-(h - 2)*(h - 1)*(h + 1)**2
Let v(r) = -1. Let f(k) = -k. Let p(o) = -f(o) + 6*v(o). Let g be p(9). Factor 0*h + 0 - 1/4*h**2 + 1/4*h**g.
h**2*(h - 1)/4
Let a be -11 - -7 - (-22)/4. Suppose -33/4*t**4 + 3*t**5 - a + 39/4*t**2 - 15/4*t + 3/4*t**3 = 0. What is t?
-1, -1/4, 1, 2
Let l(t) be the third derivative of 0*t - 3*t**2 + 1/420*t**6 + 0 + 4/21*t**3 + 1/42*t**5 + 2/21*t**4. Factor l(v).
2*(v + 1)*(v + 2)**2/7
Let l(c) be the first derivative of -1/2*c**2 + 0*c**3 - 1 - 1/70*c**5 - 1/42*c**4 + 0*c - 1/420*c**6. Let h(m) be the second derivative of l(m). Factor h(r).
-2*r*(r + 1)*(r + 2)/7
Let w(i) be the first derivative of -2*i**5/21 + 2*i**4/7 + 2*i**3/63 - 4*i**2/7 + 8*i/21 + 10. Let w(t) = 0. What is t?
-1, 2/5, 1, 2
Let w(v) be the second derivative of 0*v**4 + v - 1/2*v**2 + 0*v**3 + 1/120*v**5 + 0. Let m(d) be the first derivative of w(d). Factor m(k).
k**2/2
Let a = 1276343/342 + -3732. Let x = a - -127/114. Let -4/9 - x*w + 14/9*w**2 = 0. Calculate w.
-2/7, 1
Let f = -1423/6 - -2345/12. Let b = f + 42. Suppose 0*o**2 + 0 - b*o**3 + 1/4*o = 0. What is o?
-1, 0, 1
Let h(u) be the third derivative of 0*u**6 + 0*u + 3*u**2 + 0 + 1/168*u**8 - 1/12*u**4 + 0*u**3 + 2/105*u**7 - 1/15*u**5. Suppose h(s) = 0. Calculate s.
-1, 0, 1
Let w(d) = -2*d**3 - 6*d**2 - 12*d + 12. Let l(q) = -q**3 - q**2 - q + 1. Let u(a) = -4*l(a) + w(a). Factor u(g).
2*(g - 2)*(g - 1)*(g + 2)
Let l = 363/4 + -1087/12. Factor -l*h**2 + 1/3*h + 0.
-h*(h - 2)/6
Let v(w) be the second derivative of -1/30*w**5 - 1/2*w**2 - 2*w + 0 + 1/3*w**3 + 0*w**4. Let f(p) be the first derivative of v(p). Solve f(r) = 0.
-1, 1
What is h in -4*h**2 + 34*h**5 - 4 - 8*h - 38*h**5 + 12*h**3 + 4*h**4 + 4 = 0?
-1, 0, 1, 2
Factor 3*g**2 + 7 + 9*g - 3 + 0 + 2.
3*(g + 1)*(g + 2)
Let k(a) be the second derivative of -a**6/120 - 3*a**5/80 - a**4/24 + 36*a. Determine n so that k(n) = 0.
-2, -1, 0
Let g = 15/14 - 31/42. Solve 7/6*m**4 - 1/6 + g*m**3 - 5/6*m - m**2 + 1/2*m**5 = 0 for m.
-1, -1/3, 1
Factor 108*n + 24*n**2 + 4/3*n**3 + 0.
4*n*(n + 9)**2/3
Let w = -9 + 29. Suppose -w = -4*n, 0 = -3*m - m + 4*n + 44. Let 3 + 3*a**2 + 5 + 3*a**2 - m*a = 0. What is a?
2/3, 2
Let s(f) be the second derivative of 1/30*f**5 + 0*f**2 - 2*f + 2/9*f**3 + 0 + 1/6*f**4. Factor s(t).
2*t*(t + 1)*(t + 2)/3
Let o = 221/5 + -44. Find z such that 4/5*z**2 - 4/5*z + o = 0.
1/2
Let c be ((-14)/(-6) - 3)/((-8)/3). Find z such that c*z**3 - 1/4*z**2 + 0 - 1/2*z = 0.
-1, 0, 2
Let u = -98/3 + 33. Suppose u + 4/3*m + 1/3*m**4 + 4/3*m**3 + 2*m**2 = 0. Calculate m.
-1
Factor -32/7*m + 4*m**2 - 64/7 - 4/7*m**3.
-4*(m - 4)**2*(m + 1)/7
Let s(z) be the third derivative of z**5/150 + z**4/30 - z**3/5 + z**2. Let s(v) = 0. Calculate v.
-3, 1
Factor -1/2*h - h**2 + 0.
-h*(2*h + 1)/2
Factor 0 - 2/9*o - 2/9*o**2.
-2*o*(o + 1)/9
Let d = 6 + -4. Let o = -64 - -259/4. Suppose 1/4*w - o*w**3 - 1/2 + w**d = 0. Calculate w.
-2/3, 1
Factor -2/9 - 1/9*k**2 - 1/3*k.
-(k + 1)*(k + 2)/9
Let o(j) be the second derivative of -1/4*j**4 + 0*j**3 - 3*j + 0*j**2 - 1/20*j**5 + 0. Suppose o(r) = 0. What is r?
-3, 0
Let i(t) = -t**2 - 2*t - 6. Let q be i(-4). Let l be q/(-10) - 2/5. Find w, given that -l + 3*w - 2*w**3 + w**4 + w + 0*w**4 - 2*w = 0.
-1, 1
Let l(s) be the first derivative of s**4/24 + s**3/9 + s**2/12 + 17. What is f in l(f) = 0?
-1, 0
Factor 0*f**2 - 2*f**2 + 0*f**2 + 0*f**2 + 2*f**4.
2*f**2*(f - 1)*(f + 1)
Let m = -2 + 1. Let w be (12 - 3) + m + -2. Find f such that w*f**4 - f**2 - 11*f**4 + 4*f**4 - 2*f**3 = 0.
-1, 0
Let d(b) = -2*b - 2. Let h be d(-1). Let p(w) be the first derivative of 2 + 0*w + 1/20*w**5 - 1/12*w**3 + h*w**4 + 0*w**2. Solve p(r) = 0 for r.
-1, 0, 1
Suppose -3*q + 10 = -2, -g - 2*q = -11. Factor g + 2 + d**2 - 2 - 2 - 2*d.
(d - 1)**2
Let v(w) be the third derivative of w**5/60 + 7*w**4/12 + 13*w**3/6 - 3*w**2 + 21. Let v(g) = 0. Calculate g.
-13, -1
Let j(w) be the first derivative of w**8/112 + w**7/35 - 3*w**6/40 - w**5/5 + w**4/2 + 5*w**2/2 + 2. Let v(u) be the second derivative of j(u). Factor v(a).
3*a*(a - 1)**2*(a + 2)**2
Let z(u) be the second derivative of u**4/4 - 5*u. Factor z(d).
3*d**2
Let x(c) be the third derivative of c**6/10 + c**5/3 - c**4/3 - c**2. Factor x(u).
4*u*(u + 2)*(3*u - 1)
Let d(a) be the first derivative of -1/4*a**4 + 2/3*a**3 + 0*a - 1/2*a**2 - 2. Let d(t) = 0. Calculate t.
0, 1
Let z(h) = h**2 + 5*h + 6. Let o be z(-4). Let b(k) be the second derivative of -1/90*k**5 + 1/9*k**3 + 2*k + 0 + 0*k**4 + 2/9*k**o. Factor b(d).
-2*(d - 2)*(d + 1)**2/9
Let t(p) = p**2 + 6*p + 4. Let w be t(-6). Let j = w + 0. Suppose -3*y**2 - y - 2*y**2 + j*y**2 + 0*y**2 = 0. Calculate y.
-1, 0
Let z(m) be the third derivative of m**5/60 + m**4/24 + m**3/3 + 2*m**2. Let n(a) = 3*a**2 + 4*a + 7. Let t(w) = -2*n(w) + 7*z(w). Find p, given that t(p) = 0.
0, 1
Let s(p) be the second derivative of -1/4*p**4 + 3*p + 0 + 3*p**3 - 27/2*p**2. Find y such that s(y) = 0.
3
Find v such that 6*v**2 + 1 - 4*v**2 + 8*v + 7 = 0.
-2
What is v in 4*v**4 - 3*v**5 - 16*v**3 + 28*v**3 + 5*v**4 = 0?
-1, 0, 4
Let l(r) = r**3 + r**2 + r. Let g(a) = 8*a**3 - 17*a**2 + 18*a. Let w(k) = g(k) - 3*l(k). Factor w(p).
5*p*(p - 3)*(p - 1)
Let g be (-6)/2 - (-377)/116. What is q in -1/4*q**2 + g*q + 0 = 0?
0, 1
Solve 6/5 + 0*h**2 + 9/5*h - 3/5*h**3 = 0 for h.
-1, 2
Let h(o) be the second derivative of o**6/30 - 2*o**5/5 + 3*o**4/2 - 8*o**3/3 + 5*o**2/2 - 24*o. Suppose h(f) = 0. Calculate f.
1, 5
Let x(d) = -d**3 + 15*d**2 - 16*d + 28. Let s be x(14). Let r(b) be the third derivative of 4*b**2 + 0*b + s + 1/15*b**3 - 2/75*b**5 + 1/20*b**4. Factor r(c).
-2*(c - 1)*(4*c + 1)/5
Let x be (-6)/51 + (-6)/(-51). Factor x*c**2 + 2/9*c**3 + 0 - 2/9*c.
2*c*(c - 1)*(c + 1)/9
Let 0*h**3 + 0 + 0*h - 2/15*h**4 + 0*h**2 - 2/5*h**5 = 0. Calculate h.
-1/3, 0
Let k = -24 + 49/2. Let b(z) be the first derivative of -3/8*z**4 - 1/4*z**2 - 1 + k*z**3 + 1/10*z**5 + 0*z. Suppose b(n) = 0. What is n?
0, 1
Let m(l) be the first derivative of -l**6/165 - 2*l**5/55 - 2*l**4/33 + 4*l - 3. Let n(i) be the first derivative of m(i). Determine v so that n(v) = 0.
-2, 0
Let y(o) be the first derivative of -o**5/25 + 7*o**4/20 - 6*o**3/5 + 2*o**2 - 8*o/5 + 1. Factor y(q).
-(q - 2)**3*(q - 1)/5
Let m be (6/(-36))/(10/(-3)). Let y(t) be the second derivative of m*t**5 + 0 + t**2 + 4*t - 1/2*t**3 + 0*t**4. Factor y(q).
(q - 1)**2*(q + 2)
Let g(a) = -a**2 + 5*a + 5. Let i be g(5). Factor -3*f**4 - 2 - 6*f**2 - 2 + 0*f**4 + i - 8*f**3.
-(f + 1)**3*(3*f - 1)
Let w(j) be the third derivative of -j**8/896 + j**7/140 - j**6/64 + j**5/80 - 8*j**2. Factor w(m).
-3*m**2*(m - 2)*(m - 1)**2/8
Let d(b) be the second derivative of -1/42*b**4 + 0*b**2 - b + 0 - 1/70*b**5 + 1/21*b**3 + 1/105*b**6. Find h such that d(h) = 0.
-1, 0, 1
Let o(z) be the third derivative of z**6/360 - z**5/60 + z**4/36 - 12*z**2. Let o(u) = 0. Calculate u.
0, 1, 2
Let u(j) = j**3 - 5*j**2 - 3. Let i be u(5). Let z(h) = h**3 + 2*h**2 - 4*h + 1. Let d be z(i). Factor -3*w**3 - 2*w**3 + 3*w**5 + 6*w**3 + 3*w**d + w**4.
w**3*(w + 1)*(3*w + 1)
Let z be (6 + (-129)/21)*-2. Find f such that -5/7*f**2 + f - z = 0.
2/5, 1
Let z(g) be the third derivative of -2*g**7/105 - g**6/60 + g**5/15 + g**4/12 - 5*g**2. Find w, given that z(w) = 0.
-1, -1/2, 0, 1
Let q(x) be the first derivative of -3*x**5/20 + 9*x**4/8 + 8. Factor q(o).
-3*o**3*(o - 6)/4
Let z be (-2)/1*10/(-4). Let d be 23/6 + 3/(-2). Factor 14/3*l**2 + 2/3 - 16/3*l**4 + 4/3*l**3 + d*l**z - 11/3*l.
(l - 1)**3*(l + 1)*(7*l - 2)/3
Let u(s) = s - 4. Suppose -5*r - 17 - 18 = -5*x, -3*x + 19 = -5*r. Let i be u(x). Suppose n**3 + 5*n**4 + 3*n + 2*n - n**2 - 6*n - i*n**4 = 0. What is n?
-1, 0, 1
Let a(p) = 6*p**2 + 21*p + 18. Let m(u) = -13*u**2 - 43*u - 37. Let g(k) = -7*a(k) - 3*m(k). Factor g(b).
-3*(b + 1)*(b + 5)
Let z(q) be the first derivative of -3 + 0*q - 3/10*q**6 + 12/25*q**5 - 2/5*q**3 + 3/20*q**4 + 0*q**2. Solve z(h) = 0 for h.
-2/3, 0, 1
Let x(y) be the third derivative of -y**5/120 - y**4/48 - 7*y**2. Factor x(t).
-t*(t + 1)/2
Let a = 246 - 1718/7. Find o, given that 0*o - a*o**3 + 0 + 2/7*o**4 + 2/7*o**2 = 0.
0, 1
Suppose -4*k + 3*v + 17 = 0, 0 = -3*v + v + 2. Solve -2*f**k - 25*f**3 - 4*f**4 + 10*f**3 + 13*f**3 = 0 for f.
-1, 0
Suppose 5*u + 35 = 5*p