 - 1/1680*x**8 + 0*x**3 + 0. Factor y(f).
-f*(f - 1)**3*(f + 1)/5
Factor -36*u - 28*u - u + 10*u - 35*u**3 + 80*u**2 + 10.
-5*(u - 1)**2*(7*u - 2)
Let z(y) = y**2 + 9*y + 3. Let s be z(-9). Factor -6*f**2 - 15*f**2 + 49*f**s + 0 - 24*f - 4.
(f - 1)*(7*f + 2)**2
Suppose -4*x - 17 = -121. Suppose -4*s + 2*s = -5*a - 24, 0 = -3*s + 5*a + x. Factor 2/3*t**4 + 2*t**s + 0 + 2*t**3 + 2/3*t.
2*t*(t + 1)**3/3
Suppose -7*x = -4*g - 3*x - 8, -x + 11 = 2*g. Suppose g*p + 1 - 10 = 0. Let -2 + c + 5*c + c**2 - p*c**2 - 2 = 0. What is c?
1, 2
Let r(o) = -9*o**5 + 5*o**4 + 25*o**3 - 11*o + 5. Let p(z) = -14*z**5 + 8*z**4 + 38*z**3 - 16*z + 8. Let f(w) = -5*p(w) + 8*r(w). What is l in f(l) = 0?
-2, -1, 0, 1, 2
Suppose -2/9*a**3 + 2/9 - 2/9*a**2 + 2/9*a = 0. Calculate a.
-1, 1
Let m(l) = l**3 + 32*l**2 - 31*l + 69. Let t be m(-33). Factor 2/5*y**t + 0*y - 6/5*y**2 + 0.
2*y**2*(y - 3)/5
Let s(j) = 9*j + 227. Let g be s(-25). Factor -2/5 - 2/5*t**g - 4/5*t.
-2*(t + 1)**2/5
Let t(a) be the third derivative of -a**6/720 - a**5/240 - 2*a**3/3 + 3*a**2. Let f(q) be the first derivative of t(q). Find v, given that f(v) = 0.
-1, 0
Let l = -13/6 - -11/3. Suppose 0 = 116*u - 120*u + 8. Factor 1/2*q**u + 1 - l*q.
(q - 2)*(q - 1)/2
Suppose -5*u + 19 + 6 = 0. Let j = -3 + u. Let i(x) = -10*x**2 + 7*x - 9. Let r(a) = -a**2 + a - 1. Let w(m) = j*i(m) - 18*r(m). Let w(l) = 0. What is l?
-2, 0
Factor 0 + 3/7*i**2 - 3/7*i**4 - 6/7*i**3 + 6/7*i.
-3*i*(i - 1)*(i + 1)*(i + 2)/7
Let z(h) = -5*h + 4. Let k be z(7). Let y = -92/3 - k. Factor -1/3*f + y*f**2 + 0.
f*(f - 1)/3
Let o(x) be the second derivative of 25*x**9/16632 + x**8/1848 - 4*x**7/1155 + x**6/495 - x**3/6 + 2*x. Let f(c) be the second derivative of o(c). Factor f(w).
2*w**2*(w + 1)*(5*w - 2)**2/11
Let c(i) = -i**3 - 1. Let s(x) = -96*x**4 + 312*x**3 - 358*x**2 + 186*x - 28. Let r(p) = 8*c(p) + s(p). Let r(z) = 0. What is z?
2/3, 3/4, 1
Let m be -1*(-3 + 4) + 1. Let y be 1 + 2 - m/4. Solve 0*h - 4/5*h**y + 2/5*h**2 + 2/5*h**4 + 0 = 0 for h.
0, 1
Let t(z) be the third derivative of z**8/30240 + z**7/2520 + z**6/540 + 3*z**5/20 - 10*z**2. Let q(b) be the third derivative of t(b). Factor q(x).
2*(x + 1)*(x + 2)/3
Let m(j) be the first derivative of j**5/5 + j**4/4 - 5*j**3/3 + 3*j**2/2 - 25. Factor m(a).
a*(a - 1)**2*(a + 3)
Let g(i) be the first derivative of i**6/24 + 7*i**5/80 - i**4/16 - 7*i**3/24 - i**2/4 + i + 3. Let j(q) be the first derivative of g(q). Factor j(k).
(k - 1)*(k + 1)**2*(5*k + 2)/4
Let v(g) be the first derivative of g**6/57 - 2*g**5/95 - 5*g**4/38 + 2*g**3/57 + 8*g**2/19 + 8*g/19 - 27. Suppose v(n) = 0. What is n?
-1, 2
What is j in -j - 3*j**4 + 7*j + 3*j**2 - 17*j**3 + 11*j**3 = 0?
-2, -1, 0, 1
Suppose -5*k - 1 - 4 = 0. Let p be k - (-1 + -1 + -1). Factor 2*m**3 - 2 + 2*m**2 + 4*m**p - 4*m**2 - 2*m.
2*(m - 1)*(m + 1)**2
Let g(a) = -a**3 + 2*a + 1. Let k be g(-1). Let x(j) be the second derivative of -2/3*j**4 + k*j**2 - 1/10*j**5 - 4/3*j**3 + 0 + j. Factor x(h).
-2*h*(h + 2)**2
Let q be (-2)/4 + 5/2. Find m such that 4*m - 18 + 18 + 4*m**q = 0.
-1, 0
Let j(q) = -15*q**3 + 45*q**2 - 65*q + 30. Let w(d) = -8*d**3 + 22*d**2 - 32*d + 15. Let u(n) = 3*j(n) - 5*w(n). Determine v so that u(v) = 0.
1, 3
Let c be (0 + 3/6)*(-1 + 9). Let y(f) be the third derivative of -1/24*f**c + 0 - 1/150*f**6 + 3*f**2 - 11/300*f**5 + 0*f + 1/15*f**3. Factor y(n).
-(n + 1)*(n + 2)*(4*n - 1)/5
Let h = -51 - -55. Let u(y) be the first derivative of 1/14*y**h + 1 + 4/21*y**3 + 0*y + 0*y**2. Factor u(s).
2*s**2*(s + 2)/7
Let y(o) be the first derivative of 12*o**5/5 + 4*o**4 - 4*o**3/3 - 4*o**2 + 9. Factor y(a).
4*a*(a + 1)**2*(3*a - 2)
Let m = 5821/20 - 291. Let o(a) be the second derivative of -5/6*a**3 - a**2 - m*a**5 - 1/3*a**4 + 0 + 5*a. Find r, given that o(r) = 0.
-2, -1
Let i(j) = -j**3 + 14*j**2 - 23*j - 10. Let h be i(12). Factor 1/3*c**h + 0 + 0*c + 1/3*c**3.
c**2*(c + 1)/3
Let a(b) be the third derivative of b**5/180 + b**4/4 + 9*b**3/2 - 8*b**2. Factor a(p).
(p + 9)**2/3
Let m(a) be the second derivative of -a**4/3 - 20*a**3/3 - 18*a**2 + 2*a. Factor m(n).
-4*(n + 1)*(n + 9)
Let y(g) = 2*g**4 - 2*g**3 - 2*g**2 + 2*g - 8. Let m(k) = -k**4 + k**3 + k**2 - k + 3. Let c(b) = 8*m(b) + 3*y(b). Solve c(i) = 0.
-1, 0, 1
Let p(a) be the third derivative of -a**8/756 + a**7/189 - a**6/135 + a**5/270 + 23*a**2. Factor p(t).
-2*t**2*(t - 1)**2*(2*t - 1)/9
Let h(c) be the third derivative of -c**5/12 + 25*c**4/12 - 125*c**3/6 + 2*c**2. Factor h(s).
-5*(s - 5)**2
Let r = -3 - -9. Let h(k) be the second derivative of 1/21*k**3 - 2*k - 2/21*k**4 + 3/35*k**5 + 0*k**2 + 1/147*k**7 + 0 - 4/105*k**r. Factor h(s).
2*s*(s - 1)**4/7
Let q = -4 - -6. Let b(m) be the first derivative of 0*m + 1 + 0*m**q + 1/10*m**5 + 0*m**4 + 0*m**3. Suppose b(k) = 0. Calculate k.
0
Factor 1/2*i**2 + 1/2*i - 1.
(i - 1)*(i + 2)/2
Determine a so that -12*a + 4*a**2 + 5*a**2 + 6*a**2 - 18*a**2 = 0.
-4, 0
Suppose 7 = 2*p - 3*i + 2*i, -5*p + 3*i + 18 = 0. Factor -5*b**3 - 4*b**2 + 0*b**2 + p*b**3 - 2*b + 8*b**2.
-2*b*(b - 1)**2
Let m(z) be the first derivative of 1 - 2/9*z**2 + 0*z + 2/27*z**3. Let m(k) = 0. What is k?
0, 2
Let l be 6/(-21) - 760/(-126). Let q = -44/9 + l. Factor -2/7 + q*x - 6/7*x**2 + 2/7*x**3.
2*(x - 1)**3/7
Let g(z) be the third derivative of z**6/300 + z**5/150 + 5*z**2. Factor g(v).
2*v**2*(v + 1)/5
Let i = -42 + 46. Let g(v) be the second derivative of 2/15*v**6 + 1/7*v**7 + 0 + 0*v**3 - 2*v + 0*v**i + 0*v**2 - 1/10*v**5. Factor g(q).
2*q**3*(q + 1)*(3*q - 1)
Let r(i) = i**5 - 7*i**4 - i**3 - 3*i**2. Let q(p) = -p**4 - p**2. Let g(a) = -5*q(a) + r(a). Factor g(f).
f**2*(f - 2)*(f - 1)*(f + 1)
Let m(r) be the first derivative of 0*r**2 + 0*r + 2 + 2/15*r**3. Find q, given that m(q) = 0.
0
Factor -1/11*q - 4/11*q**2 - 6/11*q**3 - 4/11*q**4 + 0 - 1/11*q**5.
-q*(q + 1)**4/11
Let v(m) be the first derivative of 3*m**4/4 - 3*m**2/2 - 9. Factor v(z).
3*z*(z - 1)*(z + 1)
Suppose -4*o = 2 - 6. Let r = o + 1. Factor -7*m**3 + 3*m**r + m**2 - 14*m**5 - 24*m**4 + m**3.
-2*m**2*(m + 1)**2*(7*m - 2)
Let f(m) be the second derivative of -m**5/20 + 5*m**4/12 - 2*m**3/3 - 3*m. Let i be f(4). Factor i*n**3 + 0 - 2/7*n**4 + 0*n - 2/7*n**5 + 0*n**2.
-2*n**4*(n + 1)/7
Solve 0 - 3/4*v**3 - 9/2*v**2 + 0*v = 0 for v.
-6, 0
Let m be (-35)/(-10) + 0 - (-6)/(-2). Let z(y) be the first derivative of -1/9*y**3 - 2/3*y + m*y**2 + 2. Factor z(g).
-(g - 2)*(g - 1)/3
Suppose -4*f + 7*s - 2*s = -33, -f - 3*s = -4. Let n = -4 + f. Factor -n*w**2 + 3*w**2 - 7*w**2 + 2 - 5*w.
-(w + 1)*(7*w - 2)
Let a = -274/5 - -55. Factor 27/5*t + a*t**3 + 9/5*t**2 + 27/5.
(t + 3)**3/5
Let x(k) = k**3 + k**2 - k + 4. Let c be x(0). Factor 2*t**5 + 22*t**2 + 6*t**3 - 3*t**c - 24*t**2 - 3*t**4.
2*t**2*(t - 1)**3
Let j(o) be the second derivative of -o**8/30240 + o**7/1260 - o**6/120 + o**5/20 - o**4/4 - 7*o. Let v(p) be the third derivative of j(p). Factor v(u).
-2*(u - 3)**3/9
Let i(t) be the second derivative of 4*t**5/5 + t**4/3 - 8*t**3/3 - 2*t**2 + 11*t. Factor i(b).
4*(b - 1)*(b + 1)*(4*b + 1)
Suppose -5*o + 2*z = -25, 4*o + o - 3*z - 30 = 0. Factor 10*v + 1 + 4*v**2 - 5 + 2*v**o - 14*v**2 + 2*v**2.
2*(v - 2)*(v - 1)**2
What is c in -129/2*c**2 + 207*c - 54 + 21/4*c**3 = 0?
2/7, 6
Let j = 568/123 + 2/41. Solve 8/3*m**3 - j*m**2 + 0 - 4/3*m = 0 for m.
-1/4, 0, 2
Let c be (1/(-2))/(42/(-56)). Let -2/3*j**3 + 2/3*j + 2/3*j**2 - c = 0. Calculate j.
-1, 1
Suppose -5*x = -5*u, 4*u + 3*x - 1 = -8. Let o = 3 - u. Factor -1/4*y**o + 1/4*y - 1/4*y**3 + 1/4*y**2 + 0.
-y*(y - 1)*(y + 1)**2/4
Let z(y) = -3*y**4 - 45*y**3 - 36*y**2 - 3*y. Let q(b) = -b**4 - 11*b**3 - 9*b**2 - b. Let j(d) = -9*q(d) + 2*z(d). Find a, given that j(a) = 0.
-1, 0
Let v(p) = 2*p - 11. Let g be v(5). Let u be ((-1)/15*3)/g. Factor -u - 1/5*n**4 + 2/5*n**2 - 1/5*n**5 - 1/5*n + 2/5*n**3.
-(n - 1)**2*(n + 1)**3/5
Suppose 99/7*z**2 - 9*z**3 + 9/7 + 12/7*z**4 - 57/7*z = 0. What is z?
1/4, 1, 3
Let a(t) be the second derivative of t**4/12 + 2*t**3/3 + 2*t**2 + 24*t. Factor a(p).
(p + 2)**2
Let y = 2/489 - -2413/7824. Let s = y + 3/16. Factor 1/2*r**3 - 1/2 - s*r + 1/2*r**2.
(r - 1)*(r + 1)**2/2
Factor -6 + 5*p**3 - 8*p**3 + 0 + 6*p**2 + 6*p**3 - 3*p.
3*(p - 1)*(p + 1)*(p + 2)
Let g(v) be the first derivative of 2*v**5/15 + 