4*m**4. Factor p(c).
4*(c - 4)**2*(c - 1)
Let f = -9 + 12. Suppose 0 = n + f*n - 8. Find a such that -3*a**2 - a**n + 0*a**2 - 12*a + 12 + 4*a = 0.
-3, 1
Let k = 1836/5 - 2533/15. Let q = -198 + k. Let -q*n**2 + 0*n + 0 - 4/3*n**3 + 5/3*n**4 = 0. What is n?
-1/5, 0, 1
Let -2/5*u**2 + 2/5 - 1/5*u + 1/5*u**3 = 0. Calculate u.
-1, 1, 2
Let 232/5*a**2 + 0 + 294/5*a**5 + 616/5*a**4 - 24/5*a - 718/5*a**3 = 0. What is a?
-3, 0, 2/7, 1/3
Let o be ((-354)/54 + 7)*3. Let x(u) be the third derivative of 1/3*u**5 + 0 - 10*u**2 + o*u**3 + 0*u + 7/6*u**4. Factor x(f).
4*(f + 1)*(5*f + 2)
Suppose -i - 22 = -2*g, 3*i - 14 + 0 = -2*g. Let b = g - 8. Factor -5*c**b + 15*c - 7*c + 17*c - 20.
-5*(c - 4)*(c - 1)
Let x be -2 + 21*(-2)/(-78). Let w = x - -197/117. Suppose -2/9*b**2 - w*b + 0 = 0. What is b?
-1, 0
Let b(i) be the third derivative of -i**8/12 + 4*i**7/105 + 7*i**6/10 + 8*i**5/15 - 2*i**4/3 - i**2 + 93*i. Solve b(s) = 0.
-1, 0, 2/7, 2
Let z(m) = 2*m**2 + 5*m. Let d be z(-3). Let w = 0 + 13. Factor -3*x**5 + w*x**5 + 3*x**2 + x**2 - d*x**4 - 9*x**5.
x**2*(x - 2)**2*(x + 1)
Let t(j) = -3*j**3 - 14*j**2 - 21*j - 6. Let g be t(-2). Let c = -535 - -6961/13. Solve -c*z**3 + 0 - 2/13*z**g - 2/13*z - 6/13*z**2 = 0 for z.
-1, 0
Let s(d) be the third derivative of -1/24*d**6 + 1/12*d**5 + 19*d**2 - 1/42*d**7 + 5/24*d**4 + 0*d**3 + 0 + 0*d. Solve s(o) = 0 for o.
-1, 0, 1
Suppose 5*i = 7 + 3. Factor 4*r**3 + 6*r**4 - 4*r**i - 4*r + 2*r**4 - 4*r**4.
4*r*(r - 1)*(r + 1)**2
Let x = 101454/11 - 9222. Suppose -x*n**3 - 10/11*n**4 + 4/11*n**2 + 6/11 + 14/11*n - 2/11*n**5 = 0. Calculate n.
-3, -1, 1
Suppose 6*v = 5*v - 4*v. Let a(k) be the third derivative of 1/6*k**4 - 3*k**2 + 0*k + 1/30*k**6 - 2/15*k**5 + 0 + v*k**3. Factor a(q).
4*q*(q - 1)**2
Let v(o) be the first derivative of 12 - 2/3*o - 8/9*o**3 + 7/6*o**2 - 1/18*o**6 + 2/15*o**5 + 1/6*o**4. Solve v(m) = 0.
-2, 1
Let -1/5*b**2 + 0*b + 0 + 11/5*b**3 + 12/5*b**4 = 0. Calculate b.
-1, 0, 1/12
Let t(j) be the second derivative of -4/13*j**2 - 3*j + 8/13*j**3 + 0 + 9/130*j**5 - 29/78*j**4. Factor t(s).
2*(s - 2)*(s - 1)*(9*s - 2)/13
Let u(d) be the second derivative of 5*d**7/42 + 19*d**6/6 + 237*d. Find h, given that u(h) = 0.
-19, 0
Let y be (9/(-36))/(9/24) + 56/12. What is h in 0 - 4/7*h**y + 2/7*h**2 + h**3 + 0*h = 0?
-1/4, 0, 2
Suppose 4*m - 140 = -10*m. Suppose -5*p - 4 = -14. Determine o, given that -m*o + 12*o + p*o**2 + 2*o = 0.
-2, 0
Let o(z) be the third derivative of -1/210*z**5 - 1/21*z**4 + 0*z + 5/21*z**3 - 9*z**2 + 0. Factor o(n).
-2*(n - 1)*(n + 5)/7
Let x = 47/12 + -43/60. Factor 8/5 + x*s + 2/5*s**3 + 2*s**2.
2*(s + 1)*(s + 2)**2/5
Let v = 15 + -25. Let d be 1/(-2)*(-44 - v). Solve 2*u**3 + 4*u**2 + d*u**3 + 4*u**3 + 3*u**3 + 50*u**4 + 28*u**5 = 0 for u.
-1, -1/2, -2/7, 0
Let a(b) be the third derivative of b**8/448 - b**7/70 - b**6/160 + b**5/20 - b**2 - 64. Find s, given that a(s) = 0.
-1, 0, 1, 4
Suppose 102 = -39*z + 56*z. Let u(t) be the first derivative of 1/24*t**3 + 0*t - z + 1/4*t**2. Factor u(c).
c*(c + 4)/8
Let v = 179/278 - -59/556. What is h in -3/4*h**2 - 3/4*h**3 + 3/4 + v*h = 0?
-1, 1
Let k(u) be the second derivative of -1/5*u**2 + 1/50*u**5 + 1/5*u**3 - 1/10*u**4 + 18*u + 0. Solve k(t) = 0 for t.
1
Let z be 6/2 - 1 - (3 - 6). Let h be (78/60)/(-13) - (-3)/z. Factor -1/2*q - 1/2 + 1/2*q**3 + h*q**2.
(q - 1)*(q + 1)**2/2
Factor 14/11*p**2 + 24/11*p + 2/11*p**3 + 0.
2*p*(p + 3)*(p + 4)/11
Let d(b) be the third derivative of -b**8/4200 + b**7/2100 + b**6/1800 + 7*b**4/12 + 28*b**2. Let s(t) be the second derivative of d(t). Factor s(i).
-2*i*(i - 1)*(4*i + 1)/5
Let f(m) be the third derivative of m**7/126 + m**6/20 + 7*m**5/180 - m**4/12 - 31*m**2 + 2*m. Factor f(v).
v*(v + 1)*(v + 3)*(5*v - 2)/3
Suppose 0 = 3*x - 4*y, 0 = -x + 4*x + y. Let w be (3/2 - x) + (-88)/80. Factor 0*v**3 + 0 + 0*v + 2/5*v**5 + 0*v**2 - w*v**4.
2*v**4*(v - 1)/5
Let v(l) be the first derivative of 2/15*l**3 + 0*l**2 - 18 - 2/5*l. Factor v(h).
2*(h - 1)*(h + 1)/5
Let z(j) = 4*j - 6*j + 12 - 7*j + 17. Let n be z(3). Determine t so that -25/4 - 1/4*t**n + 5/2*t = 0.
5
Let a = 2137 + -19229/9. Factor -2/9 + 2/9*g**4 - a*g + 0*g**2 + 4/9*g**3.
2*(g - 1)*(g + 1)**3/9
Let q = 59 - 28. Determine l so that 47*l + 4*l**2 - 38*l + q*l + 100 = 0.
-5
Factor 11/5*c - 23/5*c**2 + 0 + 13/5*c**3 - 1/5*c**4.
-c*(c - 11)*(c - 1)**2/5
Let u = -5492/3 + 1792. Let n = -38 - u. Find x, given that n*x**2 + 0 + 2/9*x**4 + 2/3*x**3 + 2/9*x = 0.
-1, 0
Let s(j) = -j - j**2 + 8*j + 12 - 3. Let i be s(7). Factor -8 + i*b + 3*b + 20*b**2 - 2 + 2.
4*(b + 1)*(5*b - 2)
Let p = -1/4019 + 16079/12057. Factor -p*y - 2/3 - 2/3*y**2.
-2*(y + 1)**2/3
Factor -7*z**3 - 8*z**3 + 3*z**3 + 12*z - 4*z**4 + 4*z**2.
-4*z*(z - 1)*(z + 1)*(z + 3)
Determine x, given that -38*x**2 + 12*x**3 - 9*x**3 + 32*x**2 = 0.
0, 2
Let p = 2/1721 + 5159/3442. Let w = -33 - -69/2. Factor -r**2 + p*r**4 - 1/2*r**5 - 1/2 - r**3 + w*r.
-(r - 1)**4*(r + 1)/2
Suppose -4*a + 18 = 2*a. Let w be 2 + -4 + a - -2. Factor -27*i**2 + 6*i - 2*i**3 + 4*i**3 + 8*i**w - i**3 + 12*i**4.
3*i*(i - 1)*(i + 2)*(4*i - 1)
Let j = 174 + -168. Let n(w) be the second derivative of 3*w + 0*w**5 + 0 + 0*w**3 + 1/336*w**7 + 0*w**2 + 0*w**4 - 1/240*w**j. Factor n(a).
a**4*(a - 1)/8
Let r(i) = 25*i**3 + 319*i**2 + 199*i + 33. Let p(u) = -24*u**3 - 321*u**2 - 198*u - 33. Let l(q) = 2*p(q) + 3*r(q). Suppose l(c) = 0. What is c?
-11, -1/3
Let h = 200 - 198. Let s(f) be the third derivative of 0*f**3 + 3*f**h + 0 - 1/840*f**6 + 1/140*f**5 + 0*f - 1/84*f**4. Let s(i) = 0. Calculate i.
0, 1, 2
Let -7/3*h + 4/3*h**2 + 1 = 0. Calculate h.
3/4, 1
Let x(b) = 3*b + 9. Let d be x(-3). Let f(h) be the second derivative of -1/9*h**3 + 7/36*h**4 - 1/12*h**5 - 5*h + 0*h**2 + d. Factor f(j).
-j*(j - 1)*(5*j - 2)/3
Let u be 5/(-6) + (-289)/(-102). Solve -4/3*k**u - 28/3 + 32/3*k = 0 for k.
1, 7
Let u be (64/(-28))/(-8)*8/8. Let n be (6/3 + -4)/(-1). Determine s, given that 6/7 - 8/7*s + u*s**n = 0.
1, 3
Let n(o) = -9*o**3 - 25*o**2 + 54*o - 20. Let m(y) = -y**3 + 2*y**2 - 1. Let d(p) = -4*m(p) + n(p). Solve d(u) = 0 for u.
-8, 2/5, 1
Suppose 8*x + 81 = 5*x. Let g = x + 31. Factor -2/7*z**g + 2/7*z**3 + 2/7*z**2 - 2/7*z + 0.
-2*z*(z - 1)**2*(z + 1)/7
Let j(r) be the first derivative of -r**6/2 - 33*r**5/5 - 24*r**4 - 28*r**3 - 790. Factor j(f).
-3*f**2*(f + 2)**2*(f + 7)
Find o, given that -5/2*o**3 - 1/2*o**4 - 3/2*o + 0 - 7/2*o**2 = 0.
-3, -1, 0
Let m(z) be the second derivative of -z**7/1260 - z**6/144 + z**5/60 + 9*z**2/2 + 5*z. Let x(d) be the first derivative of m(d). Find o, given that x(o) = 0.
-6, 0, 1
Let s be (32/6)/2*105/364. Let -s*u**3 - 2/13*u**4 + 16/13 + 8/13*u - 12/13*u**2 = 0. What is u?
-2, 1
Let m = 3965 + -3963. Determine l so that 2/21 + 0*l - 2/21*l**m = 0.
-1, 1
Let t be (64/(-70))/(464/(-3480)). Factor -120/7*q**4 - 16/7*q + t*q**2 + 44/7*q**3 + 0 - 100/7*q**5.
-4*q*(q + 1)**2*(5*q - 2)**2/7
Let g = -186 - -190. Suppose 4*s - 8 = -g*t, -2*s - 2*t = 2*t - 4. Factor -4/5 + s*m + 2/5*m**3 - 8/5*m**2.
2*(m - 2)*(m - 1)**2/5
Suppose -4*a - 2*k = -2, -8*a + 15 - 5 = 2*k. Determine z, given that -14/5*z**4 + 6*z**a - 16/5 - 52/5*z + 52/5*z**3 = 0.
-1, -2/7, 1, 4
Let 78/7 + 2/7*j**2 + 80/7*j = 0. What is j?
-39, -1
Let i(m) be the first derivative of -1/2*m**2 - 4/5*m - 1/15*m**3 - 21. Factor i(w).
-(w + 1)*(w + 4)/5
Suppose 367 - 72*g**3 - 227 + 4*g**4 + 720*g + 244*g**2 + 260 = 0. Calculate g.
-1, 10
Solve -4*i**4 - 3*i**5 + 3099*i**3 + 2*i**2 - 1546*i**3 - 1552*i**3 = 0.
-1, 0, 2/3
Let z(s) be the first derivative of -7*s**5 + 25*s**4/4 + 80*s**3/3 + 10*s**2 + 22. Suppose z(p) = 0. Calculate p.
-1, -2/7, 0, 2
Find h such that -33/2*h + 1 - 37*h**2 = 0.
-1/2, 2/37
Let b(v) be the second derivative of v**7/84 + 2*v**6/15 + v**5/2 + 2*v**4/3 + 32*v - 2. Solve b(h) = 0.
-4, -2, 0
Factor 726*p + 1/2*p**3 - 33*p**2 - 5324.
(p - 22)**3/2
Let c(n) be the third derivative of n**5/330 + 3*n**4/44 + 14*n**3/33 + 8*n**2 - 1. What is z in c(z) = 0?
-7, -2
Suppose 4*c = 5*a - 10, -3*a + 2*c + 6 = -0*c. Let -20*u + 4 + 5*u**a - 7 + 27 - 9 = 0. What is u?
1, 3
Suppose 3*w + 4 = 4*w. Suppose g - w*g + 81 = 0. Factor g*d**3 + d**4 + 21*d + 12*d**3 + 45*d**2 + 3 + 9*d**4 + 2*d**4.
3*(d + 1)**3*(4*d + 1)
Let w(b) = 2