/2 - 5/4*c**3 - 1/4*c**4 + 13/4*c + 3/4*c**u.
-(c - 1)**2*(c + 2)*(c + 5)/4
Let k = 167/10 - 33/2. Let -1/5*d - 2/5 + k*d**2 = 0. Calculate d.
-1, 2
Let w(i) be the third derivative of i**9/15120 - i**7/2520 - 5*i**4/8 + 15*i**2. Let n(q) be the second derivative of w(q). Let n(h) = 0. What is h?
-1, 0, 1
Let p = -10037/120 + 251/3. Let v(f) be the second derivative of 1/8*f**2 - 1/12*f**3 - 7*f + p*f**5 - 1/120*f**6 + 0 + 0*f**4. Factor v(n).
-(n - 1)**3*(n + 1)/4
Let i(h) be the first derivative of h**5/70 - 13*h**4/42 + 5*h**3/3 + 7*h**2 + 18*h - 46. Let m(l) be the first derivative of i(l). Factor m(s).
2*(s - 7)**2*(s + 1)/7
Let g = 11 + 4. Let w = -13 + g. Factor -2*a**5 + a**5 + 0*a**5 + 4*a**w - 2*a - 4*a**4 + 3*a**5.
2*a*(a - 