 - 652/3. Factor -4/3*c**3 + 4/3*c - 2/3*c**2 + o*c**4 + 0.
2*c*(c - 2)*(c - 1)*(c + 1)/3
What is c in 0 + 12/7*c + 2/7*c**2 = 0?
-6, 0
What is r in 31*r**2 + 48*r - 39*r - r**2 + 20 - 134*r = 0?
1/6, 4
Let b(w) = -3*w - 32. Let t be b(-14). Suppose -31 = -t*o - 1. Determine u so that -1/6*u**o + 1/3 + 1/6*u - 1/3*u**2 = 0.
-2, -1, 1
Let l(w) be the second derivative of -w**7/735 - 2*w**6/315 - w**5/84 - w**4/84 + w**3/2 - 2*w. Let i(t) be the second derivative of l(t). Factor i(c).
-2*(c + 1)*(2*c + 1)**2/7
Let l(y) = -5*y**2 + 4*y. Let s(t) = -14*t**2 + 12*t. Let p(h) = -11*l(h) + 4*s(h). Determine v so that p(v) = 0.
0, 4
Let a be 1 - (1 + (2 - 4)). Determine i, given that -2*i**4 - 4*i**a + 6*i**4 + i + i**5 - 3*i**5 + i = 0.
-1, 0, 1
Determine b so that 0 + 4/7*b**2 + 0*b + 2*b**3 = 0.
-2/7, 0
Let m(k) be the third derivative of k**8/40320 - k**6/4320 - k**4/24 + 2*k**2. Let c(p) be the second derivative of m(p). Factor c(q).
q*(q - 1)*(q + 1)/6
Let z(h) = -h**3 + 10*h**2 + 14*h + 7. Let y be z(11). Factor -3*s**4 - y - 9*s**3 + 40 + 12*s.
-3*s*(s - 1)*(s + 2)**2
Suppose -8*b + 3*b = -70. Let y be b/2*24/14. Find g such that -5 + 17 + y*g + 3*g**2 + 0*g = 0.
-2
Factor -9/2*z**3 + 7*z**2 + z**4 - 9/2*z + 1.
(z - 2)*(z - 1)**2*(2*z - 1)/2
Suppose c + 8 = -3*k + 5*c, -5*k + 8 = 4*c. Let -7*s + k*s**2 - 3*s**3 + 8*s**2 + 4*s - 2*s**2 = 0. What is s?
0, 1
Let g = 10 - 11. Let y(j) = -j**4 - j**2 + j + 1. Let h(w) = -2*w**4 - 2*w**3 - 6*w**2 + 6*w + 4. Let v(d) = g*h(d) + 4*y(d). Factor v(x).
-2*x*(x - 1)**2*(x + 1)
Suppose 9 = z + 2*z. Let f**3 + 8*f**2 + f**3 + 2*f**z + 0*f + 4*f = 0. Calculate f.
-1, 0
Let v = 390 + -2728/7. Let b = -2 - -4. Factor 6/7*n + 4/7 + v*n**b.
2*(n + 1)*(n + 2)/7
Suppose 2*f + 3*i - 16 = 0, 2*f - 16 = -2*f - 2*i. Suppose -f*k - 8 = 0, 2*v + 2 = 4*k + 24. Factor -d**v + 2*d**4 - 4*d**4 - 5*d**3 + 3*d**2 + 5*d**4.
3*d**2*(d - 1)**2
Find q such that -q + 5*q - 9 + 4*q**2 + 9 = 0.
-1, 0
Let t be 0 - 5/15 - (-57)/63. Factor -2/7*f**2 - 2/7 + t*f.
-2*(f - 1)**2/7
Factor k**3 + 2*k**4 + 2*k + k - 3*k + k**5.
k**3*(k + 1)**2
Let r(g) be the second derivative of -g**9/22680 + g**7/1260 - g**6/540 - g**4/3 + g. Let z(o) be the third derivative of r(o). Factor z(i).
-2*i*(i - 1)**2*(i + 2)/3
Suppose -2/13*c**2 + 6/13*c - 4/13 = 0. What is c?
1, 2
Let u(i) = -16*i - 188. Let o be u(-12). Let -3/2*b**5 + 0*b**2 + 0*b**o + 3/2*b**3 + 0*b + 0 = 0. What is b?
-1, 0, 1
Let t be ((-104)/(-1404))/(1/6). What is j in -2/9 + 4/9*j**3 - 2/9*j**4 - 2/9*j + t*j**2 - 2/9*j**5 = 0?
-1, 1
Let o be 3/4*64*11/330. Factor 16/5 + 1/5*q**2 + o*q.
(q + 4)**2/5
Suppose 12*y - 12 = 8*y. Determine q so that q**5 - y*q + 4*q - 2*q**3 + 0*q**5 = 0.
-1, 0, 1
Let x(j) be the third derivative of -j**7/56 + 7*j**6/160 - j**5/40 - j**2. Factor x(n).
-3*n**2*(n - 1)*(5*n - 2)/4
Let i(y) be the second derivative of 0 + 0*y**2 + 3/4*y**4 + y**3 + 3*y - 3/10*y**5. What is t in i(t) = 0?
-1/2, 0, 2
Let w(c) be the second derivative of c**4/6 - 4*c**3/3 + 3*c**2 + 6*c. Let w(h) = 0. What is h?
1, 3
Suppose 4*r - 25 = -r. Let w(f) be the first derivative of 0*f**2 + 1/3*f**3 - 1/4*f - 3/20*f**r - 1 - 1/8*f**4 + 1/12*f**6. Find k such that w(k) = 0.
-1, -1/2, 1
Find k such that 34/5*k**3 + 8/5 - 18/5*k**5 + 6/5*k**4 - 14/5*k**2 - 16/5*k = 0.
-1, 2/3, 1
Let k be 4/(80/25)*2/5. Find u, given that -k*u**2 + 0*u + 1/2 = 0.
-1, 1
Let n(s) = 3*s**2 + 2*s + 1. Let m be n(-1). Factor 3 + 2*z**2 + 3*z - 6*z + 4*z - m*z**3 - z**4 + z**5 - 4.
(z - 1)**3*(z + 1)**2
Let h(z) be the first derivative of -16*z**6/75 - 4*z**5/25 + 7*z**4/30 - z**3/15 - z - 2. Let b(c) be the first derivative of h(c). Factor b(t).
-2*t*(t + 1)*(4*t - 1)**2/5
Let o(u) be the second derivative of 0 + 1/48*u**4 + 0*u**2 + 0*u**3 - u - 1/20*u**5. Let o(z) = 0. Calculate z.
0, 1/4
Let i be 7/3 - (-12)/18. Let z(o) be the first derivative of 4/3*o**i - 1/2*o + 1/8*o**2 + 1 - 17/8*o**4 - 7/24*o**6 + 13/10*o**5. Factor z(b).
-(b - 1)**4*(7*b + 2)/4
Let m(r) be the first derivative of -9*r**7/280 - 3*r**6/80 + r**5/4 - r**4/4 + 3*r**2/2 + 5. Let y(u) be the second derivative of m(u). Factor y(d).
-3*d*(d + 2)*(3*d - 2)**2/4
Factor -8/5*x**2 + 3/5*x**3 + 4/5*x + 0.
x*(x - 2)*(3*x - 2)/5
Let n = 37 - 34. Let z(w) be the third derivative of -1/30*w**6 - 1/8*w**4 - w**2 + 1/10*w**5 + 1/12*w**n + 0*w + 0. Find f, given that z(f) = 0.
1/2
Suppose -5*m + 3*m + 4*i + 8 = 0, -5*i = -4*m + 16. Factor m*w + 5*w + 4 + 2*w**2 - 3*w.
2*(w + 1)*(w + 2)
Let i(p) = p**3 + p**2. Let u(f) = -5*f**3 - 3*f**2. Let t(s) = -4*i(s) - u(s). Factor t(l).
l**2*(l - 1)
Let f be ((-5 - -5)/3)/(-1). Let l(t) be the first derivative of f*t - 2 + 5/3*t**3 - t**4 - 1/2*t**2. Suppose l(j) = 0. Calculate j.
0, 1/4, 1
Factor -11 + 4*a**3 - 6*a**2 - 18*a + 1 + 3*a**3 - 5*a**3.
2*(a - 5)*(a + 1)**2
Suppose 0 = -5*c - 0*c + 15. Factor 0*d - 34*d**3 - 7*d**5 - 16*d**2 - c*d - 2*d + 6*d + 2 - 26*d**4.
-(d + 1)**4*(7*d - 2)
Let x(k) = -10*k**3 - 2*k**2 + 10*k - 10. Let p(u) = u**3 - u**2 - u - 1. Let l(t) = 6*p(t) - x(t). Factor l(z).
4*(z - 1)*(z + 1)*(4*z - 1)
Let u(y) be the second derivative of 1/6*y**3 - 1/6*y**4 - y + 0*y**2 + 1/20*y**5 + 0. Determine h, given that u(h) = 0.
0, 1
Let n(m) be the third derivative of m**8/2184 + 2*m**7/455 + 7*m**6/390 + 8*m**5/195 + 3*m**4/52 + 2*m**3/39 + 23*m**2. Factor n(x).
2*(x + 1)**4*(x + 2)/13
Let j(a) be the second derivative of -a**6/60 + 3*a**5/70 - a**4/42 - 3*a**2/2 - 2*a. Let l(k) be the first derivative of j(k). Factor l(b).
-2*b*(b - 1)*(7*b - 2)/7
Let q(w) be the third derivative of -5*w**8/336 - 5*w**7/42 - w**6/3 - w**5/3 - 4*w**2. Factor q(f).
-5*f**2*(f + 1)*(f + 2)**2
Let d = -69761/36 - -1938. Let z(s) be the second derivative of d*s**4 - 1/9*s**3 + 0 + 0*s**2 + 1/30*s**6 - 2/15*s**5 + s. Factor z(t).
t*(t - 1)**2*(3*t - 2)/3
Suppose 2*n + 8 = m - 5, 0 = -4*m - 3*n - 3. Factor 0 + 0*d**2 + 0*d - 2/3*d**4 + 1/3*d**5 + 1/3*d**m.
d**3*(d - 1)**2/3
Suppose -6*z = -z - 40. Let u(a) be the third derivative of a**2 + 0*a**3 + 0*a - 1/180*a**6 + 1/252*a**z + 0 + 0*a**5 - 1/315*a**7 + 0*a**4. Factor u(p).
2*p**3*(p - 1)*(2*p + 1)/3
Let h(p) be the second derivative of -p**4/2 - p**3/3 + 2*p**2 + 22*p. Let h(j) = 0. Calculate j.
-1, 2/3
Let b(r) be the second derivative of -r**6/36 - 7*r**5/60 - r**4/6 - r**3/3 - 7*r. Let d(t) be the second derivative of b(t). Factor d(p).
-2*(p + 1)*(5*p + 2)
Let r be 0 + -3*30/(-9). Factor r + 4 - 2*j**2 - 6*j - 5 - j**2.
-3*(j - 1)*(j + 3)
Let i(t) be the second derivative of -t**5/80 - t**4/12 + t**3/8 + 9*t**2/4 + t + 55. Factor i(a).
-(a - 2)*(a + 3)**2/4
Suppose -9/4*p**3 + p + 5/8*p**4 + 0 + 3/2*p**2 = 0. Calculate p.
-2/5, 0, 2
Let d(u) = -1. Let x(q) = 2 + 5 + 12*q**2 - 41*q + 15*q + 2. Let h(r) = -6*d(r) + 2*x(r). Factor h(t).
4*(2*t - 3)*(3*t - 2)
Let d = 0 + 4. Factor -59*i**2 - d - 24*i - 21*i - 2 - 25*i**2.
-3*(4*i + 1)*(7*i + 2)
Let w(u) = 5*u**2 + 6*u. Let s = 0 + -1. Let q(i) = i**2 + i. Let a(b) = s*w(b) + 6*q(b). Let a(z) = 0. Calculate z.
0
Let i = 50 - 50. Factor -2/7 + 2/7*u**2 + i*u.
2*(u - 1)*(u + 1)/7
Let v(g) = 3*g + 0 + 2*g**2 + 0 + 0 - 9. Let o(q) be the first derivative of q**3/3 - q**2/2 - 2. Let k(w) = 6*o(w) - 2*v(w). Let k(t) = 0. What is t?
3
Let a(h) = -h**3 + 6*h**2 + 3. Let i be a(6). Let b be 3/(1 + (-2)/8). Find l such that -1/5*l**b - 1/5*l + 1/5*l**2 + 0 + 1/5*l**i = 0.
-1, 0, 1
Let t(i) = i**2 + 5*i - 14. Let u(h) = 5*h - 15. Let q(c) = 5*t(c) - 4*u(c). Find j such that q(j) = 0.
-2, 1
Let f(v) be the first derivative of -v**3/12 + 2*v**2 - 16*v + 10. Factor f(l).
-(l - 8)**2/4
Let y(k) be the second derivative of -1/84*k**7 - 1/60*k**6 + 0 + 0*k**5 + 0*k**4 + 0*k**3 + 0*k**2 + 5*k. Solve y(g) = 0 for g.
-1, 0
Let l be 42/5 - (-4)/(-10). Find d such that -3*d**3 - d**3 + 27*d**5 - l*d**4 - 31*d**5 = 0.
-1, 0
Suppose -o = 28 - 32. Let i(u) be the second derivative of 1/2*u**2 + 0 + 1/12*u**o - 3*u + 1/3*u**3. Suppose i(j) = 0. Calculate j.
-1
Let r(w) be the third derivative of -w**6/540 - 2*w**5/135 - 67*w**2. Factor r(u).
-2*u**2*(u + 4)/9
Let b(a) be the second derivative of 0 + 0*a**2 + 1/20*a**5 + 1/6*a**3 + 1/6*a**4 + a. Determine k, given that b(k) = 0.
-1, 0
Let x(l) be the first derivative of l**6/30 - l**4/2 