/2 - 3*u**2 + u. Factor a(q).
3*(q - 2)*(q - 1)**2
Suppose 68 = 66*x - 32*x. Factor 0*k + 0 + 2/11*k**x.
2*k**2/11
Let q = -113/4 - -5087/180. Let u(a) be the third derivative of 0*a**3 + 0*a**4 + 0*a - 2*a**2 + 1/90*a**5 + q*a**6 + 0 + 1/126*a**8 - 1/45*a**7. Factor u(s).
2*s**2*(s - 1)**2*(4*s + 1)/3
Let o(h) be the third derivative of -h**7/3360 + h**5/160 + h**4/48 - 2*h**3/3 + 2*h**2. Let f(i) be the first derivative of o(i). Factor f(s).
-(s - 2)*(s + 1)**2/4
Suppose -x + 7 = -2*u + 3, -3*u + 21 = 3*x. Let q(n) = n**2 - 6*n + 4. Let s be q(x). Factor 0 - 2/7*v**s + 0*v**2 + 0*v - 2/7*v**5 + 0*v**3.
-2*v**4*(v + 1)/7
Let x(j) be the first derivative of -2/9*j**3 + 1/6*j**4 - 1/18*j**6 - 1/6*j**2 + 1/3*j + 1/15*j**5 + 3. Factor x(n).
-(n - 1)**3*(n + 1)**2/3
Suppose 3*o = 2*p - p + 9, -2*o + 6 = 3*p. Factor -1/6*i**4 + p + 0*i - 1/3*i**3 - 1/6*i**2.
-i**2*(i + 1)**2/6
Let d = -4 - -7. Let m = -35/2 - -107/6. Suppose -m - 2/3*p**2 - 4/3*p**d + p**4 + 4/3*p = 0. What is p?
-1, 1/3, 1
Let l be 40/15*(-45)/(-12). Factor -9*d - d**2 - l + 3*d + 1.
-(d + 3)**2
Factor -3*v**3 + 13/2*v**2 - 6*v + 1/2*v**4 + 2.
(v - 2)**2*(v - 1)**2/2
Let d(z) = -14*z**4 + 29*z**3 - 19*z**2 + 4*z - 3. Let y(c) = -28*c**4 + 59*c**3 - 39*c**2 + 8*c - 5. Let t(o) = 5*d(o) - 3*y(o). Factor t(s).
2*s*(s - 1)**2*(7*s - 2)
Factor -f**4 - 4*f**4 - 5*f**5 + 5*f**3 - 9*f**2 + 21*f**2 - 7*f**2.
-5*f**2*(f - 1)*(f + 1)**2
Let k(m) be the first derivative of 2*m**3/45 - m**2/5 + 4*m/15 - 11. Factor k(b).
2*(b - 2)*(b - 1)/15
Suppose -4*j = -3*o + 14, 0 = -2*o - 0*o + 2*j + 8. Let m(p) = -p**3 + 3*p**2 - p. Let f be m(o). Factor 0*z - 2/5 - 16/5*z**3 + 12/5*z**f + 6/5*z**4.
2*(z - 1)**3*(3*z + 1)/5
Let -34/3*a - 20/3 - 2*a**2 = 0. Calculate a.
-5, -2/3
Suppose 8 = 2*c - 3*q, -5*c - 8 = 5*q - 3. Suppose -4 = -k - c. Find v, given that 18/7*v**2 + 2*v**k - 8/7 - 24/7*v = 0.
-2, -2/7, 1
Solve 2/3*p**4 - 2/3*p**5 + 4/3*p + 0 + 2*p**3 - 10/3*p**2 = 0.
-2, 0, 1
Factor 3/2*r + 0 - 3/2*r**2.
-3*r*(r - 1)/2
Let v = -5 + 10. Suppose 2*s - 4 = l, 3*s + l - 16 = -0*s. Find q, given that -2/3*q**v + 0 + 2/3*q + 4/3*q**s - 4/3*q**2 + 0*q**3 = 0.
-1, 0, 1
Suppose 0*l = -l + 2. Factor -3*k**2 - 3*k + 2*k**2 - 2*k**l.
-3*k*(k + 1)
Let l be (4/12)/((-3)/(-63)). Suppose l - 25 = -6*c. Factor 2/3*i - 5/3*i**2 + i**c + 1/3*i**4 - 1/3*i**5 + 0.
-i*(i - 1)**3*(i + 2)/3
Let i(u) = -u**2 - 4*u + 2. Let t be i(-3). Suppose -2*y = t*d - 8, 0 = -4*d - y + 1 + 6. Find p, given that 1/4*p**4 - 1/2*p + 0*p**d - 1/4 + 1/2*p**3 = 0.
-1, 1
Let a be (24/(-9) + 3)*1. Factor -1/3*w**3 + 1/3*w**2 - 1/3 + a*w.
-(w - 1)**2*(w + 1)/3
Let o(z) = -z**2. Let i(g) = 2*g**2 + 8*g + 4. Suppose 8*l - 3*l - 15 = 0. Let t(w) = l*i(w) + 21*o(w). Find u, given that t(u) = 0.
-2/5, 2
Let d(i) be the third derivative of 0*i + 1/150*i**5 + 0 + 1/1800*i**6 + 1/3*i**3 - i**2 + 1/30*i**4. Let t(m) be the first derivative of d(m). Factor t(r).
(r + 2)**2/5
Let y = 717/1880 - 3/470. Determine u, given that y*u**4 + 5/2*u**3 + 6*u**2 + 2 + 6*u = 0.
-2, -2/3
Factor 29*q**2 - 2*q**3 - 3*q**3 - 25*q + 20*q**2 - 19*q**2.
-5*q*(q - 5)*(q - 1)
Let g(i) be the second derivative of 3*i**5/20 - i**4/4 - 2*i**3 + 6*i**2 + 8*i. Determine f so that g(f) = 0.
-2, 1, 2
Let a = 145/42 - 23/7. Let j(g) be the third derivative of 2*g**2 - 1/10*g**5 + 0 + 0*g**3 + 1/60*g**6 + 0*g + a*g**4. Factor j(c).
2*c*(c - 2)*(c - 1)
Let u(r) be the second derivative of 1/9*r**3 - 1/54*r**4 - 2/9*r**2 + 0 + 3*r. Factor u(t).
-2*(t - 2)*(t - 1)/9
Let v = -56 + 56. Suppose 6/5*w**5 + 0 - 4/5*w**2 + 14/5*w**3 + v*w - 16/5*w**4 = 0. What is w?
0, 2/3, 1
Let d = 7 + -3. Let y be (-1)/(d*(-3 + 2)). Factor -1/4*j**4 + 0 + y*j**3 + 1/2*j**2 + 0*j.
-j**2*(j - 2)*(j + 1)/4
Suppose 4*k - 16 = p, -12*p - 8 = -2*k - 7*p. Factor 1/3*g**k - g**2 + 2/3 - 1/3*g + 1/3*g**3.
(g - 1)**2*(g + 1)*(g + 2)/3
Let m(u) be the second derivative of u**7/14 + 3*u**6/10 + 9*u**5/20 + u**4/4 - u. Factor m(w).
3*w**2*(w + 1)**3
Let s(h) = h**2 + h + 1. Let l(d) = -d**3 - 11*d**2 - 17*d - 9. Let g(u) = -5*l(u) - 10*s(u). Factor g(w).
5*(w + 1)**2*(w + 7)
Let q = 39/4 + -187/20. Find o, given that -4/5*o**3 + q*o**4 + 0*o**2 + 4/5*o - 2/5 = 0.
-1, 1
Let c(r) be the second derivative of r**7/42 - r**6/60 - 7*r**5/40 + 7*r**4/24 + r**3/12 - r**2/2 + 13*r. Determine n so that c(n) = 0.
-2, -1/2, 1
Let b(t) be the third derivative of -t**6/420 + t**5/35 - 5*t**4/84 - 4*t**3/7 - 36*t**2. Determine h, given that b(h) = 0.
-1, 3, 4
Let w be 2/3 + (-5 - 174/(-36)). Factor 0 + 1/2*h**4 + h**3 + w*h**2 + 0*h.
h**2*(h + 1)**2/2
Determine l so that 0*l**2 - 1/2*l + 0 + 1/2*l**3 = 0.
-1, 0, 1
Let m(w) be the second derivative of w**7/35 - w**6/12 + w**5/15 - w**2 + 4*w. Let o(i) be the first derivative of m(i). What is r in o(r) = 0?
0, 2/3, 1
Let p(w) be the third derivative of -w**8/112 - w**7/70 + w**6/40 + w**5/20 - 14*w**2. Let p(b) = 0. Calculate b.
-1, 0, 1
Let y(d) be the third derivative of 0 - 2/105*d**7 + 0*d - 1/3*d**4 + 0*d**3 + 1/5*d**5 + d**2 + 0*d**6. Factor y(l).
-4*l*(l - 1)**2*(l + 2)
Suppose 3*a = j - 12, a + 4 = -13*j + 10*j. Determine p so that -2/9*p**3 - 4/9*p + 2/3*p**5 + 10/9*p**4 - 10/9*p**2 + j = 0.
-1, -2/3, 0, 1
Let w be 90/4*10/(-6). Let j = w - -39. Solve 0 + 3/2*o**2 + 1/2*o + 2*o**5 - j*o**4 - 5/2*o**3 = 0 for o.
-1, -1/4, 0, 1
Let u(x) = x**2 - 4*x - 8. Let b be u(6). Suppose 4*i + i - 4*k - 35 = 0, 3*k + 12 = -i. Let 8*o - 90/7*o**2 - 8/7 - 8*o**i + 14*o**b = 0. Calculate o.
-1, 2/7, 1
Let q(f) be the second derivative of -11*f**5/100 + 2*f**4/5 - f**3/2 + f**2/5 - 6*f. Factor q(k).
-(k - 1)**2*(11*k - 2)/5
Suppose 0 = -3*b + 4*b - 11. Suppose 0 = -2*o + 15 - b. Factor 0*r + 0*r**3 + 1/2*r**o - 1/2*r**4 + 0.
-r**2*(r - 1)*(r + 1)/2
Let w(m) be the second derivative of -m**6/10 + 3*m**5/20 + m**4/4 - m**3/2 - 4*m. Let w(l) = 0. What is l?
-1, 0, 1
Let i(c) = -37*c**5 - 48*c**4 + 3*c**3 + 7*c**2 - 7*c. Let a(v) = -36*v**5 - 48*v**4 + 2*v**3 + 8*v**2 - 6*v. Let y(o) = -5*a(o) + 4*i(o). Factor y(p).
2*p*(p + 1)**2*(4*p - 1)**2
Let r be (-1 - -6 - 0) + -4 + 1. Let p be 70/24 + (-2)/8. Factor -2/3 - 8/3*c - p*c**3 - 2/3*c**4 - 4*c**r.
-2*(c + 1)**4/3
Let p be (4/18)/((-263)/(-3) + -1). Let q(o) be the third derivative of 0 - p*o**5 + 0*o - 4*o**2 - 1/156*o**4 + 0*o**3. Find a such that q(a) = 0.
-1, 0
Factor 0*b + 2/3*b**3 + 0*b**2 + 0.
2*b**3/3
Let s(i) be the third derivative of -i**5/270 - i**4/54 - i**3/27 - 7*i**2. Factor s(n).
-2*(n + 1)**2/9
Suppose r + 2*c - 115 = 26, 0 = -3*c + 9. Let i = -672/5 + r. Factor -i*n**2 - 2/5*n + 0 - 1/5*n**3.
-n*(n + 1)*(n + 2)/5
Suppose -4*q + 0*o = -3*o - 47, 5*q = 2*o + 50. Suppose 2*z = -4*k + q, -3*z - 9 = -6*z - 3*k. Factor -2 - 3 - l + 3 + l**z.
(l - 2)*(l + 1)
Factor -6/7*a + 0 - 3/7*a**2.
-3*a*(a + 2)/7
Let y = -60 + 60. Let d(k) be the first derivative of -1/12*k**3 - 1/8*k**4 + 1/8*k**2 + 2 + y*k. Factor d(w).
-w*(w + 1)*(2*w - 1)/4
Let a be (-6 - -2) + (-22)/(-5). Factor a*r + 1/5*r**2 + 0.
r*(r + 2)/5
Let u(m) be the third derivative of 0 + 8*m**2 - 1/6*m**6 + 0*m - 3/2*m**4 + 4/3*m**3 + 4/5*m**5. Factor u(w).
-4*(w - 1)**2*(5*w - 2)
Suppose 3*z - 72 = -0*z + 2*l, 4*l = 2*z - 40. Factor 3*q**3 - 8*q**2 + z*q**2 + 18*q**2 + 144*q + 192.
3*(q + 4)**3
Let z(u) be the first derivative of u**5/100 + u**4/20 + 3*u**2 + 9. Let h(x) be the second derivative of z(x). Determine m, given that h(m) = 0.
-2, 0
Let h(i) be the first derivative of 2/3*i**3 + 0*i**2 - 2/5*i**5 + 0*i - 3 + 0*i**4. Find n, given that h(n) = 0.
-1, 0, 1
Let a(g) be the second derivative of -4*g - 64/5*g**2 + 16/5*g**3 + 0 - 2/5*g**4 + 1/50*g**5. Factor a(q).
2*(q - 4)**3/5
Let 21*v - v - 8 - 8 - 4*v**2 = 0. Calculate v.
1, 4
Let a(k) = -3*k - 4*k**2 - 3*k + 3*k**2 + 5*k. Let o(n) = n**2 + 9*n + 6. Let d(t) = 2*a(t) - o(t). Solve d(y) = 0.
-3, -2/3
Suppose 8 = -n - 1. Let u = n + 83/9. What is i in 2/9 - u*i - 2/9*i**2 + 2/9*i**3 = 0?
-1, 1
Solve -f**3 - 154*f - 152*f - 2 + 309*f = 0 for f.
-2, 1
Let b(i) be the first derivative of -2/3*i**3 + 2/3*i - 1/3*i**4 - 2 + 0*i**2. Suppose b(a) = 0. What is a?
-1, 1/2
Let j(q) be the second derivative of -q**5/20 + q**4/2 - 5*q**3/6 + 9*q. Find m, given that j(m) = 0.
0, 1, 5
Let a = 1/6 - 1/42. Let o(v) be the first deriv