e of b(y). Factor x(t).
3*(t + 1)*(t + 3)
Let u be (3 + -1)/14*133/38. Factor u*l**2 + 1/2*l - 1.
(l - 1)*(l + 2)/2
Factor 0 - 2/9*v**2 + 2/9*v**3 + 0*v.
2*v**2*(v - 1)/9
Let v(l) be the third derivative of l**7/490 - l**5/140 - 5*l**2. Solve v(o) = 0 for o.
-1, 0, 1
Let z = -2 - -5. Suppose 2*n = -n + l + 3, 0 = -z*l + 9. What is o in -2*o**n + 4*o**2 + 0*o**2 - 2*o = 0?
0, 1
Factor 4/3*c + 4*c**3 - 40/3*c**2 + 8.
4*(c - 3)*(c - 1)*(3*c + 2)/3
Let f(x) = 6*x + 5. Let g be f(6). Suppose 5*p = g - 16. Factor -2*i**3 + 0*i**2 + 0 - i**p + 1/3*i + 8/3*i**4.
-i*(i - 1)**3*(3*i + 1)/3
Find x such that 0 + 1/3*x**4 - 2/3*x**3 + 1/3*x**2 + 0*x = 0.
0, 1
Suppose -3*f - 100 = 7*d - 3*d, -2*d = -f - 40. Let p be ((-6)/f)/((-1)/(-2)). Factor p - 1/3*z**2 + 1/3*z**3 - 1/3*z.
(z - 1)**2*(z + 1)/3
Suppose 0*o + 4*a = -o + 68, 0 = -3*a + 15. Let v be (o/80)/((-1)/(-5)). Factor -132/7*q - 75/7*q**v - 30*q**2 - 24/7.
-3*(q + 2)*(5*q + 2)**2/7
Factor 3*k + 6/5 + 12/5*k**2 + 3/5*k**3.
3*(k + 1)**2*(k + 2)/5
Let d(p) be the second derivative of p + 3/20*p**5 + 0*p**3 - 1/4*p**4 + 0*p**2 + 0. What is g in d(g) = 0?
0, 1
Let v be 1*(3 + -2) - (0 - -1). Factor -4/7*x**4 + v*x + 0 + 2/7*x**3 + 0*x**2 + 2/7*x**5.
2*x**3*(x - 1)**2/7
Let s(z) be the third derivative of -4/27*z**3 + 0*z + 0 + 1/54*z**5 - 2/27*z**4 + 3*z**2. Factor s(x).
2*(x - 2)*(5*x + 2)/9
Factor 5/2*l**2 + 5/4*l**3 - 5*l - 10.
5*(l - 2)*(l + 2)**2/4
Suppose 0*u - 3 = -u. Let d be 15/10*2/1. Factor p**5 + p**u + 2*p**d - 2*p**3 - 2*p**4.
p**3*(p - 1)**2
Let b(p) be the first derivative of p**8/840 - 2*p**7/525 + p**5/75 - p**4/60 + p**2/2 + 1. Let i(x) be the second derivative of b(x). Factor i(h).
2*h*(h - 1)**3*(h + 1)/5
Let x be ((-222)/54 - -4)/((-1)/12). Solve x*t + 4*t**4 + 44/3*t**2 - 8/3 + 44/3*t**3 = 0 for t.
-2, -1, 1/3
Let f = -6 + 8. Suppose 0*h + 4*g - 14 = -h, 19 = 5*h + 3*g. Factor h*m**5 - 1 + 1 - f*m**4 + 0*m**5.
2*m**4*(m - 1)
Let u = 4952/11 + -450. Determine j so that 0 - 2/11*j + 2/11*j**3 - u*j**4 + 2/11*j**2 = 0.
-1, 0, 1
Let p(q) = 2*q - 1 + 2 - 3 + 3. Let v be p(1). Suppose 3*c**5 + 11*c**3 - 40*c**2 - 6 - 18*c**4 + 31*c**v - 8*c**2 + 27*c = 0. What is c?
1, 2
Let l be 2/(1*(-2)/(-3)). Suppose -7 = -l*j + 17. Solve -2*q**2 - q - j + 10*q - q = 0 for q.
2
Let g(y) = -y + 2. Let w be g(-3). Find u such that -4*u**3 + 6*u**4 - 2*u**5 - 2*u**4 + 0*u**w + 2*u**3 = 0.
0, 1
Suppose 5*z + 4*v - 33 = -0*v, -2*v = -4. Let u(r) be the second derivative of -1/6*r**4 + 3/10*r**z + 0 - 2/3*r**3 + 0*r**2 + 2*r. Find m, given that u(m) = 0.
-2/3, 0, 1
Let w be 1/5*(-5 - -10). Let o(l) be the first derivative of 1/2*l**2 - 4/3*l**3 + 3/4*l**4 + 0*l + w. What is z in o(z) = 0?
0, 1/3, 1
Let o = -8 - -10. Suppose i - o = -0. Solve -3*y - 1 - 9/4*y**i = 0 for y.
-2/3
Suppose 4*g + 4 = 20. Factor -6*n - 3*n**2 + 24*n**3 + 4*n**2 - 15*n**4 - g*n**2.
-3*n*(n - 1)**2*(5*n + 2)
Suppose 14*q = -32*q + 92. Suppose 2/3*v**q + 2/3*v + 0 - 2/3*v**3 - 2/3*v**4 = 0. What is v?
-1, 0, 1
Solve 8/5*o**3 + 0 + 6/5*o**2 - 2/5*o = 0.
-1, 0, 1/4
Suppose 2 = 2*k - 2. Let t = 3693/4 - 923. Factor 0 - t*o**3 - 1/2*o - 3/4*o**k.
-o*(o + 1)*(o + 2)/4
Let p(d) be the first derivative of 5*d**4/4 + 5*d**3/3 - 25*d**2/2 + 15*d + 7. Suppose p(t) = 0. Calculate t.
-3, 1
Let w be 2/7 - (-38)/14. Let c be (3 + 68/(-24))*w. Factor 0*b + c*b**3 + 0*b**2 + 0.
b**3/2
Let b be (-2*(-3)/(-36))/(52/(-12)). Let z(v) be the first derivative of b*v**4 - 1 + 8/39*v**3 + 4/13*v**2 + 0*v. Factor z(w).
2*w*(w + 2)**2/13
Let q(h) be the first derivative of -1/6*h**2 + 0*h + 1/9*h**3 + 1. Factor q(t).
t*(t - 1)/3
Let p(z) = 50*z**3 - 80*z**2 + 10*z + 20. Let c(v) = -10*v**3 + 16*v**2 - 2*v - 4. Let h(o) = -11*c(o) - 2*p(o). Factor h(b).
2*(b - 1)**2*(5*b + 2)
Suppose 6*b = -b. What is u in 9/2*u**5 - 3/2*u - 3*u**3 - 6*u**4 + 6*u**2 + b = 0?
-1, 0, 1/3, 1
Let l(j) be the third derivative of 0*j - 10*j**2 + 1/360*j**6 + 5/72*j**4 + 0 - 1/9*j**3 - 1/45*j**5. Suppose l(n) = 0. Calculate n.
1, 2
Let k be (5/(-2))/(1/(-2)). Suppose -k = -t - 2. Solve -31*n**5 + 2*n**2 - n**5 + 48*n**4 - 3*n**t - 15*n**3 = 0.
0, 1/4, 1
Let m(p) be the second derivative of -12*p**7/7 - p**6 + 201*p**5/20 + 81*p**4/4 + 16*p**3 + 6*p**2 + 6*p. Determine a, given that m(a) = 0.
-1, -2/3, -1/2, -1/4, 2
Let s(n) be the second derivative of 3*n**5/20 + 25*n**4/36 + 2*n**3/3 - 2*n**2/3 - 20*n. Solve s(o) = 0.
-2, -1, 2/9
Let i(f) = -f**2 + 5*f. Let v(x) = -3*x**2 + 15*x - 1. Let m(w) = -17*i(w) + 6*v(w). Factor m(r).
-(r - 3)*(r - 2)
Let o(k) be the second derivative of -k**9/52920 - k**8/23520 + k**7/8820 + k**6/2520 + k**4/6 - 2*k. Let c(w) be the third derivative of o(w). Factor c(m).
-2*m*(m - 1)*(m + 1)**2/7
Let q(k) be the first derivative of -k**4/4 - 3*k**3 - 9*k**2/2 - 5*k + 2. Let f be q(-8). Solve -n - f*n + 2*n**2 + 0*n**2 = 0 for n.
0, 2
Let g(s) be the first derivative of s**7/4200 - s**6/900 + s**5/600 + 8*s**3/3 - 5. Let h(t) be the third derivative of g(t). Find a such that h(a) = 0.
0, 1
Let l be (-70)/(-21) + 3/(-1). Let 2/3*c**3 - 1/3*c - 1/3 - 1/3*c**4 - l*c**5 + 2/3*c**2 = 0. What is c?
-1, 1
Let t(r) = r**3 - 8*r**2 - 9*r + 2. Let d be t(9). Find q, given that -3*q - q**d + 7 - 7 = 0.
-3, 0
Let v be (3/(-18))/(2/(-3)). Suppose 0 = 3*o - 3*t - 3, 4*o - 3*t + 0 = 3. Factor 0 + 1/4*f**5 + 1/4*f**2 - v*f**4 - 1/4*f**3 + o*f.
f**2*(f - 1)**2*(f + 1)/4
Let z(w) be the first derivative of -w**4/2 + 2*w**3/3 - 18. Let z(s) = 0. What is s?
0, 1
Let k = 36 + -12. Let p = 99/4 - k. Factor 1/2*s**2 - p*s - 1/2.
(s - 2)*(2*s + 1)/4
Find j, given that 0*j - 2*j**3 + j**5 + j + 0*j = 0.
-1, 0, 1
Suppose 2*x = 11*x. Find d such that 3/4*d**2 + 0 + 3/4*d**4 + 3/2*d**3 + x*d = 0.
-1, 0
Factor -32/9 - 2/9*h**2 - 16/9*h.
-2*(h + 4)**2/9
Solve 3*q - 9/4 - q**3 - 1/4*q**4 + 1/2*q**2 = 0 for q.
-3, 1
Let c(p) be the second derivative of -p**7/60 - p**6/20 + p**5/5 + p**4/3 + p**3/3 + 2*p. Let d(i) be the second derivative of c(i). Factor d(j).
-2*(j - 1)*(j + 2)*(7*j + 2)
Let x(y) be the second derivative of 2*y**7/147 + y**6/105 - 3*y**5/70 - y**4/42 + y**3/21 + 12*y. Find r such that x(r) = 0.
-1, 0, 1/2, 1
Determine s, given that -62*s**4 + 67*s**4 + 10*s**2 - 5*s**2 - 10*s**3 = 0.
0, 1
Let o(i) = i**2 - 6*i + 1. Let c be o(4). Let p = c + 7. Factor 1/3*k - 8/3*k**4 + p*k**2 + 0 - k**5 - 2*k**3.
-k*(k + 1)**3*(3*k - 1)/3
Solve 15*a**5 + 10*a + 49*a**3 + 22*a**4 + 45*a**2 + 14*a**4 + 19*a**4 + 26*a**3 = 0.
-1, -2/3, 0
Let b(c) be the first derivative of -4/7*c - 4 - 3/7*c**2 - 2/21*c**3. Factor b(n).
-2*(n + 1)*(n + 2)/7
Suppose -t = -3*l + 8*l + 2, -2*t = -3*l - 9. Factor -54*g - 15*g**4 + 0 - 3 - 99*g**2 + t + 84*g**3.
-3*g*(g - 3)**2*(5*g + 2)
Let n(a) be the third derivative of a**6/120 + a**5/60 - a**4/6 - 2*a**3/3 - 12*a**2. Factor n(r).
(r - 2)*(r + 1)*(r + 2)
Let 1/2*x**3 + 0 - 3*x**2 - 7/2*x = 0. What is x?
-1, 0, 7
Suppose 1/2*w + 0 - 1/4*w**2 - 1/4*w**3 = 0. Calculate w.
-2, 0, 1
Let h(f) be the second derivative of 3*f**7/7 - 16*f**6/15 - 2*f**5/5 + 3*f**4 - 5*f**3/3 - 2*f**2 + 2*f. Determine p, given that h(p) = 0.
-1, -2/9, 1
Factor 18*g - 3/4*g**2 - 108.
-3*(g - 12)**2/4
Find g, given that 2/3*g**2 + 2/9*g - 2/3 - 2/9*g**3 = 0.
-1, 1, 3
Let n = 15 - 11. Suppose 4*q + n = 6*q. Factor 3/4*t**3 - 7/4*t**q + 0*t + 1.
(t - 2)*(t - 1)*(3*t + 2)/4
Let s(i) be the first derivative of -1/35*i**5 + 1/42*i**6 + 0*i + 0*i**3 + 0*i**2 + 7 + 0*i**4. Factor s(x).
x**4*(x - 1)/7
Let q(c) be the third derivative of -c**6/240 - c**5/80 - c**3/2 + 9*c**2. Let b(a) be the first derivative of q(a). Factor b(u).
-3*u*(u + 1)/2
Let f(p) = p**4 - p**3 + p**2 - p + 1. Let w(k) = -2*k**4 - k**3 - k**2 + 3*k. Let n(x) = f(x) + w(x). Factor n(h).
-(h - 1)*(h + 1)**3
Let z = 1 + 10. Suppose 4*h - g = z, -1 = h - 2*h + 2*g. Suppose -2*c**3 - h*c**3 - 2*c**2 + 3*c**3 = 0. What is c?
-1, 0
Let w be -1*2 - 9/((-468)/112). Suppose 0 + w*z + 2/13*z**2 = 0. What is z?
-1, 0
Let m(s) = s + 1. Let t(q) = -405*q**2 - 94*q - 9. Let f(j) = -4*m(j) - t(j). Factor f(c).
5*(9*c + 1)**2
Factor 9*p**3 - 9*p**3 + 2*p**3 + 2*p**2 - 4*p.
2*p*(p - 1)*(p + 2)
Suppose 4*k - 18 = 5*a, k + 4*a = -7 + 1. Factor 2/5*y**k + 0*y + 0 - 2/5*y**3.
-2*y**2*(y - 1)/5
Let i = -527/8 + 18563/40. Let q = i + -397. F