 = -d**3 + 7*d**2 - d - 7. Let c be w(7). Let h be (2/(-7))/(3/c). Factor h + 10/3*q + 2*q**2.
2*(q + 1)*(3*q + 2)/3
Factor -2/7*u**5 + 0 + 0*u + 6/7*u**4 - 6/7*u**3 + 2/7*u**2.
-2*u**2*(u - 1)**3/7
Let o(m) = 3*m - 1. Let b be o(2). Factor -3*g**5 - 3 + 7 - 19*g**3 + 25*g**2 + 2*g**b + 7*g**4 - 16*g.
-(g - 2)**2*(g - 1)**3
Let q(w) be the second derivative of 1/3*w**3 + 1/8*w**5 + 0*w**2 - 1/60*w**6 - 1/3*w**4 + 0 + 8*w. Factor q(n).
-n*(n - 2)**2*(n - 1)/2
Let f(n) = 3*n - 72. Let b be f(25). Factor 0 + 2/3*u**4 + 0*u + 4/3*u**2 + 2*u**b.
2*u**2*(u + 1)*(u + 2)/3
Let i(r) = r**2 + 8*r - 1. Let u be i(-7). Let m(t) = -t**2 - 8*t + 2. Let j be m(u). Determine q so that -2/7*q**j + 0*q + 2/7 = 0.
-1, 1
Suppose -36*w + 40*w = 12. Determine c so that 9/2*c**w - 3/2*c**4 + 0 - 9/2*c**2 + 3/2*c = 0.
0, 1
Let u(c) be the first derivative of 0*c + 0*c**2 + 1/12*c**4 - 1 + 0*c**3. Factor u(a).
a**3/3
Let l(u) be the first derivative of 1/10*u**5 - 1/2*u + 1/2*u**2 - 1/4*u**4 + 0*u**3 - 3. Factor l(g).
(g - 1)**3*(g + 1)/2
Let n(f) be the second derivative of f**4/66 - 9*f**2/11 + 6*f. Suppose n(t) = 0. Calculate t.
-3, 3
Let y = -17 + 6. Let o = -7 - y. Solve 6*r**3 - 6*r + o - 5*r**4 + 0*r**4 - 1 + 2*r**4 = 0.
-1, 1
Let x be (412/(-6) - 4)/(-1). Let q = x + -72. Determine a so that q*a + 2/3*a**2 + 0 = 0.
-1, 0
Let q(o) be the third derivative of 2*o**7/735 - o**6/105 + o**5/105 + 21*o**2. Factor q(g).
4*g**2*(g - 1)**2/7
Let t(b) be the third derivative of -b**8/264 + 26*b**7/1155 + b**6/44 - 13*b**5/165 - 2*b**4/33 - 17*b**2. Let t(d) = 0. Calculate d.
-1, -2/7, 0, 1, 4
What is z in -79*z**4 + 16*z**3 + 3*z - 2*z**5 - 2*z**2 - 8 + 83*z**4 - 17*z + 6*z**2 = 0?
-1, 1, 4
Suppose i = -2*i + 15, -5*b = -4*i - 120. Let t = b + -138/5. Factor 2/5*a + t*a**2 - 2/5 - 2/5*a**3.
-2*(a - 1)**2*(a + 1)/5
Let p = -673 - -10099/15. Let k(j) be the second derivative of 0*j**4 + 0*j**2 + 0*j**3 + 1/7*j**7 + 0 + p*j**6 + j + 2/15*j**5. Find l such that k(l) = 0.
-2/3, 0
Let b(w) = -w - 2. Let c be b(0). Let j be (2 + -1)/(c/(-4)). Factor 0 - 1/3*m - 1/3*m**j.
-m*(m + 1)/3
Determine p, given that 1 + 2*p**2 + 9*p + p**2 - 13 = 0.
-4, 1
Let h be (214/12)/(15/1480). Let a = -1756 + h. Factor -2*o**2 - a*o**4 - 2/9*o - 16/3*o**3 + 0.
-2*o*(o + 1)*(4*o + 1)**2/9
Let g(w) be the first derivative of -3/2*w**2 + 0*w + w**3 - 3. Factor g(z).
3*z*(z - 1)
Let s(c) be the second derivative of -1/130*c**5 + 0 + c - 2/39*c**3 + 0*c**2 - 1/26*c**4. Factor s(p).
-2*p*(p + 1)*(p + 2)/13
Let m = -8 + 10. Let p be 3/(1*3/m). Factor -1/4*d**p + 1/4*d + 0.
-d*(d - 1)/4
Let b be (8/28)/(3/42). Suppose 3*r**2 - r**3 - 2*r**2 - b*r + 3*r**2 = 0. Calculate r.
0, 2
Let t(s) be the third derivative of -5*s**8/336 + s**6/6 + s**5/6 - 5*s**4/8 - 5*s**3/3 + 14*s**2. Factor t(k).
-5*(k - 2)*(k - 1)*(k + 1)**3
Factor -2/9*f**5 + 0*f**4 + 0*f + 0*f**2 + 0 + 0*f**3.
-2*f**5/9
Let h = 11 - 9. Solve 2*a + h*a - 3*a**2 + 5*a - 6 + 0*a**2 = 0.
1, 2
Factor 0*m + 0 - 1/3*m**3 + 2/3*m**2.
-m**2*(m - 2)/3
Factor -4*w**2 - 4/3*w**3 + 0 - 8/3*w.
-4*w*(w + 1)*(w + 2)/3
Let w = -14 - -16. Factor -11*p**2 - 10*p - 16*p**4 - 20*p**3 + 6*p**4 - 2*p**5 - 2 - 9*p**w.
-2*(p + 1)**5
Let m(x) be the third derivative of 1/15*x**5 + 0*x**4 + 0*x**3 + 0 + 0*x - x**2. Factor m(d).
4*d**2
Suppose -3*q - 4 = -4*q. Suppose -2*h + 44 = 5*m + h, m - 4*h + 5 = 0. What is w in -w**3 + 0*w**4 - 5*w**q + m*w**4 = 0?
0, 1/2
Let q(s) be the first derivative of s**5/5 - s**4/2 + s**2 - s - 21. Factor q(r).
(r - 1)**3*(r + 1)
Suppose -14*f = -12*f. Let k(i) be the second derivative of f*i**2 - 7/15*i**6 + 0 - 1/5*i**5 + 2/3*i**3 - i + 7/6*i**4. Find t such that k(t) = 0.
-1, -2/7, 0, 1
Factor 0*n**2 + 12*n - 1732 + 1717 + 3*n**2.
3*(n - 1)*(n + 5)
Let x(t) be the first derivative of 1/13*t**4 + 0*t + 0*t**2 - 2/39*t**3 - 1 - 2/65*t**5. What is o in x(o) = 0?
0, 1
Let c(z) be the third derivative of z**7/42 - 13*z**6/120 + z**5/15 + z**4/6 - 46*z**2. Solve c(s) = 0 for s.
-2/5, 0, 1, 2
Suppose -q - q - 6 = 0, -4*q - 16 = -2*d. Let z(h) = -h - 7. Let s be z(-9). Let 3*u**2 - 2*u**s + 2*u**3 - 2 - 7*u**d + 6*u = 0. What is u?
1
Let q(d) be the first derivative of -d - 1/80*d**5 + 1/8*d**2 + 1 + 1/16*d**4 - 1/8*d**3. Let b(m) be the first derivative of q(m). Factor b(n).
-(n - 1)**3/4
Factor 10*k**2 + 0*k**3 - 5*k**3 - 69*k**4 + 64*k**4.
-5*k**2*(k - 1)*(k + 2)
Let y(l) be the first derivative of -2 + 0*l**2 - 2/3*l**3 + 0*l - 1/1440*l**6 - 1/160*l**5 - 1/48*l**4. Let s(h) be the third derivative of y(h). Factor s(k).
-(k + 1)*(k + 2)/4
Let p(f) be the first derivative of -f**5/90 + f**4/36 - 3*f**2/2 + 4. Let d(j) be the second derivative of p(j). Suppose d(o) = 0. What is o?
0, 1
Let k(j) be the third derivative of -j**6/60 + j**5/30 + j**4/12 - j**3/3 + 7*j**2. Factor k(n).
-2*(n - 1)**2*(n + 1)
Let k(j) be the first derivative of -1/16*j**4 + 2 - 1/8*j**2 + 0*j - 1/6*j**3. Factor k(i).
-i*(i + 1)**2/4
Suppose -6/7 - 3/7*b**5 - 9/7*b + 12/7*b**3 + 6/7*b**2 + 0*b**4 = 0. Calculate b.
-1, 1, 2
Let k(b) = b**4 + 5*b**3 - b**2 - b + 2. Let f(q) = q**4 + q**3 + q. Let u(w) = 6*f(w) - 3*k(w). Suppose u(a) = 0. Calculate a.
-1, 1, 2
Factor 0 - 12/5*h - 4/5*h**2.
-4*h*(h + 3)/5
Let s = 73/18 - -11/18. Let q(g) be the first derivative of 1 - 15/2*g**4 + 0*g + 26/5*g**5 - 4/3*g**6 + s*g**3 - g**2. Find d such that q(d) = 0.
0, 1/4, 1
Let g(w) be the third derivative of w**7/1050 + w**6/300 - w**5/300 - w**4/60 - 5*w**2. Factor g(t).
t*(t - 1)*(t + 1)*(t + 2)/5
Let 2/17*m + 0 - 4/17*m**2 + 2/17*m**3 = 0. What is m?
0, 1
Let g(y) be the first derivative of y**7/840 - y**5/40 + y**4/12 + 4*y**3/3 - 3. Let k(b) be the third derivative of g(b). Let k(d) = 0. What is d?
-2, 1
Let k be (7 - 5)*(1 - -1). Suppose 2*o**k + 5*o**4 - 3*o**3 - 3*o**4 - o**4 = 0. Calculate o.
0, 1
Factor -3*p + 10 - 16 + 15*p**3 + 6 + 12*p**2.
3*p*(p + 1)*(5*p - 1)
Let b(l) be the first derivative of 16*l**4/3 - 224*l**3/9 - 62*l**2/3 - 16*l/3 + 31. Factor b(n).
4*(n - 4)*(4*n + 1)**2/3
Let x = 35169/20 - 1758. Let d(a) be the second derivative of 0 + 0*a**3 + x*a**5 + 0*a**2 + 1/14*a**7 + 2*a + 1/4*a**4 + 3/10*a**6. Factor d(y).
3*y**2*(y + 1)**3
Let u(l) be the second derivative of -l**7/1260 - l**6/120 - l**5/30 + l**4/12 + 4*l. Let a(y) be the third derivative of u(y). Factor a(q).
-2*(q + 1)*(q + 2)
Let o(l) be the third derivative of l**5/20 - l**4/4 + l**3/2 - 15*l**2. Let o(z) = 0. What is z?
1
Let v be 2/(-4)*(-32)/8. Let o(t) be the third derivative of -3*t**v + 0*t**3 - 1/45*t**5 + 0 + 1/180*t**6 + 1/36*t**4 + 0*t. Factor o(x).
2*x*(x - 1)**2/3
Factor -3/2*g**2 + 6*g - 6.
-3*(g - 2)**2/2
Let f(g) = g**2 - 5. Let p be f(-3). Determine k, given that 1/2*k**3 - 2 - 5/2*k**2 + p*k = 0.
1, 2
Find s, given that s**2 - 1/3*s**3 + 4/3*s + 0 = 0.
-1, 0, 4
Let a(q) be the third derivative of 0*q + q**2 - 1/120*q**5 + 1/96*q**4 + 0 + 1/24*q**3. Factor a(m).
-(m - 1)*(2*m + 1)/4
Let i = 11 + -11. Let z(v) = 3*v**3 - v**2 + 2*v - 1. Let m be z(1). Let -f + i*f - f**m + 2*f = 0. Calculate f.
-1, 0, 1
Let m = -167 - -170. Factor 2/13*l**2 + 0 - 4/13*l + 2/13*l**m.
2*l*(l - 1)*(l + 2)/13
Let x(o) = o**3 - 4*o**2 - 4*o + 1. Let v be x(5). Suppose -3*f + 2*f = -3*s - 11, 2*s = -v. Factor 2/9*a**3 - 4/9*a**f + 0 + 2/9*a.
2*a*(a - 1)**2/9
Let p(w) = -11*w**2 - 11*w + 16. Let i(m) = 10*m**2 + 10*m - 15. Let o(l) = 6*i(l) + 5*p(l). Factor o(s).
5*(s - 1)*(s + 2)
Let f(b) be the second derivative of -b**7/5040 - b**6/480 - b**5/120 + b**4/6 + 3*b. Let x(i) be the third derivative of f(i). Suppose x(c) = 0. What is c?
-2, -1
Let a(b) = 10*b - 130. Let d be a(13). Factor -3/2*s + d + 1/2*s**2.
s*(s - 3)/2
Suppose -3*v + 6 = -2*f, 23*f + 10 = 5*v + 28*f. Factor -1/3*b**3 + 1/3*b + 2/3 - 2/3*b**v.
-(b - 1)*(b + 1)*(b + 2)/3
Let i be 4/(-6)*(-2 + -1). Factor -6 + 0*b + 4*b**3 - 4*b - 2 + 14*b**2 - 6*b**i.
4*(b - 1)*(b + 1)*(b + 2)
Let a be 6 + -1 - (-1 + 4). Factor -2*d**2 + 2*d**2 + 10*d - 4 + 6*d**a.
2*(d + 2)*(3*d - 1)
Let c(g) be the third derivative of -1/20*g**5 - 2*g**3 - 4*g**2 + 0*g + 1/2*g**4 + 0. Factor c(z).
-3*(z - 2)**2
Let p(u) be the first derivative of -2*u**6/3 + 4*u**5/5 + u**4 - 4*u**3/3 + 9. Solve p(g) = 0 for g.
-1, 0, 1
Let d be (-3)/(-36) - (-3)/18. Factor 0*q**2 +