- w + 1. Let s(o) = -4*o**4 + 7*o**3 - 4*o**2 + 5*o - 5. Let u(k) = c*l(k) + s(k). Factor u(y).
y**2*(y + 1)**2
Let f(h) be the third derivative of 0 + 1/30*h**5 - 1/336*h**8 + 0*h**7 + 0*h**3 + 0*h**4 - 2*h**2 + 0*h + 1/40*h**6. Find z, given that f(z) = 0.
-1, 0, 2
Let f = -1 + 2. Suppose 4*d - d + f = 4*c, -41 = -4*c - 5*d. Factor -4*r**3 - 2*r**c + 2*r**3 + 3*r**4.
r**3*(r - 2)
Factor 20 + 4771*p**2 + 21*p - 65*p - 4743*p**2 - 4*p**3.
-4*(p - 5)*(p - 1)**2
Factor 50*z - 12*z**3 + z**4 - 28*z**2 - 66*z - z**5 + 2*z**5.
z*(z - 4)*(z + 1)*(z + 2)**2
Let m(d) = d**4 + 3*d**3 + 4*d**2 + 4*d. Let z(r) = 2*r**4 + 4*r**3 + 5*r**2 + 5*r. Let g be ((-4)/(-5))/(3/(-15)). Let q(h) = g*z(h) + 5*m(h). Solve q(a) = 0.
-1/3, 0
Let z be (-11)/(-5)*(-35)/14. Let d = z + 7. Factor 0*l - 3/2*l**2 + d.
-3*(l - 1)*(l + 1)/2
Let c be -6*1/(-2)*6. Let a**2 - a + c*a**3 - 17*a**3 - 1 + 0*a**2 = 0. Calculate a.
-1, 1
Let g = -432374 - -15566957/36. Let v = g + -165/4. Suppose 2/9*l + 0 + v*l**2 = 0. Calculate l.
-1, 0
Solve -16/7*w - 30/7*w**2 + 0 + 2/7*w**4 - 12/7*w**3 = 0.
-1, 0, 8
Let t be 8/(-10)*15/(-6). What is y in 2*y - 3*y + 6*y**3 + 3*y - 2*y**4 - 6*y**t = 0?
0, 1
Let d(f) be the first derivative of 8*f**5/5 - 7*f**4/2 - 12*f**3 + 28*f**2 + 16*f + 9. Solve d(r) = 0.
-2, -1/4, 2
Let d(w) be the third derivative of w**8/10080 - w**7/2520 - w**6/180 - w**5/10 - 7*w**2. Let k(m) be the third derivative of d(m). Factor k(o).
2*(o - 2)*(o + 1)
What is k in -31*k**2 + 52*k**2 - 25*k**2 + 28*k - 24 = 0?
1, 6
Suppose y + a - 7 = 0, 0 = 3*y + 4*a + a - 31. Determine x, given that 0*x + 2/9*x**4 + 2/9*x**y + 0 + 4/9*x**3 = 0.
-1, 0
Factor 253*m - 45 + 0*m**2 - 5*m**2 - 223*m + 0*m**2.
-5*(m - 3)**2
Factor 4*i**5 - 4*i**3 - 5*i**4 + i**4 + 0*i**5 + 4*i**2 + 0*i**5.
4*i**2*(i - 1)**2*(i + 1)
Let t = 2309/72 - 237/8. Let w = t - 4/3. Factor 4/9 + 2/3*o**2 + 2/9*o**3 - w*o - 2/9*o**4.
-2*(o - 1)**3*(o + 2)/9
Suppose 8/7*f**2 + 0*f + 12/7*f**3 + 0 + 4/7*f**4 = 0. What is f?
-2, -1, 0
Let j be 3 - (-3)/(2 + 1). Let d = j + -2. Factor -12*f**3 + 12*f**3 + 2*f**4 - d*f**2.
2*f**2*(f - 1)*(f + 1)
Suppose -5*n + 34 = -3*g, 4*g + n + 28 = -n. Let k be (-16 - -8)*2/g. What is z in 1/3*z + 0*z**k + 0 - 1/3*z**3 = 0?
-1, 0, 1
Let q(h) = 6 + 0*h**2 - 2*h + h**2 - 3. Let g be q(3). Factor 14*c**3 + 4*c - g*c**4 - 6*c**2 - 2*c - 4*c**2.
-2*c*(c - 1)**2*(3*c - 1)
Let f(u) be the second derivative of -5/72*u**4 + 1/9*u**3 + 0 + 1/45*u**5 - u**2 + 2*u - 1/360*u**6. Let y(r) be the first derivative of f(r). Factor y(z).
-(z - 2)*(z - 1)**2/3
Let t(a) be the first derivative of a**5/5 - 11*a**4/12 + 8*a**3/9 + 2*a**2/3 - 16. Suppose t(b) = 0. What is b?
-1/3, 0, 2
Suppose 15 = 4*d + d. Let n(w) be the third derivative of 0*w - 1/420*w**6 - 1/21*w**d + 0 + 1/210*w**5 + 1/84*w**4 - 3*w**2. Let n(f) = 0. What is f?
-1, 1
Let d = -113 + 113. Factor 6/5*w**2 + d*w + 0*w**3 - 3/5*w**4 - 3/5.
-3*(w - 1)**2*(w + 1)**2/5
Solve -2/9*y - 4/9*y**2 + 0 - 2/9*y**3 = 0.
-1, 0
Let w(g) be the first derivative of -g**8/560 - g**7/350 + 3*g**6/200 + g**5/20 + g**4/20 + 2*g**2 + 1. Let y(l) be the second derivative of w(l). Factor y(n).
-3*n*(n - 2)*(n + 1)**3/5
Let f(n) be the first derivative of -2/15*n**3 + 1/30*n**6 + 0*n**4 - 1/10*n**2 + 5 + 2/25*n**5 + 0*n. Factor f(h).
h*(h - 1)*(h + 1)**3/5
Suppose -2*n + 6 + 8 = 0. Let m = n + -5. Solve 5/3*q**m + 4*q + 4/3 = 0.
-2, -2/5
Let u(c) be the second derivative of -c**4/18 - c**3/9 + 2*c. Find x such that u(x) = 0.
-1, 0
Let m = 1 + 3. Factor -2*f**2 + 4*f + 5*f**m - 4*f**3 - 2*f**3 - 3*f**4 + 2*f**5.
2*f*(f - 1)**2*(f + 1)*(f + 2)
Let l(c) be the second derivative of 1331*c**6/45 + 121*c**5/6 - 33*c**4 + 124*c**3/9 - 8*c**2/3 - 5*c. Factor l(g).
2*(g + 1)*(11*g - 2)**3/3
What is g in -1/4*g**4 + 1/4*g + 3/4*g**2 - 1/2 - 1/4*g**3 = 0?
-2, -1, 1
Let t be 2*(2/3 - 11/33). Factor t*v - 2/3*v**3 - 2/3 + 2/3*v**2.
-2*(v - 1)**2*(v + 1)/3
Let y(u) be the second derivative of -u**4/3 + u**3/3 + u**2 + 5*u. What is x in y(x) = 0?
-1/2, 1
Let a(q) = -q**3 + 3*q**2 + 12*q - 7. Let l be a(5). Determine g, given that 0*g + 0*g**2 - 2/5*g**l + 0 = 0.
0
Suppose -5*w = -20, -k - 2*w = -4*k - 8. Let r = 0 + k. Find c such that -2/7*c**3 + 2/7*c**2 + r*c + 0 = 0.
0, 1
Let i be 6/21 + (-99)/(-21). Suppose 4*x = i*x - 3*k - 11, 5*x = k + 13. Determine s so that -2*s**3 + 0*s**2 + 2*s**4 - 2*s**x + 0*s**5 + 2*s**5 = 0.
-1, 0, 1
Factor -1/3*c**3 + 4/3*c + 2/3*c**2 - 8/3.
-(c - 2)**2*(c + 2)/3
Let t(s) be the second derivative of s**7/126 - s**6/45 + s**4/18 - s**3/18 - 19*s. Factor t(w).
w*(w - 1)**3*(w + 1)/3
Suppose n + 3 = 5*d + 4, 4*d = -n + 19. Suppose 12*f = n*f. Suppose f + 2/3*y**2 - 4/3*y = 0. What is y?
0, 2
Factor -2/11*j**2 - 24/11*j + 26/11.
-2*(j - 1)*(j + 13)/11
Suppose u - 2*k = 0, -3*k + 2 = -5*u + 16. Suppose 2*y - u*x = -8, -y + 3*y + 2*x = 4. Find m such that y*m + 2/5 - 2/5*m**2 = 0.
-1, 1
Let t = 1/869 + 76469/2607. Let c = t + -29. Factor 0*i + 1/3*i**2 - c.
(i - 1)*(i + 1)/3
Factor 3/5*w**2 + 9*w**4 + 0*w + 21/5*w**3 + 27/5*w**5 + 0.
3*w**2*(w + 1)*(3*w + 1)**2/5
Suppose 3*y + 2 + 1 = 0. Let f = 3 + y. Factor -i**3 + f*i + 3*i**2 + 0*i - 5*i + 1.
-(i - 1)**3
Let l(h) be the second derivative of -h**6/120 + h**5/20 - h**4/12 - 6*h. Factor l(q).
-q**2*(q - 2)**2/4
Let a(o) be the first derivative of o**4/30 - 10*o**3/9 + 56*o**2/5 - 96*o/5 - 37. Factor a(v).
2*(v - 12)**2*(v - 1)/15
Let n(d) be the second derivative of 0*d**3 - 1/12*d**4 - 3*d + 0 + 0*d**2 + 1/40*d**5. Find x such that n(x) = 0.
0, 2
Let i(h) be the third derivative of -h**6/480 + h**5/60 - h**4/32 + 4*h**2. Factor i(s).
-s*(s - 3)*(s - 1)/4
Let d(a) be the third derivative of 0*a**3 + 2*a**2 + 0 + 0*a - 1/100*a**5 + 1/40*a**4. Factor d(n).
-3*n*(n - 1)/5
Let k(t) be the second derivative of -t + 0*t**3 + 1/10*t**6 + 1/18*t**7 + 0*t**2 + 0 + 0*t**4 + 1/30*t**5. Find g such that k(g) = 0.
-1, -2/7, 0
Let t = 9 + -9. Factor v + t*v - 3*v + v**2.
v*(v - 2)
Let a(l) be the second derivative of 9*l + 5/33*l**3 - 4/11*l**2 + 0 - 1/66*l**4. Factor a(u).
-2*(u - 4)*(u - 1)/11
Let q = -1516 - -159181/105. Let d(l) be the second derivative of -2/7*l**2 + l - 1/14*l**4 + 0 + q*l**6 - 1/70*l**5 + 5/21*l**3. Find n, given that d(n) = 0.
-2, 1
Let z(f) be the second derivative of -f**8/6720 - f**7/2520 - f**4/3 + 3*f. Let i(o) be the third derivative of z(o). Find t, given that i(t) = 0.
-1, 0
Let g be 0*(-5 + 2 - 28/(-8)). Determine q so that 3/5*q**2 - 3/5*q**3 + g - 6/5*q**4 + 0*q = 0.
-1, 0, 1/2
Let x(s) = -s + 1. Let q be x(-1). Let i = -7325/4 + 1832. Let -i*c**q + 3*c - 3 = 0. What is c?
2
Let v(t) = -t + 2. Let k be v(2). Let z = 32/75 - -6/25. Let z*g**3 + 0*g + k + 1/3*g**4 + 0*g**2 = 0. Calculate g.
-2, 0
Let k(y) be the third derivative of -1/168*y**8 + y**2 + 0*y**5 + 0 + 0*y**4 + 1/105*y**7 + 1/30*y**6 + 0*y**3 + 0*y. Factor k(c).
-2*c**3*(c - 2)*(c + 1)
Let p(d) be the third derivative of d**6/160 + d**5/20 + 5*d**4/32 + d**3/4 + 2*d**2. Factor p(k).
3*(k + 1)**2*(k + 2)/4
Let i = 3 - 5. Let d = 3 - i. Factor -2*b**5 + b**d - b**3 - 2*b**5 + 4*b**5.
b**3*(b - 1)*(b + 1)
Let k(c) be the first derivative of c**5/30 + c**4/24 - c**3/9 + 49. Find v, given that k(v) = 0.
-2, 0, 1
Let l = 1 - 1. Find v such that -v**3 + v**2 + l*v**2 - 2*v**2 = 0.
-1, 0
Let b(l) be the first derivative of -2*l**5/5 - l**4 + 8. Solve b(r) = 0 for r.
-2, 0
Let j(q) be the second derivative of -3*q**2 - 1/8*q**4 + q**3 - 2*q + 0. Solve j(u) = 0 for u.
2
Suppose 2*i = -i + 12. Factor 4*d + 0*d**2 + 2*d**3 - i*d - 4*d**2.
2*d**2*(d - 2)
Let t(i) be the second derivative of i**6/14 - 24*i**5/35 + 18*i**4/7 - 32*i**3/7 + 24*i**2/7 + 5*i. Suppose t(r) = 0. What is r?
2/5, 2
Let d = 1 - -1. Factor 2*h**3 - 2*h**2 + 0*h**3 + 28*h + 8 + 3*h**3 + 24*h**d.
(h + 2)**2*(5*h + 2)
Factor -64/3*u - 4/3*u**3 + 0 - 32/3*u**2.
-4*u*(u + 4)**2/3
Let q = 37 - 37. Let u(y) be the second derivative of 0 + 2*y + q*y**2 - 1/30*y**4 + 2/15*y**3. Find a, given that u(a) = 0.
0, 2
Let r(h) be the first derivative of 5/8*h**2 - 3 - 1/2*h - 5/16*h**4 + 1/6*h**3. Factor r(p).
-(p - 1)*(p + 1)*(5*p - 2)/4
Let m(b) = -b**5 + 4*b**4 + 4*b**3 - 12*b**2 - 7*b + 2. Let z(d) = 3*d**5 - 12*d**4 - 13*d**3 + 36*d**2 + 20*d - 7. Let i(u) = -7*m(u