 + 5*b**2 + 12*b - 5. Let a(f) = 9*f**4 - 24*f**3 + 9*f**2 + 24*f - 9. Let m(u) = -5*a(u) + 9*w(u). Let m(n) = 0. Calculate n.
-2/3, 0, 1, 2
Let w(y) = -y**2 - 9*y - 12. Let i be w(-7). Let f(m) be the third derivative of 1/270*m**5 + 0 + 0*m**3 + 0*m**4 + 0*m - 1/540*m**6 + 2*m**i. Factor f(l).
-2*l**2*(l - 1)/9
Suppose -2*c = 4*b - 10, 5*b - 2*c = 24 + 2. Factor -4*i**2 - 1 + 2*i**5 - 1 - 3*i**5 + 6*i**b + 6*i - 4*i**3 - i**5.
-2*(i - 1)**4*(i + 1)
Let p be 1/(-3)*(-5)/400*4. Let z(j) be the third derivative of 0*j + 0 + 1/210*j**7 - p*j**5 + 1/120*j**6 - 2*j**2 + 0*j**3 - 1/24*j**4. Factor z(r).
r*(r - 1)*(r + 1)**2
Let d be (-23)/(-3) + (-4)/6. Let z be 8/56 + 34/d. Solve 0 - 8/5*r**2 + 8/5*r - 6/5*r**z - 14/5*r**3 + 4*r**4 = 0 for r.
-2/3, 0, 1, 2
Suppose 7*d - 3*d = 16. Suppose 2*i - 5 = 2*z - 1, 8 = d*i + 2*z. Factor 3*t**3 + t - 4*t**2 + 10*t**2 + i*t.
3*t*(t + 1)**2
Let o(g) be the first derivative of -10*g**2 + 1 + 25/3*g**3 + 4*g. Solve o(l) = 0 for l.
2/5
Factor -4/7*t**3 + 0*t + 2/7*t**2 + 2/7*t**4 + 0.
2*t**2*(t - 1)**2/7
Let m = -5 - -11. Suppose 5*x = m*x - 3. Solve -4/5*q**4 + 2/5*q**5 + 0 - 2/5*q + 0*q**x + 4/5*q**2 = 0.
-1, 0, 1
Suppose 0 = -2*m + 10, 3*o - 5*m = -0*o - 13. Factor 2/5*q**o + 2/5*q**5 + 0 - 2/5*q**2 - 2/5*q**3 + 0*q.
2*q**2*(q - 1)*(q + 1)**2/5
Let 5*d**2 - 12*d**2 + 2*d**2 + 9*d**2 = 0. Calculate d.
0
Let z(v) be the first derivative of -2 + 0*v + 0*v**2 - 5/6*v**6 - 7/5*v**5 + 0*v**3 - 1/2*v**4. Solve z(a) = 0 for a.
-1, -2/5, 0
Suppose 2*o + 9*s - 4*s = -16, 3*o + 2*s + 2 = 0. Let x(h) be the second derivative of -1/12*h**4 + 3*h + 0*h**o + 0*h**3 + 0 + 1/20*h**5. Factor x(i).
i**2*(i - 1)
Let c(l) be the third derivative of -l**7/735 + l**6/210 + 4*l**5/105 - 18*l**2. Factor c(y).
-2*y**2*(y - 4)*(y + 2)/7
Let d be 24/32 - (-22)/(-8). Let a be 3/d - (4 - 6). Let -1/4*c**4 + 0*c**3 - a*c + 0 + 3/4*c**2 = 0. Calculate c.
-2, 0, 1
Suppose d = -d - 4. Let z(a) = a**3 + 3*a**2 + 2*a + 3. Let m be z(d). Factor -3*v**m - 1 + 3*v**3 - 3*v**3 + 9*v**2 - 9*v + 4.
-3*(v - 1)**3
Let x = -15394 + 107584/7. Let m = -24 - x. Let 2/7*r**3 - m*r**2 - 2/7 + 6/7*r = 0. What is r?
1
Let s(k) be the second derivative of -k**4/8 - k**3/4 - 6*k. Suppose s(p) = 0. Calculate p.
-1, 0
Let m(l) be the third derivative of -l**11/997920 + l**10/226800 - l**9/181440 - l**5/30 + 4*l**2. Let b(z) be the third derivative of m(z). Factor b(g).
-g**3*(g - 1)**2/3
Let s(h) be the third derivative of -h**8/6720 + h**6/60 - h**5/30 + 3*h**2. Let w(f) be the third derivative of s(f). What is r in w(r) = 0?
-2, 2
Let z(n) = 4*n - 4. Let u be z(-3). Let m be (u/(-28))/((-4)/(-14)). Solve -1/4*a**m - a - 1 = 0 for a.
-2
Solve 0*f**2 + 1/2*f**5 + 0*f**4 + 1/2*f - f**3 + 0 = 0.
-1, 0, 1
Suppose -2*a + 5 = v, 0*v - 2*v = -2. Determine k so that k**2 + 0*k**2 - k**3 + 0*k**2 - 2*k + a*k**2 = 0.
0, 1, 2
Let u(f) be the second derivative of f**5/26 - 7*f**4/78 - 8*f**3/39 + 4*f**2/13 - 33*f. Factor u(z).
2*(z - 2)*(z + 1)*(5*z - 2)/13
Let c(z) be the third derivative of 0*z**6 + 0*z**5 + 0 - 3*z**2 + 1/315*z**7 + 0*z**4 + 0*z**3 + 0*z. Factor c(v).
2*v**4/3
Let k(q) be the third derivative of -1/1680*q**8 + 1/350*q**7 + 1/300*q**5 + 0*q**3 + 0*q + 0 - 2*q**2 - 1/200*q**6 + 0*q**4. Factor k(v).
-v**2*(v - 1)**3/5
Let t(b) = 7*b**2 + b - 8. Let r(o) = 20*o**2 + 4*o - 24. Let l(x) = -3*r(x) + 8*t(x). Factor l(y).
-4*(y - 1)*(y + 2)
Factor -3*x**2 - x**2 + x**4 + 2*x**2 + 1.
(x - 1)**2*(x + 1)**2
Let y = 47 - 233/5. Factor 2/5*k**3 - 1/5*k**5 + y*k**2 - 1/5*k**4 - 1/5*k - 1/5.
-(k - 1)**2*(k + 1)**3/5
Let y(w) be the first derivative of 1/8*w**4 + 1 - 3/80*w**5 + 1/8*w**3 - 3/4*w**2 - 3*w. Let k(c) be the first derivative of y(c). Factor k(t).
-3*(t - 2)*(t - 1)*(t + 1)/4
Let z(p) be the first derivative of -15*p**4/4 - 10*p**3/3 + 5*p**2/2 + 9. Find r, given that z(r) = 0.
-1, 0, 1/3
Let q(f) be the first derivative of -2/11*f**2 - 2/55*f**5 + 0*f - 5 - 10/33*f**3 - 2/11*f**4. Factor q(s).
-2*s*(s + 1)**2*(s + 2)/11
Factor 32*d**3 + 0*d**3 + 25*d - 17*d - 12*d**4 - 28*d**2.
-4*d*(d - 1)**2*(3*d - 2)
Let b(u) be the first derivative of -u**4/18 - u**3/9 - 3*u - 1. Let y(v) be the first derivative of b(v). Solve y(m) = 0.
-1, 0
Let v(o) be the third derivative of -2*o**7/21 + 2*o**6/5 - 3*o**5/5 + o**4/3 - 29*o**2. Factor v(h).
-4*h*(h - 1)**2*(5*h - 2)
Let y(j) = 3*j**4 + 15*j**3 + 16*j**2 - 4*j - 6. Let r(t) = -15*t**4 - 76*t**3 - 81*t**2 + 20*t + 29. Let s(c) = 2*r(c) + 11*y(c). Find z, given that s(z) = 0.
-2, -1, 2/3
Let u(x) = x**2 + 3*x + 3. Let v be u(-3). Let f = 6 - v. Find l, given that 2*l**2 + 0*l**3 + l**3 - 3*l**f = 0.
0, 1
Let m(b) be the third derivative of b**8/28 - b**7/70 - b**6/5 + b**5/10 + b**4/2 - b**3/2 - 7*b**2. Suppose m(j) = 0. What is j?
-1, 1/4, 1
Let k(p) be the third derivative of 0*p - 1/15*p**5 + 0*p**4 + 0 - 5*p**2 + 2/3*p**3. Suppose k(s) = 0. Calculate s.
-1, 1
Let b = -406 - -410. Determine l, given that -8/9*l**3 - 2/9*l**5 + 0*l**2 + 0 + 0*l + 8/9*l**b = 0.
0, 2
Let w be 4*1/(-2)*-2. Let b = w + -1. What is d in -6*d**b - d**4 - d**4 - 2*d**2 - 2*d**2 = 0?
-2, -1, 0
Let c(y) be the second derivative of y**6/75 - y**5/20 + y**4/20 + y**3/30 - y**2/10 + 4*y. Factor c(i).
(i - 1)**3*(2*i + 1)/5
Let b be 0/((-15)/(5 + 0)). Factor 0*u**3 + 0 + 1/8*u**5 + 1/4*u**4 + 0*u + b*u**2.
u**4*(u + 2)/8
Let g(l) be the second derivative of -1/20*l**5 + 1/6*l**3 + 0*l**2 + 4*l + 0 - 1/30*l**6 + 1/12*l**4. Factor g(v).
-v*(v - 1)*(v + 1)**2
Find y, given that 2/13*y**2 + 0 - 4/13*y = 0.
0, 2
Suppose -7*y = -3*a - 9*y + 16, 0 = 2*a - 3*y + 11. Solve 8/5*f**2 + a*f**4 + 2/5*f**5 + 0*f + 16/5*f**3 + 0 = 0 for f.
-2, -1, 0
Let z = 401/20 + -20. Let d(f) be the third derivative of -z*f**4 + f**2 + 0 - 1/50*f**5 - 1/15*f**3 - 1/300*f**6 + 0*f. Factor d(r).
-2*(r + 1)**3/5
Suppose -8 = -9*d + 5*d. Factor 3 + 0*z - 6*z**4 - 6*z + 4*z**3 + 4*z**d - 1 + 2*z**5.
2*(z - 1)**4*(z + 1)
Determine d so that 2/7*d + 0 + 2/7*d**2 = 0.
-1, 0
Let d(r) = 8*r**3 + 5*r**2 - 5*r + 7. Let t(b) = b**3 + b**2 + 1. Let v(c) = 4*d(c) - 36*t(c). Find f, given that v(f) = 0.
-2, -1
Suppose -34*l - 4 - 2*l + 3*l**2 + 112 = 0. Calculate l.
6
Let c(s) be the third derivative of -s**10/151200 + s**9/37800 - s**8/33600 + s**4/8 - 3*s**2. Let q(x) be the second derivative of c(x). What is y in q(y) = 0?
0, 1
Let k = 5083/9030 - 24/43. Let p(a) be the third derivative of 1/42*a**4 + 0*a**5 + 0*a + 1/735*a**7 - 1/21*a**3 + a**2 - k*a**6 + 0. Find c such that p(c) = 0.
-1, 1
Suppose -6*l = -18 + 6. Determine f so that 1/4 - 1/4*f**l + 1/4*f - 1/4*f**3 = 0.
-1, 1
Factor 5/2*i**2 - 7/2*i - 1/2*i**3 + 3/2.
-(i - 3)*(i - 1)**2/2
Let b(s) = -4*s**3 + 2*s - 2. Let x(f) = f**4 - f**2 + f + 1. Let k(p) = -b(p) - 2*x(p). Factor k(g).
-2*g*(g - 2)*(g - 1)*(g + 1)
Let y = 3 + -3. Let n = 14 - y. Let c(a) = 6*a**2 - 5*a + 6. Let h(f) = -f**2 + f - 1. Let i(p) = n*h(p) + 2*c(p). Determine r, given that i(r) = 0.
1
Let q(l) be the third derivative of l**7/420 - l**5/20 - l**4/6 - l**3/4 - 10*l**2. Factor q(o).
(o - 3)*(o + 1)**3/2
Let g(q) be the second derivative of q**4/36 - q**3/3 + 3*q**2/2 - 45*q. Let g(c) = 0. What is c?
3
Suppose 6 + 33 = 3*q. Suppose -q = 5*n - 48. Let 2*d**3 + 7*d**5 + 7*d**5 - 6*d**5 - 3*d**4 - n*d**4 = 0. What is d?
0, 1/4, 1
Suppose 4 = 3*f - 2. Let s(x) be the first derivative of 1/4*x**4 - 2 + 1/3*x**3 + 0*x - 1/5*x**5 - 1/2*x**f. Factor s(d).
-d*(d - 1)**2*(d + 1)
Find z such that 0*z**2 + 0*z + z**5 + 1/4*z**3 + 5/4*z**4 + 0 = 0.
-1, -1/4, 0
Let f(t) = 5*t - 2*t + 13 - 2*t. Let n be f(-13). What is u in 1/3*u**3 + n*u + 0 + 1/3*u**2 = 0?
-1, 0
Let p(l) be the third derivative of l**10/75600 - l**8/5040 + l**6/360 - l**5/20 + 5*l**2. Let t(x) be the third derivative of p(x). Find w such that t(w) = 0.
-1, 1
Let l(o) be the second derivative of -o**8/1344 - o**7/840 + o**6/480 + o**5/240 - o**2/2 - o. Let j(s) be the first derivative of l(s). What is q in j(q) = 0?
-1, 0, 1
Suppose 2*b + 3*b = 100. Suppose 5*z = 5 + b. Factor -2*g**3 - z + 2*g**4 + 5.
2*g**3*(g - 1)
Let u be -9 - -4 - -2 - 1*-5. Let p(m) be the third derivative of -3*m**u + 1/96*m**4 + 0*m + 1/120*m**5 + 0*m**3 + 0 + 1/480*m**6. Factor p(h).
h*(h + 1)**2/4
Let b(f) be the third derivat