t o(g) = 0. Calculate g.
0, 1
Let d(v) be the third derivative of -v**6/240 + v**4/16 - v**3/6 + 9*v**2. Find o, given that d(o) = 0.
-2, 1
Suppose 0 = 4*c - o - 5, 2*c + 5*o - 7 = 4*o. Solve 2/3 + 2/3*p**c + 4/3*p = 0.
-1
Let p = 73 + -73. Factor -3*v**3 + 3/2*v**4 + 0*v + p + 3/2*v**2.
3*v**2*(v - 1)**2/2
Let r(c) be the third derivative of c**5/150 - c**4/15 + 4*c**3/15 + c**2. Factor r(v).
2*(v - 2)**2/5
Let p be 1/3*0 - (11 + -13). Suppose 3 = 2*n - 3. Suppose 8/9*w**p + 0 + 2/9*w - 10/9*w**n = 0. What is w?
-1/5, 0, 1
Factor 1/2*o + 1/2*o**2 + 0.
o*(o + 1)/2
Suppose u + 4*u = 10. Let r(v) = v**2 + 4*v - 8. Let z be r(-6). Factor -b**2 + 0*b**2 - b**2 + z*b**u.
2*b**2
Let v be (-2)/(-1) + (-950)/480. Let m(x) be the third derivative of x**2 + 1/240*x**6 + 0 + 1/840*x**7 + 0*x + 0*x**5 - 1/24*x**3 - v*x**4. Factor m(b).
(b - 1)*(b + 1)**3/4
Let a(z) = z**3 + 12*z**2 - 12*z + 6. Let b be a(-13). Let f = b + 15/2. Let 1/2*m**2 - f + 0*m = 0. Calculate m.
-1, 1
Let j be 7 - 4*76/48. Let d(l) = -l**3 - 2*l**2 - l + 2. Let p be d(-2). Factor -a**2 + 1/3*a**3 - 1/3*a + 1/3*a**p + j.
(a - 1)**2*(a + 1)*(a + 2)/3
Let a(b) = b**3 + b**2 + b + 2. Let r be a(0). Suppose 6*j - 6*j**2 + 2*j**r + 7*j**2 = 0. Calculate j.
-2, 0
Let u(h) be the first derivative of 1/2*h**4 + 0*h - 2/5*h**5 + 4/3*h**3 + 0*h**2 + 1. Determine i, given that u(i) = 0.
-1, 0, 2
Factor 3*a**2 - 3*a**2 - 2*a**2 + 16 + 6*a**2 - 16*a.
4*(a - 2)**2
Factor 2/7*r + 2/7*r**2 + 0.
2*r*(r + 1)/7
Let g be ((-24)/(-32))/((-1)/12). Let k = 11 + g. What is q in 0*q + 4/3*q**3 + 2/3*q**4 + 2/3*q**k + 0 = 0?
-1, 0
Let z(r) be the second derivative of 0*r**2 + 1/2*r**3 - 1/2*r**6 - 9/20*r**5 - 1/7*r**7 + 0 - 5*r + 1/4*r**4. Factor z(m).
-3*m*(m + 1)**3*(2*m - 1)
Let v(i) be the first derivative of i**6/39 + 6*i**5/65 + i**4/26 - 2*i**3/13 - 2*i**2/13 - 13. Suppose v(f) = 0. Calculate f.
-2, -1, 0, 1
Factor 2/3*v**3 + 0 - 2/3*v**4 + 0*v + 4/3*v**2.
-2*v**2*(v - 2)*(v + 1)/3
Suppose w = 2*w + 1. Let f = w - -1. Factor f*l**4 + l**5 + 2*l - l**3 + l**4 - l**2 - 2*l.
l**2*(l - 1)*(l + 1)**2
Let 0 + 2/9*m**3 + 2/9*m**4 - 2/9*m**2 - 2/9*m**5 + 0*m = 0. What is m?
-1, 0, 1
Determine r so that -4/5 - 4/5*r**2 + 8/5*r = 0.
1
Let r be -3 + (-123)/(-15) + (4 - 2). Factor -14/5*x**2 + 16/5*x**5 + 0 - 8*x**4 + 2/5*x + r*x**3.
2*x*(x - 1)*(2*x - 1)**3/5
Suppose 5*g - g = 5*o - 2, 0 = -3*o + 6. Suppose -3*n = -2*b + 9, g*b = -b - 2*n + 7. Find x such that -2*x**2 - 3*x - b*x + 3*x**2 + 5*x = 0.
0, 1
Suppose -4*g = -2*g - 10. Let n = 7 - g. Find y, given that 0 + 0*y**n + 0*y + 1/3*y**3 = 0.
0
Let h(l) be the first derivative of 3*l**3 + 21/2*l**2 + 6*l - 2. Find b such that h(b) = 0.
-2, -1/3
Let r(o) = o**2 + 10*o + 1. Let q be r(-10). Factor -1 - 4*d**2 + q + 2*d**3.
2*d**2*(d - 2)
Suppose 3*q + 0 = 9. Let t(j) be the second derivative of 1/6*j**q + 0 + 1/20*j**5 - 1/8*j**4 - 1/120*j**6 - 2*j - 1/8*j**2. Factor t(s).
-(s - 1)**4/4
Let u be 5/(0 + 1 - 0). Let p(b) be the third derivative of 0*b**4 - b**2 + 1/210*b**7 + 1/60*b**u + 0*b**3 + 1/60*b**6 + 0 + 0*b. Determine w so that p(w) = 0.
-1, 0
Let m(n) = 4*n - 1 + 7*n**2 - 1 + n**3 - 6. Let b be m(-6). Determine s, given that -2*s**3 + s**4 + b*s**3 - 3*s**3 = 0.
0, 1
Let p = 245 - 1223/5. Factor -4/5*y - p - 2/5*y**2.
-2*(y + 1)**2/5
Let s(y) = -y + 3. Let z be s(0). Let -z*v**4 - 9*v**5 + 5*v**3 + 7*v**2 - 8*v**2 + 0*v**2 = 0. What is v?
-1, 0, 1/3
Let j be 10*((-12)/8 + 2). Let u(t) be the third derivative of 2*t**2 + 1/18*t**4 - 1/9*t**3 + 0*t - 1/90*t**j + 0. Factor u(n).
-2*(n - 1)**2/3
Let a(q) be the second derivative of -2*q**2 - 5/3*q**3 - 2/3*q**4 - 1/10*q**5 - 2*q + 0. Factor a(k).
-2*(k + 1)**2*(k + 2)
Determine w, given that -32*w + 30*w - w**2 - 3*w**2 + 6*w**2 = 0.
0, 1
Let x be 16/(-28) - (-29468)/(-126). Let p = -234 - x. Let p*v**3 + 4/9*v**2 + 2/9 - 2/3*v - 2/3*v**4 + 2/9*v**5 = 0. What is v?
-1, 1
Let g(u) = -u**4 - 3*u**3 + 5*u**2 - 3*u - 2. Let o(s) = -4*s**4 - 9*s**3 + 16*s**2 - 10*s - 7. Let z(y) = -14*g(y) + 4*o(y). Determine b so that z(b) = 0.
0, 1
Let x = 2 + -2. Let o(a) = a**3 + a**2 - a + 3. Let m be o(x). Factor 0*t**2 - 8*t + 4*t**3 - 2*t**2 + 4*t**m + 2.
2*(t - 1)*(t + 1)*(4*t - 1)
Let y(v) be the third derivative of v**8/100800 - v**7/8400 + v**6/1800 - v**5/30 - 4*v**2. Let k(p) be the third derivative of y(p). Solve k(h) = 0 for h.
1, 2
Let k(x) be the second derivative of x**4/20 + x**3/5 - 9*x**2/10 + 8*x + 2. Factor k(u).
3*(u - 1)*(u + 3)/5
Let q = -12 + 12. Let x(h) be the first derivative of q*h**3 + 0*h + 2 + 0*h**2 + 1/4*h**4 + 1/5*h**5. Determine y so that x(y) = 0.
-1, 0
Let u(w) be the second derivative of w**6/120 + w**5/20 + w**4/8 + w**3/6 + w**2/8 + 2*w. Factor u(z).
(z + 1)**4/4
Let a(b) be the second derivative of -b**6/360 - b**5/120 + b**3/2 + 4*b. Let d(v) be the second derivative of a(v). Suppose d(z) = 0. Calculate z.
-1, 0
Let a(t) be the second derivative of 0*t**4 + 0*t**2 - 1/63*t**7 + 2/45*t**6 - 1/30*t**5 - t + 0 + 0*t**3. Factor a(s).
-2*s**3*(s - 1)**2/3
Let k(o) = 11*o**4 - 31*o**3 + 36*o**2 - 10*o. Let i(j) = j**4 + j**3 + j. Let f(u) = 2*i(u) - k(u). Factor f(w).
-3*w*(w - 2)*(w - 1)*(3*w - 2)
Let s(l) be the first derivative of 3*l**5/25 + 3*l**4/20 - 3*l**3/5 - 3*l**2/10 + 6*l/5 + 4. Factor s(n).
3*(n - 1)**2*(n + 1)*(n + 2)/5
Let o(r) = -4*r**4 - 10*r**3 + 2*r**2 + 8*r + 4. Let a(l) = -l**4 + l**3 + l**2 - 1. Let n = -12 + 10. Let g(v) = n*a(v) - o(v). Factor g(y).
2*(y - 1)*(y + 1)**2*(3*y + 1)
Let p be (-4)/(-42)*(-108)/(-8). Find w, given that -p*w**5 + 6/7*w**4 - 6/7*w**2 + 0 + 0*w + 9/7*w**3 = 0.
-1, 0, 2/3, 1
Let m(r) = -r + 3. Let f be m(0). Suppose f*u + 10 = 8*u. Suppose -2/3*c + 0 + 2/3*c**u = 0. Calculate c.
0, 1
Let t(c) be the first derivative of c**9/3024 + c**8/1680 - 2*c**3/3 + 2. Let f(u) be the third derivative of t(u). What is l in f(l) = 0?
-1, 0
Let o(f) be the second derivative of -f**6/180 + f**4/12 - 2*f**3/9 - f**2 + 7*f. Let d(r) be the first derivative of o(r). Factor d(u).
-2*(u - 1)**2*(u + 2)/3
Factor -2 - k**2 - k**2 + 0*k**2 + k**2 - 3*k.
-(k + 1)*(k + 2)
Let u(z) be the second derivative of -z**7/1260 - z**6/180 - z**5/60 - z**4/12 - z. Let o(b) be the third derivative of u(b). Factor o(x).
-2*(x + 1)**2
Let w be (-21)/(-4) + (-5)/20. Suppose -w*t + 16 = 4*v, -5*t + 4*t = 4*v - 16. Determine g, given that 0*g**2 - 1/3*g**3 + t*g + 0 = 0.
0
Let b(c) be the first derivative of c**6/360 + c**5/120 - c**4/12 - 5*c**3/3 - 5. Let l(a) be the third derivative of b(a). Solve l(p) = 0.
-2, 1
Let d be (-2 - 1) + 55/15. Suppose -5*i + 3 = -12. Factor 0 + d*t**i + 2/3*t - 4/3*t**2.
2*t*(t - 1)**2/3
Let j(h) be the third derivative of h**8/10080 - h**7/1260 + h**6/360 - h**5/60 + h**2. Let s(r) be the third derivative of j(r). Factor s(l).
2*(l - 1)**2
Factor 7*g**2 - g**2 - 81*g**3 + 79*g**3.
-2*g**2*(g - 3)
Let u(z) be the third derivative of 0*z**3 + 0 + 0*z + 1/15*z**6 + 5*z**2 - 1/6*z**4 + 7/30*z**5. Factor u(s).
2*s*(s + 2)*(4*s - 1)
Let a(l) = -l**4 - l**2 - l - 1. Let g(j) = -4*j**4 + 4*j**3 - 32*j**2 + 33*j - 21. Let v(r) = -20*a(r) + 4*g(r). Factor v(u).
4*(u - 2)*(u - 1)**2*(u + 8)
Let b(u) be the first derivative of 1/14*u**4 - 3 - 2/21*u**3 + 2/7*u - 1/7*u**2. Factor b(q).
2*(q - 1)**2*(q + 1)/7
Let g be (-7)/3*576/(-252). Solve g - 12*n - 4/3*n**3 + 8*n**2 = 0 for n.
1, 4
Let g(k) be the third derivative of -5*k**8/336 + k**7/21 - k**6/24 - 12*k**2. Factor g(c).
-5*c**3*(c - 1)**2
Determine s, given that -4 + 1 + 0 + 3*s**2 + 0 = 0.
-1, 1
Factor 4/9 + 0*u**2 - 2/9*u**3 + 2/3*u.
-2*(u - 2)*(u + 1)**2/9
Let v be 34/10 - (-4)/(4/(-3)). Factor -11/5*i + v + 17/5*i**2 - 6/5*i**3.
-(i - 2)*(2*i - 1)*(3*i - 1)/5
Let k = -13 - -17. Factor -3*c**3 - 3*c**3 - 2*c**2 - 2*c**5 + 4*c**5 - 4*c**k + 6*c**4 + 4*c.
2*c*(c - 1)**2*(c + 1)*(c + 2)
Suppose 2*q**4 + 14/5*q**2 + 4/5*q + 18/5*q**3 + 2/5*q**5 + 0 = 0. What is q?
-2, -1, 0
Let l be (-9)/(-6) + (-6)/(-24). Let q(s) be the first derivative of 1/3*s**3 - s - 7/8*s**4 + l*s**2 + 1. Find k, given that q(k) = 0.
-1, 2/7, 1
Let v(s) be the third derivative of -s**6/24 - 6*s**2. Factor v(t).
-5*t**3
Let f(p) = -p - 1. Let w be f(2). Let j(c) = c**2 + 3*c + 4. Let a be j(w). Factor 0*v**4 - 4*v**a + 2*v**4.
-2*