ative of t**3 - 3/4*t**4 + d + 3*t**2 + 0*t. Suppose o(x) = 0. What is x?
-1, 0, 2
Let t(z) = z**3 - 6*z**2 - 8*z + 7. Let n be t(7). Factor n*l**4 + 2*l**4 - l**3 + l**4 + 3*l**2 - 5*l**3.
3*l**2*(l - 1)**2
Let i(h) be the second derivative of -h**7/11340 + h**6/3240 + h**4/6 - 3*h. Let u(g) be the third derivative of i(g). Find f, given that u(f) = 0.
0, 1
Suppose w + 84 = 8. Let c be 2/5 - w/10. Let -c*m + 0*m**2 - 8 - 2*m**2 + 0*m**2 = 0. What is m?
-2
Suppose -8 = -3*c - 8. Factor 0*d + 2/3*d**2 + c + 4/3*d**3 + 2/3*d**4.
2*d**2*(d + 1)**2/3
Let s(t) be the third derivative of -t**6/40 + 3*t**4/8 + t**3 - 6*t**2. Factor s(u).
-3*(u - 2)*(u + 1)**2
Let q(a) be the first derivative of a**6/420 + a**5/210 - a**4/84 - a**3/21 + a**2 - 6. Let t(s) be the second derivative of q(s). Factor t(v).
2*(v - 1)*(v + 1)**2/7
Let q(b) be the second derivative of b**5/10 - b**4/12 - 3*b**3 + 9*b**2/2 - 2*b - 9. Factor q(p).
(p - 3)*(p + 3)*(2*p - 1)
Let z = 89/1164 - -2/291. Let r(k) be the third derivative of 1/120*k**5 - 3*k**2 - z*k**3 - 1/24*k**4 + 0*k + 0 + 1/120*k**6. Factor r(p).
(p - 1)*(p + 1)*(2*p + 1)/2
Let c(y) = -15*y**2 - 108*y - 477. Let a(x) = -7*x**2 - 54*x - 239. Let o(u) = 9*a(u) - 4*c(u). Let o(l) = 0. What is l?
-9
Factor 5*k**4 + 4*k**3 + 2*k**4 + 16*k**3 - 80*k - 2*k**4 - 80.
5*(k - 2)*(k + 2)**3
Let i(h) = -13*h**2 + 19*h - 16. Let g(x) = 6*x**2 - 10*x + 8. Let l(r) = 5*g(r) + 2*i(r). What is m in l(m) = 0?
1, 2
Suppose 5*z + 4*y - 137 - 93 = 0, 46 = z - 3*y. Suppose z*t**5 + 30*t**2 + 99*t**3 + 3*t - 2*t**5 + 120*t**4 + 4*t**5 = 0. What is t?
-1, -1/4, 0
Suppose -a = -4*a. Determine c, given that 2*c**4 - 3*c**3 - c**3 + 0*c**2 + a*c**2 = 0.
0, 2
Let w(z) be the third derivative of z**6/320 + z**5/160 - z**4/64 - z**3/16 + 6*z**2. Find o, given that w(o) = 0.
-1, 1
Let k(o) be the first derivative of -2*o**5/55 - o**4/11 + 8*o**3/33 + 8*o**2/11 - 35. Suppose k(r) = 0. What is r?
-2, 0, 2
Let k(x) be the third derivative of -x**6/40 - x**5/10 - x**4/8 - 6*x**2. Factor k(c).
-3*c*(c + 1)**2
Let f(j) = j**2 - 1. Let q(t) = -3*t**2 - 3*t + 4. Let x = -18 - -19. Let a(p) = x*q(p) + 4*f(p). Factor a(y).
y*(y - 3)
Let x = 29 + -1913/66. Let k(i) be the third derivative of x*i**4 + 1/33*i**3 + 1/330*i**5 + 0*i + 0 + 2*i**2. Suppose k(l) = 0. Calculate l.
-1
Let m(p) = -p**2 - 9*p - 10. Let i be m(-7). Let k be ((-2)/10)/(i/(-8)). Let -2/5*g**2 + k + 0*g = 0. Calculate g.
-1, 1
Let v(f) = 3*f**4 + 12*f**3 - 12*f. Let a(q) = q**4 + 5*q**3 - 5*q. Let u(o) = 12*a(o) - 5*v(o). Let u(s) = 0. Calculate s.
0
Let -8/11*z**3 + 8/11*z + 2/11*z**4 + 6/11*z**2 - 8/11 = 0. Calculate z.
-1, 1, 2
Factor 0*t**2 - 5*t + t - t**2 + 3*t.
-t*(t + 1)
Solve 7/2*r**3 + 11*r**2 - 5/2*r**4 - 4 - r**5 + 2*r = 0 for r.
-2, -1, 1/2, 2
Let s(h) be the second derivative of -h**6/120 + h**5/10 - h**4/2 - h**3 - h. Let p(y) be the second derivative of s(y). Find m, given that p(m) = 0.
2
Factor -4*p**4 + 4*p**3 - 4*p**2 + 0*p**4 - 4*p**5 + 0*p**2 + 8*p**2.
-4*p**2*(p - 1)*(p + 1)**2
Suppose 5*n + c - 20 = -3*c, 4*n - 3*c = -15. Let y = n + 0. Factor 2/3*t**3 + y*t - 2/3*t**2 + 0.
2*t**2*(t - 1)/3
Let c = -109 + 115. Let w(r) be the third derivative of 4*r**2 + 1/60*r**5 + 0 + 1/96*r**4 + 0*r - 1/12*r**3 - 1/160*r**c. Factor w(l).
-(l - 1)**2*(3*l + 2)/4
Let m(a) = -a**3 - 15*a**2 - 27*a - 11. Let r be m(-13). Factor -1/6*t + 1/6*t**r - 1/6 + 1/6*t**3.
(t - 1)*(t + 1)**2/6
Find f, given that 6*f - 16/3*f**3 - f**4 + 0 - 5*f**2 = 0.
-3, 0, 2/3
Let b(i) be the second derivative of 1/5*i**3 + 0*i**2 - 7/50*i**6 - 3/20*i**4 + 0 - 9/25*i**5 - 5*i. Factor b(z).
-3*z*(z + 1)**2*(7*z - 2)/5
Let n be -2 - (-156)/20 - 5. Solve -n - 6/5*m**2 + 2*m = 0 for m.
2/3, 1
Factor 0 + 0*x + 1/5*x**2.
x**2/5
Let m = 9 - 5. Let p(w) be the second derivative of 1/80*w**5 + 1/120*w**6 + 0*w**m + 0 + 0*w**2 + 0*w**3 + 2*w. Factor p(d).
d**3*(d + 1)/4
Suppose 0 = -4*a + 12. Let y be a - -3*(-2 - -1). Factor y*m**2 + 0 + 0*m + 1/2*m**3 - 1/2*m**4.
-m**3*(m - 1)/2
Let x = 12 + -9. Suppose -1 - 5 = -x*y. Factor -2*w**y - 7*w + 2*w + 2*w**3 + 2*w**4 + 3*w.
2*w*(w - 1)*(w + 1)**2
Let m(d) be the second derivative of -1/2*d**4 - 1/2*d**2 + 11/12*d**3 + 0 - 8*d. Find p such that m(p) = 0.
1/4, 2/3
Let c(z) = z**4 + z**3 - z**2 + z + 1. Let s(o) = -6*o**4 - 7*o**3 + 8*o**2 - 5*o - 5. Let d(h) = -20*c(h) - 4*s(h). Factor d(x).
4*x**2*(x - 1)*(x + 3)
Factor -3/2*i + 1/2*i**2 + 1.
(i - 2)*(i - 1)/2
Let w(x) be the second derivative of x**7/252 + x**6/180 - x**5/60 - x**4/36 + x**3/36 + x**2/12 - 5*x. Factor w(y).
(y - 1)**2*(y + 1)**3/6
Let i = -6 + 9. Let -28*x + 8*x**4 - 3*x**5 + 2*x**5 - 8 + 5*x**5 - 8*x**i - 32*x**2 = 0. What is x?
-1, 2
Let l(v) be the first derivative of -v**4/6 + 4*v**3/3 - 4*v**2 - v + 4. Let b(a) be the first derivative of l(a). Factor b(t).
-2*(t - 2)**2
Let h(l) = 12*l**3 - 6*l + 0*l**4 + 3*l**2 + 3*l**4 + 0*l**4 + 6. Let r(o) = 8*o**4 + 35*o**3 + 8*o**2 - 17*o + 17. Let f(w) = -17*h(w) + 6*r(w). Factor f(u).
-3*u**2*(u - 1)**2
Let j = -7438/1287 + 2/1287. Let x = j - -167/18. Factor z + 2*z**3 + x*z**2 - 1/2.
(z + 1)**2*(4*z - 1)/2
Let x(z) = z**3 - 3*z**2 - 2*z - 3. Let i be x(4). Let a = -3 + i. Find u such that -3*u + 0*u**a + u**2 + 2*u = 0.
0, 1
Let m = -13 + 14. Let h(o) be the first derivative of 0*o - 1/3*o**3 - m + 0*o**2. Factor h(v).
-v**2
Let g = -16 + 11. Let y(x) = x**3 + 5*x**2 + 3. Let q be y(g). Let -s**3 + 3*s**2 + 1 - s**2 - q*s**2 + s = 0. Calculate s.
-1, 1
Factor -1/6*p**4 + 1/6*p - 1/2*p**2 + 1/2*p**3 + 0.
-p*(p - 1)**3/6
Factor 4/3 - 7/3*f - 2/3*f**2.
-(f + 4)*(2*f - 1)/3
Let c(r) = -r**2 + 11*r - 28. Let b be c(7). Solve -1/3*l + 0*l**4 - 1/3*l**5 + 0*l**2 + 2/3*l**3 + b = 0.
-1, 0, 1
Let w be ((-15)/(-4) - 5)*24/(-20). Factor 2*o - w*o**3 + 0 + 1/2*o**4 + 0*o**2.
o*(o - 2)**2*(o + 1)/2
Suppose 2*l**4 - 7*l**4 + 2*l**2 - l**2 + 10*l**3 - 6*l**2 = 0. What is l?
0, 1
Let d(v) = v**2 - 4*v - 3. Let i be d(5). Factor -3*z**4 + 3*z**4 + 4*z - 2*z**4 - 4*z**3 + i.
-2*(z - 1)*(z + 1)**3
Let b be -1 + ((-162)/(-5) - 1). Let f = -30 + b. Factor -f*z**2 + 1/5*z + 1/5*z**5 + 1/5*z**4 - 2/5*z**3 + 1/5.
(z - 1)**2*(z + 1)**3/5
Let b be 3/((-294)/28)*(-14)/8. Solve 1/2*h**3 - 1/2*h + 1/2*h**2 - b = 0.
-1, 1
Let a be (-1 - 0)*(-7 - (0 + -5)). Let -2/3*j + 0*j**a + 0 + 2/3*j**3 = 0. What is j?
-1, 0, 1
Let o = -36 + 60. Let w(i) = i**3 + i**2. Let d(t) = 9*t**3 + 6*t**2. Let a(l) = o*w(l) - 3*d(l). Find y, given that a(y) = 0.
0, 2
Let n(q) be the first derivative of 6*q**5/25 + 2*q**4/5 + 2*q**3/15 - 44. Let n(x) = 0. Calculate x.
-1, -1/3, 0
Let m(v) be the third derivative of v**4/24 + 5*v**3/3 + v**2. Let a be m(-8). Determine g so that 6/7*g + 10/7*g**4 - 6/7*g**3 - 2*g**a + 4/7 = 0.
-1, -2/5, 1
Factor 4/5*u**4 + 12/5*u**3 + 4/5*u + 12/5*u**2 + 0.
4*u*(u + 1)**3/5
Let r(b) be the third derivative of b**8/336 - b**7/105 - b**6/120 + b**5/30 + 13*b**2. Factor r(g).
g**2*(g - 2)*(g - 1)*(g + 1)
Factor -4*c**4 - 10*c**2 + 6*c**2 - 3*c**3 + c**3 - 6*c**3.
-4*c**2*(c + 1)**2
Factor -1/4*n + 1/4*n**3 - n**2 + 1.
(n - 4)*(n - 1)*(n + 1)/4
Let q = -16 - -18. Let x be ((-33)/44)/((-3)/q). Solve -o**2 + 1/2*o**3 + x*o + 0 = 0 for o.
0, 1
Let m be (-9)/(-2) + 1/(-2). Suppose c = -m*c + 20. Factor 84*u**4 + 56*u**2 - 122*u**3 - 7*u**5 - 11*u**5 - 4*u - c*u.
-2*u*(u - 2)**2*(3*u - 1)**2
Let m(h) be the second derivative of -1/50*h**5 + 0*h**3 + 0*h**2 + 0 + h + 0*h**4 - 2/75*h**6 - 1/105*h**7. Factor m(x).
-2*x**3*(x + 1)**2/5
Factor 0*a**4 + 0 + 1/9*a**5 + 1/9*a + 0*a**2 - 2/9*a**3.
a*(a - 1)**2*(a + 1)**2/9
Suppose 0 = 4*s - 3*s + 6. Let t(f) = -f - 2. Let m be t(s). Find z, given that 0 + 8/3*z**m + 16/3*z**5 - 1/3*z - 8/3*z**2 - 5*z**3 = 0.
-1, -1/4, 0, 1
Let z(w) = -w**2 + 4*w. Let f be z(3). Suppose -4*q - 2*y = f*y - 33, -q = 5*y - 27. Suppose 4*p**2 - 3*p**q - 3*p**2 = 0. What is p?
0
Let m(j) be the first derivative of -j**4/3 - 20*j**3/9 - 16*j**2/3 - 16*j/3 + 7. Factor m(g).
-4*(g + 1)*(g + 2)**2/3
Factor 0*b + 0 - 2/7*b**3 - 2/7*b**4 + 4/7*b**2.
-2*b**2*(b - 1)*(b + 2)/7
Let -8/11*b**2 + 6/11 - 2*b = 0. What is b?
-3, 1/4
Let w(x) be the third derivative of x**7/1890 + x**6/2160 - x**4/8 - 3*x**2. Let u(q) be the second derivative of w(q). Factor u(v).
v*(4*v + 