 + 2/3*n**2 - 2/3*n**5 + 0.
-2*n**2*(n - 1)**3/3
Let m be (-20 + 18)*(-18)/(-2). Let d be ((-2)/m)/(1/4). Find s such that -2/9*s**2 - d - 2/3*s = 0.
-2, -1
Let z(q) be the second derivative of 1/10*q**5 + 2*q + 0*q**2 + 0 + 0*q**3 + 1/12*q**4 + 1/30*q**6. Factor z(w).
w**2*(w + 1)**2
Let z be ((-2)/7)/((-20)/(-50)) + 1. Suppose -2/7*b**2 - z - 4/7*b = 0. Calculate b.
-1
Let i(v) be the first derivative of 0*v - 1/70*v**5 + v**2 + 5/84*v**4 + 2 - 2/21*v**3. Let x(h) be the second derivative of i(h). Let x(z) = 0. What is z?
2/3, 1
Let s = 112/39 - -6/13. Let n(t) be the first derivative of -2*t**4 + s*t**3 - 1 + 0*t - t**2. Factor n(r).
-2*r*(r - 1)*(4*r - 1)
Let n(c) be the third derivative of -c**5/15 + 5*c**4/6 - 4*c**3 + 25*c**2. What is p in n(p) = 0?
2, 3
Let x be -1 - 2/(6/(-9)). Let l(i) be the first derivative of -1/3*i**3 - i - 1 - i**x. What is f in l(f) = 0?
-1
Suppose 0 = p + 3 - 5. Let x = -2 + p. Let 7*n + 1 + 3*n**2 + 2*n**3 + x - 3*n + 2*n**2 = 0. What is n?
-1, -1/2
Let s(j) be the first derivative of j**5/40 - j**4/48 - j**3/6 - j**2 + 3. Let m(x) be the second derivative of s(x). Factor m(b).
(b - 1)*(3*b + 2)/2
Solve 5/7*b - 1/7*b**2 - 4/7 = 0.
1, 4
Let q(p) be the first derivative of -p**5/80 + p**4/16 - p**3/12 - 4*p + 2. Let k(r) be the first derivative of q(r). Suppose k(n) = 0. What is n?
0, 1, 2
Let p(s) be the first derivative of -s**5/3 - 5*s**4/12 + 10*s**3 + 130*s**2/3 + 200*s/3 - 25. Factor p(g).
-5*(g - 5)*(g + 2)**3/3
Factor -14*m**2 - 3 - 8*m + 6*m**2 - 13 + 7*m**2.
-(m + 4)**2
Let f(y) be the third derivative of -y**9/30240 + y**8/4480 - y**7/1680 + y**6/1440 - y**4/12 - y**2. Let k(h) be the second derivative of f(h). Factor k(b).
-b*(b - 1)**3/2
Let c(m) = 9*m**2 - 5*m. Let d(q) = -4*q**2 + 2*q. Suppose -10 = -2*n, -2*b - 2*n = -0*b - 14. Let h = -9 - -14. Let p(a) = b*c(a) + h*d(a). Factor p(x).
-2*x**2
Let r(m) = -2*m**2 + 8*m - 2. Let d(b) = 6*b**2 - 23*b + 6. Let q(v) = -4*d(v) - 11*r(v). Factor q(x).
-2*(x - 1)**2
Let y be -2 + 2 + 5 + 155. Let s be 4/(-26) + y/195. Let 4/3*l**2 + 2*l + 2*l**5 - 2/3*l**4 - s - 4*l**3 = 0. What is l?
-1, 1/3, 1
Let x(y) = y**3 - y**2 - 2*y - 2. Let z be x(0). Let c(r) = r - 7*r**2 - 3 + r**2 + 6. Let p(t) = -5*t**2 + t + 2. Let k(a) = z*c(a) + 3*p(a). Factor k(l).
-l*(3*l - 1)
Suppose -7*f**3 + 2*f**3 - 1 + 11*f**2 - 9*f + f**2 + 3 = 0. Calculate f.
2/5, 1
Let b = 4037/5 + -807. Determine z, given that -b*z**2 + 4/5*z - 2/5*z**3 + 0 = 0.
-2, 0, 1
Let n(b) be the third derivative of b**8/43680 + b**7/16380 - b**6/4680 - b**5/780 - b**4/4 - 3*b**2. Let v(p) be the second derivative of n(p). Factor v(u).
2*(u - 1)*(u + 1)**2/13
Let x(i) be the third derivative of -i**7/21 - 7*i**6/24 - 3*i**5/4 - 25*i**4/24 - 5*i**3/6 - 7*i**2. Solve x(u) = 0.
-1, -1/2
Let k(y) be the first derivative of 2*y**5/5 + y**4/8 - 2*y**3 - 11*y**2/4 - y - 30. Let k(x) = 0. Calculate x.
-1, -1/4, 2
Suppose 2*q + 3*q = 0. What is g in 2*g**3 + g + 1 - 3*g + q - 2*g**2 + 1 = 0?
-1, 1
Let b(u) = -14*u**2 + 48*u - 88. Let d(k) = -9*k**2 + 32*k - 59. Let n(z) = -5*b(z) + 8*d(z). Factor n(v).
-2*(v - 4)**2
Let w = 7 - 2. Let 7*n**3 - 1 - 3*n + n + 3 - w*n - 2*n**2 = 0. What is n?
-1, 2/7, 1
Let h(s) = -s**2 - 9*s + 8. Let o be h(-9). Suppose -4 + 2 + 2*g - 4*g**3 - 2 + o*g**2 - 4*g**4 + 2*g**5 = 0. What is g?
-1, 1, 2
Let x(z) be the first derivative of -z**4/2 + 2*z**3 + z**2 - 6*z - 2. Determine t, given that x(t) = 0.
-1, 1, 3
Factor 16/7*q + 16/7 + 4/7*q**2.
4*(q + 2)**2/7
Let t(f) be the third derivative of 2*f**7/315 - f**6/15 + 13*f**5/45 - 2*f**4/3 + 8*f**3/9 - 20*f**2. Suppose t(z) = 0. Calculate z.
1, 2
Let s(l) = 3*l**4 - 18*l**3 - 3*l**2 + 27*l + 9. Let v(a) = -2*a**4 + 9*a**3 + 2*a**2 - 14*a - 5. Let u(t) = 5*s(t) + 9*v(t). Factor u(f).
-3*f*(f - 1)*(f + 1)*(f + 3)
Factor 196/5*y**2 - 56/5*y + 16/15 - 686/15*y**3.
-2*(7*y - 2)**3/15
Let l = 47 + -469/10. Let v(y) be the second derivative of 3*y + l*y**6 + 1/2*y**4 + 1/2*y**3 + 3/10*y**2 + 3/10*y**5 + 0 + 1/70*y**7. Factor v(r).
3*(r + 1)**5/5
Let j(v) be the first derivative of 7 - v**2 - 4*v + 2/3*v**3. Factor j(n).
2*(n - 2)*(n + 1)
Let g(s) be the first derivative of 0*s**4 + 8 + 4/5*s**5 + 0*s**3 - 2/3*s**6 + 0*s**2 + 0*s. Find u such that g(u) = 0.
0, 1
Suppose -5/4 - 7/4*q**2 - 11/4*q - 1/4*q**3 = 0. What is q?
-5, -1
Let x(n) be the second derivative of -1/48*n**4 - 1/12*n**3 + 0*n**2 + 9*n + 0. Factor x(a).
-a*(a + 2)/4
Let r(j) = j - 12. Let d be r(11). Let i be (-21)/(-12) - d/4. Factor 0 - 2/3*u**i - 2/3*u.
-2*u*(u + 1)/3
Suppose 0 + 15/4*o**2 - 1/2*o = 0. Calculate o.
0, 2/15
Let w = -237 - -240. Factor 3/2*g**2 + 2 - 1/4*g**w - 3*g.
-(g - 2)**3/4
Let g = 18 - 10. Let y(h) = 2*h**3 - 26*h**2 - 10*h + 2. Let t(x) = x**3 - 17*x**2 - 7*x + 1. Let o(s) = g*t(s) - 5*y(s). Factor o(w).
-2*(w + 1)**3
Let w(c) be the first derivative of -c**6/3 + 8*c**5/5 - 5*c**4/2 + 4*c**3/3 + 2. What is j in w(j) = 0?
0, 1, 2
Let i(k) be the third derivative of k**7/140 - k**6/120 - k**5/40 + k**4/24 - 5*k**2. Factor i(w).
w*(w - 1)*(w + 1)*(3*w - 2)/2
Let i be (-5)/6*14/(-140). Let o(z) be the first derivative of -1/6*z**2 + 0*z + 1 + i*z**4 - 1/9*z**3 + 1/15*z**5. Factor o(f).
f*(f - 1)*(f + 1)**2/3
Let n(j) = -j**2 + 1. Let l(k) = 26*k**2 + 20*k + 3. Let t(f) = l(f) + n(f). Factor t(x).
(5*x + 2)**2
Let a be 12/(-14)*70/(-15). Let l be a/6*4/12. Factor -4/9*s - 2/9*s**2 - l.
-2*(s + 1)**2/9
Suppose 2*n + 5 = 3*m, -m = m - 3*n. Factor -m*w - 3*w - 19*w**2 + 22*w**2.
3*w*(w - 2)
Let f(q) be the first derivative of 35*q**4/4 - 2*q**3 - 18*q**2/7 + 8*q/7 - 12. Factor f(r).
(5*r + 2)*(7*r - 2)**2/7
Let r = -61/24 - -23/8. Suppose -2/3*p**3 - 1/3*p**2 + 0*p - r*p**4 + 0 = 0. What is p?
-1, 0
Let w(f) be the third derivative of -2*f**7/945 + f**6/54 - f**5/15 + 7*f**4/54 - 4*f**3/27 - 29*f**2. Suppose w(k) = 0. What is k?
1, 2
Suppose -3*h = -2*f + 28, 3*f - 48 = 2*h + h. Suppose 5*l + 3*c + c = f, -3*c - 16 = -4*l. What is s in 2/3*s**l + 0*s**2 - 4/3*s**3 - 2/3 + 4/3*s = 0?
-1, 1
Let m(u) = -u - 2. Let q(y) = -y**2 + 6*y + 16. Let c(o) = -21*m(o) - 3*q(o). Factor c(s).
3*(s - 1)*(s + 2)
Suppose 21*u + 17*u = 0. Let -1/4*t**3 - 3/4*t**2 + u*t + 0 = 0. What is t?
-3, 0
Let b(h) = -5*h**4 + 61*h**3 + 109*h**2 + 93*h + 37. Let w(m) = -2*m**4 + 30*m**3 + 54*m**2 + 46*m + 18. Let k(x) = 6*b(x) - 13*w(x). Let k(o) = 0. What is o?
-3, -1
Let w(r) = r**2 + 1. Let z be w(1). Suppose x**3 + 5*x**2 - 3*x**z + x + x**3 - 3*x - 2 = 0. Calculate x.
-1, 1
Let n(d) = 6*d**4 - 6*d**3 + 18*d**2 - 14*d. Let f(m) = 7*m**4 - 5*m**3 + 18*m**2 - 14*m - 1. Let s(l) = 4*f(l) - 5*n(l). Suppose s(z) = 0. What is z?
1, 2
Let g(i) = 5*i**2 + 94*i - 875. Let b(m) = -2*m**2 - 31*m + 292. Let l(t) = -8*b(t) - 3*g(t). Let l(s) = 0. What is s?
17
Let o(i) be the second derivative of i**5/5 + i**4 + 2*i**3 + 2*i**2 - 4*i. Factor o(r).
4*(r + 1)**3
Let g(s) = s**4 - 8*s**3 + 6*s**2 + 2*s - 1. Let t(i) = i**3 - i**2. Let f(m) = g(m) + 6*t(m). Factor f(l).
(l - 1)**3*(l + 1)
Let h(f) be the second derivative of f**7/63 - 2*f**6/45 + f**5/30 + 2*f. Factor h(s).
2*s**3*(s - 1)**2/3
Let u be 13/(-1*(-2)/2). Let j = -8 + u. Let 0*o - 1/2*o**3 + o**4 + 0*o**2 + 0 - 1/2*o**j = 0. Calculate o.
0, 1
Let q(c) be the third derivative of c**5/12 - 5*c**4/12 + 18*c**2. Factor q(k).
5*k*(k - 2)
What is d in 0*d**2 - 12*d**3 - 8*d**5 + 2*d**2 + 1 - 1 + 18*d**4 = 0?
0, 1/4, 1
Factor -2 - 28*b + 50*b + 2*b**2 - 22*b.
2*(b - 1)*(b + 1)
Factor 10 - 12 - 52*f + 10 + 96*f**2 - 28*f**3 - 40*f**3 + 16*f**4.
4*(f - 2)*(f - 1)**2*(4*f - 1)
Let t = 0 - 0. Let j be (0 - (-10)/(-5)) + (-6 - -12). What is i in 2/3*i**2 + 2/3*i**j + 0*i + t - 4/3*i**3 = 0?
0, 1
Let q = -287/3 - -96. Factor q*k**2 - 2*k + 3.
(k - 3)**2/3
Let h be (-57)/(-108) - 10/(-45). Find o, given that 3/4*o**2 + 1/4 + 1/4*o**3 + h*o = 0.
-1
Let k(i) be the second derivative of i**4/42 - i**3/21 - 2*i**2/7 - 18*i. Factor k(c).
2*(c - 2)*(c + 1)/7
Factor 3*b**2 + 16*b - 10 - 21*b + 2*b**2.
5*(b - 2)*(b + 1)
Let n be 4/12 + (-10)/(-6). Factor s + 3*s - 2 + n*s**2 - 4*s.
2*(s - 1)*(s + 1)
Let j(v) be the third derivative of 0 - 1/20*v**4 + 0*v + 1/100*v**5 + 1/200*v**6 + 2*v**2 + 0*v**3. Solve j(u) = 0 for u.
-2, 0, 1
Let u(b) be the second deriv