*6 - 1/6*b**4 + 0*b**3 + 0*b + 8*b**2 + 1/10*b**5. Let r(c) = 0. What is c?
-1, 0, 2/5
Let w(d) be the first derivative of d**6/60 - d**5/30 - d**4/6 + 5*d**2 + 3. Let q(u) be the second derivative of w(u). Factor q(r).
2*r*(r - 2)*(r + 1)
Factor r**3 + 3*r**2 - 7*r**2 + 6*r**2 - r**2.
r**2*(r + 1)
Suppose 0 = 22*j - 36*j. Find z, given that 0 + 4/7*z**4 + 0*z**2 - 4/7*z**3 + j*z = 0.
0, 1
Let p(o) be the second derivative of -o**6/240 - o**5/60 - 2*o**2 + o. Let m(n) be the first derivative of p(n). Factor m(d).
-d**2*(d + 2)/2
Let v(f) be the second derivative of -f**6/300 + f**2 - 7*f. Let n(p) be the first derivative of v(p). Let n(u) = 0. Calculate u.
0
Let j(v) be the first derivative of v**6/15 - v**4/3 + v**2 - v + 2. Let m(a) be the first derivative of j(a). What is i in m(i) = 0?
-1, 1
Suppose 3*y - 5*j = 2*y + 17, 2*y - j = 7. Let 0*h**y + 0*h - 1/2*h**5 + 0 - h**4 - 1/2*h**3 = 0. Calculate h.
-1, 0
Suppose -7*q - 2 = -3*q - 2*n, -3*q - 4 = -4*n. Solve -1/2*p**5 + 0 + q*p**2 - 2/3*p**4 + 2/3*p**3 + 0*p = 0.
-2, 0, 2/3
Let s(h) be the third derivative of h**9/20160 - 11*h**8/20160 + h**7/840 + h**5/60 + 4*h**2. Let o(a) be the third derivative of s(a). Factor o(j).
j*(j - 3)*(3*j - 2)
Find r, given that 1/3*r**4 - 1/3*r + 1/3*r**3 + 0 - 1/3*r**2 = 0.
-1, 0, 1
Let y(t) be the first derivative of -t**3/6 + t**2/4 + t + 6. Factor y(c).
-(c - 2)*(c + 1)/2
Let y be (7 + -1)*2/6. Let q(j) be the third derivative of 0*j + 0*j**3 - 1/240*j**5 + 1/48*j**4 + 0 + 2*j**y. Solve q(s) = 0 for s.
0, 2
Suppose -4*b = -4*d - 6 - 2, -b + 4*d - 4 = 0. Suppose 4*u**2 + 0*u - u**3 + b*u**3 + 2*u - u**3 = 0. What is u?
-1, 0
Let s(x) be the third derivative of -x**5/100 + 3*x**4/40 - x**3/5 - 28*x**2. Suppose s(j) = 0. Calculate j.
1, 2
Let v(a) = a**3 - a - 1. Suppose -y - y = 2. Let f(z) = z**3 - z**2 + z + 1. Let g(s) = y*f(s) - v(s). Factor g(h).
-h**2*(2*h - 1)
Let l be (7/49)/((-4)/(-7)). Let n = -1 + 3. Factor 1/4*o - 1/2 + l*o**n.
(o - 1)*(o + 2)/4
Suppose 0*c = 2*c - 6. Let r(n) be the third derivative of 0 + 0*n**c + 0*n**7 + 1/90*n**6 - 1/504*n**8 + n**2 + 0*n - 1/36*n**4 + 0*n**5. Solve r(v) = 0 for v.
-1, 0, 1
Suppose 4*q = 5*o - 66, 4*o - 46 - 14 = -4*q. Let k = o + -41/3. Find f such that 0*f**4 + 0*f + 0 - k*f**3 + 0*f**2 + 1/3*f**5 = 0.
-1, 0, 1
Let n(v) be the third derivative of -1/12*v**6 - 1/36*v**4 + 1/35*v**7 + 0 + 7/90*v**5 + 0*v**3 + 0*v - 3*v**2. Factor n(b).
2*b*(b - 1)*(3*b - 1)**2/3
Let c be -5 + (-5255)/(-750) + -2. Let b(l) be the third derivative of 0 + 1/60*l**4 + 1/15*l**3 - c*l**5 + 0*l - 4*l**2 - 1/300*l**6. Factor b(t).
-2*(t - 1)*(t + 1)**2/5
Suppose 0 = -3*w - 12. Let p be (3/2)/((-3)/w). Factor 2/3*k**p - 2/3 + 0*k.
2*(k - 1)*(k + 1)/3
Let w(h) be the second derivative of h**8/8960 + h**7/1680 + 2*h**4/3 - 9*h. Let b(n) be the third derivative of w(n). Factor b(a).
3*a**2*(a + 2)/4
Let g = 0 + 4. Determine f so that -33*f**5 - f**3 - 2*f**2 + 32*f**5 - g*f**4 - 4*f**3 = 0.
-2, -1, 0
Suppose z - 3*z = -4. Factor -a**2 + z*a**4 + a**4 - 6*a + 16*a**2 - a**3 - 11*a**3.
3*a*(a - 2)*(a - 1)**2
Suppose 2*w - 8 = 2. Let -2/3*t - 7/3*t**w + 3*t**3 + 5/3*t**4 + 0 - 5/3*t**2 = 0. Calculate t.
-1, -2/7, 0, 1
Let u(d) be the second derivative of d**7/140 + d**6/20 + d**5/10 - d**2/2 + 4*d. Let b(t) be the first derivative of u(t). Factor b(z).
3*z**2*(z + 2)**2/2
Factor 2*v**2 - 3*v**2 - 4 + v**3 + 4*v**2.
(v - 1)*(v + 2)**2
Let s(t) be the first derivative of -2 - 1/20*t**4 - 3*t + 2/15*t**3 + 2/5*t**2. Let h(m) be the first derivative of s(m). Factor h(q).
-(q - 2)*(3*q + 2)/5
Suppose d = -0*d + 3. Solve -3*y**5 - 7*y**4 - d*y**2 - 3*y**3 + 10*y**4 + 6*y**5 = 0.
-1, 0, 1
Let a(z) be the first derivative of -z**5/120 + z**4/24 - z**3/12 - z**2/2 + 3. Let v(t) be the second derivative of a(t). Factor v(u).
-(u - 1)**2/2
Let b(n) be the third derivative of 0*n**6 + 4*n**2 + 1/8*n**3 - 1/840*n**7 + 1/40*n**5 + 0 + 0*n + 1/12*n**4. Factor b(r).
-(r - 3)*(r + 1)**3/4
Let o(y) be the second derivative of -y**5/5 - y**4/3 + 4*y**3/3 + 8*y. Let o(b) = 0. Calculate b.
-2, 0, 1
Let k = -17 - -20. Let s(a) be the first derivative of 0*a + 2/21*a**k + 1/7*a**2 + 3. Factor s(d).
2*d*(d + 1)/7
Let u(x) = x**3 + 3*x**2 - x - 7. Let r be 19/(-2) - 2/(-4). Let q(f) = -3*f**3 - 6*f**2 + 3*f + 15. Let i(g) = r*u(g) - 4*q(g). Find w such that i(w) = 0.
-1, 1
Suppose -18*y + 22*y = 0. Let d(v) be the first derivative of 2/35*v**5 + y*v - 3 - 4/7*v**2 + 3/14*v**4 + 0*v**3. Factor d(s).
2*s*(s - 1)*(s + 2)**2/7
Let y = -191428/135 - -1418. Let w(d) be the third derivative of -1/12*d**4 + y*d**5 + 2/27*d**3 + d**2 + 0*d + 0. Suppose w(q) = 0. What is q?
1/4, 2
Determine x, given that -24*x**2 + 63/2*x**3 + 0 + 6*x - 27/2*x**4 = 0.
0, 2/3, 1
Let q = 281/55 + -54/11. Let 1/5*l + 0 - q*l**2 = 0. What is l?
0, 1
Let k = 79 + -79. Let 1/4*c**2 - 1/4*c**4 + k*c + 0 + 0*c**3 = 0. Calculate c.
-1, 0, 1
Suppose 87 = -i - 5*c - 67, 3*i + 2*c = -410. Let h = -531/4 - i. Factor 3/4*d**2 + 1/2 - h*d.
(d - 1)*(3*d - 2)/4
Factor 9/5*p**3 + 24/5 - 6*p**2 + 12/5*p.
3*(p - 2)**2*(3*p + 2)/5
Let h be (-18)/(-8)*(-2)/(-42). Let g = 5/14 - h. Solve -1/4*f**2 - 1/4*f + g*f**3 + 0 + 1/4*f**4 = 0 for f.
-1, 0, 1
Let p(j) = -12*j**2 - 6*j - 2. Let n(c) be the second derivative of c**4/12 + c**3/6 + 3*c. Let b(i) = 6*n(i) - p(i). Factor b(y).
2*(3*y + 1)**2
Let l be 8/(-28) - (-4)/14. Factor 2*v**2 + l*v**2 - 4*v**3 + 13*v**4 - 19*v**4.
-2*v**2*(v + 1)*(3*v - 1)
Let z be 24/10 - (-16)/(-8). Let l = 4/3 + -8/15. Factor -l*y**2 - 2/5*y**5 - 2/5*y + z + 4/5*y**3 + 2/5*y**4.
-2*(y - 1)**3*(y + 1)**2/5
Let s(t) be the second derivative of 0 - 3*t + 3/2*t**2 + 0*t**4 + 0*t**5 + 0*t**6 + 0*t**3 + 1/630*t**7. Let b(d) be the first derivative of s(d). Factor b(l).
l**4/3
Let j(z) be the first derivative of -z**4/7 - 2*z**3/21 + 4*z**2/7 + 6*z/7 + 24. Factor j(y).
-2*(y + 1)**2*(2*y - 3)/7
Let l(z) be the second derivative of -z**4/84 - 2*z**3/21 - 2*z**2/7 - 5*z. Factor l(f).
-(f + 2)**2/7
Suppose -23*i**5 - 85*i**2 - 3*i - 32*i**5 - 195*i**3 - 7*i - 175*i**4 = 0. Calculate i.
-1, -2/11, 0
Let h(o) be the second derivative of 27*o**7/14 + 27*o**6/5 - 27*o**5/10 - 11*o**4 - 17*o**3/2 - 3*o**2 + 21*o. Solve h(t) = 0.
-2, -1/3, 1
Let f(l) be the second derivative of -l**8/6720 + l**7/1260 - 5*l**4/12 - 6*l. Let i(h) be the third derivative of f(h). Factor i(m).
-m**2*(m - 2)
Let b = 193/18780 - -2/313. Let l(c) be the third derivative of 1/240*c**6 + 0*c + 1/48*c**4 + 0 + 0*c**3 + 2*c**2 + b*c**5. Factor l(i).
i*(i + 1)**2/2
Let s = 6 + -2. Let m(w) = -3*w**4 + 2*w**3 - 2*w**2 + 8*w - 5. Let y(v) = -3*v**4 + v**3 - v**2 + 7*v - 4. Let u(r) = s*m(r) - 5*y(r). Factor u(l).
3*l*(l - 1)*(l + 1)**2
Factor -2/9*q**3 - 2/9*q**2 + 0 + 0*q.
-2*q**2*(q + 1)/9
Let k = 23 - 19. Let y be k*(-4 + (-17)/(-4)). What is v in 5/2*v - 3/2*v**2 - y + 1/2*v**4 - 1/2*v**3 = 0?
-2, 1
What is x in 3*x - 2 - x**4 - 13*x + 3*x - 5*x**3 - 9*x**2 = 0?
-2, -1
Let b(h) = 2*h + 10. Let f be b(-5). Suppose -5*v = 3*n - 0*v + 9, 5*n + v - 7 = f. Find q, given that 2/7 - 4/7*q**3 - 8/7*q + 10/7*q**n = 0.
1/2, 1
Let q = -32 + 41. Suppose 5*o = 3*a - 20, 3*a + 2*o - 1 = -q. Find i such that -1/3 + a*i + 1/3*i**2 = 0.
-1, 1
Let j = -33979 - -170884/5. Let x = j - 197. Factor -6/5*t**2 + 2/5*t**4 - 8/5*t + 8/5 + x*t**3.
2*(t - 1)**2*(t + 2)**2/5
Let x = -8 + 8. Let g be (2 + -1)*(x - 0). Factor 1/4*l**2 + 0 - 1/4*l**3 + g*l.
-l**2*(l - 1)/4
Let q(o) be the first derivative of 8*o**3/27 + o**2/3 - 2*o/9 - 10. Let q(h) = 0. Calculate h.
-1, 1/4
Let w(g) be the second derivative of g**9/13608 - g**8/2520 + g**7/1260 - g**6/1620 + g**4/6 - 2*g. Let c(p) be the third derivative of w(p). Solve c(o) = 0.
0, 2/5, 1
Let s(r) be the third derivative of r**8/112 - r**7/42 + r**6/120 + r**5/60 - 2*r**2. Factor s(b).
b**2*(b - 1)**2*(3*b + 1)
Let f(d) be the second derivative of -d**9/60480 - d**8/26880 + d**7/10080 + d**6/2880 - d**4/2 - 3*d. Let p(h) be the third derivative of f(h). Factor p(u).
-u*(u - 1)*(u + 1)**2/4
Let l = 77/4 - 1489/84. Let u(d) be the second derivative of 0 - 4/7*d**4 - 16/7*d**2 - 2*d - 1/105*d**6 - l*d**3 - 4/35*d**5. Factor u(j).
-2*(j + 2)**4/7
Let h(o) be the third derivative of 0*o - 9/112*o**8 - 67/3