p - 14 = 10. Let c be 3/p - 21/(-4). Factor 0*i**3 + 1/4*i**c + 0*i**2 + 0 + 0*i + 1/4*i**4.
i**4*(i + 1)/4
Let a(d) be the second derivative of -d + 0*d**3 + d**2 - 1/60*d**5 + 0 + 1/24*d**4. Let m(y) be the first derivative of a(y). Factor m(g).
-g*(g - 1)
Factor -16/5*t**3 + 36/5*t**2 - 8/5*t + 0.
-4*t*(t - 2)*(4*t - 1)/5
Find j, given that -2*j + 20*j**2 + 9*j + 5*j + 3*j - 5*j**3 - 90 = 0.
-2, 3
Suppose 10*u - 215 = 9*u. Let o = 1937/9 - u. Find x, given that -4/9*x - o*x**4 + 2/9 + 0*x**2 + 4/9*x**3 = 0.
-1, 1
Suppose -7*l + 24 = -3*l. Suppose 0 = l*y - 7*y + 2. Solve 3/2*d**4 + 0*d + 2*d**3 + 1/2*d**y + 0 = 0.
-1, -1/3, 0
Let s(r) = 15*r**2 - 35*r + 40. Let n(p) = -8*p**2 + 17*p - 20. Let g(b) = -5*n(b) - 3*s(b). Suppose g(c) = 0. Calculate c.
2
Let v = 40 + -27. Let -16*s + 7 + v*s**2 + s**2 - 15 - 6*s**3 + 8*s**2 = 0. What is s?
-1/3, 2
Let q(z) be the second derivative of z**9/1512 - z**7/140 - z**6/90 - z**3/2 - z. Let j(p) be the second derivative of q(p). Solve j(a) = 0 for a.
-1, 0, 2
Let j be (-2)/5*20/(-18). Let 2/3*d + j + 2/9*d**2 = 0. Calculate d.
-2, -1
Let i(g) be the third derivative of 2*g**7/35 - g**6/6 + g**5/15 + g**4/6 - 2*g**2. Factor i(u).
4*u*(u - 1)**2*(3*u + 1)
Suppose -22 + 7 = 3*w, 0 = 3*i - 5*w - 46. Factor 4*k**5 + 12*k**4 - i*k**5 + 3*k**3 - 4*k**2 - 2*k**2 - 6*k**5.
-3*k**2*(k - 1)**2*(3*k + 2)
Suppose -2*y + 0 + 8 = 0. Determine s, given that -4*s**3 + 0*s**2 - 4*s**2 + s**y - 2*s**4 = 0.
-2, 0
Let d(f) = f**3 + 6*f**2 + 5*f. Let q be d(-5). Factor 1/3*j**2 - j**4 + 0*j + q*j**3 - 2/3*j**5 + 0.
-j**2*(j + 1)**2*(2*j - 1)/3
Factor -7/8*l + 1/8*l**3 - 3/4*l**2 + 0.
l*(l - 7)*(l + 1)/8
Let k(p) = p**2 + 2*p + 1. Let x be k(-3). Suppose -16*f**4 + 3*f**3 + 8*f - f**3 - 8*f + 10*f**5 + x*f**2 = 0. Calculate f.
-2/5, 0, 1
Let w(l) be the second derivative of 1/2*l**3 - 3*l**2 + 1/2*l**4 + 0 - 3/20*l**5 - 4*l. Suppose w(m) = 0. Calculate m.
-1, 1, 2
Let f(w) be the third derivative of -4*w**5/75 - 23*w**4/30 + 4*w**3/5 + 15*w**2. Factor f(s).
-4*(s + 6)*(4*s - 1)/5
Suppose -2*p + 5*a = 4, 5*p + 5*a - 13 = 12. Let b be p/(-6) + (-21)/(-6). Factor -2 + 4 - b - n**2 + 2*n**2.
(n - 1)*(n + 1)
Let f(h) be the third derivative of h**8/80640 + h**7/10080 + h**6/2880 - h**5/20 + 3*h**2. Let l(x) be the third derivative of f(x). Factor l(t).
(t + 1)**2/4
Find u, given that -2*u**3 + 5*u**2 + 0*u**3 + u + 0*u**2 - 3 + u**2 - 3*u**4 + u**5 = 0.
-1, 1, 3
Factor 0*g**4 + 4*g**2 - 5*g**4 + 3*g**2 - 2*g**2.
-5*g**2*(g - 1)*(g + 1)
Let n(c) = -c + 11. Let a(s) = s**3 + 5*s**2 + 2*s - 2. Let f be a(-4). Let b be n(f). Find x such that 0*x**2 + 0*x**3 + 2*x**2 + b*x**3 - 4*x**3 = 0.
-2, 0
Let x = 11/2 + -5. Let w(k) be the first derivative of 0*k + x*k**2 - 7/6*k**3 - 9/8*k**4 + 1. Find t such that w(t) = 0.
-1, 0, 2/9
Let w(s) be the second derivative of s**5/18 - 4*s**4/27 + s**3/27 + 2*s**2/9 + 10*s. Factor w(r).
2*(r - 1)**2*(5*r + 2)/9
Let o(j) be the third derivative of 0*j**3 + 4/315*j**7 - 5*j**2 - 1/504*j**8 + 2/45*j**5 + 0*j - 1/36*j**4 - 1/30*j**6 + 0. Factor o(n).
-2*n*(n - 1)**4/3
Factor 0*t + 0 - t**3 + 1/2*t**4 - 3/2*t**2.
t**2*(t - 3)*(t + 1)/2
Let a(g) = -g**3 + 12*g**2 - g + 14. Let m be a(12). Let w(v) be the second derivative of 1/12*v**4 + 1/3*v**3 + 0 + 1/2*v**m + v. Find b such that w(b) = 0.
-1
Let y(u) be the first derivative of -u**6/120 - u**5/20 + 2*u**3/3 - 3*u**2 - 1. Let f(g) be the second derivative of y(g). Factor f(j).
-(j - 1)*(j + 2)**2
Suppose 7 = -4*z + 19. Let g be -1 + 0 + z/1. Factor 3 - h**5 + h**4 + 2*h**g - 4 - 2*h**4 - h + 2*h**3.
-(h - 1)**2*(h + 1)**3
Let v(o) = 7*o**2 + 2*o - 5. Let d(r) = 4*r - 2. Let h(p) = -p**2 - p + 1. Let n(q) = d(q) + 6*h(q). Let z(f) = 5*n(f) + 4*v(f). Find a, given that z(a) = 0.
-1, 0
Let g(r) be the third derivative of r**7/3360 + r**6/1440 + r**3/2 + r**2. Let w(o) be the first derivative of g(o). Factor w(d).
d**2*(d + 1)/4
Factor 25*d**3 + 5/2*d**5 - 5/2 - 25/2*d**4 - 25*d**2 + 25/2*d.
5*(d - 1)**5/2
Let b be 2/(-12)*-9*(-9)/(-27). Suppose 3*g + b*g**2 + 9/2 = 0. Calculate g.
-3
Suppose -z + 5*q = 9, 5*z + 28 = 2*q + 98. Factor -1 + 6*w + 10*w + 3 + 16*w**2 + z*w**2.
2*(4*w + 1)**2
Let t(a) be the second derivative of a**4/78 + a**3/39 - 2*a. Determine f, given that t(f) = 0.
-1, 0
Let p(l) be the third derivative of -l**6/10 - 7*l**5/30 + l**3/3 - 6*l**2. Factor p(c).
-2*(c + 1)*(2*c + 1)*(3*c - 1)
Let q(x) be the second derivative of 2/3*x**4 + 0 + 1/10*x**5 - 4*x + 5/3*x**3 + 2*x**2. Find r such that q(r) = 0.
-2, -1
Let l(y) be the first derivative of 0*y + 0*y**4 + 2/5*y**5 + 0*y**3 + 0*y**2 + 2. Solve l(m) = 0.
0
Let s be 1 - (-1 + 1 + -2). Factor 0*o**s - 6*o**3 + 4*o**3.
-2*o**3
Let d(b) be the second derivative of 5*b**4/4 + 5*b**3/6 - 5*b**2 + 9*b. Factor d(m).
5*(m + 1)*(3*m - 2)
Determine n so that 4*n**2 + 7*n**4 + 5*n**4 - 10*n**3 - 4*n**4 - 2*n**5 = 0.
0, 1, 2
Let q be (-5)/(-3)*(-76)/(-95). Let b be (5 + 0)*(-4)/(-30). Factor 2/3*r**3 + b*r + q*r**2 + 0.
2*r*(r + 1)**2/3
Determine b so that -108/7 + 108/7*b + 4/7*b**3 - 36/7*b**2 = 0.
3
Let b(m) be the first derivative of 6*m**5/35 - m**4/14 - 2*m**3/7 + m**2/7 + 14. Determine s so that b(s) = 0.
-1, 0, 1/3, 1
Let p(k) be the third derivative of -k**6/320 - k**5/80 + 3*k**4/64 + 9*k**2. Suppose p(q) = 0. Calculate q.
-3, 0, 1
Let p(d) be the first derivative of 3*d**4/4 + 7*d**3 - 45. Suppose p(u) = 0. What is u?
-7, 0
Suppose -2*t = 3*i - 9 - 7, -5*t = -10. What is n in 7*n - 7*n - 2*n**4 + i*n**4 = 0?
0
Let y(f) be the third derivative of -f**6/420 + f**5/105 + f**4/84 - 2*f**3/21 - 11*f**2. Factor y(k).
-2*(k - 2)*(k - 1)*(k + 1)/7
Let x(g) be the second derivative of g**6/360 - g**2 + 2*g. Let d(l) be the first derivative of x(l). Factor d(f).
f**3/3
Let -3/4*r - 3/4 + 3/4*r**3 + 3/4*r**2 = 0. Calculate r.
-1, 1
Suppose -4*o - r - 2 = -7, -2*r = -5*o + 16. Suppose -16 = -o*m - 2*m. Factor 0 + 0*a + 2/3*a**5 + 0*a**m - 2/3*a**3 + 0*a**2.
2*a**3*(a - 1)*(a + 1)/3
Let n(w) be the third derivative of w**7/105 - w**5/15 + w**3/3 + 3*w**2 - 2*w. Solve n(h) = 0.
-1, 1
Suppose 0 = 2*s - 4*s + 4. Factor -10*n**3 + n**5 + 10*n + 2*n**3 + 8*n**4 - 4*n**s - 3*n**5 - 4.
-2*(n - 2)*(n - 1)**3*(n + 1)
Suppose 1/2*g**4 - 2*g**3 + g**2 - 3/2 + 2*g = 0. Calculate g.
-1, 1, 3
Let c = 0 - -2. Suppose -3*a - 16 = -5*g, 5*a + 12 = c*g + a. Solve -4/7*n**g + 2/7*n**4 + 2/7 + 0*n**3 + 0*n = 0 for n.
-1, 1
Let z(c) = -c**2 + 5*c - 1. Let v be z(2). Let b be (4/14)/((-2)/(-28)). Find h, given that 90*h**4 + 4 - b + 48*h**3 + 50*h**v + 8*h**2 = 0.
-1, -2/5, 0
Let z(m) = -m**2 + 4*m + 5. Let b be z(4). Determine a so that -1 - 11*a - 1 - b*a**3 + 2*a - 12*a**2 = 0.
-1, -2/5
Suppose 20 = 3*g + 14. Factor -1/3*w**3 + 0 - 1/3*w**g + 0*w.
-w**2*(w + 1)/3
Let v(f) be the third derivative of -f**8/336 - f**7/63 - 7*f**6/360 + f**5/45 + f**4/18 - 3*f**2. Solve v(b) = 0 for b.
-2, -1, 0, 2/3
Let 10*z**2 + 11*z**2 + 14*z**4 - 2*z**5 - 3*z**2 - 30*z**3 = 0. Calculate z.
0, 1, 3
Let j = 0 + 0. Let z(m) = -m**2 + 13*m - 20. Let l be z(11). Solve 0*n + 0 - 2/5*n**4 + 2/5*n**l + j*n**3 = 0.
-1, 0, 1
Let g(d) = -2*d - 1. Let h be g(-6). Let r = h + -7. Factor -2/3*k**r - 1/3*k**3 + 1/3*k + 2/3*k**2 + 0.
-k*(k - 1)*(k + 1)*(2*k + 1)/3
Let m(z) be the third derivative of -7*z**8/408 + 4*z**7/255 - z**6/255 + 12*z**2. Factor m(d).
-2*d**3*(7*d - 2)**2/17
Let f(j) = -j**3 + 6*j**2 + j - 2. Let a be f(6). Let z = a + -2. Factor 2*h + 2*h**3 - z + h**4 - 3 + 4 - 4*h.
(h - 1)*(h + 1)**3
Let s(w) be the third derivative of 1/48*w**4 + 2*w**2 - 1/120*w**5 + 0*w + 1/6*w**3 + 0. Factor s(q).
-(q - 2)*(q + 1)/2
Let n = 7/10 + -1/5. Find x such that 1/2 + 0*x - n*x**2 = 0.
-1, 1
Let y(z) be the second derivative of 2/15*z**6 + 0*z**4 + 0*z**3 + 1/21*z**7 + 0 + z + 1/10*z**5 + 0*z**2. Suppose y(s) = 0. What is s?
-1, 0
Let n = 4 + 0. Let k(d) = -d**3 + 3*d**2 + 5*d + 2. Let g be k(n). Determine f so that -3*f**2 - 3 + g*f - 8*f + 8*f = 0.
1
Suppose -h - 7 = -0*h. Let i be 30/(-70) + (-3)/h. Find w, given that -w**2 + i - 1/2*w**3 - 1/2*w = 0.
-1, 0
Let t(k) be the first derivative of 3*k**5/20 - k**4/2 + k**3/2 - 3*k + 3. Let b(d) be the first derivative of t(d). Factor b(g).
3*g*(g - 1)**2
Let g(v) = v**2 - 5*v - 2. Let r(i) = -2*i*