0. Factor -2*l**4 - l**4 + 3*l**2 + 3*l**3 - q*l - 3*l + 3*l.
-3*l*(l - 1)**2*(l + 1)
Let t(a) be the first derivative of 16*a**3/15 + 34*a**2/5 + 16*a/5 + 4. Factor t(h).
4*(h + 4)*(4*h + 1)/5
Let u(m) = 5*m**4 - 4*m**3 - 21*m**2 + 20*m + 20. Let h(a) = a**3 - a**2. Let o(i) = 6*h(i) - u(i). Factor o(f).
-5*(f - 2)**2*(f + 1)**2
Let g be 5 + (-18)/6 + 0. Factor -1/3*b - b**3 + 0 - b**g - 1/3*b**4.
-b*(b + 1)**3/3
Let r be (6 - 6)/(-2 + 1). Let z be -3*2/(-3) - r. Solve -m**3 + 8 - 5*m + 0*m - 6 + 4*m**z = 0.
1, 2
Let o = -6 + 10. Factor 0*k**2 + o*k**3 - 3*k**4 + 2*k**3 + 4*k**2 - k**2 - 6*k.
-3*k*(k - 2)*(k - 1)*(k + 1)
Let i = 19/78 - 1/13. Let b(o) be the second derivative of -5/12*o**4 + 1/3*o**3 - 9/20*o**5 + i*o**7 + 0 + 0*o**2 + 1/6*o**6 - o. Let b(x) = 0. Calculate x.
-1, 0, 2/7, 1
Let u(n) = -n**3 + n + 2. Let c(p) = p**3 + p**2 - 1. Let i(d) = -2*c(d) - u(d). Factor i(r).
-r*(r + 1)**2
Let c(m) be the first derivative of 3*m**5/10 - 5*m**3/2 + 6*m + 68. Let c(n) = 0. Calculate n.
-2, -1, 1, 2
Suppose 0 = 3*q + 3*j - 2*j - 12, 3*j - 21 = -4*q. Suppose q*h - 4*v + 2*v - 4 = 0, 5*v = 4*h + 4. Solve 2*c**5 + c**3 - 5*c**3 + 4*c**5 - 2*c**h = 0.
-2/3, 0, 1
Let k be (-49)/110 + 10/25. Let c = 9/44 - k. Solve 0 - c*o**5 - 1/2*o**2 + 1/4*o + 1/2*o**4 + 0*o**3 = 0 for o.
-1, 0, 1
Let u(n) be the second derivative of -n**7/14 - n**6/10 + 3*n**5/20 + n**4/4 + n. Let u(t) = 0. What is t?
-1, 0, 1
Suppose -45*u**3 + 26*u**4 + 6*u**5 + 14*u**5 - 11*u**4 + 10*u**2 = 0. Calculate u.
-2, 0, 1/4, 1
Let g(i) be the first derivative of 98*i**5/25 + 63*i**4/5 + 218*i**3/15 + 36*i**2/5 + 8*i/5 - 24. Factor g(w).
2*(w + 1)**2*(7*w + 2)**2/5
Let t(h) be the first derivative of h**3/12 + h**2/4 + 6. Factor t(b).
b*(b + 2)/4
Suppose 14/11*q**3 + 6/11*q**2 + 4/11*q**4 - 8/11 - 16/11*q = 0. Calculate q.
-2, -1/2, 1
Let o(s) be the first derivative of 1/2*s + 0*s**3 - 2 - 1/2*s**2 - 1/10*s**5 + 1/4*s**4. Factor o(a).
-(a - 1)**3*(a + 1)/2
Let y be -2 + -1*2 + 16. Suppose 5*r - 11 = 29. Find b such that y*b - 9 - 1 - r - 2*b**2 = 0.
3
Let f(k) be the first derivative of 2*k**3/9 + k**2 + 4*k/3 - 7. Factor f(n).
2*(n + 1)*(n + 2)/3
Let g(u) = -u + 6. Let y be g(4). Let w be 6/(-21) - (-60)/14. Determine i, given that 8*i - w*i**y + 0*i - 4*i + i**3 = 0.
0, 2
Suppose -5*t = -3*t - 6. Let -1 + v - 3/4*v**4 - v**t + 7/4*v**2 = 0. What is v?
-2, -1, 2/3, 1
Let b(g) be the third derivative of -g**7/50 - g**6/100 + 21*g**5/100 + g**4/2 + 2*g**3/5 + 9*g**2. Solve b(o) = 0.
-1, -2/7, 2
Let x be (-4)/84 - 5/(-15). Factor -2/7*b**2 + x + 0*b.
-2*(b - 1)*(b + 1)/7
Let t(v) be the first derivative of 11*v**3 - 29*v**2/8 - v/4 + 27. Factor t(z).
(4*z - 1)*(33*z + 1)/4
Let y = 5 + -2. Suppose -4 = -y*i + 2. Factor 0 - 2*o**3 + 2*o**2 - 6*o - i - 8*o**2.
-2*(o + 1)**3
Factor 5*a + a**4 - 3*a**3 - 2 + 2*a**3 + 0*a**4 - 3*a**2.
(a - 1)**3*(a + 2)
Let 8/3*r - 74/15*r**2 - 6/5*r**4 + 4*r**3 - 8/15 = 0. Calculate r.
2/3, 1
Let o be (2 + 12)/(-3 - -5). Let t be (-32)/112 + 4/o. Solve 4/7*z - 4/7*z**3 - t*z**2 + 2/7*z**4 + 0 = 0.
-1, 0, 1, 2
Let w = 12 - 0. Suppose 0 = -6*v + 2*v + w. Factor -7*h**2 - 7/2*h - 1/2 - 4*h**v.
-(h + 1)*(2*h + 1)*(4*h + 1)/2
Let u(h) be the second derivative of -2*h**7/3 + 13*h**6/15 + 27*h**5/70 - 8*h**4/21 - 4*h**3/21 + 2*h. Find r such that u(r) = 0.
-2/7, 0, 1/2, 1
Suppose -7*c - 20 + 34 = 0. Let j(u) be the first derivative of 8/5*u**5 - 1/3*u**6 - 3*u**4 + 0*u + 8/3*u**3 - u**c - 2. Suppose j(d) = 0. What is d?
0, 1
Let s(k) be the third derivative of k**10/50400 - k**8/3360 + k**6/240 - k**5/15 - k**2. Let q(l) be the third derivative of s(l). Determine n so that q(n) = 0.
-1, 1
Factor 4*q**4 + 18*q**3 - q**3 - 3*q**2 - 12*q - q**2 - 5*q**3.
4*q*(q - 1)*(q + 1)*(q + 3)
Suppose -5*f = -f - 692. Let q = 1559/9 - f. Factor -2/3*h**2 - q - 8/9*h.
-2*(h + 1)*(3*h + 1)/9
Let s = 172 - 167. Let h(j) be the first derivative of 0*j + 1/2*j**2 - s - 1/3*j**3 - 1/4*j**4 + 1/5*j**5. What is o in h(o) = 0?
-1, 0, 1
Suppose 3 = l - 0. Suppose -u + 2 = -z - 2, l*u = 4*z + 14. Let 0*k**3 + u*k**3 - 3*k**3 = 0. Calculate k.
0
Let d(p) be the first derivative of 4*p**5/5 + 3*p**4 - 8*p**3 - 56*p**2 - 96*p - 14. Find m such that d(m) = 0.
-2, 3
Let f(w) = -4*w**5 + 84*w**4 - 20*w**3 - 60*w**2. Let z(x) = -x**5 + 17*x**4 - 4*x**3 - 12*x**2. Let h(n) = 5*f(n) - 24*z(n). Factor h(g).
4*g**2*(g - 1)*(g + 1)*(g + 3)
Let w(u) = 2*u - 4. Let f be w(3). Suppose -5*c = -13 - f. Suppose 2*h**2 - 3*h**2 - 3*h**3 + 2*h**2 + h**4 + 6*h**c - 3*h - 2 = 0. What is h?
-2, -1, 1
Let k(w) = -3*w**5 - 3*w**4 - 2*w**3 + 4*w**2 + 4. Let b(y) = 7*y**5 + 7*y**4 + 4*y**3 - 9*y**2 - 9. Let q(p) = -4*b(p) - 9*k(p). What is m in q(m) = 0?
-2, 0, 1
Let y = 34 + -31. Suppose -5*t - 2*a - a + 57 = 0, 39 = 3*t + 3*a. What is o in 15*o**2 - 7*o + 5*o**3 - t*o**y + 1 - 5*o**3 = 0?
1/3, 1
Suppose -1 = 4*p + 7. Let g be (28/(-35))/(p/1). Suppose 14/5*r**4 + 0 - 18/5*r**3 + 2*r**2 - 4/5*r**5 - g*r = 0. What is r?
0, 1/2, 1
Let z(x) be the second derivative of x**7/945 - x**6/135 + 4*x**4/27 - 16*x**3/27 + 9*x**2/2 + 3*x. Let i(n) be the first derivative of z(n). Factor i(q).
2*(q - 2)**3*(q + 2)/9
Let c(b) be the first derivative of -25*b**4/16 + b**2/2 + 5. Let c(f) = 0. What is f?
-2/5, 0, 2/5
Let t(r) = 8*r**4 - 8*r**3 - 8*r**2 + 8*r + 5. Let f(l) = -15*l**4 + 15*l**3 + 15*l**2 - 15*l - 9. Let o(p) = 5*f(p) + 9*t(p). Let o(s) = 0. Calculate s.
-1, 0, 1
Let h(x) be the third derivative of 5*x**8/84 - 25*x**7/42 + 11*x**6/12 + 5*x**5/3 - 65*x**4/12 + 25*x**3/6 + 16*x**2. Solve h(s) = 0 for s.
-1, 1/4, 1, 5
Let s(v) = -v**2 - 8*v - 8. Let d be s(-6). Let y be 1/(0 + -2 + d). Factor y*c**3 - 1/2*c**5 + 1/2*c**4 + 0*c + 0 - 1/2*c**2.
-c**2*(c - 1)**2*(c + 1)/2
Let n(o) be the third derivative of o**5/72 + 5*o**4/144 - 10*o**2. Factor n(z).
5*z*(z + 1)/6
Let d = 213 - 211. Factor -2/7*j + 0 - 2/7*j**d.
-2*j*(j + 1)/7
Let m = -7 - -11. Let n(p) be the first derivative of -1/8*p**m - 2 + 1/6*p**3 + 0*p + 1/4*p**2 - 1/10*p**5. Factor n(h).
-h*(h - 1)*(h + 1)**2/2
Let 1/3*f**3 + 0*f**2 - 1/6*f**4 - 1/3*f + 1/6 = 0. Calculate f.
-1, 1
Find o, given that -14/9*o**2 + 4/9*o + 14/9*o**4 + 0 - 4/9*o**3 = 0.
-1, 0, 2/7, 1
Let d(w) be the second derivative of 0*w**3 + 3*w + 0*w**2 + 0 + 1/45*w**6 + 0*w**4 + 1/30*w**5. Factor d(p).
2*p**3*(p + 1)/3
Let h be 4 - 11/(-9)*-3. Factor -2/3*q**4 - h*q**5 + 0 + 1/3*q + 2/3*q**2 + 0*q**3.
-q*(q - 1)*(q + 1)**3/3
Let d(y) be the third derivative of y**5/60 - y**4/12 - y**3/2 + 34*y**2. Factor d(n).
(n - 3)*(n + 1)
Let g(h) be the third derivative of h**7/56 + 5*h**6/96 - h**5/3 - 5*h**4/8 - h**2 + 4*h. Suppose g(q) = 0. Calculate q.
-3, -2/3, 0, 2
Suppose -1 = -2*c + 7, 4*c - 22 = 2*u. Let h = 6 + u. Let 2*w**3 - 8*w**3 - 5*w**h + w**3 + 4*w + 6*w**2 = 0. What is w?
-2/5, 0, 1
Let v(o) be the third derivative of -o**7/315 - o**6/90 + o**4/18 + o**3/9 - 8*o**2. Suppose v(l) = 0. What is l?
-1, 1
Let i be (-12)/(-3) - 35/2. Let p = i + 15. Solve 3/2*r**2 + 0*r - p = 0.
-1, 1
Suppose -4*n + 4 = g - 1, 4*n - 4*g + 20 = 0. Factor 7/2*v**2 - 7/2*v**4 + n - v + v**3.
-v*(v - 1)*(v + 1)*(7*v - 2)/2
Let v(d) be the second derivative of -d**6/30 - d**5/20 + 7*d**4/12 + d**3/6 - 3*d**2 + 8*d. Suppose v(z) = 0. What is z?
-3, -1, 1, 2
Solve 4/5*a**2 + 0 + 2/5*a + 2/5*a**3 = 0 for a.
-1, 0
Let s(d) be the second derivative of d**4/36 + d**3/18 - d**2 + 7*d. Find f, given that s(f) = 0.
-3, 2
Let w be (-1)/(-3 + (-70)/(-24)). Let y be 22/24 + w/16. Solve 2/3 - 2/3*c**2 + 5/3*c**3 - y*c = 0.
-1, 2/5, 1
Let a(f) be the first derivative of -f**5/10 + f**4/6 + f + 1. Let h(p) be the first derivative of a(p). Find i, given that h(i) = 0.
0, 1
Suppose 5 = v + 4*v. Let b(r) = 2*r**2 + 4*r + 3. Let h(u) = 1. Let o(n) = v*b(n) - h(n). Find c such that o(c) = 0.
-1
Let o(p) = -10*p**4 + 25*p**3 - 23*p**2 + 15*p - 3. Let a(c) = -c**4 + c**3 + 0*c**4 + 0*c**4 + 2*c**2 - c**2. Let n(z) = -4*a(z) + o(z). Factor n(t).
-3*(t - 1)**3*(2*t - 1)
Let q be (-1)/(4/24*-2). Suppose 8 = q*k + k. Factor -2*n - 5/2*n**k - n**3 - 1/2.
-(n + 1)**2*(2*n + 1)/2
Let y be 8*24/640*(-4)/(-3). Factor y*j**3 - 2/5*j**4 - 2/5*j**5 + 0*j + 2/5*j**2 + 0.
-2*j**2*(j - 1)*(j + 1)**2/5
Let a = -24 - -24. Let i(q) be the third 