2*p**4 + p**5 + 6*p**2 - 4*p**4.
-3*p*(p - 1)*(p + 1)**3
Solve -3*x**5 + 12 + 9*x**4 - 3*x**2 + 2*x**2 + 3*x**3 - 20*x**2 = 0 for x.
-1, 1, 2
Let d(p) = -p**2 - 1. Let g(z) = z - 9. Let u be g(11). Let l(s) = 2*s**2 - 6. Let f(k) = u*d(k) - l(k). Factor f(i).
-4*(i - 1)*(i + 1)
Let t be 0 - -2 - (-8)/(-12)*3. Find q such that 7/2*q**5 + t + q - 5/2*q**4 - 9/2*q**3 + 5/2*q**2 = 0.
-1, -2/7, 0, 1
Let l be 1 - ((-9)/2)/(-9). Determine b, given that -l + 7/4*b - 5/4*b**2 = 0.
2/5, 1
Let j(v) be the third derivative of -v**10/75600 + v**8/5040 - v**6/360 - v**5/60 - 4*v**2. Let g(k) be the third derivative of j(k). Find s such that g(s) = 0.
-1, 1
Suppose 4*x - 10 = -2*i, 30*i + 9 = 4*x + 31*i. Factor 2/11*v + 0 + 2/11*v**x.
2*v*(v + 1)/11
Let n be -2 + 1 + 4 + 1. Find f such that -n*f**3 + 0*f + 5*f**3 - 2*f - 2*f**2 + f**2 = 0.
-1, 0, 2
Let b(c) be the second derivative of 1/3*c**3 + 1/6*c**4 - c**2 - 1/10*c**5 + 0 + 3*c. Determine i so that b(i) = 0.
-1, 1
Let x(l) be the second derivative of 5*l**4/12 - 35*l**3/3 + 245*l**2/2 - 5*l. Find b such that x(b) = 0.
7
Let j(s) = s**3 - 2*s + 1. Let u be j(2). Determine r so that 0 - 3*r + r**5 + 2*r**2 + 4*r**3 - 2 - 2*r**u = 0.
-1, 1, 2
Let x(d) be the first derivative of -1/12*d**3 + 1/24*d**4 + 3 + 0*d**2 + 2*d. Let n(v) be the first derivative of x(v). Determine o so that n(o) = 0.
0, 1
Suppose 25/2*m + 2*m**3 + 14*m**2 + 3 = 0. Calculate m.
-6, -1/2
Let w(f) be the first derivative of f**3/7 + 3*f**2/7 - 9*f/7 - 22. Find z, given that w(z) = 0.
-3, 1
Let j = -699 + 2129/3. Find y such that -64*y**2 - 512/3*y**3 - 512/3*y**4 - 2/3 - j*y = 0.
-1/4
Let c(j) be the third derivative of j**6/40 + 3*j**5/20 + 2*j**2 - 9*j. Factor c(x).
3*x**2*(x + 3)
Let r be 25/7 + (-21)/(-49). Determine p, given that -p - 2*p - 2*p**2 + p + r*p**2 = 0.
0, 1
Let y(i) be the first derivative of -i**6/42 + 4*i**5/35 - 3*i**4/14 + 4*i**3/21 - i**2/14 + 59. Factor y(o).
-o*(o - 1)**4/7
Let n(v) = -7*v**2 - v + 7. Let o be n(-4). Let i be (o/33 + 3)*-3. Find s such that -4/11 - 2/11*s + i*s**2 = 0.
-1, 2
Suppose -52 = -2*k - 5*j, -2*k + 5*j + 52 = 3*j. Suppose -4*p + 5 = -y - 3, 5*y - k = -2*p. Factor 0 + 0*v + 2/3*v**y + 1/3*v**3 + 1/3*v**5 + 0*v**2.
v**3*(v + 1)**2/3
Factor -4*u**2 - 3*u + 3 + 11*u + 11 + 18.
-4*(u - 4)*(u + 2)
Suppose 4*n = 24 + 12. Determine o so that n - 4*o**2 + 4*o - 9 = 0.
0, 1
Factor -5*w + 197 - 5*w**2 - 197.
-5*w*(w + 1)
Let y(w) = w**2 - w - 3. Let a be y(3). Let k = 25 + -20. Factor 0 + 0*f - 1/2*f**2 + 1/2*f**4 + 1/2*f**k - 1/2*f**a.
f**2*(f - 1)*(f + 1)**2/2
Suppose -d = -4*d + 6. Suppose 0 = d*z + 1 - 7. Factor -2/7*b**4 - 2/7*b**z + 0 + 0*b + 2/7*b**2 + 2/7*b**5.
2*b**2*(b - 1)**2*(b + 1)/7
Let d(h) = 21 + 2*h - 21 - 4*h**2. Let l(z) = 1 - 3*z + 9*z**2 - 1. Let p(m) = 5*d(m) + 2*l(m). Find v such that p(v) = 0.
0, 2
Let i(b) be the first derivative of 0*b - 46/5*b**5 + 7/3*b**6 + 2*b**2 + 3 - 26/3*b**3 + 27/2*b**4. Factor i(z).
2*z*(z - 1)**3*(7*z - 2)
Let j(i) be the first derivative of 4*i**3/21 - 2*i**2/7 + 14. Factor j(n).
4*n*(n - 1)/7
Let a(d) be the third derivative of -4*d**2 + 1/105*d**7 + 1/336*d**8 + 0*d - 1/24*d**4 + 0*d**3 - 1/30*d**5 + 0 + 0*d**6. Factor a(r).
r*(r - 1)*(r + 1)**3
Let w = 10 - 9. Suppose -2*k + 9 = 4*z - k, 0 = -k + w. Factor -8/3*y - 8/3 - 2/3*y**z.
-2*(y + 2)**2/3
Let a(l) be the second derivative of -l**5/80 + l**4/32 - 7*l**2/2 + 3*l. Let b(n) be the first derivative of a(n). Determine v so that b(v) = 0.
0, 1
Let h(k) be the second derivative of -k**6/120 - k**5/80 + k**4/48 + k**3/24 - 2*k. Suppose h(o) = 0. What is o?
-1, 0, 1
Let r(x) be the first derivative of -x**9/1512 + x**7/210 - x**5/60 - 4*x**3/3 + 4. Let y(n) be the third derivative of r(n). Factor y(f).
-2*f*(f - 1)**2*(f + 1)**2
Factor 9/5*i + 3/5*i**2 + 6/5.
3*(i + 1)*(i + 2)/5
Let l be 17 - 3/((-3)/(-2)). Let a be 1/((-2)/((-12)/l)). Factor -a*b + 0 + 2/5*b**2.
2*b*(b - 1)/5
Let j(y) be the second derivative of 0 + 2*y - 3*y**2 - 1/2*y**3 + 1/4*y**4. Solve j(c) = 0.
-1, 2
Let z(k) be the second derivative of -5*k**7/126 + 31*k**6/90 - 11*k**5/10 + 31*k**4/18 - 25*k**3/18 + k**2/2 + 15*k. Solve z(l) = 0 for l.
1/5, 1, 3
Let a(w) = w - 23. Let h be a(8). Let v = h + 18. Factor -2/3*o**4 + 0 - 2*o**2 + 2*o**v + 2/3*o.
-2*o*(o - 1)**3/3
Let a be 24/18 - (3 - 3). Factor -4/3*p - 2/3*p**4 + 0*p**2 + a*p**3 + 2/3.
-2*(p - 1)**3*(p + 1)/3
Let i(t) be the second derivative of 1/24*t**4 + 3*t - 1/4*t**2 + 1/24*t**3 - 1/80*t**5 + 0. Factor i(s).
-(s - 2)*(s - 1)*(s + 1)/4
Factor -1/2*j + 3/4 - 1/4*j**2.
-(j - 1)*(j + 3)/4
Let h(k) be the first derivative of -5*k**4/42 + 8*k**3/21 + 4*k**2/7 + 6*k + 7. Let r(f) be the first derivative of h(f). Solve r(b) = 0 for b.
-2/5, 2
Let b(g) = 2*g**2 + g - 2. Let c be b(3). Factor -3 - 140*q**2 - 1 + c*q**2 - 44*q.
-(11*q + 2)**2
Suppose 5*r + 5 = 0, 4*p + 28 = -6*r + 2*r. Let d(y) = -y**3 - 19*y**2 + y - 8. Let f(x) = -2*x**3 - 18*x**2 - 7. Let c(k) = p*d(k) + 7*f(k). Factor c(b).
-(2*b + 1)**3
Let v be 3 - (-4)/(-12)*0. Factor -4*h**3 + 0*h**v + 2*h**2 + 3*h**3.
-h**2*(h - 2)
Let y(i) = 18*i**4 + 30*i**3 + 14*i**2 - i. Let a(f) be the third derivative of f**4/24 - 2*f**2. Let p(g) = -3*a(g) - y(g). What is c in p(c) = 0?
-1, -1/3, 0
Let m(f) be the third derivative of f**5/100 + f**4/40 - f**3/5 + 4*f**2. Factor m(z).
3*(z - 1)*(z + 2)/5
Factor -3/4*u**2 + 3/2*u + 9/4.
-3*(u - 3)*(u + 1)/4
Let r be ((-48)/(-4))/(-3)*6/(-60). Determine w, given that 1/5*w - 1/5*w**3 + 2/5 - r*w**2 = 0.
-2, -1, 1
Let o be (5/4)/(2321/(-198) + 12). Factor 3/4 + 15/4*n**2 - o*n.
3*(n - 1)*(5*n - 1)/4
Let i(o) be the third derivative of -o**6/40 - o**5/10 - o**4/8 + 4*o**2. What is l in i(l) = 0?
-1, 0
Let x = -8 + 26/3. Let j(d) be the third derivative of 0*d - 2*d**2 + 1/20*d**5 + 0 - 1/210*d**7 + 1/6*d**4 - x*d**3 - 1/60*d**6. Factor j(g).
-(g - 1)**2*(g + 2)**2
Suppose -3*p + 1 = -4*p - 4*u, -u = 5*p - 14. Let y(n) be the first derivative of 0*n**2 + 0*n - 1 - 1/3*n**p. Factor y(c).
-c**2
What is p in -2/5*p**3 - 2/5*p**2 + 0 + 4/5*p = 0?
-2, 0, 1
Let l(o) be the first derivative of -o**4/2 + 20*o**3/3 - 25*o**2 - 50. Factor l(i).
-2*i*(i - 5)**2
Let d(z) be the third derivative of -3/8*z**3 - z**2 + 0*z + 0 + 1/80*z**5 - 1/16*z**4. Factor d(v).
3*(v - 3)*(v + 1)/4
Let n(a) be the second derivative of -a**7/210 - a**6/50 - 3*a**5/100 - a**4/60 + 7*a. Factor n(k).
-k**2*(k + 1)**3/5
Let r(a) be the third derivative of -a**5/270 + a**4/18 - a**3/3 + 4*a**2. What is o in r(o) = 0?
3
Let l(c) = 6*c**5 + 7*c**4 + 5*c**2 - 5*c - 5. Let p(m) = -9*m**5 - 11*m**4 - 7*m**2 + 7*m + 7. Let n(k) = 7*l(k) + 5*p(k). Factor n(j).
-3*j**4*(j + 2)
Suppose 0 = b + 2*l - 4, 5*l = 3*b - 0*b - 23. Suppose 5*t + 5*i = 0, -t - 2*i + 3*i = -b. Determine x, given that 1/2*x**t + 0*x - 1/2*x**2 + 0 = 0.
0, 1
Let u be 5/(-2)*32/(-400). Factor 0 + 0*j**2 + u*j**3 - 1/5*j.
j*(j - 1)*(j + 1)/5
Factor -8*f**4 + 6*f**2 + 8*f**2 - 12*f**2 + 6*f**3.
-2*f**2*(f - 1)*(4*f + 1)
Suppose -5*z + 1 = a, -3*a = 1 - 4. Factor -2/7 + 4/7*r + z*r**2 - 4/7*r**3 + 2/7*r**4.
2*(r - 1)**3*(r + 1)/7
Let m be 76/18 + 20/(-90). Suppose -5*t + 0*t - 3*b = 0, 0 = 3*t - m*b. Let 0*p**2 - 1/3*p + t + 1/3*p**3 = 0. Calculate p.
-1, 0, 1
Suppose 0 = -2*c - c + 9. Factor 5 - 3 - 2*b**c - 3*b - 2*b**2 + 5*b.
-2*(b - 1)*(b + 1)**2
Let a = 1600/3 + -533. Factor 0*i - 1/3*i**2 + 0 + a*i**3.
i**2*(i - 1)/3
Let q = 206/287 - 6/41. Factor 6/7*v**4 - 6/7*v + q*v**3 + 2/7*v**5 - 2/7 - 4/7*v**2.
2*(v - 1)*(v + 1)**4/7
Let x(g) = g**2 - 1. Let r(y) = 10*y**2 - 2*y - 8. Let n = -4 + 3. Let v(u) = n*r(u) + 12*x(u). Find t such that v(t) = 0.
-2, 1
Let t = 80 + -80. Let u(y) be the second derivative of 1/30*y**5 - 1/18*y**4 - 1/9*y**3 + 1/3*y**2 + y + t. Factor u(l).
2*(l - 1)**2*(l + 1)/3
Let m(v) be the third derivative of -v**7/2520 - v**4/12 - 4*v**2. Let s(c) be the second derivative of m(c). Let s(k) = 0. Calculate k.
0
Suppose 4*b - l = -b - 7, -2*b - 4*l - 16 = 0. Let q be 0 - b*2/10. Factor -q*g**4 + 1/5*g**3 + 0*g + 1/5*g**5 + 0*g**2 + 0.
g**3*(g - 1)**2/5
Factor 3/4*d**3 + 0 + 1/2*d - 5/4*d**2.
d*(d - 1)*(3*d - 2)/4
Let v(d) be the second derivative of d**9/11880 - d**8/2310 + d**7/1260 - d**6/1980 - d**4/12 + d. Let f(x) be the third