ctor -6/5*z + 3*z**4 + 0 + p*z**2 - 36/5*z**3.
3*z*(z - 1)**2*(5*z - 2)/5
What is w in 2*w**4 + 18*w**3 + 10*w**3 + 6*w**2 + 17*w**3 - 53*w**3 = 0?
0, 1, 3
Let w = -16/39 + 40/39. Let -w*k**2 + 4/13*k**4 - 4/13*k**3 + 2/13*k + 4/13 + 2/13*k**5 = 0. Calculate k.
-2, -1, 1
Suppose -2 = w, -3*p - p + 4*w + 24 = 0. Suppose 1 - p = -j. Factor -3*f + 3/2*f**2 - 1/4*f**j + 2.
-(f - 2)**3/4
Factor -3/2*f + 1 + 1/2*f**2.
(f - 2)*(f - 1)/2
Factor 648 + 40*k**2 + 72*k + 38*k**2 - 76*k**2.
2*(k + 18)**2
Let z = 19 - 16. Determine s, given that -5*s**3 + 2*s**4 + 4*s + 0*s - 2 + s**z = 0.
-1, 1
Suppose -2*z = -4*o - 5 - 1, -3*z = o + 5. Let s be 4/16 + 0/z. Factor v**2 + 3/4*v - s.
(v + 1)*(4*v - 1)/4
Let f(s) be the third derivative of -2*s**7/105 - s**6/30 + s**5/5 + 5*s**4/6 + 4*s**3/3 - 2*s**2 + 26. Factor f(j).
-4*(j - 2)*(j + 1)**3
Let p(b) = -b**3 + 11*b**2 - 11*b + 13. Let t be p(10). Factor -u**3 + t - u**2 + u + 2 - 4.
-(u - 1)*(u + 1)**2
Let t(c) be the second derivative of 4*c + 0 - 1/6*c**3 - 1/12*c**4 - 1/6*c**2 - 1/60*c**5. Factor t(d).
-(d + 1)**3/3
Let l(x) be the second derivative of -x**4/30 + x**2/5 + 7*x. Let l(o) = 0. What is o?
-1, 1
Let j(a) be the third derivative of a**10/105840 - a**9/52920 + a**4/6 + 3*a**2. Let c(y) be the second derivative of j(y). Factor c(z).
2*z**4*(z - 1)/7
Suppose -s + 2*s = 0. Suppose i - 5 = -s*i. Let 0*c + 0 + 2/9*c**2 - 2/9*c**3 + 2/9*c**i - 2/9*c**4 = 0. Calculate c.
-1, 0, 1
Let o(g) be the second derivative of 0*g**3 + 0*g**2 + 0 + 9*g - 1/12*g**4. Find m, given that o(m) = 0.
0
Let d(z) = -3*z**2 - 34*z + 17. Let g(j) = -j + 1. Let i(n) = -3*d(n) + 24*g(n). Factor i(v).
3*(v + 9)*(3*v - 1)
Let w(x) = -x**4 - x**3 + x + 1. Let m(i) = -9*i**4 + 11*i**3 - 5*i**2 - 11*i + 14. Let y(s) = m(s) - 4*w(s). Factor y(p).
-5*(p - 2)*(p - 1)**2*(p + 1)
Let s(h) be the second derivative of h**7/1260 - h**5/60 + h**4/18 - h**3/3 - 6*h. Let a(n) be the second derivative of s(n). Factor a(i).
2*(i - 1)**2*(i + 2)/3
Suppose 9*s + 2 = 10*s. Suppose b + b = s*l + 2, 3*l - 2 = 2*b. Find c, given that 3/4*c**l + 3 + 39/4*c**2 - 9*c - 9/2*c**3 = 0.
1, 2
Let b = 10/11 - 8/33. Let n be (1/(-6))/((-2)/4). Let n*r**2 - b - 1/3*r = 0. Calculate r.
-1, 2
Let n(c) = 2*c**4 - 2*c**3 - 7*c**2 + 3*c + 3. Let z(o) = -2*o**4 + 2*o**3 + 8*o**2 - 4*o - 4. Let f(i) = -4*n(i) - 3*z(i). Factor f(u).
-2*u**2*(u - 2)*(u + 1)
Let s(c) be the second derivative of c**6/10 + 3*c**5/10 - c**3 - 3*c**2/2 - 31*c. Let s(p) = 0. Calculate p.
-1, 1
Factor -1/4*o - 3/4 + 3/4*o**2 + 1/4*o**3.
(o - 1)*(o + 1)*(o + 3)/4
Let x be (-685)/100 + 4 - -3. Let q(n) be the second derivative of 1/6*n**3 + 1/4*n**4 + 1/30*n**6 + 0*n**2 + 0 + n + x*n**5. Factor q(k).
k*(k + 1)**3
Let i(s) be the first derivative of -3*s**3 - 3*s**2 - 20. Factor i(h).
-3*h*(3*h + 2)
Let n(q) = 7*q**3 + 4*q**2 + 6*q. Let x(f) = -20*f**3 - 11*f**2 - 17*f. Let b(i) = 17*n(i) + 6*x(i). Let b(j) = 0. Calculate j.
0, 2
Let d(b) = b + 3. Let s be d(3). Let t(p) = p**2 - 5*p - 4. Let o be t(s). Factor -v + v**4 - v**3 + 0*v**4 + 2*v - v**o.
v*(v - 1)**2*(v + 1)
Let c(z) be the second derivative of -z**7/560 - z**6/240 + z**5/40 + z**3/2 + 4*z. Let f(b) be the second derivative of c(b). Factor f(i).
-3*i*(i - 1)*(i + 2)/2
Let p be 8/(-6)*(-17)/12. Let s = 20/9 - p. Factor -2/3*b - 1/3*b**2 - s.
-(b + 1)**2/3
Let y be 40/(-105) - (1 - 15/9). Factor 6/7*s + 2/7*s**3 - 6/7*s**2 - y.
2*(s - 1)**3/7
Let s(v) = -7*v**4 + 2*v**3 + 6*v**2 - 8*v - 5. Let m(b) = 7*b**2 - 11*b - 5 - 1 + b - 8*b**4 + b + 2*b**3. Let x(k) = 6*m(k) - 7*s(k). Solve x(g) = 0.
-1, 1
Suppose 2*l - 5*v + 106 = 0, -5*l - 101 - 106 = 2*v. Let u = l + 173/4. What is i in -1/4*i - 1/2 + 3/4*i**2 + u*i**3 - 1/4*i**4 = 0?
-1, 1, 2
Let d = -4 + 7. Factor -3*k**4 - 3*k**d - 3*k**5 + 3*k**2 + 4*k**5 + 2*k**5.
3*k**2*(k - 1)**2*(k + 1)
Let w(a) be the third derivative of a**10/604800 + a**9/241920 + a**5/15 - 2*a**2. Let g(t) be the third derivative of w(t). Suppose g(j) = 0. Calculate j.
-1, 0
Let y(c) = -c**2 + 7*c + 3. Let a be y(7). What is i in -3*i**2 + 2*i**4 - 2*i**2 + a*i**2 - 18*i**3 + 16*i**3 + 2*i = 0?
-1, 0, 1
Let p(l) be the second derivative of l**8/1680 + l**7/420 - l**6/360 - l**5/60 - 5*l**3/6 - 8*l. Let v(c) be the second derivative of p(c). Factor v(u).
u*(u - 1)*(u + 1)*(u + 2)
Let y(d) = -d. Let z(q) = 3*q**2 - 6*q + 12. Let u(j) = 6*y(j) + z(j). Suppose u(h) = 0. What is h?
2
Let 0 - 3/8*r**3 + 3/8*r - 3/8*r**4 + 3/8*r**2 = 0. Calculate r.
-1, 0, 1
Factor -2*r**3 - 2*r**4 - 3*r**4 + 8*r**2 - 48*r**5 + 47*r**5.
-r**2*(r - 1)*(r + 2)*(r + 4)
Let g be (-3 - -8) + -3 + 1. Factor -16/7*b - 8/7 - 2/7*b**g - 10/7*b**2.
-2*(b + 1)*(b + 2)**2/7
Suppose -n + 2*n - 2 = 0. Factor -5*r**2 - 6*r**2 + 2*r - r**2 + 5*r**n.
-r*(7*r - 2)
Let v(z) = 5*z - 1. Suppose 5*y + 1 = 6. Let d be v(y). Suppose o**2 + 2*o + 5*o**2 - 10*o**4 - 3*o**5 + 4*o**d + o = 0. Calculate o.
-1, 0, 1
Let c(y) be the first derivative of 2/21*y**3 - 2/7*y + 0*y**2 + 2. Factor c(h).
2*(h - 1)*(h + 1)/7
Let w = 60 - 60. Let w + 0*i + 1/2*i**2 = 0. What is i?
0
Solve -4/3*b - 4/3*b**2 + 4/3*b**3 + 0 + 4/3*b**4 = 0.
-1, 0, 1
Suppose -3*x - 3*d - 3 = -27, -2*x = 5*d - 31. Let -4/5 - 2*i - 8/5*i**2 - 2/5*i**x = 0. What is i?
-2, -1
Factor -2/7*q - 2/7*q**2 + 0.
-2*q*(q + 1)/7
Suppose -9*w**4 - 11*w**4 + 6*w**3 - 15*w + 4*w**5 + 18*w**3 + 16*w**2 - 17*w = 0. Calculate w.
-1, 0, 2
Let j = 141 - 139. Let g(d) be the third derivative of 0*d**4 + 0*d**3 + 0 + 1/300*d**6 - 1/150*d**5 - 2*d**j + 0*d. Let g(t) = 0. Calculate t.
0, 1
Let l(t) be the second derivative of -t**4/28 + 2*t**3/7 - 6*t**2/7 + 25*t. Factor l(y).
-3*(y - 2)**2/7
Let i(l) be the second derivative of -35*l**4/16 - 3*l**3/8 + 3*l**2/4 - 4*l. Solve i(g) = 0.
-2/7, 1/5
Let c(n) be the first derivative of -2*n**3/3 - 2*n**2 + 6*n + 26. Let c(r) = 0. What is r?
-3, 1
Let g(x) = -x**2 + 7*x - 1. Let r be g(6). Let -z**3 + r - 5 - z**2 = 0. What is z?
-1, 0
Suppose 3 - 11 = -4*l. Let y(g) be the first derivative of -2 + 1/3*g**3 + 1/2*g**l + 0*g. Factor y(c).
c*(c + 1)
Let x(t) be the first derivative of t**3/2 + 3*t**2/4 - 9*t + 38. Factor x(c).
3*(c - 2)*(c + 3)/2
Let x(g) be the third derivative of 0*g + 0*g**4 + 0 + 0*g**6 + 1/315*g**7 + 0*g**3 + 0*g**5 - 3*g**2. Find a, given that x(a) = 0.
0
Determine h so that 0 + 2/7*h**2 - 2/7*h**4 + 2/7*h**3 + 0*h - 2/7*h**5 = 0.
-1, 0, 1
Let b(l) be the third derivative of l**7/350 + l**6/100 - 7*l**5/100 + l**4/10 + 24*l**2. Let b(m) = 0. Calculate m.
-4, 0, 1
Let y be (-26)/264 - 12/(-66). Let w(z) be the second derivative of -y*z**4 + 2*z + 1/20*z**5 + 0*z**3 + 0*z**2 + 0. Factor w(s).
s**2*(s - 1)
Let 4*a + 95 + 5*a - 3*a**3 - 101 = 0. Calculate a.
-2, 1
Let t(o) be the third derivative of o**7/350 + 11*o**6/600 + o**5/20 + 3*o**4/40 + o**3/15 + 2*o**2. Factor t(r).
(r + 1)**3*(3*r + 2)/5
Let r be 3*-1*(-3 + 2). Let s = 11 - 10. Factor -s - t**2 - 5*t + 0*t + r*t.
-(t + 1)**2
Factor 0*u - 15/4*u**2 + 0 - 5*u**3 - 5/4*u**4.
-5*u**2*(u + 1)*(u + 3)/4
Let d = -6 + 8. Suppose 10 = 4*u + p, 3*u - 8 = -p - 0. Factor 0*x**d - x**2 - x**2 + u.
-2*(x - 1)*(x + 1)
Let j(n) = -10*n. Let v be j(-1). Factor f + 0*f - v*f - 6*f**2 - 3.
-3*(f + 1)*(2*f + 1)
Let v = -19 - -22. Let g be -2 - v*(-78)/81. Factor -4/3*c**2 + g*c - 10/9*c**3 + 16/9 - 2/9*c**4.
-2*(c - 1)*(c + 2)**3/9
Let n be 2 + 0/(-4) + 0. Determine z, given that 5*z**5 - z**2 + 5*z**n - 3*z**5 - 6*z**3 = 0.
-2, 0, 1
Let -2/11*u**5 + 4/11 - 4/11*u**2 - 6/11*u + 8/11*u**3 + 0*u**4 = 0. Calculate u.
-2, -1, 1
Let z be -6*5/(-315)*12. What is q in 0*q**2 + 0 + 2/7*q**4 + z*q - 6/7*q**3 = 0?
-1, 0, 2
Factor -5/2*i - 10 + 5/2*i**3 + 10*i**2.
5*(i - 1)*(i + 1)*(i + 4)/2
Suppose 133 = -3*w + 2*s, -2*w - 5*s = -4*w - 107. Let n = w + 165/4. Suppose -1/4*q**2 + n*q**4 + 0 + 1/4*q**5 - 1/4*q**3 + 0*q = 0. Calculate q.
-1, 0, 1
Let c = 21 - -2. Let i = c + -20. Factor -6/5*t**2 + 2/5*t**i - 2/5 + 6/5*t.
2*(t - 1)**3/5
Let u be (-6)/(-21) + 33856/(-63). Let r = 538 + u. Factor -4/9*a**3 - 2/9*a**4 + 8/9*a + 2/3*a**2 - r.
-2*(a - 1)**2*(a + 2)**2/9
Suppose -f + 4 = 1. Let n be (-35)/(-10) - (-1)/(-2). What is l in -4*l - f*l**2 - 2*l**2 + 0*l + 7*l**2 + 2*l**n = 0?
-2, 0, 1
Let b(t) be the first derivative of -4*t*