6/360 - z**5/30 - 9*z**2. Solve u(r) = 0 for r.
-6, -1, 0
Let o(t) = 0*t + 2 + 2*t**2 - 1 + 0 + t. Let q be o(-1). Factor 32/9*v**2 - 4/9 - 10/9*v - q*v**3.
-2*(v - 1)**2*(9*v + 2)/9
Let k(f) be the first derivative of 2*f - 1/3*f**3 + 1/2*f**2 - 2. Solve k(v) = 0.
-1, 2
Let g(q) be the second derivative of q**6/360 - q**5/120 + q**3/3 - 2*q. Let j(n) be the second derivative of g(n). Factor j(m).
m*(m - 1)
Factor 9*i**2 - 3*i**3 - 5*i**3 + 7*i**3 - 4*i**2.
-i**2*(i - 5)
Let c(y) be the first derivative of 6 + 2*y**6 - 3/2*y - 19*y**3 + 63/8*y**2 + 339/16*y**4 - 54/5*y**5. Determine w so that c(w) = 0.
1/4, 1, 2
Suppose 0 = -2*z + 4*b + 90, 5*z = -b - 3*b + 253. Let f = z - 95/2. Let 1 + 0*m**2 - 1/2*m**3 + f*m = 0. Calculate m.
-1, 2
Factor 0*j**2 + 4*j + 8/3 - 4/3*j**3.
-4*(j - 2)*(j + 1)**2/3
Let y(c) be the second derivative of -c**6/30 + c**4/6 - c**2/2 - c. What is x in y(x) = 0?
-1, 1
Let p(d) be the second derivative of -d**6/30 - 7*d. Suppose p(x) = 0. Calculate x.
0
Let j(y) = 23*y**2 - 41*y + 5. Let k(c) = 6*c**2 - 10*c + 1. Let d(g) = -6*j(g) + 26*k(g). Factor d(v).
2*(v - 1)*(9*v + 2)
Let w(b) be the third derivative of 0*b**3 + 0*b**4 - 2*b**2 + 0 + 0*b - 1/300*b**5. Factor w(f).
-f**2/5
Let k = -106681049/151087149 + -2/541531. Let t = -15/31 - k. Factor 0*l + 0 + t*l**2.
2*l**2/9
Let p(z) be the first derivative of -4*z**5/25 + 4*z**3/15 - 15. Factor p(c).
-4*c**2*(c - 1)*(c + 1)/5
Let l(k) be the first derivative of k**9/12096 - k**7/1680 + k**5/480 - k**3/3 - 3. Let p(r) be the third derivative of l(r). Factor p(y).
y*(y - 1)**2*(y + 1)**2/4
Let 2/9*l**3 - 2/9*l**2 + 2/9 - 2/9*l = 0. What is l?
-1, 1
Let r(a) be the second derivative of a**6/45 + a**5/30 - a**4/6 - 5*a**3/9 - 2*a**2/3 + 4*a. Solve r(k) = 0 for k.
-1, 2
Find k, given that -14*k**2 - k**3 + 8*k + 9*k**2 - 12 + 6*k**2 = 0.
-3, 2
Let s(x) be the second derivative of -x**4/18 - 2*x**3/9 + x**2 + 2*x. Factor s(f).
-2*(f - 1)*(f + 3)/3
Let z = 73/123 - -3/41. Solve -z*w**2 + 8/3*w - 8/3 = 0.
2
Factor 7*l**2 - 10*l**2 - 4*l - 2 + l**4 + l**3 - 2*l + l.
(l - 2)*(l + 1)**3
Factor 2/11*c**2 + 2/11*c + 0.
2*c*(c + 1)/11
Let l(j) = -j**3 + 5*j**2 + 9*j - 12. Let f be l(6). Suppose -f = -10*m + 7*m. Let 0*p + 0*p**3 + 1/2*p**4 - 1/2*p**m + 0 = 0. What is p?
-1, 0, 1
Let d(p) be the first derivative of p**6/21 + 8*p**5/35 + 5*p**4/14 + 4*p**3/21 - 32. Factor d(k).
2*k**2*(k + 1)**2*(k + 2)/7
Find s, given that -4*s**4 + 5*s + 5*s**4 + 8 + 2*s**2 - 2*s**4 + 7*s - 3*s**3 = 0.
-2, -1, 2
Find f such that 0 + 0*f**4 - 2/9*f**5 + 0*f + 2/3*f**3 + 4/9*f**2 = 0.
-1, 0, 2
Suppose -r - 24 = r - 2*j, -j = 2*r + 9. Let o be (-1)/2 + r + 8. Factor -o*d**2 + 0*d + 0 + 1/2*d**3.
d**2*(d - 1)/2
Let o(x) = x**2 + 2. Suppose 0 = t - 0*t. Let h be o(t). Solve 18/7*k**3 + 0 + 2/7*k**h + 8/7*k**5 - 2/7*k + 22/7*k**4 = 0 for k.
-1, 0, 1/4
Solve 0 - 10/7*i**4 + 10/7*i**2 - 6/7*i**5 + 2/7*i**3 + 4/7*i = 0.
-1, -2/3, 0, 1
Let c(d) = -9*d**3 - 35*d**2 - 78*d - 40. Let u(h) = 80*h**3 + 315*h**2 + 700*h + 360. Let s(w) = -35*c(w) - 4*u(w). Factor s(x).
-5*(x + 1)*(x + 2)*(x + 4)
Solve 9*c**2 + c + 3*c**3 + 11*c + 3 - 3*c = 0 for c.
-1
Suppose 0 = 6*q - 24 + 6. Factor -3/5*g**q + 81/5 + 27/5*g**2 - 81/5*g.
-3*(g - 3)**3/5
Factor t**3 - t**5 + 2*t**3 - 18*t**4 - 3*t + 17*t**4 + t + t**2.
-t*(t - 1)**2*(t + 1)*(t + 2)
Let x(o) = -o - 2. Let f be x(-8). Let j be (-14)/(-8) + f/24. Factor -10/3*l**j + 2*l + 4/3.
-2*(l - 1)*(5*l + 2)/3
Factor -2/3*m**2 + 2/3*m + 4/3.
-2*(m - 2)*(m + 1)/3
Let d(k) be the third derivative of k**5/210 - 2*k**2. Solve d(v) = 0.
0
Let b(w) be the third derivative of w**7/1260 - w**6/240 + w**5/180 - 2*w**2. Suppose b(z) = 0. Calculate z.
0, 1, 2
Find v such that -28*v - 76*v**3 - 25/4*v**5 + 145/4*v**4 + 70*v**2 + 4 = 0.
2/5, 1, 2
Let f(y) be the second derivative of y**5/5 + 5*y**4/3 + 16*y**3/3 + 8*y**2 - 6*y. Factor f(d).
4*(d + 1)*(d + 2)**2
Let i(a) be the first derivative of a**6/180 - a**4/36 + a**2 + 2. Let z(k) be the second derivative of i(k). Factor z(b).
2*b*(b - 1)*(b + 1)/3
Let z(k) be the first derivative of 5*k**6/12 + 3*k**5/10 - 7*k**4/8 - k**3/2 + k**2/2 + 5. Find i, given that z(i) = 0.
-1, 0, 2/5, 1
Factor 10/9*x + 8/9 + 2/9*x**2.
2*(x + 1)*(x + 4)/9
Let z(s) = -60*s**4 - 123*s**3 - 18*s**2. Let j(a) = 24*a**4 + 49*a**3 + 7*a**2. Let c(t) = 12*j(t) + 5*z(t). Let c(h) = 0. Calculate h.
-2, -1/4, 0
Let f = 1 + 3. Suppose f*i = 16 - 0. Let -4*u**2 + 6*u**4 - 2 - 5*u**5 + 3*u**5 - i*u**3 + 2*u + 4*u = 0. What is u?
-1, 1
Let s be -2 - 0 - (-7)/3. Let j(b) = -b**3 - 2*b**2 - 2*b - 1. Let l be j(-1). Factor l*o + 1/3*o**2 + 0 - s*o**4 + 0*o**3.
-o**2*(o - 1)*(o + 1)/3
Let q(x) = -4*x**2 - 18*x - 5. Let z be q(-4). Determine d so that -1/3 - d**2 + 1/3*d**z + d = 0.
1
Let x = 127/632 + -6/79. Let s(a) be the first derivative of 1 - 1/2*a + 1/6*a**3 + 1/4*a**2 - x*a**4. Factor s(h).
-(h - 1)**2*(h + 1)/2
Let d(f) be the second derivative of f**7/15120 + f**6/4320 - 5*f**4/12 + f. Let s(c) be the third derivative of d(c). Suppose s(n) = 0. What is n?
-1, 0
Let h(b) = 26*b**3 - b**2 + 2*b - 1. Let i be h(1). Let t = 38 - i. What is q in q**2 + 18 + 0*q + 2*q**2 + t*q - q**2 = 0?
-3
Determine c, given that 6/7*c - 4/7 - 2/7*c**2 = 0.
1, 2
Suppose -v - 1 = -4*b + 8, -5*v - 5 = 0. Factor 2*j + 3*j**4 - j**4 - 2*j**3 - 5*j**b + 3*j**2.
2*j*(j - 1)**2*(j + 1)
Suppose -4*b + 17 = -23. Let q be (-160)/(-48)*12/b. Factor -y**3 + 1/2 - 1/2*y**q + 0*y**2 + y.
-(y - 1)*(y + 1)**3/2
Let g(h) = h + 2. Let m be g(0). Suppose 4 = a + m. Determine i, given that -4/3*i**a - 2*i**3 - 1/3*i**5 - 4/3*i**4 + 0 - 1/3*i = 0.
-1, 0
Let p = -13 + 17. Factor -1 - 3*q - p*q - 3 - 2*q**2 + q.
-2*(q + 1)*(q + 2)
Let c = 125 - 125. Find y such that -4/3*y**2 - 4/3*y + c - 1/3*y**3 = 0.
-2, 0
Let u(t) be the third derivative of -t**8/1428 - t**7/357 - t**6/340 + t**5/510 + t**4/204 + 11*t**2. Let u(g) = 0. What is g?
-1, 0, 1/2
Let b(o) be the third derivative of 0*o**3 + 1/60*o**6 + 1/315*o**7 + 0 + 1/30*o**5 + 1/36*o**4 + 0*o + o**2. Factor b(l).
2*l*(l + 1)**3/3
Let x(m) = 8*m**4 + 8*m**3 - 19*m**2 - 8*m + 21. Let v(b) = 12*b**4 + 12*b**3 - 28*b**2 - 12*b + 32. Let r(k) = -5*v(k) + 8*x(k). What is i in r(i) = 0?
-2, -1, 1
Let f(v) be the first derivative of -v**4/28 + 2*v**3/21 + 3*v**2/14 + 12. Factor f(p).
-p*(p - 3)*(p + 1)/7
Let o(d) be the first derivative of -d**6/120 - d**5/60 + 2*d**2 + 3. Let l(g) be the second derivative of o(g). Solve l(x) = 0.
-1, 0
Let d = -74 + 374/5. Factor 4/5*h**2 + 2/5*h**5 - d - 8/5*h**3 + 6/5*h + 0*h**4.
2*(h - 1)**3*(h + 1)*(h + 2)/5
Let d(x) = 1. Let z(k) = -k**2 - 4*k + 4. Let f(o) = 24*d(o) - 3*z(o). Let f(i) = 0. What is i?
-2
Suppose 2/9*s**2 + 4/3*s + 10/9 = 0. What is s?
-5, -1
Let a(t) be the first derivative of 2*t**6/9 + 2*t**5/5 - t**4/3 - 2*t**3/3 - 23. Determine u, given that a(u) = 0.
-3/2, -1, 0, 1
Let k(t) be the second derivative of t**6/80 - 21*t**5/80 + 61*t**4/32 - 21*t**3/4 + 27*t**2/4 + 30*t. Factor k(s).
3*(s - 6)**2*(s - 1)**2/8
Let s(f) be the third derivative of 0*f**3 + 4*f**2 - 1/945*f**7 - 1/108*f**4 + 0*f + 1/540*f**6 + 1/270*f**5 + 0. Solve s(n) = 0 for n.
-1, 0, 1
Let v(h) be the third derivative of h**9/423360 - h**7/35280 + h**5/20 + 4*h**2. Let k(q) be the third derivative of v(q). Solve k(b) = 0 for b.
-1, 0, 1
Let n = -3 - 30. Let z be ((-6)/20)/(n/176). Factor -8/5 - z*s - 2/5*s**2.
-2*(s + 2)**2/5
Let p = 4/83 + 47/747. Let w(z) be the second derivative of -2/15*z**5 + 0 - 5/18*z**4 + 3*z + 0*z**2 - p*z**3. Factor w(h).
-2*h*(h + 1)*(4*h + 1)/3
Let q(h) be the first derivative of h**3/3 + 5*h**2/2 - 6*h + 4. Let s be q(-6). Find p such that -2/5*p**2 + 2/5 + s*p = 0.
-1, 1
Let l = -63 - -63. Let j(q) be the third derivative of -1/132*q**4 + l*q + 0 - 1/110*q**5 + 4*q**2 + 0*q**3 + 1/165*q**6. Factor j(v).
2*v*(v - 1)*(4*v + 1)/11
Let j be (-68)/(-14) - 21/(-147). Factor 1/3*w**4 + 1/3 - 1/3*w**j - 2/3*w**2 + 2/3*w**3 - 1/3*w.
-(w - 1)**3*(w + 1)**2/3
Let f(u) = 14*u**4 - 14*u**3 + 8*u**2 - 8*u + 11. Let b(w) = -5*w**4 + 5*w**3 - 3*w**2 + 3*w - 4. Let o(h) = -11*b(h) - 4*f(h). Factor o(x).
-x*(x - 1)**2*(x + 1)
Let s(i) = -i - 1. Let v be s(-7). Suppose -h = -v*h. Suppose -9*o - 4*o**3 + 12*o**2 + h*o + 2 + 0 = 0. W