 4 + 7*a**3 - 13*a**2.
(a - 2)*(a - 1)*(5*a + 2)
Let v(f) = 7*f**3 + 5*f**2 + 14*f - 14. Let l(k) = 2*k**3 - k + 1. Let p(j) = -6*l(j) + v(j). Find y such that p(y) = 0.
-2, 1, 2
Let p be (-6)/(-4)*1/3. Let o be (20/(-9))/(-1) + 4/(-18). Suppose 0 - 1/2*l**3 - p*l**o + 0*l + 1/2*l**4 + 1/2*l**5 = 0. Calculate l.
-1, 0, 1
What is q in 4/7*q**3 + 8/7*q**2 - 60/7*q - 144/7 = 0?
-3, 4
Let b be (-8)/(-5)*15/6. Suppose 5*k - b - 6 = 0. Factor 2 - k + d**2 + 1 + 2*d.
(d + 1)**2
Let j be -1*(-2)/(-2)*-2. Suppose -b + j = -l + 4, 2*l - 13 = -b. Factor 2/7*k**4 - 2/7*k**2 - 2/7*k**3 + 0 + 2/7*k**l + 0*k.
2*k**2*(k - 1)*(k + 1)**2/7
Let x be (297/(-126) - -2)*(-12)/15. Suppose 2/7*f**4 - 4/7 + 6/7*f**3 + x*f**2 - 6/7*f = 0. What is f?
-2, -1, 1
Let j = -7 + 9. Let z = -29/3 - -10. Factor 2/3*g - 1/3*g**j - z.
-(g - 1)**2/3
Let x(o) = -o**2 + 361. Let u be x(0). Find w such that 3 + 73*w + 5 + u*w**3 + 229*w**4 - 5*w**4 + 254*w**2 + 49*w**5 + 3*w = 0.
-2, -1, -2/7
Let m(c) be the first derivative of 2*c**3/3 - 5*c**2/3 + 4*c/3 - 10. Solve m(t) = 0.
2/3, 1
Let x(k) = k. Let f be x(2). Determine c, given that 4*c**f + 0*c**2 - 6*c**2 + 2 = 0.
-1, 1
Suppose 0 = -5*a + 59 + 11. Let q be 5 + -2 + a/(-6). Solve q*m + 16/3*m**4 + 0 + 8*m**3 + 4*m**2 = 0.
-1/2, 0
Factor -2*r**2 - 218*r + 218*r + 2*r**3.
2*r**2*(r - 1)
Factor -21*h + 153*h - 580*h**3 + 5904*h**3 - 743*h**2 - 4 - 709*h**2.
4*(11*h - 1)**3
Let r(w) be the third derivative of w**8/1344 - w**7/840 - w**6/240 + w**5/120 + w**4/96 - w**3/24 - 7*w**2. Factor r(z).
(z - 1)**3*(z + 1)**2/4
Let o(g) be the third derivative of g**9/241920 - g**8/20160 + g**7/6720 - 2*g**5/15 + g**2. Let i(j) be the third derivative of o(j). Factor i(n).
n*(n - 3)*(n - 1)/4
Let s(r) be the second derivative of -5*r**7/84 + r**6/4 - r**5/4 + 19*r. Factor s(q).
-5*q**3*(q - 2)*(q - 1)/2
Let s(l) be the first derivative of -l + 0*l**3 + 0*l**2 + 1 + 0*l**4 + 1/20*l**5. Let i(c) be the first derivative of s(c). Determine q, given that i(q) = 0.
0
Let s be (-3)/4*20/(-6). Factor -2 - 8*p - s*p**2 + 25/2*p**3.
(p - 1)*(5*p + 2)**2/2
Let m(j) be the second derivative of -j**6/80 - j**5/20 + 3*j**4/16 - 7*j**2/2 - 9*j. Let v(z) be the first derivative of m(z). Let v(k) = 0. Calculate k.
-3, 0, 1
Let g(c) = -2*c**2 - 7*c - 2. Let w(y) = -y**2 - 6*y - 3. Let x(n) = 2*g(n) - 3*w(n). Factor x(t).
-(t - 5)*(t + 1)
Let i = 68/145 + -2/29. Solve 4/5*n**2 - i*n - 2/5*n**3 + 0 = 0 for n.
0, 1
Let y(i) be the first derivative of -32/7*i - 58/7*i**5 - 152/7*i**4 - 80/3*i**3 - 16*i**2 - 3 - 25/21*i**6. Find t, given that y(t) = 0.
-2, -1, -2/5
Let n be 27/(-12) + (-1)/(-4). Let u = n + 4. Factor 0*p + u*p**2 - 4 - 2*p + 0*p + 0*p.
2*(p - 2)*(p + 1)
Let o = -1 - 0. Let x(d) = -6*d**4 - 6*d**3 - 6*d**2 - 6*d + 4. Let h(j) = j**4 + j - 1. Let w(a) = o*x(a) - 4*h(a). Factor w(l).
2*l*(l + 1)**3
Let m = 865 - 3451/4. Factor 0 + 7/4*a**2 + 1/2*a + m*a**3 + 1/4*a**5 + 5/4*a**4.
a*(a + 1)**3*(a + 2)/4
Let z(c) = c**5 - c**4 + c - 1. Let v(w) = -7*w**5 + 3*w**4 + 4*w**3 - 5*w + 5. Let j(x) = v(x) + 5*z(x). Find k such that j(k) = 0.
-2, 0, 1
Let g(h) be the second derivative of 1/3*h**4 - 1/3*h**3 - 1/10*h**5 + 0*h**2 - h + 0. Factor g(l).
-2*l*(l - 1)**2
Let z(q) be the first derivative of 0*q**2 + 0*q**3 - 2*q - 1/30*q**4 - 2. Let l(b) be the first derivative of z(b). Determine g, given that l(g) = 0.
0
Let g = 1 + 1. Suppose -2*s = -0*s + 2*m - 4, -4*m = -s + g. Determine l, given that -2*l**2 + 2*l**3 - 3*l**s + 3*l**2 = 0.
0, 1
Let y be 5/4 + 1/(-1). Suppose h = u, -5*u = -4*u - 3*h. Determine w, given that 1/4*w**4 + 0 - 1/4*w**2 + 1/4*w**5 + u*w - y*w**3 = 0.
-1, 0, 1
Let g = 0 + 0. Determine h, given that 4/7*h**2 + g*h + 2/7*h**3 - 16/7*h**4 + 0 + 10/7*h**5 = 0.
-2/5, 0, 1
Solve c**2 + c**2 - 2*c + 5*c + c**2 = 0.
-1, 0
Suppose n - 5*v - 10 = -3*v, -n - 5*v = 18. Determine c so that -4/3*c**5 + 8/3*c**3 + 4/3 + 4/3*c**4 - 4/3*c - 8/3*c**n = 0.
-1, 1
Factor -6/7*c - 3/7 - 3/7*c**2.
-3*(c + 1)**2/7
Let i(u) be the first derivative of 2/9*u**3 + 1/9*u**6 + 1/2*u**4 + 0*u**2 + 2/5*u**5 - 2 + 0*u. Factor i(k).
2*k**2*(k + 1)**3/3
Solve 26/7*g**2 + 0 - 22/7*g**3 - 4/7*g = 0 for g.
0, 2/11, 1
Let t(z) be the third derivative of -z**7/840 - z**6/240 - z**4/8 + 3*z**2. Let u(s) be the second derivative of t(s). Solve u(f) = 0.
-1, 0
Suppose 0 = 2*z - z. Suppose 3*x + 0*x - 6 = z. Factor 3 - k**3 - k**4 + 2*k - k**3 - x.
-(k - 1)*(k + 1)**3
Let x be (-6)/(-4)*(-18)/(-27). Let c(m) be the first derivative of -m + m**2 - 1/3*m**3 - x. Factor c(d).
-(d - 1)**2
Let h be 2/4*6 - 3. Factor -3 + h*p + 3*p**2 + 3*p + 3*p**3 - 6*p.
3*(p - 1)*(p + 1)**2
Let q(s) be the first derivative of -2/3*s**3 + 0*s**2 + 3 + 0*s. Factor q(d).
-2*d**2
Let t be 1*10*144/10. Let q = 19 + -17. Determine v so that 64*v + 2 - 10 + 180*v**3 - 30*v**q - 54*v**4 - t*v**2 = 0.
1/3, 2/3, 2
Let s(a) = -3*a - 2. Let v be s(-6). Let k = v + -11. Determine i, given that 5*i**5 + i**4 + 3*i**2 + i**2 - 10*i**3 - 2 + k*i - 3*i**4 = 0.
-1, 2/5, 1
Let l(b) be the second derivative of -1/30*b**5 + 4*b + 0 + 1/6*b**3 - 1/180*b**6 + 0*b**2 + 0*b**4. Let m(o) be the second derivative of l(o). Solve m(h) = 0.
-2, 0
Find o, given that -3*o**2 + 3/5*o**5 + 12/5 - 3*o**3 + 12/5*o + 3/5*o**4 = 0.
-2, -1, 1, 2
Let z(n) be the second derivative of 1/50*n**5 - 3*n + 0 + 1/15*n**3 + 0*n**2 + 1/15*n**4. Solve z(u) = 0.
-1, 0
Let m = 87 + -87. Factor m + 2/3*c**3 - 2/3*c**2 - 2/3*c + 2/3*c**4.
2*c*(c - 1)*(c + 1)**2/3
Suppose -5*a = -4*h + 53, -2*h + 4*a = a - 29. Factor q**4 + 21*q**3 + 5*q**4 - 16*q + h*q**3 + 6*q**4.
4*q*(q + 1)*(q + 2)*(3*q - 2)
Find q such that q + 3/4*q**2 + 1/4 = 0.
-1, -1/3
Factor 0 + u**3 - 4 + 10*u + 3*u**3 - 8*u**2 - 2*u**3.
2*(u - 2)*(u - 1)**2
Let d(f) = -f**2 - 2*f - 4. Let c be d(-4). Let o be (6/9)/((-44)/c). Let -o*u**2 + 0*u + 0 = 0. Calculate u.
0
Solve 12771*m**4 + m**5 - 5*m**5 - m**3 + 5*m - 12750*m**4 - 21*m**2 = 0.
-1, 0, 1/4, 1, 5
Let o(z) be the second derivative of -z**7/525 + z**5/150 + z**2 + 2*z. Let n(w) be the first derivative of o(w). Solve n(m) = 0 for m.
-1, 0, 1
Let j(r) be the third derivative of -1/240*r**5 - r**2 + 0*r + 0 - 1/24*r**3 + 1/48*r**4. Factor j(u).
-(u - 1)**2/4
Let y(j) = -7*j**4 + 3*j**3 - 2*j**2 + 6*j - 6. Let g(n) = -5 - 2*n**2 + 0*n**2 - 6*n**4 + 2*n**3 + 0*n**2 + 5*n. Let k(a) = 6*g(a) - 5*y(a). Solve k(u) = 0.
-2, -1, 0
Suppose -2*t + 0 = -6. Suppose 3*p = -5*x + 35, -2*x - 3*p + 1 + 22 = 0. Factor -4/3*g - 6*g**2 - 22/3*g**x - 2*g**5 - 10*g**t + 0.
-2*g*(g + 1)**3*(3*g + 2)/3
Let a be (-8)/6*-6 - 0. Suppose -5*c = -4*p + 9 + 7, 2*p - a = -4*c. Factor c + 4/9*o**2 - 2/9*o - 2/9*o**3.
-2*o*(o - 1)**2/9
Determine h, given that h - 2*h**2 - 3*h - 7*h - 8 + h = 0.
-2
Let x(u) be the second derivative of 2*u**6/15 + u. Factor x(g).
4*g**4
Let 1/6*m**3 + 1/2*m - 1/6 - 1/2*m**2 = 0. Calculate m.
1
Factor 32/7*a - 2*a**3 + 10/7*a**2 + 8/7.
-2*(a - 2)*(a + 1)*(7*a + 2)/7
Factor 0 + 1/2*j**3 + 0*j**2 + 0*j - 1/2*j**4.
-j**3*(j - 1)/2
Suppose -2*d + 10 = d + 5*q, 2*q - 4 = -d. Let h(b) be the second derivative of 1/15*b**6 + 0 - 1/10*b**5 + d*b**2 + 1/3*b**3 - 2*b - 1/6*b**4. Factor h(p).
2*p*(p - 1)**2*(p + 1)
Let f be (-1)/(-3) - 50/15. Let i = 7 + f. Factor u**2 - 5*u**4 - 3*u + u - 3*u**3 + i*u + u**5 + 4*u**4.
u*(u - 2)*(u - 1)*(u + 1)**2
Factor 0*t + 0 + 2/21*t**4 - 4/21*t**2 - 2/21*t**3.
2*t**2*(t - 2)*(t + 1)/21
Let o(l) be the first derivative of 5*l**6/6 + 10*l**5 + 125*l**4/4 + 33. Determine q, given that o(q) = 0.
-5, 0
Let x = 10064/11 - 916. Let b = 93/55 + x. Let 0 + 3/5*a**3 + 6/5*a**2 + b*a = 0. What is a?
-1, 0
Let o(u) be the first derivative of u**5 + 5*u**4 + 5*u**3 - 10*u**2 - 20*u + 22. Determine b, given that o(b) = 0.
-2, -1, 1
Let z(g) = 7*g**2 + 4*g + 1. Let i(p) = -6*p**2 - 3*p. Suppose 3*f - 5*v + 4 = 0, 3 + 1 = -4*v. Let j(m) = f*z(m) - 4*i(m). Factor j(s).
3*(s - 1)*(s + 1)
Let f(t) be the first derivative of 2*t**3/3 + 4*t**2 + 6*t - 9. Factor f(m).
2*(m + 1)*(m + 3)
Factor 10/7*a**2 - 12/7*a + 0 - 2/7*a**3.
-2*a*(a - 3)*(a - 2)/7
Let z(a) = a**3 + a + 1. Let j(g) = -35*g**3 - 75*g**2 - 75*g + 5. Let d(f) = j(f) + 15*z(f). Solve d(k) = 0 for k.
-2, 1/4
Let s(a) = a**5 - 8*a**4 + 8*a**2 - a. Let i(r) = -r**5 + 9