*n**5 - n**2 + 0*n. Factor v(c).
(c + 1)**2/3
Suppose 4*r = -2*k + 16, 0 = 4*k + 5*r - 6 - 26. Suppose 2*o - k = -2*o. Factor 7*l - l**2 + l**o - 5*l - 2*l**3.
-2*l*(l - 1)*(l + 1)
Factor 0*p**2 + 0 - 2/5*p**3 + 0*p.
-2*p**3/5
Let v(k) = 2*k**4 + 6*k**3 + 3*k**2 - k + 5. Let q(f) = f**4 + 3*f**3 + 2*f**2 + 3. Let y(x) = -5*q(x) + 3*v(x). Factor y(t).
t*(t - 1)*(t + 1)*(t + 3)
Let q(k) be the second derivative of 5/33*k**3 + 1/110*k**5 + 2/33*k**4 + 2/11*k**2 + 0 + 2*k. Factor q(a).
2*(a + 1)**2*(a + 2)/11
Let w(s) be the first derivative of 4/9*s**3 + 4/15*s**5 - 1/2*s**4 + 8 + 0*s - 1/18*s**6 - 1/6*s**2. Suppose w(a) = 0. Calculate a.
0, 1
Let s(l) be the second derivative of l**6/6 - 3*l**5/4 - 25*l**4/12 + 5*l**3/2 + 10*l**2 - 23*l. Suppose s(n) = 0. What is n?
-1, 1, 4
Let f(t) be the second derivative of 1/120*t**5 + 0 + 0*t**2 - 2*t - 1/72*t**4 + 0*t**3. Factor f(u).
u**2*(u - 1)/6
Find m, given that m**2 - 9*m**3 + 13*m**3 - 5*m**3 = 0.
0, 1
Let d be ((-8)/(-3) - 2) + 356/267. Let y be (2/(-5))/(7/(-5)). Factor 0 + 0*m**d + y*m**3 - 2/7*m.
2*m*(m - 1)*(m + 1)/7
Let r(l) be the first derivative of -l**4/16 - l**3/4 - 3*l**2/8 - l/4 - 8. Factor r(m).
-(m + 1)**3/4
Suppose x = -0*x - 4*u - 8, 0 = -u - 2. Suppose -5*b + 3*b = x. Let b*l**4 - 1/4*l + 0 + 0*l**2 - 1/4*l**5 + 1/2*l**3 = 0. What is l?
-1, 0, 1
Suppose -4 = 2*p - 0. Let x be 6/4 + (-1)/p. Suppose -2/5*b**x + 8/5*b - 8/5 = 0. Calculate b.
2
Let d = 5 - 1. Let g(x) be the third derivative of 0*x - 3/10*x**5 + 0*x**3 - 1/6*x**d - 1/15*x**6 + 0 - 2*x**2. What is i in g(i) = 0?
-2, -1/4, 0
Let l = -32/3 + 227/21. Factor 1/7*j**2 + 2/7*j**3 - 2/7*j - l*j**4 + 0.
-j*(j - 2)*(j - 1)*(j + 1)/7
Let p be -2*(-20)/(-8) - -5. Let r be (((-1)/2)/1)/(-1). Factor -r*g**5 + 1/2*g**3 + 0*g + p*g**2 + 0 + 0*g**4.
-g**3*(g - 1)*(g + 1)/2
Let o = -15/266 - 17925/532. Let m = o + 34. Solve 0 - m*q**2 + 0*q = 0 for q.
0
Suppose 3 = 5*s - 12. Factor -1 - n - n - n**s + 0*n - 3*n**2 - n.
-(n + 1)**3
Let k(f) be the second derivative of 9*f**5/110 + 7*f**4/33 + f**3/33 - 4*f**2/11 + 6*f + 1. Let k(m) = 0. Calculate m.
-1, 4/9
Let b(v) be the third derivative of -v**9/9072 + v**7/2520 + 7*v**3/6 - 5*v**2. Let a(r) be the first derivative of b(r). Suppose a(w) = 0. What is w?
-1, 0, 1
Let k(x) be the second derivative of -x**4/12 + x**3/2 + 3*x. Factor k(l).
-l*(l - 3)
Let g(r) be the third derivative of r**8/84 - r**7/105 - 7*r**6/60 + 7*r**5/30 + r**4/12 - 2*r**3/3 - 22*r**2. Suppose g(s) = 0. Calculate s.
-2, -1/2, 1
Let i(p) be the second derivative of p**5/20 - p**4/4 - 2*p**3/3 + 3*p. Solve i(m) = 0 for m.
-1, 0, 4
Suppose g - 75 = -5*f + 4*g, -3*f = 2*g - 45. Suppose 3*v - f = -n, 4 = n + v - 1. Solve -2*h + 2*h**2 + n + 1/2*h**5 - 2*h**4 + 3/2*h**3 = 0.
-1, 0, 1, 2
Let t = 2/131 - -252/655. Let 0*j + 0 + 2/5*j**2 - t*j**5 + 2/5*j**3 - 2/5*j**4 = 0. What is j?
-1, 0, 1
Let v be 6/(-4)*4/(-6). Let n(u) = u**2 - 1. Let y be n(v). Factor -8/7*m**2 + y - 4/7*m**4 + 10/7*m**3 + 2/7*m.
-2*m*(m - 1)**2*(2*m - 1)/7
Let b = 6 - 4. Factor -3*n + 5*n + b*n**2 + 4 - 4*n**2 + 0*n**2.
-2*(n - 2)*(n + 1)
Factor 2/3*o**2 - 8/3*o - 10/3.
2*(o - 5)*(o + 1)/3
What is y in -3/2*y**3 - 1/2*y**2 + 0*y + 0 = 0?
-1/3, 0
Let f = -5/11 - -31/44. Let m(k) = k + 9. Let p be m(-9). Solve 1/4*o + p + f*o**2 = 0 for o.
-1, 0
Let r be 42/(-33)*-1 + (-2 - -2). What is q in r*q**4 + 46/11*q**3 + 8/11*q + 40/11*q**2 + 0 = 0?
-2, -1, -2/7, 0
Suppose -3829*u = -3822*u - 14. Factor 14/11*b - 10/11*b**u - 4/11.
-2*(b - 1)*(5*b - 2)/11
Let s(k) be the second derivative of 7/6*k**3 + 4*k + 1/30*k**6 + k**2 + 0 + 3/4*k**4 + 1/4*k**5. Factor s(w).
(w + 1)**3*(w + 2)
Let b = 125 - 119. Let k(g) be the third derivative of 0*g + 0*g**4 + 0*g**3 - g**2 + 1/60*g**b + 1/30*g**5 + 0. Factor k(a).
2*a**2*(a + 1)
Let z = 308/745 + -2/149. Let r(x) be the first derivative of 0*x + 0*x**2 + z*x**5 - x**4 + 3 + 2/3*x**3. Factor r(p).
2*p**2*(p - 1)**2
Let t(z) = 2*z**2 - 106*z + 676. Let k(l) = l**2 + l. Let j(s) = 2*k(s) + t(s). Factor j(p).
4*(p - 13)**2
Let w be (-8)/(-10)*(-690)/(-184). What is h in -2/7*h**w - 6/7*h**2 - 2/7 - 6/7*h = 0?
-1
Let l = -1016/65 + 744/13. Let p = 42 - l. Find x such that 0*x - 1/5*x**4 + p*x**2 + 0*x**3 - 1/5 = 0.
-1, 1
Let x(u) be the second derivative of -1/96*u**4 - 1/12*u**3 - 1/4*u**2 + 4*u + 0. Solve x(j) = 0 for j.
-2
Suppose -5*l + o + 60 = 0, 39 - 3 = 3*l + 5*o. Let f be 1/(-2) - (-22)/l. Factor f + 14/3*k + 10/3*k**2.
2*(k + 1)*(5*k + 2)/3
Let z(x) be the second derivative of -x**5/180 + x**4/72 + x**3/9 + x**2 - 2*x. Let t(o) be the first derivative of z(o). Determine a so that t(a) = 0.
-1, 2
Let s(b) be the third derivative of 0*b**3 + 0*b - 1/30*b**5 + 0 + 4*b**2 - 1/12*b**4. Factor s(p).
-2*p*(p + 1)
Suppose 4 = -3*s + d, 0 = -4*s - 2*d - 11 - 11. Let v = 5 + s. Factor 4*l - 5*l**v - 6*l + 15*l**2 - 8*l**3.
-2*l*(l - 1)*(4*l - 1)
Let x = -3/23 + 32/69. Solve f**2 - 1/3*f - f**3 + 0 + x*f**4 = 0 for f.
0, 1
Factor 2/13 - 4/13*w**3 + 0*w**2 - 2/13*w**4 + 4/13*w.
-2*(w - 1)*(w + 1)**3/13
Let l = -6 + 8. Let 2*j - j**3 + l - 6*j**2 - 9*j**3 + 3*j**4 - 7*j**4 + 0*j = 0. Calculate j.
-1, 1/2
Let n = -129/5 + 26. Factor n + 2/5*r**3 - 1/5*r**4 - 2/5*r + 0*r**2.
-(r - 1)**3*(r + 1)/5
Let l(f) be the first derivative of 2*f**6/15 + 2*f**5/5 - f**4 - 8*f**3/3 + 8*f**2 - 7*f + 9. Let s(x) be the first derivative of l(x). Solve s(h) = 0.
-2, 1
Factor -2/11*h**5 + 36/11*h**2 + 0 + 16/11*h**4 - 42/11*h**3 + 0*h.
-2*h**2*(h - 3)**2*(h - 2)/11
Let w = -14 - -13. Let d(y) be the second derivative of y**4/3 - y**3/6 - y**2 + 2*y. Let u(l) = l**2 - l - 1. Let n(r) = w*d(r) + 3*u(r). Factor n(f).
-(f + 1)**2
Let r be (-176)/(-99) + 4/18. Factor -4*m - 2*m**3 + 0 - r*m**2 + 6*m + 2*m**4 + 0.
2*m*(m - 1)**2*(m + 1)
Let q(t) = -t**2 - 10*t - 1. Let i(l) = -l - 1. Let j(n) = -i(n) - q(n). Let r be j(-11). Factor -2/3 + 1/3*p + 1/3*p**r.
(p - 1)*(p + 2)/3
Factor 0 + 27/5*q - 1/5*q**4 - 27/5*q**2 + 9/5*q**3.
-q*(q - 3)**3/5
Suppose 89 = -k + 91. What is p in 0*p - 2/3*p**5 + 0*p**k - 4/3*p**4 - 2/3*p**3 + 0 = 0?
-1, 0
Let m(z) be the first derivative of z**6/420 + 3*z**5/70 + 9*z**4/28 + 9*z**3/7 + 9*z**2/2 + 9. Let l(j) be the second derivative of m(j). Factor l(a).
2*(a + 3)**3/7
Let w = -1 - -1. Let d be (9/42)/(6/8). Factor -2/7 + w*a + d*a**2.
2*(a - 1)*(a + 1)/7
Let -4*s**4 + 10*s**2 + 4*s**3 - 7*s**2 + 3*s**4 - 7*s**2 = 0. What is s?
0, 2
Suppose 0 = m - 11 + 8. Factor 2*v - 5*v + m*v + 2*v**4 - 4*v**3.
2*v**3*(v - 2)
Let q(x) be the first derivative of -x**2 - 7*x + 3. Let f be q(-5). Factor -s**3 - 19 - f*s**2 + s + 20 + 2*s**2.
-(s - 1)*(s + 1)**2
Solve -2/5*l**3 + 0 + 1/5*l**4 + 2/5*l - 1/5*l**2 = 0.
-1, 0, 1, 2
Suppose -4*s = -0*s. Suppose 0 = -4*i - o + 5, -3*i + 0*o + o + 9 = s. Find b such that b - 4*b**2 + 3*b**i + 0*b = 0.
0, 1
Let d be (-18)/(-45) + (-23)/(-5). Solve -6 - 2*u + 2*u**2 + d*u - 7*u = 0 for u.
-1, 3
Let i(u) be the third derivative of -u**7/840 + u**6/30 - 2*u**5/5 + 8*u**4/3 - 32*u**3/3 - 4*u**2. What is n in i(n) = 0?
4
Let g(b) = 5*b**5 - 7*b**4 + 4*b**3 + 2*b**2 - 2*b + 2. Let k(x) = -6*x**5 + 6*x**4 - 3*x**3 - 3*x**2 + 3*x - 3. Let h(j) = -3*g(j) - 2*k(j). Factor h(n).
-3*n**3*(n - 2)*(n - 1)
Let 0 + 1/6*b**2 + 0*b + 1/6*b**3 = 0. What is b?
-1, 0
Factor 31*q**3 + 64*q**2 + 20*q**4 - 2*q + 37*q**3 + 18*q.
4*q*(q + 1)*(q + 2)*(5*q + 2)
Let r be (-6)/(-3) + -3 - 0. Let b be 2/r + -1 + 6. Suppose 8*y**3 + 2*y**5 - 6*y**3 + 8*y**2 + 10*y**b + 8*y**4 + 2*y = 0. What is y?
-1, 0
Factor -70*d**3 - 8 + 8*d**4 + 32*d - 85*d**3 + 129*d**3 + 6*d**2.
2*(d - 2)**2*(d + 1)*(4*d - 1)
Let u(f) be the first derivative of -f**3/3 + 7*f**2 - 11*f + 2. Let d be u(13). Factor 0 + 2/5*c**3 + 0*c + 2/5*c**d.
2*c**2*(c + 1)/5
Let 0*g + 0 + g**2 - g**3 + 1/4*g**4 = 0. What is g?
0, 2
Let d be (-39)/(-26) - (-6)/(-4). Let r(p) be the first derivative of 1 + d*p + 2/15*p**3 + 1/5*p**4 + 2/25*p**5 + 0*p**2. Factor r(m).
2*m**2*(m + 1)**2/5
Let v(r) = -r**3 + 10*r**2 - 40*r - 6. Let o(c) = 15*c**3 - 140*c**2 + 560*c + 85. Let x(a) = 6*o(a) + 85*v(a). Factor x(g).
5*g*(g - 2)*(g + 4)
Let x be 14*(3/(-2))/(-3). Let g = 9 - x. Solve 4/11*r**g + 0 - 6/11*r**3 + 2/11*r = 0 for r.
-1/3, 0, 1
Suppose 3*o + 2 = 4*s - 5, s + 5