*(a - 2)**2*(a - 1)
Let j(h) be the second derivative of -h**4/60 - h**3/15 - h**2/10 - 2*h. Factor j(b).
-(b + 1)**2/5
Let m(r) be the first derivative of -1/2*r**4 + 2 + 2/3*r**3 - 2/5*r**5 + 0*r + r**2. Factor m(q).
-2*q*(q - 1)*(q + 1)**2
Let k(a) be the first derivative of -a**3 + 18*a**2 - 108*a + 17. Find c, given that k(c) = 0.
6
Let j = 23/15 + -6/5. Let d(k) be the first derivative of -1/9*k**6 + 4/15*k**5 - 4/9*k**3 + 2 + j*k**2 + 0*k + 0*k**4. Suppose d(y) = 0. What is y?
-1, 0, 1
Let q = 1023 - 1021. Find l, given that -4/9*l + 2/9*l**4 + 0*l**3 + 0 - 2/3*l**q = 0.
-1, 0, 2
Let h be -3 - (-5 + 42/6) - -5. What is a in 4/5*a**2 + 0 + 8/5*a**4 - 2*a**3 - 2/5*a**5 + h*a = 0?
0, 1, 2
Let n be 50/72 + (-13)/52. Let l(p) be the first derivative of 2 - 1/3*p**2 + n*p**3 + 0*p - 1/6*p**4. What is k in l(k) = 0?
0, 1
Determine y, given that 0 - 1/10*y**4 + 0*y + 1/10*y**2 + 0*y**3 = 0.
-1, 0, 1
Let k(p) be the first derivative of 5*p**6/6 - 3*p**5 + 15*p**4/4 - 5*p**3/3 + 13. Determine x, given that k(x) = 0.
0, 1
Suppose 0*q + 9/4*q**4 - 3/8*q**5 - 27/8*q**3 + 0 + 0*q**2 = 0. What is q?
0, 3
Determine m so that -8/7 - 2/7*m + 1/7*m**2 = 0.
-2, 4
Find l, given that l - 1/2 - 1/2*l**2 = 0.
1
Let l = -3 - -6. Determine p, given that 1 + 2*p**l - 2*p - 4*p**2 + 0*p + 3*p**2 = 0.
-1, 1/2, 1
Let i = -184/9 + 188/9. Factor 0*n + 2/3*n**3 + i*n**2 + 0.
2*n**2*(3*n + 2)/9
Suppose -3*f + 8*f - 2*r + 6 = 0, -2*f + 3*r = 9. Determine n so that 1/5*n**5 - 2/5*n + 3/5*n**2 + f + 1/5*n**3 - 3/5*n**4 = 0.
-1, 0, 1, 2
Determine h so that 1/5*h**2 - 6/5*h + 9/5 = 0.
3
Let n(m) = -m**3 - 2*m**2 - m + 2. Let w be n(-2). Suppose -w*t + 3 = -13. Factor -o**2 + 0 - 3/2*o**3 + 5/2*o**t + 0*o.
o**2*(o - 1)*(5*o + 2)/2
Let c(w) be the first derivative of -8/9*w - 1 - 2/27*w**3 - 4/9*w**2. Factor c(h).
-2*(h + 2)**2/9
Let z(n) be the first derivative of 10 - 10*n**2 + 8*n**3 + 2/5*n**5 + 6*n - 3*n**4. Determine o so that z(o) = 0.
1, 3
Let r(c) be the third derivative of c**8/3024 + c**7/315 + c**6/120 + 3*c**2 + 3. Find f, given that r(f) = 0.
-3, 0
Let m be (-4)/(-18) - (-32)/18. Suppose 0 = -28*p + 5*p + 4*p. Factor -2 + 3*b**5 - 6*b**4 - 3*b + 2 + p + 6*b**m.
3*b*(b - 1)**3*(b + 1)
Let b(k) be the third derivative of k**6/30 - k**4/2 - 4*k**3/3 - 3*k**2. Determine r, given that b(r) = 0.
-1, 2
Let d(o) be the third derivative of -8*o**7/105 + o**6/30 + 4*o**5/15 - o**4/6 + 6*o**2 + 3*o. Factor d(f).
-4*f*(f - 1)*(f + 1)*(4*f - 1)
What is b in -2*b**2 + 2*b**2 + 2*b**2 + 42*b - 48*b = 0?
0, 3
Let v(l) be the third derivative of 0*l**3 - 1/5*l**5 - 1/8*l**4 - 3/20*l**6 - 2/35*l**7 - 1/112*l**8 - 2*l**2 + 0*l + 0. Suppose v(a) = 0. Calculate a.
-1, 0
Let u(a) be the second derivative of a**5/140 + a**4/28 + 34*a. Solve u(m) = 0 for m.
-3, 0
Let i be ((-65)/(-40) + -1)*6/15. Solve 0*q**2 + 1/2*q - 1/2*q**3 + i*q**4 - 1/4 = 0.
-1, 1
Let z(c) be the second derivative of c**7/336 - c**5/40 - c**4/48 + c**3/16 + c**2/8 + 2*c. Factor z(v).
(v - 2)*(v - 1)*(v + 1)**3/8
Let w = 224 + -2012/9. Let 0 + 2/9*g**5 + 2/9*g**3 + 0*g + w*g**4 + 0*g**2 = 0. Calculate g.
-1, 0
Let w(z) be the first derivative of -z**4/38 + 7*z**2/19 + 12*z/19 - 15. Factor w(i).
-2*(i - 3)*(i + 1)*(i + 2)/19
Let u(w) = -10*w**2 + 4*w - 4. Let g(k) = -k + 10. Let y be g(8). Let d(j) = 2*j - j**y - 5 + 2*j - 8*j**2. Let b(x) = -4*d(x) + 5*u(x). Factor b(z).
-2*z*(7*z - 2)
Let 0*r**2 - 4/5*r + 4/5*r**3 - 2/5*r**4 + 2/5 = 0. What is r?
-1, 1
Let 3/5*a - 3/5*a**3 + 9/5*a**2 - 6/5 - 3/5*a**4 = 0. Calculate a.
-2, -1, 1
Let z be (-1)/(-7)*(36 + -36). Factor 2/13*d + 2/13*d**3 + z + 4/13*d**2.
2*d*(d + 1)**2/13
Let -6*n**2 + 63/4*n - 27/2 + 3/4*n**3 = 0. What is n?
2, 3
Let q(b) be the third derivative of 0 - 5/24*b**4 + 1/3*b**3 + 0*b - b**2 - 1/120*b**6 + 1/15*b**5. Factor q(g).
-(g - 2)*(g - 1)**2
Let z(q) be the third derivative of q**10/75600 - q**8/5600 - q**7/3150 - q**4/6 + 3*q**2. Let o(r) be the second derivative of z(r). Let o(j) = 0. Calculate j.
-1, 0, 2
Let n = -11306/11 - -1028. Solve -2/11*v**4 - 4/11*v**3 + 4/11*v**2 - 2/11 + n*v + 2/11*v**5 = 0 for v.
-1, 1
Let p = 843 - 4167/5. Find k, given that p*k**4 + 104/5*k**3 + 2/5 + 21/5*k + 15*k**2 = 0.
-1, -2/3, -1/4
Let p(x) be the third derivative of x**5/390 + x**4/39 + 11*x**2. Let p(d) = 0. Calculate d.
-4, 0
Suppose -3 = 5*r - 5*a + 4*a, -3*r + 4*a = 12. Let u be (-2)/1 + 248/36. Factor r + 2*p**5 - 16/3*p**4 + 2/9*p + u*p**3 - 16/9*p**2.
2*p*(p - 1)**2*(3*p - 1)**2/9
Let a(y) be the first derivative of -3*y**6/14 - 12*y**5/35 + 3*y**4/4 + 4*y**3/7 - 6*y**2/7 + 7. Solve a(w) = 0 for w.
-2, -1, 0, 2/3, 1
Let z = 1 + 19. Let p be 12/(-9)*z/(-24). Factor 0 - p*l**2 - 4/9*l - 8/9*l**3 - 2/9*l**4.
-2*l*(l + 1)**2*(l + 2)/9
Suppose d - 1 = 0, 0 = 3*z - 7*z - 3*d + 15. Let h(x) be the first derivative of 0*x**2 - 2*x**4 + 0*x + 2 - 4/9*x**z - 25/18*x**6 - 3*x**5. Factor h(i).
-i**2*(i + 1)*(5*i + 2)**2/3
Suppose -3*p = -5*w + 4, -4*w = p - w - 8. Suppose -4*l - 4 = i, -9 = -i + l - 3. Factor 0*g**i + g**p + 2*g**3 + 0*g**4 + g**4.
g**2*(g + 1)**2
Let k(s) be the first derivative of 1/84*s**4 - 2/21*s**3 + 0*s - 4 + s**2 + 1/70*s**5. Let n(f) be the second derivative of k(f). Factor n(r).
2*(r + 1)*(3*r - 2)/7
Let g be (135/(-162))/((-10)/6). What is h in -g*h**2 - 1/4*h**3 + 1/2 + 1/4*h = 0?
-2, -1, 1
Let b(z) be the third derivative of -z**5/180 - z**4/18 - z**3/6 + 7*z**2. Factor b(h).
-(h + 1)*(h + 3)/3
Let k(z) = -z + 7. Let j be k(3). Let w be 64/20 - (-1 + j). Factor -2*n**2 - n**4 - 1/5 + w*n**5 + 2*n**3 + n.
(n - 1)**5/5
Suppose 2*g = 3*g + 7*g. Let t(w) be the third derivative of 1/448*w**8 + 0*w + 1/140*w**7 - 3*w**2 + 0*w**3 + g - 1/32*w**4 - 1/40*w**5 + 0*w**6. Factor t(z).
3*z*(z - 1)*(z + 1)**3/4
Determine v, given that 0 + 1/2*v**2 + 1/2*v = 0.
-1, 0
What is q in -3*q**3 + 95*q**2 - 101*q**2 + 6*q**3 = 0?
0, 2
Let n(z) be the second derivative of -4*z + 0*z**4 + 2/75*z**6 + 0*z**2 - 3/100*z**5 + 0*z**3 + 0. Solve n(u) = 0 for u.
0, 3/4
Solve 0*s**2 + 6/7*s**3 - 18/7*s + 12/7 = 0.
-2, 1
Let z = -4 - -6. Let k be 3/(-2)*20/(-15). Factor -4*n**k + 2*n + n**z + 0*n**2.
-n*(3*n - 2)
Let q(a) be the first derivative of -3*a**4/28 + 3*a**2/14 + 6. Determine i so that q(i) = 0.
-1, 0, 1
Let c(z) be the second derivative of 0*z**2 + 1/6*z**4 - 3*z - 1/6*z**3 + 0 - 1/20*z**5. Suppose c(o) = 0. Calculate o.
0, 1
Let o be (1/2)/(98/56). Factor -8/7 - o*c**3 - 10/7*c**2 - 16/7*c.
-2*(c + 1)*(c + 2)**2/7
Let x(d) be the first derivative of -d**8/1680 + d**7/420 - d**5/60 + d**4/24 - 7*d**3/3 + 3. Let b(j) be the third derivative of x(j). Factor b(m).
-(m - 1)**3*(m + 1)
Let r be (-5)/(75/(-69)) + 1*-3. Let 12/5*h**3 + 2/5*h**5 + 0 + 2/5*h + 8/5*h**4 + r*h**2 = 0. Calculate h.
-1, 0
Factor 7*z**5 - 24*z**3 + 15*z**2 - 3*z**5 - 12*z + 17*z**2.
4*z*(z - 1)**3*(z + 3)
Let s(q) be the second derivative of -q**7/14 - q**6/10 + 3*q**5/20 + q**4/4 + 19*q. Factor s(f).
-3*f**2*(f - 1)*(f + 1)**2
Factor 2/3*k + 14/9*k**2 - 20/9.
2*(k - 1)*(7*k + 10)/9
Let l be 717/(-5) - (-2)/(-10). Let h = -143 - l. Factor 0*r + 0 + h*r**2 - 3/5*r**3.
-3*r**2*(r - 1)/5
Suppose -q + 6*q = s + 20, -15 = -3*q. Suppose x = a + 4*a, -x - s*a = 0. Factor 2/13*l + x + 6/13*l**2.
2*l*(3*l + 1)/13
Suppose 0 = -4*v + f + 30 + 54, 40 = v - 5*f. Factor 20*r - 12 + 4*r**3 - v*r**2 + 11*r - 4 + r.
4*(r - 2)**2*(r - 1)
Let s = 7 + -4. Suppose -1 = -q - s*b + 2, 0 = -5*q - 3*b + 15. Factor -6*i**2 - q*i + 3 + i + 1.
-2*(i + 1)*(3*i - 2)
Factor -4*t**2 + 6*t + 7*t**2 - 6*t**2 + t**2.
-2*t*(t - 3)
Let z be (2 + -3 - -3)/12. Let x(c) be the first derivative of -2 + z*c**3 + 0*c + 0*c**2 - 3/16*c**4. Let x(a) = 0. Calculate a.
0, 2/3
Factor 0*d - 4/5*d**2 - 2*d**3 + 0 + 14/5*d**4.
2*d**2*(d - 1)*(7*d + 2)/5
Let a(b) be the third derivative of b**5/60 - b**4/4 - 7*b**3/6 + b**2. Let l be a(7). Factor -4/5*x**4 + 0 - 6/5*x**3 + l*x - 2/5*x**2.
-2*x**2*(x + 1)*(2*x + 1)/5
Determine x, given that 3*x**2 + 3/2*x**5 + 3*x**3 - 9/2*x - 9/2*x**4 + 3/2 = 0.
-1, 1
Suppose 5*c = -171 + 1441. Let k = -1266/5 + c. Find b such that 2/5*b**2 - 2/5*b - k = 0.
-1, 2
Let f(j) be the third derivative of -j**8/84 - 4*j**7/35 - 7*j**6/15 - 16*j**5/15 - 3*j**4/2 - 4*j**3/3 - 5*j**2. Let f(i) = 0. Calculate 