t z(m) be the first derivative of 4/7*m - 2/21*m**3 - 1/7*m**y + 3. Let z(g) = 0. Calculate g.
-2, 1
Let d(n) = n**2 - 4*n + 4. Let i be d(4). Factor -2*a**2 + 2*a**i + 5*a - 2*a**3 - 4*a + a.
2*a*(a - 1)**2*(a + 1)
Let z(p) be the second derivative of p**6/10 + 3*p**5/10 - p**3 - 3*p**2/2 - 6*p. What is u in z(u) = 0?
-1, 1
Factor -20/3*i**2 - 55/3*i - 10 + 5/3*i**3.
5*(i - 6)*(i + 1)**2/3
Let s be (-2)/5*(-2 - 1). Suppose -g + 4*t - 9 = 0, 0*t + 18 = g + 5*t. Factor -2/5 - s*i + 6/5*i**g + 2/5*i**2.
2*(i - 1)*(i + 1)*(3*i + 1)/5
Let c = -29 - -263/9. Factor c*y**3 + 8/9*y**2 + 4/9 + 10/9*y.
2*(y + 1)**2*(y + 2)/9
Solve -2/3 + 0*l + 1/6*l**3 + 1/2*l**2 = 0.
-2, 1
Suppose 2 = 5*w + 2*j - 16, 12 = 2*w - 4*j. Let r(n) be the first derivative of 0*n + 0*n**2 + 1/3*n**3 + 3/4*n**w + 3/5*n**5 + 2 + 1/6*n**6. Factor r(h).
h**2*(h + 1)**3
Factor 14*v**3 + 1/2*v - 23/4*v**2 + 0.
v*(7*v - 2)*(8*v - 1)/4
Factor -2/5 - n**2 + 7/5*n**4 + 9/5*n - 9/5*n**3.
(n - 1)**2*(n + 1)*(7*n - 2)/5
Let n(k) be the third derivative of -k**5/12 + 7*k**4/24 - k**3/3 + 16*k**2. Determine a, given that n(a) = 0.
2/5, 1
Suppose -2*s - 12 = p, -2*s - 2*s - 60 = 4*p. Let f be (-32)/p + 2 + -2. Determine y so that -4/3*y**4 - 8/3*y + 2/9*y**5 - 4/9*y**2 + f + 22/9*y**3 = 0.
-1, 1, 2
Let z(t) be the third derivative of -3*t**2 + 0 + 0*t**4 + 0*t + 1/6*t**3 - 1/60*t**5. Factor z(q).
-(q - 1)*(q + 1)
Suppose -20 = -2*t - 5*c, t + 3*t + 5*c = 20. Let n be 2/(-12)*-2*t. Factor n + 2/7*j - 2/7*j**2.
-2*j*(j - 1)/7
Let l be 1/(-3)*3/(-2)*1. Let 0*z + 0 - 1/2*z**4 + z**3 - l*z**2 = 0. What is z?
0, 1
Suppose a - 4*a**3 - 20 + 20 - 5*a - 8*a**2 = 0. Calculate a.
-1, 0
Let d(n) = -5*n**4 - 5*n**3 - 7*n**2 + 5*n + 6. Let g(b) = -b**4 - b**3 - b**2 + b + 1. Suppose -2*f = -10 - 2. Let i(j) = f*g(j) - d(j). Factor i(y).
-y*(y - 1)*(y + 1)**2
Let r be (0 + -6)/(1 - 3). Let u(z) be the second derivative of z + 0*z**2 - 1/48*z**4 - 1/40*z**6 - 1/168*z**7 - 3/80*z**5 + 0*z**r + 0. What is j in u(j) = 0?
-1, 0
Let j(a) be the second derivative of 0*a**2 + 0 + 0*a**3 + 2*a + 1/6*a**4. What is f in j(f) = 0?
0
Factor 36*i + 12 - 10 + 6 + 28*i**2.
4*(i + 1)*(7*i + 2)
Suppose q - 2*q - 4 = 0, 3*q + 362 = 5*r. Let l = -348/5 + r. Determine o, given that -2/5*o**2 - 2/5*o + 0 + 2/5*o**4 + l*o**3 = 0.
-1, 0, 1
Factor 5/3*s**3 + 20/3*s**2 + 0 + 20/3*s.
5*s*(s + 2)**2/3
Let g(h) = -3*h + 1. Let d be g(-1). Factor -d*x**4 + 6*x**3 + 2 + 2*x**4 - 2*x**3 - 4*x.
-2*(x - 1)**3*(x + 1)
Let f be 3/6 - (-63)/(-6). Let l be ((-8)/20)/(8/f). Find m, given that 3/4*m**3 + l - 1/4*m - m**2 = 0.
-2/3, 1
Let l(b) be the second derivative of 0*b**4 - 1/100*b**5 + 0*b**2 - 2*b + 0 + 0*b**3 - 1/210*b**7 - 1/75*b**6. Factor l(w).
-w**3*(w + 1)**2/5
What is j in 16/3*j + 20/3 + 1/3*j**2 - 1/3*j**3 = 0?
-2, 5
Suppose 0 = -5*y + 5*s - 15, 5*s - 8 - 10 = 2*y. Let o(u) be the first derivative of 0*u - 1/2*u**4 + u**2 + 2/5*u**5 - 2/3*u**3 - y. Factor o(l).
2*l*(l - 1)**2*(l + 1)
Let g be 2 + 15/(3 - 0). Factor g*f + 0*f**2 - f**2 - 8*f.
-f*(f + 1)
Let g(f) = -12*f**2 + 15*f - 13. Let q(k) = -12*k**2 + 16*k - 12. Let y(c) = 4*g(c) - 5*q(c). Factor y(w).
4*(w - 1)*(3*w - 2)
Factor -83*h + 0*h**2 + 2*h**2 + 83*h.
2*h**2
Let g(r) be the first derivative of r**6/48 - 15*r**4/32 + 5*r**3/12 + 15*r**2/4 - 9*r - 26. Factor g(i).
(i - 2)**3*(i + 3)**2/8
Let i be 12/6 + 1*-4 + 2. Let t = -99 - -695/7. Factor 0*z**2 - t*z**3 - 2/7*z**4 + i + 0*z.
-2*z**3*(z + 1)/7
Let v = -28 + 113/4. Let s be (-6)/(-8) + 2/(-4). Let 1/2*q**4 + 0 - s*q**2 + v*q**3 + 0*q = 0. Calculate q.
-1, 0, 1/2
Let f(u) be the third derivative of -u**8/2520 + u**7/420 - u**6/180 + u**5/180 - u**3/3 + 2*u**2. Let l(s) be the first derivative of f(s). Factor l(a).
-2*a*(a - 1)**3/3
Determine m, given that 0*m - 1/2*m**2 + 2 = 0.
-2, 2
Let m be 1*4*4/8. Factor -4*s**m - 5*s**2 + 3*s**2 + 2 + 4*s**2.
-2*(s - 1)*(s + 1)
Solve 2/3*x**2 + 0 + 2/3*x**3 - 4/3*x = 0 for x.
-2, 0, 1
Let v = 651 - 3237/5. Let g(j) be the first derivative of -8/3*j**3 + 0*j + 2 - v*j**5 + 0*j**2 + 6*j**4. Factor g(l).
-2*l**2*(3*l - 2)**2
Let p = -12 - -12. Factor -11*w + p + 3*w**3 + 8*w + 0.
3*w*(w - 1)*(w + 1)
Let o(i) be the first derivative of i**6/2 + 9*i**5/5 - 9*i**4/2 - 10*i**3 + 63*i**2/2 - 27*i + 23. Find q such that o(q) = 0.
-3, 1
Let n(v) be the first derivative of -1/3*v**3 + 0*v + 2 + 0*v**2. Let n(g) = 0. What is g?
0
Let l = -12 - -16. Find v, given that -5*v**4 + v**5 + v**2 - l*v**3 + 3*v**3 + 3*v**4 + v**4 = 0.
-1, 0, 1
Suppose -3*v - 2*v + 2*t + 2 = 0, -3*v + 3*t = 6. Solve 9 + 9*u + 3*u**v + 1/3*u**3 = 0.
-3
Let o(q) be the first derivative of -q**4/28 + 2*q**3/21 + q**2/2 + 4*q/7 - 2. Factor o(n).
-(n - 4)*(n + 1)**2/7
Let l be 188/20 + 4/(-10). Factor -2*s**2 - s - s + l*s**2 - 5*s**2.
2*s*(s - 1)
Determine y so that 3/8*y**2 + 75/2 + 15/2*y = 0.
-10
Let i = -83 + 250/3. Let c(m) be the first derivative of -2/9*m**3 + 2/3*m**5 - 1/6*m**4 - 4 + 0*m**2 - i*m**6 + 0*m. Solve c(b) = 0.
-1/3, 0, 1
Let m be ((-6)/105*5)/(2/(-14)). Determine g so that -5/6*g**m + 2/3 + 0*g**3 + 0*g + 1/6*g**4 = 0.
-2, -1, 1, 2
Let t(n) = n + 2. Let f be t(-4). Let a = 5 + f. Factor 2*u - 2*u**3 + a - 3.
-2*u*(u - 1)*(u + 1)
Let g be ((-1)/(-5))/(3/20). Factor g*r**3 + 1/3*r**5 - 1/3*r**2 + 1/6 - 7/6*r**4 - 1/3*r.
(r - 1)**4*(2*r + 1)/6
Let s(d) be the first derivative of -2 + 2/9*d + 2/27*d**3 - 2/9*d**2. Factor s(z).
2*(z - 1)**2/9
Let d(k) = -k**3 - 2*k**2 - 6*k - 5. Let q be d(-1). Suppose -f + 3 + 0 = 0. Let -i**5 + q*i - 1/5*i**f - 2/5*i**2 + 0 + 8/5*i**4 = 0. Calculate i.
-2/5, 0, 1
Let d(s) be the second derivative of s**9/20790 - s**8/36960 - s**4/4 + 2*s. Let w(x) be the third derivative of d(x). Factor w(b).
2*b**3*(4*b - 1)/11
Let o(y) be the third derivative of y**9/3024 - y**8/630 + y**7/420 - y**5/360 + 5*y**3/6 + 6*y**2. Let x(z) be the first derivative of o(z). Factor x(m).
m*(m - 1)**3*(3*m + 1)/3
Let a(x) be the third derivative of 5*x**8/336 - x**7/21 - x**6/12 + 2*x**5/3 - 35*x**4/24 + 5*x**3/3 + x**2 + x. Find d, given that a(d) = 0.
-2, 1
Let n(s) = 7*s**3 - 10*s**2 + 7*s. Let m(a) = -6*a**3 + 9*a**2 - 6*a. Let b(j) = 4*m(j) + 3*n(j). Factor b(h).
-3*h*(h - 1)**2
Suppose -5*g = -3 - 7. Factor 1/4*b**3 - 1/4*b**4 - 1/4*b + 1/4*b**g + 0.
-b*(b - 1)**2*(b + 1)/4
Let i be 88/(-154) + (-4)/(-7). Let j(u) be the first derivative of 3 + i*u**2 + 0*u**3 + 1/2*u**4 + 0*u. Let j(r) = 0. Calculate r.
0
Let a(n) be the first derivative of -2*n**3/27 - n**2/9 - 6. Factor a(y).
-2*y*(y + 1)/9
Let u(d) be the first derivative of 0*d**2 + 5 + 0*d**5 - 3/4*d**4 + 1/6*d**6 + 2/3*d**3 + 0*d. Find z such that u(z) = 0.
-2, 0, 1
Let b(u) be the second derivative of 2/9*u**2 - 1/9*u**3 + 1/54*u**4 - 3*u + 0. Let b(x) = 0. Calculate x.
1, 2
Let a(c) be the second derivative of c**6/40 - 3*c**5/20 + 3*c**4/8 - c**3/2 + c**2/2 + 3*c. Let p(g) be the first derivative of a(g). What is j in p(j) = 0?
1
Suppose 2*b + b = -r - 10, -b = r + 2. Factor -2/3*k**r - 2/3*k + 0.
-2*k*(k + 1)/3
Let w(u) be the first derivative of 2/35*u**5 - 2/7*u**3 - 1/7*u**4 + 8/7*u + 4/7*u**2 - 2. Find c such that w(c) = 0.
-1, 2
Let h be (-3)/(-6)*(0 + 4). Suppose -3*t - 12 = -q, -2*q + 0*q - 4*t - 16 = 0. Find w, given that -1/4*w**4 + 0*w + 1/2*w**3 + q - 1/4*w**h = 0.
0, 1
Let z(a) be the third derivative of -a**7/120 - 3*a**6/160 - a**5/120 + 18*a**2. Factor z(q).
-q**2*(q + 1)*(7*q + 2)/4
Let w(x) be the third derivative of 0 + 0*x**4 + 0*x + 0*x**6 - 1/15*x**5 + 1/3*x**3 + 1/105*x**7 + 3*x**2. Factor w(o).
2*(o - 1)**2*(o + 1)**2
Factor 4/5 + 4/5*k + 1/5*k**2.
(k + 2)**2/5
Let n = 1978/5 - 59339/150. Let j(p) be the third derivative of -n*p**5 + 0 + 1/60*p**4 + 1/15*p**3 + p**2 - 1/300*p**6 + 0*p. Determine f, given that j(f) = 0.
-1, 1
Let u be 1 + 3 + -2 + (-28)/14. Factor 2/3*h**4 + 0*h**3 + 0 + u*h + 0*h**2.
2*h**4/3
Suppose 3*p = 4*p - 7. Factor -6 + p - 6*y**2 - 3 - 4 + 15*y.
-3*(y - 2)*(2*y - 1)
Let j(y) be the third derivative of -y**7/105 - 4*y**6/105 - 11*y**5/210 - y**4/42 - 6*y**2. Factor j(q).
-2*q*(q + 1)**2*(7*q + 2)/7
Suppose -2*m - t + 3 = -0*t, -2*t - 12 = -5*m. Factor x - 3*x**2 + 0*x**2 + x**m.
-x*(2*x - 1)
Factor -64*u**2 + 42*u**3 + 18*u**3 + 16*u - 2 + 2.
4*u*(3*u - 2)*(5*u - 2)
Let v be 