= -131/12 + 49/4. Let v(m) be the first derivative of 4 - o*m**3 - 4/3*m + 2*m**2 + 1/3*m**4. Factor v(a).
4*(a - 1)**3/3
Let b(h) = -3*h**4 + h**3 + h**2 + 3*h - 4. Let w(r) = -r**4 + r**3 + r - 2. Let t(y) = -b(y) + 2*w(y). Factor t(s).
s*(s - 1)*(s + 1)**2
Determine q so that 18*q**3 - 75/2*q**2 + 0 + 21/2*q**4 + 9*q = 0.
-3, 0, 2/7, 1
Let f(x) be the first derivative of -8*x**3/3 + 3. Let t = -49 + 45. Let g(i) = 23*i**2 - i. Let z(p) = t*g(p) - 11*f(p). Suppose z(a) = 0. Calculate a.
0, 1
Let g(w) be the first derivative of 2*w**3/3 + 8*w**2 - 18*w - 77. Solve g(a) = 0.
-9, 1
Let c = 692 + -685. Let s(d) be the third derivative of 0*d + 0*d**4 + 0*d**3 - 1/70*d**c + 0*d**6 + 1/56*d**8 + 6*d**2 + 0 + 0*d**5. Factor s(y).
3*y**4*(2*y - 1)
Let r = -647 + 375. Let c be (-5)/(-2) - (-584)/r. Factor 0 - c*o**4 + 6/17*o**3 - 2/17*o**2 + 2/17*o**5 + 0*o.
2*o**2*(o - 1)**3/17
Find r, given that 8/3 + 2/3*r**2 + 8/3*r = 0.
-2
Let l(o) be the first derivative of -1/240*o**5 - 1/12*o**3 - o**2 + 0*o - 1/32*o**4 - 4. Let g(f) be the second derivative of l(f). Factor g(v).
-(v + 1)*(v + 2)/4
Suppose 0 = 8*i - 69 + 45. Suppose 1 = -r - 2*t, -2*r + i*t + 4 = 5*t. Factor -3/2*o + 1/2*o**r + 1/2 + o**3 + o**2 - 3/2*o**4.
(o - 1)**4*(o + 1)/2
Let w = 16961 + -16959. Factor 1/2*f**w + 3/2*f + 1.
(f + 1)*(f + 2)/2
Let l(p) be the third derivative of p**5/240 + p**4/48 - p**3/8 + 41*p**2 + 4. Let l(o) = 0. Calculate o.
-3, 1
Let x(y) be the first derivative of -y**6/24 + y**5/12 + 5*y**4/24 - 5*y**3/6 + y**2 - 9. Let a(j) be the second derivative of x(j). Factor a(f).
-5*(f - 1)**2*(f + 1)
Let w(d) be the third derivative of 5*d**8/168 - 13*d**7/42 + d**6/6 + 13*d**5/12 - 5*d**4/4 + 16*d**2. Solve w(a) = 0.
-1, 0, 1/2, 1, 6
Let l(x) = 285*x - 485. Let t(c) = -13*c + 22. Let d(a) = -4*l(a) - 90*t(a). Let r(m) = m**2 + 1. Let z(u) = -d(u) - 5*r(u). Factor z(s).
-5*(s - 1)*(s + 7)
Let n(t) be the first derivative of 9*t**5/35 - 21*t**4/4 + 254*t**3/7 - 522*t**2/7 - 1080*t/7 + 191. Determine k, given that n(k) = 0.
-2/3, 5, 6
Let z(y) be the first derivative of 31*y**3/5 + 92*y**2/5 - 4*y/5 - 150. Determine p so that z(p) = 0.
-2, 2/93
Suppose m + 3*q = -3, -369*m = -372*m - 2*q + 5. Factor 5/2*x**2 - 2*x**m + 1/2*x**4 + 0 - x.
x*(x - 2)*(x - 1)**2/2
Let c = -1205 - -1208. Let i(a) be the second derivative of -1/30*a**c + 0*a**2 - 1/60*a**4 + 0 + 2*a. Solve i(n) = 0 for n.
-1, 0
Determine g, given that 0 - 1/8*g**2 - 63/8*g = 0.
-63, 0
Let w be ((-3)/(-9))/((-2)/6) - (-442)/374. Find s such that -6/11*s**2 + 0 + 4/11*s + 6/11*s**4 - 2/11*s**5 - w*s**3 = 0.
-1, 0, 1, 2
Let q = 614/579 - 76/193. Determine t, given that -2/3 + 0*t**4 - 4/3*t**3 + 1/3*t**5 + q*t**2 + t = 0.
-2, -1, 1
Factor 2/9*h**3 + 40/9*h - 2*h**2 - 8/3.
2*(h - 6)*(h - 2)*(h - 1)/9
Let m be (-18 + 0)/((-532)/3800). Let -4/7*g**3 - 116/7*g**2 - 780/7*g + m = 0. What is g?
-15, 1
Let h(v) = v**5 - 4*v**4 - v**3 - 2*v**2 + 2. Let b(s) = -s**4 - s**3 - s**2 + 1. Let c(a) = 10*b(a) - 5*h(a). Determine f, given that c(f) = 0.
0, 1
Let f be -2*(-5 + 15/5). Let u(q) = q**4 - 2*q**3 - q**2 + 6*q. Let p(c) = -c**4 + 2*c**3 + c**2 - 5*c. Let v(j) = f*p(j) + 3*u(j). Factor v(d).
-d*(d - 2)*(d - 1)*(d + 1)
Let l(s) be the first derivative of -2*s**6/3 + 6*s**5/5 + 5*s**4 - 8*s**3 - 8*s**2 + 27. Find t such that l(t) = 0.
-2, -1/2, 0, 2
Let v(o) be the third derivative of 1/75*o**5 + 0*o + 1/15*o**4 - 5*o**2 - 2/5*o**3 + 0. Suppose v(c) = 0. Calculate c.
-3, 1
Let q(m) be the third derivative of -m**8/2520 + 2*m**7/1575 - m**6/900 - 139*m**2. Factor q(f).
-2*f**3*(f - 1)**2/15
Suppose 0 = -p - 3*k + 2*k + 6, -3*p - 2*k = -14. Let s = 5 + -3. Solve c**2 - s*c**p + 2*c + 7*c**3 - 8*c**3 = 0 for c.
-2, 0, 1
Let i(h) be the second derivative of -h**6/240 + h**5/120 + h**4/48 - h**3/12 + 9*h**2/2 - 14*h. Let p(q) be the first derivative of i(q). Factor p(k).
-(k - 1)**2*(k + 1)/2
Suppose -3*j - 15 = 0, 2*j - 14 + 30 = 3*b. Find l such that 2*l**3 - 4/3 + 2/3*l**b - 2*l + 2/3*l**4 = 0.
-2, -1, 1
Factor c**5 - 37*c**3 - 2*c**4 + 4*c - 34*c**3 - 2*c**5 + 8*c**2 + 74*c**3.
-c*(c - 2)*(c + 1)**2*(c + 2)
Suppose 0 = a + 2*r, 36 = 5*a - 3*r + r. Factor 20*z - 20 - 16*z**2 + a*z**2 + 5*z**2.
-5*(z - 2)**2
Let f be ((-3)/(-2))/((-2)/(-36)). Let d be (-15)/35 + (-153)/(-63). Factor -4*x**2 - 29*x - x**5 + 2 + 4*x**3 + f*x - x**5 + d*x**4.
-2*(x - 1)**3*(x + 1)**2
Factor -63*a**4 + 26*a**5 - 52*a**4 - 45*a**4 + 49*a**4 + 7*a**5 + 36*a**3.
3*a**3*(a - 3)*(11*a - 4)
Let r(g) = 9*g**3 + 2237*g**2 + 250871*g - 253129. Let o(c) = 10*c**3 + 2235*c**2 + 250870*c - 253130. Let y(m) = 4*o(m) - 5*r(m). Find h, given that y(h) = 0.
-225, 1
Let k(l) be the second derivative of -3*l**5/40 + 11*l**4/32 - 7*l**3/16 + 218*l. Let k(t) = 0. Calculate t.
0, 1, 7/4
Let c be (32/12*-2)/((-10)/(-165)). Let a be 0/(2/11 + 104/c). Let -8/5 - 6*q**3 - 38/5*q**4 + 6*q**5 + 46/5*q**2 + a*q = 0. Calculate q.
-1, -2/5, 2/3, 1
Let v be (-9)/1 - (-348)/36. Let g(f) be the first derivative of 2/5*f**5 - 4*f - 12 + v*f**3 + 3*f**2 - 3/2*f**4. Suppose g(h) = 0. What is h?
-1, 1, 2
Let i(r) be the third derivative of 1/12*r**4 + 1/30*r**5 + 0 - 1/3*r**3 + 4*r**2 + 0*r - 1/60*r**6. Factor i(w).
-2*(w - 1)**2*(w + 1)
Let f(s) = -s**2 + 48*s + 159. Let u be f(51). Let j(r) be the second derivative of -1/20*r**5 - u*r + 0 - 1/18*r**4 + 0*r**2 + 1/18*r**3. Factor j(a).
-a*(a + 1)*(3*a - 1)/3
Let j(z) be the third derivative of -1/21*z**3 + 0*z - 1/420*z**6 + 14*z**2 - 1/28*z**4 - 1/70*z**5 + 0. Determine m, given that j(m) = 0.
-1
Let i(n) be the first derivative of 7 + 0*n - 3/2*n**2 - n**3. Factor i(s).
-3*s*(s + 1)
Factor -1/3*v**4 + 25/3*v**3 + 0*v**2 + 0 + 0*v.
-v**3*(v - 25)/3
Suppose -3*v - 2*v = -5*y, 0 = y + 1. Let p(z) = 40*z**2 + 1. Let f be p(v). Factor f - k**3 - 41 + k**2.
-k**2*(k - 1)
Let t(i) be the third derivative of 0 - 3/5*i**5 + 7*i**2 - 1/3*i**4 + 0*i**3 - 2/15*i**6 + 0*i. Factor t(a).
-4*a*(a + 2)*(4*a + 1)
Let j = 167/7 + -1601/63. Let a = j - -17/9. Factor 1/3*f**2 + 2/3*f + a.
(f + 1)**2/3
Let p = 4/817 - -42472/2451. Let v = p + -101/6. Factor 0*x**2 - x - 1/2 + v*x**4 + x**3.
(x - 1)*(x + 1)**3/2
Let l(w) be the third derivative of w**6/120 - 2*w**5/5 + 7*w**4/2 - 40*w**3/3 + 165*w**2. Factor l(f).
(f - 20)*(f - 2)**2
Let p = 113 + -109. Let q(j) be the first derivative of -23/3*j**3 + 27/5*j**5 - p*j + 9/4*j**6 - 2 + 9/8*j**4 - 9*j**2. Find l, given that q(l) = 0.
-1, -2/3, 1
Factor 9822*b + 27 + 33 - 9858*b + 3*b**2.
3*(b - 10)*(b - 2)
Suppose -80*r + 52 = -54*r. Factor 4/5*y**r - 8/5 + 4/5*y.
4*(y - 1)*(y + 2)/5
Let g = 4029 - 4029. Solve g - 12/7*o**2 + 3/7*o = 0 for o.
0, 1/4
Let x be (3/42)/((-80)/56 + 2). Let v(i) be the third derivative of 0*i - x*i**4 - 5*i**2 + 0 + 1/20*i**5 - i**3. Suppose v(o) = 0. What is o?
-1, 2
Let j(u) = 8*u**2 - 26*u + 13. Let p(f) = -39*f**2 + 129*f - 66. Let o(c) = 24*j(c) + 5*p(c). Factor o(h).
-3*(h - 6)*(h - 1)
Let q = -40 + 67. Solve q*w**4 + 0*w**2 + 3*w**2 - 30*w**4 = 0 for w.
-1, 0, 1
Let l be ((-135)/(-12))/(((-4)/(-48))/1). Let -l*o - 70 - 187 + 6*o**4 + 35*o**3 - 13 - o**4 + 45*o**2 = 0. What is o?
-3, 2
Suppose -3*p = 3*a + 6, 31*a - 26*a + 10 = 4*p. Let v = -3 + 6. Let p - 4/3*q**2 + 1/3*q**v + 4/3*q = 0. What is q?
0, 2
Let y(o) be the second derivative of o**8/12600 + o**7/6300 - o**6/2700 - o**5/900 - o**3/2 - 2*o. Let k(g) be the second derivative of y(g). Factor k(d).
2*d*(d - 1)*(d + 1)**2/15
Let v = 3 + 2. Factor b**v + 10*b**3 - 10*b**2 + b + 4*b + 0 - 1 - 5*b**4.
(b - 1)**5
Let d(n) be the second derivative of -n**6/135 + n**5/60 - n**3/54 + 16*n - 3. Factor d(x).
-x*(x - 1)**2*(2*x + 1)/9
Let p be (45/(-12))/(-5) - 15/(-12). Let t(r) be the first derivative of -3 - 2/15*r**3 - 8/5*r + 4/5*r**p. Factor t(n).
-2*(n - 2)**2/5
Let r(i) be the first derivative of 28 - i**4 + 4*i - 4/3*i**3 + 2*i**2. Let r(c) = 0. Calculate c.
-1, 1
Let o be ((-69)/(-27) + -3)/((-6)/3). Let a(i) be the first derivative of 1/3*i**2 + 3 + 4/3*i - o*i**3. Solve a(w) = 0.
-1, 2
Let o(s) be the third derivative of -s**5/100 + 7*s**4/40 - s**2 + 107. Let o(c) = 0. Calculate c.
0, 7
Let t(y) = y**4 - y**3 + y**2 - 3*y - 1. Let g(a) = 21*a**4 - 12*a**3 + 6*a**2 - 60*a - 9. Let l(c) = -g(c) + 18*t(c). Facto