5*l**4 + 8/5*l**3 + z*l**2 + 4/5*l + 0.
2*l*(l + 1)**2*(l + 2)/5
Let w(u) be the second derivative of u**6/75 - u**5/50 - u**4/15 + 10*u. Factor w(t).
2*t**2*(t - 2)*(t + 1)/5
Let i(w) be the first derivative of -w**5/20 - 5*w**4/16 - w**3/4 + 9*w**2/8 + 10. Solve i(t) = 0 for t.
-3, 0, 1
Suppose -7*v - 384 = -3*v. Let z = v + 482/5. Factor 2/5*l**2 + 2/5*l**3 - z - 2/5*l.
2*(l - 1)*(l + 1)**2/5
Let a be (61/70 - (-24)/(-30))*4. Factor -8/7 - a*s**2 - 8/7*s.
-2*(s + 2)**2/7
Let n be (0/(-3 + -1))/2. Let r = 0 - n. Factor 0 + 2/5*u**2 + r*u - 2/5*u**3.
-2*u**2*(u - 1)/5
Factor 3*l**3 - l + l**3 - 3*l + 0*l**3.
4*l*(l - 1)*(l + 1)
Suppose 3*s - 18 - 9 = 0. Factor -9*y + y**3 + 3*y**3 + y**2 + s*y.
y**2*(4*y + 1)
Let a = 49 - 34. Factor 2*t**4 + t**4 + 0*t + 27*t**2 + 6 - 15*t**3 - a*t - 6*t.
3*(t - 2)*(t - 1)**3
Let j = 74 + -71. Factor 0*s + 2/5*s**4 + 4/5*s**j + 0 + 2/5*s**2.
2*s**2*(s + 1)**2/5
Let l(t) be the first derivative of -t**5/110 + t**4/33 + 2*t - 3. Let d(f) be the first derivative of l(f). Find g, given that d(g) = 0.
0, 2
Factor -28*o**2 + 58*o**2 + 75*o**3 - 73*o**2 - 60*o + 45*o**4 + 40 - 27*o**2.
5*(o + 1)*(o + 2)*(3*o - 2)**2
Let y(t) be the first derivative of -t**5/110 + 2*t**4/33 - 4*t**3/33 - 3*t - 1. Let u(n) be the first derivative of y(n). Solve u(r) = 0 for r.
0, 2
Solve -5/4*w**2 - 45/4 - 15/2*w = 0 for w.
-3
Let f(a) be the third derivative of 1/2*a**3 + 0 + 0*a + 1/112*a**8 - 3/8*a**4 + 4*a**2 + 1/10*a**5 + 1/20*a**6 - 3/70*a**7. Factor f(i).
3*(i - 1)**4*(i + 1)
Suppose -4 = -o - 1. Let a(j) be the first derivative of -1/3*j - 1/12*j**4 - 1/2*j**2 - 3 - 1/3*j**o. What is f in a(f) = 0?
-1
Suppose -n = -2*n + 3*g - 5, -3*n = 5*g - 27. Suppose 4*o**3 - 12*o + 12*o + 11*o**5 - o**5 - 14*o**n = 0. What is o?
0, 2/5, 1
Let w(t) be the second derivative of 1/9*t**3 + 0 - t + 1/6*t**2 - 1/90*t**6 - 1/30*t**5 + 0*t**4. What is o in w(o) = 0?
-1, 1
Let u(b) be the first derivative of -b**6/105 - b**5/70 + b**4/84 + b**2/2 - 2. Let n(y) be the second derivative of u(y). Solve n(p) = 0 for p.
-1, 0, 1/4
Let m be ((-3)/9)/((-3)/3). Let d(i) be the first derivative of 1/2*i**2 + 1 + m*i**3 + 0*i. Factor d(y).
y*(y + 1)
Let w(c) be the third derivative of 1/3*c**3 + 1/60*c**6 + 0 + 0*c - 1/12*c**4 - 1/30*c**5 - 2*c**2. Solve w(i) = 0.
-1, 1
Let p = -23/3 - -6. Let f = 13/6 + p. Factor 1/2*r**3 + f*r + r**2 + 0.
r*(r + 1)**2/2
Let l(y) be the third derivative of y**5/40 - y**4/4 + 3*y**3/4 + 10*y**2. Solve l(f) = 0 for f.
1, 3
Factor 3*i**2 + 2*i**2 + 2 - 6*i - 4*i**3 - 1 + 4*i**2.
-(i - 1)**2*(4*i - 1)
Let t = -13 - -21. Suppose 2*a + q = t, -q - 1 = -a - 0. Find m, given that -m + m**a + 1 - 1/4*m**4 - 3/4*m**2 = 0.
-1, 1, 2
Let k = -885 - -4429/5. Factor k*f + 4/5*f**4 - 12/5*f**2 + 8/5 - 4/5*f**3.
4*(f - 2)*(f - 1)*(f + 1)**2/5
Let h(l) = l - 2. Let c be h(6). Let 7*b**2 - 5*b**2 - b**4 - b**c = 0. Calculate b.
-1, 0, 1
Let y(u) be the second derivative of -1/45*u**6 + 0*u**5 + 1/3*u**4 + 6*u + u**2 + 0 - 8/9*u**3. Solve y(s) = 0 for s.
-3, 1
Let b be 172/36 + ((-4)/18)/(-1). Factor -2/7*f - 4/7*f**2 + 0 + 0*f**3 + 4/7*f**4 + 2/7*f**b.
2*f*(f - 1)*(f + 1)**3/7
Let j be 0/(-1 + -4 + 3). Let -2/9*y**2 + j*y + 2/9 = 0. Calculate y.
-1, 1
Let x(g) be the first derivative of -g**6/1620 + g**4/108 - 7*g**3/3 + 4. Let w(a) be the third derivative of x(a). Suppose w(t) = 0. What is t?
-1, 1
Let i(w) = 3*w**3 - 3*w**2 + 4*w. Let n(f) = 2*f**3 - 2*f**2 + 4*f - 1. Let g(d) = 3*i(d) - 4*n(d). Factor g(u).
(u - 2)*(u - 1)*(u + 2)
Let h be ((-72)/(-162))/(6/27). Find r such that -9/2*r**h + 7/2*r**5 + 0 - 5/2*r**3 + 9/2*r**4 - r = 0.
-1, -2/7, 0, 1
Let a be (-11)/(-2)*1/2. Let f = -9/4 + a. Factor -1/4*i**2 - f*i - 1/4.
-(i + 1)**2/4
Suppose 4*s + 3*w = 3*s + 3, 2 = 3*s + 2*w. Let n(p) be the second derivative of 4*p + s + 0*p**2 - 1/54*p**4 + 0*p**3. Factor n(i).
-2*i**2/9
Let p = -53 + 56. Let 8/3*w**p - 2*w**2 + 0 - 2/3*w = 0. Calculate w.
-1/4, 0, 1
Let x(z) = -2*z**2 + z - 4. Let m(u) = u**2 + 2. Let d(h) = 7*m(h) + 3*x(h). Let v be d(-3). Let 1 + v*p**4 - 2*p**3 + 2*p - 2*p**2 - 1 = 0. Calculate p.
-1, 0, 1
Let d(r) be the second derivative of r**7/42 + r**6/30 - 3*r. Determine z so that d(z) = 0.
-1, 0
Let m be 9/6*8/6. Factor -6*b**m - b**3 + 4*b**2 + 3*b**2 - 2*b**2.
-b**2*(b + 1)
Let o(v) = 2*v**2 - 16*v + 4. Let c be o(8). Determine h so that 1/2 - 7/4*h + 3/4*h**2 + 7/4*h**3 - 5/4*h**c = 0.
-1, 2/5, 1
Let r = 772/1295 - -1/259. Factor -12/5*d**3 + 0 + r*d**4 + 12/5*d**2 + 0*d.
3*d**2*(d - 2)**2/5
Let d(p) = p**3 - 6*p**2 + 5*p - 1. Let i be d(5). Let n = 4 + i. Factor -v**4 - 13*v - 12*v**2 - 8*v**n + 5*v - v**4 - 2.
-2*(v + 1)**4
Let f be 10/3 + -3*12/18. Let -2/3*t**3 + 0 - f*t + 2*t**2 = 0. Calculate t.
0, 1, 2
Let b(k) be the third derivative of k**6/100 - 8*k**5/75 + k**4/4 + 6*k**3/5 - 8*k**2. Find m such that b(m) = 0.
-2/3, 3
What is m in 2/3*m**3 - 1/3*m**4 + 0*m - 2/3*m**5 + 0 + 1/3*m**2 = 0?
-1, -1/2, 0, 1
Let g(j) be the third derivative of 0*j**3 + 0*j + 2*j**2 + 0 + 1/360*j**6 + 1/90*j**5 + 0*j**4. Factor g(w).
w**2*(w + 2)/3
Let l(p) = -p**4 - 2*p**3 + 3*p**2 + 2*p - 2. Let r(k) = k - 1. Let b = 9 + -5. Let m(w) = b*r(w) + 2*l(w). Find d, given that m(d) = 0.
-2, 1
Let z(t) be the second derivative of -t**7/42 - 17*t**6/150 - 21*t**5/100 - 11*t**4/60 - t**3/15 - 3*t. Find v such that z(v) = 0.
-1, -2/5, 0
Let x = -39/10 + 102/5. Let t = x + -16. Factor -t*y + 0 + 3/4*y**2 - 1/4*y**3.
-y*(y - 2)*(y - 1)/4
Suppose 0 = -12*m - 8*m - 5*m. Factor -6*h**2 + 0*h + m - 3/2*h**3.
-3*h**2*(h + 4)/2
Suppose -5*b = -35 + 15. Suppose -2*z = -5*c + 6, 0*c - b*z = 3*c + 12. Factor 0*o**3 + 0 + 3/2*o**2 + c*o - 3/2*o**4.
-3*o**2*(o - 1)*(o + 1)/2
Factor -4/15*n**4 + 0 + 2/15*n**5 + 0*n + 0*n**2 + 2/15*n**3.
2*n**3*(n - 1)**2/15
Let n(x) = 2*x**5 - 6*x**4 - x**3 + 5*x. Let o(j) = j**4 - j. Let p(c) = -n(c) - 5*o(c). Let p(i) = 0. Calculate i.
-1/2, 0, 1
Suppose 4*q - q + 36 = 0. Let a = -8 - q. Factor 0 - 1/2*r**a - 1/2*r**2 + 0*r + r**3.
-r**2*(r - 1)**2/2
Let f(w) = -3*w**2 + 21*w. Let o be f(7). Let b be (-22)/(-6) - (6 + -3). Let o - 4/9*a + b*a**2 - 10/9*a**5 - 2/3*a**4 + 14/9*a**3 = 0. Calculate a.
-1, 0, 2/5, 1
Factor 3*a**3 - 2*a**3 + 3*a - 4*a.
a*(a - 1)*(a + 1)
Let d(a) be the third derivative of -a**5/510 + a**4/102 + 8*a**3/51 + 3*a**2 - 4*a. Suppose d(v) = 0. Calculate v.
-2, 4
Suppose 0 = 18*o - 6*o + 6*o. Factor 4/7*p**3 + o + 0*p + 1/7*p**2.
p**2*(4*p + 1)/7
Let b(d) = d**3 - 4*d**2 + 3*d - 1. Let g be b(2). Let r be 3 + (3 - 0) + g. Factor -1 + 4*w**2 + r*w - w**2 - 5.
3*(w - 1)*(w + 2)
Suppose x = 4*x. Suppose -q + 6*q = x. Factor -2/3*s**2 + 0*s**3 + 1/3 + q*s + 1/3*s**4.
(s - 1)**2*(s + 1)**2/3
Let m(g) be the third derivative of g**5/30 + g**4/4 - 8*g**2 + 1. Factor m(k).
2*k*(k + 3)
Let r(p) be the second derivative of p**5/30 - p**3/3 + p**2 - 3*p. Let l(j) be the first derivative of r(j). Factor l(m).
2*(m - 1)*(m + 1)
Let u = -150 + 152. Factor -2/5*h**3 + 2/5*h**u - 2/5 + 2/5*h.
-2*(h - 1)**2*(h + 1)/5
Let p = 572 - 572. Factor p*o - 1/5 + 1/5*o**2.
(o - 1)*(o + 1)/5
Let a(z) = z**3 - z**2 + z + 1. Let b = -24 + 14. Let v = -6 - b. Let h(f) = -5*f**3 + 4*f**2 - 3*f - 4. Let s(m) = v*a(m) + h(m). What is q in s(q) = 0?
-1, 0, 1
Let i = 21 - 17. Let y be 0*i*4/32. Factor 2/5*m**4 + 0*m**2 - 1/5*m**5 + 0 + y*m - 1/5*m**3.
-m**3*(m - 1)**2/5
Let z(a) be the third derivative of 0 + 0*a - 1/60*a**5 + 0*a**3 + 0*a**4 - a**2. What is m in z(m) = 0?
0
Factor -8*f**2 + 2*f + 2*f**5 + 8*f**2 - 4*f**3 + 0*f**3.
2*f*(f - 1)**2*(f + 1)**2
Let w = 15/2 - 179/24. Let i(a) be the second derivative of -1/8*a**2 - 1/80*a**5 - 2*a + 0 + 1/48*a**4 + w*a**3. Factor i(z).
-(z - 1)**2*(z + 1)/4
Let h be 30/(-75) - 934/360 - -3. Let n(w) be the third derivative of 0*w**3 + 0*w**5 + 0 + 0*w - 1/36*w**4 + 4*w**2 + h*w**6. Factor n(y).
2*y*(y - 1)*(y + 1)/3
Let x = 78 - 76. Suppose 8/3*s**2 - 2/3*s**3 + 0 - x*s = 0. Calculate s.
0, 1, 3
Let n(d) be the third derivative of -d**6/24 + 3*d**5/4 + 5*d**4/24 - 15*d**3/2 - 8*d**2. Factor n(c).
-5*(c - 9)*(c - 1)*(c + 1)
Let f(k) be the second derivative of k**4/12 + 13*k**3/6 + 3*k**2/2 - 9*k. Let w be f(-13). Factor -2*t**4 + 0*t - 2/3*t**2 - 2*t**w - 2/3*t**5 + 0.
-2*t**2*(t + 1)